Evaluate (18)^2-(15)^2
Please show working.

Let the smaller piece be x .

Then the larger angle will be = 3x

An equation to find the length of each of the two pieces :-

[tex]x + 3x = 112[/tex]

[tex]4x = 112[/tex]

[tex]x = \frac{112}{4} [/tex]

[tex]x = 28[/tex]

Which means :-

Length of the shorter piece = 28 inches

Length of the larger piece = 28 × 3 = 84 inches

Therefore , the length of the shorter piece = 28 inches .

Answer:36

Step-by-step explanation:

Answer:

50% increase

hope this helped

Answer: The point G is G(18,-9)

Step-by-step explanation:

Midpoint:

Write the formula for midpoint of the A(x_1,y_1) and B(x_2,y_2).

[(x_1+x_2)/2,(y_1+y_2)/2]

G(x,y), H(-2,9)

(8,0) =[(x+(-2))/2,(y+9)/2]

(x+(-2))/2 =8

(x+(-2))=16

x-2 =16

x =18

(y+9)/2=0

y+9=0

y=-9

The point G is G(18,-9)

(answer found from user homeworkhelp on mathskey.com)

Answer:

The area of the pentagon is: 354

Step-by-step explanation:

First draw two auxillery lines in the upper left hand corner to make a rectangle, and a right triangle.

Now that we have a rectangle we can find its area:

18·20=360

To find the lengths of the triangle sides:

20-16=4

18-15=3

Area of a right triangle formula: (leg a · leg b)/2

3·4=12 12/2=6

Now subtract the area of the triangle from the rectangle:

360-6=354

Answer:

354

Step-by-step explanation:

Answer:20

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given ratio

To find

Divide both sides by 25

Answer:

yes

Step-by-step explanation:

The result of an absolute value function is never negative. This is because absolute value represents distance on a number line, and negative distance is not possible. Negative distance doesn't make sense.

So we don't have solutions to something like |x| = -5 or the given equation. The right hand side must be 0 or a positive number if you want to have at least one solution.

Answer:

As a fraction it's ¼, as a decimal it's 0.25 and as a percentage it's 25%

Answer:

= 1/5

.2

20%

Step-by-step explanation:

In the bag there are 5 pennies, 4 nickels , 5 dimes, 2 quarters

We add 1 penny 2 dimes and 1 quarter

Now in the bag

6 pennies, 4 nickels, 7 dimes, 3 quarters

for a total of 20 coins

P ( nickel) = number of nickels / total

                 = 4/20 = 1/5

                  .2

                   20%

She is more likely to draw a nickel before the 1 penny 2 dimes and 1 quarter because there are fewer coins in the bag that are not nickels

(3x+5)+(x+3)=180

4x+8=180

4x=172

x=43

3(43)+5

<PQR=134

<SQR=46

Answer:

[tex]\boxed {\angle PQR = 134\textdegree}[/tex]

Step-by-step explanation:

Both angles are Supplementary (Two angles that add up to 180°). So, write an expression using the following measurements of both [tex]\angle PQR[/tex] and [tex]\angle RQS[/tex] and 180:

[tex]\angle PQR = 3x + 5[/tex]

[tex]\angle RQS = x + 3[/tex]

[tex]3x + 5 + x + 3 = 180[/tex]

Solve:

[tex]3x + 5 + x + 3 = 180[/tex]

[tex]4x + 5 + 3 = 180[/tex]

[tex]4x + 8 = 180[/tex]

[tex]4x + 8 - 8 = 180 - 8[/tex]

[tex]4x = 172[/tex]

[tex]\frac{4x}{4} = \frac{172}{4}[/tex]

[tex]x = 43[/tex]

-After you have the value of [tex]x[/tex], use it to the expression of [tex]\angle {PQR}[/tex] to get the actual answer of [tex]\angle PQR[/tex]:

-The value of [tex]x[/tex]:

[tex]x = 43[/tex]

-Solve for the measurement of [tex]\angle PQR[/tex]:

[tex]3x + 5[/tex]

[tex]3(43) + 5[/tex]

