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what is the volume of this triangular prism​

Answer:

34

Step-by-step explanation:

im pretty sure its 34.

vertical angles are basically angles from the opposite side of each other, so saying that one of the angles is 68 degrees and they're vertical angles, means that the other unknown angle is 68 degrees.

but in this case it'll be 34 since ur multiplying 2 with 34

2(34) = 68

i hope this helped

Answer:

Step-by-step explanation:

no of men                                no of days

15                                             20

25                                            let be x

it is in indirect proportion

15/25=x/20

do cross multiplication

25*x=20*15

25x=300

x=300/25

x=12

therefore ot will take 12 day to complete the same wall by 25 men.  

Answer:

c) vertical stretch by a factor of 2

Step-by-step explanation:

Answer:

b.

Step-by-step explanation:

Horizontal stretch by a factor of 1/2.

We can also describe this as a horizontal compression by a factor 2

Answer:

5 minutes

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

I didn't quite understand what you were asking but x should equal 5

Answer: 1 is the answer because nothing time _ will equal 5 but 1 times anything equal that number So its 1

Answer:

(-6, -8) and (6, -8)

Step-by-step explanation:

Think of this as a right triangle

The hypotenuse is 10

The "y" leg is |-8| = 8

x² + 8² = 10²

x² + 64 = 100

x² = 36

x = ±6

two points

(-6, -8) and (6, -8)

Answer:

Car C

Step-by-step explanation:

Miles per gallon = miles traveled / gallon of gas used

Miles per gallon :

Car A = 19 / 1 = 19 miles per gallon

Car B = 39 / 3 = 13 miles per gallon

Car C = 42 / 2 = 21 miles per gallon

Car D = 48 / 3 = 16 miles per gallon

Car with most miles per gallon is car C

Answer:

C: 12x + 40

Step-by-step explanation:

We are told that the Cost to rent tables from Company A is;

f(x) = 4x + 25

Also, we are told that the Cost to rent tables from Company B is;

g(x) = 2(4x) + 15

Thus, total cost for Lorenzo to rent x number of tables and the chairs he needs is;

Total = f(x) + g(x)

Total = 4x + 25 + 2(4x) + 15

Total = 4x + 25 + 8x + 15

Total = 12x + 40

Answer:

the answer is c

Step-by-step explanation:

Answer:

0.95 is your answer

Step-by-step explanation:

Answer:

$.98

Step-by-step explanation:

so if a dozen apples cost $2.35 that can be represented by the equation 12x=2.35

so solve that for x because that is the price of a single apple

so then if you just leave it because it is a weird decimal then x times 5(to figure out how much 5 apples cost) is

(2.35/12) * 5 = 47/48 or about $.98

so five apples cost $.98

Answer:

D.6,600 ft

Step-by-step explanation:

I hope it helps

Answer:

The population in 11 years will be of 53,199.

Step-by-step explanation:

Equation for a population that doubles every n years.

The population of an specie, after t years, considering that is doubles after n years, is given by an equation in the following format:

[tex]P(t) = P(0)(2)^{\frac{t}{n}}[/tex]

In which P(0) is the initial population.

The population doubles every 15 years, and the current population is 32,000

This means that [tex]n = 15, P(0) = 32000[/tex]. So

[tex]P(t) = P(0)(2)^{\frac{t}{n}}[/tex]

[tex]P(t) = 32000(2)^{\frac{t}{15}}[/tex]

What will be the population in 11 years?

This is P(11). So

[tex]P(t) = 32000(2)^{\frac{t}{15}}[/tex]

[tex]P(11) = 32000(2)^{\frac{11}{15}}[/tex]

[tex]P(11) = 53199[/tex]

The population in 11 years will be of 53,199.

Answer:

Step-by-step explanation:

8

Answer:

A

Step-by-step explanation:

Part a: Complimentary

Part b: B 71 degrees.

Step by step explanation: The figure above is a right angle split into two parts, making it a complimentary angle. Since you have the measure of AB which is 19 degrees, you now subtract that from 90 because it is a right angle. 90-19= 71, making B the correct answer.

