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Andrei [34K]
3 years ago
10

A plastic box has a length 4 cm longer than its width. The area of the rectangular top of the box is 77 square cm. Find the leng

th and width of the box.
Mathematics
1 answer:
finlep [7]3 years ago
4 0

Answer: the length is 11 cm.

The width is 7 cm.

Step-by-step explanation:

Let L represent the length of the rectangular plastic box.

Let W represent the width of the rectangular plastic box.

The area of the rectangular top of the box is 77 square cm. This means that

LW = 77- - - - - - - ;- - - -1

The plastic box has a length 4 cm longer than its width. This means that

L = W + 4

Substituting L = W + 4 into equation 1, it becomes

(W + 4)W = 77

W² + 4W = 77

W² + 4W - 77 = 0

W² + 11W - 7W - 77 = 0

W(W + 11) - 7(W + 11) = 0

W - 7 = 0 or W + 11 = 0

W = 7 or W = - 11

Since the width cannot be negative, then W = 7cm

L = 77/7 = 11 cm

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kozerog [31]
Answer is 300 square feet

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2 years ago
You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as
Lesechka [4]

The correct question is;

You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as a fraction or percent. If necessary round your answer to the nearest hundredth. Find the probability of spinning an odd number, flipping heads, then spinning another odd number? Write your answer as a fraction in simplest form.

Answer:

If the spinner has an even number of spaces, the probability of spinning an odd number, flipping heads, then spinning a yellow is = 1/8

Whereas, if the spinner has an odd number of spaces, more information is needed

Step-by-step explanation:

The answer will depend on whether the spinner has an odd or even number of spaces.

Now, if we suppose that the spinner has an even amount of numbers on it, there will be an equal number of odd and even numbers.

Thus the probability of spinning an odd number is ½.

Also, the probability of flipping heads on a coin is ½.

Thus, the probability of spinning an odd number, flipping heads, then spinning another odd number is;

= ½ × ½ × ½ = ⅛

Similarly,

If the spinner has an odd amount of numbers on it, the probability of spinning an odd number will vary. For instance, if there are 5 spaces on the spinner, the probability of spinning an odd number will be

3

However, if there are 9 spaces, the probability will be 5/9

So,we can conclude that;

If the spinner has an even number of spaces, the probability of spinning an odd number, flipping heads, then spinning a yellow is = 1/8

Whereas, if the spinner has an odd number of spaces, more information is needed.

6 0
2 years ago
Which equation represents the line through (0,0) and (3, 4)?
Andreas93 [3]

Answer:

<u>4-0</u>

3-0

=4/3

<u>y-0</u> =4/3

x-0

3y-0=4x-0

3y=4x

y=4/3x

Step-by-step explanation:

7 0
2 years ago
The area of the curved surface of a cylindrical can is 162 π square centimeters and it’s height is 9 centimeters. What is the di
asambeis [7]

Answer:

Diameter of the can = 18 Cm

Step-by-step explanation:

Given:

Curved surface of cylindrical can = 162\pi

Height of cylindrical can = 9 Cm

Find:

Diameter of the can = ?

Computation:

Curved surface of cylindrical can = 2\pirh

162\pi  = 2\pi rh\\\\\frac{162\pi }{2\pi }=  r\times 9\\\\81 =  r\times 9\\\\\frac{81}{9}=r

r=9 Cm

Diameter of the can = 2×r

Diameter of the can = 2×9 Cm

Diameter of the can = 18 Cm

8 0
3 years ago
Help me help me answer this
Leya [2.2K]

If both triangles are congruent (that's what the sign means), then AD=CB, and CD=AB. Substituting what we are given into CD=AB,


6x-5=3x+10

Solving the equation:

3x=15

x=5

So we know that 2x+4 (the value of AD) becomes 2*5 +4, and you get 14. Since we know that AD=CB, then CB is also 14. No need to find y!

Answer: CB=14

8 0
3 years ago
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