suppose the total area is 132 square units, b=5, d=4, and the area I is a square. Find the missing lengths and areas.

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]

(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]

Step-by-step explanation:

1.) x + 37 + x + 67 + 90 = 180

combine like terms

2x +194 = 180

subtract 194 both sides

2x = -14

x = -7

2.) 63 + 86 = x

x = 149

Answer:

1. (x+37) + (x+67) + 90° = 180°

=> x + x + 37 + 67 + 90 = 180

=> 2x +194 = 180

=> 2x = 180 –194

=> 2x = –14

=> x = –14/2

=> x = –7

2. [The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. ]

x = 63° + 86°

=> x = 149°

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:

Step-by-step explanation:

Given ratio

To find

Divide both sides by 25

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:

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:

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:20

Step-by-step explanation:

Answer:

basically just multiply the fractions by a common number until you have whole numbers, then solve like normal

Step-by-step explanation:

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:

n> -6

Step-by-step explanation:

-35n -28< 182

         +28    +28

______________

-35n < 210

n> -6

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x−2−7x=10x+4

3x+−2+−7x=10x+4

(3x+−7x)+(−2)=10x+4(Combine Like Terms)

−4x+−2=10x+4

−4x−2=10x+4

Step 2: Subtract 10x from both sides.

−4x−2−10x=10x+4−10x

−14x−2=4

Step 3: Add 2 to both sides.

−14x−2+2=4+2

−14x=6

Step 4: Divide both sides by -14.

−14x−14=6−14

x=−3/7

Answer:

x=−3/7

The  value of x is -3/7.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

3x-2-7x = 10x + 4

Now, solving for x

3x-2-7x = 10x + 4

-4x - 2= 10x + 4

-4x - 10x = 4 + 2

-14x = 6

x= -6/14

c= -3/7

Hence, the value of x is -3/7.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ5

Answer:

The y-int is -3, There is a point at (-15,0), (-30,3), The slope is -1/5

Step-by-step explanation:

The slope formula is y2-y1/x2-x1 which if you use it for those points, you get -1/5

Hope this makes sense! If you need help, just comment!!

Answer:

50% increase

hope this helped

Answer:

hii

Step-by-step explanation:

Answer:

500 calories

Step-by-step explanation:

divide the 1250 calories by the initial five servings and you get 250 then multiply that by the 2 servings they are asking for and you get 500 calories

Answer:

500

Step-by-step explanation:

you take 1,200 and decide by 5 then take 250 and multiply by 2 to get 500

Answer:

First one is 1260°

Second one is 720°

Step-by-step explanation:

Hope this helped :)

Answer:

.0000000418

Step-by-step explanation:

So you will start from the decimal and move 8 places to the left.

E-8 is the same as 10^-8 so you will move to the left

If it was E8 you would move to the right 8 places.

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:

b.) yes, because each employee's social security number is unique and will be paired with just one salary

Step-by-step explanation:

each employees social security number will be different, but there will be more than one employee with one salary but the employee could be find by the social security number

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:

Part 1:

Due to these magnitudes are too big, it is better to use km as a unit of diameter measurement.

Part 2:

The diameter of the sun is approximately 109 times the diameter of the earth.

Step-by-step explanation:

Part 1:

Due to these magnitudes are too big, it is better to use km as a unit of diameter measurement.

So we can rewrite the diameter of the Earth in terms of km, knowing that 1 km = 1000000 mm.

[tex]D_{E}=1.2742\times 10^{10}mm*\frac{1km}{1000000mm}=1.2742\times 10^{4} km[/tex]

Part 2:

We can divide each diameter to find the relation between them.

[tex]\frac{D_{S}}{D_{E}}=\frac{1.391\times 10^{6} km}{1.2742\times 10^{4} km}=109.2[/tex]

Therefore the diameter of the sun is approximately 109 times the diameter of the earth.

I hope it helps you!

Answer:

66,114 pounds of bananas.

Step-by-step explanation:

There are 12 months in a year, multiply 5,512 and 12 to get one year.

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:

10 cm by 5cm

Step-by-step explanation:

We know that for every 5 meters, there will be 1 centimeter. The pool is 50 meters by 25 meters. So to find this in terms of centimters, divide by 5 to get 10 cm by 5 cm.

Answer:

The length of AB is 3 squares

Length of A' B' is 9 squares

Point A is (2,1)

Point a' is ( 6,3)

Step-by-step explanation:

I am not sure what the scale factor is though. I have never heard of it. Sorry!

Answer:

1.5

Step-by-step explanation:

thats the answer but i can't post without this extra text

Answer:36

Step-by-step explanation: