quick pls :

A recipe calls for 4 cups of flour for
every 3 dozen cookies, How many
cups of flour are needed to make
15 dozen cookies?

Answer:

values of x and y is (4, -2), (0, 0) and (2, 10)

Step-by-step explanation:

\( - 5 = > 45 \\ - 4 = > 28 \\ - 3 = > 15 \\ - 2 = > 6 \\ - 1 = > 1 \\ 0 = > 0 \\ 1 = > 3 \\ 2 = > 10 \\ 3 = > 21\)

Explanation:

We can model the situation as:

Since P and R have a y-coordinate equal to 0, Q has a y-coordinate 0

Now, to calculate the x-coordinate, we can formulate the following equations:

Rx - Px = 3a

Qx - Px = 2a

Where Rx is the x-coordinate of R, Px is the x-coordinate of P and Qx is the x-coordinate of Q. So, replacing the values:

-12 - 0 = 3a

x - 0 = 2a

Now, solving for a, we get:

-12 - 0 = 3a

-12 = 3a

-12/3 = a

-4 = a

Replacing on the second equation, we get:

x - 0 = 2a

x = 2a

x = 2*(-4)

x = -8

Therefore, the coordinates of Q are (-8, 0)

Answer: (-8, 0)

The linear distance traveled in one revolution of a wheel can be calculated using the formula:

Circumference = π * Diameter

Given that the diameter of the wheel is 36 inches, we can substitute the value into the formula:

Circumference = π * 36 inches

Using an approximate value of π as 3.14159, we can calculate the circumference:

Circumference ≈ 3.14159 * 36 inches

Circumference ≈ 113.09724 inches

Therefore, the linear distance traveled in one revolution of a 36-inch diameter wheel is approximately 113.09724 inches.

Answer:

Step-by-step explanation:

Answer:

so its C

Step-by-step explanation:

teacher said so

Answer:

x is 76

Step-by-step explanation:

im pretty sure, i just sloved it

Answer:

76.

Step-by-step explanation:

Simplifying

-4(x + -26) = -200

Reorder the terms:

-4(-26 + x) = -200

(-26 * -4 + x * -4) = -200

(104 + -4x) = -200

Solving

104 + -4x = -200

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-104' to each side of the equation.

104 + -104 + -4x = -200 + -104

Combine like terms: 104 + -104 = 0

0 + -4x = -200 + -104

-4x = -200 + -104

Combine like terms: -200 + -104 = -304

-4x = -304

Divide each side by '-4'.

x = 76

Simplifying

x = 76

In the US, housing prices and consumption generally change in the same direction.

Changes in housing prices can have an impact on consumption patterns in the US. Generally, when housing prices increase, consumption also tends to increase, and when housing prices decrease, consumption tends to decrease as well. This relationship can be attributed to several factors. Firstly, when housing prices rise, homeowners experience an increase in their wealth through home equity.

This increase in wealth can lead to higher consumer confidence and a willingness to spend more on goods and services, thereby boosting consumption. Secondly, rising housing prices can also lead to a "wealth effect" for homeowners. This means that homeowners may feel wealthier and more financially secure, leading them to increase their discretionary spending and overall consumption. Conversely, when housing prices decline, homeowners may experience a decrease in their wealth and financial security.

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The volume will be 9 times increased if she triples the dimension of the square. So, yes, he is right because 3 is 2 times in the formula.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Given

Clare sketches a rectangular prism with a height of 11 and a square base and labels the edges of the base 8.

The side of the square is 8.

The height of the prism is 11.

Volume = Area of square × height.

The volume of the original prism will be.

\(\rm V_1 = 8 * 8 * 11\\\\V_1 = 704\)

If she triples the side of the square.

Then dimensions will be

The side of the square is 24.

The height of the prism is 11.

The volume of the modified prism will be.

