All categories

4 years ago

What is the value of h in the figure below? In this diagram BAD~CBD

Mathematics

2 answers:

liberstina [14]4 years ago

8 0

Answer:

The correct option is E. 8

The value of h is 8 unit.

Step-by-step explanation:

Given:

Δ BAD ~ Δ CBD

AC = 20

DC = 4

∴ $AD = AC - DC=20-4=16$

To Find:

h = ?

Solution:

Δ BAD ~ Δ CBD ................Given

If two triangles are similar then their sides are in proportion.

$\frac{BD}{CD} =\frac{AD}{BD} =\frac{BA}{CB}\ \textrm{corresponding sides of similar triangles are in proportion}\\$

On substituting the given values we get

$\dfrac{BD}{CD} =\dfrac{AD}{BD}$

$\dfrac{h}{4} =\dfrac{16}{h}\\\therefore h^{2}=64\\\therefore h=8\ unit$

The value of h is 8 unit.

Ganezh [65]4 years ago

7 0

Answer:

Step-by-step explanation:

You might be interested in

which of the functions have a range of real numbers greater than or equal to 1 or less than or equal to-1

lilavasa [31]

The question is incomplete. Here is the complete question:

Which of the functions have a range of all real numbers greater than or equal to 1 or less than or equal to -1? check all that apply.

A. $y=\sec x$

B. $y= \tan x$

C. $y= \cot x$

D. $y= \csc x$

Answer:

A. $y=\sec x$

D. $y=\csc x$

Step-by-step explanation:

Given:

The range is greater than or equal to 1 or less than or equal to -1.

The given choices are:

Choice A: $y=\sec x$

We know that, the $\sec x=\frac{1}{\cos x}$

The range of $\cos x$ is from -1 to 1 given as [-1, 1]. So,

$|\cos x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\cos x|}\geq 1\\|\sec x|\geq 1$

Therefore, on removing the absolute sign, we rewrite the secant function as:

$\sec x\leq -1\ or\ \sec x\geq 1\\$

Therefore, the range of $y=\sec x$ is all real numbers greater than or equal to 1 or less than or equal to-1.

Choice B: $y= \tan x$

We know that, the range of tangent function is all real numbers. So, choice B is incorrect.

Choice C: $y= \cot x$

We know that, the range of cotangent function is all real numbers. So, choice C is incorrect.

Choice D: $y=\csc x$

We know that, the $\csc x=\frac{1}{\sin x}$

The range of $\sin x$ is from -1 to 1 given as [-1, 1]. So,

$|\sin x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\sin x|}\geq 1\\|\csc x|\geq 1$

Therefore, on removing the absolute sign, we rewrite the cosecant function as:

$\csc x\leq -1\ or\ \csc x\geq 1\\$

Therefore, the range of $y=\csc x$ is all real numbers greater than or equal to 1 or less than or equal to-1.

6 0

3 years ago

Erik states that the two cones below have the same volume because of Cavalieri’s principle. 2 cones are shown. The first cone ha

castortr0y [4]

Answer:

D. No, the heights of the cones are not the same, so Cavalieri’s principle does not apply.

Step-by-step explanation:

Correct on Edge.

8 0

3 years ago

Read 2 more answers

What could be the base shape of a cylinder?

Len [333]

Answer:

Circle

Step-by-step explanation:

I believe the correct answer is the base shape of a cylinder would be circle. a cylinder is a closed solid that has two parallel (usually circular) bases connected by a curved surface.This is the most common kind, and if someone just says 'cylinder' this is usually what they mean. The bases can however be almost any curved shape, but the most common alternative to a circle is an ellipse. The shape would then be called an 'elliptical cylinder'. The vertical cross-section of a cylinder is a rectangle, and the horizontal cross-section is a circle.

Hope that was helpful.Thank you!!!

7 0

3 years ago

Read 2 more answers

2 lines intersect. A line with points T, R, W intersects a line with point S, R, V at point R. 4 angles are created. Labeled clo

Agata [3.3K]

Answer:

Step-by-step explanation:

just took the quiz

5 0

3 years ago

Read 2 more answers

help im stuck pls -- Refer to the table above. Determine the percent of all voters that did not vote Republican or Democrat but

dsp73

Answer:

9.9%

Step-by-step explanation:

Well, you would just divide the "other" category and the "total" category and then move the decimal over 2 spaces, because you need to multiply by 100 to turn your answer into a percent, so:

$\frac{222}{2222} =0.09999...\\$

Then once you multiply by 100, or move the decimal to the left 2 spaces, it becomes:

9.9%, which could be rounded to 10% or 9%.

5 0

3 years ago