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3 years ago

Find the following ratios. Write each answer as a fraction and as a decimal rounded to four decimal places.

Mathematics

1 answer:

Alona [7]3 years ago

5 0

Answer:

$y = 56.6208$

Step-by-step explanation:

Given

The attached triangle

Required

Find y

To find y, we make use of the relationship between sides lengths 44 & y and angle 39

The relationship is:

$cos(39) = \frac{44}{y}$

i.e.

$cos(\theta) = \frac{Adjacent}{Hypotenuse}$

Make y the subject

$y = \frac{44}{cos(39)}$

$y = \frac{44}{0.7771}$

$y = 56.6208$ -- approximated

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Pre image ABCD was dilated to be image A’B’C’D, where the center of dilation is the origin. What scale factor was used in the di

ArbitrLikvidat [17]

Answer:

The scale factor is 0.25

Step-by-step explanation:

we know that

The dilation is a non-rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

ABCD and A'B'C'D' are similar

therefore

$\frac{A'B'}{AB}=\frac{B'C'}{BC}=\frac{C'D'}{CD}=\frac{A'D'}{AD}$

Find the scale factor

Looking at the graph

we have

$A'B'=1\ unit\\AB=4\ units$

Let

z ---> the scale factor

$z=\frac{A'B'}{AB}$

substitute the values

$z=\frac{1'}{4}=0.25$

8 0

2 years ago

It's 2:22 in the morning for me. I'm tired but my dreams scare me. I have a huge Math anet (Test) in 6 hours. I already understa

KonstantinChe [14]

First, the best advice I can give you is to go to sleep. You pretty much know what you know, and being well-rested will help you think clearly, recall details, and avoid careless mistakes.

1)
$=(5 \times 10^3)+(2 \times 10^2)=(50 \times 10^2)+(2 \times 10^2)\\=10^2(50+2)=52 \times 100 = 5200 = 5.2 \times 10^3$

2)

$=(5 \times 10^2) \times (5 \times 10^3)=5^2 \times 10^5 \\= 25 \times 100,000 = 2,500,000 = 2.5 \times 10^6$

3) Yes, dilating with a scale factor that is less than 1 (and greater than 0) corresponds to a decrease.

4) Yes, dilating with a scale factor greater than 1 corresponds to an increase.

5) To find the slope of a scatter plot, you need to make a line of best fit, that is, the line that passes through as many points as possible and has about as many points above it as below it. Then, find two of those points that the line passes through and calculate the slope between those points. For two points $(x_1,y_1)$ and $(x_2,y_2)$ , the slope is
$m= \dfrac{y_2-y_1}{x_2-x_1}$ .

This is an estimate. To find a better approximation, you can use the least-square method, but I think that probably involves higher-level math that you don't need. If you think you do need to solve it this way, just comment here and I'll explain it. Note that you can also calculate it using Microsoft Excel or a regression plot on a graphing calculator.

6 0

2 years ago

EASY QUESTION<br><br> Focus on question 5

Elza [17]

Answer:

84 cm^3

14080 cm^3

81 cm^3

Step-by-step explanation:

Remember the formulas for volume, and you're golden.

a) V(prism) = area of base * height

= 12 cm^2 * 7 cm = 84 cm^3

b) V(prism) = area of base * height

= 88 cm^2 * 160 cm = 14080 cm^3

c) V(cylinder) = area of base * height

= 54 cm^2 * 1.5 cm = 81 cm^3

7 0

2 years ago

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10. The expression 3(2+x) is a product of the factors 3 and

Trava [24]

Answer:

Step-by-step explanation:

10. 2 ( 3 times 2 = 6, The three and two are both factors)

11. 3(2+x)= 6+3x If you do distributive property you have to multiply times 3 of everything in the parentheses

12. I don't see the image sorry.

4 0

3 years ago

Find the tangent of each acute angle.

Grace [21]

Answer:

answer is below

Step-by-step explanation:

tan p = 32/24 = 4/3

tan q= 24/32 = 3/4

4 0

2 years ago

Read 2 more answers