1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SIZIF [17.4K]
3 years ago
9

Milton got a paperweight like the one shown below. He needs to fill it with sand to give it weight.

Mathematics
2 answers:
Rashid [163]3 years ago
4 0
2x2x2 = 8

4 x 2 x 2 = 16

16+8 = 24

Answer is A
solong [7]3 years ago
4 0

Solution:

Given that, Milton got a paperweight like the one shown in the figure.

The Paper Weight is in the shape of a cuboid and a cube.

Length and breadth of cuboid is a and height of the cuboid is 2a, whereas side of cube is a.

The volume of sand required to fill in the Paper Weight , is equal to the volume of the Paper weight,

Volume of Paper Weight = Volume of cube + Volume of cuboid

We know that, Volume of cube =(side)^{3}

and , Volume of Cuboid = length \times breadth \times height

Volume of Paper Weight = a^{3}+ (a\times a \times2a)= a^{3} +2a^{3} = 3a^{3}

Given that , a = 2 inches , then Volume of Paper Weight = 3 \times (2)^{3}= 3\times 8 = 24

24 \: in^{3} is the volume of the paperweight.

Option A is the correct solution.

You might be interested in
Please Help. I really don’t get this concept, if you could explain it in detail it would be very appreciated
Dafna11 [192]
<h3>Answer: 24/25</h3>

=================================================

Explanation:

Sine is given to be negative, and so is tangent. This only happens in quadrant Q4

Recall that y = sin(theta), so if sin(theta) < 0, then we're below the x axis.

If tan(theta) < 0, then this means cos(theta) > 0

So we have y < 0 and x > 0 which places the angle somewhere in Q4.

--------------------------

Draw a right triangle as shown below in the attached image. We have AC = 25 and BC = 7. Use the pythagorean theorem to find that AB = 24

So this is what your steps may look like

a^2+b^2 = c^2

7^2+b^2 = 25^2

b^2+49 = 625

b^2 = 625-49

b^2 = 576

b = sqrt(576)

b = 24

So because AB = 24, we know that the cosine of the angle is adjacent/hypotenuse = 24/25

---------------------------

As an alternative, you could use the trig identity

sin^2(x) + cos^2(x) = 1

and plug in the given value of sine to solve for cosine. The cosine value result will be positive since we're in Q4.

So,

sin^2(x) + cos^2(x) = 1

(-7/25)^2 + cos^2(x) = 1

(49/625) + cos^2(x) = 1

cos^2(x) = 1 - (49/625)

cos^2(x) = (625/625) - (49/625)

cos^2(x) = (625-49)/625

cos^2(x) = 576/625

cos(x) = sqrt(576/625)

cos(x) = sqrt(576)/sqrt(625)

cos(x) = 24/25

This is effectively a rephrasing of the previous section since the pythagorean trig identity is more or less the pythagorean theorem (just in a trig form)

6 0
3 years ago
Terry needs to carry a pole that
Natasha2012 [34]

Answer:

Yes, The pole will fit through the door because the diagonal width of the door is 10.8 feet, which is longer than the length of the pole.

Step-by-step explanation:

Using the Pythagorean Theorem, (a^2+b^2=c^2 ) we can measure the hypotenuse of a right triangle. Since the doorway is a rectangle, and a rectangle cut diagonally is a right triangle, we can use Pythagorean Theorem to measure the diagonal width of the doorway.

Plug in the values of the length and width of the door for a and b. The c value will represent the diagonal width of the doorway:

6^2+9^2=c^2

36+81=c^2

117=c^2

Since 117 is equal to the value of c multiplied by c, we must find the square root of 117 to find the value of c.

\sqrt{117} =10.8

10.8=c

Yes, The pole will fit through the door because the diagonal width of the door is 10.8 feet, which is longer than the length of the pole, measuring 10 feet.

7 0
3 years ago
Jeffrey's brother max is 5 years older than twice Jeffrey's age. Write an expression that represents the relationship of Max's a
Illusion [34]
Jeffrey = J
Max = M

M = 2j + 5
4 0
3 years ago
-1/8(x-4)=-4<br> how do i show my work
UkoKoshka [18]

Answer: the answer is x=36

Step-by-step explanation:

Simplify  \frac{1}{8}(x-4)

8

1

​

(x−4)  to  \frac{x-4}{8}

8

x−4

​

.

-\frac{x-4}{8}=-4

−

8

x−4

​

=−4

2 Multiply both sides by 88.

-x+4=-4\times 8

−x+4=−4×8

3 Simplify  4\times 84×8  to  3232.

-x+4=-32

−x+4=−32

4 Regroup terms.

4-x=-32

4−x=−32

5 Subtract 44 from both sides.

-x=-32-4

−x=−32−4

6 Simplify  -32-4−32−4  to  -36−36.

-x=-36

−x=−36

7 Multiply both sides by -1−1.

x=36

x=36

6 0
3 years ago
What is the value of x ÷ y - z if x = 32, y = 4, and z = 2.75?
katen-ka-za [31]
32/4-2.75=8-2.75=5.25
5 0
3 years ago
Read 2 more answers
Other questions:
  • Find the coordinates of point E if C is the midpoint of AE A has the coordinates of (-3,1) C has the coordinates of (-2,-1)
    8·1 answer
  • 2x 7 = -3solve for x , what is x
    5·1 answer
  • janice published a novel. Last month the book sold 1364 copies, earning Janice a total of $1579.16. This month the book sold 134
    15·1 answer
  • Please I need some answers
    12·2 answers
  • Please help ssssssssss<br>​
    15·2 answers
  • How do I calculate these division facts and what’s the answer 63 ÷ 7 56 ÷ 7
    9·2 answers
  • Find the unit vector in the direction of (-2, -1).
    5·1 answer
  • How to find a graph equation ?:/
    10·1 answer
  • Need help with the problem in the picture thank you :)
    9·1 answer
  • A dog is chained to a pole. If the dog can run within an area of 380 ft.², how long is the chain?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!