Using the diagram, to what height can the crane raise building material? Round to the nearest foot.
A) 62 ft
B) 75 ft
C) 78 ft
D) 80 ft

Answer:

x = 31

Step-by-step explanation:

AC=BD

3x+7 = 131-x

Subtract 7 from both sides

3x = 124-x

Add x to 3x

4x = 124

Divide by 4

x = 31

Check:

3(31)+7 = 131 - 31

Mulitply 3 times 31 / subtract 131 and 31

93+7 = 100

Add 93 to 7

100 = 100

Answer:

0 degrees

Step-by-step explanation:

when it is hour 12 and 0 minutes, the hour and minute hand will be on top of each other, so therefore it does not form an angle

Answer:

Answer: There is no relationship between hours spent cycling and hours spent playing football. I did flvs and I got this question correct.

Step-by-step explanation:

Answer:

D) There is no relationship between hours spent cycling and hours spent playing football.

Step-by-step explanation:

As we can see that the scatter plot dots are distributed very randomly and we cannot form any relation between both conditions. Rather to easily compare both conditions we need two plots with respect to time. So, we can compare the hours spent in cycling and hours spent in playing football.

So, the correct answer would be - There is no relationship between hours spent cycling and hours spent playing football.

Answer:

The measure of arc AB is [tex]88\°[/tex]

Step-by-step explanation:

we know that

The inscribed angle measures half that of the arc comprising

so

[tex]m<ACB=\frac{1}{2}(arc\ AB)[/tex]

we have

[tex]m<ACB=44\°[/tex]

substitute

[tex]44\°=\frac{1}{2}(arc\ AB)[/tex]

[tex]88\°=arc\ AB[/tex]

rewrite

[tex]arc\ AB=88\°[/tex]

The measure of arc AB is 88°

The inscribed angle measures half that of the arc comprising

so

[tex]m < ACB=(1)/(2)(arc\ AB)[/tex]

we have

[tex]m < ACB=44°[/tex]

substitute

[tex]44\°=(1)/(2)(arc\ AB)[/tex]

[tex]88\°=arc\ AB[/tex]

rewrite

[tex]arc\ AB=88\°[/tex]

Answer:

B

Step-by-step explanation:

Since a quadrilateral has an angle sum of 360 degrees you just add the three angle measures together and subtract them from 360 leaving you with 108.

The angle which is outside is supplementary which means it adds to 180 degrees. All you have to do here is subtract 71 from 180 which gives you 109.

It’s B) x=108,y=109

Es la respuesta

Answer:

Well first you multiple 200 by 30 which equals 6,000 and then divide it by 100 which then leads you to the answer of 60. Hope I helped. :)

Step-by-step explanation:

Answer:

C. 4.3 cm

Step-by-step explanation:

Since it is a right triangle you can use a²+b²=c² to solve this. Then you subtract 2 from the AC to get AD.

Answer: I think its 4.3 if its not then its 4.0

Answer:

[tex]\large\boxed{x=3\ and\ y=2\to(3,\ 2)}[/tex]

Step-by-step explanation:

[tex]\underline{+\left\{\begin{array}{ccc}x+2y=7\\x-2y=-1\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2x=6\qquad\text{ivide both sides by 2}\\.\qquad x=3\\\\\text{Put the value of x to the first equation:}\\\\3+2y=7\qquad\text{subtract 3 from both sides}\\\\2y=4\qquad\text{divide both side by 2}\\\\y=2[/tex]

The solution to the given system of linear equations is (3, 2), which is found by eliminating y and solving for x, then substituting back to find y.

Given the system of equations:

x + 2y = 7
x - 2y = -1

To find the solution to the system, we can add the two equations to eliminate y:

(x + 2y) + (x - 2y) = 7 + (-1)
2x = 6
x = 3

Substituting x = 3 into the first equation:

3 + 2y = 7
2y = 4
y = 2

So, the solution to the system of equations is (3, 2). None of the other provided options, {(-8, -12)} or {(-4, 6)}, match this solution.

