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3 years ago

Find the cosine of <G

Mathematics

1 answer:

Zinaida [17]3 years ago

3 0

Answer:

cos G = 3/5

Step-by-step explanation:

cos = adjacent sides/ hypotenuse

cos G = FG/ GE

cos G = 3/5

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exis [7]

Answer:

Part 1) The length of the longest side of ∆ABC is 4 units

Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is $\frac{1}{100}$

Step-by-step explanation:

Part 1) Find the length of the longest side of ∆ABC

we know that

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

The ratio of its perimeters is equal to the scale factor

Let

z ----> the scale factor

x ----> the length of the longest side of ∆ABC

y ----> the length of the longest side of ∆DEF

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

we have

$z=\frac{1}{10}$

$y=40\ units$

substitute

$\frac{1}{10}=\frac{x}{40}$

solve for x

$x=(40)\frac{1}{10}$

$x=4\ units$

therefore

The length of the longest side of ∆ABC is 4 units

Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF

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 ----> the area of ∆ABC

y ----> the area of ∆DEF

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

we have

$z=\frac{1}{10}$

$z^2=(\frac{1}{10})^2$

$z^2=\frac{1}{100}$

therefore

The ratio of the area of ∆ABC to the area of ∆DEF is $\frac{1}{100}$

3 0

3 years ago

Figure out the pattern, fill in the blank square.

Cloud [144]

Answer:448

Step-by-step explanation:

So to start,you can see that 8 times 2 is 16.And 16 times 4 is 64.So the pattern is times 2 then times 4 then times 6.On the edges you can see 64.You multiply 64 by 6 and you get 384.Then you multiply 8 times 6 that equals 48.And you multiply 4 times 4 and get 16.After you add 384 and 48 which equals 432.And then your done.(I think that's the answer)

3 0

3 years ago

At the bank, Sheila made 5 deposits, each in the same amount. Her sister Sherri made 4 deposits, each in the same amount. Each o

irinina [24]

The equation would be 4y=5x 4(x+15)=5x x+15=y

let x be the amount that Shelia deposits each time

let y represent the amount that Sherri deposits each time

4(x+15)=5x

4x+60=5x

-4x -4x

60=x

Check:

x+15=y 60+15=y y=75

4(75)=5(60)

300=300

Shelia deposits $60 each time.

5 0

3 years ago

Read 2 more answers

A student scored 66 points on his Psychology 101 midterm. If the average of his midterm and final must be between 78 and 90 incl

masha68 [24]

Answer:

range of scores on final exam student get B is 90 to 100

Step-by-step explanation:

given data

Psychology 101 score = 66

average of his midterm = between 78 and 90

maximum = 100 points

to find out

range of scores on final exam student get B

solution

we consider here lowest marks need in final = x

so average at two marks should be

equation is

average marks = 0.5 × ( mid term marks + final marks ) .................1

put here value

78 = 0.5 × ( 66 + x )

x = 90

and

90 = 0.5 × ( 66 + x )

x = 114

so range 90 to 114

but maximum marks is 100 so

range of scores on final exam student get B is 90 to 100

5 0

3 years ago

How do I solve this using substitution?

oksano4ka [1.4K]

Answer :y=4 x=2

Step-by-step explanation:

8 0

3 years ago

Find the cosine of <G​

Find the cosine of <G