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Zarrin [17]
4 years ago
15

What is the volume of the following triangular prism?

Mathematics
2 answers:
BlackZzzverrR [31]4 years ago
7 0

Answer: 3000cm3

To find the area you need to find the area of the triangle and multiply that by the height of the prism.

The area of the triangle is

.5*12*10 = 60

And the height is .5m = 50cm

So the area will be

60*50 = 3000

nataly862011 [7]4 years ago
6 0

Hello!

<h2>Answer:</h2>

\boxed{ \bf The~volume~of~the~triangular~prism~is~3,000~cm^3}

_____________________________________________________

<h2>Explanation:</h2>

We'll need the formula for the volume of a triangular prism to solve this. The formula is: b × h × l ÷ 2

This simply means that you have to multiply the base by the height and length, and divide all of that by 2.

Base = 10 cm

Height = 12 cm

Length = 50 cm

(I converted the 0.5 m to cm. It's 50 cm)

Substitute these values into the formula and solve:

v = 10 × 12 × 50 ÷ 2

v = 6,000 ÷ 2

v = 3,000 cm³

Have a fabulous day! :)

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Mike is making a mixture for an upcoming camp trip. He makes the mixture by combining 1/3 of a cup of cashews and 1/4 cups of al
kozerog [31]

Answer:

16 cups of cashews

12 cups of almonds

Step-by-step explanation:

Let's say x is the cups of cashews and y is the cups of almonds.

We can write two equations:

x / y = (1/3) / (1/4) = 4/3

x + y = 28

Solve the system of equations using substitution.

x = 4/3 y

4/3 y + y = 28

7/3 y = 28

y = 12

x = 16

7 0
3 years ago
Mary bowled six games this week. Her scores were 138,151,198,147,156, and 173. What was her average for those
erica [24]

The average of scores is 160.5

Step-by-step explanation:

Mean is the sum of all values divided by the number of values.

Given scores are:

138,151,198,147,156, and 173

The formula for average score is given by:

Avg = \frac{Sum}{items}

Putting values

Avg = \frac{138+151+198+147+156+173}{6}\\Avg = \frac{963}{6}\\= 160.5

The average of scores is 160.5

Keywords: Mean, Average

Learn more about mean at:

  • brainly.com/question/8811218
  • brainly.com/question/853574

#LearnwithBrainly

4 0
4 years ago
Help with 5b please . thank you.​
Allushta [10]

Answer:

See explanation

Step-by-step explanation:

We are given f(x)=ln(1+x)-x+(1/2)x^2.

We are first ask to differentiate this.

We will need chain rule for first term and power rule for all three terms.

f'(x)=(1+x)'/(1+x)-(1)+(1/2)×2x

f'(x)=(0+1)/(1+x)-(1)+x

f'(x)=1/(1+x)-(1)+x

We are then ask to prove if x is positive then f is positive.

I'm thinking they want us to use the derivative part in our answer.

Let's look at the critical numbers.

f' is undefined at x=-1 and it also makes f undefined.

Let's see if we can find when expression is 0.

1/(1+x)-(1)+x=0

Find common denominator:

1/(1+x)-(1+x)/(1+x)+x(1+x)/(1+x)=0

(1-1-x+x+x^2)/(1+x)=0

A fraction can only be zero when it's numerator is.

Simplify numerator equal 0:

x^2=0

This happens at x=0.

This means the expression,f, is increasing or decreasing after x=0. Let's found out what's happening there. f'(1)=1/(1+1)-(1)+1=1/2 which means after x=0, f is increasing since f'>0 after x=0.

So we should see increasing values of f when we up the value for x after 0.

Plugging in 0 gives: f(0)=ln(1+0)-0+(1/2)0^2=0.

So any value f, after this x=0, should be higher than 0 since f(0)=0 and f' told us f in increasing after x equals 0.

8 0
3 years ago
What are the x intercepts
Oksi-84 [34.3K]

Answer

DescriptionIn mathematics, a zero of a real-, complex-, or generally vector-valued function, is a member of the domain of such that vanishes at; that is, the function attains the value of 0 at, or equivalently, is the solution to the equation. A "zero" of a function is thus an input value that produces an output of.

Step-by-step explanation:x is the connection of the y intercept in a equation dealing with a graph or coordinates.

8 0
3 years ago
Given z=f(x,y),x=x(u,v),y=y(u,v), with x(4,1)=5 and y(4,1)=2, calculate zv(4,1) in terms of some of the values given in the tabl
Yuliya22 [10]
z=f(x(u,v),y(u,v))\implies z_v=f_xx_v+f_yy_v

z_v(4,1)=f_x(5)x_v(4,1)+f_y(2)y_v(4,1)

No table = incomplete answer
3 0
3 years ago
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