[tex]129 + 5[/tex]

[tex]134[/tex]

-The measurement of [tex]\angle PQR:[/tex]

[tex]\boxed {\angle PQR = 134\textdegree}[/tex]

Answer:

6/4y - 12 = 1/2y -4

3/2y -12 = 1/2y - 4

-1/2y          -1/2y

2/2y - 12 = -4           (2/2 = 1)

y - 12 = -4

+12      +12

y = 8

Step-by-step explanation:

Answer:

y-intercept=-4

x-intercept=12

Answer:

[tex] \huge \: x = - 5417.33[/tex]

Step-by-step explanation:

[tex]0.75 (x + 200) = 150.5 (2 – 28) \\ [/tex]

Expand the terms and simplify

That's

[tex]0.75x + 150 = 301 - 4214 \\ 0.75x + 150 = - 3913[/tex]

Subtract 150 from both sides of the equation

[tex]0.75x + 150 - 150 = - 3913 - 150 \\ 0.75x = - 4063[/tex]

Divide both sides by 0.75

[tex] \frac{0.75x}{0.75} = - \frac{4063}{0.75} \\ x = - 5417.333333[/tex]

We have the final answer as

Hope this helps you

Answer:

A'(-3, -2), B'(-1, -7), C'(6, -1)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. If an object is transformed, all its points are also transformed. Types of transformation are reflection, rotation, dilation and translation

If a point X(x, y) is reflected across the x axis, the new location is X'(x, -y).

If triangle ABC is reflected across the x axis, the new vertices are A'(-3, -2), B'(-1, -7), C'(6, -1)

Answer:

First one is 1260°

Second one is 720°

Step-by-step explanation:

Hope this helped :)

Answer:

$3.00; $7.29

Step-by-step explanation:

Find what 8% of $37.50 is:

x/37.50 = 8/100

cross multiply

x × 100 = 37.50 × 8

100x = 300

divide both sides by 100

x = 3

$3 is 8% of $37.50

If 8% was added to the bill, then add $3 to $37.50

3.00 + 37.50 = 40.50

Now find what 18% of 40.50 is

x/40.50 = 18/100

cross multiply

x × 100 = 40.50 × 18

100x = 729

divide both sides by 100

x = 7.29

$7.29 is 18% of the bill after sales tax

They tipped $7.29

Answer:

is 0

Step-by-step explanation:

Answer:

A 10 1/4

Step-by-step explanation:

for the inverse of a fraction you just take away the -.

Answer:

a = 14.4

Step-by-step explanation:

8a/8 = a       8(-a+4)/8=-a+4      equation is now    -a+4=-6a-8

-6a/-6 = a      -a/-6=1/6a    equation is now   1/6a + 4 = a-8

a-8 + 8 = a      1/6a + 4 + 8 = 1/6a + 12     equation is now     a = 1/6a+12

5/6 are left of the variable  12/5=2.4    12 + 2.4 = 14.4

Answer:

24 miles

Step-by-step explanation:

scale: 1-4

distance: 6 feet

6x4=24

HOPE THIS HELPS!!!!

Answer:

24

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

15+21=36+64=100

Answer:

No solution

Step-by-step explanation:

21−7x=−7x−21−4

21−7x=−7x−25

21=−25

No solution

Answer:

Isabella bought 70.19 ounces of dark chocolate.

Step-by-step explanation:

You want to subtract the total which is 71.4 minus the 1.21 ounces of the white chocolate, you then will get 70.19 ounces of dark chocolate. To be sure, you can add 70.19+1.21 and will get you the total amount of ounces of chocolate. Hope this helps :D

Answer:

The answer is B

PLEASE MARK ME AS BRAINLIEST

Answer:

[tex]Product = 2.4542828 * 10^{24}[/tex]

Step-by-step explanation:

Given

[tex]Digit= 0505050505050505050[/tex]

[tex]Digit = 485948[/tex]

Required

Determine the product

The product is:

[tex]Product = 0505050505050505050 * 485948[/tex]

[tex]Product = 2.4542828 * 10^{24}[/tex]