What is the volume of a triangular prism whose base has an area of 38.2mm and heigh of the prism meausers 14mm?

Answer:

17) [tex]- \frac{3}{2}[/tex]

18) [tex]\frac{5}{4}[/tex]

19) [tex]-\frac{1}{2}[/tex]

20) [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Slope intercept form: y = mx + b

y = (x , y)

x = (x , y)

slope = m

b = y-intercept

~

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

17) -4y + 16 = 6x

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 16 from both sides of the equation:

-4y + 16 (-16) = 6x (-16)

-4y = 6x- 16

Next, divide -4 from both sides of the equation:

(-4y)/-4 = (6x - 16)/-4

y = (6x)/-4 + (-16)/-4

y = -3x/2 + 4

Slope: [tex]-\frac{3}{2}[/tex]

~

18) 0 = -12y -36 + 15x

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 12y to both sides of the equation:

0 (+12y) =  - 12y (+12y) + 15x - 36

12y = 15x - 36

Next, divide 12 from both sides of the equation to isolate the variable, y:

(12y)/12 = (15x - 36)/12

y = (5/4)x - 3

Slope: [tex]\frac{5}{4}[/tex]

~

19) 3x = -6y

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

Divide -6 from both sides of the equation:

(3x)/-6 = (-6y)/-6

y = 3x/-6

y = -(3/6)x

Simplify. Divide common factors from both the numerator and denominator.

-(3/6)/(3/3) = - 1/2

Slope: [tex]-\frac{1}{2}[/tex]

~

20) -2x -5 = -5y

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

Divide -5 from both sides of the equation:

(-2x - 5)/-5 = (-5y)/-5

y = (-2x - 5)/-5

y = (2/5)x + 1

Slope: [tex]\frac{2}{5}[/tex]

Answer:

subject?

Step-by-step explanation:

The inferences given can be concluded as (a) Agree, (b) Disagree, (c) Agree, (d) Disagree and (e) Disagree

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given two equations made each by Keiko and Eric. They are,

Keiko : t = -1.63a + 92.14

Eric : t = -1.05a + 80.97

(a) As the value of a increases, the value of t decreases for both of the equations.

So the first statement is true.

(b) When a = 20 and 30, t = 59.54 and 43.24 in the equation of Keiko.

When a = 20 and 30, t = 59.97 and 49.47 in the equation of Eric.

On an average, Eric's equation gives more t.

So second statement is false.

(c) t = 92.14 and t = 80.97 when a = 0.

A person with 0 years old cannot end texts.

So y intercept does not have a relevant meaning.

So c is also true.

(d) -1.63 and -1.05 is the slope of the corresponding lines.

This means that for every 1 year increase in age, the number of text messages decreased by 1.63.

So this is false.

(e) Similarly, in case of Eric's equation, for very 1 year increase in age, the number of text messages decreased by 1.05.

This is also false.

Hence the inferences are either agreed or disagreed as explained.

Learn more about Equations here :

https://brainly.com/question/16038959

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Answer:

180degreesStep-by-step explanation:

Given the complex value

z² = -81i

z = (-81i)^1/2

Get the argument of -81i

theta = arctan(y/x)

theta = arctan(-81/0)

theta = -90degrees

theta = -π/2

Since tan is negative in the secind quadrant

theta =  π - π/2

theta = π/2

According to demoivres theorem

theta = 1/2 * π/2

theta = π

theta = 180degrees

Answer:

Alice is wrong kate is taller than Alice

Step-by-step explanation:

because Alice is 5'1 and Kate is 5'2

Answer:

17

Step-by-step explanation:

-5 is 17 points away from 12.

Answer:

I believe this could happen 27 different ways.

Step-by-step explanation:

Answer:

3.2

Step-by-step explanation:

Find the number in the tenth place  

2

and look one place to the right for the rounding digit  

4

. Round up if this number is greater than or equal to  

5

and round down if it is less than  

5

.

Answer:

D

Step-by-step explanation:

Answer:

B. Period 1 had scores that were less spread out around the mean than

Period 2

Step-by-step explanation:

Because the standard deviation of Period 2's scores is greater than that of Period 1's, the test scores for Period 2 are going to be more spread out than Period 1's test scores. B is the most logical choice in this case.

