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Sonbull [250]
2 years ago
6

Solve the triangle, AMDM

Mathematics
1 answer:
krok68 [10]2 years ago
6 0

Answer:

B

Step-by-step explanation:

You are given two sides and the included angle, so you need to use the law of cosines.

c² = a² + b² - 2ab cos C

c² = 12² + 13² - 2(12)(13)cos 134°

c² = 313 - 312(-0.6947)

c² = 529.733

c = 23.016

Now use the law of sines.

c/sin C = a/sin A

23.016/sin 134° = 12/sin A

sin A = 12 × sin 134° / 23.016

sin A = 0.37504

A = 22.03°

B = 180° - 134° - 22.03°

B = 23.97°

m<A = 22°; m<B = 24°; c = 23 km

Answer: B

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Square Root of 9801<br> With Steps Please
zhuklara [117]

Answer:

99

Step-by-step explanation:

First give it as a product of prime factors. Divide 9801 with prime numbers. The first picture divides 9801 fron prime numbers. Prime numbers are 2,3,5,7, 11. We can only divide using 3 and 11. So we get 3⁴ and 11². The second picture shows how I got the square root of 9801. Square root is ½. So we multiply each power with ½ so we finally get 99. You can recheck for yourself using a calculator. It is 99.

4 0
2 years ago
Multiple Choice
mihalych1998 [28]

Answer:

D is correct

Step-by-step explanation:

A graph of that sort will make a perfectly mirrored "V" shape, and with no offset, the bottom point will be on the y axis.  This means that the first equation will intercept the y axis at zero, the second will intercept the y-axis at -15.

"A" may seem correct also, as the second graph will intercept the x-axis at -15, but it is not complete, as it will intercept that axis at +15 as well.

7 0
2 years ago
M−4+m−5 how do I solve this ?
attashe74 [19]

Answer:

2m - 9

Step-by-step explanation:

To simplify this, we need to combine like terms. m + m = 2m and -4 - 5 = -9 so the simplified version would be 2m - 9.

6 0
3 years ago
A construction company built a scale model of a building. The model was built using a scale of 3 inches = 32 feet. If the buildi
Vlad1618 [11]

Let x represent the height of the model.

We have been given that a construction company built a scale model of a building. The model was built using a scale of 3 inches = 32 feet. We are asked to find the height of the model, if  the building is expected to be 200 feet tall.

We will use proportions to solve our given problem as:

\frac{\text{Model height}}{\text{Actual height}}=\frac{\text{Model length}}{\text{Actual length}}

Upon substituting our given values, we will get:

\frac{x}{200\text{ ft}}=\frac{3\text{ in}}{\text{32 ft}}

\frac{x}{200\text{ ft}}\times 200\text{ ft}=\frac{3\text{ in}}{\text{32 ft}}\times 200\text{ ft}

x=3\text{ in}\times 6.25

x=18.75\text{ in}

Therefore, the model will be 18.75 inches tall.

7 0
3 years ago
Given the points (-4,8)and(6,-12)
MissTica

Answer:

1.

midpoint = ( \frac{ - 4 + 6}{2} , \:  \frac{ - 12 + 8}{2} ) \\  = (1, \:  - 2)

2.

distance =  \sqrt{ {( - 4 - 6)}^{2} +  {( - 12 - 8)}^{2}  }  \\  =  \sqrt{500}  \\  = 22.4 \: units

3 0
3 years ago
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