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3 years ago

How do you do this?

Mathematics

2 answers:

lora16 [44]3 years ago

6 0

X/5 = 24/8
(because the triangles are similar)

x/5 = 3

x = 5*3 = 15 Answer

a/27 = 8/24 = 1/3
a = 9 Answer

astraxan [27]3 years ago

3 0

3)a/8 = 27/24 => a = 8*27/24 = 9

x/24 = 5/8 => x = 24*5/8 = 15

4)C≡X, A≡Z, B≡Y

5)C=2πR=15π=>R=7,5

A = πR² = 56,25π cm²

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Solving Exponential Equations (lacking a common base) (0.66)^k=9

Alexandra [31]

Answer:

k = log9 / log 0.66

k = 5.3

Step-by-step explanation:

Please always remember that, when an exponential equation is given with different bases, the best approach is to take log of both sides.

If you have a calculator handy, that would be pretty fast and easy.

0.66 ^ k = 9

Take log of both sides:

klog 0.66 = log 9

k = log 9 / log 0.66

k = 0.954 / - 0.18

k = -5.3

Maths is fun, let's keep learning

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3 years ago

Mike was in charge of a special sports day at the Community Center. A company donated 50 boxes of ice cream bars, with 12 bars i

Anna007 [38]

The right answer is Option D.

Step-by-step explanation:

Boxes of ice cream received = 50

Ice-creams in each box = 12

Total ice-cream bars = No. of boxes * Ice cream bars in each box

Total ice-cream bars = $12*50=600$

No. of people who had ice cream bars = 520

Ice-cream bars left = Total ice cream bars - No. of people who had ice cream

Ice cream bars left = $600-520=80$

80 ice cream bars were left.

The right answer is Option D.

Keywords: multiplication, subtraction

Learn more about subtraction at:

#LearnwithBrainly

8 0

3 years ago

A professor at a university wants to estimate the average number of hours of sleep the students get during exam week. The profes

balandron [24]

Answer:

The sample size is $n = 2$

Step-by-step explanation:

From the question we are told that

The margin of error is E =4.266

The standard deviation is $\sigma = 2.539$

From the question we are told the confidence level is 99% , hence the level of significance is

$\alpha = (100 - 99 ) \%$

=> $\alpha = 0.01$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 2.58$

Generally the sample size is mathematically represented as

$n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2$

=> $n = [\frac{2.58 * 2.539 }{4.266} ] ^2$

=> $n = 2$

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3 years ago

Find the area of figure 1. a -12 units2 b- 14 units2 c- 8 units2 d- 10 units2

Brilliant_brown [7]

Answer:

Step-by-step explanation:

if you look at the chart. it goes up five and has a width of 2. multiply 5 x 2 = you get 10

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2 years ago

Read 2 more answers

Which decimal is equivalent to 25/6?

Marysya12 [62]

Answer:

4.166666667

Step-by-step explanation:

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3 years ago

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