Answer:

A

Step-by-step explanation:

An equivalent expression is an expression which is equal to (x-9)(2x^2-6x+3). You can expand or simplify an expression to make an equivalent expression. Apply the distributive property to form a new equivalent expression by multiplying (x-9) separately into the factor in parenthesis.

(x-9)(2x^2-6x+3)  = x(2x^2-6x+3) - 9(2x^2-6x+3)

Answer:

(f/g)(-5) = 5

Step-by-step explanation:

You mean, "determine the value of (f/g)(x) at x = -5."

That would be:

f(x)        2x - 20

------- = ------------   and we now substitute -5 for x:

g(x)         x - 1

                  2(-5) - 20      -30

 (f/g)(-5) = --------------- = -------- = 5

                     -5 -1              -6

Answer:

Step-by-step explanation:

Since n < 30, we will find the t-score and compare that to the t-score of a significance level of 1%.    

Since they are asking if the difference is significant, we will have a two tailed test, with degree of freedom being 22, so our critical values are

t < -2.704 and t > 2.704

Our t-value for this situation is

t = ([µ + 5.8] - µ)/(1.4/√23)

It's µ + 5.8 because the problem told us that their levels are 5.8 mm higher than the average, so it's the average, plus 5.8

Simplify the equation...

t = 5.8/(1.4/√23)

t = 19.868

19.868 > 2.704, the evidence supports that there is significant difference between the sample and the population

There is a significant difference between the sample and the population.

A standard deviation (or σ) indicates how dispersed the data is in relation to the mean.

The t-distribution indicates the standardized distances of sample means to the population mean when the population standard deviation is not known, and the observations come from a normally distributed population.

A t-score is the number of standard deviations away from the mean of the t-distribution.

Here the degree of freedom is 22 and so the critical values are:

t < -2.704 and t > 2.704

∴ The t-value for this situation is

t = ([µ + 5.8] - µ)/(1.4/√23)

⇒ t = 5.8/(1.4/√23)

⇒t = 19.868

So, we can say that there is significant difference between the sample and the population.

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Answer:

Multiply the original points by the fraction or ratio of the dilution needed

Step-by-step explanation:

I'm less confident in this answer, but Scale factor is the ration between two geometric figures, like 1:2 is for every one unit on one figure is two on the other, so to dilute a figure, you multiply the points by 1/2 to make a smaller figure, or by 2 to get a bigger one. Plot the given answers and you have diluted :) Hope this helps!

Answer:

Option a.

-1.144 , 1.144

Step-by-step explanation:

Since we are dealing with trascendental equations, it is best if we solve the problem graphically with the help of a calculator or any plotting tool.

Please, see attached image

We graph both equations and find the intersection between them in the interval from -pi to pi

This will give the solution to the equation

tan(x) = 2* csc(x)

The answer is

x = -1.144

x =  1.144

The question requires solving a trigonometric equation tan x = 2 csc x by using trigonometric identities to express it in terms of sine and cosine and then finding the approximate solutions within the interval -π to π.

The student is asking for an approximate solution for a trigonometric equation within a specified interval. The equation given is tan x = 2 csc x. To solve this trigonometric equation, you need to use trigonometric identities to express both sides of the equation in terms of a single trigonometric function and then find the values of x that satisfy the equation within the given interval.

To start with, we can use the identity csc x = 1/sin x and then rewrite the equation as tan x = 2/sin x. Since tan x = sin x/cos x, we can now express the equation purely in terms of sine and cosine:

sin x/cos x = 2/sin x

Multiplying both sides by sin x cos x, we obtain sin2 x = 2 cos x. From here, we can use numerical methods or graphing techniques to find an approximate solution for x within the interval -π to π.

Answer:

I know a is because he added 0.2 instead of still decreasing since its subtraction in negatives

and b : since -0.2 - -0.3 is -0.5 so neither are correct

The correct steps to take are substitute 24 for C, Multiply the value of C by 9/5 before adding 32.  

