Calculating the Surface Area of a Triangular Prism The triangular prism shown has 1235 triangular face(s) and 1235 lateral face(s). The area of one triangular face is 7.58.1251517 mm2. The surface area of the triangular prism is 55.5127.5135150 mm2.

Answer:

5400$

Step-by-step explanation:

First, you need to figure out 8% of 500$.

That is 40$.

Now, you need to multiply 500 by 10, because there are 10 years.

That is 5000$

Now, we need to add the 8% that was added each year. So we do 40$ times 10.  400$

Then we add the 5000 and 400.

The answer is 5400$

I really hope this helped you! So sorry if it doesn't!

Answer:

(A)[tex]56.5^\circ[/tex]

Step-by-step explanation:

From the diagram attached:

Angle 1 and Angle 6 are Co-Interior Angles.

The sum of co-interior angle is 180 degrees.

Therefore:

[tex]m\angle 1+ m\angle 6=180^\circ\\\\m\angle 6=123.5^\circ,$ therefore:\\m\angle 1+ 123.5^\circ=180^\circ\\m\angle 1=180^\circ-123.5^\circ\\m\angle 1=56.5^\circ[/tex]

The measure of angle 1 is therefore 56.5 degrees.

The correct option is A.

∠6 and ∠1 are same-side interior angles, m∠6 = 123.5°, therefore m∠1 will be: A. 56.5°

Recall:

The image showing the two parallel lines that is cut by a transversal creating angles is shown in the diagram attached below.

Given:

m∠6 = 123.5°

∠6 and ∠1 are same-side interior angles.

m∠6 + m∠1 = 180°

123.5° + m∠1 = 180°

m∠1 = 180° - 123.5°

m∠1 = 56.5° (Option A)

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Answer: 10.2

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

8 minus 16 equals to a negative answer, resulting to -8.

Answer:

x = 8

Step-by-step explanation:

Add 16 to both sides of the equation.

x = −8 + 16

Add − 8 and  16

 x = 8

Answer:

Step-by-step explanation:

18/30 becuase 30 have a cat and 18 have both.

18/30 = 6/15

I'm always happy to help :)

Answer:

-2

Step-by-step explanation:

x-value of the vertex is -2.

The vertex formula helps to find the vertex coordinates of a parabola. The standard form of a parabola is [tex]y = ax^{2} + bx + c.[/tex] The vertex form of the parabola  [tex]y=a(x - h)^{2} + k.[/tex]

Given

[tex]f(x)=(x+2)^{2}- 1[/tex]............................(1)

The vertex formula helps to find the vertex coordinates of a parabola.

The standard form of a parabola is [tex]y = ax^{2} + bx + c.[/tex]

The vertex form of the parabola  [tex]y=a(x - h)^{2} + k.[/tex]

By comparing vertex form of parabola in equation 1

a = 1, h = -2 , k = -1

Hence, x-value of the vertex is -2

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Answer: C

Step-by-step explanation:

Make them both equal to 0

Answer:

answer is c

Step-by-step explanation:

Answer:

n = 7

Step-by-step explanation:

[tex]Area \: of \: \triangle = \frac{1}{2} \times base \times height \\ \\ 12 = \frac{1}{2} \times (n + 5) \times (n + 5 - 10) \\ \\ 12 \times 2 = (n + 5)(n - 5) \\ \\ 24 = {n}^{2} - {5}^{2} \\ \\ 24 = {n}^{2} - 25 \\ \\ 24 + 25 = {n}^{2} \\ \\ {n}^{2} = 49 \\ \\ n = \pm \: \sqrt{49} \\ \\ n = \pm \: 7 \\ \\ n = - 7 \: \: or \: \: n = 7 \\ [/tex]

Answer:

n = -7 ∪ 7

=> n = |7|

Step-by-step explanation:

S = 12cm = (n + 5) * (n + 5 - 10) / 2

[tex]S = 12cm = \frac{(n + 5) * (n + 5 - 10)}{2}\\\\=> 12 = \frac{(n+5)(n-5)}{2} \\12 = \frac{n^2-25}{2} \\24 = n^2 - 25\\-n^2 = -25 - 24\\-n^2 = - 49\\n^2 = 49\\n = |7| =>\\ x_1 = -7\\x_2 = 7\\[/tex]

Answer:

32 servings

Step-by-step explanation:

Take the amount of honey and divide by the size of a serving

8 ÷ (1/4)

Copy dot flip

8 * 4/1

32

There are 32 servings

Answer:

32 servings

Step-by-step explanation:

Answer:

$1.80

Step-by-step explanation:

(190+120+90+50)/250= a total expected payoff of 1.8 dollars. Hope this helps!

