A rectangle with an area of 37 units2 is dilated by a scale factor of 2. Find the area of
the rectangle after dilation. Round your answer to the nearest tenth, if necessary.

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Answer: x = 2.5

Explanation:

5.2 * 9.3 * x = 120.9

120.9 / 5.2 = 9.3 * x

23.25 = 9.3 * x

23.25 / 9.3 = x

x = 2.5

I hope this helped!

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- Zack Slocum

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Answer:

AB = 9.5 units

Step-by-step explanation:

Here, we want to find the measure of AB

To do this, we are going to make use of the sine rule

for the sine rule, the ratio of the measure of a side and the sine of the angle that faces the side is a constant value for a triangle

Thus, we have it that; in a triangle ABC

a/sin A = b/sin B = c/sin C

using the triangle given;

we need the measure of the angle at C

The sum of angles in a triangle is 180

thus;

C + 93 + 48 = 180

C = 180 - 93 -48

C = 39 degrees

Now, to get the value of AB;

AB/sin 39 = 15/sin 93

AB = (15 * sin 39)/sin 93

AB = 9.5 units

Answer:

1,365

Step-by-step explanation:

Answer:

There can be 1365 different ways of choosing 11 players from a squad of 15. This means there can be 1365 eleven-member teams formed with 15 players.

Answer:

yes I can help you. the answer to the problem is 4/35.

Step-by-step explanation:

1. convert any mixed number into fractions.

your equation becomes 4/7÷5/1. this equals 4×1 over 7×5. multiply normally and your result is 4/35

Answer:

hiro and brenda

Step-by-step explanation:

Answer:

20ml : 6ml: 15ml

Step-by-step explanation:

1000 milliters is 1 liter, so we would have to convert it to the ml so that it will all be in proportion. To simplify a ratio, divide by a number they can all be divided by. In this case, it was 10 first, so it made it 100: 30: 75. Then, to simplify it more, they can all be divided by 5, which is the lowest it can be since 20: 6: 15 have no numbers in common to be divided by.

Answer:

a)32500

b)0.00604

c)2.4×10^6

d)1.47x10-³

Step-by-step explanation:

plz can i get brainliest:)

Answer:

to find the area to the right positive z-score begin by reading off the area in the standard mormal distribution table, since the total area under the bell curve is 1 we subtract the area from the table from 1. for example the area to the left of z=1.02 is given in the table as 0.846

Step-by-step explanation:

right answer

Answer:

1/2

Step-by-step explanation:

You should inverse the slope and multiply by -1

Answer:

0

Step-by-step explanation:

Answer:

y = 150x

Step-by-step explanation:

There is a proportional relationship between number of computers sold (x) and profit generated (y)

y ∝ x

y = kx

Here, k = proportionality constant

From the table given,

At y = 450 and x = 3,

450 = k(3)

k = 150

Therefore, expression that represents the proportional relationship will be,

y = 150x

Answer:

I'm not sure but I think it is b

Answer:

s(r(2)) = 6

Step-by-step explanation:

You would first solve for r(2). You then input r(2) which equals -2 into s(r(2)).

r(x)= -2x + 2

r(2)= -2(2) + 2

r(2)= -4 +2

r(2)= -2

s(x)=x² + 2

s(r(2)) = (-2)² +2

s(r(2)) = 6

Answer:

63 for the whole figure, for the different shaded regions it goes as follows, 17.5 for the white area and 45.5 for the grey area

Step-by-step explanation:

Answer:

a because 5 or less than 5 equals almost or less than 10

Answer:

(x+244)/y=3/2

x/y=3/5

y=5x/3

(x+244)/(x5/3)=3/2

x+244=3/2 . 5x/3

x+244=15x/6

6(x+244)=15x

6x+1464=15x

1464=15x-6x

1464=9x

x=1464/9

x≈ 162

mm=162*5/3=270

162:270 = 3:5

pm before = 270*3/2=405

405:270 = 3:2

You like to watch movies at the local theater. You have two payment options. Your first option is to buy a discount card which will cost you $160, and then $20 for m movies, 20m + 160. Your second option will cost you $100, and then pay $40 for m movies, 40m + 100. After how many movies will the total costs of the two options be the same?

the answers is 3

Answer:

Jon's hiding spot is closer to the starting point.

Step-by-step explanation:

Jon's final position forms a triangle with sides 100 ft and 120 ft respectively with an angle of 180 - 45 = 135 between them. Since the angle between the 100 ft direct east and 120 ft direction is 45, since Jon turns 45 after moving for 100 ft and then moves another 120 ft to his final destination.

Also, Lisa's final position forms a triangle with sides 120 ft and 100 ft respectively with an angle of 180 - 32 = 148 between them. Since the angle between the 120 ft direction west and 100 ft direction south of west is 45, since Lisa turns 32 after moving for 120 ft and then moves another 100 ft to her final destination.

