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1 year ago

Find the VOLUME of the triangular prism.

Mathematics

1 answer:

madam [21]1 year ago

5 0

The volume of the triangular prism is 5√3 cubic units if the height of the triangular prism is √3 units. Option (B) is correct.

<h3>What is volume?</h3>

It is defined as a three-dimensional space enclosed by an object or thing.

We have a triangular prism shown in the picture with dimensions.

As we know, the volume of the triangular prism is given by:

V = bhl/2

h = √[2²- (2/2)²]

h = √(4-1)

h = √3 units

V = (2×√3×5)/2

V = 5√3 cubic units

Thus, the volume of the triangular prism is 5√3 cubic units if the height of the triangular prism is √3 units. Option (B) is correct.

Learn more about the volume here:

brainly.com/question/16788902

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Help!! Show how you solved it for both thank you

nadezda [96]

Answer:

C and D if im wrong sorry

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Use the point (-6,-8) to give the six trigonometric functions

vfiekz [6]

You can't exactly get the trigonometric functions using a point unless it's a vector,

so tanx = -8/-6 = 4/3 and from it we can get the other functions

sinx = -4/5
cosx = -3/5
secx = -5/3
cscx = -5/4
cotx = 3/4

3 0

2 years ago

In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2 radians

Gennadij [26K]

Question:

In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2π/7 radians.

What is the arc length?

Use 3.14 for π and round your final answer to the nearest hundredth.

Enter your answer as a decimal in the box.

Answer:

<h3>Arc length is 11.30 feet</h3>

Solution:

Given that,

Radius of circle = 12.6 feet

Central angle = $\frac{2 \pi }{7}$ radians

To find: Arc length

The arc length of a circle of radius "r" when central angle given in radians is:

$s = r \times \theta$

Where,

s is the arc length

r is the radius

$\theta$ is the central angle in radians

Substituting the values we get,

$s = 12.6 \times \frac{2 \times \pi }{7}\\\\s = 12.6 \times \frac{2 \times 3.14 }{7}\\\\x = 11.304 \approx 11.30$

Thus, arc length is 11.30 feet

7 0

2 years ago

Given: measure of angle KJ = 124°, measure of IC =38° Find: m∠CQJ, m∠LIJ.

VLD [36.1K]

Answer:

Part 1) $m$

Part 2) $m$

Step-by-step explanation:

Part 1) Find the measure of angle CQJ

we know that

The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite.

$m$

$arc\ IK+arc\ CJ=360\°-(arc\ IC+arc\ KJ)$

substitute the values

$arc\ IK+arc\ CJ=360\°-(38\°+124\°)=198\°$

$m$

Part 2) Find the measure of angle LIJ

step 1

Find the measure of angle IJL

we know that

The inscribed angle is half that of the arc it comprises.

$m$

substitute the values

$m$

step 2

Find the measure of angle ILJ

we know that

The measurement of the external angle is the semi-difference of the arcs it encompasses.

$m$

substitute the values

$m$

step 3

Find the measure of angle LIJ

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

In the triangle LIJ

$m$

substitute the values

$m$

3 0

3 years ago

B с 6x + 1 E X + 11 D

Mnenie [13.5K]

Answer:

X + 11 i think that is the answer of this question

8 0

2 years ago