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densk [106]
3 years ago
11

Find the missing side

Mathematics
1 answer:
dybincka [34]3 years ago
6 0

Answer:

7) 8.94

8) 6.71

Step-by-step explanation:

for both questions, use pythagorean theorem

a^{2} + b^{2} = c^{2}

<u>Question 7:</u>

4^{2} + 8^{2} = c^{2}

16 + 64 = c^{2}

80 =  c^{2}

\sqrt{80} = \sqrt{c^{2}}

c = 8.94

<u>Question 8:</u>

6^{2} + 3^{2} = c^{2}

36 + 9 = c^{2}

45 = c^{2}

\sqrt{45} = \sqrt{c^{2} }

c = 6.71

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we are given the expression csc (2 pi / 3 ) and is asked to evaluate the expression. According to the trigonometric identities, the inverse of cosecant (CSC) is sine (sin) function. hence using the calculator in radians mode, sin 2pi/3 is equal to 2/sqrt 3. Taking the reciprocal of the answer, the final answer is 2 sqrt3 over 3.
8 0
3 years ago
Kinda stuck and would like help
Stella [2.4K]
Answer: See below

Explanation:

8x + 14 = 10x - 10 (alt. exterior angle)
8x - 10x = -10 - 14
-2x = -24
x = -24/-2
x = 12

Now plug x = 12 in 10x - 10 to find the angle:

10(12) - 10 = 120 - 10 = 110 degree
6 0
3 years ago
Read 2 more answers
Which of the following is not a method used to prove triangles congruent
RSB [31]
Your answer is D. SSA Postulate because it doesn't exist!
3 0
3 years ago
J is the Midpoint of Segment MN. If MJ=23, Find MN.​
Helga [31]

Answer:

46?

Step-by-step explanation:

7 0
3 years ago
Please help. Thank you!
katrin2010 [14]

Answer:

3a. ⇒ 2700 cm³

3b. ⇒ 72,900 cm³

3c. ⇒ 27

Step-by-step explanation:

3a.

∵ The model in a shape of square pyramid

∴ Its volume = base area × height

∵ Base shaped square with side length 15 cm

∴ Area of base = 15 × 15 = 225 cm²

∵ The model height = 12 cm

∴ She needs = 225 × 12 = 2,700 cm³ of plaster

3b.

∵ Each dimension in the actual stage = 3 times the model

∴ The side of the square base = 15 × 3 = 45 cm

∴ The height = 12 × 3 = 36 cm

∴ The area of the base = 45 × 45 = 2,025 cm²

∴ She needs = 2025 × 36 = 72,900 cm³ of plaster

3c.

∵ Each length in the actual stage is 3 times the model

∴ The volume of the actual stage = (3)³ the volume of the model

∴ The volume of the actual stage = 27 the volume of the model

<em>To check your answer:</em>

Volume actual ÷ Volume model = 72,900 ÷ 2700 = 27

3 0
3 years ago
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