Find the sum of measures of the interior angles of the given figure

Answer:

A

Step-by-step explanation:

Took the test

There is a need for 58.5 pounds of turkey for 36 people.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

The proper ratio of turkey to people is 12 pounds of turkey for every 8 people.

Let the number of pounds would be x for 36 people

According to the given situation, we can write the ratio would be as:

12 pounds of turkey : 8 people = x pounds of turkey : 36 people

⇒ 12 / 8 = x / 36

Apply the cross-multiplication operation,

⇒ 8x = 13 × 36

Apply the multiplication operation,

⇒ 8x = 468

⇒ x = 468/8

Apply the division operation,

⇒ x = 58.5

Therefore, there is a need for 58.5 pounds of turkey for 36 people.

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Answer:

Length=62 feet

Step-by-step explanation:

L x W =area   area= 868    L=6W-22

868=W x (6W-22)

868=6W^2-22W

reorder equation

6W^2-22W-868=0

Factor

(3W-42)(2W+20.7)=0

3W=42

W=14, then L=6(14)-22=62

Check:

62x14=868

The length of the rectangle is 62 feet.

Given,

A rectangle has a length of 22 feet less than 6 times its width.

The area of the rectangle is 868 square feet.

We need to find the length of the rectangle.

It is given by:

A = Length x width

We have,

ax² + bx + c

a x c = p x q

The sum of p and q must be equal to b.

Find the length of the rectangle.

L = 6W - 22 ______(1)

Find the width of the rectangle.

Width = W ______(2)

Find the area of the rectangle.

A = L x W

868 square feet = L x W

From (1) and (2)

868 = (6W -22) x W

868 = 6W² - 22W

6W² - 22W - 868 = 0

Solve for W.

6W² - 22W - 868 = 0

Using middle-term factorization.

2( 3W² - 11W - 434 ) = 0

3W² - 11W - 434 = 0

3W² - ( 42 - 31 )W - 434 = 0

3W² - 42W + 31W - 434 = 0

3W ( W - 14 ) + 31 ( W - 14 ) = 0

3W + 31 = 0

3W = - 31

W = - 31 / 3 ( Can not be a negative)

W - 14 = 0

W = 14

Putting W = 14 in (1)

L = 6W - 22

L = 6 x 14 - 22

L = 84 - 22

L = 62

Thus the length of the rectangle is 62 feet.

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Answer:

11/15 of  the trail

Step-by-step explanation:

Step one:

given data

She ran 2/5 of the trail on Monday

Then ran a different 1/3 of the trail on Tuesday

Required

The total distance covered for Monday and Tuesday

Step two:

Total= 2/5+1/3

lcm= 15

Total= 6+5/15

Total= 11/15

Answer:

Volume of a Cylinder = πr²h

v = 3.14 * (0.5)² * 2.5

v = 3.14 * 0.25 * 2.5

v = 1.96 Ft³

Step-by-step explanation:

Answer:

Step-by-step explanation:

a

the answer of this question is 11

Answer:

8+3=11

Step-by-step explanation:

you have to add 8+3 and get 11

Answer:

from shortest to longest

NR

RS

NS

Step-by-step explanation:

HOPE IT HELPS

Answer:

[tex]x=(59cos 45\textdegree)t,y=4+(v_0sin45\textdegree)t-16t^2[/tex]

Step-by-step explanation:

From the question we are told that

Height [tex]h=4feet[/tex]

Initial velocity of[tex]v_0=59 feet/sec[/tex]

Angle [tex]\theta= 40\textdegree[/tex]

Generally the parametric equation for projectile motion is mathematically given by

[tex]x=(v_0cos\theta)t,y=y_0+(v_0sin\theta)t-16t^2[/tex]

Therefore

[tex]x=(59cos 45\textdegree)t,y=4+(v_0sin45\textdegree)t-16t^2[/tex]

The parametric equation that represents the path of the football

[tex]x=(59cos 45\textdegree)t,y=4+(v_0sin45\textdegree)t-16t^2[/tex]

Answer:

C

Step-by-step explanation:

Answer:

y = 3/5x - 6

Step-by-step explanation:

Slope intercept Form: y = mx + b

m = slope

b = y-intercept

Slope = 3/5

Y-intercept = -6

y = 3/5x - 6

Answer:

y = 3/5 -6

Step-by-step explanation:

You have the y and constant value already

plz give brainliest

Answer:

Absolute value is talking about distance (Distance from zero); distance is always measured by positive numbers.

Answer:

21.9mm

Step-by-step explanation:

6.2+ 15.7 = 21.9

hope this helps....

Answer:

y=mx+b

y= 1x + 4

Step-by-step explanation:

m= y2-y1/x2-x1

m= 7-4/3-0

m= 3/3

m=1

y=mx+b

7= 1*3+b

7=3+b

-3  -3

4=b

y=1x+4

Answer:

I think the answer is Z is 45 degrees

hope this helps!

Answer:

The value of tangent Z is

[tex] \frac{3}{4} [/tex]

Note that the question asks for the value of tan z NOT angle z.

