Pls need help w this question

Colton has a stone paperweight composed of a triangular pyramid on top of a triangular prism with the dimensions shown below. Us

Eva8 [605]

The area of the base would be found using the area of a triangle formula which is 1/2 x base x height.

The base and height are the two sides perpendicular to each other, which are both 5 inches.

The area of the base = 1/2 x 5 x 5 = 12.5 square inches.

The volume of the triangular prism is the area of the base times the height, which is 4 inches.

Volume of the triangular prism is 12.5 x 4 = 50 cubic inches.

Volume of the triangular prism is 1/3 x area of base x height, which is 7:

Volume of the triangular prism = 1/3 x 12.5 x 7 = 29.17 cubic inches.

Total volume = 29.17 + 50 = 79.17 cubic inches.

3 0

3 years ago

A family has traveled 114 miles of a planned trip. This is 37% of the total distance they must travel on the trip. Find, correct

denis23 [38]

Answer:

The total distance they will travel on their trip is 308 miles.

Step-by-step explanation:

This question can be solved using a rule of three.

114 miles is 37% = 0.37. How many mines are 100% = 1?

114 miles - 0.37

x miles - 1

$0.37x = 114$

$x = \frac{114}{0.37}$

$x = 308.11$

Rounding to the nearest mile

The total distance they will travel on their trip is 308 miles.

6 0

3 years ago

There are 5 exams in a semester. You have scored 77, 90, 85, and 100 on the previous four exams. What must you make on the fifth

siniylev [52]

Answer:

<h2>The correct answer for this question is 78.</h2>

Step-by-step explanation:

The average or mean of any variable or mathematical phenomenon is calculated as the division of the sum of all the numbers or items within the particular variable by the total number of items or numbers within the variable.
In this case, the marks of the 4 exams in the semester are 77,90,85 and 100 respectively.There are total 5 exams in the semester.
Let's suppose that the marks for the 5th exam is x.
Therefore, based on the mathematical formula to compute average or mean,to get an overall average of 86 including all the 5 exams, one has to get:-

$\frac{77+90+85+100+x}{5}=86$

$77+90+85+100+x=430$

$x=430-77-90-85-100$

$x=78$

Hence, based on the above calculations,one has has to get 78 on the 5th exam to obtain an overall average of exactly 86.

5 0

3 years ago

Which of the following fractions is closest to the decimal 0.35

Eva8 [605]

<span>These are the options that I found for this question.

1/3

3/5

3/8

5/1/2

You just have to make the division and compare the results>

1 / 3 = 0.333..

3 / 5 = 0.6

3 / 8 = 0.375

5 / 12 = 0.416.....

So which is closest to 0.35? The answer is 1/3
</span>

8 0

2 years ago

You are buying decorations for a birthday party. Six rolls of crepe paper and 20 balloons cost $11.90. After you start decoratin

Kryger [21]

Balloons are $0.25 per piece, and rolls of crepe paper are $1.15. In result, your answer would be A.

7 0

3 years ago