The size of the largest angle in a triangle is 3 times the size of the smallest angle

Answer:

  (9, 7)

Step-by-step explanation:

You want the coordinates of the image of point (9, -7) after it has been reflected across the x-axis.

The image point will be as far above the x-axis as the original point is below the x-axis. The y-coordinate of -7 tells you the point is 7 units below the x-axis. The reflected point will be 7 units above the x-axis, so will have a y-coordinate of +7.

The image coordinates are (9, 7).

__

Additional comment

Reflection across the x-axis changes the sign of the y-coordinate.

Reflection across the y-axis changes the sign of the x-coordinate.

Answer: C and D are the correct answers

Step-by-step explanation:

The reflected and then translated coordinates of the triangle are R'( 3,2), S'(3,5), and T'( 8, 5).

A sort of symmetry known as reflective symmetry occurs when one half of an object mirrors the other half. It also goes by the name "mirror symmetry."

For instance, both the left and right sides of a human face are typically the same. Most butterflies have identical wings on their left and right sides.

The given points of the triangle are R(3,-4), S(3,-7), and T(8,-7).

The reflected points of the triangle will be:-

R(3,-4) = R'( 3, 4)

S(3,-7) = R'(3,7)

T(8,-7) = R(8, 7)

The translated points by 2 units down will be:-

R'( 3, 4) = R''( 3, 2)

R'(3,7) = S''( 3, 5)

R(8, 7) = T''(8,5)

Therefore, the reflected and then translated coordinates of the triangle are R'( 3,2), S'(3,5), and T'( 8, 5).

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Answer:

so the other guy can get brainlyest

Step-by-step explanation:

pls like and rate

Answer:

\(\tt i.\:\: P(both\: same\: color) =\frac{31}{105}\\ \tt ii.\:\: P(one\: white) = \frac{44}{105}\\ \tt iii. \:\:P(both\: different\: color) =\frac{44}{105}\)

Step-by-step explanation:

Note:Without Replacement:

Total no of balls=4+5+6=15 balls

i. Probability that both balls are of the same color:

First, let's calculate the probability of selecting 2 white balls:

\(\tt P(2 \:white \:balls) = \frac{4}{15}* \frac{3}{14}= \frac{12}{210}\)

Next, let's calculate the probability of selecting 2 red balls:

\(\tt P(2\: red \:balls) = \frac{5}{15}* \frac{4}{14} = \frac{20}{210}\)

Finally, let's calculate the probability of selecting 2 black balls:

\(\tt P(2 \:black\: balls) = \frac{6}{15}* \frac{5}{14}= \frac{30}{210}\)

In order to find the probability that both balls are of the same color, we add up the probabilities for each color:

\(\tt P(both \:color) = P(2\: white \:balls) + P(2 \:red \:balls) + P(2 \:black\: balls)\\ = \frac{12}{210} + \frac{20}{210} + \frac{30}{210}\\ = \frac{62}{210}\\ =\frac{31}{105}\)

Therefore, the Probability that both balls are of the same color:\(\bold{\frac{31}{105}}\)

ii. Probability that one ball is white:

First, let's calculate the probability of selecting 1 white ball and 1 non-white ball:

\(\tt P(1 white\: ball) = \frac{4}{15} * \frac{11}{14}= \frac{44}{210}\)

Next, let's calculate the probability of selecting 1 non-white ball and 1 white ball:

\(\tt P(1\: non\: white\: ball) = \frac{11}{15}*\frac{4}{14} = \frac{44}{210}\)

In order to find the probability that one ball is white, we add up the probabilities for each case:

\(\tt P(one\: white) = P(1\: white \:ball) + P(1\: non-white\: ball)\\ =\frac{44}{210}+\frac{44}{210}\\ = \frac{44}{105}\)

iii. Probability that both balls are of different color:

First, let's calculate the probability of selecting 1 white ball and 1 non-white ball:

\(\tt P(1\: white\: ball \: and \:\:1\:non\:white\:ball) = \frac{4}{15} * \frac{11}{14}= \frac{44}{210}\)

Next, let's calculate the probability of selecting 1 non-white ball and 1 white ball:

P(1 non-white and 1 white) = (11/15) * (4/14) = 44/210

\(\tt P(1\: non\: white\: ball\:and\:1\:white\:ball) = \frac{11}{15}*\frac{4}{14} = \frac{44}{210}\)

In order to find the probability that both balls are of different color, we add up the probabilities for each case:

\(\tt P(both\:different\:color) = P(1\: white \:and\: 1\: non-white\: ball ) + P(1\: non-white\: and\:1\: white \:ball)\\ =\frac{44}{210}+\frac{44}{210}\\ = \frac{44}{105}\)

Therefore, the probabilities are:

\(\tt i.\:\: P(both\: same\: color) =\frac{31}{105}\\ \tt ii.\:\: P(one\: white) = \frac{44}{105}\\ \tt iii. \:\:P(both\: different\: color) =\frac{44}{105}\)

Answer:

Yes (you are 75 mi from epicenter). Travel at least 7.91 mi south

Step-by-step explanation:

See the attached image.

