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jeka94
3 years ago
12

Find the area of each face of the triangular prism and the total surface area.

Mathematics
1 answer:
Mashutka [201]3 years ago
8 0

Answer:

area of each triangular base = 24

area of bottom rectangular face = 160

area of back rectangular face = 120

area of sloped rectangular face = 200

Total = 504

Step-by-step explanation:

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If a 30-60-90 right triangle has a hypotenuse 6, what is the length of the short leg?
Anton [14]

Answer:

\sqrt[3]{3}

Step-by-step explanation:

use the Pythagoras Theorem

Since you have the hypotenuse (6"), just go backwards. 62 = 36 = a2 + b2.

6 0
2 years ago
a cylindrical water tank has a radius of 14.5 feet and the is filled with approximately 4950 cubic feet of water which of the fo
d1i1m1o1n [39]
Volume of Cylinder = πr²h
Radius r = 14.5 feet
Volume, V =  4950 cubic feet

4950 =  π*14.5²*h

π*14.5²*h = 4950

h =   4950 / (π*14.5²)    Use your calculator with π function

h = 7.494

Therefore height ≈ 7.50 feet to the nearest tenth of a foot. 
7 0
3 years ago
In a history class, students take a weekly multiple choice quiz consisting of 6 questions, each with 4 possible answers. if a st
Mademuasel [1]
There are 24 possible answers, 6 are correct answers and 18 are incorrect answers. By use of the hypergeometric distribution the probabilities of each possible number of randomly selected correct answers can be found, as follows:
P(0) = 0.1379, P(1) = 0.3819, P(2) = 0.341, P(3) = 0.1213, P(4) = 0.017, P(5) = 0.0008, P(6) = 0.000007.
The expected or mean number of correct answers is found from:
E(X)=0\times0.1379+1\times0.3819+2\times0.341+3\times0.1213+4\times0.017+5\times0.0008+6\times0.000007=1.4998
The answer is: 1.4998

8 0
2 years ago
Clayton drove at a constant rate on the highway for a trip to the beach. He did not make any stops along the way. The distance C
Nikolay [14]

The answer is the first 1 !!

Here is how we see if it is true!

If Clayton drives 60 miles per hour, that means, <u>t</u>hat after one hour has passed, they should have traveled 60 miles!

If we look at the number of hours that have passed between 1:30 and 4:30, it is 3 hours.

If someone travels 60 miles every hour that has passed, and they traveled for 3 hours. To find how far they have traveled we just need to multiply 60 miles by 3 hours!

Let's solve that!

60 × 3 = 180 miles!

Clayton started driving at 1:30 pm and went 60 miles per hour.

3 0
2 years ago
Solve this system using matrices:
sweet [91]

Answer:

Step-by-step explanation:

A system of linear equations is one which may be written in the form

a11x1 + a12x2 + · · · + a1nxn = b1 (1)

a21x1 + a22x2 + · · · + a2nxn = b2 (2)

.

am1x1 + am2x2 + · · · + amnxn = bm (m)

Here, all of the coefficients aij and all of the right hand sides bi are assumed to be known constants. All of the

xi

’s are assumed to be unknowns, that we are to solve for. Note that every left hand side is a sum of terms of

the form constant × x

Solving Linear Systems of Equations

We now introduce, by way of several examples, the systematic procedure for solving systems of linear

equations.

Here is a system of three equations in three unknowns.

x1+ x2 + x3 = 4 (1)

x1+ 2x2 + 3x3 = 9 (2)

2x1+ 3x2 + x3 = 7 (3)

We can reduce the system down to two equations in two unknowns by using the first equation to solve for x1

in terms of x2 and x3

x1 = 4 − x2 − x3 (1’)

1

and substituting this solution into the remaining two equations

(2) (4 − x2 − x3) + 2x2+3x3 = 9 =⇒ x2+2x3 = 5

(3) 2(4 − x2 − x3) + 3x2+ x3 = 7 =⇒ x2− x3 = −1

8 0
3 years ago
Read 2 more answers
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