A box is shaped like a square prism. The box is 10 centimetres high and it’s volume is 150 cubic centimetres.

A Box Is Shaped Like A Square Prism. The Box Is 10 Centimetres High And Its Volume Is 150 Cubic Centimetres.

Answers

Answer 1

Answer:

B I hope

Step-by-step explanation:

Answer 2

The length of the base of a square prism is 3.872 cm and the surface area of a square prism is 184.9 cm ²

Volume of a square prism

Let h is the height length of the prism and a is the length of base edge.

then the volume is a²h and the surface area is 2a²+4ah

How to base length?

(a) The volume of a square prism is 150 cm³ and  10 cm is height length

Let a is the length of base edge.

We know the volume is a²h.

Substitute the values

a²(10) = 150

     a² = 15

      a = √15

      a = 3.872 cm

Since length of base is 3.872 cm.

How to find the surface area of a square prism?

(b) The height length of the prism is 10 cm and the base edge length is √15 cm.

We know the surface area is 2a²+4ah

Substitute the values

S = 2(√15)² + 4 (3.87 )(10)

  =  2(15) + 40(3.87)

  = 30 + 154.91

  = 184.9 cm ²

Since the surface area of a square prism is  184.9 cm ².


Related Questions

What ends in 1258I will say that you cool in comments ​

Answers

Answer:

NUMBERS end in 12581... YEP.

Answer:

End 12581 yes

Classify the angle pairs

Answers

Answer:

Alternate exterior

Step-by-step explanation:

Angles 2 and 7 are on exterior sides of the transversal and also are opposite to one another. They are classified as alternate exterior.

Answer:

alternate exterior angles

Step-by-step explanation:

2 and 7 are on opposite sides of the transversal so they are called alternate

They are on the outside of the parallel lines so the are called exterior

the washington monument in washington d.c is 555 feet tall. If a tourist sees the monument with a viewing angle of 8, how far away, to the nearest foot, is she from the monument?

Answers

Answer:

3,964 ft

Step-by-step explanation:

555 / tan 8° = 555/0.14 = 3,964 ft

C' ∩ ( A U B ) what is the answer to this question.
venn diagram

Answers

Step-by-step explanation:

n(AUB)=n(A)+n(B)-n(AnB)

hope it helps

stay safe healthy and happy..

Joseph has 22 gallons of fertilizer. He uses 7 quarts to fertilize his plants.

How many quarts of fertilizer are left?

Answers

Answer:

81

Step-by-step explanation:

4 quarts = 1 gallon

there are 22 gallons so multiply 4 by 22

that equals 88 quarts then subtract 7

leaving you with 81 quarts

what are the principle and symmetric solutions to the equation 2cos(x)=-1

Answers

Answer:

Assuming that x is in degrees (you could generalize this to any unit)

For an equation like:

sin(a*x) = K

The principle solutions are the values of x in the range:

0° ≤ x < 360°

And the symmetric ones are the solutions:

xₙ = x + n*360°

where n is an integer.

Ok, first let's solve:

2*cos(x) = -1

isolating the cosine part, we get:

cos(x) = -1/2

Now we can use the inverse cosine function, Acos(x)

If we apply this function to both sides, we get:

Acos (cos(x)) = Acos(-1/2)

x = Acos(-1/2) = 120°

x = 120° is the princpiple solution.

And the symmetric solutions are:

xₙ = 120° + n*360°

So for example:

x₁ = 120° + 1*360° = 480°

x₃ = 120° + 3*360° = 1200°

etc...

Expand the brackets 3(12-W)

Answers

Answer:

[tex]36 - 3m[/tex]

Step-by-step explanation:

[tex]3(12−m)[/tex]

[tex]3 \times 12+3(−m)[/tex]

[tex]36+3(−m)[/tex]

[tex]36−3m[/tex]

Hope it is helpful...

Read the sentence.
This is an example of a
Brendan is playing in the backyard.
O simple sentence.
O compound sentence.
O complex sentence.
O compound-complex sentence.

Answers

Answer:

I think it's simple sentence

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I say number 2 idrk so I hope I helped >-<

I believe it’s 2/3 because there are 2 different events happening

Help me pls find this answer I doubt mine is right ​

Answers

Answer:

whats the question?

comment so i can help:)

a total of 10000 was invested in two business ventures A and B .at the of the first year A and B yielded returns of 6% and 23÷4 respective on the original investment how was the original amount allocated if the total amount earned was 588.75?​

Answers

Answer:

(1)

compound amount = 802.5 $

invest earned = 52.5 $

Step-by-step explanation:

total amount = 10000 $

let amount x invested in ventures A and remaining (1000-x) on ventures B

now,

6x/100 +23/400(1000-x ) = 588.75

{24x+23(1000-x)}/400 =588.75

x=235500-230000

x=5500

Amount invested on A = 5500$

Amount invested on B = 4500$

(2)

principle=750$

time= 1 year

effective invest rate = 7%

a) compound amount = p(1+(r/w)^t

=750{1+(7/100)}^1

=802.5$

b) invest earned = 802.5-700 = 52.5$

Seven times a number decreased by three-fourths of the same number is 25. What is the number?

