All categories

4 years ago

The city zoo is shaped like a triangle. Two perpendicular sides of the zoo measure 2.8 miles and 3.1 miles.

Mathematics

1 answer:

LenKa [72]4 years ago

6 0

This a right angled triangle, so just multiply the two lenghts together (to get a square) then divide by 2. 8.68/2=4.34

You might be interested in

A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the bui

tester [92]

Answer:

(dy/dt) = - 0.45 m/s (the minus sign indicates that the height of the shadow decreases as the man moves towards the wall).

Step-by-step explanation:

An image of the problem is presented in the attached file to this solution. The image shows the exact moment when the 2m tall man is 4m away from the wall.

First of, when the man is 4m away from the wall, he is 8m away from the spotlight, that is, x = 8m

Using the concept of similar triangles, we can obtain the value of y at this point.

(x/2) = [(x+4)/y]

x = 8

(8/2) = (12/y)

y = 3m when x = 8m

From the image,

But generally, for x and y at any point,

(x/2) = (12/y)

xy = 24

Differentiating with respect to t

(d/dt)(xy) = (d/dt)12

y (dx/dt) + x (dy/dt) = 0

x (dy/dt) = - y (dx/dt)

At x = 8m, y = 3m, (dx/dt) = 1.2 m/s

8 (dy/dt) = - 3 (1.2)

(dy/dt) = - 3.6/8 = - 0.45 m/s

The minus sign indicates that the height of the shadow decreases as the man moves towards the wall.

7 0

4 years ago

Find the solution set for the given inequality. -7x + 3 > 45 A) Show your work to solve this inequality (B) Graph the solutio

scoundrel [369]

Answer:

See explanation

Step-by-step explanation:

Given the inequality $-7x+3>45$

A) Add -3 to both sides of inequality:

$-7x+3-3>45-3\\ \\-7x>42$

Divide by -7 (remember, dividing the inequality by negative number changes the sign of inequality):

$x$

B) Plot open circle at -6 on the number line and shade all values of x which go to the left from -6 (see attached diagram).

8 0

3 years ago

I dont know what the answer is help please?

Brrunno [24]

Answer:

its A

Step-by-step explanation:

5 0

3 years ago

Brainliest question please help please help me solve all the two problems please

alexgriva [62]

Answer:

(-1,5)

Step-by-step explanation:

up the x corridor and down the y axis.

4 0

3 years ago

C. How many pieces of siding need to be purchased? Justify your reasoning.

Mademuasel [1]

Answer:14025

Step-by-step explanation:

Because 25x33x17=14025

4 0

3 years ago

Read 2 more answers