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miskamm [114]
2 years ago
8

Find the midpoint of the line segment joining the points (7,1) and (-1,-1)

Mathematics
1 answer:
chubhunter [2.5K]2 years ago
6 0
= x1 + x2/2 , y1 + y2/2
= 7+-1/2 , 1+(-1)/2
Midpoint = (3,0)
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Find the cos A and tan B to four decimal places. URGENT
Nikolay [14]

cos A is 0.8511 and tan B is 1.6

Step-by-step explanation:

Find the 3rd length or the hypotenuse.

<u>Pythagoras theorem</u>

hypotenuse^{2} = adjacent^{2} + opposite^{2}

hypotenuse^{2} = 8^{2} + 5^{2}

hypotenuse^{2} = 64 + 25

hypotenuse = \sqrt{89}

hypotenuse = 9.4

a) Cos A

<u>Data:</u>

Adjacent = 8

Hypotenuse = 9.4

<u>Formula:</u>

Cos (Angle) = \frac{adjacent}{hypotenuse}

Cos A =  \frac{8}{9.4}

Cos A = 0.8511

A = cos^{-1} (0.8511)

A = 31.7°

b) Tan B

<u>Data: </u>

Opposite = 8

Adjacent = 5

<u>Formula:</u>

Tan (Angle) = \frac{opposite}{adjacent}

Tan B = \frac{8}{5}

Tan B = 1.6

B =  cos^{-1} (1.6)

B = 58°

Therefore, cos A is 0.8511 and tan B is 1.6.

Keyword: cos, tan

Learn more about cos at

  • brainly.com/question/5013374
  • brainly.com/question/9532142

#LearnwithBrainly

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3 years ago
An employee makes a career change, her original salary was 65,000 and now it’s58,000 at her new job . What percent decrease was
julsineya [31]

Answer:

about 21 percent

Step-by-step explanation:

3 0
3 years ago
Though it just opened last month, the Mash Mobile food truck has been doing well; they're now serving an average of 200 mashed p
Anon25 [30]

Answer:

2 50-pound bags

Step-by-step explanation:

[Conversions] 50-pound bags -> 800-ounce bags

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[Bags used] 1,600 / 800 = 2 bags

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

8 0
3 years ago
Pleeease help. Will give brainliest
mars1129 [50]
I think the first one (hope it helps.

6 0
3 years ago
Sandra and Bernice are starting a nutrition and exercise program that will last 12 weeks. Sandra is starting at 150 pounds and p
Anvisha [2.4K]

Answer:

They will not have the same weight during the program

Step-by-step explanation:

Let x be the number of weeks.

<u>Sandra:</u>

Sandra is starting at 150 pounds and plans to lose 1 pound a week.

Weight after x weeks:

150-x

<u>Bernice:</u>

Bernice is starting at 135 pounds and plans to lose 1/2 a pound a week.

Weight after x weeks:

135-\dfrac{1}{2}x

Weights must be the same, so

150-x=135-\dfrac{1}{2}x\\ \\\dfrac{1}{2}x-x=135-150\\ \\-\dfrac{1}{2}x=-15\\ \\x=30

Since 30 weeks is more that 12 weeks (the duration of the program), they will not have the same weight during this program.

6 0
3 years ago
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