Find, if possible, exact solutions for the quadratic equation. 7x^2 =
-28x

x = 46°

Step-by-step explanation:

The missing angle on the left triangle is 180 - (85 + 53) = 42°. By the definition of vertical angles, the angle on the right triangle is also 42°. Since the total of all the interior angles of a triangle is 180°, then

92 + 42 + x = 180

or

x = 46°

Answer:

Yeahhhh!! the critical value

Step-by-step explanation:

Answer:

210 ft^2

Step-by-step explanation:

The figure is made up of a rectangle 15 ft by 12 ft and a triangle with base 15 ft and height 4 ft.

A = LW + BH/2

A = (15 ft)(12 ft) + (15 ft)(4 ft)/2

A = 180 ft^2 + 30 ft^2

A = 210 ft^2

Answer:

210ft²

Step-by-step explanation:

Step one, find the area of the square. --->

A= bh (Area equals base times the height)

15×12=180

Step two, find the area of the triangle.

A=bh÷2 (Area equals base times the height divided by 2)

4×15= 60÷2= 30

Step three, add the solutions together

180+30=210

Answer:

Let's define the variables:

L = length of the room

B = breadth of the room

H = height of the room.

We know that:

L = 2*B

L = 3*H

Remember that the area of a rectangle of length L and breadth B is:

A = L*B

Then the area of the floor of the room is:

A = L*B

and L = 2*B, if we replace that, we get:

A = (2*B)*B

A = 2*B^2

Now, we know that the cost of carpeting the floor is $80 per m^2

And the total cost was $9000

Then the number of square meters in the floor (thus, the area of the floor) is:

A = ($9000)/($80)  m^2

A = 112.5 m^2

With this, we can find the value of B.

A = 112.5 m^2 = 2*B^2

B = √( 112.5/2) m = 7.5 m

Then the length is:

L = 2*B = 2*7.5m = 15m

And the height is:

L = 3*H

H = L/3 = 15m/3 = 5m

Now that we know all the dimensions of the room, we need to find the area of the four walls, and the area of the ceiling (which is equal to the area of the floor 112.5 m^2)

Now, we will have two walls with an area of:

area = breadth*height = B*H = (7.5m)*(5m) = 37.5m^2

And two walls with an area of:

area = length*height = L*H = 75m^2

Then the total area of the four walls plus the ceiling is:

A' = 2*(37.5m^2) + 2*( 75m^2) + 112.5 m^2

A' = 337.5 m^2

And we know that for each m^2, the cost of plastering is $35

Then for 337.5 m^2, the cost will be 337.5 times $35

Cost = (337.5)*$35 = $11,812.50

Answer:

Area of parallelogram = 63 square units

Step-by-step explanation:

In the given parallelogram:

Height of parallelogram = 9 units

Base of parallelogram = 7 units

Find:

Area of parallelogram

Computation:

Using area of parallelogram;

Area of parallelogram = Height of parallelogram x Base of parallelogram

Area of parallelogram = 9 x 7

Area of parallelogram = 63 square units

Answer:

20 minutes

Step-by-step explanation:

It would take 20 minutes longer for Linda to type 8 pages that contain 500 words on each page.

Answer: 3

7x + 15 = 41 or 7x - 15 = 41

Answer:

7x - 15 = 41

Step-by-step explanation:

The key word is "difference" so keep that in mind. 7 times a number and 15 is 41. The "number" is unknown so a variable can be put in place until the number is known. The whole equation equals 41. The word "and" is where the "difference" or subtraction sign should go. Now we have a translated description! I hope this helps and if I'm wrong, please let me know!

This is is one value (and not two values separated by a comma) and it's slightly over 30 thousand.

========================================================

Explanation:

There are n = 9 letters in the word "PEPPERONI"

If we could tell all the letters apart, there would be 9! = 9*8*7*6*5*4*3*2*1 = 362,880 permutations, and that would be the answer.

However, we have repeated letters that we cannot tell apart. The P shows up a = 3 times, and the E shows up b = 2 times. So we need to divide by a!*b! = 3!*2! = 6*2 = 12 to correct for the overcounting. That leads to the final answer of (362,880)/(12) = 30,240

Answer:

Triangle RTS is similar to JLK

Step-by-step explanation:

Scale factor is 1.5

Answer:

B

Step-by-step explanation:

0.96/8=0.12

Answer:

B. $0.12

Step-by-step explanation:

Just divide the total cost ($0.96, but for the sake of this question it's 96) by the number of pencils (8) and you get 12, which, again, for the sake of this question, is 12 cents. I hope this helps

The radius of the circle is 4 inch and has an arc length of 5.8 inches . We know that if the central angle is 360° then the arc length is [tex]2\pi r [/tex] . Similarly when angle is theta ,

[tex]\implies Arc = radius \times \theta [/tex]

Now substitute respective values , from the given data ,

[tex]\implies 5.8 inch = 4inch * \theta \\\\\implies 0.14 m = 0.1 * \theta \\\\\implies \boxed{\red{\theta \approx 1.4 \ rad }}[/tex]

This is our required answer!

