1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mumz [18]
3 years ago
15

The bases of a right prism are isosceles trapezoids with bases of 10 ft and 18 ft

Mathematics
1 answer:
likoan [24]3 years ago
4 0

Answer:

540 ft^2.

Step-by-step explanation:

The area of the trapezoid = h/2 (10 + 18) = 14h.

By Pythagoras the height h = √(5^2 - 4^2) = 3.

So the area of the 2 trapezoidal bases = 2 * 14*3

= 84 ft^2.

Now we calculate the area of the four lateral rectangular sides:

= 10*12 + 18*12 + 2*5*12

= 456 ft^2.

Total area =  456 + 54

= 540 ft^2.

You might be interested in
Which number is equal to the expression 7 x 104 + 3 x 103 + 0 x 102 + 8 x 101 + 5 ?
suter [353]

Answer:

1

Step-by-step explanation:

Scientific notation is the way that scientists easily handle very large numbers or very small numbers. For example, instead of writing 0.0000000056, we write 5.6 x 10-9. So, how does this work?

We can think of 5.6 x 10-9 as the product of two numbers: 5.6 (the digit term) and 10-9 (the exponential term).

Here are some examples of scientific notation

6 0
3 years ago
The length of a rectangle is 4 m less than the diagonal and the width is 5 m less than the diagonal. If the area is 82 m^2, how
nikklg [1K]

I hate rounding.

Let's call the diagonal x.  It's the hypotenuse of the right triangle whose legs are the rectangle sides.

According to the problem we have a length x-4 and a width x-5 and an area

82 = (x-4)(x-5)

82 = x^2 - 9x + 20

0 = x^2 - 9x - 62

That one doesn't seem to factor so we go to the quadratic formula

x = \frac 1 2(9 \pm \sqrt{9^2-4(62)}) = \frac 1 2(9 \pm \sqrt{329})

Only the positive value makes any sense for this problem, so we conclude

x = \frac 1 2(9 \pm \sqrt{329})

That's the exact answer.  Did I mention I hate rounding?  That's about

x = 13.6 meters

Answer: 13.6

----------

It's not clear to me this problem is consistent.  By the Pythagorean Theorem the diagonal satisfies

x^2 = (x-4)^2 + (x-5)^2

which works out to

x=9 \pm 2\sqrt{10}

That's not consistent with the first answer; this problem really has no solution.  Tell your teacher to get better material.

5 0
3 years ago
I need help, please come answer this
JulsSmile [24]
10

Work:
PEMDAS
8 • 15/5 - (5 + 9)
8 • 3 - 14
24 - 14
10
3 0
3 years ago
Read 2 more answers
Find the area of a triangle with a base of 10 in. and an altitude of 14 in. (The formula for the area of a triangle is A = bh ÷
Vanyuwa [196]

Answer:

The correct option is B.

Step-by-step explanation:

The area of triangle is

A=\frac{1}{2}\times b\times h

Where, b is the base of the triangle and h is the height of the triangle.

It is given that the base of the triangle is 10 inch and the height of the triangle is 14 inch.

The area of given triangle is

A=\frac{1}{2}\times 10\times 14

A=10\times 7

A=70

Therefore the area of triangle is 70 square inch and the option B is correct.

3 0
4 years ago
Read 2 more answers
Please answer i really need help
Firlakuza [10]
X intercept is (1,0)
y intercept is (0,-4)
7 0
3 years ago
Other questions:
  • Max observes the zoo and the library from a helicopter flying at a height of 100 times square root of 3 feet above the ground, w
    5·1 answer
  • John sells book bags.he sells a leather bag for $69.80,and the sales tax is 6%
    6·1 answer
  • List two attibutes of a trapezoid for a kinderaten
    10·2 answers
  • According to the official M&M website, 24% of the plain milk chocolate M&M’s produced by Mars Corporation are blue. Anni
    7·1 answer
  • Please answer and help me pls
    12·1 answer
  • A packet contains blue and yellow flower seeds in thwle ratio 3:4. there are 32 floweer seeds​
    9·1 answer
  • Help now now the other 2 are Wednesday and Thursday
    11·1 answer
  • circle b is a transformation of circle a. describe the transformation that shows why circle a is similar to circle b
    12·2 answers
  • Please help it’s the last question
    5·1 answer
  • Please help with my questions, it would really help me out! (The numbers on the top are exponents" Please help!!!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!