All categories

3 years ago

Please help me with this!!

Mathematics

1 answer:

bearhunter [10]3 years ago

6 0

Answer:

8.06

Step-by-step explanation:

Use the Pythagorean theorem:

$a^{2} +b^{2} =c^{2}$

The hypotenuse is always the slanted side, or c (x in this picture), but the other numbers can be interchanged. Doesn't matter.

Plug the numbers 4 and 7 into the formula.

$4^{2} +7^{2} =c^{2} \\$

Now evaluate them to get $c^2$

16+49=65

To get c, take the square root of 65

$\sqrt{65} = 8.06$

You might be interested in

What is the value of x? Enter your answer in the box. x=

SOVA2 [1]

48 degrees, anything opposite of a degree on the same 2 infinite lines will always be the degree.

8 0

3 years ago

For a track meet, Tara ran the 1,600 m event at constant speed in 5 minutes and 20 seconds. What was her speed?

9966 [12]

Answer:

300 m/min

Step-by-step explanation:

Using the general formula of d = rt, where d = distance, r = rate and t = time, we can solve for the missing variable (r, or speed). Given Tara's distance of 1600 m and her total time of 5 minutes and 20 seconds, first convert her time into just minutes:

5 $\frac{20}{60}=\frac{1}{3}$

5 $\frac{1}{3}=\frac{16}{3}$

1600 = r(16/3)

Multiply both sides by reciprocal of 16/3: 3/16(1600) = r(16/3)(3/16)

Solve for 'r': 300 meters per minute

4 0

3 years ago

Pls Help dont get this

aalyn [17]

1. ABC
2. B
That’s the answer

6 0

3 years ago

Read 2 more answers

A red car is driving along the road in the direction of the police car and is 130 feet up the road from the location of the poli

pishuonlain [190]

Complete question:

A police car is located 50 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 130 feet up the road from the location of the police car. The police radar reads that the distance between the police car and the red car is decreasing at a rate of 75 feet per second. How fast is the red car actually traveling along the road.

Answer:

The red car is traveling along the road at 80.356 ft/s

Step-by-step explanation:

Given

Police car is 50 feet side off the road

Red car is 130 feet up the road

Distance between them is decreasing at the rate of 75 feet per sec

Let x be how far the police is off the road.

Let y be how far the red car is up the road.

Let h be the distance between the police and the red car.

This forms a right triangle so we can use the Pythagorean theorem, to solve for h

h² = x² + y²

h² = 50² + 130²

h² = 19400

h = √19400

h = 139.284 ft

Again;

Let dx/dt be how fast the police is traveling toward the road.

Let dy/dt be how fast the red car is traveling along the road.

Let dh/dt be how fast the distance between the police and the car is decreasing.

Recall that, h² = x² + y² (now differentiate with respect to time, t)

2h(dh/dt) = 2x(dx/dt) + 2y(dy/dt)

divide through by 2

h(dh/dt) = x(dx/dt) + y(dy/dt)

since the police car is not, dx/dt = 0

and dy/dt is the how fast is the red car actually traveling along the road

139.284(75) = 50(0) + 130(dy/dt)

10446.3 = 0 + 130(dy/dt)

dy/dt = 10446.3 / 130

dy/dt = 80.356 ft/s

Therefore, the red car is traveling along the road at 80.356 ft/s

6 0

4 years ago

What is the solution of a - 3 = -7

olga55 [171]

Answer:

-4

Step-by-step explanation:

take -3 to other side or add 3 to both sides

So, a=-7+3

=-4

7 0

3 years ago