Solve the equation. Be sure to check for extraneous solutions

1.√x+5=12

Answer:

The area of the paralellogram is 24 square units.

Step-by-step explanation:

Geometrically speaking, the area of the parallelogram has an equation equivalent to the area formula for a rectangle, that is:

[tex]A = b\cdot h[/tex] (1)

Where:

[tex]A[/tex] - Area.

[tex]b[/tex] - Base.

[tex]h[/tex] - Height.

The base and height of the parallelogram are, respectively:

Base

[tex]b = 8-2[/tex]

[tex]b = 6[/tex]

Height

[tex]h = 5-1[/tex]

[tex]h = 4[/tex]

Then, the area of the parallelogram is:

[tex]A = (6)\cdot (4)[/tex]

[tex]A = 24[/tex]

The area of the paralellogram is 24 square units.

Answer:

um okay good for p and q......

Answer:

Well good for them ig

Step-by-step explanation:

2

8 2 | 1 8 9

1 6 4

2 5

Therefore, 180 divided by 82 = 2 with a remainder of 25

2 with a remainder of 25

Decimal form = 2.304878

Answer:

No

Step-by-step explanation:

7460400-7450400=10 000, that is ten thousand

Answer:

2√10

Step-by-step explanation:

Given the coordinates (-6, 2) and (0,0)

We are to find the distance between the coordinates. Using the distance formula;

d = √(x2-x1)²+(y2-y1)²

d = √(0-2)²+(0+6)²

d = √(-2)²+(6)²

d = √4+36

d = √40

d = √4*10

d = 2√10

Hence the required distance is 2√10

Answer:

Step-by-step explanation:

Distance traveled in a hour = 80 miles

Distance traveled in 5 hours = 80 * 5 = 400 miles

Answer:

The answer is 2/10 which simplifies to 1/5

I don't know the second one:(

Answer:

-30

Step-by-step explanation:

Answer:

3y+x=40

x=40-3y..........1

2x+1=y........2

subst. 2into1:

x=40-3(2x+1)

x=40-6x-3

7x=37

x=37/7

subst.x into2:

2(37/7)+1=y

y=81/7

Answer:

c

Step-by-step explanation:

Answer:

1 is the correct answer.

Answer:

20

Step-by-step explanation:

Count the number of scores there are.

Answer:

7 is a, 92

8 is b, 60.5

Step-by-step explanation:

Answer:

6/9

Step-by-step explanation:

(2*3)/9

6/9

2nd is good no cap about it

answer it is the 3rd one

Answer:

$15 will be the correct answer!

Step-by-step explanation:

250 x 0.06 = 15

Answer:

$15

Step-by-step explanation:

6% = 0.06

0.06 x 250 = 15

Answer:

$135

Step-by-step explanation:

Step 1

Conversion

Base = 2 yards

1 yard = 3 feet

2 yards = x

Cross Multiply

x = 2 × 3 feet = 6 feet

Height = 5 yards

1 yard = 3 feet

5 yards = x

Cross Multiply

x = 5 × 3 feet = 15 feet

Step 2

Find the area of the triangle

Area of a triangle = 1/2 × base × height

Base = 6 feet

Height = 15 feet

Area = 1/2 × 6 × 15

= 45 square feet

Step 3

Find the cost of the carpet

1 Square foot = $3

45 square feet = x

Cross Multiply

x = 45 × $3

x = $135

Therefore, the amount you will pay to cover a triangular section of the floor is $135

Answer:

502.4

Step-by-step explanation:

a=3.14*80*80

a=20,096/4

a=502.4

Answer:

Yea

Step-by-step explanation:

502.4

Answer:

she has a total of 216 inches of ribbon

Step-by-step explanation:

1 foot is equal to 12 inches.

if she has 3 feet per ribbon, and each foot is 12 inches, then 3 × 12 would be 36, making each ribbon 36 inches.

But, she has 6 pieces of ribbon, so that's 36 inches 6 times. 6 × 36 is 216, so she has a total of 216 inches of ribbon.

I think the answer is (B)

2+2+3=7

7/3=2.33

2.33/3=0.78 hours

46 minutes 12 second

It would take them 46 minutes 12 seconds to clean the car if they worked together.

Answer:

45 min

Step-by-step explanation:

Answer:

that's 10 kids

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

The area = area of a rectangle on the same base and between the same parallel lines

= (15 + 6) * 8

= 21 * 8

= 168 yd^2.

Answer:

160

Step-by-step explanation:

First, you add 15 + 6 multiplied by 8.

Expression (15 + 6) x 8=?

First, add the expression in the prentice.

15 + 6= 21

Cut out the 10. Why? Because it says make it a triangle. If u did it the other

way it wouldn't make sense.

then multiply 21 and 8

that gives you 160

Answer:

C. 272

Step-by-step explanation:

Since we know 85% of the students participated last year we can assume the same amount will participate this year so to find the answer you simply do the total number of students (320) multiplied by 85% or .85 to get the best guess of how many students will participate this year.

Answer:

The length of the side VT is approximately 11.1 feet long.

Step-by-step explanation:

There is a trigonometry law called the law of sines, which states the sine of an angle divided by its opposite side is equivalent to the sine of all the other angles in that right triangle divided by its corresponding opposite side. You can use this law to help you solve for x. By applying the law of sines, you'll get that [tex]\frac{sin(90^{o})}{36} =\frac{sin(18^{o})}{x}[/tex] ⇒ [tex]\frac{36}{sin(90^{o})} = \frac{x}{sin(18^{o})}[/tex] ⇒ [tex]x=\frac{36*sin(18^o)}{sin(90^{o})}[/tex] ⇒ [tex]x=11.1ft.[/tex]

Answer:

12.56

Step-by-step explanation:

4 ×3.14 to get 12.56

Answer:

z = 47.2°

w = 42.8°

y = 42.8°

x = 47.2°

Step-by-step explanation:

found altitude ('h') first:  6/h = h/7;  h = [tex]\sqrt{42}[/tex]

found base by using Pythagorean Theorem:

7² + ([tex]\sqrt{42}[/tex])² = c²

c = [tex]\sqrt{91}[/tex]

found angle z using Rule of Sines:

sin 90 / [tex]\sqrt{91}[/tex] = sin z / 7

arcsin z = 7 / [tex]\sqrt{91}[/tex] = 47.2°

found angle w by adding 90 and 47.2, then subtracting from 180 to get 42.8°

found angle y by subtracting m∡z from 90° to get 42.8°

found angle x by adding 90 and 42.8°, then subtracting from 180

Answer:

4 square units

Step-by-step explanation:

the distance between (3, -4) and (5, -4) is 2, and the distance between (3, -2) and (5, -2) is also 2. since its a quadrilateral do 2x2 and you get 4.