\(\rm V_2 = 24 * 24* 11\\\\V_2 = 9*704\\\\V_2 = 9 \ Times \ of \ V_1\)

Thus, the volume will be 9 times bigger. So, yes, he is right because 3 is 2 times in the formula.

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Answer:

20% of 70 is 14

Step-by-step explanation:

l

Step-by-step explanation:

given m = 3, p = 15 and n = 5,

\(2p - nm - 4 \\ = 2(15) - (5)(3) - 4 \\ = 30 - 15 - 4 \\ = 15 - 4 \\ = 11\)

Recall Euler's theorem: if \(\gcd(a,n) = 1\), then

\(a^{\phi(n)} \equiv 1 \pmod n\)

where \(\phi\) is Euler's totient function.

We have \(\gcd(9,32) = 1\) - in fact, \(\gcd(9,32^k)=1\) for any \(k\in\Bbb N\) since \(9=3^2\) and \(32=2^5\) share no common divisors - as well as \(\phi(9) = 6\).

Now,

\(37^{32} = (1 + 36)^{32} \\\\ ~~~~~~~~ = 1 + 36c_1 + 36^2c_2 + 36^3c_3+\cdots+36^{32}c_{32} \\\\ ~~~~~~~~ = 1 + 6 \left(6c_1 + 6^3c_2 + 6^5c_3 + \cdots + 6^{63}c_{32}\right) \\\\ \implies 32^{37^{32}} = 32^{1 + 6(\cdots)} = 32\cdot\left(32^{(\cdots)}\right)^6\)

where the \(c_i\) are positive integer coefficients from the binomial expansion. By Euler's theorem,

\(\left(32^{(\cdots)\right)^6 \equiv 1 \pmod9\)

so that

\(32^{37^{32}} \equiv 32\cdot1 \equiv \boxed{5} \pmod9\)

The values of 'a' for which all solutions of the given differential equation tend to zero as t approaches zero are a ∈ (-∞, 0) ∪ (4, ∞).

On the other hand, the values of 'a' for which all nonzero solutions become unbounded as t approaches infinity are a ∈ (0, 4).

To determine the values of 'a' for which all solutions tend to zero as t approaches zero, we need to analyze the behavior of the differential equation near t = 0. By studying the characteristic equation associated with the differential equation, we find that the roots are given by r = 2 and r = a. For the solutions to tend to zero as t approaches zero, we require the real parts of the roots to be negative. This condition leads to a ∈ (-∞, 0) ∪ (4, ∞).

To determine the values of 'a' for which all nonzero solutions become unbounded as t approaches infinity, we again examine the characteristic equation. The roots are given by r = 2 and r = a. For the solutions to become unbounded as t approaches infinity, we need at least one of the roots to have a positive real part. Therefore, the values of 'a' that satisfy this condition are a ∈ (0, 4).

In summary, the values of 'a' for which all solutions tend to zero as t approaches zero are a ∈ (-∞, 0) ∪ (4, ∞), and the values of 'a' for which all nonzero solutions become unbounded as t approaches infinity are a ∈ (0, 4).

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Answer: Choice D.  (0,-2)

Note how this point is in the blue region, but it is not in the red region. The solution must satisfy all of the shaded regions of the system of inequalities. The red and blue regions overlap to form the darker shaded region on the right side (the somewhat grayish purple triangular region). Points in this darkest shaded region are solutions to the system. The points (5,2), (0,3) and (4,0) are all located in this region so they are solutions.

Answer:

The probability that we will obtain a sample mean greater than 21" is 0.00164 (\( \\ P(\overline{x}>21) = P(z>2.94) = 0.00164\)).

Step-by-step explanation:

The fundamental concept to understand to answer this question is, at least, the sampling distribution of means. Roughly speaking, this is the distribution of different means, \( \\ \overline{x}\), of the random variable \( \\ x\) for samples of the same size, \( \\ n\). That is, for each sample, we get its mean, and the probability distribution of them is called the sampling distribution of means.

