Draw a net of the triangular prism and label each face with its surface area. Use the net of the three-dimensional triangular prism to find the surface area of the solid. 13 points

Answer:

  m∠F = 66°

  m∠D = 57°

Step-by-step explanation:

It looks like you have ...

  ∠D = ∠E = (4x +1)°

  ∠F = (5x -4)°

The sum of the angles in the triangle is 180°, so we have ...

  2(4x +1) +(5x -4) = 180

  13x -2 = 180

  x = 182/13 = 14

Then the angle measures are ...

  ∠D = ∠E = (4(14) +1)° = 57°

  ∠F = (5(14) -4)° = 66°

__

m∠F = 66°

m∠D = 57°

Answer:

Blanks in order: Multiplication/multiplying, -7.6-4.4, -12

Step-by-step explanation:

Hi there!

[tex]-7.6-2(2.2)[/tex]

The order of operations: Parentheses, exponents, division/multiplication, addition/subtraction

After exponents is division and multiplication. Because there is no division in the expression, the next step would be multiplying 2 and 2.2:

[tex]= -7.6-4.4[/tex]

Now our final answer after simplifying the above would be:

[tex]= -12[/tex]

I hope this helps!

Answer:

Don't mark me I may be wrong

add,12.34, 13.06

Step-by-step explanation:

Answer:

  D.  m∡1 = 36°; m∡2 = 18°; m∡3 = 72°

Step-by-step explanation:

The 10 central angles are all the same for the regular decagon, so each is 1/10 of 360°. Angle 1 is 36°.

Angle 2 is half of angle 1, since the altitude shown is an angle bisector. Angle 2 is 18°.

Angle 3 is the complement of angle 2. It is the other acute angle in the triangle that has angle 2 marked. Angle 3 is 72°.

(3,2) isn’t a solution because it doesn't satisfy the equation also, the line on the graph doesn’t go through it .

We do same operations on both the sides so that equality of both expressions doesn't get disturbed.

Solving equations generally means finding the values of the variables used in it for which the considered equation is true.

The graph of the equation is given as y = -3/4x + 3.

We have to find if the point (3, 2) a solution to the equation.

So, we will subtitute the point to to satify the equation;

y = -3/4x + 3.

y = -3/4(3) + 3

y = -9 / 4 + 3

y = 3/3 = 1

Thus, (3,2) isn’t a solution because it doesn't satisfy the equation also, the line on the graph doesn’t go through it .

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Hey there! I'm happy to help!

In our problem, 100 is a certain percent of 80. When talking about percents, the word "is" means equals. Let's represent our certain percent with p and solve for it.

100=80p

Let's flip the equation around so p is on the left side.

80p=100

We divide both sides by 80.

p=1.25

As a percent, the increase is 125%.

Have a wonderful day!

Answer:

300 ft²

Step-by-step explanation:

Surface area= area of base + 4*area of triangle

a= 10 ft

h= 10 ft

Surface area:

Answer:

The 8 pack is the better deal.

Step-by-step explanation:

To get the answer you do the following:

Find the price of one pack for each;

1/12*5= $0.42( cost of one pack for the 12 pack part)

1/8*3= $0.38( cost of one pack for the 8 pack part)

The answer is that the 8 pack is cheaper .

Answer:

Step-by-step explanation:

You didn't include any graphs, so I can't tell you which one it is. However, the graph of [tex]f(x)=\sqrt{x+5}[/tex] looks like this:

Hope this helps!

The graph of the function [tex]\rm f(x) = \sqrt{x+5}[/tex] is attached below and this can be determined by using the rules of transformation.

Given :

[tex]\rm f(x) = \sqrt{x+5}[/tex]

The following steps can be used in order to sketch the graph [tex]\rm f(x) = \sqrt{x+5}[/tex]:

Step 1 - The rules of transformation can be used in order to sketch the graph [tex]\rm f(x) = \sqrt{x+5}[/tex].

Step 2 - First draw the graph of [tex]\sqrt{x}[/tex] which is in the shape of a parabola.

Step 3 - Now, translate the graph in the left direction, So the function of the graph obtained is [tex]\rm f(x) = \sqrt{x+5}[/tex].

The graph of the function [tex]\rm f(x) = \sqrt{x+5}[/tex] is attached below.

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Answer:

Part A: 5 inches³.

Part B: 302 inches³.

Part C: Yes. Explanation below.

Step-by-step explanation:

Part A: The cookie sandwiches appear to be flat cylinders. The volume for a cylinder is pi * r^2 * h.

In this case, the h = 1 inch and r = 1.25 inches.

pi * 1.25^2 * 1

= pi * 1.5625

= 3.14 * 1.5625

= 4.90625.

So, the volume of a single cookie sandwich is about 5 inches³.

Part B: As stated before, the volume of a cylinder is pi * r^2 * h.

