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3 years ago

Suppose m= 7, t = 20 and r = 35. what is t(m ÷ r)?

1 answer:

7 0

The answer is 4.
Here's how to solve it.

Remove parentheses:
=20 × 7/35
7/35 = 1/5

Cancel the common factor 7:
=1/5
=20 × 1/5

Multiply fractions:
1·20/5

Simplify:
20/5

Divide
20/5=4

Hope this helped! :)

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3. Diego drew a scaled version of a Polygon P and labeled it Q.

bogdanovich [222]

Answer:

The scale factor used to go from P to Q is 1/4

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x -----> area of polygon Q

y -----> area of polygon P

$z^{2}=\frac{x}{y}$

we have

$y=72\ units^2$

Find the area of polygon Q

Divide the the area of polygon Q in two triangles and three squares

The area of the polygon Q is equal to the area of two triangles plus the area of three squares

see the attached figure N 2

Find the area of triangle 1

$A=(1/2)(1)(2)=1\ units^2$

Find the area of three squares (A2,A3 and A4)

$A=3(1)^2=3\ units^2$

Find the area of triangle 5

$A=(1/2)(1)(1)=0.5\ units^2$

The area of polygon Q is

$x=1+3+0.5=4.5\ units^2$

Find the scale factor

$z^{2}=\frac{x}{y}$

we have $y=72\ units^2$

$x=4.5\ units^2$

substitute and solve for z

$z^{2}=\frac{4.5}{72}$

$z^{2}=\frac{1}{16}$

square root both sides

$z=\frac{1}{4}$

therefore

The scale factor used to go from P to Q is 1/4

6 0

3 years ago

Point Eis on line segment DF. Given DE = 8 and EF= 2, determine the length<br> DF.

julia-pushkina [17]

Step-by-step explanation:

if that's what you mean

6 0

3 years ago

Solve for x. 12(x+11) = 24

Mars2501 [29]

Answer:

x = -9

Step-by-step explanation:

First, divide both sides by 12 to isolate the expression, x + 11

12(x + 11)/12 = 24/12

x + 11 = 2

Then, subtract 11 from both sides

x + 11 = 2

- 11 - 11

x = -9

4 0

2 years ago

Read 2 more answers

The figure below shows a shaded rectangular region inside a large rectangle

Gekata [30.6K]

Answer:

42% i hope its right if not sorry

Step-by-step explanation:

4 0

2 years ago

5. A study found that the average time it took a person to find their dream home was 5.9 months. If a sample of

solong [7]

Answer:

The 95% confidence interval of the mean time it took a person to find their dream home is between 5.64 months and 6.16 months.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96\frac{0.8}{\sqrt{36}} = 0.26$

The lower end of the interval is the sample mean subtracted by M. So it is 5.9 - 0.26 = 5.64 months

The upper end of the interval is the sample mean added to M. So it is 5.9 + 0.26 = 6.16 months.

The 95% confidence interval of the mean time it took a person to find their dream home is between 5.64 months and 6.16 months.

4 0

3 years ago