As the sample size, \( \\ n\), is greater, the distribution of \( \\ \overline{x}\) follows a normal distribution with mean that equals the population mean, \( \\ \mu\), and standard deviation that equals \( \\ \frac{\sigma}{\sqrt{n}}\). This result is known as the Central Limit Theorem, and it is crucial in Statistical Inference. Mathematically:

\( \\ \overline{x} \sim N(\mu, \frac{\sigma}{\sqrt{n}})\) [1]

It is important to remember that this result is valid following the rule of thumb that the sample size, \( \\ n\), must be, at least, greater or equals to 30, that is, \( \\ n \geq 30\), no matter the distribution that follows \( \\ x\) (this result is not important if

Another important concept is that the random variable \( \\ Z\), which is a standardized variable, that is, (roughly speaking) a variable that indicates the distance in standard deviations units from the mean, \( \\ \mu\), of a value in the distribution. In this case, the latter is \( \\ \overline{x}\). We can express this mathematically as follows:

\( \\ Z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\) [2]

This variable \( \\ Z\) follows a standard normal distribution or a normal distribution with \( \\ \mu = 0\) and standard deviation \( \\ \sigma = 1\) or \( \\ Z \sim N(0, 1)\).

With all this information, we can proceed to answer the question.

The probability that we will obtain a sample mean greater than 21

Or calculate \( \\ P(x>21)\).

For doing this, we have:

Well, all we have to do is use [2] to calculate \( \\ P(x>21)\) as follows:

\( \\ Z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\( \\ Z = \frac{21 - 19}{\frac{7}{\sqrt{106}}}\)

\( \\ Z = \frac{2}{\frac{7}{10.29563}}\)

\( \\ Z = \frac{2}{0.67990}\)

\( \\ z = 2.94160 \approx 2.94\)

(We rounded this value to \( \\ z = 2.94\) since standard normal tables have two digits for decimal part of \( z\). Notice we use z lowercase since z = 2.94 is a realization of random variable Z, and also that z is the standardized score for \( \\ \overline{x}\).)

With this value of z = 2.94, we can consult the standard normal table (available in Statistics books or on the Internet), and, specifically for this case, we need to consult the cumulative standard normal table (cumulative probability from \( \\ -\infty\) to the value of z).

Here we have z = 2.94. The entry to consult the table is 2.9 (positive). Then, looking carefully the first row in the table, we need to find the column with value 0.04 (to have z = 2.94). The intersection of these two values "gives us" the cumulative probability for z = 2.94. Then, \( \\ P(z<2.94) = 0.99836\).

This is also the cumulative probability for \( \\ P(\overline{x}<21)\) (as we explained above, z is the standardized value for \( \\ \overline{x}\).)

However, we need to know \( \\ P(\overline{x}>21) = P(z>2.94)\). Since

\( \\ P(z<2.94) + P(z>2.94) = 1\)

Then

\( \\ P(z>2.94) = 1 - P(z<2.94)\)

\( \\ P(z>2.94) = 1 - 0.99836\)

\( \\ P(\overline{x}>21) = P(z>2.94) = 0.00164\)

Therefore, "the probability that we will obtain a sample mean greater than 21" is 0.00164.

The relation between polar and cartesian coordinates is given by:

In this case, we have:

Using the formulas above and the values of x, y and r, we have:

1) sin θ

2) cos θ

3) tan θ

4) csc θ

5) sec θ

6) cot θ

Answer:

9c + 10 (see below)

Step-by-step explanation:

To find how much Chris spent on tickets, you can write an expression to represent the situation:

$9c

You can do this to find how much Michael spent as well:

$10m

To find how much Chris and Michael spent combined, add their two costs:

9c + 10

Answer:

3.5 × 10-³

Step-by-step explanation:

The coordinates of the centroid are the average values of the \(x\)- and \(y\)-coordinates of the points \((x,y)\) that belong to the region. Let \(R\) denote the bounded region. These averages are given by the integral expressions