Answer:

Step-by-step explanation:

Think of the outside function as a scaling quantity. You are applying that outside term to each and every term on the inside, Thats the basis for the distributive property.

1.)3 x 2 + 3 x 8 = 24

Now that you got the steps down, ima do the rest in my head

2.) 2

3.) -10

4.) -50

Answer:

Step-by-step explanation:

Distributive property: a(b +c) = ab + ac

                                    a(b - c) = ab - ac

1) 3(2 + 8) = 3*2 + 3*8

                = 6 + 24

                = 30

2) (-3 + 4)2 = -3*2 + 4*2

                 = -6 + 8

                = 2

3) -5(4 - 2) = -5*4 - (-5)*2

                 = - 20 + 10

                = -10

4)(12 +13)(-2) = 12*(-2) + 13 *(-2)

                    = -24 - 26

                    = -50

Answer: A line that splits an angle into two equal angles.

Step-by-step explanation:  ("Bisect" means to divide into two equal parts.)

Bisecting angles: A line that splits an angle into two equal angles.

Answer: C. I hope this helps ❤️.

Answer:

the correct answer is c

Step-by-step explanation:

The slope of the given line is -3/4.

Any line perpendicular to this one will have slope -1/(-3/4) = 4/3.

Use the given point and the point-slope formula to get the equation of the particular line:

y - (-1) = 4/3 * (x - 0)

y + 1 = 4x/3

y = 4x/3 - 1

Answer:  5 Hz

The frequency is the inverse of period... Them:

[tex]f=\frac{1}{T}=\frac{1}{0.2}=5 Hz[/tex]

Answer:

27

Step-by-step explanation:

#3 is 1/3^3, and #4 is 1/x. The x is obviously 3^3 simplified, which is 27.

I see that you are in high school. Im in 7th grade and i can do this lol.

Answer & Step-by-step explanation:

We use decimals every day while dealing with money, weight, length etc. Decimal numbers are used in situations where more precision is required than the whole numbers can provide. For example, when we calculate our weight on the weighing machine, we do not always find the weight equal to a whole number on the scale.

Step-by-step explanation:

The gender of a child which is either a boy or a girl is determined by the XX-chromosomes, or XY-chromosomes.

Since the couple plan to have 5 children, the chance of a child being a boy is equal to the chance of it being a girl - the chances are 50/50.

What we do to achieve our aim is to run a simulation that would add an X or Y to an X for all 5 children.

Doing this 125 times, we obtain the number of trials we desire.

For each trial, we get for each child, C:

C1: X + (X or Y)

C2: X + (X or Y)

C3: X + (X or Y)

C4: X + (X or Y)

C5: X + (X or Y)

Since the chance of having an X is equal to the chance of having a Y, they equal probability, which is 0.5 for each.

Step-by-step explanation:

4(3x-2) + 6x(2-1)

10x + 11x

21x

Answer:

18x - 8

Step-by-step explanation:

The length of the segment AB is 11

The given parameters are:

A = -4

B = 7

The length of the segment is calculated as:

AB = |A - B|

Substitute known values

AB = |-4 - 7|

Evaluate the difference

AB = |-11|

Take the absolute difference of 11

AB = 11

Hence, the length of the segment AB is 11

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Answer: 3y+6

Step-by-step explanation:

Answer:

Mr Y got 10 votes

Step-by-step explanation:

The election of the housing society has 30 voters. Each of them gives the vote. The three person vying for the post of secretary are X, Y and Z.

