What is the surface area of this prism? A. 3240 m2 B. 6480 m2 C. 1656 m2 D. 3312 m2

Answers

Answer 1

Answer:

Answer:

The surface area of the prism is $1656 m^2$ .

Step-by-step explanation:

In order to obtain the surface area we need to find the areas of all the sides. Then, we have two triangles and three rectangles.

Let us find the area of the triangles and denote it by $A_1$ . Notice that both triangles are equal. We know that the area of a triangle is

$A_t = bh/2$

where $b$ stands for the length of the base, and $h$ stands for the length of the height. From the figure we know that $b=18m$ and $h=12m$ . Hence, the area of the triangle is

$A_t = bh/2=12\cdot 18/2=108 m^2.$

To obtain the area of both sides we only need to multiply $A_t$ by two:

$A_1=2A_t=216 m^2.$

Let us find now the area of the bottom rectangle and denote by $A_2$ . The area of the rectangle is $A_r = bh$ , where $b$ stands for the length of the base, and $h$ stands for the length of the height. From the figure we know $h=18m$ and $b=30m$ . So,

$A_2=30\cdot 18 = 540m^2$ .

For the other two rectangle notice that they have the same dimensions: the length of the base is 30m and the length of the height is 15. So, the area of one of them is

$A_3=30\cdot 15 = 450m^2$ .

Finally, the surface area is the result of adding all the areas:

$A=A_1+A_2+2A_3 = 216 m^2 + 540 m^2 + 2\cdot 450 m^2 = 1656 m^2.$

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Which set of side lengths defines a right triangle?A.

7, 9, 13

B.

5, 12, 14

C.

8, 15, 17

D.

9, 12, 14

Answers

If you have a lot of Pythagorean triples memorized, then you'd probably know immediately, but if not, then you can use the Pythagorean Theorem to calculate each one:

A.: 7^2+9^2=49+81 which is not equal to 13^2, or 169

B.: 5^2+12^2=25+144 which is not equal to 14^2, or 196

C.: 8^2+15^2=64+225=17^2=289

D.: 9^2+12^2=81+144 which isn't equal to 14^2, or 196

Therefore, the correct answer is C.

I need help!!! what is the highest common factor of 30 and 60?

Answers

I thought it was 10 because 10 x 3 and 10 x6 but it is 2

The Greates Common Factor (GCF) is: 2 x 3 x 5 = 30

5,069 round to the nearest tenth

Answers

Answer:

5069.0

Step-by-step explanation:

The tenth value is the value directly after the decimal point. In this case, the number given is a whole number, and so to find the tenth place value, add a decimal point and a 0 to the back.

Answer:

5,070

Step-by-step explanation:

Room is 360 square feet. The width is 5/8 the length. What is the length

Answers

Since you are given the width of 5/8 of the length, I will assume thatthe figure is a rectangle. Let us represent W as the width and L as the length.So we have W = 5/8L. then we are also given the area of the rectangle at 360square feet. The area of the rectangle is represented by the formula A = LxW.

A = LxW
360 square feet = L(5/8L)
L^2 = 576 square feet
L = 24 feet

Need help fast! Where does the line y=x-9 cross the y axis? Same with the line y=-2x-3 . Please give me a detailed method as well as an explanation as i need to know this for my end of year exam:)

Answers

y = x - 9 meets the y-axis at (0,-9) y = -2x - 3 meets the y-axis at (0,-3) This is because for every linear equation, there is a formula corresponding to it as y=mx + c, where (0,c) is where it meets the y-axis. As we assign the value of 0 to x, only c will be left to equal y, being the intercept.

Lindsay's estimated cost for the first year at a two year college and her assets are shown in the tables below. Lindsay uses her savings to pay for the year after the grant and scholarship are applied. How much more money does Lindsay have left in her savings? Tuition and fees: $7,800.00
Room and board: $6,725.00
Books and supplies: $1,200.00
Personal expenses: $2,225.00

Savings: $5,685.00
First year grant: $1,500.00
First year scholarship: $3,750.00

Answers:
A: $895.76
B: $905.82
C: $1,185.00
D: $1,364.00

Answers

so we have to add the expenses and savings, and subtract them afterwards, lets call them negative and positive respectively to group them:
negative = tuition + room + book + personal
negative = 7800 + 6725 + 1200 + 2225
negative = 17950

positive = savings + grant + scolarship
positive = 5685 + 1500 + 3750
positive = 10935

we have to subtract the negative from the positive to have a grand total:
total = positive - negative = 10935 - 17950= -7015
that means that the savings, grant and scholarship are not enough to pay the total expenses, they lack $7015 indeed