\(\dfrac{\displaystyle \iint_R x \, dA}{\displaystyle \iint_R dA} \text{ and } \dfrac{\displaystyle \iint_R y \, dA}{\displaystyle \iint_R dA}\)

The denominator is just the area of \(R\), given by

\(\displaystyle \iint_R dA = \int_0^8 \int_{\min(8\sin(2x), 8\cos(2x))}^{\max(8\sin(2x),8\cos(2x))} dy \, dx \\\\ ~~~~~~~~ = \int_0^8 |8\sin(2x) - 8\cos(2x)| \, dx \\\\ ~~~~~~~~ = 8\sqrt2 \int_0^8 \left|\sin\left(2x-\frac\pi4\right)\right| \, dx\)

where we rewrite the integrand using the identities

\(\sin(\alpha + \beta) = \cos(\alpha)\cos(\beta) + \sin(\alpha)\sin(\beta)\)

Now, if

\(8(\cos(2x) - \sin(2x)) = R \sin(2x + \alpha) = R \sin(2x) \cos(\alpha) + R \cos(2x) \sin(\alpha)\)

with \(R>0\), then

\(\begin{cases} R\cos(\alpha) = 8 \\ R\sin(\alpha) = -8 \end{cases} \implies \begin{cases}R^2 = 128 \\ \tan(\alpha) = -1\end{cases} \implies R=8\sqrt2\text{ and } \alpha = -\dfrac\pi4\)

Find where this simpler sine curve crosses the \(x\)-axis.

\(\sin\left(2x - \dfrac\pi4\right) = 0\)

\(2x - \dfrac\pi4 = n\pi\)

\(2x = \dfrac\pi4 + n\pi\)

\(x = \dfrac\pi8 + \dfrac{n\pi}2\)

In the interval [0, 8], this happens a total of 5 times at

\(x \in \left\{\dfrac\pi8, \dfrac{5\pi}8, \dfrac{9\pi}8, \dfrac{13\pi}8, \dfrac{17\pi}8\right\}\)

See the attached plots, which demonstrates the area between the two curves is the same as the area between the simpler sine wave and the \(x\)-axis.

By symmetry, the areas of the middle four regions (the completely filled "lobes") are the same, so the area integral reduces to

\(\displaystyle \iint_R dA \\\\ ~~~~ = 8\sqrt2 \left(-\int_0^{\pi/8} \sin\left(2x-\frac\pi4\right) \, dx + 4 \int_{\pi/8}^{5\pi/8} \sin\left(2x-\frac\pi4\right) \, dx \right. \\\\ ~~~~~~~~~~~~~~~~~~~~ \left. - \int_{17\pi/8}^8 \sin\left(2x-\frac\pi4\right) \, dx\right)\)

The signs of each integral are decided by whether \(\sin\left(2x-\frac\pi4\right)\) lies above or below axis over each interval. These integrals are totally doable, but rather tedious. You should end up with

\(\displaystyle \iint_R dA = 40\sqrt2 - 4 (1 + \cos(16) + \sin(16)) \\\\ ~~~~~~~~ \approx 57.5508\)

Similarly, we compute the slightly more complicated \(x\)-integral to be

\(\displaystyle \iint_R x dA = \int_0^8 \int_{\min(8\sin(2x), 8\cos(2x))}^{\max(8\sin(2x),8\cos(2x))} x \, dy \, dx \\\\ ~~~~~~~~ = 8\sqrt2 \int_0^8 x \left|\sin\left(2x-\frac\pi4\right)\right| \, dx \\\\ ~~~~~~~~ \approx 239.127\)

and the even more complicated \(y\)-integral to be

\(\displaystyle \iint_R y dA = \int_0^8 \int_{\min(8\sin(2x), 8\cos(2x))}^{\max(8\sin(2x),8\cos(2x))} y \, dy \, dx \\\\ ~~~~~~~~ = \frac12 \int_0^8 \left(\max(8\sin(2x),8\cos(2x))^2 - \min(8\sin(2x),8\cos(2x))^2\right) \, dx \\\\ ~~~~~~~~ \approx 11.5886\)

