Square EFGH will be translated 3 units up and 5 units right. What will be the coordinates of the image point F?

9514 1404 393

Answer:

  18 cm^2

Step-by-step explanation:

Under the given constraints, the way to find the area of this triangle is to use a triangle solver app or web site. The attached shows the area is 18 cm^2.

_____

A simple way to find the area is to use the cosine function to find side AC adjacent to the 75° angle. Then use the formula for area that uses the sine function.

  AC = AB·cos(75°)

  Area = (1/2)AB·AC·sin(75°)

  Area = (1/2)(AB²)cos(75)sin(75°)

  = (1/4)AB²·sin(150°) . . . using the double-angle identity

  = (1/4)(12 cm)²(1/2)

  Area = 18 cm²

__

The useful relations are ...

  Cos = Adjacent/Hypotenuse

  cos(75°) = AC/AB   ⇒   AC = AB·cos(75°)

and ...

  Area = (1/2)pq·sin(α) . . . . for two sides p and q with angle α between them

  Area = (1/2)AB·AC·sin(75°)

Another identity we used here is ...

  sin(2α) = 2sin(α)cos(α)   ⇔   sin(α)cos(α) = (1/2)sin(2α)

Putting these together, the formula for area we used was effectively ...

  A = (1/4)AB²sin(2·75°)

Answer:

1464*.34=amount of students

Step-by-step explanation:

Answer:

2 , 10 , and 15 in order of missing spaces, up to down

Step-by-step explanation:

You find the ration 8/20 and find out if the ration is simplifiable and turn it to 2/5 which you multiply the rest of the answers too. Hope this answers your question :)

Answer:

185

Step-by-step explanation:

Found by solving the system of equations:

3x+2.5y = 867.5

x+y = 310

Answer:

√600 is around 24.5 while ∛56 is around 3.83

Step-by-step explanation:

Method: TRIAL AND ERROR

For √600, we can follow trial and error method:

30^2 is 900, so too big

20^2 is 400, so too small

25^2 is 625, too big

24^2 is 576, too small

Considering that 600 is between 24^2 and 25^2, we can try in between:

24.5^2 is 600.25, which is very close, therefore 24.5 is the answer

For ∛56, we can also follow trial and error method:

5^3 is 125

4^3 is 64

3^3 is 27

Considering that 56 is somewhere between 3^3 and 4^3, and that it's much more closer to 4^3, we can try 3.6^3, which is: 46.656;

3.7^3 is 50.6

3.8^3 is 54.8

3.9^3 is 59

3.85^3 is 57

3.84^3 is 56.6 (still larger)

3.83^3 is 56.1

So the answer is 3.83

But the method above works when using calculator, best for a calculator exam. If calculator is not allowed, you can find the difference between the two possible answers (e.g: 27 and 64 (3^3 and 4^3) following the above, to find out ∛56.) Of course, 56 is much nearer to 4^3, so we can assume that the answer is around 3.8.

Hope this helped. :)

~ Janice, year 10

Answer:

26 miles every hour

Step-by-step explanation:

she drove 572 miles for 22 hours

???????                      for 1 hour

572/22= 26 miles per hour

Answer: 26 miles

We know that Baranga drove 572 miles in 22 hours. To find how much she drove every hour, we must divide.

Let m represent miles, and h represent hours.

m ÷ h = 26

Remember to always check your answer.

26 x h = m

Therefore, the answer is 26. Hope this helps you!

Answer: E=15

Step-by-step explanation: If you add 13 and 2 it adds up to 15, so E would have to be 15

Answer:

15

Step-by-step explanation:

to solve this you would need to add 13 and 2 since it's inverse operation of subtraction which would give you 15 since 15-2=13

Answer:

Which graph represents the function f(x) = 4|x|?

B is the correct answer

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

Edg2021

Answer:

[tex]3 \frac{1}{3}[/tex]

Step-by-step explanation:

We know that Sally picked 6 2/3 pounds of apples, which can be converted into an improper fraction: 20/3. Multiply 20/3 and 1/2. You will get 20/6, which is 3 1/3. Hope this helped :D

Answer:

3 ft

Step-by-step explanation:

Answer:

24%

Step-by-step explanation:

Step 1: Shift the decimal point two places to the right: 0.24 → 2.4→ 24.

Step 2: Add a percent sign: 24%

and that's how you get your answer

The .24 written as a percent is 24%.

To convert .24 to a percent, multiply it by 100.

.24 ×100 = 24

When we express a number as a percent, it represents a proportion out of 100. In this case, .24 as a percent means that .24 is equivalent to 24 out of 100 or 24%. The percent symbol (%) indicates that the number is being represented as a fraction of 100. This can be interpreted as .24 representing 24 parts out of 100, or 24 hundredths.

