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4 years ago

Solve the right triangle. State the side lengths to the nearest tenth and the angle measures to the nearest degree.

Mathematics

2 answers:

Elden [556K]4 years ago

8 0

Answer:

Option B

Step-by-step explanation:

The two acute angles of a right triangle are equal.

$\angle \: A + 18 = 180$

$\angle \: A= 90 - 18 = 72 \degree$

Recall the mnemonics SOH-CAH-TOA

The tangent ratio is opposite over adjacent.

$\tan(18) = \frac{AC}{21}$

$AC = 21 \tan(18)$

$AC = 6.8$

The sine ratio is opposite over hypotenuse

Using the sine ratio,

$\sin(72) = \frac{21}{AB}$

$AB = \frac{21}{ \sin(72) } = 22.1$

Eva8 [605]4 years ago

8 0

Answer:

it 55

Step-by-step explanation:

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460x23 in detail steps plase

prohojiy [21]

Answer:

10580

Step-by-step explanation:

use partition to get 3x460 and 20x460

20x460=2x4600=9200

3x460=1380

9200+1380=10580

7 0

2 years ago

Read 2 more answers

Is (2,2) in the solution set of y ≥ 9x - 8?

DaniilM [7]

No (2,2) isn’t a solution

y=2 and x=2
2>_ 9 (2)-8
2>_ 18-8
2>_ 10 this statement is false

8 0

3 years ago

A The integer with the greatest value is the one that has the greatest absolute value.

pentagon [3]

Answer: B The integer with the greatest value is one that is farthest from zero on the number line.

Step-by-step explanation: hope it correct :D

5 0

3 years ago

What is the volume of this sphere

ruslelena [56]

Answer:

3052.08 m³

Step-by-step explanation:

$\boxed{volume \: of \: sphere = \frac{4}{3}\pi {r}^{3} }$

Given that the radius is 9m, r=9.

Volume of sphere

$= \frac{4}{3} (3.14)(9^{3} )$

= 3052.08 m³

8 0

3 years ago

Read 2 more answers

20,10,5, ...<br> Find the 9th term.

iren [92.7K]

Answer:

0.078125.

Step-by-step explanation:

This is a geometric sequence with first term a1 = 20 and common ratio r = 10/20 = 5/10 = 0.5.

nth term = a1 r^(n -1) so here:

9th term = 20(0.5)^(9-1)

= 20(0.5)^8

= 0.078125.

6 0

2 years ago