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nikitadnepr [17]
2 years ago
12

Find the surface area of a rectangular prism with length 7 m, width 5 m, and height 3 m.

Mathematics
2 answers:
elena55 [62]2 years ago
8 0

Answer: The surface area is 142m^2

Step-by-step explanation:

-The formula:

A = 2(wl+hl+hw)

-Solve:

A = 2 (5 × 7) +2 (3 × 7) + 2 (3 × 5)

A = 10 × 7 + 6 × 7 + 6 × 5

A = 70 + 6 × 7 +6 × 5

A = 70 + 42 +6 × 5

A = 112 + 6 × 5

A = 112 +30

A = 142

Therefore, the surface area of a rectangular prism is 142 m ^2.

Anastasy [175]2 years ago
3 0

Answer:

142 meters

Step-by-step explanation:

As= 2(lw+lh+wh)

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If the endpoints of the diameter of a circle are (6, 3) and (2, 1), what is the standard form equation of the circle?
Anastasy [175]
If the endpoints of a diameter are (6,3) and (2,1) the midpoint is the center of the circle so:

(x,y)=((6+2)/2, (3+1)/2)=(4,2)

Now we need to find the radius....the diameter is:

d^2=(6-2)^2+(3-1)^2

d^2=16+4

d^2=20  since d=2r, r=d/2, and r^2=d^2/4 so

r^2=5

The standard form of the circle is (x-h)^2+(y-k)^2=r^2 and we know:
 
(h,k)=(4,2) from earlier so:

(x-4)^2+(y-2)^2=5
8 0
3 years ago
Evaluate the following using<br> powers of ten rules.<br> 104)1.042
Alinara [238K]

Answer:

0.0001042

Step-by-step explanation:

Power of tens rule states that if the denominator of a fraction has the positive power of 10, decimal in the numerator will be shifted to the left by the same number of places as exponent.

10⁴) 1.042 = \frac{1.042}{10^4}

In the denominator of the given fraction, exponent of 10 = +4

So the decimal in numerator will be shifted left by 4 places.

\frac{1.042}{10^4}=0.0001042

Therefore, answer is 0.0001042

5 0
2 years ago
Find the diameter of the circle. Assume the leg of the triangle is tangent to the circle. Round any decimals to the nearest tent
Anvisha [2.4K]

Answer:

8.7 units

Step-by-step explanation:

Given is a right angled triangle (because the segment with 5 units length is tangent to circle. Tangent is perpendicular to RADIUS or diameter)

Let the length of the diameter be d units

By Pythagoras Theorem:

d =   \sqrt{ {10}^{2} -  {5}^{2}  }  \\  =  \sqrt{100 - 25}  \\  =  \sqrt{75} \\  =  8.66025404 \\  = 8.7 \: units

3 0
2 years ago
Solve the system of linear equations by substitution. Check your solution.
bearhunter [10]
1. X+2=3x-4
6=2x
x= 3

2. y= 8-x
8-x = 3x+4
4= 4x
X= 1

3. -2x +3(2x+7)=9
-2x + 6x + 21 = 9
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8 0
3 years ago
Taylor surveys students in one grade level who own at least one pet. She finds that 50% of the students surveyed own 2 pets, 3 s
Rasek [7]

Answer:

Step-by-step explanation:

We know that half of the students has two pets. The rest of the students make up the other half. So, we have 3 students + 2 students + 8 students = 13 students that make half of the sample population

That means total number of students being surveyed is 13+13=26 students

Then we work out the probability

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P( Four pets) = 2/26 = 1/13

The probability distribution is shown in the table below. Let  be the number of pets and  is the probability of owning the number of pets

7 0
3 years ago
Read 2 more answers
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