Answer:

Step-by-step explanation:

To find x, we need to do opposite operations.

x+6=17

Subtract 6 from both sides, since subtraction is the opposite of addition, thus cancelling the 6 out.

x+6=17

 -6   -6

x=11

So x is 11.

---

hope it helps

Answer:

Step-by-step explanation:

6+x=17

x=17-6

x=11

Answer:

original price - new price

300- 210=90

discount/ original price ×%

90/300×100

=30%

The discount percent is 30%

Answer:

x-intercepts = (-5,0) & (-2,0)

Step-by-step explanation:

5 & 2 = x-intercepts but you have to put them as negative

Answer:

149

Step-by-step explanation:

nth term = 4n - 3 ..............(1)

Now,

For The tern closer to 150

150 = 4n - 3

or, 153 = 4n

or, n = 38.25

Now,

Since n can not be in decimal,

Put n = 38 in (1)      (Rounding off 38.25 to 38)

or, nth term = 38*4 -3

                    = 152 - 3 = 149

∴ The number of sequence closer to 150 is 149

Answer:

The average rate of change in the amount of the surcharge for non-account holders between 2004 and 2008 is $0.08

Step-by-step explanation:

Given

[tex]s(t) = 0.72 * 1.081^t[/tex]

[tex]3 \le t \le 13[/tex]

[tex]t \to[/tex] years since 2001

Required

Average rate of change between 2004 and 2008

In 2004,

[tex]t = 2004 - 2001[/tex]

[tex]t =3[/tex]

So:

[tex]s(t) = 0.72 * 1.081^t[/tex]

[tex]s(3) = 0.72 * 1.081^3[/tex]

[tex]s(3) = 0.9095[/tex]

In 2008,

[tex]t = 2008 - 2001[/tex]

[tex]t = 7[/tex]

So:

[tex]s(t) = 0.72 * 1.081^t[/tex]

[tex]s(7) = 0.72 * 1.081^7[/tex]

[tex]s(7) = 1.2420[/tex]

The average rate of change (m) is calculated as:

[tex]m = \frac{s(a) - s(b)}{a - b}[/tex]

In this case:

[tex](a,b) = (3,7)[/tex]

So, we have:

[tex]m = \frac{s(3) - s(7)}{3 - 7}[/tex]

[tex]m = \frac{s(3) - s(7)}{-4}[/tex]

Substitute values for s(3) and s(7)

[tex]m = \frac{0.9095 - 1.2420}{-4}[/tex]

[tex]m = \frac{-0.3325}{-4}[/tex]

[tex]m = 0.083125[/tex]

[tex]m = 0.08[/tex]  --- approximated

Answer:

1. AC = EC

Step-by-step explanation:

As it says that the figure has to be proved by SAS postulate. We know that, SAS stands for Side - Angle - Side, so we need to prove that any two sides and one angle of two triangles are equal/proportional or not.

Given, BC = CD, and angle ACB = angle DCE.

Therefore, the answer is 1. AC = EC.

Answer:

98547

Step-by-step explanation:

Answer:

The area of the smaller figure is 126 cm^2.

Step-by-step explanation:

3:7 ratio

Divide 294 by larger ratio.

294/7 = 42

Multiply 42 by the smaller ratio.

42 x 3 = 126

9514 1404 393

Answer:

  (x, y) = (5, 2)

Step-by-step explanation:

Given:

  LP = x

  MP = 2y+3

  NP = y+3

  KP = 3x -8

  KP = MP, LP = NP

Find:

  x, y

Solution:

The given relations between the segment lengths let us write two equations:

  KP = MP

  3x -8 = 2y +3   ⇒   3x -2y -11 = 0   [eq1]

  LP = NP

  x = y +3   ⇒   x -y -3 = 0   [eq2]

__

Subtracting 3 times [eq2] from [eq1] gives ...

  (3x -2y -11) -3(x -y -3) = 0

  y -2 = 0 . . . . . . . . simplify

  y = 2 . . . . . . . . . . add 2

Substituting this value into [eq2] gives ...

  x = 2 + 3 = 5

The values of x and y are ...

  x = 5, y = 2