Find the value of each expression -7+12+15

Answer:

Step-by-step explanation:

Similarity property,

" If the two triangles are similar then their corresponding sides will be proportional."

14). If ΔPQR ~ ΔUVW,

     [tex]\frac{PQ}{UV}=\frac{QR}{VW}=\frac{PR}{UW}[/tex] [Statement}

     [tex]\frac{15}{10}=\frac{9}{6}=\frac{6}{4}[/tex]

     [tex]\frac{3}{2}=\frac{3}{2}=\frac{3}{2}[/tex]  [True}

Therefore, ΔPQR ~ ΔUVW [Theorem - SSS]

15). If ΔFHE ~ ΔDHG,

     [tex]\frac{EH}{HG}=\frac{HF}{DH}[/tex] [Statement]  

     [tex]\frac{24}{6}=\frac{36}{9}[/tex]

     4 = 4

Therefore, ΔFHE ~ ΔDHG [Theorem - AA]

Answer:

C. 5

Step-by-step explanation:

XY= -1-(-5)= 4

ZA= A-1= 4 ⇒ A=1+4= 5

A=5

Answer:

the answer is -6, 2

Step-by-step explanation:

Answer:

the answer is -6, 2

Step-by-step explanation:

Answer:

ANSWER

x =  { - 20}{7}

y={ 4}{7}

Step-by-step explanation:

Answer:

B.)The volume of the triangular prism is not equal to the volume of the cylinder.

Step-by-step explanation:

Let A be the cross-sectional area of both congruent right triangular prism and right cylinder.

Since the prism has height 2 units, its volume V₁ = 2A.

Since the cylinder has height 6 units, its volume is V₂ = 6A

Dividing V₁/V₂ = 2A/6A =1/3

V₁ = V₂/3.

The volume of the prism is one-third the volume of the cylinder.

So, since the volume of the prism is neither double nor half of the volume of the cylinder nor is it equal to the volume of the cylinder, B is the correct answer.

So, the volume of the triangular prism is not equal to the volume of the cylinder.

Answer: -38,686

Step-by-step explanation:

3 x 4= 12

-19 x 2037= -38,703

12 + 15= 17

17 -38,703= -38,686

Step-by-step explanation:

X= raspberry

X = 600 ÷ 11 = 54 batches

[ 60 minutes = 1 hour]

[600 minutes = 10 hours]

Y = peach

Y = 600 ÷ 8 = 75 batches

Answer:

its b

Step-by-step explanation:

it just is

Answer: -3 and 7

Step-by-step explanation:

x - 7

Add 7 to get 0

x - 7 ( + 7) = 0

x + 3

Subtract 3 to get 0

x + 3 ( - 3) = 0

Answer:

a. √2⁴+3² = √16 + 9

= √25 = 5

The answer is a

b. √10²-2^6 = √100-64

= √36 = 6

The answer is b

Hope this helps.

Answer:

A.) should be C

B.) should be D

90% sure

Answer:

0.50

Step-by-step explanation:

Simply plug -2 in for x into the equation.

2(2^-2) = 0.50

Answer:

0.50

Step-by-step explanation:

Answer:

If a is negative or zero  there are no real solutions

Step-by-step explanation:

y=ax^2-8

Set equal to zero to find the solution

0 =ax^2-8

Add 8 to each side

8 = ax^2

Divide by a  a cannot be zero or we cannot divide by it

8/a = x^2

Take the square root of each side

sqrt(8/a) = sqrt(x^2)

We need 8/a to be positive for it to have real solutions

That means a has to be positive

If a is negative or zero  there are no real solutions

Step-by-step explanation:

(-2)-(+15)=(-17)

the difference between those two temperature s is (-17)

Answer:

Step-by-step explanation:

We'll call height h.

The equations of a cone and sphere are:

Cones: 1/3 * base area * h

Spheres: 4/3 π * r³

The base area of a cone would be the area of a circle equation:

π * r² = π * 2² = 4π.

