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2 years ago

Petri did the following problem but got the wrong answer. She needs to correct her mistake and turn the problem back in.

Mathematics

1 answer:

zubka84 [21]2 years ago

4 0

Answer:

she needs to subtract 5-3 first

Step-by-step explanation:

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The sum of the angles of any triangle is

statuscvo [17]

Answer:

180 degrees

Step-by-step explanation:

4 0

2 years ago

A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along

mina [271]

Answer:

The tip of the man shadow moves at the rate of $\frac{20}{3} ft.sec$

Step-by-step explanation:

Let's draw a figure that describes the given situation.

Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.

Here it forms two similar triangles.

Let's find the distance "y" using proportion.

From the figure, we can form a proportion.

$\frac{y - x}{y} = \frac{6}{15}$

Cross multiplying, we get

15(y -x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

y = $\frac{15x}{9\\} y = \frac{5x}{3}$

We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).

$\frac{dy}{t} = \frac{5}{3} \frac{dx}{dt}$ ----(1)

We are given $\frac{dx}{dt} = 4 ft/sec$ . Plug in the equation (1), we get

$\frac{dy}{dt} = \frac{5}{3} *4 ft/sect\\= \frac{20}{3} ft/sec$

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.

7 0

2 years ago

Students in a college statistics class want to conduct a survey to determine the percentage of students in the school who are wi

valentina_108 [34]

Answer:

d.a cluster sampling

Step-by-step explanation:

This plan exemplifies Cluster sampling. It is a sampling method where populations are placed into different separate groups like here into freshman, sophomore, junior, and senior classes. A random sample of these groups is then selected as here thirty students selected from each group to represent a specific population. It is usually used in that type of research when there is no possible way to find information about a population as a whole.

4 0

2 years ago

Solve for x: −2x + 5 < 7 x > −1 x < −1 x > −6 x < −6

mars1129 [50]

hopefully this helps :)

5 0

2 years ago

Read 2 more answers

Find the dimensions of a rectangle whose perimeter is 22 meters and whose area is 28 square meters

kondaur [170]

You can solve this by finding all of the factors of 28 and seeing which ones add up to 22 when doubled.

The factors of 28 are as follows:

28 x 1 28(2) + 1(2) = 56 + 2 = 58 ≠ 22
14 x 2 14(2) + 2(2) = 28 + 4 = 32 ≠ 22
7 x 4 7(2) + 4(2) = 14 + 8 = 22

The dimensions of the rectangle are 4 x 7.

8 0

3 years ago