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Lyrx [107]
3 years ago
8

Q8: These Triangles are similar. What is the value of X?

Mathematics
1 answer:
Umnica [9.8K]3 years ago
3 0

Answer:

The answer to your question is x = 15

Step-by-step explanation:

Use proportions to solve this problem

                              \frac{x}{20} = \frac{12}{16}

Solve for "x"

                                          x = \frac{12(20)}{16}

Simplification

                                          x = \frac{240}{16}

Result

                                         x = 15                                                  

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The cheetah is the fastest land animal, capiable of attaining a speed of 110 km/h. In August 2009 , the world record for the men
lozanna [386]

Answer:

About 3 times faster

Step-by-step explanation:

Cheetah's speed = 110 km / hr

World 100m sprint record :

Speed of sprinter :

Distance / time

100 m / 9.58s

= 10.438413 m/s

Convert Cheetah's speed to m/s

110 km/hr = (110 * 1000)m / (60 * 60 s)

= 110000 m / 3600 s

= 30.55555 m/s

Number of times cheetah is faster than sprinter :

30.55555 m/s ÷ 10.438413 m/s

= 2.927 times

5 0
3 years ago
Two different cars each depreciate to 60% of their respective original values. The first car depreciates at an annual rate of 10
zvonat [6]

The approximate difference in the ages of the two cars, which  depreciate to 60% of their respective original values, is 1.7 years.

<h3>What is depreciation?</h3>

Depreciation is to decrease in the value of a product in a period of time. This can be given as,

FV=P\left(1-\dfrac{r}{100}\right)^n

Here, (<em>P</em>) is the price of the product, (<em>r</em>) is the rate of annual depreciation and (<em>n</em>) is the number of years.

Two different cars each depreciate to 60% of their respective original values. The first car depreciates at an annual rate of 10%.

Suppose the original price of the first car is x dollars. Thus, the depreciation price of the car is 0.6x. Let the number of year is n_1. Thus, by the above formula for the first car,

0.6x=x\left(1-\dfrac{10}{100}\right)^{n_1}\\0.6=(1-0.1)^{n_1}\\0.6=(0.9)^{n_1}

Take log both the sides as,

\log 0.6=\log (0.9)^{n_1}\\\log 0.6={n_1}\log (0.9)\\n_1=\dfrac{\log 0.6}{\log 0.9}\\n_1\approx4.85

Now, the second car depreciates at an annual rate of 15%. Suppose the original price of the second car is y dollars.

Thus, the depreciation price of the car is 0.6y. Let the number of year is n_2. Thus, by the above formula for the second car,

0.6y=y\left(1-\dfrac{15}{100}\right)^{n_2}\\0.6=(1-0.15)^{n_2}\\0.6=(0.85)^{n_2}

Take log both the sides as,

\log 0.6=\log (0.85)^{n_2}\\\log 0.6={n_2}\log (0.85)\\n_2=\dfrac{\log 0.6}{\log 0.85}\\n_2\approx3.14

The difference in the ages of the two cars is,

d=4.85-3.14\\d=1.71\rm years

Thus, the approximate difference in the ages of the two cars, which  depreciate to 60% of their respective original values, is 1.7 years.

Learn more about the depreciation here;

brainly.com/question/25297296

4 0
2 years ago
PLEASE HELP ASAP
pishuonlain [190]
You have that:

 1. By definition, a binomial is a polynomial formed by two terms. 
 2. A quintic binomial is a binomial of degree 5. This means that its highest exponent is 5.
 3. Keeping this on mind, you must identify which binomial has degree 5.
 4. As you can see, the expression <span>3x^5+2 is a binomial, because it has two terms and the highest degree is 5.
 5. Thefore, the answer is: </span>3x^5+2
8 0
3 years ago
Helppppppppp please and thank you in advance
bulgar [2K]

Answer:

\the second and third one

6 0
3 years ago
Brad bought a used bike for $8 more than half of its original price. Brad paid $40 for the bike. What was the original price?
Viefleur [7K]

\huge\boxed{\$64}

Start by writing a formula, where x is Brad's purchase price and y is the original price.

40=8+\frac{y}{2}

Subtract 8 from both sides.

32=\frac{y}{2}

Multiply both sides by 2.

\boxed{64}=y

7 0
3 years ago
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