The accompanying diagram shows a ramp 30 feet
long leaning against a wall at a construction site.
Wall
If the ramp forms an angle of 32° with the ground,
how high above the ground, to the nearest tenth, is
the top of the ramp?
​

Answer:

h(f(x)) = 2x - 11

Step-by-step explanation:

Answer:

h(f(x)) = 2x - 11 and the next one is f(h(x)) = 2x - 4 or A and B

more information is needed

To determine the total number of possible raffle ticket numbers with two letters followed by three digits, we multiply the number of possibilities for each position (26 for each letter and 10 for each digit): 26 x 26 x 10 x 10 x 10 = 676,000 possible combinations.

To calculate how many raffle ticket numbers are possible with the given format—two letters followed by three digits—we need to consider the total number of options for each position in the sequence. Each letter in the raffle ticket can be one of 26 possible letters (assuming we're using the English alphabet), and each digit can be one of 10 digits (0-9).

For the two letters, the number of possibilities for each letter is 26. Since there are two letters, the total number of possibilities for the letters is 26 times 26. For the three digits, assuming each digit can be any number from 0-9, the number of possibilities for each digit is 10. The total number of possibilities for the digits is 10 times 10 times 10.

Thus, to find the total number of possible raffle ticket numbers, we multiply the possibilities for the letters and the digits together:

Total possibilities = 26 times 26 times 10 times 10 times 10 = 676,000.

Answer:

B

Step-by-step explanation:

Given

y = f(x), then

y = f(x ± a) is a horizontal translation of a units

• If f(x + a) then shift of a units left ←

• If f(x - a) then shift of a units right →

When you transform a function by writing

[tex]f(x)\mapsto f(x+h)[/tex]

You're translating the function horizontally, h units to to the left if h is positive, and h units to the right if h is negative.

So, for example, given the "standard" parabola [tex]f(x)=x^2[/tex]

We have that the child function [tex]f(x+3) = (x+3)^2[/tex] has the same shape, but it's translated 3 units to the left.

[tex]\bf \begin{array}{ccll} feet&seconds\\ \cline{1-2} 4752&1\\ x&0.8 \end{array}\implies \cfrac{4752}{x}=\cfrac{1}{0.8}\implies 3801.6=x\implies \stackrel{\textit{rounded up}}{3802=x}[/tex]

so, we can conclude that since the wave went and came back in 0.8 seconds, it travelled the distance of 3802 feet, however that's the whole trip, we want to know how far the object is, and that'd be only the distance it took on its way forth, namely half the trip, namely 3802/2 = 1901.

Answer:

38 in²

Step-by-step explanation:

The area (A) of a trapezium is calculated using the formula

A = [tex]\frac{1}{2}[/tex] h (a + b)

where a, b are the parallel bases and h the perpendicular height

here a = 12, b = 7 and h = 4, hence

A = 0.5 × 4 × (12 + 7) = 2 × 19 = 38 in²

Answer:

38 in²

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

On solving the given inequality, we get x > 11.81

Given is the following inequality -

81 - 11/5x ≤ 55

We have -

81 - 11/5x ≤ 55

(11/5)x ≥ 81 - 55

(11/5)x ≥ 26

(11/5)x ≥ 26

x ≥ = (26 x 5)/11

x > 11.81

Therefore, on solving the given inequality, we get x > 11.81

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

Answer:

The answer is...

Step-by-step explanation:

Each interior angle measures 108 degrees. All of the angles are congruent. The sum of the measures of the interior angles is 108(5-2) degrees.

The true statements about regular polygons are given below.

Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three internal angles. Interior angles are sometimes defined as "angles confined in the interior area of two parallel lines when they are crossed by a transversal."

Given:

We have a regular polygon.

So, the true statements about polygons:

It has equal length sides.

All its interior angles are equal.

The sum of its exterior angles is 360°.

Therefore, true statements are given above.

To learn more about the interior angles;

brainly.com/question/10638383

#SPJ5

The mean is the average.

Add the number of contacts and divide by the number of people:

112 + 104 + 96 + 54 +98 +120 = 584

584 / 6 = 97.3

The mean = 97.3

Now add the standard deviation to the mean for the higher value and subtract the standard deviation from the mean for the lower value:

97.3 - 21 = 76.3

97.3 +21 = 118.3

The answer would be D.

Answer: $4.69

Step-by-step explanation:

Make equivalent fractions for each fruit.