Because you're converting from sphere to cone, you would set their equations equal to each other.

1/3 * 4π * h = 4/3 π * 5³

Next, isolate h.

h = (4/3 π * 5³)/(1/3 * 4π)

h = 125

Hope this helps!

Answer:125

Step-by-step explanation:

Answer:

$10,400

Step-by-step explanation:

If 2,000 dollars are being invested at the beginning of each year and gets a 4% interest at the end that means 2,000*104%=$2,080

It also continues on for 5 years so 2,080*5=$10,400

Answer:

10833

Step-by-step explanation

Use the formula

Sₙ=a₁ [tex]\frac{1-r^n}{1-r}[/tex]

a₁= 2000

r= 1+4%=1.04

n=5

plug back into equation

S₅=2000[tex]\frac{1-1.04^5}{1-1.04}[/tex] =10832.6

Rounded to the nearest dollar $10,833

Answer:

0.96176920308

Step-by-step explanation:

i think so

Answer:

17

Step-by-step explanation:

Plot in the points for each variable to find the y-intercept.

1=-4(4)+c

1=-16+c

1+16=c

17=c

9=-4(2)+c

9=-8+c

9+8=c

17=c

Answer:

Step-by-step explanation:

Given:

2 Points

(4,1) and

(2,9)

Slope

m = (y2 - y1)/(x2 - x1)

y2 = 9

y1 = 1

x2 = 2

x1 = 4

m = (9 - 1) / (2 - 4)

m = 8 / - 2

m = - 4

y intercept

y = mx + b

y = -4x + b

Use (9, 1) to find the y intercept

1 = - 4*9 + b

1 = - 36 + b

b = 37

Answer

The equation is y = - 4x + 37

Answer:

3/10

Step-by-step explanation:

Josh and Lucy share some money in the ratio 3:7.

3+7=10

The fraction Lucy gets is 7/10

The fraction Josh must get is 3/10.

Answer:

a. cone. Since it's the only shape with one base and a vertex not on the same plane

Answer:

d = 1 + 3p  

Step-by-step explanation:

Leon already ran 1 miles on his own and he is expected to cover a distance d of 3 miles during each practice. The number of practices is expressed as p and the distance covered is expressed as d.

For every track practice he is expected to cover a distance of 3 miles. Recall he has already cover 1 mile on his own.

Therefore, the relationship between the practices p and the distance d can be expressed as follows.

number of track practice = p

distance covered = d

The distance covered  d in miles is 1 miles plus the number of track practice p multiply by 3

d = 1 + 3p  

Answer:

Doman is the x intercpet range

Step-by-step explanation:

all real numbers is the domain since the function goes on and on forever and will at one point get to 1 billion or trillion or just on and on forever.

The Answer Is:

All Real Numbers

Answer:

2(x+y)

Step-by-step explanation:

Simple 5-3 with some added variables that don't change.

Answer:

Explanation:

I hope you understand this

Answer: -7, -1, 5, -5

Step-by-step explanation:

In order to find the inverse, swap the x's and y's and solve for y.

[tex]y=\dfrac{5x+1}{-x+7}\\\\\\\underline{Swap\ the\ x's\ and\ y's}:\\x=\dfrac{5y+1}{-y+7}\\\\\\\underline{\text{Multiply both sides by -y+1 to clear the denominator}}:\\x(-y+7)=5y+1\\-xy+7x=5y+1\\\\\\\underline{\text{Add xy and subtract 1 from both sides}}:\\7x-1=xy+5y\\\\\\\underline{\text{Factor out the y from the right side}}:\\7x-1=y(x+5)\\\\\\\underline{\text{Divide x+5 from both sides}}:\\\dfrac{7x-1}{x+5}=y[/tex]

Since the boxes you need to fill in show -x in the denominator, multiply the equation by -1/-1:

[tex]y=\dfrac{-1}{-1}\bigg(\dfrac{7x+1}{x+5}\bigg)\\\\\\\large\boxed{f^{-1}(x)=\dfrac{-7x-1}{-x-5}\qquad for\ x \neq -5}[/tex]

Answer:

Angle 1

Step-by-step explanation:

Angle 3 and angle 1 are vertical angles. That means that whatever the measure of angle 3 is, angle 1 is also the same.

