can somebody please help me find the volume of this triangular prism?

[tex]1.6 \times {10}^{8} = 160000000[/tex]

[tex]5.8 \times {10}^{6} = 5800000[/tex]

[tex]4 \times {10}^{6} = 400000[/tex]

Answer:

m2 or inch2 or pulg2

Step-by-step explanation:

Answer: square units

Step-by-step explanation: when you hear of a shape area like 26 square feet or units

Answer:

53 degree angle

Step-by-step explanation:

Two angles are said to be complementary if they add up to 90 degrees. Let the complementary angle of 37 degrees is x. These two angles must add up to 90 degrees. So we can set up the equation as:

37 + x  = 90

Subtracting 37 from both sides, we get:

x = 90 - 37

x = 53 degree angle

From the above solution we can see that if we want to find the complementary angle of any angle, we can subtract the given measure from 90 degrees to get our answer.

Answer:53

Step-by-step explanation:

90-37=53

Answer:

"multiply the previous value by 3"

Step-by-step explanation:

We can easily see the pattern if we look at the 2nd, 3rd, 4th terms.

Now, we can see 1st and 2nd terms (which wasn't that apparent for some). Does multiplying 1/3 by 3 give us 1? INDEED, it does!

So the rule is "multiplying the previous term by 3".

Answer:57.1

If that helps you

Step-by-step explanation:

Answer:

7 cant go into 40 evenly, it would be 5.7 times if we were just to do 40 divided by 7 . . . .

so i guess (even though its not a even number ) your answer is 5.7

40/7 = 5.71

Using proportional relationships, it is found that:

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

[tex]y = kx[/tex]

k is the constant of proportionality.

In this problem, considering:

Hence, y is a function of x, given by:

[tex]y = 9.6x[/tex]

Also, we can write x as a function of y, as follows:

[tex]x = \frac{y}{9.6}[/tex]

You can learn more about proportional relationships at https://brainly.com/question/25067191

Yes, y is a function of x as earnings are proportional to hours worked. The equation describing x as a function of y is x = y/9.60, since Lin's sister earns $9.60 per hour.

The problem states that the amount Lin's sister earns at her part-time job is proportional to the number of hours she works, and she earns $9.60 per hour. To answer the question whether y is a function of x, yes, y is indeed a function of x because for each value of x (number of hours worked), there is exactly one value of y (the earnings).

To write the equation describing x as a function of y, we start with the standard form of the equation for a direct proportion: y = kx, where k is the constant of proportionality. In this case, k is $9.60 per hour. So, the equation would normally be written as y = 9.60x. However, the question asks for x as a function of y. Therefore, we need to rearrange the equation to solve for x: x = y/9.60.

[tex]1) \: {k}^{2} + 2k - 24 \\ = {k}^{2} + 6k - 4k - 24 \\ = k(k + 6) - 4(k + 6) \\ = (k - 4)(k + 6) \\ \\ 2) \: 4 {k}^{2} - 1 \\ = (2k - 1)(2k + 1) \\ \\ 3) \: 25 {b}^{2} - 30b + 9 \\ = {(5b - 3)}^{2} [/tex]

Answer:

Surface area; Greater; subtract

Step-by-step explanation:

The complete sentence are as follow:

The area is the space occupied by a two-dimensional flat surface. It is expressed in square units. The surface area of a three-dimensional object is the area occupied by its outer surface. It's also expressed in square units.

First, the identical shapes can be recognized using Surface Area because volume is used to measure the capacity.

Now, adding the surface results to the greater surface area.

So, to find the true Surface area it is necessary to subtract the common sides.

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Answer:

The Rate of Change between two points on a line

Answer:

horizontal

Step-by-step explanation:

➷ 1) You have to find the equation of the line first:

y = mx + c

First find the slope

slope = difference in y / difference in x

slope = 6/3

slope = 2

Substitute this into the equation, as well as one of the coordinates

2 = 2(2) + c

Subtract 4 from both sides

c = -2

The equation of the line is y = 2x - 2

I will attach the drawn graph (it won't be in blue but just note that the first graph is the first one)

2) Substitute the values into the equation:

5 = -3(10) + c

c = 35

The equation is y = -3x + 35

I will attach the graph (it will be the second one)

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

[tex] {(4x)}^{2} = 16 \times {x}^{2} [/tex]

There ya go.

The expression can be rewritten as 16x^2.

An expression can be rewritten by opening brackets, completing squares, reducing terms from it, etc.

The given expression is (4x)^2.

We can open the bracket of the given expression.

(4x)^2 = 16x^2

We have rewritten the expression. This expression is in the form of k • x^n.

Therefore, we have rewritten the given expression (4x)^2 as 16x^2.

