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slavikrds [6]
3 years ago
14

Which statements are true about the toolbox? Select two options.

Mathematics
1 answer:
Amanda [17]3 years ago
8 0

Answer:

Option A and E.

Step-by-step explanation:

It is mentioned that Chiyo has a toolbox having a  rectangular prism shape with a length of 8 inches, width of 15 inches, and height of 6 inches.

In addition to this, A triangular prism with a triangular base with base 8 inches and height 3 inches. The prism has a height of 15 inches.  

So here the shape can be broken into a triangular prism and rectangular prism

Therefore the first option is correct

Now as we know that

Volume of the rectangular prism is

= l×b× h

= 8 × 15 × 6

= 720

And, the volume of the triangular prism is bh

And, the area of the triangular prism is 1 ÷ 2 × b × h

= 1 ÷ 2 × 8 × 3

= 12

Now the volume is

= 12 × 15

= 180

So, the volume of the tool box is

= 720 + 180

= 900

Hence, the last option is correct  

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Multiply.<br> (5x2-6x+2) x (4x2-3x)
stich3 [128]

Answer:

<em>18x² - 84x + 96</em>

Step-by-step explanation:

(5 × 2 - 6x + 2) × (4 × 2 - 3x)

5 × 2 (4 × 2 - 3x) - 6x(4 × 2 - 3x) + 2(4 × 2 - 3x)

80 - 30x - 6x(4 × 2 - 3x) + 2(4 × 2 - 3x)

80 - 30x - 48x + 18x² - 6x

96 - 84x + 18x²

18x² - 84x + 96

Hope this helps! :)

6 0
3 years ago
Find the Area of the figure below, composed of a rectangle and a semicircle. Round to
chubhunter [2.5K]

Answer:

Area = 74.1 square units

Step-by-step explanation:

Area of the composite figure = Area of the rectangle + Area of the semicircle

Area o the rectangle = Length × Width

                                   = 10 × 6

                                   = 60 square units

Area of the semicircle = \frac{1}{2}\pi r^{2}

Here, r = radius of the semicircle

For the semicircle with radius = \frac{6}{2} = 3 units

Area = \frac{1}{2}\pi (3)^{2}

        = 4.5π

        = 14.14 units²

Total area of the composite figure = 60 + 14.14

                                                          = 74.14 square units                                                                                              ≈ 74.1 square units      

3 0
3 years ago
I WILL GIVE BRAINLIEST
nydimaria [60]

Answer:

2+0.15x=3.20

Step-by-step explanation:

So you have the original or starting point $2 which b in y=Mx+b then it’s 0.15 per day but you don’t know how many days so you use x and she owed a total of 3.20

3 0
3 years ago
What is the complement of an angle that measures 43 deegress ?
ANTONII [103]

complementary angles sum up to 90°.

so if one of them is 43°, then the other is just 90 - 43 = 47°.

7 0
3 years ago
Read 2 more answers
A giant tortoise can walk about 1/10 meter per second on land. A cooter turtle can walk about 1/2 meter per second on land. How
galina1969 [7]
The rate of giant tortoise is 1/10 meters per each second.
The rate of cooter turtle is 1/2 meters per each second.

How long would it take a giant <span>tortoise to travel 5 meters?
1 second : 1/10 m = X : 5 m
1/10x = 5
x = 50 seconds

How much longer would it take a giant tortoise than a cooter turtle to travel 10 meters on land?
1 second : 1/2 m = X : 10 m
1/2x = 10
x = 20 seconds

So the giant turtle can travel 5 meters in 50 seconds.
</span><span>So the cooter turtle can travel 10 meters in 20 seconds.</span>
6 0
3 years ago
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