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S_A_V [24]
3 years ago
15

5. Write the slope-intercept form of an equation for a line with y-intercept 9 and

Mathematics
1 answer:
Alika [10]3 years ago
5 0

Answer:

y=-3x+9

Step-by-step explanation:

y=mx+b

m=slope

b=y-intercept

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The measure of angle A to the nearest tenth of a degree is: A 18.5 B 19.5 C 20.5
Andrew [12]

Answer:

B


Step-by-step explanation:

<u>This is a right triangle as shown by the right angle.</u>

  • The side opposite the right angle is the hypotenuse, which is 9.
  • The side opposite angle A is 3.

So we have the opposite of A and the hypotenuse.

The trigonometric ratio that relates opposite side to hypotenuse is SINE.

sin\theta=\frac{opposite}{hypotenuse}

Since, we need angle A, \theta is A, opposite side is 3, and hypotenuse is 9, we substitute:

sinA=\frac{3}{9}\\sinA=\frac{1}{3}

<em>To solve for the angle, we use our calculator and find the inverse sin of \frac{1}{3} :</em>

A=sin^{-1}(\frac{1}{3})\\A=19.47

<em>Rounding to nearest tenth of a degree:</em>

A=19.5

B is the right choice.

6 0
4 years ago
2,3,5,9,17,33 what are the next three terms?
stich3 [128]

The next three terms of sequence are 65, 129 and 257

<em><u>Solution:</u></em>

<em><u>Given sequence is:</u></em>

2, 3, 5, 9, 17, 33

We have to find the next three terms in sequence

<em><u>Let us find the logic used in this sequence</u></em>

2 + 2^0 = 2 + 1 = 3\\\\3 + 2^1 = 3 + 2 = 5\\\\5 + 2^2 = 5 + 4 = 9\\\\9 + 2^3 = 9 + 8 = 17\\\\17 + 2^4 = 17 + 16 = 33

Thus the sequence is increasing by 2 raised to power 0, 1, 2 and so on

<em><u>Thus the next three terms are found by:</u></em>

33 + 2^5 =33 + 32= 65\\\\65 + 2^6 = 65 + 64 = 129\\\\129 + 2^7 = 129 + 128 = 257

Thus the next three terms of sequence are 65, 129 and 257

3 0
3 years ago
Triangle ABC is transformed to triangle A′B′C′, as shown below:
Akimi4 [234]

Answer:

d one i think

hope it helps

the sum of triangle is 180 degree

3 0
3 years ago
How to solve for probability
kirill [66]
Solution: The sum of probabilities of all the sample points must equal 1. And the probability of getting a head is equal to the probability of getting a tail. Therefore, the probability of each sample point (heads or tails) must be equal to 1/2. Let's repeat the experiment of Example 1, with a die instead of a coin.
8 0
3 years ago
Unit 2 Exam
vesna_86 [32]

Answer:

6,656 rabbits

Step-by-step explanation:

Population of rabbits = 26

Population doubles every 30 days

how many rabbits will be on the farm after 240 days?

t = 240 days / 30 days

= 8

Future Amount = 26(2)^t

=26(2)^8

= 26(256)

= 6,656

Therefore, the population of rabbits on the farm after 240 days is 6,656

7 0
3 years ago
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