The formula for converting celsius to Fahrenheit is expressed as shown below;

(T°C * 9/5) + 32 = T°F

Given the following

T°C = 24°C

Substitute

(24 * 9/5) + 32 = T°F

multiply the value of C by 9/5

43.2 + 32 = T°F

Then add 32

T°F = 74.2°F

Hence the correct steps to take are substitute 24 for C, Multiply the value of C by 9/5 before adding 32.  

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Answer:The correct steps to take are substitute 24 for C, Multiply the value of C by 9/5 before adding 32.  

Step-by-step explanation:

Conversion of celsius to Fahrenheit

The formula for converting celsius to Fahrenheit is expressed as shown below;

(T°C * 9/5) + 32 = T°F

Given the following

T°C = 24°C

Substitute

(24 * 9/5) + 32 = T°F

multiply the value of C by 9/5

43.2 + 32 = T°F

Then add 32

T°F = 74.2°F

Hence the correct steps to take are substitute 24 for C, Multiply the value of C by 9/5 before adding 32.  

Answer:

. B. If the distribution of the sample means is normally​ distributed, and greater than​30, then the population distribution is normally distributed

Using the Central Limit Theorem, it is found that the statement which does not represent a commonly used practice is:

B. If the distribution of the sample means is normally​ distributed, and n greater than​ 30, then the population distribution is normally distributed.

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Answer:

[tex]SinA = \frac{84}{85}[/tex]  and  [tex]CosA=\frac{13}{85}[/tex]

Step-by-step explanation:

The ratios of sine and cos are defined as follows:

[tex]Sin A = \frac{Opposite}{Hypotenuse}[/tex] , and

[tex]CosA = \frac{Adjacent}{Hypotenuse}[/tex]

The hypotenuse is always the side opposite of the 90 degree angle (for the given triangle, the hypotenuse is 85)

Since we are looking at the angle A, the opposite side with respect to A would be the side length of 84. That leaves the side 13 as the adjacent side.

Thus, we can now write:

[tex]Sin A = \frac{Opposite}{Hypotenuse}\\SinA = \frac{84}{85}[/tex]

[tex]CosA = \frac{Adjacent}{Hypotenuse}\\CosA=\frac{13}{85}[/tex]

The correct answer is  the first answer choice.

Let's start with the formula for the area of a triangle

[tex] \frac{1}{2} bh[/tex]

And for the first one, insert the numbers

[tex] \frac{1}{2} 3 \times 6[/tex]

To make this easier, 3×6=18, 1/2 of 18 is 9, so the answer is 9 square feet. There's all you need to complete the rest, good luck .

➷ 25,000 - 2500 = 22500

22500 + 10,000 = 32,500

The correct answer would be option D. $32,500

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

Step-by-step explanation:

I would have to go with D. The 25,000 is what you start with minus the 2,500 she withdrew which would leave her at 22,500. She then receives 10,000 for the business leaving her with 32,500

the answer is 90 because 360/90=4 270/90=3

Answer:

it is c

Step-by-step explanation:

the answer to this question is d

Answer:

5·10 + 5·12

Step-by-step explanation:

The distributive property of multiplication over addition says the factor outside parentheses can be applied to each of the terms inside parentheses:

5(10 + 12) = 5·10 + 5·12

___

Of course, this can be simplified further if you like, to 50+60 = 110. But we already knew the value of the expression is 5·22 = 110.

Use the rule to change the base

[tex]\log_a(b) = \dfrac{\log_c(b)}{\log_c(a)}[/tex]

To express both logarithms in terms of the natural logarithm (for example, any common base would be fine:

[tex]\log_c(x) = \dfrac{\ln(x)}{\ln(c)},\quad \log_d(x) = \dfrac{\ln(x)}{\ln(d)}[/tex]

Since the natural logarithm is an increasing function, we have

[tex]c<d\implies \ln(c)>\ln(d)[/tex]

which implies

[tex]\dfrac{\ln(x)}{\ln(c)}=\log_c(x)<\log_d(x)=\dfrac{\ln(x)}{\ln(d)}[/tex]

Answer:

14

Step-by-step explanation:

To round 14.3 to the nearest one, we round down because the digit to the right of the decimal point is less than 5. Therefore, the answer is 14.

