Answer:
It's C, I think
Hope it's correct
Answer:
it's C
Step-by-step explanation:
a square because it has four congruent equal sides and four right angles
Find cos B, sinB,tanb
Using right triangle relations, we will get:
tan(B) = 1.05sin(B) = 0.735cos(B) = 0.7How to find the value of the trigonometric equations?
We assume that bot triangles are equivalent, then the angle B will be the same as the angle Z.
Now remember the relations:
tan(θ) = (opposite cathetus)/(adjacent cathetus).sin(θ) = (opposite cathetus)/(hypotenuse)cos(θ) = (adjacent cathetus)/(hypotenuse).If we step on angle B, we have:
opposite cathetus = 29.4adjacent cathetus = 28hypotenuse = 40.6Replacing that, we get:
tan(B) = 29.4/28 = 1.05sin(B) = 29.4/40.6 = 0.735cos(B) = 28/40.6 = 0.7If you want to learn more about trigonometric functions:
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At the start of the day, Megan has the following items for sale:
60 Sandwiches £2.40
40 Baguettes a £2.70
25 Jacket potatoes £3.25
She sells all the jacket potatoes, 65% of the sandwiches and 85% of the
baguettes.
What is the total value of her sales that day?
Answer:
266.65
Step-by-step explanation:
65% of 60 = 39 sandwiches sold
85% of 40 = 34 baguettes sold
all Jacket potatoes sold 3.25 x 25
34 x 2.70
39 x 2.40
add the total and comes to 266.65
Which graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1?
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = 1.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = negative 1.
Mark this and return
The correct answer is Option C. The graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1 is On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, the graph of a hyperbola is shown.
In quadrant 1, one curve opens up and to the right, while in quadrant 3, the other curve opens down and to the left.
The vertical asymptote is at x = -1, and the horizontal asymptote is at y = 0. This hyperbola is symmetrical across both the x and y axes.
The function f(x) = 1/x - 1 has a vertical asymptote at x = 0 because the denominator approaches zero as x approaches zero.
A fraction with a denominator of zero cannot exist.
The horizontal asymptote of this function is y = -1 because as x approaches infinity or negative infinity, f(x) approaches -1.
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Order the angles from least to greatest. V 17.4 18.5 T 20.2 X
Answer:
X > T > V
Step-by-step explanation:
The angle measures are proportional to the side lengths the see and the larger the side length is the bigger angle measure will be.
With this information we can order the angles from least to greatest as follows:
X > T > V
Identify the error(s) and explain the correct answer. 6.5x+3.05x = 38.2 10x = 38.2 10 /10 x = 3.82
Subtract the sum that appears on the same side of the equation as the "x" to isolate the "x" on one side of the algebraic equation. For instance, rewrite the equation "x + 5 = 12" as "x = 12 - 5" and then find "x" in the new equation. The answer is "x = 7"
A linear equation example is what?Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.
How should a linear equation be written?A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the numbers m and b provide the line's slope (m) and the value of y. (b). Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.
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Cual es el perímetro de un rectángulo si tiene 20 de largo y 11 de ancho?
The perimeter of the rectangle is 62 square units.
How to find the perimeter of a rectangle?The perimeter of a rectangle can be calculated using the formula:
P = 2(L + W)
Where:
L is the length of the rectangle
W is the width of the rectangle
We have:
L = 20 units
W = 11 units
Substituting into the formula:
P = 2(20 + 11)
P = 2(31)
P = 62 square units
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Question in English
What is the perimeter of a rectangle if it is 20 long and 11 wide?
if fx and gx are inverse functions of each other
The functions f(x) = (x + 3)/2 and g(x) = 2x - 3 are inverse functions of each other.
The function is the mathematical statement that shows the relationship between one variable and other variable. If one variable is independent variable then other variable is dependent variable.