Apples: 1.62/1 = x/2.5

X = $4.05 for 2.5 pounds of apples

Bananas: 0.48/1 = x/1.3333333333

X = .64 for 1.3333333333 pounds of bananas

Now add the results together to find the total cost.

4.05 + .64 = $4.69

Hi, I hope this helps you out. Have a great day! :)

Answer:

Your answer is false.

A quadrilateral needs to have both opposite sides congruent to be a parallelogram.

Answer:

Step-by-step explanation:

3/20x100

=15

15% of the boxes are damaged.

To find the percentage of damaged boxes, we need to divide the number of damaged boxes by the total number of boxes and then multiply the result by 100 to get the percentage.

Let's perform the calculation step-by-step:

So, 15% of the boxes are damaged.

Answer:

x=5  y=-1

Step-by-step explanation:

7x-2y=37

[2(4x+y=19)]=

8x+2y=38

---------------------

15x/15=75/15

x=5

[4(5)+y=19]

y=-1

Final answer:

The solution to the given system of equations using elimination is x = 5 and y = -1. This was achieved by multiplying the second equation by 2 and then adding both equations to eliminate y.

Explanation:

We are given a system of linear equations and are asked to solve it using the method of elimination. We have the following equations:

1) 7x - 2y = 37

2) 4x + y = 19

To eliminate one of the variables, we can multiply the second equation by 2 to make the coefficient of y the same in both equations (but with opposite signs). After this step, our system looks like:

1) 7x - 2y = 37

2) 8x + 2y = 38

Now, adding the two equations will eliminate y, and we get:

7x + 8x = 37 + 38

15x = 75

x = 5

We can then substitute the value of x into one of the original equations to solve for y:

4x + y = 19

4(5) + y = 19

20 + y = 19

y = -1

So, the solution to the system is x = 5 and y = -1.

Answer:

∠1 = 72°

Step-by-step explanation:

Complementary angles sum to 90°, thus

∠1 + ∠2 = 90, substitute ∠1 = 4∠2 , thus

4∠2 + ∠2 = 90

5∠2 = 90 ( divide both sides by 5 )

∠2 = 18°

Hence ∠1 = 90 - 18 = 72°

Answer: tasha needs at least 252 inches of ribbon

your exact answer should be 252 inches

Step-by-step explanation: multiply the width times height to find the area of a rectangle

Tasha requires 64 inches of ribbon to decorate the outer edge of her bulletin board. To determine this, we use the formula for the perimeter of a rectangle, 2*(length+breadth), substituting the dimensions of the board.

To calculate the amount of ribbon Tasha requires, you need to find the perimeter of the bulletin board. The perimeter of a rectangle (which is the shape of the bulletin board) is calculated by the formula 2*(length+breadth).

In this instance, the length is 18 in, and the width (or breadth) is 14 in. Substituting these values into the formula we get: 2*(18 in + 14 in) = 2*32 in = 64 inches. Thus, Tasha needs 64 inches of ribbon to decorate the entire outer edge of the bulletin board.

https://brainly.com/question/28161250

#SPJ3

Answer:

Step-by-step explanation:

[tex]6x^2-2x^4+4+3x\\\\\text{Look at the power of variables.}\\\text{Arrange the terms in order from the largest exponent to the smallest.}\\\\-2x^4+6x^2+3x+4[/tex]

They need to make sure you will be able to pay the loan back

Hope this helps :)

Lenders verify income before approving loans to assess borrowers' creditworthiness and ensure they have the means to repay. They use income information, credit checks, cosigners, and collateral to mitigate the risks associated with uncertain future income and potential default.

A lender will verify and carefully consider your income before approving you for a loan because income indicates your ability to repay the loan. In a financial capital market, banks assess the creditworthiness of a borrower to manage uncertainty and the risk of default. They require information about income sources, perform credit checks, and might ask for additional security measures such as a cosigner or collateral. Collateral could include property or equipment that the bank has the right to seize if the loan is not repaid. This scrutiny is crucial because lenders face imperfect information and cannot predict with certainty whether the borrower will fulfill their repayment obligations.

