What is the surface area of the triangular prism shown?

Answer:

x >13/9

Step-by-step explanation:

(1/4)(5x−3) > (1/2)x + (1/3)

Distribute

5/4x - 3/4 > 1/2x + 1/3

Multiply each side by 12 to get rid of fractions

12*5/4x -12* 3/4 >12* 1/2x +12* 1/3

15x -9 > 6x +4

Subtract 6x from each side

15x-6x-9 > 6x-6x+4

9x -9> 4

Add 9 to each side

9x-9+9 > 4+9

9x > 13

Divide by 9

9x/9 >13/9

x >13/9

Answer:

Explanation:

it should be 271.94

Answer:

299/100*85=$254.15 + 7% = 254.15/100*107= $ 271.9405

Step-by-step explanation:

1. $299/100*85=$254.15 + 7% sales Tax =  $ 271.9405

Answer:

[tex]x=50[/tex]

Step-by-step explanation:

An isosceles triangle has both two equal sides and two equal angles.

[tex]180-80[/tex]

[tex]100/2[/tex]

Answer:

4 yards

Step-by-step explanation:

the formula for finding the volume of a shape is volume= to length times with times how tall it is. In this case we do not have the hight so we make a formula. 5 and 3/4 times 10 times hight = to 230. If you do the math you get 4 yards as the answer.

Answer:4 yards

Step-by-step explanation:

Answer:

141

Step-by-step explanation:

We need to first find the volume of the cannonballs and then, divide the volume of the closet by the volume of the cannonballs.

The radius of the spherical cannonball is 0.75 feet.

The volume of a sphere is:

[tex]V = \frac{4}{3} \pi r^3[/tex]

where r = radius

Therefore, the volume of the cannonballs is:

[tex]V = \frac{4}{3} * \pi * 0.75^3\\\\V = 1.77 ft^3[/tex]

Therefore, the number of cannonballs that can fit the closet is:

250 / 1.77 = 141.24

Since the number is a maximum and it must be a whole number, the number of cannonballs that can fit the closet is 141.

Answer & Step-by-step explanation:

When we see (f + g)(x), it means that we are adding together f(x) and g(x).

f(x) = 4x + 1

g(x) = x² - 5

(f + g)(x) = (4x + 1) + (x² - 5)

Combine like terms and make sure x² is in the front of the expression so you are following the rules of exponents when in standard form.

(f + g)(x) = x² + 4x - 4

So, (f + g)(x) equals x² + 4x - 4

Answer:

42%

Step-by-step explanation:

there are 4 full colums (sorry for spelling, not english) that have 10 levels each, that add up to 40. then you sum the extra two squares

sorry, i didnt know it required explanation!

Answer:

We can find out how many columns are shaded and we can see that 4 full columns are shaded. Then we count 2 extra squares. We multiply the columns by 10 and get 40. Then we add the extra squares at the end and get 42. Therefore the answer is:

Answer:

The answer to this question can be described as follows:

-5 with multiplicity 3

9 with multiplicity 2

-1 with multiplicity 1

Step-by-step explanation:

Given:

[tex]\Rightarrow f (x) = (x + 5)^3(x - 9)^2(x + 1)[/tex]

Solve the above equation:

[tex]\Rightarrow f (x) = (x + 5)(x + 5)(x + 5)(x - 9)(x - 9)(x + 1)\\[/tex]

The roots of the polynomial are as follows:

 [tex]\Rightarrow (x-x_1)(x-x_2)(x-x_3)......(x-x_n)\\\\\Rightarrow x_1,x_2,x_3.........x_n[/tex]

That's why the roots are:

5 with multiplicity 3

9 with multiplicity 2

-1 with multiplicity 1

Answer:

answer:

a. -5 with multiplicity 3  

d. 9 with multiplicity 2

f. -1 with multiplicity 1

Step-by-step explanation:

Answer: 72 beads

Step-by-step explanation:

From the question, we have the information that Johnathan picked colored beads from a jar 50 times and replaced the bead each time. Jonathan picked a red bead 12 times, yellow bead 14 times, and a blue bead 24 times.