To round 14.3 to the nearest one, we look at the digit to the right of the decimal point, which is 3. Since 3 is less than 5, we round down. Therefore, 14.3 rounded to the nearest one is 14.

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Answer:

1/6

Step-by-step explanation:

When a die is rolled twice the possible outcomes are:

Here the first value represents the first outcome and the second value represents the second outcome.

S = { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3),(2,4), (2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6), ( 4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6, 1), (6, 2), (6,3), (6,4), (6,5), (6,6)}

Total outcomes = n(S) = 36

Let A be the event that the sum of both outcomes is 7.

A = {(1, 6) , (2,5), (3,4) , (4,3), (5,2), (6,1)}

n(A) = 6

So, P(A) = n(A)/n(S)

= 6/36

= 1/6

In this scenario, there are 36 potential outcomes when rolling a die twice. Six of these outcomes would lead to a sum of 7. Therefore, the probability of rolling two numbers whose sum is 7 is 1/6.

When rolling a single six-sided die twice, the sample space consists of 36 outcomes (since each roll can result in one of six possible outcomes, so 6 outcomes for the first roll times 6 outcomes for the second roll gives 36 total). Now, we need to find the probabilities that would result in a sum of 7. These are: 1 and 6, 2 and 5, 3 and 4, 4 and 3, 5 and 2, 6 and 1. These are 6 possible outcomes. Hence, the probability of getting the two numbers whose sum is 7 is 6 out of 36, or 1/6 when simplified.

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The total fabric required to make a tent in the shape of a triangular prism with the given measures is 1162 square feet.

To calculate the amount of fabric required to make a tent in the shape of a triangular prism, we need to calculate the surface area, which is essentially the sum of the areas of all the faces.

The measures provided are presumably the areas of each of the faces of the triangular prism (273 ft^2, 329 ft^2, 294 ft^2, and 266 ft^2). In which case, we simply add these areas together:

273 ft^2 + 329 ft^2 + 294 ft^2 + 266 ft^2 = 1162 ft^2

Therefore, the total fabric required is 1162 square feet.

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To calculate the amount of fabric needed for a triangular prism-shaped tent, find the area of each face and add them together.

To find the amount of fabric needed to make a triangular prism-shaped tent, we need to calculate the surface area of all the faces. A triangular prism has two triangular bases and three rectangular faces. First, find the area of each face: base = 273 ft2, height = 329 ft2, and second base = 294 ft2. Then, calculate the area of the three rectangular faces: length = height of the triangular face = 329 ft2, and the other two lengths are the same as the base or second base.

So, the total fabric needed is the sum of the areas of all the faces. Add the areas of the two triangular faces and the three rectangular faces to find the final answer.

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Total Outcomes = {1,2,3,4,5,5}

Less than 5 = {1,2,3,4}

P(less than 5) = 4/6 = 2/3

Divide total weight by number of treats:

12 1/4 / 28 = 7/16

The answer is C.

Answer:

[tex]\large\boxed{C)\ \dfrac{7}{16}\ of\ an\ ounce}[/tex]

Step-by-step explanation:

Divide the weight by the number of dog biscuits:

[tex]\left(12\dfrac{1}{4}\right):28=\dfrac{12\cdot4+1}{4}:28=\dfrac{49}{4}:28=\dfrac{1}{28\!\!\!\!\!\diagup_4}\cdot\dfrac{49\!\!\!\!\!\diagup^7}{4}=\dfrac{1}{4}\cdot\dfrac{7}{4}=\dfrac{7}{16}[/tex]

Answer:

6/7 of a carton

Step-by-step explanation:

Option 1:

add: 2/7+2/7+2/7 = 6/7

Option 2:

multiply 2/7 * 3/1 = 6/7

The milk he drinks in 3 days should be 6 by 7.

Ken drinks 2/7 of a carton of milk each day.

Here we have to add [tex]2 \div 7[/tex] three times so it gives [tex]6 \div 7[/tex]

Now the milk should be

[tex]= 2\div 7 \times 3\div 1 \\\\= 6\div 7[/tex]

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