Answers

Answer:

The number is four (4)

Step-by-step explanation:

look at the picture above, it explains everything

About 5% of the population has a particular genetic mutation. 200 people are randomly selected.

Find the mean for the number of people with the genetic mutation in such groups of 200.

Answers

Answer:

ok 200 we have to find 5% of 200 so since 200 is doable 100 we just multiply 5 by 2 to get 10

so out of the 200 people 10 of them have the mutation

Hope This Helps!!!

Question 6. * The number of likes a social media post has generated has been tracked as a function of the number of min since it was posted. The data is shown in the table below, where t is the number of minutes and I is the number of likes. If an exponential model was used to fit this data, which of the following would be closest to its prediction for the number of likes after one hour

Answers

Answer:

Step-by-step explanation:

yes

Find the measurement of the numbered angles

Answers

Answer:

m<1 = 60

m<2 = 30

m<3 = 80

Step-by-step explanation:

1. Solve for angle (1)

The sum of angles in any triangle is (180) degrees. As one can see, there is a (30) degree angle in this triangle, and a (90) degree angle. Bear in mind that the box around an angle indicates that it is a (90) degree angle. One can form an equation and solve for the unknown angle using this given information;

(30) + (m<1) + (90) = 180

Simplify,

120 + m<1 = 180

Inverse operations,

m<1 = 60

2. Solve for angle (2)

The vertical angles theorem states that when two lines intersect, the angles opposite each other are congruent. One can apply this theorem here by stating the following,

m<2 = 30

Thus one gets their answer, the measure of angle (2) must be (30) degrees by the vertical angles theorem.

3. Solve for angle (3)

As states above, the sum of angles in a triangle is (180) degrees. Since one has found the measure of angle (2), one can form an equation and solve for the measure of angle (3) using the given information, combined with the information found.

(m<2) + (70) + (m<3) = 180

Susbtitute,

30 + 70 + (m<3) = 180

Simplify,

100 + m<3 = 180

Invers eoperations,

m<3 = 80

HELP ASAP!!!
(Question and answers pictured)

Answers

9514 1404 393

Answer:

  (d)  reflection about the x-axis, up 6 units

Step-by-step explanation:

The parent function y=1/x is multiplied by -1, which reflects it over the x-axis. Then 6 is added, which shifts it up 6 units.

The transformations are ...

  reflection about the x-axis, up 6 units

Can you determine the union or intersection and write in interval notation?

Answers

Answer:

A ∩ C   [ -6, -4 )

Step-by-step explanation:

A ∩ C

-6 ≤ x < -4

[ -6, -4 )

Do they take your phones and watch you take the cumulative test on edginuity?

Answers

Answer:

I don't know what your school is doing but what happened to me was that I just waited for the test to be unlocked and I was working from home so I was able to keep my phone and I didn't need to be in a meeting

find the mesure of angle b

Answers

Answer:

It's C

Step-by-step explanation:

because there is a 90 degrees sigh behind it and those two angles need to add up to 90

Answer:

31

Step-by-step explanation:

b+59=90

b=90-59

b=31

hope it helps

what is (2²)×(2²)‐³ when simplified​

Answers

Step-by-step explanation:

Everything has been written ..

give one example of the following properties for whole number under addition​

Answers

Step-by-step explanation:

Objective: Recall the properties.

a) 3+1=4

b) 3+7=7+3

c) 3+(7+4)=7+(3+4)

d). 3(7+4)=(3×7)+(3×4)

using long division what is the quotient of this expression?

Answers

Answer:

A

Step-by-step explanation:

Answer:

Answer is A

Step-by-step explanation:

15. PLZ HELP For each part below, use the figure to fill in the blank. If necessary, you may learn what the markings on a figure indicate. (a) Find Q (b)Find m < M.​

Answers

Answer:

a. m<Q = 75°

b. m<M = 60°

Step-by-step explanation:

a. The triangle has two equal sides, therefore it is an isosceles triangle. Thus, its base angles would be equal also. m<Q = m<S

Therefore:

m<Q = ½(180 - 30)

m<Q = 75°

b. All sides of the triangle are equal. Therefore, it is an equilateral triangle with equal angles measuring 60° each.

m<M = 60°

Rectangle ABCD is transformed to A’B’C’D’ by a dilation. What is the scale factor used for the dilation?

