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3 years ago

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Mathematics

1 answer:

Leya [2.2K]3 years ago

8 0

Step-by-step explanation:

the volume of a regular prism is simply

base area × height

in our case we have a triangular prism, which means the base area (as well as the top area) is a triangle.

the base is defined as a 45° - 45° - 90° triangle.

so, since we have a 90° angle, this is a right-angled triangle.

the other 2 angles are equal to each other, so, it is an isoceles triangle (both legs are equally long).

since one leg is 8 in long, this means the other leg is 8 in too.

the area of a triangle is

baseline × height / 2

in case of a right-angled triangle (the legs enclose the 90° angle) one leg can be considered as the baseline, and the other leg as the height.

and the area is

leg1 × leg2 / 2

and in case of an isoceles right-angled triangle this is

leg² / 2

in our case

8² / 2 = 64/2 = 32 in²

now, the volume of the prism here is then

32 × 3.5 = 112 in³

You might be interested in

if on a scale drawing 35 feet are represented by 25 inches, then a scale of 1/8 inch represents how many feet?

kirill115 [55]

Answer:

7/40 feet

Step-by-step explanation:

Solve using proportions:

$\frac{25in}{35ft} =\frac{1/8 in}{?ft}$

Find the scale factor by dividing the numerators 25 by 1/8.

25 ÷ 1/8 = 200 This is the common ratio

To get from the top left number to the top right number, you divide 25 by 200.

To get from the bottom left number to the bottom right number, you divide 35 by 200.

35 ÷ 200 = 0.175

1/8 of an inch represents 0.175 feet.

To find 0.175 in fraction form, reduce 35/200 to its lowest terms.

35/200 = 7/40

1/8 of an inch represents 7/40 feet.

8 0

3 years ago

Make ‘w’ the subject.

Romashka-Z-Leto [24]

Answer:

w = (cv +dy) / (cb - ad)

Step-by-step explanation:

Multiply through by c

aw + y = c(bw + v) / d Multiply by d

d(aw + y) = c(bw + v) Remove the brackets

daw + dy = cbw + cv Subtract dy from both sides.

daw +dy - dy = cbw + cv -dy

daw = cbw + cv - dy Subtract cbw from both sides

daw - cbw = cbw - cbw + cv - dy

daw - cbw = cv - dy Isolate W on the left.

w(da - cb) = cv - dy Divide by cb - ad on both sides.

w = (cv - dy) / (ad - bc) Answer

6 0

3 years ago

Q1:

oee [108]

Answer:

tyson had the better deal.

Step-by-step explanation:

hed had the better deal because 168 divided by 8 is 21 which is less than 24

5 0

4 years ago

PLease tell me how to do it that will give you brainliest

Evgen [1.6K]

Answer: Table H would be the correct answer;

The rule of a function is that for each x-value given there can't be more than 1 y-value

In Table F:

x = -13, then y = -2

x = -13, then y = 0

x = -13, then y = 5

x = -13, then y = 7

For the x-value -13, there are 4 different y-values, so it's not a function.

In Table G:

x = -6, then y = 3

x = -1, then y = -1

x = -1, then y = 5

x = 10, then y = -9

For the x-value -1, there are 2 different y-values, hence this isn't a function.

In Table H:

x = 1, then y = 4

x = 3, then y = 4

x = 7, then y = 4

x = 12, then y = 4

For each x-value, there is only 1 y-value, so this is a function.

In table J:

x = -9, then y = -7

x = -2, then y = -5

x = 0, then y = 0

x = 0, then y = 6

For the x-value 0, there are 2 different y-value therefore this isn't a function

Hope this helps!

6 0

3 years ago

A professor wanted to find a linear model that relates the number of hours a student plays video games each week, h, to the cumu

Paladinen [302]

Answer:

question seems incomplete but with the limited information one can deduce that the professor was trying to investigate how students CGPA is affected by the length of period spent on video games.

Step-by-step exp

independent variables are constants. they do not change or depend on any other variable.

dependent variables, they do depend on other variables, we call them resulting variables..

5 0

3 years ago