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AURORKA [14]
3 years ago
13

Can someone please help me?:(

Mathematics
1 answer:
Leto [7]3 years ago
3 0

9514 1404 393

Answer:

  • parallelogram: 80 mm²
  • triangle: 40 mm²

Step-by-step explanation:

The formula for the area of a parallelogram is ...

  A = bh

Here, the base is 8 mm and the height (perpendicular to the base) is 10 mm. Then the area is ...

  A = (8 mm)(10 mm) = 80 mm² . . . . area of the parallelogram

__

As you can see from the problem setup, the area of the triangle is exactly half that: 80 mm²/2 = 40 mm² . . . . area of the triangle

_____

If you'd rather use the formula for the triangle area, you will see that you get the same result:

  A = (1/2)bh

  A = (1/2)(8 mm)(10 mm) = 1/2·80 mm² = 40 mm² . . . . area of the triangle

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Suppose a ball is thrown directly upward from a height of 7 feet with an initial velocity of 50 feet per second. Use the quadrat
Fittoniya [83]

Answer:

t = 3.3 seconds

Step-by-step explanation:

From the formula of vertical motion of an object under gravity we can write the equation

H = ut + \frac{1}{2} gt^{2} ....... (1)

Where u is the initial velocity (in feet per second) of throw of the object and t is time of travel in seconds and the value of g i.e. gravitational acceleration is 32 feet/sec².

Now, while a ball is thrown vertically upward with velocity 50 ft/sec from a height of 7 ft then the time of travel of the ball before reaching the ground, the equation (1) will be written as

- 7 = 50t - \frac{1}{2} \times 32 \times t^{2}

As we have selected the upward direction as positive so, gravitational acceleration,g will be negative and as the displacement is downward by 7 feet, so it will be negative.

⇒ 16t² - 50t - 7 = 0 ........ (2)

Now, applying Sridhar Acharya formula,

t = \frac{-(-50) + \sqrt{(-50)^{2} - 4(16)(-7)}}{2(16)} {Neglecting the negative root as t can not be negative}

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(Answer)

4 0
3 years ago
Student can work no more than 23 hours
Irina-Kira [14]

Answer:

See below ~

Step-by-step explanation:

We need to represent the situations as inequalities.

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

<u>Students can work </u><u>no more than</u><u> 23 hours per week</u>

⇒ Let the hours per week be x

⇒ 'no more than' refers to less than or equal to (≤)

⇒ x ≤ 23

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

<u>Tutors are required to spend </u><u>at least</u><u> 2 hours per week</u>

⇒ At least refers to greater than or equal to (≥)

⇒ x ≥ 2

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

<u>Tutors should spend </u><u>no more than</u><u> 7 hours per week</u>

⇒ As mentioned before, no more than refers to less than or equal to (≤)

⇒ x ≤ 7

4 0
2 years ago
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What is the height of a pyramid with a volume of 600 cm and a base area of 24 cm?
ra1l [238]

Answer:

75cm

Step-by-step explanation:

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4 years ago
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0.35(j + 5) − 5.77 = –2.97<br> What does the j = ?<br> Also explain how you got the answer
Kruka [31]

Answer:

<h2>J = 3</h2>

Step-by-step explanation:

got the answer, attached is drawn

5 0
3 years ago
Please help if you can, thank you.<br> I think it's A or C, I'm not sure.<br> Please confirm.
zhannawk [14.2K]

Answer:

A

Step-by-step explanation:

A 2-column table with 5 rows. Column 1 is labeled Key Words with entries twelve, more than, quotient, a number, eight. Column 2 is labeled Replace with entries 12, +, divided by, k, 8.

Write and evaluate the expression. Then, complete the statement.

 

twelve more than the quotient of a number and eight

 

The value of the expression when k = 40 is  

.

3 0
3 years ago
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