All categories

3 years ago

What is the value of x? A. 2 Units B. 3 Units C. 5 Units D. 8 Units

Mathematics

1 answer:

Fudgin [204]3 years ago

7 0

You need the formula for geometric mean for right triangles as it applies to the altitude. For us, that formula will be $\frac{BD}{AD}=\frac{CD}{BD}$ where BD is your altitude. The formula then, filled in accordingly, would be $\frac{10}{x}=\frac{4x}{10}$ . We cross multiply to get that $4x^2=100$ . Divide both sides by 4 to get $x^2=25$ , so x = 5. Choice C is the one you want.

You might be interested in

Please answer the 1 question in the picture, thanks

Anestetic [448]

Answer:

Step-by-step explanation:

LxW=A

So 4x10=40

Hope this helps

7 0

3 years ago

Read 2 more answers

Find the missing side round to the nearest 10th please help

katrin [286]

Step-by-step explanation:

Number 3

cos∅ = adj/hyp

cos35° = 20/x

x = 20/cos35°

x = 20/0.8192

x = 24.4155

x ≈ 24.4 to the nearest tenth

Option C

Number 6

tan∅ = opp/adj

tan37° = 20/x

x = 20/tan37°

x = 20/0.7536

x = 26.5409

x ≈ 26.5 to the nearest tenth

Option B

8 0

3 years ago

Which solid has a greater volume

Triss [41]

Answer:

The volume of cylinder and the volume of a cone, have equal volume measurements. So, the answer is C).

Step-by-step explanation:

Cylinder:

-Use the formula for the volume of a cylinder. Use both the radius and height for the formula in order to solve and get the volume:

$V = \pi r^2 h$

$V = \pi 2^2 6$

-Solve:

$V = \pi 2^2 6$

$V = \pi \times 2^2 \times 6$

$V = \pi \times 4 \times 6$

$V = \pi \times 24$

$V = 24\pi \approx 75.39$

--------------------------------------------------------------------------------------------------------

Cone:

-Use the formula for the volume of a cone and the radius and height for the formula and solve the formula to get the volume:

$V = \frac{1}{3} \pi r^2h$

$V = \frac{1}{3} \pi 3^28$

-Solve:

$V = \frac{1}{3} \pi 3^28$

$V = \frac{1}{3} \times \pi \times 3^2 \times 8$

$V = \frac{1}{3} \times \pi \times 9 \times 8$

$V = \frac{1}{3} \times \pi \times 72$

$V = \frac{1}{3} \pi \times 72$

$V = 24\pi \approx 75.39$

-So, according to the volume of a cylinder and the volume of a cone, They both have the same volume.

Cylinder: $75.39$ $ft^3$

Cone: $75.39$ $ft^3$

5 0

3 years ago

Find 3 consecutive numbers where the product of the smaller two numbers is 19 less than the square of the largest number.

Reika [66]

N; n+1; n+2 - 3 consecutive numbers

n(n + 1) = (n + 2)² - 19 |use a(b + c) = ab + ac and (a + b)² = a² + 2ab + b²

n² + n = n² + 4n + 4 - 19 |subtract n² from both sides

n = 4n - 15 |subtract 4n from both sides

-3n = -15 |divide both sides by (-3)

n = 5

n + 1 = 5 + 1 = 6

n + 2 = 5 + 2 = 7

Answer: 5; 6; 7.

6 0

3 years ago

Each edge of a cube is 9 centimeters long. Find the total length of all the edges of the cube.

posledela

Answer:

108 centimeters

Step-by-step explanation:

There are 12 edges total.

9 x 12 = 108

4 0

3 years ago