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2 years ago

2. How tall is the flagpole? Use a proportion.

Mathematics

1 answer:

Reptile [31]2 years ago

8 0

7.5 ft

I dont think so.. I think thats the answer

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the length of a retangle is 4 inches greater than the width. the perimeter of the retangle is 24 inches. What are the dimensions

Marianna [84]

$24 = 2w + 2(w+4) \\24 = 2w + 2w + 8 \\24 = 4w + 8 \\24 - 8 = 4w \\16 = 4w \\\tfrac{16}{4} = w 4 = w$

The width is 4 inches, and length is 8 inches.

3 0

3 years ago

You play a board game with your little brother. You pick a card that sends you back five spaces. On your next turn, you must mov

ElenaW [278]

Answer:

Step-by-step explanation:

Moving back will be indicated by a negative value, forward will be positive.

- 5 + (-3) + 3 is the correct option.

5 0

3 years ago

Find the value or values of y in the quadratic equation y2 + 4y + 4 = 7

Tema [17]

Hello,

y²+4y+4=7
==>(y+2)²-7=0
==>(y+2-√7)(y+2+√7)=0
==>y=-2+√7 or y=-2-√7

6 0

3 years ago

Read 2 more answers

The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. For a random

Pavlova-9 [17]

Answer:

$m=\frac{27.75}{375}=0.074$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{150}{12}=12.5$

$\bar y= \frac{\sum y_i}{n}=\frac{28.5}{12}=2.375$

And we can find the intercept using this:

$b=\bar y -m \bar x=2.375-(0.074*12.5)=1.45$

So the line would be given by:

$y=0.074 x +1.45$

C. = 1.45 + 0.074x

Step-by-step explanation:

The data given is:

x: 5,5,510,10,10, 15,15,15, 20,20,20

y: 1.6,2.2,1.4, 1.9, 2.4,2.6, 2.3,2.7, 2.8,2.6, 2.9, 3.1

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i = 150$

$\sum_{i=1}^n y_i =28.5$

$\sum_{i=1}^n x^2_i =2250$

$\sum_{i=1}^n y^2_i =70.69$

$\sum_{i=1}^n x_i y_i =384$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=2250-\frac{150^2}{12}=375$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=384-\frac{150*28.5}{12}=27.75$

And the slope would be:

$m=\frac{27.75}{375}=0.074$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{150}{12}=12.5$

$\bar y= \frac{\sum y_i}{n}=\frac{28.5}{12}=2.375$

And we can find the intercept using this:

$b=\bar y -m \bar x=2.375-(0.074*12.5)=1.45$

So the line would be given by:

$y=0.074 x +1.45$

C. = 1.45 + 0.074x

8 0

3 years ago

The perimeter of a triangle is 42 centimeters. The longest side is 2 centimeters less than 3 times the shortest side and the pot

Mariulka [41]

Answer:

7 cm, 16 cm, 19 cm

Step-by-step explanation:

Let s represent the length of the shortest side in cm. The longest side is 3s-2, and the other side is 2s+2. The perimeter is the sum of the side lengths.

P = s + (3s -2) +(2s +2)

42 = 6s . . . . . simplify, use the given value of perimeter

7 = s . . . . . . . divide by 6

2s+2 = 16

3s -2 = 19

The side lengths are 7 cm, 16 cm, and 19 cm.

3 0

2 years ago