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agasfer [191]
2 years ago
9

What is the volume of this rectangular

Mathematics
1 answer:
Basile [38]2 years ago
8 0
<h3>Given:</h3>
  • l= 5 m
  • b= 4 m
  • h= 3 m
<h3>Note that:</h3>
  • l= length
  • b= breadth
  • h= height
<h3>To find:</h3>

The volume of the given rectangular pyramid.

<h3>Solution:</h3>

\large\boxed{Formula:V=\frac{1}{3}lbh}

First, multiply the length (5), breadth (4) and height (3).

5×4×3

= 60 \: cm

Now, divide 60 by 3.

\frac{60}{3}

\large\boxed{V= 20 \: {m}^{3}}

<u>Therefore, the volume of the given rectangular pyramid is 20 cubic meters.</u>

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Find the equation of the line passing through point (4,2) and perpendicular to AB
Setler [38]

Answer:

a. -⅓

b. 3

c. y = 3x - 10

Step-by-step explanation:

a. Gradient of line AB:

A(1, 3), B(7, 1)

Gradient = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 3}{7 - 1} = \frac{-2}{6} = -\frac{1}{3}

Gradient (m) = -⅓

b. The of the line that is perpendicular to line AB would be the negative reciprocal of the gradient of line AB.

Thus, the negative reciprocal of -⅓ = 3

Gradient of the line perpendicular to line AB = 3

c. Equation of the line that passes through (4, 2) and is perpendicular to line AB:

We can write the equation using the point-slope form equation, y - b = m(x - a), where,

(a, b) represents a point on the line, and,

m = gradient/slope

We know that the gradient/slope (m) = 3

Also, a point, (a, b) = (4, 2).

Therefore, substitute a = 4, b = 2, and m = 3 into y - b = m(x - a)

Thus:

y - 2 = 3(x - 4)

y - 2 = 3x - 12

Add 2 to both sides

y = 3x - 12 + 2

y = 3x - 10

5 0
3 years ago
Pls answer this. its easy but for me nah
zlopas [31]

Answer:

1. acute

2. Right

3. maybe acute

4. obtuse

5. acute

6. obtuse

7. straight

8. obtuse

9. acute

10. obtuse

11. acute

12. acute

13. obtuse

14. obtuse

8 0
3 years ago
3/4 of a number is 75
____ [38]

the number is 100

Step-by-step explanation:

1/4 of hundred = 25

2/4 of hundred = 50

3/4 of hundred = 75

4/4 of hundred = 100

7 0
2 years ago
Read 2 more answers
GIVING BRAINLIST Use the number line to answer the question. Each tick represents 1 unit.
vivado [14]
The answer is p , merry Christmas
4 0
3 years ago
If x = 45, y = 63, and the measure of AC = 4 units, what is the difference in length between segments AB and AD? Round your answ
brilliants [131]

Answer:

  1.17 units

Step-by-step explanation:

From the definition of the sine of an angle, you know ...

  sin(45°) = AC/AB = 4/AB   ⇒   AB = 4/sin(45°) ≈ 5.6569

  sin(63°) = AC/AD = 4/AD   ⇒   AD = 4/sin(63°) ≈ 4.4893

Then the difference AB-AD is ...

  AB -AD = 5.6569 -4.4893 = 1.1676

  AB -AD ≈ 1.17 units

4 0
3 years ago
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