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GarryVolchara [31]
3 years ago
12

Please help me . Find x.

Mathematics
1 answer:
Paladinen [302]3 years ago
6 0

Answer:

12) 5.96 ; 13)

Step-by-step explanation:

12). x and 5 are legs, so

opposite leg/adjacent leg = tangent 40°

5/x= tan40°,    5= x*tan40°, x= 5/tan40° ≈ 5.96

13). 15 is opposite leg

24 is hypotenuse

opposite leg/hypotenuse = sin(x)

sin(x) = 15/24

x = arcsin(15/24) ≈ 38.68°

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A company made a profit of $75,000 over a period of 6 years on an initial investment of $15,000. What is its annaualized ROI?
alekssr [168]
Annual profit=75,000÷6=12,500


ROI=12,500÷15,000=0.8333×100
=83.33%
5 0
3 years ago
What is 3 3/4 x (-2/5) ?
Andrej [43]

Answer:

-1 1/2

Step-by-step explanation:

6 0
3 years ago
If the measure of a triangle are in the ratio 2:5:5. What is the measure of the angle
Sphinxa [80]
Your answer is 75°, 75°, and 30°
Because you know that angles in a triangle equal 180°, you can find what 1 in terms of the ratio is by adding 2, 5, and 5, and then dividing 180 by that value. 2 + 5 + 5 = 12, so 180 ÷ 12 = 15.
Now that you know that 1 in terms of the ratio is 15, you can multiply 15 by the ratio values, so
15 × 2 = 30°
15 × 5 = 75°
15 × 5 = 75°

I hope this helps!
5 0
4 years ago
in a school gym, the ratio of the number of boys to the number of girls was 4:3 . after 160 boys left the gym, the ratio became
Annette [7]

Answer:

300 girls were there in the gym.

Step-by-step explanation:

Given:

The ratio of the number of boys to the number of girls was 4:3, after 160 boys left the gym, the ratio became 4:5.

Now, to find the number of girls in the gym.

The girls in the gym does not left, their quantity is same before and after.

So, we multiply the both ratios to make the girls ratio same:

4:3 × 5 = 20:15

4:5 × 3 = 12:15

Now, <em>we find the units of the ratio</em>.

<em>The ratio of boys dropped down by 160</em>:

20 - 12 = 8 units.

160 = 8 units

Now, dividing both sides by 8 we get:

20 = 1 unit

So, 1 unit = 20.

Now, girls = 15 units

So, 15 × 20 = 300.

Therefore, 300 girls were there in the gym.

3 0
4 years ago
while observing the fare meter in a taxi, a student records the following data: reading on taxi fare meter time (minutes) meter
mario62 [17]
(0,5.25)(10,13.75)
slope(m) = (y2 - y1) / (x2 - x1)
slope(m) = (13.75 - 5.25) / (10 - 0) = 8.5/10 = 0.85

y = mx + b
(0,5.25)...x = 0 and y = 5.25
slope(m) = 0.85
now we sub, we r looking for b, the y int
5.25 = 0.85(0) + b
5.25 = b

so ur equation is : y = 0.85x + 5.25 or C(t) = 0.85t + 5.25 <==

cost of a 12 min taxi ride.....sub in 12 for t
C(t) = 0.85t + 5.25
C(12) = 0.85(12) +5.25
C(12) = 10.20 + 5.25 = 15.45 
so a 12 min ride would cost u : $ 15.45 <==
5 0
4 years ago
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