Answer:

x = 1

Step-by-step explanation:

Assuming you require to calculate the value of x

Since the triangle is right use Pythagoras' theorem

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

(x + 1)² + (x + 3)² = (2[tex]\sqrt{5}[/tex])² ← expand and simplify left side

x² + 2x + 1 + x² + 6x + 9 = 20

2x² + 8x + 10 = 20 ( subtract 20 from both sides )

2x² + 8x - 10 = 0 ← in standard form

Divide through by 2

x² + 4x - 5 = 0 ← factor the quadratic

(x + 5)(x - 1) = 0

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 1 = 0 ⇒ x = 1

However, x > 0 ⇒ x = 1

Answer:

i think x = 1

Step-by-step explanation:

=======================================================

Explanation:

If you had one coin, then there are 2 outcomes because of the two sides heads or tails, which I'll shorten to H and T respectively.

With two coins, there are 2*2 = 4 outcomes (HH, HT, TH, or TT)

Having 3 coins there are 2*2*2 = 2^3 = 8 outcomes

4 coins and we have 2^4 = 2*2*2*2 = 16 outcomes

and so on

With 9 coins there are 2^9 = 512 different outcomes

Answer:

There are 2 outcomes per flip.

Therefore the answer is 2^9 which equals 512 outcomes.

Step-by-step explanation:

Answer:

Absolute: 39 pounds

Relative: 6.5%

Step-by-step explanation:

To find the absolute difference, we simply have to see by how much pounds the estimation was off.

The real measure was 639 pounds, the estimated weight was 600.

D = 639 - 600 = 39 pounds.

For the percent of error, we divide the absolute difference (39) by the real value (639) and we'll get the % of error.  So,

%D = 39 / 600 = 0.0610, so 6.1%

We don't need to round it to the nearest tenth, since it's already to that precision level.

Answer:

Absolute error = 39 pounds

Percent error = 6.10%

Step-by-step explanation:

We are given that the actual weight of the beam was 639 pounds while its estimated weight was 600 pounds.

We can find the absolute error by subtracting the original weight from the estimated weight.

Absolute error = 639 - 600 = 39 pounds

Next, we will use the following formula to find the percent error.

Percent error = (Estimated value - actual value / actual value) * 100

Percent error = 639 - 600 / 600 * 100 = 6.10%

Answer:

well these are all the possible solutions that make the inequality statement correct.

Step-by-step explanation:

you can recheck by placing the pairs into the equation

hope that helps

Answer:

[tex]\large\boxed{c.\ \triangle CDE\sim\triangle FGH}[/tex]

Step-by-step explanation:

[tex]\text{Calculate the maeasure of the angle}\ E:\\\\180^o-(60^o+53^o)=180^o-113^o=67^o\\\\\angle C\cong\angle F\\\\\angle E\cong\angle H\\\\\angle D\cong\angle G\\\\\text{Therefore:}\\\\\triangle CDE\sim\triangle FGH[/tex]

Answer:  The correct option is

(c) [tex]\triangle CDE\sim \triangle FGH.[/tex]

Step-by-step explanation:  We are given to write a similarity statement for the triangles shown in the figure.

In the given triangles, we have

m∠C = 60°,  m∠D = 53°,  m∠F = 60°  and  m∠H = 67°.

Fist, we have to fin d the measures of angles E and G.

From angle sum property of a triangles, we can write

[tex]m\angle C+m\angle D+m\angle E=180^\circ\\\\\Rightarrow 60^\circ+53^\circ+m\angle E=180^\circ\\\\\Rightarrow 113^\circ+m\angle E=180^\circ\\\\\Rightarrow m\angle E=180^\circ-113^\circ\\\\\Rightarrow m\angle E=67^\circ.[/tex]

Similarly, we have

[tex]m\angle F+m\angle G+m\angle H=180^\circ\\\\\Rightarrow 60^\circ+m\angle G+67^\circ=180^\circ\\\\\Rightarrow 127^\circ+m\angle G=180^\circ\\\\\Rightarrow m\angle G=180^\circ-127^\circ\\\\\Rightarrow m\angle G=53^\circ.[/tex]

So, we get

m∠C  =  m∠F,

m∠D  =  m∠G

and

m∠E  = m∠H.

Therefore, by angle-angle-angle similarity postulate. we get

[tex]\triangle CDE\sim \triangle FGH.[/tex]

Thus, option (c) is CORRECT.

Answer:

So, Correct option is B i.e [tex]5.6^{-2} \times 3.4^{-11}\\[/tex]

Step-by-step explanation:

The expression here contains exponents so, we will use exponent rule.

The exponent rule says that the power of the same bases can be added if two same bases are multiplied i.e.

