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3 years ago

What is the volume of the triangular prism shown below?

Mathematics

1 answer:

Delicious77 [7]3 years ago

4 0

Answer:

Step-by-step explanation:

The volume (V) of the triangular prism is calculate as

V = area of triangular face × depth

area of triangle = 0.5 × 9 × 4 = 0.5 × 36 = 18 units², thus

V = 18 × 15 = 270 units³ → A

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4 divide by 2 and add 1 Input Output 0 2 -8 100

alexandr402 [8]

Answer:

Step-by-step explanation:

Given:

4 Divide by 2 and add 1

Computation;

[4 / 2] + 1

Using BODMAS rule

⇒ [4 / 2] + 1

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3 years ago

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2 years ago

Use the diagram to complete the statement. Triangle J K L is shown. Angle K J L is a right angle. Angle J K L is 52 degrees and

zzz [600]

Answer:

$\bold{sin(38^\circ)=cos(52^\circ)}$

Step-by-step explanation:

Given that $\triangle KJL$ is a right angled triangle.

$\angle JKL = 52^\circ\\\angle KLJ = 38^\circ$

and

$\angle KJL = 90^\circ$

Kindly refer to the attached image of $\triangle KJL$ in which all the given angles are shown.

To find:

sin(38°) = ?

a) cos(38°)

b) cos(52°)

c) tan(38°)

d) tan(52°)

Solution:

Let us use the trigonometric identities in the given $\triangle KJL$ .

We have to find the value of sin(38°).

We know that sine trigonometric identity is given as:

$sin\theta =\dfrac{Perpendicular}{Hypotenuse}$

$sin(\angle JLK) = \dfrac{JK}{KL}\\OR\\sin(38^\circ) = \dfrac{JK}{KL}$ ....... (1)

Now, let us find out the values of trigonometric functions given in options one by one:

$cos\theta =\dfrac{Base}{Hypotenuse}$

$cos(\angle JLK) = \dfrac{JL}{KL}\\OR\\cos(38^\circ) = \dfrac{JL}{KL}$ ....... (2)

By (1) and (2):

sin(38°) $\neq$ cos(38°).

$cos(\angle JKL) = \dfrac{JK}{KL}\\OR\\cos(52^\circ) = \dfrac{JK}{KL}$ ...... (3)

Comparing equations (1) and (3):

we get the both are same.

$\therefore \bold{sin(38^\circ)=cos(52^\circ)}$

6 0

3 years ago

Which function has the same rate of change as fx= 3x+5

alexandr1967 [171]

Answer:

Step-by-step explanation:

The rate of change is defined as the derivative of the function, or also known as the slope. The derivative here would be 3. Another function which has the same rate of change would be any function with a slope of 3. A few example are:

f(x) = 3x + 1

f(x) = 3x + 2

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2 years ago

Lisa ran around a rectangular field 150 m long and 50 m wide at an average speed of 100 m/min. How long did she take to complete

Anarel [89]

Answer:

20 minutes

Step-by-step explanation:

To make one round of the field, Lisa will have to cover the entire perimeter of the field.

The perimeter of a rectangle = 2(l+w) Where L = length and W = width.

The multiplication of 2 means two lengths and widths that each rectangle has. The perimeter of the field = 2(150 +50) = 400m

Lisa's average running speed = 100m/min

The time taken to cover one round of the field or one perimeter of the field = 400/100 = 4 minutes.

To cover 5 rounds or 5 perimeters Lisa will take 5x4 minutes = 20 minutes.

6 0

3 years ago

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