The functions are
f(x) = (x + 3)/2
g(x) = 2x - 3
The value of f(g(x)) = ((2x-3) + 3) / 2
= (2x - 3 + 3) / 2
= 2x / 2
= x
The value of g(f(x)) = 2( (x+3)/2) - 3
= (2x + 6)/2 - 3
= x + 3 -3
= x
Therefore, f(x) and g(x) are inverse function of each other
I have answered the question in general, as the given question is incomplete
The complete question is:
How do you prove that f(x) and g(x) are inverses of each other?
f(x) = (x + 3)/2
g(x) = 2x - 3
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the sum twice a number and 7, OMG I NEED HELP WITH THIS QUESTION SO I won't FAIL the test grades are due tomorrow
and you can fill in any number where it says number in the problem
The value of the sum of twice a number and 7 is 17.
What is an expression?An expression is used to show the relationship between the variables that are given.
Let the number in this situation be 5. This will be illustrated as:
2n + 7
where n = number = 5
= 2n + 7
= 2(5) + 7
= 10 + 7
= 17
Therefore, the number is 17.
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The ratio of the one leg of
the right triangle to the other
leg of the right triangle must
be 8:7. Determine the
greatest length of one leg of
the right triangle given the
other leg of the right triangle
is 10.5 feet.
The legs of the triangle are 6.91 feet, 7.9 feet, and 10.5 feet.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The ratio of the one leg of the right triangle to the other leg of the right triangle must be 8:7.
Let x be one leg and y be another leg. Then we have
x/y = 8/7
y = 7x/8
Then the greatest length of one leg of the right triangle given the other leg of the right triangle is 10.5 feet will be
10.5² = x² + (7x/8)²
110.25 = x² + 49x²/64
110.25 = 113x²/64
x² = 62.44
x = 7.902
x ≅ 7.9 feet
Then the other leg will be
y = 7.9 x 7 / 8
y = 6.91
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Consider the line y = 7x-1.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Hi, there!
______
\(\begin{tabular}{c|1} \boldsymbol{Things \ to \ Consider} \\\cline{1-3} \end{tabular}\)
How are the slopes of parallel lines related to each other?How are the slopes of perpendicular lines related to each other?(1)
- The slopes of parallel lines are identical.
{The line \(\sf{y=7x-1}\) has a slope of 7}
Thus,
{The slope of the line that is parallel to the aforementioned line (whatever its equation happens to be) is \(\sf{7}\).}
(2)
- The slopes of perpendicular lines are negative inverses of each other.
The negative inverse of 7 is
\(-\dfrac{1}{7}\).
Therefore,
\(\textsc{Answers:\begin{cases} \bf{7} \\ \bf{-\dfrac{1}{7}} \end{cases}}\)
Hope the answer - and explanation - made sense,
happy studying!! \(\tiny\boldsymbol{Frozen \ melody}\)
The radius of a circle is 20 in. Find its circumference in terms of π
Answer:
40π inches
Step-by-step explanation:
What is the formula for the circumference of a circle?
The formula for the circumference of a circle is:
C = 2πr(where C is the circumference and r is the radius)
If the radius of the circle is 20 inches, then its circumference in terms of π would be:
C = 2π × 20 = 40π inchesTherefore, the circumference of a circle when the radius is 20in is 40π inches.
Answer:
C = 40π
Step-by-step explanation:
To calculate the circumference of a circle, we will use the formula
C = 2πr
And we're asked to find C in terms of pi.
So all I need to do is plug in 20 for the radius, and then multiply.
I plug in 20 for the radius, r: C = 2π × 20
Multiply: C = 40π
Therefore, C = 40π.
Simplify 4(3^2y^4).^3 / (2x^3y5)^4
Answer:
729/4x^12y^8
Step-by-step explanation:
Cancel out exponents and simplify.
What is the measure of c?
