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schepotkina [342]
1 year ago
11

FIND THE VOLUME AND SURFACE AREA. MEASUREMENT IN cm. π = 22/7

Mathematics
1 answer:
Digiron [165]1 year ago
7 0

The volume of the right triangular prism is 153.30 cubic units if the base length of the prism is 8 units.

<h3>What is a triangular prism?</h3>

When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is a name given to this novel 3D object.

It is given that:

A right triangular prism with dimensions

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

Volume = (1/2)bhl

Here b and l are the base dimensions h is the height of the prism

From the trigonometric ratios:

h = 10sin(25) = 4.23 units

b = 10cos(25) = 9.06 units

l = 8 units

Volume = (1/2)(9.06)(4.23)(8)

Volume = 153.30 cubic units

Thus, the volume of the right triangular prism is 153.30 cubic units if the base length of the prism is 8 units.

Learn more about triangular prisms here:

brainly.com/question/16909441

#SPJ1

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Previous studies on sleep tendencies report that, on average, an adult American will sleep for 6 hours each night with a standar
Tom [10]

Answer: One sample z test for means

Step-by-step explanation:

From the information given, the sample size is large. It is greater than 30. Again, the population standard deviation is given. This means that the test statistic would be the z score which is determined by the formula

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = population standard deviation

The probability value would be determined from the normal distribution table.

Therefore, the hypothesis test that should be used is

One sample z test for means

7 0
3 years ago
Edith is x years old. Her sister,Madison is six years older than her. Their mother is twice as old as Madison. Their aunt, Eliza
DENIUS [597]

Answer:

Step-by-step explanation:

Edith is x years old.

Her sister,Madison is six years older than her. This means that the age of Madison is x + 6

Their mother is twice as old as Madison. This means that the age of their mother is expressed as

2(x + 6)

= 2x + 12

Their aunt, Elizabeth is x years older than their mother. This means that the expression that represents Elizabeth's age in years is

2x + 12 + x

= 3x + 12

5 0
3 years ago
(pls help me with this)
exis [7]

A. The coordinates of the midpoint of CD in terms of p and q is [(4 + p) / 2 , (5 + q) / 2]

B. The coordinates of D, Given that the midpoint of CD is (7, 1) is (10 , -3)

<h3>A. How to determine the mid point</h3>
  • Coordinate of C = (4, 5)
  • Coordinate of D = (p, q)
  • Mid point =?

Mid point = (X , Y)

X = (x₁ + x₂) / 2

X = (4 + p) / 2

Y = (y₁ + y₂) / 2

Y = (5 + q) / 2

Thus,

Mid point = (X , Y)

Mid point = [(4 + p) / 2 , (5 + q) / 2]

<h3>B. How to determine the coordinates of D</h3>
  • Mid point = (7, 1)
  • Coordinates of D =?

Mid point = (7, 1) = (X , Y)

X = (4 + p) / 2

7 = (4 + p) / 2

Cross multiply

7 × 2 = 4 + p

14 = 4 + p

Collect like terms

p = 14 - 4

p = 10

Y = (5 + q) / 2

1 = (5 + q) / 2

Cross multiply

1 × 2 = 5 + q

2 = 5 + q

Collect like terms

q = 2 - 5

q = -3

Coordinates of D = (p, q)

Coordinates of D = (10 , -3)

Learn more about coordinate geometry:

brainly.com/question/4976351

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5 0
2 years ago
Which southern in their boxes shows has a greater value
suter [353]

Answer: C) They have equal volumes

Step-by-step explanation:

Volume of Rectangular Prism = length x width x height

Green: 4 x 2 x 2 =16

Purple: 8 x 2 x 1 = 16

8 0
3 years ago
Read 2 more answers
A set of 8 dessert dishes cost $20. what was the cost of each dish
emmainna [20.7K]
$20 / 8 dessert dishes = $2.50

The cost of each dish is $2.50.
5 0
3 years ago
Read 2 more answers
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