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3 years ago

What is the volume of the triangular prism shown below?

Mathematics

1 answer:

liberstina [14]3 years ago

8 0

Answer:

Step-by-step explanation:

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

V = area of triangular face × length

Area of triangle = $\frac{1}{2}$ bh ( b is the base and h the height )

Here b = 6 and h = 8, thus

Area = $\frac{1}{2}$ × 6 × 8 = 3 × 8 = 24 units², thus

V = 24 × 20 = 480 units³ → B

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Ryan is trying a low-carbohydrate diet. He would like to keep the amount of carbs consumed in grams between the levels shown in

nydimaria [60]

Answer:

$50$

Ryan would like to eat more than 50 carbs per day, but no more than 150 carbs per day.

So, Ryan's total carb intake must be between 50 and 150 carbs.

Step-by-step explanation:

So he wants to keep his consumption of carbs between the inequalities:

$110$

So, let's solve both inequalities.

$110$

Subtract 10 from both sides:

$100$

Divide both sides by 2:

$50$

$2x+10$

Subtract 10 from both sides:

$2x$

Divide both sides by 2:

$x$

So, our inequality is now:

$110$

Since we solved the equations:

$50$

Written as a compound inequality, this is:

$50$

In other words, Ryan would like to eat more than 50 carbs per day, but no more than 150 carbs per day.

So, Ryan's total carb intake must be between 50 and 150 carbs.

4 0

2 years ago

Read 2 more answers

Find surface area of the prism

Vika [28.1K]

SA=(a+b+c) h+bh
=(5+12+13)*4+5*12
=20*4+60
=80+60
=140 cm squared

6 0

3 years ago

Select the correct answer from each drop-down menu.

sdas [7]

The graph described is the graph of a quadratic function.

The x-intercept of the function is at; (8, 0).

<h3>What type of function is described by the graph?</h3>

It follows from the description box of the graph that it begins in the third quadrant, and rises through a series of points in the first quadrant before it exits the first quadrant.

Hence, it follows that the graph is a quadratic function and its x-intercept is at point; (8,0).