Out of 50 picks, the following beads were picked:

Red = 12

Yellow = 14

Blue = 24

Total = 50

Fraction of blue bead = 24/50 × 100

= 48%

The blue beads that Johnathan will pick out of 150 beads will be:

= 48% of 150

= 48/100 × 150

= 0.48 × 150

= 72 blue beads

Jonathan will pick 72 blue beads out of 150 beads.

Answer:

72 beads

:):):):):):):):)

Answer:

Step-by-step explanation:

For every hour she earns 12$

The correct statement about the graph is for each hour Lisa earns $12. This can be obtained by studying the graph.

By observing the graph we can say that Earnings are directly proportional to Time.

Taking any point on the graph, for example (24,2) we can say that for 2 hours Lisa earns $24 ⇒ for 1 hour she earns $12 .

Hence the correct statement about the graph is for each hour Lisa earns $12.

Learn more about graph problems here :

brainly.com/question/23859283

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Answer: m√M = 98°

Step-by-step explanation:

x + x + 6 + 3x - 16 = 180

5x - 10 = 180

5x = 180 + 10

x = 190 / 5 = 38

m√M = 3x - 16

= 3(38) - 16

= 98°

Answer:

m<M = 98 deg

Step-by-step explanation:

Theorem

The sum of the measures of the angles of a triangle is 180 degrees.

Now we set the sum of the measures of the angles equal to 180 and solve for x.

3x - 16 + x + 6 + x = 180

5x - 10 = 180

5x = 190

x = 38

Now that we know x, we substitute x with 38 in the expression for the measure of angle M.

m<M = 3x - 16

m<M = 3(38) - 16

m<M = 114 - 16

m<M = 98

Answer:

p = - 5i or p = 5i

Step-by-step explanation:

Noting [tex]\sqrt{-1}[/tex] = i

Given

p² = - 25 ( take the square root of both sides )

p = ± [tex]\sqrt{-25}[/tex] = ± [tex]\sqrt{25(-1)}[/tex] = ± 5i

Thus

p = - 5i or p = 5i

Because p squared is equal to -25, the square root of -25 is equal to p.

Because of this, finding the square root of -25 will give us our answer.

[tex]\sqrt{-25}[/tex] = 5i

Therefore, p = 5i or p = [tex]\sqrt{-25}[/tex].

Hope this helped! :)

Answer: D

Step-by-step explanation:

the scale factor is 6

Triangle ABC  has the lengths  4,2,4   and DEF has the lengths 24,12,24

so for the triangle ABC's lengths to become triangle DEF  is is supposed to be multiplied by 6

4*6= 24

2*6= 12

4*6= 24

Answer:

Stem    Leaf

2              8

3              4, 4

5              0, 4

Answer: q = 25 m, p = 50 m

Step-by-step explanation:

The volume of the given pyramid is 106.1 cubic foot.

Given:

The perimeter of the base is 15.8 feet

The base of the pyramid is square given of side say L .

Thus, from the formula of perimeter of square,

⇒ 4*L = 15.8 feet

∴  L = 3.95 feet

Now the base area of the pyramid is [tex]L^{2}[/tex] as it is a square .

∴ Base area = 3.95*3.95 square feet

= 15.6025 square foot

Now, formula for volume of the pyramid

=  1/3 * base area * height

⇒ Volume = 1/3 * 15.6025 * 20.4 cubic foot

∴ Volume = 106.097 cubic foot

Thus volume of the given pyramid is 106.1 cubic foot rounded off to nearest tenth.

To Learn how to calculate volume of a pyramid, refer:

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Answer:

34

Step-by-step explanation:

4+15+15

Answer:

Area= 34cm squared

Answer:

He can work a maximum of 2 8-hour days for the remainder of the week

Step-by-step explanation:

Firstly, from the question, we are made to know that the maximum work hours is 40 hours.

Now, we know that he has already worked 24 hours this week, the number of hours remains to work will be 40-24 = 16 hours

Now, given that his working hour is 8-hours per day, we want to know the number of days he has to work for the remainder of the week

Mathematically, that would be 16 hours divided by 8-hours days

That is 16/8 = 2

Answer:

2

Step-by-step explanation:

just took the test

Answer:

20 feet

Step-by-step explanation:

(7 1/3)3 = 22 feet

22 - 2 = 20 feet

Answer:

4 chairs for every table.

Step-by-step explanation:

Write a ratio:

12 chairs : 3 tables = 4 chairs : 1 table

4 chairs for every table.

There are 4 chairs for every table is equivalent to the given sentence " 12 chairs for every 3 tables"

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.

The given statement is "12 chairs for every 3 tables"

According to the given question, translate the phrase into an algebraic form :

We can write a proportion as

12 chairs : 3 tables = 4 chairs : 1 table

12 / 3 = 4 / 1

This means 4 chairs for every table.

Therefore, there are 4 chairs for every table is equivalent to the given sentence " 12 chairs for every 3 tables"

Learn more about the proportion here:

brainly.com/question/1504221

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Answer:

yes distribute . . .

Step-by-step explanation:

the 6 to the 9 and the 4

6(9) - 6(4)=30

Answer:

1/2

Step-by-step explanation:

Answer: 10

Step-by-step explanation:I like using this method:

Put a square which covers this triangle

Find the area of the rectangle which is 20

Half it which is 10

Now you have the area which is 10

Answer: The other answer is incorrect!

Step-by-step explanation:

An easier way is just imagine it being straight and not slanted. Counting the base its 3blocks and counting from the highest point all the way to the base its 4 blocks. Base=3 blocks and height=4 blocks. Substituting into the tirangle area formula which is b(h)/2 (base times height divided by 2).

You have 3x4=12.

Then 12/2=6 blocks

Therefore the area of the given triangle is 6 blocks squared (din)t forget the square).

The other answer is incorrect because this triangle is not half of this rectangle and in this question it’s just a grid (we have to use the grid)!

Trust me I know this.

Hope this helps!

Answer:

10x^4 - 4x + 6

Explanation:

Just take the width of the rectangle and multiply each number by 2, including the exponent.

Answer & Step-by-step explanation:

We can solve this problem by multiplying the the expression by 2 one term at a time just like it is shown in the diagram. Your exponent will remain the same.

(5x² * 2) + (-2x * 2) + (3 * 2)

10x² - 4x + 6

So, once you multiply th terms togehter, your final answer will (10x²-4x+6)

Answer:

Step-by-step explanation:

  -2/7+0 = 0+-2/7 . . . . commutative property of addition

The commutative property allows you to swap the order of operands being summed.

  0+-2/7 = -2/7​ . . . . identity element of addition

The identity element for addition is 0. That is, adding 0 to anything does not change its value.

Answer: the 5 in the parentheses on the second line should be negative. Also, where did the 23 go?? That's a mistake too.

Step-by-step explanation: 3 - 8 = -5 so

23(2 - 4) + 5(3 - 8)

23(-2) + 5(-5)

(-46) + (-25)

-71

(at least, I think so unless there was a mistake in the equation)

Answer:

A

Step-by-step explanation:

A is biased because those people at the grocery store will most likely like that grocery store, since they went there to shop in the first place.

B, C, and D are not biased because there is no correlation between the grocery store and the survey questions.

Option b) going to grocery store and asking people what type of food is their favourite

Answer:

An even number is a number that can be divided into two equal halves.

Also even numbers end in one of these digits: 0, 2, 4, 6, or 8

12 + 12 + 12 + 12 = 48

48 with the digit 8

48 divided in half gives two equal halves:

48/2 = 24

The number 24 can be added twice to check that the answer is correct:

24 + 24 = 48

So to summarize:

The sum of 12 + 12 + 12 + 12 is an even number because it can be equally divided in two halves and it ends in the digit 8.

hope this helps and please make me brainliest if it did :)