Le us calculate the votes of each contestant

Mr X

He got 2/5 of the total votes

number of votes = 2/5 × 30

number of votes = 60/5

number of votes = 12

Mr Z

He got 1/4 of the total votes

number of votes = 1/4 × 30

number of votes = 30/4

number of votes = 1/4 × 30

number of votes = 7.5 ≈ 8 votes

Mr Y

The remaining votes will be 30 - 12 - 8 = 10 votes

Therefore,

Mr Y got 10 votes

Answer:

Go to me. Click on your profile picture then click on your profile picture again to change it

Answer:

10 5/8

Step-by-step explanation:

Answer:

A: -4

B: 5

C: -2

Step-by-step explanation:

The equation we are given is 5x-4x²-2. We can rewrite this in order of standard form.

-4x²+5x-2

Now that we have the standard form, we can find a, b, and c. A, B, and C ar ethe coefficients of each term.

A: -4

B: 5

C: -2

Answer:

X/Y = 4/8= 1/2

Step-by-step explanation:

This is the answer of this question

Answer:

Density = 13.57 g/cm³

Step-by-step explanation:

▪Volume = 3 cm³

▪Mass = 40.7 grams.

▪Density (p) = Mass (m) ÷ Volume (v)

p = m ÷ v

p = 40.7 ÷ 3

p = 13.56666

p = 13.57 g/cm³

Answer:

3/10 m^2

Step-by-step explanation:

To calculate area of a triangle we multiply height with base and then divide that by 2

2/5 × 3/2 ÷ 2 = 3/10

Answer:

Area of the rectangle = 95 cm²

Step-by-step explanation:

Perimeter of the rectangle = Sum of the measures of the sides of the rectangle

From the figure attached,

Perimeter of the rectangle = 2[(3x -1) + (2x + 3)]

                                       39 = 2(5x + 2)

                                       39 = 10x + 4

                                      10x = 39 - 4

                                      10x = 35

                                          x = 3.5

Therefore, measure of the given sides will be,

Length = (3x - 1) cm

3x - 1 = (3×3.5) - 1

        = 10.5 - 1

        = 9.5 cm

Width = (2x + 3) cm

2x + 3 = (2×3.5) + 3

          = 7 + 3

          = 10 cm

Area of the rectangle = Length × width

                                   = 9.5 × 10

                                   = 95 cm²

Therefore, area of the rectangle is 95 cm².

Answer;

Option B is correct.

The function increases at a constant multiplicative rate.

Step-by-step Explanation:

Complete Question

A table representing the function f(x) = 2(3/2)ˣ is shown below. What is true of the given function?

x | f(x)

0 | 2

1 | 3

2 | 4.5

3 | 6.75

a) The function increases at a constant additive rate.

b) The function increases at a constant multiplicative rate.

c) The function has an initial value of 0.

d) As each x value increases by 1, the y values increase by 1.

Solution

The function provided is

f(x) = 2(3/2)ˣ

We will take as h of the options one at a time to investigate which one is true.

a) The function increases at a constant additive rate.

A function that increases at an additive rate is one whose value as x increases, also changes with a constant difference between consecutive terms. That is, the consecutive terms of the functions for consecutive whole number values of x, will be like an Arithmetic progression with a constant common difference. If this function increased at an additive rate,

f(1) - f(0) = f(2) - f(1) = f(3) - f(2)

Inserting the values

3 - 2 = 4 5 - 3 = 6.75 - 4.5

1 ≠ 1.5 ≠ 2.25

Hence, this statement isn't true.

b) The function increases at a constant multiplicative rate.

For the function to increase at a multiplicative rate, the consecutive terms of the functions for consecutive whole number values of x will behave like a geometric progression with a common ratio. That is, the division of the (n+1)th term and the nth term of the function will always be a constant. That is,

f(1) ÷ f(0) = f(2) ÷ f(1) = f(3) ÷ f(2)

Inserting the values

(3/2) = (4.5/3) = (6 75/4.5)

1.5 = 1.5 = 1.5

The ratio is truly constant, hence, we can conclude that this statement is true and the function increases at a constant multiplicative rate.

c) The function has an initial value of 0.

For this to be true, f(0) = 0.

But from the table, it is evident that f(0) = 2, hence, the initial value of the function isn't 0 and this statement is false.

d) As each x value increases by 1, the y values increase by 1.

We've already checked the difference between consecutive terms of the functions for consecutive whole number values of x, the difference includes, 1, 1.5 and 2.25. Hence, as each x value increases by 1, the y values do NOT always increase by 1 and this statement is false.

Hope this Helps!!!

Answer:

B

Step-by-step explanation: