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Nataly_w [17]
3 years ago
12

Help me answer these 2 questions and explain them please :)

Mathematics
1 answer:
Gnom [1K]3 years ago
5 0

Answer:

See below in bold.

Step-by-step explanation:

10.

m < N = 180 - 53 - 44

= 83 degrees.

Using the Law of Sines:

LM / sin 83 = 14 / sin 44

LM =  14 sin 83 / sin 44

LM = 20.

11.

m < ABC = 1/2 * 192 = 96 degrees.

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1578=8x+952<br><br> Solve for X
nika2105 [10]

Subtract 925 from both sides

1578 - 925 = 8x

Simplify 1578 - 925 to 653

653 = 8x

Divide both sides by 8

653/8 = x

Switch sides

<u>x = 653/8</u>

5 0
3 years ago
Read 2 more answers
They hypotenuse of a right triangle is 26 feet long. One leg of the trisangle is 14 feet longer than the other leg find the leng
Elden [556K]
We have:
c = 26 ft - a hypotenusea - a lega + 14 - a leg
Use the Pythagorean theorem:
a^2+(a+14)^2=26^2
Use: (a + b)² = a² + 2ab + b²
a^2+a^2+28a+196=676\ \ \ |-676\\\\2a^2+28a-480=0\ \ \ |:2\\\\a^2+14a-240=0\\\\a^2+24a-10a-240=0\\\\a(a+24)-10(a+24)=0\\\\(a+24)(a-10)=0\iff a+24=0\ \vee\ a-10=0\\\\a=-24 < 0\ \vee\ a=10
Answer: 10 ft and 24 ft.
3 0
3 years ago
Please help me with my math
Olin [163]

Answer:

x=115⁰

z=27⁰

Step-by-step explanation:

65+x=180 -> Due to same side interior being equal to 180 degrees

<u><em>x= 115</em></u>

x = 3z + 34 -> opposite interior being equal

115 = 3z + 34

81 = 3z

divide by 3 on both sides

<u><em>z=27</em></u>

3 0
2 years ago
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A cylinder with a height of 12 cm is inscribed in a sphere with a radius of 10 cm. Find the lateral area of the cylinder. Answer
zalisa [80]

Answer:

256π

Step-by-step explanation:

Given that:

The height of the cylinder: 12 cm

The radius of the sphere : 10

Let r is the radius of the cylinder, use Pytagon

10² = r² + 6²

<=> r²  = 10² - 6²  = 64

<=> r = 8

Hence,  the lateral area of the cylinder

L= 2πrh

= 2π8*16

= 256π

4 0
3 years ago
On Friday, Leslie sold 9 3/8 pitchers of lemonade from her lemonade stand. On Saturday, she sold 3 times as much lemonade as on
shtirl [24]

Answer:

28 1/8

Step-by-step explanation:

8 0
3 years ago
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