Given right triangle ABC with altitude BD drawn to hypotenuse AC. If BC=6 and DC=4, what is the length of AC ?

Mathematics

1 answer:

Art [367]3 years ago

4 0

Step-by-step explanation:

BC^2 + DC^2 = AC^2

6^2 + 4^2 =AC^2

36 + 16 = AC^2

52=AC^2

√52=AC

AC=7.2111

You might be interested in

Sam cut a pizza into 6 equal sizes slices. What is the measure of the angle formed by one of the pieces

Tcecarenko [31]

Answer: 60

Step-by-step explanation:

A circle is 360 degrees, so 360/6 is your answer.

4 0

3 years ago

Can someone tell me if I got this question correct please:

DENIUS [597]

It does not exist because the function is not continuous at -2.
Substitute -2 into both rules and they must equal the same number.
USING a TI-83 plus press Y= in Y1 put (2x+5)(x<-2) and in Y2 put (x+4)(x≥-2)
Arrow over in front Y1 and press ENTER until you see only 3 diagonal dots
Do the same in front of Y2.
Inequality signs are under 2nd MATH
Press GRAPH (You can see it is not continuous at -2)

4 0

3 years ago

Which pair of fractions are proportional? A.36/54 and 6/9 B.6/7 and 16/21 C.14/35 and 21/42 D.21/36 and 14/25

lesya [120]

Simple....

A. 36/54=6/9

Thus, your answer.

5 0

3 years ago

How do you solve a algebraic equasion as shown: A=Q+T/PQ ans you are solving for P?

mina [271]

I'm not sure if there's a certain form your teacher likes better but I put two

4 0

3 years ago

Three people of kaui Island are named Alice, Bob and Carol. At least one of them is a Knight and at least one is a Knave. Exactl

IrinaVladis [17]

Answer: Alice has the prize

Step-by-step explanation:

$\boxed{\begin{array}{c|c|c||l}\underline{Alice}&\underline{Bob}&\underline{Carol}&\underline{Prize}\\T&T&F&\text{Alice}\\T&F&F&\text{no possible answer}\\T&F&T&\text{no possible answer}\\F&T&T&\text{no possible answer}\\F&F&T&\text{no possible answer}\\F&T&F&\text{no possible answer}\end{array}}$

Line 1:

Alice: Bob doesn’t have the prize (T) ... either Alice or Carol

Bob: I don’t have the prize (T) ... either Alice or Carol

Carol: I have the prize (F) ... either Alice or Bob

Alice is true for all of them!

Line 2:

Alice: Bob doesn’t have the prize (T) ... either Alice or Carol

Bob: I don’t have the prize (F) ... Bob

Carol: I have the prize (F) ... either Alice or Bob