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Answer:

the first number is 5 the second number is 4

Step-by-step explanation:

first number = x

second number = y

X+2y=13 given this isolate x  x = 13-2y

2x+y=14 substitute 13-2y for x

2(13-2y)+y=14

26-4y+y=14

-3y=-12

y=4 taking this number substitute into either equation above

x+2(4)=13

x+8=13

x=5

Answer:

38 units  

Step-by-step explanation:

Triangle ABC is a right triangle.  To find the missing side, AB (which is the hypotenuse), we use the Pythagorean theorem:

a²+b² = c²

10²+24² = c²

100+576 = c²

676 = c²

Take the square root of both sides:

√(676) = √(c²)

26 = c

AB is a diameter; this means the radius is 26/2 = 13.  This means that OB = 13 and OE = 13.

BD and DE are congruent; this means that BD = 6.

This makes the perimeter

13+13+6+6 = 38 units.

The perimeter of kite OBDE is 38 units.

Pythagoras theorem states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

Perimeter is the distance around the edge of a shape.

A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.

According to the given question.

We have a circle with center o and diameter AB.

Triangle ABC is a right triangle.  

To find the missing side, AB (which is the hypotenuse), we use the Pythagoras theorem.

So,

[tex](AB)^{2} = (10)^{2} +(24)^{2}[/tex]

[tex]\implies (AB)^{2} = 100+ 576\\\implies (AB)^{2} = 676\\\implies AB = \sqrt{676} \\\implies AB = 26[/tex]

Since, AB is the diameter of the circle. Therefore,

[tex]OB = \frac{AB}{2} \\\implies OB = \frac{26}{2} = 13[/tex]

Also, OBDE is a kite and we know that the adjacent sides of a kite are congruent.

[tex]\implies OB = BD = 13 \\\And,\ OE = ED = 6[/tex]

Therefore,

the perimeter of kite OBDE

= Length of sides (OB + BD + DE + EO )

= 13 + 13 + 6 + 6

= 26 + 12

= 38 units.

Hence, the perimeter of kite OBDE is 38 units.

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Answer:

2.0*10^(-7) meters

Step-by-step explanation:

We'll need to move the decimal point 7 places to the right, obtaining 2.0, and then multiply this 2.0 by 10^(-7).

This diameter is 2.0*10^(-7) meters.

Answer:

2x2^10m

Step-by-step explanation:

0.0000002

Answer:

Hence choice A is correct

Step-by-step explanation:

Given equations are [tex]f(x)=\sqrt{x^2-1}[/tex] and [tex]g(x)=\sqrt{x-1}[/tex]

Now we need to find the value of [tex]\left(\frac{f}{g}\right)\left(x\right)[/tex]. Then select correct matching choice from the given choices.

Now let's find  [tex](fof)(3)[/tex]

[tex]\left(\frac{f}{g}\right)\left(x\right)[/tex]

[tex]\left(\frac{f}{g}\right)\left(x\right)=\frac{f\left(x\right)}{g\left(x\right)}[/tex]

[tex]\left(\frac{f}{g}\right)\left(x\right)=\frac{\sqrt{x^2-1}}{\sqrt{x-1}}[/tex]

[tex]\left(\frac{f}{g}\right)\left(x\right)=\frac{\sqrt{\left(x+1\right)\left(x-1\right)}}{\sqrt{x-1}}[/tex]

[tex]\left(\frac{f}{g}\right)\left(x\right)=\sqrt{x+1}[/tex]

Hence choice A is correct

Answer:

a. (f/g)(x) =  √x+1

Step-by-step explanation:

We have given two function.

f(x)  = √x²-1

g(x)  = √x-1

We have to find the quotient of f(x) and g(x).

(f/g)(x) = ?

The formula to find (f/g)(x) is :

(f/g)(x) = f(x) / g(x)

simplifying f(x) , we have

f(x)  = √(x-1)(x+1)

f(x)  = (√x-1)(√x+1)

Putting values in above formula, we have

(f/g)(x) = (√x-1)(√x+1) / √x-1

(f/g)(x) =  √x+1 which is the answer.

Answer:

number of hours  Alexander family ‘s sprinkler work = 20

number of hours  Morgan family ‘s sprinkler work = 30

Step-by-step explanation:

Given in the question,

water output rate for the Alexander family ‘s sprinkler = 40 L  

water output rate for the Morgan family ‘s sprinkler = 20 L

Suppose, number of hours  Alexander family ‘s sprinkler work = x

Suppose, number of hours  Morgan family ‘s sprinkler work = y

Equation1

x + y = 50

Equation 2

40x + 20y = 1400

x = 50 - y

Put this value of x in equation 2

40(50-y) + 20y = 1400

2000 - 40y + 20y = 1400

-20y = 1400 - 2000

-20y = -600

y = 30

Put this value of y in equation 1 to get the value of x

x + 30 = 50

x = 50 - 30

x = 20

Answer:

C

Step-by-step explanation:

Simplify everything to get :

-3 - 4i + (?) = -i

From this we know that we need 3i + 3 to get -i.

