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1 year ago

The triangles are similar. Find the value of x.

Mathematics

2 answers:

Assoli18 [71]1 year ago

7 0

Answer:

Explanation:

You just need to find the ratio of lengths of one of the sides and apply it to the unknown side:

This means that the triangle on the right has sides that are 3 times the length of the smaller triangle.

Answer link

Alex777 [14]1 year ago

4 0

Answer:

x = 36

Step-by-step explanation:

Remark

This can be done as a proportion. A proportion consists of 2 ratios which means it has 4 parts. If you know three of them, you can solve for the 4th.

We can use the following proportion

42/14 = x / 12 Notice that both ratios have tops and bottoms that use corresponding parts. Cross Multiply

14*x = 42 * 12 Combine the right

14x = 504 Divide by 14

x = 504/14

x = 36

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Shawna invests $5,048 in a savings account with a fixed annual interest rate of 4% compounded 12 times per year. How long will i

Elena-2011 [213]

Answer:

5 years

Step-by-step explanation:

In the question we are given;

Amount invested or principal amount as $5048
Rate of interest as 4% compounded 12 times per year
Amount accrued as $6,163.59

We are required to determine the time taken for the money invested to accrue to the given amount;

Using compound interest formula;

$A=P(1+\frac{r}{100})^n$

where n is the interest period and r is the rate of interest, in this case, 4/12%(0.33%)

Therefore;

$6,163.59=5,048(1+\frac{0.333}{100})^n$

$1.221=(1+\frac{0.333}{100})^n$

$1.221=(1.0033)^n$

introducing logarithms on both sides;

$log1.221=log(1.0033)^n\\n=\frac{log1.221}{log1.0033} \\n=60.61$

But, 1 year = 12 interest periods

Therefore;

Number of years = 60.61 ÷ 12

= 5.0508

= 5 years

Therefore, it will take 5 years for the invested amount to accrue to $6163.59

3 0

2 years ago

A cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shif

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