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just olya [345]

2 years ago

11

.In a certain city, each block is about

1 answer:

Ahat [919]2 years ago

7 0

The computation shows that the miles that it is from the post office to the library will be 3575 miles.

<h3>How to illustrate the information?</h3>

It was stated that each block is about

275 meters long and the post office is 13

blocks away from the library.

Therefore, the miles that it is from the post office to the library will be:

= 275 × 13

= 3575 miles.

Therefore, the computation shows that the miles that it is from the post office to the library will be 3575 miles.

Learn more about computations on:

brainly.com/question/4658834

#SPJ1

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The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its

Elodia [21]

Answer:

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

<em>Shape: Triangle</em>

<em>Represent the height with h and the base with b</em>

$b = 3 + 2h$

$Area = 22$

Required

Find the length of the base

The area of a triangle is calculated as thus;

$Area = \frac{1}{2} * b * h$

Substitute 22 for Area and 3 + 2h for b

The formula becomes

$22 = \frac{1}{2} * (3 + 2h) * h$

Multiply both sides by 2

$2 * 22 = 2 * \frac{1}{2} * (3 + 2h) * h$

$44 = (3 + 2h) * h$

Open the bracket

$44 = 3 * h + 2h * h$

$44 = 3h + 2h^2$

Subtract 44 from both sides

$44 - 44 = 3h + 2h^2 - 44$

$0 = 3h + 2h^2 - 44$

Rearrange

$0 = 2h^2 +3h - 44$

$2h^2 +3h - 44 = 0$

At this point, we have a quadratic equation; which is solved as follows:

$2h^2 +3h - 44 = 0$

$2h^2 + 11h - 8h - 44 = 0$

$h(2h + 11) - 4(2h + 11) = 0$

$(h - 4)(2h + 11) = 0$

Split the above

$(h - 4) = 0\ or\ (2h + 11) = 0$

$h - 4 = 0\ or\ 2h + 11 = 0$

Solve the above linear equations separately

$h - 4 = 0$

Add 4 to both sides

$h - 4 + 4 = 0 + 4$

$h = 0 + 4$

$h = 4$ ---- <em>First value of h</em>

$2h + 11 = 0$

Subtract 11 from both sides

$2h + 11 - 11 = 0 - 11$

$2h = 0 - 11$

$2h = -11$

Divide both sides by 2

$\frac{2h}{2} = -\frac{11}{2}$

$h = -\frac{11}{2}$ <em> ------ Second value of h</em>

Since height can be negative, we'll discard $h = -\frac{11}{2}$

Hence, the usable value of height is $h = 4$

Recall that $b = 3 + 2h$

Substitute 4 for h

$b = 3 + 2(4)$

$b = 3 + 8$

$b = 11$

Hence, the length of the base is 11 meters

3 0

3 years ago

Here is the question<br> |<br> |<br> |<br> |<br> v

raketka [301]

Answer:

16.5 square feet

Step-by-step explanation:

The logo consists of

rectangle with sides of 3 ft and 1.5 ft;
trapezoid with bases 3 ft, 4 ft and height of 3 ft;
triangle with base of 1.5 ft and height of 2 ft.

<u>The area of rectangle:</u>

$A_{rectangle}=1.5\ ft\times 3\ ft=4.5\ ft^2$

<u>The area of trapezoid:</u>

$A_{trapezoid}=\dfrac{3\ ft+4\ ft}{2}\times 3 \ ft=3.5\ ft\times 3 \ ft=10.5 \ ft^2$

<u>The area of triangle:</u>

$A_{triangle}=\dfrac{1}{2}\times 1.5\ ft\times 2 \ ft=1.5\ ft^2$

Hence, <u>the area of logo:</u>

$A=A_{rectangle}+A_{trapezoid}+A_{triangle}=4.5\ ft^2+10.5\ ft^2+1.5\ ft^2=16.5\ ft^2$

3 0

4 years ago

What is the solution set for the following equation?<br> x² = 16

Alisiya [41]

Answer:

$\{4,-4\}$

Step-by-step explanation:

$~~~~x^2 = 16\\\\\implies x = \pm\sqrt{16}\\\\\implies x =\pm 4\\\\\implies x = 4 ,~ x = -4$

6 0

2 years ago

Read 2 more answers

In the track meet I competed in the high jump and the pole vault. What is this called?

nata0808 [166]

Answer:

Within the parlance of Statistics, this is called Nominal Data.

Other examples of nominal data are:

Race
Country
Gender etc

Cheers

5 0

3 years ago

Wayne bought 4 boxes of cookies. He got 28 cookies in all. Which equation, when

Anastaziya [24]

4C=28

Divide Both Sides By 4

4/4 =C. 28/4 = 7

C=7

So each box has 7 cookies each. Solve using the equation 4C=28

5 0

3 years ago