3y = 3(1 + i)

3y = 3 + 3i

So the answer is C.

The Answer Would be:

C. 3y

Answer:

3 meters

Step-by-step explanation:

We assume the storage room is a rectangle, like most rooms, no indication it is otherwise.

We know it's a rectangle and not a square because it is longer than wide.

We have the perimeter measurement (16 meters).

So, we can make the following equation:

2x + 2y = 16

x being the width of the room, y being it's length.  A perimeter is the sum of all sides.

We also know the room is 2 meters longer than wide... so:

y = x + 2

If we replace y in the first equation by its value relative to x, we get:

2x + 2(x + 2) = 16 which becomes

2x + 2x + 4 = 16

4x =12

thus x = 3

Width: 3 meters

Length: 5 meters.

Confirms the 16 meters perimeter.

Answer:

Width = 3 meters

Step-by-step explanation:

We are given that for an equipment storage room, it is 2 meters longer than its width and the perimeter of this room is 16 meters.

Given the above information, we are to find the width of the room.

Perimeter = [tex]2l+2w[/tex]

Supposing [tex]x[/tex] to be the width and [tex]x+2[/tex] to the length, we can write it as:

[tex]16=2(x)+2(x+2)[/tex]

[tex]16=2x+2x+4[/tex]

[tex]12=4x[/tex]

[tex]x=\frac{12}{4}[/tex]

x = 3

Therefore, the width = 3 meters.

Answer:

C. [tex]g(x)=(x-2)^2[/tex]

Step-by-step explanation:

Remember the rules for function transformations:

- [tex]f(x+a)[/tex] shifts the function, [tex]f(x)[/tex], [tex]a[/tex] units to the left

- [tex]f(x-a)[/tex] shifts the function, [tex]f(x)[/tex], [tex]a[/tex] units to the right

We can infer from the picture that the blue graph is shifted 2 units to the right of the red graph, so we should apply the second rule:

[tex]f(x)=x^2[/tex]

[tex]g(x-2)=(x-2)^2[/tex]

[tex]g(x)=(x-2)^2[/tex]

We can conclude that the correct answer is C. [tex]g(x)=(x-2)^2[/tex]

Answer:

B. $329

Step-by-step explanation:

Add up the total amount of burgers sold (which is 47) and multiply by $5 to get 235$.

Then add up the amount of hot dogs (which is also 47) and multiply by $2 to get $94.

Then add $235 and $94 to get $329.

Answer:

a. 9/10

b. 3/4

c. 1/3

d. 1/15

e. 6/35

f. 1/15

g. 9/32

h. 4/15

Step-by-step explanation:

a. [tex]\frac{3}{10} + \frac{6}{10} = \frac{30+60}{100} = \frac{90}{100} =  \frac{9}{10}[/tex]

b. [tex]\frac{1}{3} + \frac{1}{4}+\frac{1}{6} = \frac{9}{12} =  \frac{3}{4}[/tex]

c. [tex]\frac{5}{6} - \frac{3}{6} = \frac{2}{6} =  \frac{1}{3}[/tex]

d. [tex]\frac{2}{3} - \frac{6}{10} = \frac{20-18}{30} =  \frac{2}{30} = \frac{1}{15}[/tex]

e. [tex]\frac{4}{10}*\frac{3}{7} = \frac{4*3}{10*7} =  \frac{12}{70} = \frac{6}{35}[/tex]

f. [tex]\frac{1}{6}*\frac{6}{15} = \frac{1*6}{6*15} =  \frac{6}{90} = \frac{1}{15}[/tex]

g. [tex]\frac{\frac{1}{8}}{\frac{4}{9} } =\frac{9*1}{8*4} = \frac{9}{32}[/tex]

h. [tex]\frac{\frac{1}{5}}{\frac{3}{4} } =\frac{4*1}{5*3} = \frac{4}{15}[/tex]

Answer:

It is 1/3 throughout the line.

Step-by-step explanation:

It is 1/3 throughout the line.

Answer:

125 degrees.

Step-by-step explanation:

m < CBD = m < A + m < C ( by the External Angle of a Triangle theorem).

=  58 + 67 = 125 degrees.

Answer:

Step-by-step explanation:

We know that ∠CBD = ∠ACB + ∠CAB           [ External Angle of a                                                                                         Triangle theorem]

∠CBD = 58° + 67° = 125°

To express 5 √ 4 using rational exponents, you write it as 5¹ × 4¹⁄₂, as the square root of a number is that number raised to the power of ½.

