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3 years ago

Can someone please help me with this math problem:)

Mathematics

2 answers:

kogti [31]3 years ago

7 0

Answer:

X = 24

Step-by-step explanation:

Since the two triangles are similar such that one is twice the other, twice of 9 is 18; and thus twice of 12 equals 24.

Dennis_Churaev [7]3 years ago

5 0

Answer:

x = 20

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{x}{12}$ = $\frac{15}{9}$ ( cross- multiply )

9x = 180 ( divide both sides by 9 )

x = 20

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Roy Gross is considering an investment that pays 7.6 percent, compounded annually. How much will he have to invest today so that

Debora [2.8K]

Answer: he should invest $16129 today.

Step-by-step explanation:

Let $P represent the initial amount that should be invested today. It means that principal,

P = $P

It would be compounded annually. This means that it would be compounded once in a year. So

n = 1

The rate at which the principal would be compounded is 7.6%. So

r = 7.6/100 = 0.076

The duration of the investment would be 6 years. So

t = 6

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years.

A = 25000

Therefore

25000 = P(1+0.076/1)^1×6

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4 0

3 years ago

Triangle has sides that measure 33 cm, 65 cm, and 56 cm. Is it a right triangle? Explain

Orlov [11]

Yes, by Pythagoras: Larguest side² = other side² + other side² (65²=33²+56²).

3 0

3 years ago

The dot plot displays the number of marshmallows added to hot cocoa by several kids. What is the MAD of the data represented in

Pie

Mean absolute deviation (MAD) of the data set indicates the average distance of all elements from mean of the data set.

MAD of the data represented by dot plot in the picture will be Option A.

Elements in the given dot plot are,

3, 4, 5, 5, 5, 5, 5, 5, 6, 7

Steps to be followed for the mean absolute deviation of this data set.

Find the mean of the data set
Find the absolute distance of each element from the mean
Find the average distance of all the elements which will be MAD of the data set.

Step - 1 :

Mean of the data set = $\frac{\text{Total of the data}}{\text{Total number of elements}}$

= $\frac{3+4+5+5+5+5+5+5+6+7}{10}$

= $\frac{50}{10}$

$=5$ (As shown on the dot plot)

Step - 2 :

Absolute distance of each element from the mean of the data set,

3 - 5 = |-2| = 2

4 - 5 = |-1| = 1

5 - 5 = 0

6 - 5 = 1

7 - 5 = 2

Step - 3 :

Average of the absolute distance = $\frac{2+1+0+0+0+0+0+0+1+2}{10}$

= $\frac{6}{10}$

= 0.6

Therefore, Option A will be the correct option.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

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Since the snacks are worth $25, it is deducted from the total

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3 years ago