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Zina [86]
3 years ago
6

13 liters is approximately

Mathematics
2 answers:
Bas_tet [7]3 years ago
4 0
It is approximately 3.5 gallons.
Elodia [21]3 years ago
4 0
It's about 3.4 gallons
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Find x round your answer to the nearest integer.
daser333 [38]

Answer:

C

Step-by-step explanation:

Note that <em>x</em> is opposite to the given angle and we are also given the hypotenuse.

Since we have an angle and the side opposite to it and the hypotenuse, we can use the sine ratio. Recall that:

\displaystyle \sin \theta =\frac{\text{opposite}}{\text{hypotenuse}}

The opposite side is <em>x</em>, the hypotenuse is 15, and the angle is 53. Substitute:

\displaystyle \sin 53^\circ = \frac{x}{15}

Solve for <em>x: </em>

<em />x=15\sin 53^\circ<em />

Use a calculator (make sure you're in Degrees Mode!). Hence:

x=11.9795...\approx 12

Our answer is C.

4 0
3 years ago
Read 2 more answers
Find a value of x that is a solution to 5(x – 3) = x + 13. Describe how you found the solution.
Ann [662]

Answer:

x=7

because distributive property and addition and subtraction

7 0
3 years ago
Read 2 more answers
ANSWER ASAP ITS FOR FINALS
Roman55 [17]

Answer:

9. 66°

10. 44°

11. 2\sqrt{7}

12. 2\sqrt{3}

13. 27.3

14. 33.9

15. 22°

16. 24°

Step-by-step explanation:

9. Add 120 + 80 (equals 200) and subtract that from 360 (Because all angles in a quadrilteral add to 360°), this equals 160. Plug the same number in for both variables in the two other angle equations until the two angles add to 160. For shown work on #9, write:

120 + 80 = 200

360 - 200 = 160

12(5) + 6 = 66°

19(5) - 1 = 94°

94 + 66 = 160

10. Because the two sides are marked as congruent, the two angles are as well. This means the unlabeled angle is also 68°. The interior angles of a triangle always add to 180°, so add 68+68 (equals 136) and subtract that from 180, this equals 44. For shown work on #10, write:

68 x 2 = 136

180 - 136 = 44

11. Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #10, write:

a² + b² = c²

a² + 6² = 8²

a² + 36 = 64

a² = 28

a = \sqrt{28}

a = 2\sqrt{7}

12. (Same steps as #11) Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #11, write:

a² + b² = c²

a² + 2² = 4²

a² + 4 = 16

a² = 12

a = \sqrt{12}

a = 2\sqrt{3}

13. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #13, write:

Sin(47°) = \frac{20}{x}

x = 27.3

14. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #14, write:

Tan(62°) = \frac{x}{18}

x = 33.9

15. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #15, write:

cos(θ) = 52/56

θ = cos^-1 (0.93)

θ = 22°

16. (Same steps as #15) Use SOH CAH TOA and solve with a scientific calculator. For shown work on #16, write:

sin(θ) = 4/10

θ = sin^-1 (0.4)

θ = 24°

Good luck!!

8 0
2 years ago
Find the real solution(s) by solving for x (round any decimals to the nearest 100th);<br> 5x = 320
baherus [9]

Answer:

x=64

Step-by-step explanation:

5x = 320

Divide each side by 5

5x/5 = 320/5

x=64

6 0
3 years ago
Read 2 more answers
64. Denise wants to burn at least 5000 calories a week through running. Based on her running speed, she estimates that she can b
Rudiy27

An inequality that represents Denise's goal in terms of the number of hours spent running 'h'

550h\leq 5000

Given :

Denise wants to burn at least 5000 calories a week through running.

she can burn 550 calories per hour

Let 'h' be the number of hours spent

In 1 hour  she can burn  550 calories

In 'h' hours she can burn 550h calories

Given that she want to burn atleast 5000 calories in a week

Burn atleast 5000 calories means <=5000 calories

So , the inequality that represents Denise's goal is

calories burn in h hours  <= 5000 calories

550h\leq 5000

Learn more :  brainly.com/question/381815

5 0
2 years ago
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