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ahrayia [7]
3 years ago
6

If AC = 15 centimeters, and BC = 12 centimeters, which does AB equal

Mathematics
1 answer:
Marat540 [252]3 years ago
4 0

The pythagorean theorem says that a² + b² = c²

You're given the b and the c so substitute the values in: a² + 12² = 15²

a² + 144 = 225; subtract 144 from both sides

a² = 81; square root each side

a = 9, or choice C

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The equation a2 + b2 = ca represents the relationship between the three sides of a right triangle.
choli [55]

Answer:

Step-by-step explanation:

I think you mean a² + b² = c², not ca.

a = 10, c = 26

b² = c²  - a² = 26² - 10² = 576

b = √576 = 24 ft

3 0
3 years ago
Answer needed -3x + 9 = 18
Aloiza [94]

Answer:

X=-3

Step-by-step explanation:

Is that what you need?

8 0
3 years ago
Which of the following could be the ratio between the lengths of the two legs
skad [1K]

9514 1404 393

Answer:

  B, E

Step-by-step explanation:

The ratios of side lengths in a 30-60-90 triangle are ...

  1 : √3 : 2

The two legs are the shorter sides, so any ratio that reduces to 1 : √3 is an appropriate choice:

  B.  1 : √3

  E.  2√3 : 6

3 0
3 years ago
Move two choices to the blanks to correctly complete the sentences.
Pavel [41]

Answer:

(A) There should have been 5 outcomes of HT

(B) The experimental probability is greater than the theoretical probability of HT.

Step-by-step explanation:

Given

S = \{HH,HT,TH,TT\} -- Sample Space

n(S) = 4 --- Sample Size

Solving (a); theoretical outcome of HT in 20 tosses

First, calculate the theoretical probability of HT

P(HT) = \frac{n(HT)}{n(S)}

P(HT) = \frac{1}{4}

Multiply this by the number of tosses

P(HT) * n= \frac{1}{4} * 20

P(HT) * n= 5

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Solving (b); experimental probability of HT

Here, we make use of the table

P(HT) = \frac{n(HT)}{n(S)}

P(HT) = \frac{6}{20}

P(HT) = 0.30 ---- Experimental Probability

In (a), the theoretical probability is:

P(HT) = \frac{1}{4}

P(HT) = 0.25 ---- Experimental Probability

By comparison;

0.30 > 0.25

6 0
3 years ago
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