3 1

-- + -- =

4 8


Pls answer quickly

Answer:

It would be answer choice D

The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: The measure of the frame is 8.5 inches and 11 inches

a) if the frame is 4 papers long then we  have the length of the frame as

11×4=44 inches (since he lays the paper along the edge of frame)

We know 1 inch= 0.0833 foot

Thus      44 inches= 3.66667 foot

b) Again if he lays the paper along the short edge than the width of the frame is 3×8.5=25.5 inches

∴25.5 inches= 2.125 feet

Hence, The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.

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right triangle

Hope this helps! :)

The quadratic function that models the vertical motion is h(t) = -16t² + 96t + 77

The maximum height is 221 ft

From the question, we are to write a quadratic function to model the vertical motion

h(t) = -16t² + v₀t + h₀

From the given information,

Initial velocity is 96 ft/s

That is, v₀ = 96 ft/s

and

Initial height is 77 ft

That is, h₀ = 77 ft

Thus,

The function becomes

h(t) = -16t² + 96t + 77

To determine the maximum height, we will compare the equation to the general form of a quadratic function

y = ax² + bx + c

t = -b/2a

Where t is the time taken to reach maximum height

By comparing with h(t) = -16t² + 96t + 77

a = -16 and b 96

Thus,

t = -96 / (2 × -16)

t = -96 / -32

t = 3 seconds

Now, we will determine the height at 3 seconds

h(t) = -16t² + 96t + 77

h(3) = -16(3)² + 96(3) + 77

h(3) = -16 × 9 + 288 + 77

h(3) = -144 + 288 + 77

h(3) = 221 ft

Hence, the maximum height is 221 ft

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y=4x+17

Step 1

2 equations of lines are parallel if the slope is the same, so

a) find the slope of the graphed line

the slope of a line can by calculated by using

so

pick up 2 points from the the line and let

replace and evaluate

hence, the slope of the line is 4

Step 2

now, using the slope and a point we can find the equation of the line

use the point-slope formula, it says

so

a)let

b) now ,replace and solve for y

so, the answer is

y=4x+17

I

If ∠K and ∠L are complementary, then:

m∠K + m∠L = 90°

Substituting with m∠K = 4x and m∠L = x - 5, we get:

4x + (x - 5) = 90

(4x + x) - 5 = 90

5x = 90 + 5

x = 95/5

x = 19

And the measures of the angles are:

m∠K = 4*19 = 76°

m∠L = 19 - 5 = 14°

The approximate area of the mulch around the merry-go-round is 126.228 feet².

Diameter of the merry go round = 10.4 feet

Radius is half of the diameter.

Radius of the merry go round = 10.4/2 = 5.2 feet

Before the piece can be installed, a solid circular pad of mulch must be put down which extends 3 feet beyond the edge of the merry-go-round.

Radius of the merry go round with mulch = 5.2 + 3 = 8.2 feet

Total area of the merry go round with the mulch is,

Area = π (8.2)² = 67.24π feet²

Area of the merry go round = π (5.2)² = 27.04π feet²

Area of the mulch = 67.24π feet² - 27.04π feet² = 40.2π = 126.228 feet²

Hence the required area is 126.228 feet².

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Answer:

x = 58.03°

Step-by-step explanation:

Given:

Solve for x:

1. \(x=cos^{-1}(\frac{9}{17})=58.03\)

Answer:

So, the measure of angle x is equal to 58.03.

Answer:

A, 1:2 ratio

Explanation:

Since 1 is half of 2, and the problem states that RSTUV is half of JKLMN, A is the correct ratio.

Answer:

c

Step-by-step explanation:

The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

Answer:

The answer you're looking for is 40%

Step-by-step explanation:

If you divide 12(numerator) by 30(denominator), you get 0.4.
After that, if you want to convert the decimal to a percent you always have to multiply by 100.

\(\frac{12}{30} =0.4=0.4 x 100=40%\)

I hope this was helpful!

Answer:

x>-2

Step-by-step explanation:

Hi there!

We are given the inequality 7+7(x+4)>21, and we want to solve it

Solving an inequality is a lot like solving an equation; we want to isolate x on one side by itself.