Answer:
45 degrees
Step-by-step explanation:
Consider the function f (same as in the previous problem) defined on the interval [0, 4) as follows, F(x) = { 2/2 x. x € [0,2]. 2, x € [2, 4]Find the coefficients Cn of the eigenfunction expansion of function ff(x) = Σ[infinity], n=1 cnyn(x), where y... for n = 1,2,3,... are the unit eigenfunctions of the Regular Sturm-Liouville system - y^n = ꟾλy, y’(O) = 0, y(4) = 0Note: Label your eigenfunctions so the eigenfunction for the lowest eigenvalue corresponds ton = 1. Therefore, use 2n – 1 instead of 2n +1.C= ___
Coefficient Cn is determined by Cn = 1/2 ∫[0,2] (x+2)yn(x) dx
To find the coefficients Cn of the eigenfunction expansion of a function f(x), f(x) must be expanded with the eigenfunction yn(x). The expansion of f(x) with respect to the eigenfunction yn(x) is given by
f(x) = Σ[∞], n=1 cnyn(x)
To find the coefficient cn, we need to compute the dot product of f(x) and yn(x).
cn = (f,yn) = ∫[0,4]f(x)yn(x)dx
Since the eigenfunctions yn(x) are orthonormal, the scalar product is given by
cn = ∫[0,4]f(x)yn(x)dx = ∫[0,2]f(x)yn(x)dx + ∫[2,4]f(x)yn(x)dx
Since f(x) = 2/2 x for x in [0,2] and f(x) = 2 for x in [2,4], compute the coefficient cn as I can do it.
cn = ∫[0,2](2/2x)yn(x)dx + ∫[2,4](2)yn(x)dx
= ∫[0,2]xyn(x)dx + ∫[2,4]2yn(x)dx
= 1/2 ∫[0,2] (xyn(x) + 2yn(x)) dx
= 1/2 ∫[0,2] (x+2)yn(x) dx
Therefore, the coefficient Cn is given by
Cn = 1/2 ∫[0,2] (x+2)yn(x) dx
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A random sample of 28 fields of spring wheat has a mean yield of 44.7 bushels per acre and standard deviation of 6.96 bushels per acre. Determine the 95% confidence interval for the true mean yield. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places
Answer:
\(44.7-2.052\frac{6.96}{\sqrt{28}}=42.001\)
\(44.7+2.052\frac{6.96}{\sqrt{28}}=47.399\)
And the confidence interval would be between 42.001 and 47.399
Step-by-step explanation:
Information given
\(\bar X=44.7\) represent the sample mean for the sample
\(\mu\) population mean
s=6.96 represent the sample standard deviation
n=28 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
\(\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}\) (1)
The degrees of freedom are given by:
\(df=n-1=28-1=27\)
The Confidence interval is 0.95 or 95%, the significance is \(\alpha=0.05\) and \(\alpha/2 =0.025\),the critical value for this case would be \(t_{\alpha/2}=2.052\)
And replacing we got:
\(44.7-2.052\frac{6.96}{\sqrt{28}}=42.001\)
\(44.7+2.052\frac{6.96}{\sqrt{28}}=47.399\)
And the confidence interval would be between 42.001 and 47.399
In the diagram below, the line of sight from the park ranger station, P, to the lifeguard chair, L, on the beach of a lake is perpendicular to the path joining the campground, C, & the first aid station, F. The campground is 0.35 mile from the lifeguard chair. The straight paths from both the campground and first aid station to the park ranger station are perpendicular.
If the path from the park ranger station to the campground is 0.65 mile, determine and state, to the nearest
hundredth of a mile,
a. Find the length of PL
Whwn the line of sight from the park ranger station, P, to the lifeguard chair, L, the length of PL is 0.76 miles.
How to calculate the valueIt should be noted that since the line of sight from the park ranger station, P, to the lifeguard chair, L, on the beach of a lake is perpendicular to the path joining the campground, C, and the first aid station, F, then the path from the park ranger station to the lifeguard chair is the hypotenuse of a right triangle with legs of 0.35 miles and 0.65 miles.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. Therefore, the length of PL is equal to:
= ✓(0.35² + 0.65²)
= 0.76 miles.
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Solve the system of equation using elimination
Answer:
To Solve a System of Equations by Elimination
Write both equations in standard form. ...
Make the coefficients of one variable opposites. ...
Add the equations resulting from Step 2 to eliminate one variable.
Solve for the remaining variable.
Substitute the solution from Step 4 into one of the original equations.
here! ( happy hoildays!)
