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2 years ago

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.

Pythagoras theorem

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

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

$hypotenuse^{2}$ = 64 + 25

hypotenuse = $\sqrt{89}$

hypotenuse = 9.4

a) Cos A

Data:

Adjacent = 8

Hypotenuse = 9.4

Formula:

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

Data:

Opposite = 8

Adjacent = 5

Formula:

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

#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

[Total potatoes used] 200 mashed potato creations * 8 ounces of potatoes in each dish = 1,600 ounces of potatoes

[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.

Sandra:

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

Weight after x weeks:

$150-x$

Bernice:

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