In this case, the r = 4.5 inches, and the h = 4.75 inches.

pi * 4.5^2 * 4.75

= 3.14 * 20.25 * 4.75

= 63.585 * 4.75

= 302.02875.

So, the volume of the food storage container is about 302 inches³.

Part C: Given the calculations from Parts A and B, Jenny will be able to transport all the cookie sandwiches in the food storage container. This is because there are 56 cookie sandwiches, each with a volume of 5 cubic inches. That means that the cookie sandwiches will take up 5 * 56 = 280 cubic inches of space. There is about 302 cubic inches of space in the container, so there will still be 22 cubic inches of air inside the container after the cookies are inside.

Hope this helps!

Answer:

Part A: 5 inches^3

Part B: 302 inches^3

Part C: Yes, Jenny will be able to transport all the cookie sandwiches in the food container. This is because there are 56 cookie sandwiches and they each have a volume of 5 cubic inches. So, 56 times 5 equals 280 cubic inches of space. There are 302 cubic inches inside the container, so all the cookie sandwiches will fit inside.

Answer

90

Step-by-step explanation:

If for 2 weeks there are 15 then there are 4 weeks in 1 month = €30 + €30 + €30 = €90

Answer:

Hello,

Step-by-step explanation:

The first number is

[tex]\dfrac{8}{12}[/tex]

The second number is

[tex]\dfrac{9}{12}[/tex]

Their sum is:

[tex]\dfrac{8}{12} +\dfrac{9}{12} =\dfrac{8+9}{12}=\dfrac{17}{12}[/tex]

Answer:

67

Step-by-step explanation:

Answer:

1/5 000 000

Step-by-step explanation:

1050km is equal to 105 000 000cm

105 000 000 ÷ 21= 5 000 000

So the scale is 1/5 000 000.

Answer:

6 ÷ 6 + 6 x 6

Step-by-step explanation:

Hope this helps :D

Answer:

the guy is right

Step-by-step explanation:

Answer:

-22 - 2 = -24

Step-by-step explanation:

The answer space already has the minus sign so we can infer the number line is showing subtraction.

We start from -22 and jump to -24. This number line skip counts by 2 and we only jumped one unit, it means we subtracted by 2.

So we subtracted -22 by 2 and it is equal -24:

-22 - 2 = -24

Hope this helps!

Answer:

a) Grocery Store: $9.71

b) Other purchases: $6.71

Step-by-step explanation:

a) 485.72 x 0.02 = 9.71

b) 671.28 x 0.01 = 6.71

Don't forget the labels!!

Answer:

8

Step-by-step explanation:

Since this isosceles triangle has been broken down into two right triangles, and we already know that two sides are the exact same (note that there are 2 x's) that means BD and BC are going to be the exact same length. Since BD is 4, that means BC will be 4, and that means

[tex]4+4=8[/tex]

Hope this helped!

Answer:

Jacob is 4 years old and his mother is 40 years old.

Step-by-step explanation:

Part 1: The linear equations are  and

Part 2: Solving the equations, we have,  and

Part 3: Jacob is 4 years old and his mother is 40 years old.

Explanation:

Part 1: Let j represent Jacob's age, and let m represent his mother's age.

It is given that, "Jacob's mother is three more than nine times as old as Jacob". Writing it as linear equation, we have,

It is also given that, "In eleven years, his mother will be five more than three times his age". Writing it as linear equation, we have,

Simplifying this, we get,

Thus, the linear equation is

The linear equations are   and

Part 2: Solving the linear equation, we get,

Substituting  in

Simplifying, we get,

Hence,

Substituting  in

Solving the equations, we have,  and

Part 3: Since, j represents jacob and m represents the jacob's mother

Thus, Jacob is 4 years old and his mother is 40 years old.

Answer:

6/8 of a mile,

Step-by-step explanation:

if one furlong is 1/8 of a mile, the 6 shall be 1/8 added to itself 6 times, therefore it shall be 6/8.

Answer:

3/4 of a mile

Step-by-step explanation:

1 furlong = 1/8 mile

========     ====

6 forlongs = x

cross multiply

1*x = 6 * (1/8)

x = 6/8

reduce 6/8. Divide top and bottom by 2

x = 3/4

Answer:

7 units

Step-by-step explanation:

(number line:)

<- -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ->

         there are 7 units from 1 to -6 (you don't count the 0)

(I'm not sure if you understood my explanation, but I do am sure about the answer, so if there is something you didn't understand let me know, and which part are you confused about so I can help you out!)

Answer:

[tex]\huge\boxed{\sf 7\ units}[/tex]

Step-by-step explanation:

To find that how much far they are from each other, we can subtract both of them.

=> 1 - (-6)

=> 1 + 6

=> 7 units

So, they are 7 units apart from each other.