In a sample of 560 adults, 336 had children. Construct a 95% confidence interval for the true population proportion of adults with children.
Give your answers as decimals, to three places
< p <
What is the expected value of �?
The confidence interval is 0.559 < p < 0.641 and expected value is 0.600
Confidence IntervalTo construct a confidence interval for the true population proportion, we can use the formula:
p ± Z * √((p × (1 - p)) / n)
Where:
p = sample proportion (336/560)
Z = critical value for the desired confidence level
95% confidence = Z-value of approximately 1.96
n = 560
Let's calculate the confidence interval:
p = 336/560 ≈ 0.600
Z ≈ 1.96 (for a 95% confidence level)
n = 560
Plugging these values into the formula:
p ± Z × √((p × (1 - p)) / n)
0.600 ± 1.96 × √((0.600 × (1 - 0.600)) / 560)
0.600 ± 1.96 × √((0.240) / 560)
0.600 ± 1.96 × √(0.0004285714)
0.600 ± 1.96 × 0.020709611
0.600 ± 0.040564459
The confidence interval is:
0.559 < p < 0.641
Therefore, the 95% confidence interval for the true population proportion of adults with children is 0.559 < p < 0.641.
The expected valueFor proportions, the expected value is simply the sample proportion, which is approximately 0.600.
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Which of the following best represents the average rate at which the human hair grows?
Answer:
1/2 inch per month
Step-by-step explanation:
The average rate hair grows is about half an inch per month which is 6 inches per year.
Find value of b and A
Answer:
Hi
Step-by-step explanation:
Please paste your question so I can solve it
Thanks
Picture included!!! Please help! Suppose a = 10 and b = 24. Give the value of each of the following. Give answers as integers or rounded to 2 decimal places as appropriate.
Answer:
A = 22.62°
B = 67.38°
c = 26
Step-by-step explanation:
\(a^2+b^2=c^2\\10^2+24^2=c^2\\100+576=c^2\\676=c^2\\26=c\)
\(\sin A=\frac{\text{Opposite}}{\text{Hypotenuse}}=\frac{10}{26}\\\\A=\sin^{-1}(\frac{10}{26})\\\\A\approx22.62^\circ\)<-- You can also use other trig ratios
\(B=180^\circ-(90^\circ+22.62^\circ)=180^\circ-112.62^\circ=67.38^\circ\)
There's no specific order in how to solve for A and B, so there may be more than one way to approach these solutions.
An engineer traveled 140 mi by car and then an additional 750 mi by plane. The rate of the plane was three times the rate of the car. The total trip took 6 h. Find the rate of the car.
The rate of car is 35 mph.
Given that engineer traveled 140 mi by car and then an additional 750 mi by plane. The rate of the plane was three times the rate of the car.
Let c be the rate of wind.
215 + c = rate of plane with wind
215 - c = rate of plane against wind
Therefore, the travel time =distance/rate
⇒ 750/(215+c) = 540/(215-c)
Cross multiplying we get,
540(215+c) = 750(215-c)
116100+540c = 161250-750c
1290c = 45150
c=35
Hence, the rate of car is 35 mph.
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Which of the following expressions has a coefficient of 6 and a constant of 9?
6+9x
9+6
6x+9
9-6
Coefficients are numbers that multiply a variable.
The expression is (c) 6x + 9
The required parameters are:
\(\mathbf{Coefficient = 6}\)
\(\mathbf{Constant = 9}\)
Let the variable be x.
So, the expression with a coefficient and a constant term is:
\(\mathbf{Coefficient \times x + Constant}\)
This gives
\(\mathbf{6 \times x + 9}\)
\(\mathbf{6x + 9}\)
Hence, the expression is (c) \(\mathbf{6x + 9}\)
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Carlos works at an electronics store selling computer equipment. He can earn a bonus if he sells
$10,000 worth of computer equipment this month. So far this month, he has sold $4000 worth of
computer equipment. He hopes to sell additional laptop computers for $800 each to reach his goal.
The function f(x) = 800x + 4000 represents Carlos's total sales as a function of the number of laptop
computers he sells.
