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WINSTONCH [101]
3 years ago
12

A rectangular prism has a length of 4 1/2 millimeters, a width of 4 1/2 millimeters, and a height of 6 millimeters. Sally has a

storage container for the prism that has a volume of 143 cubic millimeters. What is the difference between the volume of the prism and the volume of the storage container?
Mathematics
2 answers:
miss Akunina [59]3 years ago
4 0
Hello!
----------
The difference between the volume of the prism and volume of the storage container is 21.5 millimeters.
----------
WORK: 4.5*4.5*6=121.5
              143-121.5=21.5
----------
Have a great day!
Svet_ta [14]3 years ago
4 0

Answer:

21.5

Step-by-step explanation:

i took the quiz and had gotten it right

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A kangaroo leaps a total distance of six feet with a maximum height of two feet. Write the equation representing the path of the
Serjik [45]
In order to find how long the the kangaroo's jump was, we are going to find out what the value of x is when y=0, because y=0 represents the kangaroo on the ground.
0 = -0.03(x - 14)2 + 6 Original equation with 0 substituted for y
0.03(x - 14)2 = 6 Add 0.03(x - 14)2 to each side
(x - 14)2 = 200 Divide both sides by 0.03
x - 14 = +/- 10√2 Take the square root of each side
x = 14 +/- 10√2 Add 14 5o each side
Because 10√2 is approximately 14.14, 14 - 10√2 is approximately 0. This makes sense because the kangaroo has not left the ground yet at 0 ft. The correct answer is 14 + 10√2, which is approximately 28.14 ft.
For part a, we want to use the distance that is halfway between the zeroes of the jump. That is the point halfway between 14 - 10√2 and 14 + 10√2. In other words, we need to use the value 10√2 (approx. 14.14) for x and solve for y.
y = -0.03(10√2 - 14)2 + 6 Write original equation with 10√2 substituted for y
y = -0.03(14.14 - 14)2 + 6 (Using approximation)
y = -0.03(0.14)2 + 6 Substitute (14.14 - 14 = 0.14)
y = -0.03(0.0196) + 6 Square 0.14
y = -0.000588 + 6 Multiply -0.03 times 0.0196
y = 5.999412 Add -0.00588 and 6
y = 6 Round
I went through all of the this work to show that the maximum point of the parabola (the highest point in the kangaroo's jump) is actually the point where the value being squared is 0 (14 - 14). The y-value of the vertex is 6. That is also the highest point in the jump.

The answers are:
a. 6 ft
b. 28.14 ft
5 0
3 years ago
I need help on this question and answering it
Contact [7]

Answer:

75 feet

Step-by-step explanation:

the shadow to the object would be a 4:5 ratio

since the shadow of the flagpole is 60 ft,

4x=60 so x would =15

then you multiply 15 by 5 and end up with 75

6 0
3 years ago
Read 2 more answers
Help please im marking brainliest
Strike441 [17]

The surface area of the triangular prism is of 140 cm².

<h3>What is the surface area of a prism?</h3>

It is the sum of the areas of all faces of a prism. In this problem, the prism has these following faces:

  • One rectangle of dimensions 8 cm and 6 + 4 + 5 = 15 cm.
  • Two right triangles with sides 4 cm and 5 cm.

For a rectangle, the area is given by the multiplication of the dimensions, hence:

Ar = 8 x 15 = 120 cm²

For each right triangle, the area is given by half the multiplication of the sides, hence:

At = 2 x 0.5 x 4 x 5 = 20 cm².

Then the surface area of the prism is:

S = 120 cm² + 20 cm² = 140 cm².

More can be learned about surface area at brainly.com/question/28123954

#SPJ1

3 0
2 years ago
Anyone know what the answer is???(sorry if it’s unclear)
Sergio [31]

The laws of exponents I will be using are:

(x^y)^z = x^{yz}, and x^y \cdot x^z = x^{y+z}.

For the first part, (15^3)^3 \cdot 15^{-6} = 15^9 \cdot 15^{-6} = 15^3.

For the second part, 15 \cdot (15^3)^2 \cdot (15^{-5})^2 = 15 \cdot (15^6) \cdot (15^{-10}) = 15^{1+6-10} = 15^{-3} = \frac{1}{15^3}.

5 0
3 years ago
Floretta is out grocery shopping. She buys 7 pounds of bananas for $3.50. What is the unit rate for the bananas in $ ? pound You
I am Lyosha [343]

9514 1404 393

Answer:

  $0.50 per pound

Step-by-step explanation:

To find cost per pound, divide cost by the corresponding number of pounds.

  $3.50/(7 lb) = $0.50/lb

The unit rate for bananas is $0.50 per pound.

4 0
3 years ago
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