Answers

Answer:

Scale factor = 3

Step-by-step explanation:

Scale factor used for the dilation = the ratio of the corresponding side length of the new figure to the side length of the original figure

Scale factor = B'C'/BC

B'C' = 9 units

BC = 3 units

Scale factor = 9/3 = 3

Russell deposited $200 to open a new bank account before he paid $250 for his portion of the rent. His bank charged him a $50 overdraft fee. Then he deposited his paycheck of $400. How much money is in Russell’s account now?

Answers

300 dollars I think is it multiple choice

The answers isssssssss

$300

:)

Which statements are correct? Check all that apply.

Answers

Answer:

E is the subset of I

S is the subset of T

R ⊂ P

Step-by-step explanation:

x^ 3 + 3 x ^ 2 - 9 x - 27 draw the graph of the first derivative and the second derivative on the same set​

Answers

Answer:

The graph is in the second attached image.

Step-by-step explanation:

In the first attached image, you have three equation graphed, the first is in red color, it's the original equation:

x^3 + 3x^2 - 9x - 27

I graphed this to obtain a clear relation between the equation and its derivatives, the second graphed equation is in blue color and it's the first derivative:

First derivative = 3x^2 + 6x - 9 (It's a parabola)

And at last, we have in green color the second derivative:

Second derivative = 6x + 6 (It's a line)

As you can see, you only need the first and the second derivatives in the exercise, by this reason, in the second attached image you have the graph as you need to show in this exercise.

QUESTION AT THE BOTTOM MAKE SURE YOU KNOW THE ANSWER FIRST PLAESE

Answers

Answer:

V=πr2h /3

so we just substate and we get

V≈130.9

Answer: 130.83 units cubed

Step-by-step explanation:

The formula for finding the volume of a cone is [tex]\pi r^2\frac{h}{3}[/tex]

We will use 3.14 for pi.

[tex]3.14r^2\frac{h}{3}[/tex]

Now let's sub in our variables and solve

[tex]3.14(5^2)(\frac{5}{3})\\3.14(25)(\frac{5}{3})\\78.5(\frac{5}{3})\\130 \frac{5}{6}[/tex]

5/6 is about .83

130.83

what is the derivative of y=(x^2√(1+x))/((1+x^2)^3/2))

Answers

Step-by-step explanation:

Maple calculator used.........................

Answer:

Step-by-step explanation:

[tex]f(x)={x^2\sqrt{1+x}\over{(1+x^2)^{3\over{2}}}}\\\\f^\prime (x)=\frac{{{(x^2\sqrt{1+x})^\prime (1+x^2)^{\frac{3}{2}}+ (x^2\sqrt{1+x})}((1+x^2)^{\frac{3}{2}}})^\prime}{((1+x^2)^\frac{3}{2})^2}}}[/tex]

[tex](x^2 \sqrt{1+x})^\prime=2x\sqrt{1+x}+ \frac{x^2}{2\sqrt{1+x}}[/tex]

[tex]((1+x^2)^{\frac{3}{2}})^\prime=\frac{3}{2}(1+x^2)^{\frac{1}{2}} (2x)=3x(1+x^2)^{\frac{1}{2}}[/tex]

[tex]f^\prime(x)=\frac{\{(1+x^2)^{\frac{3}{2}}\}(2x\sqrt{1+x}+\frac{x^2}{2\sqrt{1+x}})+(x^2 \sqrt{1+x})(3x\sqrt{1+x^2})}{(1+x^2)^{3}}}[/tex]

[tex]\sqrt{1+x^2}=\sqrt{(1+x)(1-x)}[/tex]

[tex]f^\prime (x)=x\sqrt{1+x}~\frac{(1+x^2)^{\frac{3}{2}}(2+\frac{x^2}{2(1+x)})+3x^2\sqrt{1-x}}{(1+x^2)^3}[/tex]

The following are the Pulse Rates of the 12 students in a Math Class

76 60 59 60

81 72 91 80

80 68 73 77



If we create Classes for a relative frequency distribution.

For the Class 50-59 , find the frequency

Answers

Answer:

1

Step-by-step explanation:

Given the pulse rate for 12 students :

76 60 59 60 81 72 91 80 80 68 73 77

Creating class intervals ::

Width = 10

59, 60, 60, 68, 72, 73, 76, 77, 80, 80, 81, 91

Interval ____ Frequency

50 - 59 ______ 1

60 - 69 ______ 3

70 - 79 ______ 4

80 - 89 ______ 3

90 - 99 ______ 1

Frequebcy if the 50 - 59 class interval is 1

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