Answer:
lol i hope this helps:
Step-by-step explanation:
:3 (look at the photo!!!)
pls help me anyone PLSSSSS with the whole procedure pls help me pls
Answer:
I don't think I know hun.... I would had really heped you if I know...swaay..
The Cost Saver Grocery Club sells sheet cakes. Each 1/8 sheet of cake requires 0.65 teaspoon of baking soda.
How much baking soda is needed for a full sheet cake? Show your work
The amount of baking soda needed for a full sheet cake is 5.20 teaspoons.
How many baking soda is needed?
A fraction is a non-integer that is made up of a numerator and a denominator that is separated by a horizontal line. The numerator is the number above the horizontal line and the denominator is the number below the horizontal line. An example of a fraction is 1/8.
In order to determine how much baking soda is needed for a full sheet cake, multiply the amount that is needed for 1/8 of the sheet cake by 8. Multiplication is the mathematical operation that is used to determine the product of two or more numbers.
Baking soda needed for a full sheet cake = 8 x 0.65 = 5.2 tablespoons
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what is the value of x over 20 = 5 over 8
Answer:
x = 12.5
Step-by-step explanation:
Whats the height of the rectangular prism
Answer:
length l = 32.25 m
width w = 8223.75 m
height h = 12.5 m
diagonal d = 8223.82273 m
total surface area Stot = 736831.875 m2
lateral surface area Slat = 206400 m2
top surface area Stop = 265215.938 m2
bottom surface area Sbot = 265215.938 m2
volume V = 3315199.22 m3
Step-by-step explanation:
Sylvia has been saving for a down payment for the purchase of a condominium for 10 years. Monthly deposits of $375 are made into an annuity that earns 4.25% annual interest, compounded monthly. According to account documents, after these 10 years, there is a balance of $55,952.72 in the account. How much interest has the account earned? Round your answer to the nearest cent.
Answer:
The answer is = $10952.72
Step-by-step explanation:
Solution
Time (T) = 10 years
Monthly deposit = $375
Rate if interest = 4.25%
= 0.0425
Compounded monthly
After 10 years the balance is = $55952.72
So,
Deposit in account in 10 years
= 375×( 10×12 )
= $45000
So,
Interest has account earn
= $ 55952.72 - $45000
= $ 10952.72
MARK BRAINLIEST
Using historical records, the personnel manager of a plant has determined the probability of XX, the number of employees absent per day. It isX 0 1 2 3 4 5 6 7P(X) 0.0046 0.0248 0.3098 0.3399 0.219 0.0798 0.019 0.0031Find the following probabilities.A. P(2≤X≤5)P(2≤X≤5)Probability =B. P(X>5)P(X>5)Probability =C. P(X<4)P(X<4)Probability =
The probability in each case is:
A. P(2≤X≤5) = 0.5945 (0.3098 + 0.3399 + 0.219) B. P(X>5) = 0.019 (0.0798 + 0.019) C. P(X<4) = 0.3614 (0.0046 + 0.0248 + 0.3098 + 0.3399)The probabilities provided are the probabilities of each value of X. For example,
P(X=0) is 0.0046, which means that there is a 0.0046 probability that exactly 0 employees will be absent per day.Similarly,
P(X=1) is 0.0248, which means that there is a 0.0248 probability that exactly 1 employee will be absent per day. P(X=2) is 0.3098, which means that there is a 0.3098 probability that exactly 2 employees will be absent per day, and so on.When finding probabilities for a range of X values, you need to add up the individual probabilities of all the values in the range. For example, if you are looking for
P(2≤X≤5), then you need to add the individual probabilities for X = 2, 3, 4, and 5, which is 0.3098 + 0.3399 + 0.219 + 0.0798 = 0.5945. Similarly, if you are looking for P(X>5), then you need to add the individual probabilities for X = 6 and 7, which is 0.019 + 0.0031 = 0.0221. Finally, if you are looking for P(X<4), then you need to add the individual probabilities for X = 0, 1, 2, and 3, which is 0.0046 + 0.0248 + 0.3098 + 0.3399 = 0.3614.Learn more about probabilities:
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