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Lady_Fox [76]
3 years ago
8

What is the slope-intercept formula for a line with a rise of 3, a run of 1 and a y-Intercept of 5?

Mathematics
2 answers:
Veseljchak [2.6K]3 years ago
8 0

Answer:

y=3x+5

Step-by-step explanation:

y=mx+b

intercept is 5, postive and represents b

Slope is 3 and represents m

katrin2010 [14]3 years ago
6 0
Y jvyouggchkytfkytchgjhvl
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What is the area of the sector ?​
worty [1.4K]

They forget to say "not to scale".  I'm guessing this is trig because I don't see another way to do it.

Let's consider x=chord PQ first.  By the Law of Cosines

x^2 = 3^2 + 5^2 - 2(3)(5) \cos 81^\circ = 34 - 30\cos 81^\circ

We have an isosceles triangle formed by two radii of 9 cm and x=PQ.  By the Law of Cosines again,

x^2 = 9^2 + 9^2 - 2(9)(9) \cos B

x^2 = 162 - 162 \cos B

\cos B = \dfrac{162 - x^2}{162} = 1 - \dfrac{x^2}{162}

\cos B = 1 - \dfrac{34 - 30\cos 81^\circ}{162}

B = \arccos \left(1 - \dfrac{34 - 30\cos 81^\circ }{162} \right)

The area of the circle is the fraction given by the angle,

A = \dfrac{B}{360^\circ} \pi r ^2

A \approx \dfrac{ \arccos \left(1 - \dfrac{34 - 30\cos 81^\circ}{162} \right) }{360} (3.142)9^2

A\approx 24.7474332960707

Answer: 24.7 sq cm

8 0
2 years ago
A librarian has 883 books to place on shelves. Each shelf holds 98 books.
egoroff_w [7]

Answer:

She will be able to fill 9 shelves with 1 book left over.

Let me know if you need more help! :)

3 0
2 years ago
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The dimensions of one of the sails on a sailboat are 9 feet, 12 feet, and 15 feet. Is the sail a right triangle?
kipiarov [429]

Answer:

yes

Step-by-step explanation:

Using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares of the other 2 sides then the triangle is right.

longest side = 15 , then 15² = 225

9² + 12² = 81 + 144 = 225

Thus the sail is a right triangle.

7 0
2 years ago
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1. What is the principal which would amount to $6 900 in 3 years at 5%
Dmitry [639]

Answer:

umnim not sure if will be back for that one

8 0
3 years ago
I WILL GIVE BRAINLIEST IF IT IS CORRECT! The Atlantic Ocean covers about 3.2 × 10^7 square miles. The Pacific Ocean covers about
kkurt [141]

Answer:

B

Step-by-step explanation:

3.2 * 10⁷ + 6.4 * 10⁷

= 10⁷  * (3.2 + 6.4)

= 10⁷ * 9.6

= 9.6 * 10⁷

3 0
2 years ago
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