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Lelechka [254]
3 years ago
13

Help me please guys. Determine the ratio in the picture below

Mathematics
1 answer:
Vinil7 [7]3 years ago
5 0

Answer:

Sin Z=30/50 or 3/5

Step-by-step explanation:

To figure out Sin Z, you need the formula which is Sin=o/h

O=opposite

H=Hypotenuse

To find opposite, you locate the angle(angle Z) and you draw an arrow that is opposite of the angle. To find hypotenuse, you pinpoint the right angle and you find the degree that it is opposite of.

O=30

H=50

Finally, you simplify 30/50 to get 3/5ths. Hope this helps you out!

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The drain in your 45-gallon bathtub is partially clogged, but you need to take a shower. The showerhead had a flow rate of 2.25
Vladimir [108]

Answer:

  25 minutes 42 seconds

Step-by-step explanation:

The tub will fill at the rate of ...

  2.25 gal/min - 0.50 gal/min = 1.75 gal/min

It will take ...

  45 gal/(1.75 gal/min) ≈ 25.714 min

for the tub to fill.

You can shower for about 25 minutes 42 seconds.

3 0
3 years ago
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Which two statements are both true?
Crazy boy [7]
The bottom one is the correct answer.
3 0
3 years ago
Alex makes $61,992 per year and pays about 25% of his gross monthly income in federal and state taxes. He wants to find an apart
ivanzaharov [21]

Answer:

Rent each month = $1421

Amount left after rent and taxes monthly = $2453

Step-by-step explanation:

Gross salary; $61,992 per year

His gross pay per month will be;

61992/12 = $5166

Now, the standard recommended rule in budgeting for house rent is to use between 25% to 30% of your monthly pay for rent.

Now, let's adopt an average of 27.5%

Thus;

Amount he can afford for rent each month = 27.5% × 5166 = $1420.65 ≈ $1421

We are told he pays 25% of his gross monthly income in federal and state taxes.

Thus, amount spent on taxes each month = 25% × 5166 = $1291.5 ≈ $1292

Thus, amount he will gave left after rent and taxes = 5166 - (1421 + 1292) = $2453

4 0
3 years ago
On his outward journey, Ali travelled at a speed of s km/h for 2.5 hours. On his return journey, he increased his speed by 4 km/
den301095 [7]

Answer:

3.08 km/h.

Step-by-step explanation:

We know that,

Speed=\dfrac{Distance}{Time}

Ali traveled at a speed of s km/h for 2.5 hours.

Let d be the distance and t be the time.

2.5=\dfrac{d}{t}

2.5t=d      ...(1)

On his return journey, he increased his speed by 4 km/h and saved 15 minutes. So, distance is d and times is t-15.

4=\dfrac{d}{t-15}

4(t-15)=d      ...(2)

From (1) and (2), we get

4(t-15)=2.5t

4t-60-2.5t=0

1.5t=60

t=40

Put t=40 in (1).

d=2.5(40)=100

So, t=40 and d=100.

Now,

Total distance = d + d = 100 + 100 = 200

Total time = t + t - 15 = 40 + 40 - 15 = 65

So, the average speed is

\text{Average speed}=\dfrac{\text{Total distance}}{\text{Total time}}

\text{Average speed}=\dfrac{200}{65}

\text{Average speed}\approx 3.08

Therefore, the average speed is 3.08 km/h.

3 0
4 years ago
I need help with this
DochEvi [55]

Answer: B. 8 x 10^3

Step-by-step explanation:

4 0
3 years ago
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