Find the slope of the line.
Ay
A(-2, 4N
4
Х
-4 --2 0
4
2
B(3,-2)
-4

Answer:

B. 192.5 ft³

To find the volume of a triangle prism, multiply the base, height, and length together, and then divide it by 2 (or multiply that by 0.5).

(5 * 7 * 11)/2

Multiply 5 by 7 to get 35.

(35 * 11)/2

Multiply 35 by 11 to get 385.

385/2

192.5 ft³ is the volume of this triangluar prism.

Answer:

25 times 12

300

divided by 2

150

times 22

3300 cubic ft

Answer:

1. The preimage and image are congruent

2. Any line segment connecting the corresponding points between the preimage and image is bisected by the line of reflection

3. Corresponding angles on the preimage and image are congruent

4. Corresponding points of the preimage and image are equidistant from the line of reflection.

Answer:

1/3 kilograms

Step-by-step explanation:

Answer:

[tex]8\sqrt{3}[/tex] [tex]\text{in.}[/tex]

Step-by-step explanation:

60 · 60 · 60

60³ = 180

Diameter - 8

3 sides, diameter 8 = answer.

Answer:

D) [tex]4\sqrt{3}[/tex]

Step-by-step explanation:

[tex]x = \sqrt{8^{2} - 4^{2} } = \sqrt{48}= \sqrt{4*16}= 4\sqrt{3}[/tex]

Answer:

2p + 4b = 42

7p + 9b = 107

p = $5

b = $8

Step-by-step explanation:

p is cost of plant, b is cost of bush

2p + 4b = 42

7p + 9b = 107

First we'll solve the first equation for p in terms of b:

2p + 4b = 42

subtract 4b from both sides

2p = -4b + 42

divide both sides by 2

p = -2b + 21

Now substitute that value in for p in the second equation, and solve for a numerical value of b:

7(-2b + 21) + 9b = 107

-14b + 147 + 9b = 107

combine like terms:

-5b = -40

b = 8

Use this to go back and solve for p:

p = -2b + 21

p = -2(8) + 21

p = -16 + 21 = 5

---------------------------

check the math:

2p + 4b = 42

2(5) + 4(8) = 10 + 32 = 42

Answer:

D. 4000 per month

Step-by-step explanation:

If they make 48000 per year, to find how mmuch s/he makes in a month, we have to divide it by 12 because there are 12 months in a year.

$48,000/12= $4000 per month

Answer:

Bases change red litmus into blue and bases have a slippery and soapy texture. Therefore, we can conclude that out of the given options, one way to test whether an unknown solution is acidic or basic is to check whether the solution has a slippery feel

Step-by-step explanation:

Answer:

8 2/3

Step-by-step explanation:

Answer:

5 students are left out in the arrangement.

Step-by-step explanation:

If the number of rows = the number of columns  

Then there must be an equal arrangement

Since the total number of students in the school is 2121

Then, the students that are left out in this arrangement = 2121 - (√2121 X √2121

Note the result of the square root would only consider the whole number, the digits after the decimal point signifies the remaining number that can't fit into the arrangement

so, √2121 = 46.05 (so 46 would be used)

= 2121 - (46 X 46)

= 2121 - 2116 = 5

Therefore 5 students are left out in the arrangement.

Given:

Distance between two villages = 14 km

Map scale = 1:25000

To find:

The distance between the two villages on the map.

Solution:

Let the distance between the two villages on the map be x.

Map scale is 1:25000. So,

[tex]\dfrac{x}{14}=\dfrac{1}{25000}[/tex]

[tex]x=\dfrac{1}{25000}\times 14[/tex]

[tex]x=0.00056[/tex]

Therefore, the two villages are 0.00056 km apart on map.

97 decibel sound is 2.5 times more intense than a 93 decibel sound

Correct option is C.

Sound intensity also known as acoustic intensity, is defined as the power transmitted by a sound wave per unit area in a direction perpendicular to that area. Sound intensity is the sound power in watts divided by the area (in square meters) covered by the sound. Sound loudness relates the intensity of a particular sound to its strength at the threshold of hearing, measured in decibels (dB).

Given expression for loudness

L = 10 log(I/I₀)

Loudness of two different sounds are

L₁ = 97 decibel and L₂ = 93 decibel.

Let the intensity for the loudness L₁ and L₂ are I₁ and I₂

Then,

L₁ = 10log(I₁/I₀) = 97

⇒ log(I₁/I₀) = 9.7

taking antilog

I₁/I₀ = antilog (9.7)

I₁/I₀ = 5011872336.27271

L₂ = 10log(I₂/I₀) = 93

⇒ log(I₂/I₀) = 9.3

taking antilog

I₂/I₀ = antilog (9.3)

I₂/I₀ = 1995262314.96888

Then,

(I₁/I₀)/(I₂/I₀) = 5011872336.27271/1995262314.96888

I₁/I₂ = 2.51188643 ≈ 2.5

Hence, 2.5 times more intense is 97 decibel sound than 93 decibel sound.