[tex]x^2 X y^2 X x^2 X y^1 \\can \,\, be \,\, written\,\, as\,\,\\x^{2+2} X y^{2+1}\\x^4 X y^3\\[/tex]

using this rule we can solve our question

[tex]5.6^{-5} \times 3.4^{-7} \times 5.6^3 \times 3.4^{-4}\\5.6^{-5+3} \times 3.4^{-7-4}\\ 5.6^{-2} \times 3.4^{-11}\\[/tex]

So, Correct option is B i.e [tex]5.6^{-2} \times 3.4^{-11}[/tex]

Answer

[tex] B)\: {5.6}^{ - 2} \times {3.4}^{ - 11} [/tex]

step-by-step explanation

For the expression

[tex] {5.6}^{ - 5} \times {3.4}^{ - 7} \times {5.6}^{3} \times {3.4}^{ - 4} [/tex]

we rewrite the expression to get

[tex] {5.6}^{ - 5} \times {5.6}^{3} \times {3.4}^{ - 7} \times {3.4}^{ - 4}[/tex]

One of the laws of indices states that

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

which means that if multiplying expressions of the same bases, repeat one of the bases and add the exponents

This implies that

[tex] {5.6}^{ - 5} \times {5.6}^{3} \times {3.4}^{ - 7} \times {3.4}^{ - 4} [/tex]

[tex]={5.6}^{( - 5 + 3)} \times {3.4}^{ (-7 - 4)}[/tex]

[tex]={5.6}^{-2} \times {3.4}^{-11} [/tex]

Answer:

c

Step-by-step explanation:

i think is right because i got most of the answers correct

5×5×5×5×5=3125

Hope this helped :)

Answer:

w<240 pounds

Step-by-step explanation:

The inequality of weight is w≤250 pounds.

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

A go-cart has a maximum weight limit of 240 pounds.

let the weight is represented by 'w'

We can use inequality sign here as ≤.

Now, in the given situation weight should be less than or equal to 250 pounds.

Hence, the equality is w≤250 pounds.

Learn more about inequality here:

https://brainly.com/question/23575974

#SPJ2

Answer:

[tex]Sin(\alpha)=\frac{2}{3}[/tex]

Step-by-step explanation:

We need a simple identity to solve for sine of an obtuse angle (angle greater than 90 degrees).

We know,

[tex]Sin(180-\alpha)=\alpha[/tex]

So the value of [tex]Sin\alpha[/tex] would depend on the triangle we can make on the left side of the coordinate system shown.

The triangle would be as shown in the attached figure.

This triangle has base length of [tex]\sqrt{5}[/tex] and height of 2. The hypotenuse, r, can be solve using pythagorean theorem:

[tex](\sqrt{5} )^2+(2)^2=r^2\\5+4=r^2\\9=r^2\\r=3[/tex]

We know sin of an angle is "opposite" side over "hypotenuse". The triangle's opposite is "2" and hypotenuse is "3". So we can finally write:

[tex]Sin(\alpha)=\frac{Opposite}{Hypotenuse}=\frac{2}{3}[/tex]

Answer:

slope = [tex]\frac{3}{14}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (5, - 3) and (x₂, y₂ ) = (- 9, - 6)

m = [tex]\frac{-6+3}{-9-5}[/tex] = [tex]\frac{-3}{-14}[/tex] = [tex]\frac{3}{14}[/tex]

Answer:

2/9 of a chance

Step-by-step explanation:

If she only spun the spinner twice and had to land on a 2 and a 3 in order to get a sum or 5.  The possible results of the spinners would be

1 & 1          2 & 1          3 & 1

1 & 2          2 & 2         3 & 2

1 & 3         2 & 3         3 & 3

only two of those possibilities equal 5.  So it would be 2/9 of a chance.

To find the total number of cans collected, when Bob brought 40% to the pantry equaling 160 cans, we set up the equation 0.40 * x = 160 and solve for x to get 400 cans.

The student has asked to calculate the total number of canned goods collected if Bob brought 40% of them to the pantry and that amounted to 160 cans. To find the total, we can set up a proportion where 40% of the total number of cans equals to 160 cans, and then solve for the total.

First, express 40% as a decimal, which is 0.40. Then, let the total number of cans be represented by x. According to the problem, 0.40 times x equals 160 cans.

So the equation is:

0.40 * x = 160

To solve for x, divide both sides of the equation by 0.40:

x = 160 / 0.40

x = 400

Therefore, a total of 400 cans were collected.

It’s 6, wow that question was really worded weird.

Answer:

3/4 pound or less , thinks this is the answord

Step-by-step explanation: