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Dennis_Churaev [7]
2 years ago
10

Please help ASAP!!!!!!!

Mathematics
1 answer:
kolezko [41]2 years ago
8 0

Answer: the length of the base is 50 cm

Step-by-step explanation:

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For the parallelogram, fond the value of the variables. Show your work.
lisabon 2012 [21]

For this case, the first thing you should know is that the opposite sides of the parallelogram are the same.

Therefore, we have the following equations:

3y-6 = 21\\5x + 2 = 17

From equation 1 we have:

3y = 21 + 6\\3y = 27

y = \frac{27}{3}\\y = 9

From equation 2 we have:

5x = 17 - 2\\5x = 15

x = \frac{15}{5}\\x = 3

Answer:

the value of the variables are:

y = 9\\x = 3

3 0
3 years ago
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how much would $100 invested at 8% interest compounded annually be worth after 15 years? Round your answer to the nearest cent.
svet-max [94.6K]
To calculate problems abound about compounding interest use the equation <span>A = P (1 + r/n)^<span>(nt), where A is the future price, P is the principal amount, r is the interest rate, n is the number of times the interest is compounded per year and t for the total years. To solve, A = 100 (1 + 0.08/1)^(1 x 15) = 317.22.</span></span>
5 0
3 years ago
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3x-1/5=x+1/3 solve for x
Maru [420]

Answer:

x = 2

Step-by-step explanation:

First, you cross multiply then that will give you

9x - 3 = 5x + 5

collect like terms

9x - 5x = +5 + 3

= 4x = 8

Divide both sides by the coefficient of x that's 4

= 2

6 0
3 years ago
40% of the students passed both exams. 80% of the students passed the second exam. how many students (in percent) who passed the
navik [9.2K]

50%. students (in percent) who passed the second exam also passed the first exam.

Let's imagine that there are 100 kids in the teacher's class. We know that 40 of them passed BOTH tests, and 80 passed the second test.

Because if they weren't, they wouldn't have passed the first test and consequently wouldn't have passed both, we can be sure that the group of students who passed BOTH tests is only made up of the 80 who passed the second test.

Thus, both tests were passed by 40 of the 80 pupils who passed the second one:                                      

40/80 = 1/2 = 50%.

Find out more on Percentage at:

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7 0
1 year ago
One of the loudest sounds in recent history was that made by the explosion of Krakatoa on August 26-27, 1883. According to barom
liraira [26]

Answer:

150.51 dB

Step-by-step explanation:

Data provided in the question:

decibel level of sound at 161 km distance = 180 dB

d₁ = 161 km

d₂ = 4800 km

I₁ = 180 db

The formula for intensity of sound is given as:

I = 10\log(\frac{I_2}{I_1})

and the relation between intensity and distance is given as:

I ∝ \frac{1}{d^2}

or

Id² = constant

thus,

I₁d₁² = I₂d₂²

or

\frac{I_2}{I_1}=\frac{d_1}{d_2}

therefore,

I = 10\log(\frac{d_1}{d_2})^2

or

I = 10\times2\times\log(\frac{161}{4,800})

or

I = 20 × (-1.474)

or

I = -29.49

Therefore,

the decibel level on Rodriguez Island, 4,800 km away

= 180 - 29.49

= 150.51 dB

8 0
3 years ago
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