Step-by-step explanation:

[tex] \tan(z) = \frac{opposite}{adjacent} = \frac{21}{28} = \frac{7 \times 3}{7 \times 4} = \frac{3}{4} [/tex]

Answer:

126

Step-by-step explanation:

So theres 840 people and 85% got a seat

We just do 840 * 85% = 714

then to find the people without the seat

840 - 714 = 126

Answer:

The equation best represents the line is:

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

Taking the two points

Determining the slope between the points (0, -1) and (1, 2)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:-1\right),\:\left(x_2,\:y_2\right)=\left(1,\:2\right)[/tex]

[tex]m=\frac{2-\left(-1\right)}{1-0}[/tex]

Refine

[tex]m=3[/tex]

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

As we are given the point (0, -1)

It means at x = 0, y = -1

Thus, the y-intercept b = -1

now substituting b = -1 and m = 3 in the slope-intercept form

y = mx+b

y = 3x + (-1)

y = 3x-1

Therefore, the equation best represents the line is:

Answer:

hope this helps!!:)

Step-by-step explanation:

Answer:

y=C-5x^2

Step-by-step explanation:

Here the positive intercept should be considered as the -1 and 5.

Since X-Intercept shows the landing point i.e. bottom of the cliff since all x intercepts contains a y value of 0.

In this case it would be 0 feet.

So,

[tex]h(x)= -16x^2-16x+80x+80[/tex]

h(x)= -x(16x-16) +5(16x+16)

h(x)= (-x+5)(16x+16)

x intercepts = -1 and 5

Learn more about intercept here: https://brainly.com/question/15546484

Answer: [tex]y=\sqrt{r^{2} -x^{2} }[/tex]

Step-by-step explanation:

x^2+y^2=r^2 --> subtract x^2 to other side

y^2=r^2-x^2 --> square root both sides

y=sqrt(r^2-x^2)

Answer:

D. 33 + 18

Step-by-step explanation:

Sum in mathematics is the same as addition or plus.

As such the sum of two or more numbers is the addition of these numbers or the result obtained when the plus sign is placed in between the given numbers.

Hence, the sum of 33 and 18 may be expressed as

33 + 18

Option D is right

Answer: its D

Step-by-step explanation:

[tex]\huge\star{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}\star[/tex]

18 ÷ 3

= 6/1

Option [a] 6 to 1 is correct !

Answer:

f

Step-by-step explanation:

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

Explanation:

Let's go through the answer choices one at a time.

Answer:

6

Step-by-step explanation:

6 is the answer to your question

Answer:

Ships A and B are 1,425 feet apart and detect a submarine below them. The angle of depression from ship A to the submarine is 59°, and the angle of depression from ship B to the submarine is 47°.

How far away is the submarine from the two ships? Round to the nearest hundredth of a foot.

The distance from ship A to the submarine is about

feet.

The distance from ship B to the submarine is about

feet.

Step-by-step explanation: answer this and ill answer yours.

Answer:

I think it is the third one.

Step-by-step explanation:

Answer:

Step-by-step explanation:

8 + p/10 >= 3

p/10 >= -5

p >= -50

Answer:

A. -50

Step-by-step explanation:

your welcome!

Answer:

The water level is changing at - 0.016 centimeters per minute when the water is 10 centimeters deep.

Step-by-step explanation:

From Geometry, the volume of the cone ([tex]V[/tex]), measured in cubic centimeters, is defined by:

[tex]V = \frac{\pi\cdot r^{2}\cdot h}{3}[/tex] (1)

Where:

[tex]r[/tex] - Radius, measured in centimeters.

[tex]h[/tex] - Height, measured in centimeters.

Then, we find a formula for the rate of change of the volume of the birth bath ([tex]\dot V[/tex]), measured in cubic centimeters per minute, by means of differentiation:

[tex]\dot V = \frac{\pi}{3}\cdot \left(2\cdot r\cdot h\cdot \dot r + r^{2}\cdot \dot h \right)[/tex] (2)

Where:

[tex]\dot r[/tex] - Rate of change of radius, measured in centimeters per minute.

[tex]\dot h[/tex] - Rate of change of height, measured in centimeters per minute.

In addition, we have the following relationship:

[tex]r = 2\cdot h[/tex] (3)

And by Differential Calculus:

[tex]\dot r = 2\cdot \dot h[/tex] (4)

By applying (3) and (4) in (2), we find the following expanded formula:

[tex]\dot V = \frac{\pi}{3}\cdot \left[2\cdot (2\cdot h)\cdot (2\cdot \dot h)+4\cdot h^{2}\cdot \dot h\right][/tex]

[tex]\dot V = \frac{\pi}{3}\cdot (8\cdot h+4\cdot h^{2})\cdot \dot h[/tex] (5)

If [tex]\dot V = -8\,\frac{cm^{3}}{min}[/tex] and [tex]h = 10\,cm[/tex], then the rate of change of the water level is:

[tex]\dot h = \frac{\dot V}{\frac{\pi}{3}\cdot (8\cdot h + 4\cdot h^{2}) }[/tex]

[tex]\dot h = \frac{-8\,\frac{cm^{3}}{min} }{\frac{\pi}{3}\cdot [8\cdot (10\,cm)+4\cdot (10\,cm)^{2}] }[/tex]

[tex]\dot h \approx -0.016\,\frac{cm}{min}[/tex]

The water level is changing at - 0.016 centimeters per minute when the water is 10 centimeters deep.