Using the cosine rule,

a² = b² + c² - 2abcosФ,  we find the length of the third side of each triangle which is their distance from the starting point.

So, for Jon

a² = b² + c² - 2abcosФ where b = 100 ft, c = 120 ft and Ф = 135°

Thus,

a² = (100 ft)² + (120 ft)² - 2(100 ft)(120 ft)cos135°

a² = 10000 ft² + 14400 ft² - 24000 ft²cos135°

a² = 10000 ft² + 14400 ft² - 24000 ft²(-0.7071)

a² = 24400 ft² + 16970.56 ft²

a² = 41370.56 ft²

a = √(41370.56 ft²)

a = 203.4 ft

for Lisa

a'² = b'² + c'² - 2a'b'cosФ' where b = 120 ft, c = 100 ft and Ф = 148°

Thus,

a'² = (120 ft)² + (100 ft)² - 2(120 ft)(100 ft)cos148°

a'² = 14400 ft² + 10000 ft² - 24000 ft²cos148°

a'² = 14400 ft² + 10000 ft² - 24000 ft²(-0.8481)

a'² = 24400 ft² + 20353.15 ft²

a'² = 44753.15 ft²

a' = √(44753.15 ft²)

a' = 211.56 ft

a' ≅ 211.6 ft

Since a = 203.4 ft < a' = 211.6 ft,

Jon's hiding spot is closer to the starting point.

Answer: D

Step-by-step explanation:

right on edge

Answer:

C, 40

Step-by-step explanation:

If there are 12 seats in each row, and 486 hamsters total, then we can safely assume one hamster takes up one seat.

To find out how many rows they can take, we need to divide the number of hamsters by the number of seats to get 486 / 12 approximately equals 40.

Answer:

C.

Step-by-step explanation:

Take the first two numbers of 486.

How many times does 12 fit into 48?

4 times.

Since all of the estimations do not have any form of individual single digits (as they do normally), we would dismiss the 6 and use its place just as a '0.'

40.

Hope this helped!

Answer:

x = 27°, ∠JLK = 55°

Step-by-step explanation:

From the diagram in the question above,

The exterior angle of a triangle is equal to the sum of the two opposite side

3x+13 = 39+(2x+1)

3x+13 = 40+2x

collect like terms and solve for x

3x-2x = 40-13

x = 27°.

∠JKL = 2x+1

Substitute the value of x

∠JKL = 2(27)+1

∠JKL = 54+1

∠JKL = 55°

Answer:

62 .5 minutes or 1 hr, 2 min, and 24 sec.

Step-by-step explanation:

Answer:

300 mins or 5 hours

Step-by-step explanation:

ok so 25 divided by 2.5 equals 10

10 times 30 equals 300min

300 divided by 60 because thats one hour s which equals 5 hours

Answer:

10.6 units

Step-by-step explanation:

distance formula

= √((x2-x1)²+(y2-y1)²)

= √((5+3)²+(-6-1)²

= √(8²+(-7)²)

= √ (64+49)

= √113

= 10.6

Answer:

10=Z and 10=Y

Step-by-step explanation:

since it is a 45, 45, 90 triangle

both Z and Y will be the same length

the hypotenuse has a length of [tex]x\sqrt{2}[/tex] with x being the length of the legs

Since the length of this triangle's hypotenuse is [tex]10\sqrt{2}[/tex] the side length would be 10

Hope that helps :)

Answer:

[tex]4\frac{19}{24}[/tex]

Step-by-step explanation:

I hope I did this right:

So first thing to do is set up the equation.

[tex]K + \frac{1}{3} = 5\frac{1}{8}[/tex]

Next thing to to is subtract 1/3 from both sides to get:

[tex]K = 5\frac{1}{8} - \frac{1}{3}[/tex]

Next up, you will multiply each of the fractions by the opposing value

(multiply 1/8 by 3 and 1/3 by 8)

[tex]K = 5\frac{3}{24}[/tex][tex]-\frac{8}{24}[/tex]

Alright almost done, by multiplying 24 by 5 you get 120, that will go in the numerator to make the math a lot easier.

K = [tex]\frac{123}{24}[/tex][tex]-\frac{8}{24}[/tex]

Finally, you subtract 123 over 24 by 8 over 24.

K = [tex]\frac{123}{24} - \frac{8}{24} = \frac{115}{24}[/tex]

Then just simplfy the 115/24 to get

[tex]4\frac{19}{24}[/tex]

Answer:

1/3x

Step-by-step explanation:

for 4xy/12x^2y we need to simply one of the x's and the y's and divide both parts by 4

so we get:

1/3x

Answer:

A, C, and B. In that order