Learn more about intensity here:

https://brainly.com/question/30101270

#SPJ2

Answer:

D) the scaled triangles perimeter is 1/3 the size of the original triangles perimeter

Step-by-step explanation:

Given

Original:

[tex]Height = 18, Slant = 30, Length =24[/tex]

Scaled:

[tex]Height =6, Slant=10, Length=8[/tex]

Looking at the dimension of both triangles, The relationship between the original and the scaled copy is:

[tex]Scaled = \frac{1}{3} * Original[/tex]

Hence, the perimeter is:

[tex]Perimeter (Scaled) = \frac{1}{3} * Perimeter (Original)[/tex]

Answer:

+ or > depending on what you mean exactly

Step-by-step explanation:

-7x<6-9

-7x<-3

x>3 (remember to flip the sigh)

the sign is the > symbol , or positive, not sure what you mean really

Answer:

9*10^16

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

order of operations dictates to the power preceeds multiplication, therefor the only difference is the sum of the multipliers being 2 and 7, added after factoring within parenthesis

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

Work Shown:

(1 inch)/(40 miles) = (5 inches)/(x miles)

1/40 = 5/x

1*x = 40*5 .... cross multiply

x = 200 miles

------------

We could also look at it like this:

1 inch = 40 miles

5*(1 inch) = 5*(40 miles) .... multiply both sides by 5

5 inches = 200 miles

Answer:

.

Step-by-step explanation:

Answer:

y=mx+c

Step-by-step explanation:

Answer:

6x²+17x-12

Step-by-step explanation:

(2x-3)(4-3x)

8x-6x²-12+9x

Reorder.

6x²+9x+8x-12

Combine like terms.

6x²+17x-12

---

hope it helps

Answer:

2) 40

Step-by-step explanation:

the perimeter of Rhombus =

4 × (√(12/2)²+(16/2)² )

= 4× (√6²+8²)

= 4× (√100)

= 4×10

= 40

Q) 4 × (√(12/2)²+(16/2)² )

→ 4 × (√6²+8²)

→ 4 × (√100)

→ 4 × 10

→ 40 is the perimeter of rhombus.

Answer:

They are all squares similar to the base.

Step-by-step explanation:

They are not congruent to the base but are similar.

Answer:

Step-by-step explanation:

Hope this helps u !!

Answer:

y = 0

Step-by-step explanation:

Let's use the addition method.

2x + y - 10 = 0

x - y - 5 = 0

Write the first equation as is. Write below it the second equation multiplied by -2 on both sides. Then add the equations.

         2x + y - 10 = 0

(+)     -2x + 2y + 10 = 0

--------------------------------

                 3y        = 0

Divide both sides by 3.

y = 0

Answer: y = 0

Answer:

Hello There!!

Step-by-step explanation:

Let the nisha be x and nishan be y. Your statement is x=2y.

x+y=21000

2y+y=21000

3y=21000

y=21000/3

y=7000

The amount of money nishan got=7000

The amount of money nisha got=2y=7000 ×2=14000

hope this help,have a great day!!

~Pinky~

Answer:

Step-by-step explanation:

the given equation is in the form of quadratic formula i.e.ax^2+bx+c=0.

So ,here a=-1 ,b=-6 and c=-9

b^2=(-6)^2

=36

4ac=4*(-1)*(-9)

=4*9

=36

b^2-4ac=36-36

=0

number of solutions =1

Hope this helps u !!

Answer:

6) 62.5%

7) 54

8) B

Step-by-step explanation:

For number 6, just add 96 and 160 and then do 160/(96+160), which is equal to 0. 625, or 62.5%.

for number 7, x is always equal to 1/3 of y, so if x is 18, we know that 18 is 1/3 of y. 18x3 is equal to 54, which is your answer.

For number 8, you can see that B is right because it uses the greatest common factor of 32 and 48, which is 16. All the other answers can be simplified more.

Answer:

6. C) 62.5%

7. D) 54

8. B) 16(2c + 3d)

Step-by-step explanation:

160 + 96 = 256

[tex]\frac{160}{256}=\frac{160/32}{256/32}=\frac{5}{8}[/tex]

5 ÷ 8 = 0.625

0.625 × 100

62.5%

GCF = 32

The factors of 160: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

The factors of 256: 1, 2, 4, 8, 16, 32, 64, 128, 256

The GCF is 32.

1:3 = 7:21 = 9:27 = 13:39 = 18:y

[tex]\frac{1}{3}: \frac{18}{y}[/tex]

1 × y = 18 × 3

y = 54

GCF(32, 48)

32 = 2 × 2 × 2 × 2 × 2

48 = 2 × 2 × 2 × 2 × 3

GCF = 2 × 2 × 2 × 2

GCF = 16

16(2c + 3d)

Answer:

3s + 5t = 779

Step-by-step explanation:

Answer:

3 5 779

Step-by-step explanation:

Answer:

-8/5

Step-by-step explanation:

Using the points given ( -1,4) and (4,-4)

We can use the slope formula

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

    = ( -4 -4)/(4- -1)

    = (-4 -4)/(4+1)

    = -8/5

Answer:

$1,608

Step-by-step explanation:

I think you have to do $70 x 24

Answer:

$1680

Step-by-step explanation:

For 1 ticket price=$70

For 24 ticket price=$70 x 24

=$1680

Answer:

First Box: -10/5

Second Box = -1.25

Third Box = -0.5

Fourth Box = 0.75

Fifth Box = 3/2

Step-by-step explanation:

NOTE: I AM SAYING THIS FROM LEFT TO RIGHT

Answer:

The first box should be -[tex]\frac{10}{5}[/tex] ;

The 2nd box should be -1.25 ;

The 3d box should be -0.5 ;

The 4th box should be 0.75 ;

The 5th box should be 3/2 which is the last box left.