To know more about percent here

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Answer:

The right answer is d. inverse variation; k=2

Answer:

B. 3x+2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that 8 rolls cost $4.80

let us compute how much 1 roll will cost (that is the unit cost of a roll)

so  8 rolls cost $4.80

     1 roll will cost x

x= 4.8/8

x=$0.6

so the paper tower cost $0.6 per roll (this is the rate)

therefore 6 rolls will cost

=6*0.6

=$3.6

Answer:

Jamal has the the better record

Answer:

This is the sample response from Edge

Step-by-step explanation:

Jamal has the better record because his record is 0.7 and Brian’s record is 0.625. Jamal made more free throws.

Answer: $ 3.57

Step-by-step explanation:

Given: Cost for each sandwich at the local deli shop = $2.55

They sell it at selling price = 140% of 2.55

[Replace 'of' by 'x " and '%' by [tex]\dfrac{1}{100}[/tex]]

[tex]=\dfrac{140}{100}\times 2.55\\\\=1.4\times2.55\\\\=\$3.57[/tex]  

i.e. Selling price = $ 3.57

Hence, The sandwich sells for $3.57.

Answer:

3.57

Step-by-step explanation:

Step-by-step explanation:

[tex]3(4x - 3) = - 4 + 7[/tex]

Expand :

[tex]3(4x - 3) = 12x - 9 \\ 12x - 9 = - 4 + 7[/tex]

Simplify : Add values

[tex]12x - 9 = 3[/tex]

Collect like terms and simplify

[tex]12x = 3 + 9 \\ 12x = 12[/tex]

Divide both sides of the equation by 12

[tex] \frac{12x}{12} = \frac{12}{12} [/tex]

Simplify

[tex]x = 1[/tex]

Answer:

x = 1

Step-by-step explanation:

Original Equation:

3(4x - 3) = -4 + 7

Use the distributive property.

3 x 4x = 12x

3 x -3 = -9

Equation:

12x - 9 = -4 + 7

Add 4 to both sides.

12x - 5 = 7

Add 5 to both sides.

12x = 12

Divide both sides by 12

x = 1

Hope I helped :)

Please consider Brainliest :)

Answer:

D. The coefficient of the fourth term is 7.

Step-by-step explanation:

Took the test got it right

The true statement about  c⁵ + (- 9c²) + 40c + 7d7e³ - 5c³ + 4d is

D. The coefficient of the fourth term is 7.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression c⁵ + (- 9c²) + 40c + 7d7e³ - 5c³ + 4d.

There are negative coefficients - 9.

The coefficient of the first term is 1.

The coefficient of the third term is 40.

The coefficient of the fourth term is 7 is true.

learn more about numerical expressions here :

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Answer:

41.8 years

Step-by-step explanation:

From

[tex]A = P(1+r/n)^{nt}[/tex]

A= 39000

r = 10.5%

P = $ 485

n=12

t = the unknown

t= [ ln(A) - ln(P) ] / n[ln(1 + r/n)]

t= ln 39000 - ln 485/ 12[ln(1+0.105/12)]

t= 10.57 - 6.18/0.105

t= 41.8 years

Answer:

8 degrees

Step-by-step explanation:

Your really just counting up from -6 to 2.

Answer:

44670

Step-by-step explanation:

5.67*1000+3.9*10000

Answer: 24.75

Step-by-step explanation:

First you would do 45x4=225, then you would divide that by 12 which equals 18.75, then you would add 6 to the ones place which is 24.75

Answer:

Cost of ties and pants = $52.5

Step-by-step explanation:

Total cost of ties = $19.99

cost of dress pants = $64, discountted by 30%

discount on dress pants = 30% of 64 = 0.3 × 64 = $19.2

∴ Discounted price of dress pants = 64 - 19.2 = $44.8

Total cost of ties and dress pants = 19.99 + 44.8 = $64.79

Now, let us apply the coupon

coupon = $10 off every purchase of $50 or more

Purchase amount = $64.79 ;  therefore coupon applies.

Applying coupon

Purchase amount = 64.79 - 10 = $54.79

sale tax = 6% or purchase price

sale tax = 6% × 54.79

sale tax = 0.06 × 54.79 = $3.29

∴ Final cost of ties and dress pants = 54.79 - 3.29 = $52.5

Answer:

6

Step-by-step explanation:

Given the following :

Number of sugar cookies = 42

Number of Oatmeal = 30

To package the cookies into identical containers so that each container has the same number of cookies with no left over ;

We find the greatest common factor of 42 and 30

Factors of 42 : 1, 2, 3, 6, 7, 14, 21, 42

Factors of 30 : 1, 2, 3, 5, 6, 10, 15, 30

The greatest common factor = 6

Answer:

358

Step-by-step explanation:

Answer:

50%

Step-by-step explanation: