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mrs_skeptik [129]
3 years ago
8

Help me please im confused on this

Mathematics
1 answer:
Lesechka [4]3 years ago
7 0

Answer:

The attached diagram shows that there are only two remote interior angles among the six. Among the six given, the correct remote interior angles are 1 and 3. The other angles in the diagram are not distant interior angles. I hope the answer has been of assistance to you. Have a good day!

A brainliest would be very appreciated!

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The volume of a cone is 16 pi cubic inches. Its height is 12 inches. What is the radius of the cone? 2 in. 4 in. 12 in. 16 in.
mart [117]

The radius of cone is 2 inches

<em><u>Solution:</u></em>

<em><u>The volume of cone is given by formula:</u></em>

V = \frac{\pi r^2h}{3}

Where,

"V" is the volume of cone

"r" and "h" are the radius and height of cone respectively

Given that, volume of a cone is 16 pi cubic inches

Its height is 12 inches

Therefore, we get,

V = 16 \pi cubic inches

h = 12 inches

r = ?

<em><u>Substituting the values in formula, we get</u></em>

16 \pi = \frac{ \pi \times r^2 \times 12}{3}\\\\16 = 4r^2\\\\r^2 = 4\\\\r = \pm 2

Since, radius cannot be negative, ignore r = -2

Thus radius of cone is 2 inches

8 0
3 years ago
Read 2 more answers
Please help and tell me why you got that answer, will mark brainliest
Georgia [21]

Answer:

The answer is G.

Step-by-step explanation:

When comparing G with the other 3 options, ONLY G hasn't ran more than 6 miles; the rest all options show that he ran more miles in few minutes.

5 0
3 years ago
Read 2 more answers
Solve the equation.<br>-Эх + 1 = -x+ 17​
makkiz [27]

Answer:

x = -8. solve by balancing the equation.

Step-by-step explanation:

-2x = 16

x = -8

5 0
3 years ago
: Below are two expressions. Simplify each and then choose the statement that is true.
fgiga [73]
First, what we should do is simplify both expressions.
 We have then:

 Expression 1:
 
(3x2) 3x ^ 2
 (9x ^ (2 + 2))
 9x ^ 4
 Expression 2:
 (3x ^ 3) ^ 2 (x ^ 2)
 (9x ^ 6) (x ^ 2)
 (9x ^ (6 + 2))
 9x ^ 8
 Answer: 
 The exponents on Expression # 2 are greater than the exponents of Expression # 1.
 (8> 4)
5 0
3 years ago
Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place.) a = 3.0, b = 4.0, C = 58°
KATRIN_1 [288]

Answer

A = 46.3°

B = 75.7°

c = 3.5

Explanation

We will be using both Cosine and Sine rule to solve this.

For Cosine rule,

If a triangle ABC has angles A, B and C at the points of the named vertices of the tringles with the sides facing each of these angles tagged a, b and c respectively, the Cosine rule is given as

c² = a² + b² - 2ab Cos C

a = 3.0

b = 4.0

C = 58°

c² = 3² + 4² - 2(3)(4)(Cos 58°)

c² = 9 + 16 - (24)(0.5299)

c² = 25 - 12.72 = 12.28

c = √12.28 = 3.50

To find the other angles, we will now use Sine Rule

If a triangle ABC has angles A, B and C at the points of the named vertices of the tringles with the sides facing each of these angles tagged a, b and c respectively, the sine rule is given as

\frac{\text{ Sin A}}{a}=\frac{\text{ Sin B}}{b}=\frac{\text{ Sin C}}{c}

So, we can use the latter parts to solve this

\frac{\text{ Sin B}}{b}=\frac{\text{ Sin C}}{c}

B = ?

b = 4.0

C = 58°

c = 3.5

\begin{gathered} \frac{\text{ Sin B}}{4}=\frac{\text{ Sin 58}\degree}{3.5} \\ \text{ Sin B = }\frac{4\times\text{ Sin 58}\degree}{3.5}=0.9692 \\ B=Sin^{-1}(0.9692)=75.7\degree \end{gathered}

We can then solve for Angle A

The sum of angles in a triangle is 180°

A + B + C = 180°

A + 75.7° + 58° = 180°

A = 180° - 133.7° = 46.3°

Hope this Helps!!!

7 0
1 year ago
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