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Dominik [7]
3 years ago
15

Plz help me asapppppppp

Mathematics
1 answer:
Elena-2011 [213]3 years ago
5 0

Answer:

7. x = 37.5

8. x = 8

Step-by-step explanation:

7. The sides of the triangles are proportional, therefore:

x/20 = (46 - 16)/16

x/20 = 30/16

Cross multiply

x*16 = 30*20

16x = 600

Divide both sides by 16

x = 600/16

x = 37.5

8. The sides of the triangles are proportional. Therefore,

(7x - 1)/22 = (3x + 1)/10

Cross multiply

10(7x - 1) = 22(3x + 1)

70x - 10 = 66x + 22

Collect like terms

70x - 66x = 10 + 22

4x = 32

4x/4 = 32/4

x = 8

You might be interested in
A jet plane travels 2 times the speed of a commercial airplane. The distance between Vancouver
Romashka [77]

Answer:

The time of a commercial airplane is 280 minutes

Step-by-step explanation:

Let

x -----> the speed of a commercial airplane

y ----> the speed of a jet plane

t -----> the time that a jet airplane takes  from Vancouver to Regina

we know that

The speed is equal to divide the distance by the time

y=2x ----> equation A

<u><em>The speed of a commercial airplane is equal to</em></u>

x=1,730/(t+140) ----> equation B

<u><em>The speed of a jet airplane is equal to</em></u>

y=1,730/t -----> equation C

substitute equation B and equation C in equation A

1,730/t=2(1,730/(t+140))

Solve for t

1/t=(2/(t+140))

t+140=2t

2t-t=140

t=140 minutes

therefore

The time of a commercial airplane is

t+140=140+140=280 minutes

6 0
4 years ago
(ii) A peacock is sitting on the tree and observes its prey on
Paraphin [41]

Answer:

74.8 m

Step-by-step explanation:

We are given that

\theta=22^{\circ}

Speed of peacock,v=10 km/h

Time,t=1 min 12 sec=60+12=72 s=\frac{72}{3600}=0.02 h

1 hour=3600 s

Distance=vt=10\times 0.02=0.2 km=0.2\times 1000=200 m

Using 1 km=1000 m

We know that

sin\theta=\frac{Perpendicular\;side}{hypotenuse}

Using the formula

sin22=\frac{h}{200}

h=200sin22=200\times 0.374=74.8 m

Hence, the peacock was at height  of 74.8 m on the tree.

3 0
3 years ago
5x = 30 what is that
Zanzabum
5x is a short term for 5x X, so u just need to do 30/5 and that is what x equals.
8 0
4 years ago
What is the definition of exponential decay?
Lina20 [59]
When a population or group of something is declining, and the amount that decreases is proportional to the size of the population.
Have a good day!!
6 0
3 years ago
Read 2 more answers
X+7/2=-1<br> (Show all work)
gregori [183]

Answer:

x +  \frac{7}{2}  =  - 1 \\ x =  - 1 -  \frac{7}{2}  \\ x =  \frac{ - 2 - 7}{2}  \\ x =  \frac{ - 9}{2}  \\

I hope this help you

6 0
3 years ago
Read 2 more answers
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