The epicenter is the point at the upper right of the drawing.  You are 60 miles west (left) and 45 miles south (down) from the epicenter.  A right triangle is formed--apply the Pythagorean Theorem, (leg)^2 + (leg)^2 = (hypotenuse)^2.

\(x^2=60^2+45^2\\\\x^2=3600+2025\\\\x^2=5625\\\\x=\sqrt{5625}=75\) This is within 80 mi, so you feel the quake.

Now (see image2) you go  y  miles south.  You want the distance between you and the epicenter to be at least 80 mi.  You have another right triangle with legs 60 and y + 45 and hypotenuse 80.

\((y+45)^2+60^2=80^2\\\\(y+45)^2+3600=6400\\\\(y+45)^2=2800\\\\y+45=\sqrt{2800}\\\\y=\sqrt{2800}-45 \approx 7.91 \rm mi\)

Answer:

m∠O = 105°

Step-by-step explanation:

Step 1: Set up equation

x + 40 + 3x = 180

Step 2: Solve

4x + 40 = 180

4x = 140

x = 35

Step 3: Plug in

3(35) = 105°

And we have our answer!

Answer:

C. 105°

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

\(2e)15-4x=10x+45\)

Solve:

\(15-4x=10x+45\\-4x-10x=45-15\\-14x=30\\ \boxed {x=-\dfrac{15}{7}}\)\(3(x+1)=21\)

Check:

\(15-4 \left(-\dfrac{15}{7} \right)=10\left(-\dfrac{15}{7} \right)+45\)

\(15+\dfrac{60}{7} \right)=-\dfrac{150}{7} +45\)

\(\dfrac{210}{7} =30\)

\(30=30\)

\(3a) 3(x+1)=21\)

Solve:

\(3(x+1)=21\\3x+3=21\\3x=18\\x=6\)

\(3b) 2+3(x+1)=6x\)

\(2+3x+3=6x\\5=3x\\\)

\(x=\dfrac{5}{3}\)

\(3c) -2(2x-3)=-2\)

Solve:

\(-2(2x-3)=-2\\-4x+6=-2\\-4x=-8\\x=2\)

Answer:

Ok so here are the simple rules of doing it (very easy) cause I’m not doing it all so . when multiplying a power with The same base keep the base but add the exponents. Dividing, keep the base (if their the same if not then its already simplified same with multiplication) but SUBTRACT the exponents. Also keep the parenthesis if it’s a negative number base.

I’ll do a few.

11) a^10.           11b) 5^4

12) (-2)^2.        

13) 10^2.          13b) s^6

14) -4s^5(t^6) <- [Im not sure of this one)

15) x^3(y^3)

Answer:

18.2

Step-by-step explanation:

divide 91 by 5

x x x x x. x x x x x x x x x x xx. x

If firm issues​ commercial paper with $1000000 face-value and pays EAR of​ 7.4%, then amount the firm will receive is $981500.

To calculate the amount the firm receives from issuing the three-month commercial paper, we need to determine the total interest earned over the three-month period.

The Effective Annual Rate (EAR) of 7.4% indicates the annualized interest rate. Since the commercial paper has 3-month term, we adjust the EAR to account for the shorter period.

To find the quarterly interest rate, we divide the EAR by the number of compounding periods in a year. In this case, since it is a 3-month period, there are 4-compounding periods in a year (quarterly compounding).

Quarterly interest rate = (EAR)/(number of compounding periods)

= 7.4%/4

= 1.85%,

Now, we calculate interest earned on "face-value" of $1,000,000 over 3-months,

Interest earned = (face value) × (quarterly interest rate)

= $1,000,000 × 1.85% = $18,500,

So, amount firm receives from issuing 3-month commercial paper is the face value minus the interest earned:

Amount received = (face value) - (interest earned)

= $1,000,000 - $18,500

= $981,500.

Therefore, the amount that firms receives is $981500.

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Answer:

please mark my answer brainliest

Step-by-step explanation:

can you tell me a subscript n =sin to the power theta +cosec to the power n theta...and a subscript 1 =2...then prove that a subscript n =2...

Answer:

2^(3/7)

Step-by-step explanation:

For these types of questions, what is inside the root is the numerator, and what is on top is the denominator.

3 is in the root, so it is the numerator

7 is outside the root, so it is the denominator

Therefore, The answer is 2^(3/7)

The caramel topping demand curve will not change:

The cost of caramel topping is falling; there will be an increase in demand for caramel topping:

Butterscotch topping costs more money;

There will be less demand for caramel topping:

Ice cream now costs more money.