Then the centroid of \(R\) is

\((x,y) = \left(\dfrac{239.127}{57.5508}, \dfrac{11.5886}{57.5508}\right) \approx \boxed{(4.15518, 0.200064)}\)

Answer:

Length of side of square = 8 inch

Step-by-step explanation:

Given:

Length of rectangular wire = 9 inch

Width of rectangular wire = 7 inch

Find:

Length of side of square

Computation:

We know that same wire is used from square

So,

Perimeter of rectangle = Perimeter of square

2[l + b] = 4 x side

2[9 + 7] = 4 x Length of side of square

2[16] = 4 x Length of side of square

32 = 4 x Length of side of square

Length of side of square = 32 / 4

Length of side of square = 8 inch

For 1st year percentage increase is 100%

For 2nd Year percentage increase is 50%

In essence, percentages are fractions with a 100 as the denominator. We place the percent sign (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 of 100 questions correctly on a test (75/100).

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

A percentage is a ratio or fraction where the full value is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his arithmetic test. In ratio form, it is expressed as 30:100 and in fraction form as 30/100.

Population function is

P(x) = 40000 * 1.2x

Population in 2015 , x = 1

P(1) = 40000*1.2 = 48000

Population in 2016 , x = 2

P(2) = 40000*1.2*2 = 96000

Population in 2017 , x = 3

P(3) = 40000*1.2*3 = 144000

So for 1st year percentage increase = (96000-48000)/48000 *100 = 100%

For 2nd Year percentage increase = (144000-96000)/96000 *100 = 50%

Similarly it will reduce at a rate of 0.5.

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Answer:

s = side length

a = area

s^2 = a

plz give brainlyist

Step-by-step explanation

since the area is length times width and the side length of a square is both the width and length. the area of  the square is equal to the side length times its self

Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

Answer:

yes there is two

Step-by-step explanation:

the outlier is the ones that are away from all the others

Answer:

Yes there is

Step-by-step explanation:

There are Many more outliers since the data points are scattered

If you can earn 8 percent on your money, the prize worth to you is: $76,812.50. To calculate the present value of the prize, we need to determine the current worth of receiving $1000 per month for 9 years, given an 8 percent annual interest rate.

This situation can be evaluated using the concept of the present value of an annuity. The present value of an annuity formula is used to find the current value of a series of future cash flows. In this case, the future cash flows are the $1000 monthly payments for 9 years. By applying the formula, which involves discounting each cash flow back to its present value using the interest rate, we find that the present value of the prize is $76,812.50.

This means that if you were to receive $1000 per month for 9 years and could earn an 8 percent return on your money, the equivalent present value of that prize, received upfront, would be $76,812.50.

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The probability is \(\frac{11}{30}\) .

What is the probability?

 Probability is the ability to happen. The subject of this area of mathematics is the occurrence of random events. From 0 to 1 is used to express the value. To forecast how likely occurrences are to occur, Probability has been introduced in mathematics.

F= The probability that the dice land on different numbers.

F=(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5)

F = \(\frac{30}{36}= \frac{5}{6}\)

E= The event that at least one lands on 6.

E=(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)

E= \(\frac{11}{36}\)

What is the probability of E, when given that F has occurred?

P= \(\frac{P(EF)}{P(F)}\) = \(\frac{1-P(EF)}{P(F)}\)

=> P = \(\frac{\frac{11}{36} }{\frac{5}{6} }\) = \(\frac{11}{30}\)

Hence the Probability is \(\frac{11}{30}\) .

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To find the probability of no successes in a binomial experiment with a probability of success of 30%, we need to use the binomial probability formula.

The formula for the probability of k successes in n trials with probability of success p is:

P(X = k) = (nCk) * (p^k) * ((1-p)^(n-k))

In this case, we want to find the probability of no successes (k = 0) in the binomial experiment. The probability of success is 30%, so p = 0.3.