Answer:

Selling price of 5 gives the maximum profit

Step-by-step explanation:

What we do here is to find the first derivative, since at maximum points, the profit will be set to zero.

Mathematically, we have;

dp/dx = -120x + 600

We now equate this to zero

0 = -120x + 600

120x = 600

x = 600/120

x = 5

Answer:

Y = 170, Z = 64.

Step-by-step explanation:

Since y is the external angle to x, which you got right, it is in fact, 180-10, = 170 degrees. And since z is the external to our unknown angle, that means it is equal to the sum of the other two angles in the triangle. That means z is 54 + 10, which is 64.

Answer:

From the sum of angles on a straight line, given that the rotation of each triangle attached to the sides of the octagon is 45° as they move round the perimeter of the octagon, the angle a which is supplementary to the angle turned by the triangles must be 135 degrees

Step-by-step explanation:

Given that the triangles are eight in number we have;

1)  (To simplify), we consider the five triangles on the left portion of the figure, starting from the bottom-most triangle which is inverted upside down

2) We note that to get to the topmost triangle which is upright , we count four triangles, which is four turns

3) Since the bottom-most triangle is upside down and the topmost triangle, we have made a turn of 180° to go from bottom to top

4) Therefore, the angle of each of the four turns we turned = 180°/4 = 45°

5) When we extend the side of the octagon that bounds the bottom-most triangle to the left to form a straight line, we see the 45° which is the angle formed between the base of the next triangle on the left and the straight line we drew

6) Knowing that the angles on a straight line sum to 180° we get interior angle in between the base of the next triangle on the left referred to above and the base of the bottom-most triangle as 180° - 45° = 135°.

Answer:

The distance between (-3, -4) and (6, -4) is 9 units.

Step-by-step explanation:

First, we must know the distance formula between two points.

[tex]Distance(d)=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We will use (-3, -4) for (x₁, y₁) and we will use (6, -4) for (x₂, y₂).

[tex]Distance=\sqrt{(6-(-3)^2+(-4-(-4))^2)}[/tex]

[tex]Distance=\sqrt{(9)^2+(0)^2}[/tex]

[tex]Distance=\sqrt{81+0}[/tex]

[tex]Distance=9[/tex]

So, the distance between the two points is 9 units.

Answer:

x=-9

Step-by-step explanation:

3 x=-27

x = -9

Answer:

-9

Step-by-step explanation:

x3 = -27 OR 3x = -27

3x/3 = -27/3

x = - 9

Answer:

A=1.5 units²

Step-by-step explanation:

a²+b²=c²

2.5²+1.5²=c²

a²+2.25=6.25

a²=4.00

a=2

A=1/2 x b x h

A=1/2 x 1.5 x 2

A=1.5 units²

Answer:

1.5

Step-by-step explanation:

Use the pythagorean theorem.  a^2+b^2=c^2.  a and b are the legs, or the shorter sides of the triangle.  If you don't know which ones are shorter, just know that c is opposite of the right angle which is 2.5 in this case.  So c is 2.5 and a is 1.5.  Now you plug the values into the equation

1.5^2+b^2=2.5^2

2.25+b^2= 6.25 .Simplify the equation

b^2= 4 .Subtract 2.25 from both sides.

b= 2.  Square root both sides.  

Based on the picture, a is the base and b is the height.  The area of a triangle is 1/2(bh) .You already know the base and height you you plug it in again

1/2(1.5*2)= 1/2(3)= 1.5