Answer:

[tex]\frac{sin(51)}{2.6}=\frac{sin(76)}{z}[/tex]

Step-by-step explanation:

The sine rule states that for a triangle angles ∠A, ∠B, ∠C and the sides opposite to the respective angles are a, b and c. This formula holds:

[tex]\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}[/tex]

From the diagram attached given that ∠Y = 51° and the side opposite to ∠Y is 2.6, ∠Z = 76° and the side opposite ∠Z is z. Using sine rule to find z this formula is used:

[tex]\frac{sin(Y)}{y} =\frac{sin(Z)}{z} \\\frac{sin(51)}{2.6}=\frac{sin(76)}{z}[/tex]

Answer:

A

Step-by-step explanation:

Edg 2020

Answer:

36

Step-by-step explanation:

(216) ^ (2/3)

Rewriting 216 as 6^3

(6^3) ^ (2/3)

We know that a^ b^c = a^ (b*c)

6 ^ (3*2/3)

6^2

36

Hey there! I'm happy to help!

We want to put this 0.002 into scientific notation, where you put it as a one digit number multiplied by 10 raised to a certain power.

If we move the decimal to the right 3 times, we will have 2. We will multiply this 2 by [tex]10^-^3[/tex] to show that it is still equal to 0.002.

So, the mass of the mustard seed is 2×[tex]10^-^3[/tex].

Now, we multiply this mustard seed mass by the number of mustard seeds to find the weight of all of the mustard seeds combined.

(2×[tex]10^-^3[/tex])×(4.3602×[tex]10^4[/tex])

Let's round 4.3602 to the nearest whole number, which is 4. We multiply those two together.

2×4=8

And we multiply the two exponents. When multiplying them, you add the numbers in the exponent. -3 and 4 combined gives us 1, and 10 the first power is just 10.

So, a good estimate for the mass of the mustard seeds is 80 grams, which is the same as (2×[tex]10^-^3[/tex])×(4×[tex]10^4[/tex])=8×[tex]10^1[/tex]

Have a wonderful day! :D

Answer:

Hey There!! The answer to this is B: The mass of a single seed can be written as

There are total of seeds in the jar

Total mass is the multiplication of these both numbers.

Since we want an estimate, we can use 4 instead of 4.3602 in the 2nd number.

The rule to multiply two numbers in scientific notation is:

So using this formula we multiply the 2 numbers and get answer as follows:

Thus, Answer choice B is right.

Hope It Helped!~ ♡

ItsNobody~ ☆

Step-by-step explanation:

The three main types of exercise are cardiovascular exercise, strength training and stretching. All three types of exercise are important for physical fitness. Cardiovascular aerobic exercise is repetitive, rhythmic exercise that increases your heart rate and requires you to use more oxygen.

Answer:

6.67

Step-by-step explanation:

Answer:

[tex]f(1)=-48(-\frac{1}{4} )[/tex]

[tex]= 12[/tex]

[tex]f(n)=f(n-1)\:. (-\frac{1}{4} )[/tex]

OAmalOHopeO

Answer:

y=¾(4x-20)

y=3x-15

Final answer= y - 3(x+12)

=y - 3x-36

=3x-15-3x-36

= -51

Answer:

The answer is -51

Step-by-step explanation:

Answer:

1.  Determined

2. area of study

3. artistic writing

Step-by-step explanation:

Hope this helps! <3

Answer:

✔ determined

✔ area of study

✔ artistic writing

Explanation:

Answer:

Area = 2127.1 cm^2  (to the tenth)

Step-by-step explanation:

We may be missing the length of a side at the top of the picture.

However, we are given "a", so the sides of a regular hexagon can be calculated.

The side of a regular hexagon given "a" is

s = 2a/sqrt(3) = 28.61

Perimeter of hexagon

= 6s

Area of hexagon

= a*perimeter/2

= a*6s/2

= 3as

= 3a*2a/sqrt(3)

=2sqrt(3)a^2

= 2*sqrt(3)*24.78^2

= 2127.1 cm^2  (to the tenth)

Option 4 is correct, Teresita worked 15 hours during the second week.

Given that Teresita worked [tex]1\frac{1}{2}[/tex]  times the number of hours during the second week.

Therefore, she worked 1.5x hours during the second week.

The total number of hours she worked during the two weeks is given as 25.

So we can set up the equation:

x + 1.5x = 25

Combining like terms, we have:

2.5x = 25

Dividing both sides of the equation by 2.5, we get:

x = 25/2.5

x = 10

Therefore, Teresita worked 10 hours during the first week.

To find the number of hours she worked during the second week, we can substitute this value back into the equation:

1.5x = 1.5 × 10

= 15

Therefore, Teresita worked 15 hours during the second week.

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Answer:

9 hours

11 hours

19 hours

9 hours, 11 hours, and 19 hours.

We can see that the given graph has both a climb and a fall.

The descending section of the graph shows a decline in battery life, and the rising part shows an increase in battery life.

The battery life increases while it is being charged.

Then, the increasing or steady component of the hours refers to the period of time Rory's phone might have been plugged into the charger.

Therefore, the times that this occurs are 9 hours, 11 hours, and 19 hours based on the selections provided.

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