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FromTheMoon [43]
3 years ago
8

The slope of the line that passes through the points (6,9) and (11,2) is

Mathematics
2 answers:
yuradex [85]3 years ago
6 0

Answer: I THINK the answer is negative 7/5

Step-by-step explanation:

jarptica [38.1K]3 years ago
5 0

Answer:

slope = - \frac{7}{5}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2-y_{1} } }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (6, 9) and (x₂, y₂ ) = (11, 2)

m = \frac{2-9}{11-6} = \frac{-7}{5} = - \frac{7}{5}

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In triangle ABC, a = 9, c = 5, and angle B = 120°. Find the measure of angle A to the nearest degree. Show your work.
slamgirl [31]

<u>Answer:</u>

Angle A = 39°

<u>Step-by-step explanation:</u>

We are given that there is a triangle ABC where a = 9, c = 5 and angle B = 120° and we are to find the measure of angle A.

But first we need to find the side b using the law of cosine:

b^2 = a^2 + c^2- 2a*c*cos(120)

b^2 = 81 + 25 - 2*9*5*(-0.5)

b=\sqrt{151}

Now finding angle A using law of cosine:

cos(A) = \frac{b^2+c^2-a^2}{2b*c}

cos(A) = \frac{151+25-81}{2*12.29*5}

cos A=0.7730

A=39.38

Therefore, the measure of angle A = 39°.

7 0
3 years ago
Read 2 more answers
31. A business rents cars for $150 a day and vans for $300 a day. One day it rented a total of 30 vehicles and
Advocard [28]

Answer:

D. 22 Cars and 8 Vans

Step-by-step explanation:

1. You multiply 22 x 150 = 3,300.

2. Then you multiply 300 x 8 = 2,400.

3. Next, add 3,300 + 2,400

4. That equals 5700.

Hopefully, that helps!

7 0
3 years ago
Blossom typed 1/8 of her report on Monday. She typed 1/4 of the report of Tuesday. How much of the report does she need to type
DochEvi [55]

Answer:4

Step-by-step explanation:

4 0
3 years ago
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It's the 11th day of autumn and the first leaf has fallen! If the number of leaves on the ground is tripling with each passing d
AlekseyPX

Answer: 1,594,323

Step-by-step explanation:

No of leaves which falls daily on the first day = 1

No of days leaves falls = 14 days.

Solution:

No of leaves of day 1

= 1.

No of leaves on day 2

= 1*3

= 3

No of leaves of day 3

= 3*3

= 9

No of leaves of day 4

= 9*3

= 27

No of leaves on day 5

= 27*3

= 81

No of leaves on day 6.

= 81*3

= 243.

No of leaves of day 7

= 243*3

= 729

No of leaves on day 8

= 729 * 3

= 2187

No of leaves on day 9

= 2187 *3

= 6561

No of leaves on day 10

= 6561 * 3

= 19683

No of leaves on day 11

= 19683 * 3

= 59049

No of leaves on day 12

= 59049 *3

= 177147

No of leaves on day 13

= 531441

No of leaves on day 14

= 531441 * 3

= 1,594,323.

The number of leaves that would be on the ground on the 24th day of autumn would be 1,594,323

8 0
3 years ago
Find the volume of a right circular cone that has a height of 2.5 m and a base with a diameter of 18.6 m. Round your answer to t
dem82 [27]

Answer:

226.4 m³.

Step-by-step explanation:

The volume of a right cone with a circular base is:

\displaystyle V = \frac{1}{3} \pi\cdot r^{2}\cdot h,

where

  • V is the volume of the cone,
  • r is the radius of the cone,
  • and h is the height of the cone.

The radius of the circular base is one-half its diameter.

\displaystyle r= \frac{1}{2}h=9.3\;\text{m}.

\displaystyle V = \frac{1}{3} \pi\cdot r^{2}\cdot h = \frac{1}{3} \pi \times 9.3^{2} \times 2.5 \approx 226.4\;\text{m}^{3}.

5 0
3 years ago
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