To write 5 √ 4 using rational exponents, we must express the square root of 4 as a power. From our mathematical rules, we know that a square root can be written as an exponent of ½. Therefore, √4 is equivalent to 4 to the ½ power (4¹⁄₂).

Considering the expression 5 √ 4, we apply the same concept. The 5 is actually 5 to the power of 1 (5¹), and the square root of 4 is 4 to the ½ power. When these are multiplied together, we combine the base of 5 with the exponent expressions, remembering that the 4¹⁄₂ needs to be multiplied by 5¹. Consequently, 5 √ 4 becomes 5¹ × 4¹⁄₂.

The expression 5√4 can be written using rational exponents as 5 * [tex]4^{1/2}[/tex].

To express the given expression 5√4 using rational exponents, we start by understanding what the square root represents in exponential form. The square root of a number x can be written as [tex]x^{1/2}[/tex]. For our given expression, we need to follow these steps:

Therefore, the expression 5√4 can be written as 5 * [tex]4^{1/2}[/tex] using rational exponents.

Answer:

d

Step-by-step explanation:

an x without anything in front of it is 1x  you can only mix like terms so 8x+1x+1x=10x - 2y

Answer:

-1

Step-by-step explanation:

To find the slope of a line, you would need to use the slope formula, and that is [tex]slope=\frac{y2-y1 }{x2-x1}[/tex]

This equation should be used every time you need to find a slope with two given points. If you remember this, you would find questions like this more easy.

First, you would need to plug in your coordinate points into the formula.

You would plug -7 in y2, 2 in y1. And then you will plug in 4 in x2, and -5 in x1.

Your equation should look like this:

[tex]\frac{-7-2}{4-(-5)}[/tex]

Then you solve.

For the top portion of your equation you would get -9. The -5 turns into a positive 5 because when you carry the negative over (distribute it), the negative cancels out and turns into a positive. When you add the 5 and the 4 together, it will get you 9. The bottom portion of the equation will be 9.

Your equation should now look like this:

[tex]\frac{-9}{9}[/tex]

Now, you divide.

When you divide, the two 9's end up as a whole, and you keep the negative since the negative doesn't cancel out in this situation. When you finish dividing, you would get -1.

Your FINAL answer would be -1.

Answer:

-1

Step-by-step explanation:

    Slope formula:

             ↓

 [tex]{\huge\frac{Y_2-Y_1}{X_2-X_1}[/tex]

[tex]\frac{(-7)-2}{4-(-5)}=\frac{-9}{9}=-1[/tex]

Therefore the slope is -1.

-1 is the correct answer.

I hope this helps you, and have a wonderful day!

Answer: Theater A has the greatest percent of seats filled, at 70%

Step-by-step explanation:

To find out which theater has the greatest percent of its seats filled, we need to calculate the percentage of seats filled in each theater. We can use the following formula to calculate percentage:

Percentage = (Part / Whole) x 100

For theater A, we have 112 seats filled out of 160 total seats: Percentage for theater A = (112 / 160) x 100 = 70%

For theater B, we have 84 seats filled out of 140 total seats: Percentage for theater B = (84 / 140) x 100 = 60%

For theater C, we have 117 seats filled out of 180 total seats: Percentage for theater C = (63 / 180) x 100 = 35% (Note that we need to subtract 63 empty seats from the total seats to get the total filled seats in theater C)

Therefore, theater A has the greatest percent of its seats filled, at 70%.

Step-by-step explanation:

Don't see an answer but

You can divide the dollar amount by the kilograms and it should be 4.5, anything that isn't is incorrect.

for example 27/6 is 4.5

28/4 is 7 and therefore not equivalent.

Answer: [tex]x=\±2\sqrt{10}[/tex]

Step-by-step explanation:

To find the solutions of the quadratic equation given in the problem, you can apply the proccedure shown below:

- Subtract 40 from both sides of the equation.

- Multiply both sides of the equation by -1

- Apply square root to both sides of the equation.

Therefore, by applyin the steps above, you obtain:

[tex]40-x^2-40=0-40\\-x^2=-40\\(-1)(-x^2)=(-40)(-1)\\\\x^2=40\\\\\sqrt{x^2}=\±\sqrt{40}\\\\x=\±2\sqrt{10}[/tex]

Answer:

= ±2√10

Step-by-step explanation:

40 − x2 = 0

We could solve this by;

subtracting x² from both sides

we get;

40 = x²

Then we get the square root on both sides;

√x² = √40 ; but the square root of a positive number "a" is +√a or -√a

Therefore;

√x² = ± √40

x = ±√40

√40 = √4√10

       = 2√10

Thus;

x = ±2√10