Answer:

$2.39

Step-by-step explanation:

30/32* 2.55 =  $2.39

The cost to drive 30 miles is $2.39.

Here,

Car gets 32 miles per gallon.

We have to find cost to drive 30 miles when gasoline cost 2.55.

What is Multiplication?

The multiplication of two numbers is called product.

Now,

Car gets 32 miles per gallon.

Cost to drive 30 miles when gasoline cost 2.55 is;

⇒ 30/32* 2.55 =  $2.39

Hence, The cost to drive 30 miles is $2.39.

Learn more about the multiplication visit:

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Answer:

B

Step-by-step explanation:

The 3 angles (6x + 2), 40, 90 lie on s straight line and sum to 180° , that is

6x + 2 + 40 + 90 = 180

6x + 132 = 180 ( subtract 132 from both sides )

6x = 48 ( divide both sides by 6 )

x = 8 → B

Answer:

Step-by-step explanation:

Use trigonometry.

We have:

Solve for x:

Step-by-step explanation:

2x+30+x+72°=180

3x+30=180°-72°

3x+30=108°

Answer:

y=5x+6

hope this helps

have a good day :)

Step-by-step explanation:

The slope intercept form for the equation -10x+2y=12 is y= 6+5x

The slope intercept form is a method used to determine the equation of a straight line in the coordinate plane. The equation of a straight line will be that relation which:

The determination of this equation is straightforward. To find the slope intercept form of a straight line, we would need the slope, or the angle of inclination of this straight line from the x-axis and the intercept that it makes with the y-axis.

Given:

-10x+2y=12

As, we know the slope- intercept form is

y= mx +b

Then writing the equation as the slope intercept form

-10x+2y=12

2y = 12 +10x

Divide both side by 2 to make the coefficient as 1.

y= 12/2 + 10x/2

y= 6 + 5x

Hence, the slope intercept form is y= 6+5x

Learn more about slope- intercept form here:

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Answer:

Step-by-step explanation:

The function to find the number of phone users t years after 1996 is y= [tex]170(1.75)^t[/tex].

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, in 1996 a town had 170 cell phone users. This number increased by 75% each year.

Let the number of phone users t years after 1996 be y

The number of phone users t years after 1996 is

y= [tex]170(1+\frac{75}{100})^t[/tex]

y= [tex]170(1.75)^t[/tex]

Therefore, the function to find the number of phone users t years after 1996 is y= [tex]170(1.75)^t[/tex].

To learn more about the function visit:

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Answer:

Solution given:

l=12in

b=2.7in

h=9.8in

Volume=l*b*h=12*2.7*9.8=317.52in³

nearest measurement is 324in³

option C.324in³ is a required answer.

Answer:

Which of the following volume measurements is the best estimate for the figure above? Round each measurement to the nearest whole number to get your estimate.

A. 360 in³

B. 300 in³

C. 324 in³

D. 216 in³

Step-by-step explanation:

We're provided with a Cuboid with L = 12 in ,B = 2.7in & H = 9.8 in where,

and we're asked to Find the volume of the solid .

To find the volume of the given cuboid , we'll use the formula to find the volume of cuboid

[tex] \huge\fbox\pink{Area}\huge\fbox\green{=} \huge\fbox\blue{L}\huge\fbox\purple{B}\fbox\green{H} [/tex]

Inserting the value of L,B & H in the above formula

We get

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Answer:

33º and 147º

Step-by-step explanation:

x + (x + 114) = 180

2x + 114 = 180

2x = 66

x = 33º

x + 114 = 147º

Answer:

True

Step-by-step explanation:

Three standard deviation from the mean value of distribution of x comprises of 99.7 % of the values of a given set of data.

However, 68% of the data lies with in one standard deviation

while  95% percent of the data lies  within two standard deviations

99.7% is approximately 100% of the observed occurrences.

Hence, given statement is true

Answer:

4cm

Step-by-step explanation:

length is how tall, so 4cm

Step-by-step explanation:

9x - 3y = 18

Solve for y:

1. 3y= 9x + 18

2. y= 3x + 6 (This is the equation you will graph)  

To graph:  

Make a table for y = 3x +6.

If x =0, y=6

If x =1, y=9

If x =-1, y=3

You could get as many points as you like, however you need at least TWO, to be able to draw the line.

Answer:

[tex]sinB=\frac{15}{17} , cos B=\frac{8}{17} , tanB=\frac{15}{8} \\sinA=\frac{8}{17} , cos A=\frac{15}{17} , tanA=\frac{8}{15}[/tex]

Step-by-step explanation:

[tex]sinB=\frac{15}{17} , cos B=\frac{8}{17} , tanB=\frac{15}{8} \\sinA=\frac{8}{17} , cos A=\frac{15}{17} , tanA=\frac{8}{15}[/tex]

Answer:

give a thanks first and then ill tell you

Step-by-step explanation:

Answer:

Maybe it's D) or c) if not i'm du.mb and sorry

Step-by-step explanation: