10 Points!!!
A cheese is in the shape of right prism with a triangular base and its dimensions are as shown. What is the approximate surface area of this prism?
A. 72 cm ²
B. 79.8 cm ²
C. 82 cm ²
D.87.4 cm ²

Answer:

  500 cm³

Step-by-step explanation:

Using the given values in the given formula, we find the volume to be ...

  [tex]V=\dfrac{4}{3}\pi r^3\\\\V=\dfrac{4}{3}(3)(5\text{ cm})^3 = 4(125\text{ cm}^3) = \boxed{500\text{ cm}^3}[/tex]

The volume of the sphere is about 500 cubic centimeters.

_____

Additional comment

The actual value of pi would add about 4.72% to this figure, bringing the estimate to about 523.6 cm³.

Step-by-step explanation:      

Step 1: Formula

Solve for: Volume

Formula: V=4/3 πr^3

Explanation in words (Short Form)

-  The first step is to use the formula and simplify it. So first we will use the formula which is V = 4/3 π and then divide it by 3, 3 times.

- The second step is to solve and at the end the answer will result as 523.59. Here is the full explanation and how I solved it.

V = 4/3 π r³ = 4/3 × π × 5³ = 523.59878

Answer:  

V≈523.6

Full Answer: 523.59878 OR 500

Hope this helps.

Answer:

B)2

Step-by-step explanation:

We want to figure out the 415th digit of this repeating decimal.

[tex] \dfrac{2}{7} = 0. \overline{285714}[/tex]

Obviously it's almost impossible and absurd to find the answer by writing down all the 415 digits. So instead we're going to use some tricks to do so.

There're 6 repeating digits. dividing 415 by 6 yields 69.17. Now multiplying 69 by 6 yields 414 which means that the 414th digit of the repeating decimal would be the last digit of the repeating digits, that is,4 and hence The 415th digit of the repeating decimal is gonna be 2. Hence the answer is B

Answer:

168 cm²

Explanation:

Lateral surface area of triangular prism: (perimeter of base) × height

Here given:

So, lateral surface area:

= (4 + 6 + 4) × 12

= 168 cm²

Answer:

23

Step-by-step explanation:

To find the Greatest Common Factor, or GCF, we need to factor the first 2 numbers and then find the greatest number that is both present in the prime factorization of both numbers.

253 = 1 * 11 * 23

345 = 3 * 5 * 23

Since 23 is both present in both numbers and is the greatest, the GCF of 253 and 345 is 23.

Answer: A

Step-by-step explanation:

Let's fact check all the answer choices:

A. He used the commutative property

Well, the commutative property states that you can put the equation in any order and the result doesn't change. In step1, andrew makes the equation  -5.7+2.2 into 2.2-5.7. Both of these equations equal -3.5, so yes, he used the commutative property.

B.He used the distributive  property.

We know this is wrong because the distributive property involves multiplication. An Example of an equation that involves the distributive  property is 3(2+1), or 3x(2+1).

C. He used the associative property.

This is wrong because the associative  property involves grouping the equation into different parentheses , which doesn't happen.

D.  The answer is incorrect

Using a calculator , we know this is wrong.

Hope this helps :)) Also if i could have brainliest id really appreciate it :D

Answer:

4.6

Step-by-step explanation:

Answer:

1. 96%

2. $6000

3. 176

4. 20%

Step-by-step explanation:

1. 1/5 of 80% is 16%. 80+16=96

2. 25% of 8000 is 2000. 8000-2000= 6000.

3. 10% increase of 200 is 20. 20+200=220. 20 percent of 220 is 44. 220-44=176

4. if you increase the original salary by 20%, then decreasing it by 20% of the new salary will give you the old salary.

Answer:

63,000

Step-by-step explanation:

Answer:

There are 60 different outcomes.

Step-by-step explanation:

For each of these possibilities, there are four remaining possibilities for second place-we then multiply five and four. For third place, we have three remaining possibilities for each of the preceding results--calculate the product of five, four, and three, which is 60.

4*3*5=60

For more information https://www.universalclass.com/articles/math/statistics/probability-calculate-number-of-outcomes.htm#:~:text=For%20first%20place%2C%20there%20are%20five%20different%20possible,of%20five%2C%20four%2C%20and%20three%2C%20which%20is%2060.

  please give brainly:)

Answer:

Rose.

Step-by-step explanation:

21.147 may have the most numbers, but it is the smallest because there is a 1 in the tenths place

Answer:

60m³

Step-by-step explanation:

→ Work out the face area

5 × 3 = 15

→ Multiply by the length of prism

15 × 4 = 60m³

Answer:

60

Step-by-step explanation:

V = length x width x heigh

3 x 5 x 4 = 60

Answer:

3/5 of the students in the class are not in accounting majors

Step-by-step explanation:

The total number of males in the class is 3/8

3/5 of them are accounting majors

The ones who are not in accounting majors are;

3/8 - 3/5 = 9/40

The total number of female students in the class is;

8/8 - 3/8 = 5/8

1/4 of them are accounting majors

The ones who are not in accounting majors are;

5/8 - 1/4 = 3/8

Total number of students not in accounting majors;

9/40 + 3/8

= 24/40

= 3/5

Answer: G.

Step-by-step explanation:

The formula for a circle's circumference is C = 2[tex]\pi r[/tex]

r = radius

We know the rectangle ABCD has a perimeter of 72 cm.

The rectangle is divided into 6 perimeter sides: AP, PB, BC, CQ, QD, and DA.

If we divide 6 sides to the rectangle's perimeter, we can calculate the length of one side.

72 / 6 cm = 12 cm

A side of the perimeter of the rectangle ABCD is equal to 12 cm, which means PQ, the radius of the circle is equal to 12 cm.

C = 2[tex]\pi r[/tex]

radius = 12 cm

C = 2[tex]\pi[/tex] * 12 cm

C = 2 * 12 * Pi cm

C = 24[tex]\pi[/tex]

Answer = G.

Hope I Helped!

Answer:

24pi (G)

Step-by-step explanation:

This question might seem hard at first, but we know one crucial piece of information- line PQ- is the circle's radius. We also know that Q "fits perfectly" on line DC, and that angle QPB is a right angle. Since the line is straight and passes through THE MIDDLe of the rectangle, we can assume that line PQ divides the rectangle into two squares. Since squares have 4 corresponding sides, or sides with the same length, we can rewrite the equation as x+x+2x+2x, which is 6x = 72. Apply and find your answer.

EASIER EXPLANATION:

the radius is at a right angle, meaning it divides the rectangle into two squares.

It is stated that the perimeter of the rectangle is 72, meaning if we write it into an equation where x = short sides and y = long sides.

x+x+y+y = 72

However, the long sides really equal 2x, so we can rewrite the equation

x+x+2x+2x = 72

Simplify

X+x+x+x+x+x = 72

Simplify more

6x = 72

solve

x = 12

We also know that 2x is the dimeter, which is 24.

Apply to the circumference equation

C= Dpi

Since all our answeres are in pi form, we don't need to solve

ANSWER= 24

Answer:

Greater than

Step-by-step explanation:

you are adding exponent with the same denominator if its easier for you in this example you can set the denominator equal to 10.

Sum= adding

2/5 +4/5 =6/5 or 1 1/5

if you want to do it with the denominator equal to 10 just multiply each side by 2.

(2/5 +4/5)x 2

4/10 + 8/10 = 12/10

Answer:

≈ 7.188 LY

Step-by-step explanation:

1 LY = 9.46 * 10¹²
S = 6.8 * 10¹³

S = 6.8 * 10¹³/9.46 * 10¹² ≈ 7.188 LY

Answer:

6

Step-by-step explanation:

Think of the activities as numbers 1, 2, 3, 4. Since she can only do two, here are all the combinations: 1 and 2, 1 and 3, 1 and 4, 2 and 3, 2 and 4, 3 and 4.

That is 6 different combinations in total.

Answer:

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

1. Infinite

2. Inequality

3. Closed circle

4. Open circle

Brainliest, please :)

Answer:

D (Last one)

Step-by-step explanation:

You already know the sign is> with an underline under it, meaning it had to be whole. Next, you need to simplify the equation and you would get the last one.

Answer:

1 hour and 40 minutes

Step-by-step explanation:

The start time is, 11:30am

The end time is 1:10pm

11:30 to 12:30 is one hour

12:30 to 1:10pm is 40 minutes

Answer:

1:40

Step-by-step explanation:

Answer: I would say A or C bc they are similar but C seems more reasonable.

Step-by-step explanation:

Answer: Hope this helps you!

A. |–4.8| > |2.5|

Step-by-step explanation:

When, you compare the distance between stuff, you always compare the absolute value of each thing. And even this equation does not ask for the distance between stuff, it still does require you to compare it with absolute value. The negative sign is only their because they are digging up the ground and not adding to the ground. However, when comparing it, we want to find what is deeper, so we use absolute value making it both positive to compare it fairly. However, if it asked which one was less deep you will use the negative signs. But based on this situation, you don't need to.

Answer: give the other person brainliest :)

Step-by-step explanation:

Answer:

c = 14.6

Step-by-step explanation:

[tex]\textrm {Applying the Pythagorean Theorem : }[/tex]

⇒ a² + b² = c²

[tex]\textrm {Here, we are given :}[/tex]

⇒ a = 4

⇒ b = 14

[tex]\textrm {Solving :}[/tex]

⇒ c² = 4² + 14²

⇒ c² = 16 + 196

⇒ c² = 212

⇒ c = √212

⇒ c = 14.6 [tex]\textrm {(nearest tenth)}[/tex]

Answer:

which figure?????????????????????????????/

Step-by-step explanation:

i

Answer:  No

Explanation:

Replace p with 2 and simplify

8 ≠ 3p + 2

8 ≠ 3(2) + 2

8 ≠ 6 + 2

8 ≠ 8

We get a false claim, so the original inequality 8 ≠ 3p + 2 is false when p = 2. Meaning that p = 2 is not a solution.

If the "not equal" sign was changed to an equal sign, then we would have a solution.

Answer:

no / false

Step-by-step explanation:

If we set the "p" in this equation to be equal to 2 (p = 2), we can test this inequality:

8 ≠ 3p + 2

8 ≠ 3(2) + 2

8 ≠ 6 + 2

8 ≠ 8

FALSE STATEMENT

so, p = 2 is not a solution to this inequality

(no)

hope this helps!!

{"≠" means the opposite of = [the two sides of the equation are not equal, which is not true for this situation] }

Answer: five times two times four plus three plus four

Step-by-step explanation:

5[2(4) + 3 +4]

whenever you have a number next to a bracket, like [ or ( ,it always means multiply. So thats how i know 5[2(4) means "five times two times four" as a verbal expression. The last part is "3+4" which translates to "three plus four"

I hope this is correct!!!

The area of the quadrilateral is 39.84 sq.units.

A quadrilateral is a polygon with four sides.

The quadrilateral ABCD is divided into 2 triangles by its diagonal

The area of Quadrilateral will be equal to the sum of the area of tho scalene triangles

The area of a scalene triangle is given by

[tex]\rm A = \sqrt{s (s-a)(s-b)(s-c)[/tex]

s is the semi perimeter = (a+b+c)/2

The sides of the Triangle ADC is 3.54, 17.29, 17.21

and The sides of the Triangle ABD is 7.84, 17.29, 9.59

s for ADC = (3.54+17.29+17.21)/2 = 19.02

s for ABD = 17.36

A for Triangle ADC is = 30.36

A for Triangle ABD is= 9.48

The total area of the quadrilateral is 30.36+ 9.48 = 39.84

To know more about Quadrilateral

https://brainly.com/question/13805601

#SPJ5

Answer:

supplementary angles

Step-by-step explanation:

the two angles add up to 180 degrees, which is the definition of supplementary angles.