The quantity of caramel topping demanded would increase if the price of the topping dropped. Consequently, the demand curve for caramel topping would go lower.

Ice cream and caramel toppings are complementary products.

Products that are consumed together are said to be complementary.

The amount of ice cream demanded would drop if the price went up. There would be a drop in the number of caramel toppings needed as a result of the fall in demand.

a decline in the popularity of caramel toppings. With less demand, the demand curve for caramel toppings would move inward.

Butterscotch and caramel ice cream toppings serve as stand-ins.

Products that can be used in place of one another are known as substitute goods.

The quantity demanded for butterscotch topping would decline if the price of butterscotch topping rose, making it more expensive overall. Customers might switch to caramel topping. As a result, demand for caramel topping would rise and the demand curve would move outward.

Demand curve: what is it?

The demand curve is a graphical representation of how the cost of an item or service relates to how much is demanded over a given period of time.

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Answer: The student may overestimate support for a plastic bag ban because the wording of the question may influence adults to support a ban.

Step-by-step explanation:

Inverse distance weighting is a useful tool for estimating values at unsampled locations in geostatistics. Another advantage of inverse distance weighting is that it allows for the incorporation of multiple variables into the estimation process.

Inverse distance weighting is a method used in geostatistics to estimate values at unsampled locations based on values at surrounding sample locations. It works by assigning weights to the sample points based on their proximity to the unsampled point. The closer a sample point is to the unsampled point, the higher its weight. The weights are then used to calculate a weighted average of the sample values, which is used as the estimate for the unsampled location.
The benefit of inverse distance weighting over a simple average is that it takes into account the spatial variability of the data. A simple average treats all sample points equally, regardless of their distance from the unsampled point. This can lead to inaccurate estimates if there is a high degree of spatial variability in the data. In contrast, inverse distance weighting gives more weight to sample points that are closer to the unsampled point, which is likely to provide a more accurate estimate.
Another advantage of inverse distance weighting is that it allows for the incorporation of multiple variables into the estimation process. For example, if there are two variables of interest (e.g., temperature and precipitation), inverse distance weighting can be used to estimate values for both variables simultaneously. This is not possible with a simple average.
Overall, inverse distance weighting is a useful tool for estimating values at unsampled locations in geostatistics. Its ability to account for spatial variability and incorporate multiple variables makes it a powerful technique for analyzing spatial data.

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Given that F is a field and R is a subring of F with unity, we want to prove that R is an integral domain. This means that R has no zero divisors, i.e., if ab = 0 for some non-zero elements a, b in R, then a = 0 or b = 0.

Let's assume that R has a zero divisor, meaning there exist non-zero elements a, b in R such that ab = 0. Since R is a subring of F, both a and b are also elements of F. Since F is a field, every non-zero element in F has a multiplicative inverse.

Therefore, if ab = 0, we can multiply both sides of the equation by the inverse of b to obtain a = 0. This contradicts the assumption that a is non-zero. Hence, R does not have any zero divisors, and it follows that R is an integral domain. This proof holds for any field F and its subring R with unity.

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Answer: m = -1

Step-by-step explanation:

m = slope

The slope is 1/-1 which is just -1.

Hope this helps!

It should be noted that f(25) represents the quantity of items sold when the price is $25. In other words, if the price of the item is $25, then f(25) gives the number of units that customers will buy.

Also, f⁻¹(30) represents the price at which q = 30 units will be sold. In other words, if the number of items sold is 30, then f⁻¹(30) gives the price at which these 30 units will be sold.

This quantity is also known as the inverse demand function, which gives the price as a function of quantity demanded. . f(25) represents the quantity of items that will be sold at a price of $25. This means that if the item is sold at a price of $25, the function f will return the number of items that will be sold.

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Answer: The correct answer would be a=1.

The average number of people per km2​ is 0.0487

From the question, we have the following parameters that can be used in our computation:

Population = 7300000

Total land surface = 1.5 x 10 ^ 8 km squared kilometers

So, we have

Average number of people = Population/Total land surface

Substitute the known values in the above equation, so, we have the following representation

Average number of people = 7300000/(1.5 x 10 ^ 8)

Evaluate

Average number of people = 0.0487

Hence, the average number of people = 0.0487

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The ΔH values associated with the dissolution of lithium chloride that are exothermic involve the release of heat energy. When a substance dissolves in a solvent, it can either release heat (exothermic) or absorb heat (endothermic).

Here are the steps to determine if the dissolution of lithium chloride is exothermic:

1. Look for the chemical equation that represents the dissolution of lithium chloride. In this case, it would be:

LiCl(s) → Li+(aq) + Cl-(aq)

2. Examine the enthalpy change (ΔH) associated with this chemical equation. If the ΔH value is negative, it indicates an exothermic process, meaning that heat is released during the dissolution. If the ΔH value is positive, it indicates an endothermic process, meaning that heat is absorbed during the dissolution.