So to start, we'll preform the distributive property on 7(x+4) (multiply x by 7, then multiply 4 by 7 and add those two together).

7+7x+28>21

Now combine like terms.

7x+35>21

Subtract 35 from both sides

7x>-14

Divide both sides by 7

x>-2

Hope this helps!

Answer:

It’s C

And I think is c

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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The solution of the expression, \(x^{\frac{9}{7} }\) is \(\sqrt[7]{x^{9} }\).

An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division etc.

Therefore, let's rewrite the expression to it's equivalent expression.

An equivalent expression is an expression that has the same value or worth as another expression, but does not look the same.

Therefore, using indices rule

\(x^{\frac{9}{7} }\) = \(\sqrt[7]{x^{9} }\)

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Answer:

the percentile of 12.7 Mbps is 93

Step-by-step explanation:

To find the percentile corresponding to the data speed 12.7 Mbps, we need to calculate the percentage of data speeds that are less than or equal to 12.7 Mbps.

There are a total of 43 data speeds in the given list. Out of these, there are 40 data speeds that are less than or equal to 12.7 Mbps. Therefore, the percentile of 12.7 Mbps is:

Percentile = (Number of data speeds ≤ 12.7 Mbps / Total number of data speeds) x 100

= (40/43) x 100

= 93.02 (rounded to the nearest whole number)

The probability that both players show rock in the first round is 1/9 or 0.1111 (rounded to four decimal places).

In rock, paper, scissors there are three possible outcomes for each player: rock, paper, or scissors. Assuming both players choose randomly and independently of each other, each player has a 1/3 chance of showing rock in the first round.

To find the probability that both players show rock in the first round, we can use the multiplication rule of probability for independent events. The multiplication rule states that the probability of the intersection of two independent events is the product of their probabilities.

Therefore, the probability that both players show rock in the first round can be calculated as follows:

P(both show rock) = P(player 1 shows rock) x P(player 2 shows rock) P(both show rock) = 1/3 x 1/3 P(both show rock) = 1/9

So the probability that both players show rock in the first round is 1/9 or approximately 0.111.

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As a result, Aisha needs to purchase 5 gallons of paint to paint the entire space.

How so many feet would be 1 square feet?

Area is measured in square feet. It is defined as the area enclosed by a square with one-foot sides. To calculate area, multiply length by width. Hence, a space that is one foot long with one foot wide is considered to be one square foot.

The entire area of four walls must first be determined. Because each of the two walls is 10 feet wide and 10 feet tall, it has a surface of:

\(10 feet × 10 feet = 100 square feet\)

Other two walls are each 15 feet broad and 10 feet tall, giving each of them an area of:

10 feet × 15 feet = 150 square feet

We add the individual wall areas together to determine the combined area of any and all four walls:

100 square feet + 100 square feet + 150 square feet + 150 square feet = 500 square feet

Now we need to calculate how many ½ of paint Aisha will use to cover this space. Since we are aware that a half-gallon will cover a wall measuring 55 square feet, we may establish a ratio:

1/2 gallon: 55 square feet = X gallons: 500 square feet

With this ratio simplified, we may cross-multiply to obtain:

\(X = (1/2 gallon) × (500 square feet / 55 square feet) = 4.55 gallons\)

Given that buckets are only 1 gallon, she needs to purchase 5 buckets in total.

Aisha must therefore purchase 5 gallons of paint for paint the entire space.

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Answer:

Point T,R,P not seen how I don't understand your question.

Answer:

no cule bro

Step-by-step explanation:

Answer:

15p4q3

Step-by-step explanation:

look up the fomulas and plug stuff in

Answer:

4.9 in

Step-by-step explanation:

6/11 = x/9

6/11 times 9 = x

x = 4.9

Answer:

The practical domain of function is , Roscoe can ride his bike only from 10 miles to 30 miles.

Domain of function is defined as the set of input values for which the function is defined i.e.  the set of its possible inputs,

The amount of time it takes for Roscoe to ride his bike m miles is represented by a function.

Where m represent, number of miles he can ride.

Above function is defined for every value of m . But in question it is mention that Roscoe rides his bike at least 10 miles but not more than 30 miles.