Answer:

200+400=600

400/600=2/3=66.6%

Answer:

the answer is 12.8

Step-by-step explanation:

Answer:

14 [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

3*4 [tex]\frac{4}{5}[/tex]

4 [tex]\frac{4}{5}[/tex] = [tex]\frac{24}{5}[/tex]

[tex]\frac{3}{1} * \frac{24}{5}[/tex]= [tex]\frac{72}{5}[/tex]

[tex]\frac{72}{5}[/tex] to a mixed number

[tex]\frac{72}{5}[/tex]= 14.4 =14

72-(5*14)=2

14 [tex]\frac{2}{5}[/tex]

Answer: 3. 135°

Step-by-step explanation: supplementary angles are angles that add up to 180° thus 180-45=135

Hope this helped!

Answer:

Hello! answer: 12.56

Step-by-step explanation:

Area for circles is found be doing

radius × radius × pi since we arent given radius we have to figure it out. But what we do know it diameter is just 2 times the radius so to undo that to find our radius we just do 4 ÷ 2 and 4 ÷ 2 = 2 so 2 is our radius now we will square it which is just fancy for multiply is by itself so 2 × 2 = 4

4 × 3.14 = 12.56 So 12.56 is our area! Hope this helps you!

Answer:

30%

Also I LOVE THE EMMA PIC!!!!!!!!

Answer:

7^2

Step-by-step explanation:

7*7=49

4^3=43

49>43

Answer:

C - 129

Step-by-step explanation:

180-51=129

Answer:

x = 35

y = 95

Step-by-step explanation:

(For y) The measure of a line is 180 degress. 180 - 95 - 50 = 35.

(For x) The measure of a triangle is 180 degress. 180 - 50 - 35 = 95.

Answer:

x = 85, y = 45

Step-by-step explanation:

solving for x:

180 - 95 = 85

solving for y:

85 + 50 = 135

180 - 135 = 45

Good luck on your schoolwork

Answer:

No

Step-by-step explanation:

it doesnt add up to 180 degrees

Use the triangle inequality theorem.

Add two sides together and see if it is greater than the length of the 3rd side:

28 + 41 = 69 which is greater than 13

41 + 13 = 54 which is greater than 28

28 + 13 = 41 this is equal to the 3rd side length of 41 and not greater than 41

Because 28 + 13 is not greater than 41 those 3 lengths cannot make a triangle.

Answer:

-14

Step-by-step explanation:

(-12)+(-2)

You solve using Pemdas, doing the (-8/4) first, and then doing (-6)(2)

The answer is the two values added together.

[tex]2 \frac{1}{7} [/tex]

is the answer

Answer:

answer: 2 1/7

Hope this helps

Answer:

23^(a+b)

Step-by-step explanation:

23^a x 23^b =23^(a+b)

Answer:

2.4x+30

Step-by-step explanation:

(6*0.4x)+(6*5)

2.4x+30

Answer:

27 cents

Step-by-step explanation:

10% of 90= 9

9x3=27

Answer:

p x t x r / 100

90 x 10 x 3 / 100

=27

Answer: Pretty sure the answer is 3.

Step-by-step explanation:

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

[tex]\frac{2(11)-7}{5}[/tex]

[tex]\frac{22-7}{5}[/tex]

[tex]\frac{15}{5}[/tex]

Answer:

The common ratio is 1.2.

After 12 weeks the plant will be 4.46 meters long.

After one year the plant will be 6,552.32 meters long.

Step-by-step explanation:

Given that a marrow plants 0.5 m long and every week it grows by 20%, to find the value of the common ratio, calculate how long the plant is after 12 weeks and comment on the predicted length of the marrow after one year must be performed the following calculations:

0.50 x 1.2 ^ X = Y

Therefore, the common ratio is 1.2.

0.50 x 1.2 ^ 12 = Y

0.50 x 8.916 = Y

4.4580 = Y

Therefore, after 12 weeks the plant will be 4.46 meters long.

0.50 x 1.2 ^ 52 = Y

0.50 x 13,104.63 = Y

6,552.32 = Y

Therefore, after one year the plant will be 6,552.32 meters long.