So, to identify the exothermic ΔH values associated with the dissolution of lithium chloride, you need to find experiments or reliable sources that provide the enthalpy change values for this reaction.

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Answer:

83.6

Step-by-step explanation:

add 15.2 with 68.4

the answer to the equation is therefore 83.6 and don't blame me if I got the wrong answer bc I'm just using this to get a good grade in science and English mostly

Hello!

Answer:

1 quart = 4 cups

7 quarts = 28 cups

1 guest needs 2 cups

12 guests need 24 cups

She has 28 and needs 24, yes there is enough

Hope this helps! Have a day <3

There are 71,536,320 ways to arrange a standard deck of 52 cards so that all cards in a given suit appear contiguously.

There are 4 suits in a standard deck of 52 cards, and we need to arrange all the cards in a given suit contiguously. Once we choose a suit to be arranged in this way, we can treat it as a block of 13 cards that need to be arranged. Therefore, we have reduced the problem to arranging 4 blocks of 13 cards each, where each block represents a suit.

Within each suit, there are 13! ways to arrange the cards. However, once we arrange the cards in one suit, we fix the relative positions of the cards in the other suits. Therefore, we only need to consider the number of ways to arrange the suits themselves.

There are 4! = 24 ways to arrange the 4 suits. For each of these arrangements, there is only one way to arrange the cards within each suit contiguously. Therefore, the total number of ways to arrange the deck of cards so that all cards in a given suit appear contiguously is:

13! x 24 = 71,536,320

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The sequence with the given recursive formula a(1) = 5 and a(n) = a(n-1) - 4 for n >= 2 is an arithmetic sequence. The first five terms of the sequence are 5, 1, -3, -7, -11.

In summary, the first five terms of the sequence are 5, 1, -3, -7, -11, and the sequence is arithmetic.

To explain the answer, let's examine the given recursive formula. The initial term of the sequence is given as a(1) = 5. Then, for each subsequent term, we subtract 4 from the previous term to obtain the next term. This implies that each term is obtained by subtracting 4 from the previous term.

Starting with the initial term a(1) = 5, we can calculate the subsequent terms as follows:

a(2) = a(1) - 4 = 5 - 4 = 1

a(3) = a(2) - 4 = 1 - 4 = -3

a(4) = a(3) - 4 = -3 - 4 = -7

a(5) = a(4) - 4 = -7 - 4 = -11

We can observe that each term is obtained by subtracting 4 from the previous term, indicating a constant difference between consecutive terms. This characteristic of the sequence makes it an arithmetic sequence.

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It should be noted that z^4 will be -32 in rectangular form.

Based on the information, z = r(cos θ + i sin θ), and provided positive integer n, then it is implied that:

z^n = r^n (cos nθ + i sin nθ)

In this instance, we need to solve for z^4 in rectangular form when z = -2 - 2i. Firstly, we must calculate |z| and arg(z):

|z| = √((-2)^2 + (-2)^2) = 2√2

arg(z) = arctan(-2/-2) = π/4

Leveraging De Moivre's theorem, we can effectively deduce the value of z^4 as:

z^4 = (2√2)^4 (cos (4π/4) + i sin (4π/4))

= 32 (cos π + i sin π)

= -32

Concludedly, z^4  resolved in rectangular form is -32.

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The accumulated value for this investment would be $625.74.

The accumulated value is the final amount that an investment or a loan will grow to over a period of time. It is calculated based on the initial investment amount, the interest rate, and the length of time for which the investment is held or the loan is repaid.

To calculate the accumulated value, we can use the formula: A = P(1 + r/n)^(nt), where A is the accumulated value, P is the principal or initial investment amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the time in years.

For example, if an initial investment of $500 is made for a period of 5 years at an annual interest rate of 4.5% compounded quarterly, the accumulated value can be calculated as follows:

n = 4 (since interest is compounded quarterly)

r = 0.045 (since the annual interest rate is 4.5%)

t = 5 (since the investment is for a period of 5 years)

A = 500(1 + 0.045/4)^(4*5)

A = 500(1 + 0.01125)^20

A = 500(1.01125)^20

A = 500(1.251482)

A = $625.74

Therefore, the accumulated value for this investment would be $625.74.

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Answer:

A:40%

B:7.8

Step-by-step explanation:

Using a proportion , you can solve for the bottom side.

13/19.5 = 5.2/x

multiply 19.5 and 5.2 and rewrite the equation

101.4=13x

x=7.8

To find the scale, divide 5.2 by 13

5.2/13=0.4

Double check by dividing 7.8 by 19.5

7.8/19.5=0.4

0.4=40%