Therefore, Domain of function is from 10 miles to 30 miles

Step-by-step explanation:

Answer:

\(\textsf{1.(a)} \quad x^2-14x+\boxed{49}=\left(x-\boxed{7}\right)^2\)

\(\textsf{1.(b)} \quad 9x^2 + 30x +\boxed{25}= \left(3x +\boxed{5}\right)^2\)

\(\begin{aligned}\textsf{2.(a)}\quad3x^2-24x+48&=3\left(x^2-\boxed{8}\:x+\boxed{16}\right)\\&=3\left(x-\boxed{4}\right)^2\end{aligned}\)

\(\begin{aligned}\textsf{2.(b)}\quad \dfrac{1}{2}x^2+8x+32&=\dfrac{1}{2}\left(x^2+\boxed{16}\:x+\boxed{64}\right)\\&=\dfrac{1}{2}\left(x+\boxed{8}\right)^2\end{aligned}\)

Step-by-step explanation:

(a) When completing the square for a quadratic equation in the form ax² + bx + c where the leading coefficient is one, we need to add the square of half the coefficient of the x-term:

\(x^2-14x+\left(\dfrac{-14}{2}\right)^2\)

\(x^2-14x+\left(-7\right)^2\)

\(x^2-14x+49\)

We have now created a perfect square trinomial in the form a² - 2ab + b². To factor a perfect square trinomial, use the following formula:

\(\boxed{a^2 -2ab + b^2 = (a -b)^2}\)

Therefore:

\(a^2=x^2 \implies a=1\)

\(b^2=49=7^2\implies b = 7\)

Therefore, the perfect square trinomial rewritten as a binomial squared is:

\(x^2-14x+\boxed{49}=\left(x-\boxed{7}\right)^2\)

(b) When completing the square for a quadratic equation where the leading coefficient is not one, we need to add the square of the coefficient of the x-term once it is halved and divided by the leading coefficient, and then multiply it by the leading coefficient:

\(9x^2 + 30x +9\left(\dfrac{30}{2 \cdot 9}\right)^2\)

\(9x^2 + 30x +9\left(\dfrac{5}{3}\right)^2\)

\(9x^2 + 30x +9 \cdot \dfrac{25}{9}\)

\(9x^2 + 30x +25\)

We have now created a perfect square trinomial in the form a² + 2ab + b². To factor a perfect square trinomial, use the following formula:

\(\boxed{a^2 +2ab + b^2 = (a +b)^2}\)

Therefore:

\(a^2=9x^2 = (3x)^2 \implies a = 3x\)

\(b^2=25 = 5^2 \implies b = 5\)

Therefore, the perfect square trinomial rewritten as a binomial squared is:

\(9x^2 + 30x +\boxed{25}= \left(3x +\boxed{5}\right)^2\)

\(\hrulefill\)

(a) Factor out the leading coefficient 3 from the given expression:

\(3x^2-24x+48=3\left(x^2-\boxed{8}\:x+\boxed{16}\right)\)

We have now created a perfect square trinomial in the form a² - 2ab + b² inside the parentheses. To factor a perfect square trinomial, use the following formula:

\(\boxed{a^2 -2ab + b^2 = (a -b)^2}\)

Factor the perfect square trinomial inside the parentheses:

                        \(=3\left(x-\boxed{4}\right)^2\)

(a) Factor out the leading coefficient 1/2 from the given expression:

\(\dfrac{1}{2}x^2+8x+32=\dfrac{1}{2}\left(x^2+\boxed{16}\:x+\boxed{64}\right)\)

We have now created a perfect square trinomial in the form a² + 2ab + b² inside the parentheses. To factor a perfect square trinomial, use the following formula:

\(\boxed{a^2+2ab + b^2 = (a +b)^2}\)

Factor the perfect square trinomial inside the parentheses:

                        \(=\dfrac{1}{2}\left(x+\boxed{8}\right)^2\)

Step-by-step explanation:

Since ABCD is a rectangle

⇒ AB = CD and BC = AD

x + y = 30 …………….. (i)

x – y = 14 ……………. (ii)

(i) + (ii) ⇒ 2x = 44

⇒ x = 22

Plug in x = 22 in (i)

⇒ 22 + y = 30

⇒ y = 8