P(X = 0) = (nC0) * (0.3^0) * ((1-0.3)^(n-0))

P(X = 0) = 1 * 1 * (0.7^n)

Since the probability of no successes is the complement of the probability of any successes (1 - P(X > 0)), we have:

P(X = 0) = 1 - P(X > 0)

Therefore,

P(X = 0) = 1 - (1 - 0.7^n)

To calculate the probability of no successes, we need to know the number of trials (n) in the binomial experiment. If you provide the value of n, I can calculate the probability for you.

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Answer:A

Step-by-step explanation:

Answer:

3/7

Step-by-step explanation:

Total spins: 9 + 7 + 5 = 21

Number of times landing on orange: 9

p(orange) = 9/21 = 3/7

Answer: 3/7

Answer:

(-3, 2)

Step-by-step explanation:

Answer: (-3,2) is the Answer.

Step-by-step explanation:

Mark me brainliest please!

To determine which function increases faster, we have to find the ratio = \(\frac{\triangle y}{\triangle x}\).

Rate of Change:

A rate of change describes how an output quantity changes relative to the change in the input quantity. The units on a rate of change are “output units per input units.”

The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

\(\frac{\triangle y}{\triangle x} = \frac{f(x_{2})-f(x_{1}) }{x_{2}-x_{1}}\)

How to determine:

Given the value of a function at different points, calculate the average rate of change of a function for the interval between two values \(x_{1}\) and \(x_{2}\).

Hence the answer is to determine which function increases faster, we have to find the ratio = \(\frac{\triangle y}{\triangle x}\).

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An equation of the tangent line to the curve \(x e^y+y e^x=4\) at the point (0, 4) is \(y=-(4+e^4) x+4\).

A tangent is described as a line that intersects a circle or an ellipse only at one point. If a line touches a curve at P, the point "P" is known as the point of tangency.

Now according to the question;

To obtain the tangent at a given point, we must first obtain the slope at that point by obtaining the differentiation value at that point  \(\left.y^{\prime}\right|_{x=0, y=4}\) as-

Consider the given equation;

\(x e^y+y e^x=4\)

Differentiate both side with respect to x;

\(\begin{aligned}&\frac{d}{d x}\left(x e^y+y e^x\right)=\frac{d}{d x} 4 \\&\frac{d}{d x} x e^y+\frac{d}{d x} y e^x=0\end{aligned}\)

Now apply product rule;

\(\begin{aligned}&e^y \frac{d}{d x} x+x \frac{d}{d x} e^y+e^x \frac{d}{d x} y+y \frac{d}{d x} e^x=0 \\&e^y \frac{d}{d x} x+x \frac{d}{d y} e^y \cdot y^{\prime}+e^x y^{\prime}+y \frac{d}{d x} e^x=0\end{aligned}\)

Applying exponential and power rule;

\(\begin{aligned}&e^y \cdot 1+x e^y \cdot y^{\prime}+e^x y^{\prime}+y e^x=0 \\&\left(x e^y+e^x\right) y^{\prime}=-y e^x-e^y\end{aligned}\)

Solve the value of y'

\(y^{\prime}=\frac{-y e^x-e^y}{x e^y+e^x}\)

Now, find the value of slope m.

\(m=\left.y^{\prime}\right|_{x=0, y=4}\)

\(\frac{-4 \cdot e^0-e^4}{0 e^4+e^0}=-4-e^4\)

Now, using the point-slope formula, obtain the line equation as follows.

\(\begin{aligned}&\left(y-y_1\right)=m\left(x-x_1\right) \\&(y-4)=-(4+e^4) \cdot(x-0) \\&y=-(4+e^4) x+4\end{aligned}\)

Therefore, an equation of the tangent line to the curve is   \(y=-(4+e^4) x+4\).

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Answer:

A = B * H 

Step-by-step explanation:

B is the base, H is the height, and * means multiply