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ValentinkaMS [17]
3 years ago
14

Could somebody please answer these four questions with simple yet explanatory answers?

Mathematics
2 answers:
Olin [163]3 years ago
8 0
Pooja answered #1 and #2 correct, so I shall make my life easier by answering #3 and #4 :P

#3 tests the concept of surface area. The gift wrap will be covering only the surface of each side. Surface area is all of the outside. Volume is all of the stuff inside.

So the surface area of rectangular prism can be found by the formula:
SA = 2(LW + LH + WH)
SA = 2(9*7 + 7*4 + 9*4)
SA = 2(63 + 28 + 36)
SA = 2(<span>127)
SA = 254 in</span>²<span>

#4 also needs you to find the surface area. 
So the surface area of a triangular prism can be found by this formula:
</span>SA = bh + (\sf s_1 + s_2 + s_3)h
SA = (6.3*2) + (6.3 + 2.5 + 5.2)3
SA = 12.6 + (14*3)
SA = 12.6 + 42
SA = 54.6 cm²
Kamila [148]3 years ago
7 0
1) Surface Area = 2(lw + lh + wh)
2(4*5+4*9+5*9) =202in^2
Surface Area=202in^2
Lateral Area= Perimeter of base * height
5+5=10  <--width+width
4+4=8 <---length + length 
10+8=18  <--total perimeter
18 * 9=162in^2  <--multiplied the height +perimeter of base  
Lateral Area=162in^2

2) Same concept as the previous one
 Surface Area = 2(lw + lh + wh)
2(4*2+4*5+5*2) =76in^2
Surface Area= 76in^2

Lateral Area
Lateral Area= Perimeter of base * height
4+4=8
2+2=4
8+4=12
12 x 5=60
Lateral Area= 60in^2  
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If you write out the numbers from 1 through 40 (including 1 and 40), how many numbers have a "5" in them?
GaryK [48]

Answer:

4

Step-by-step explanation:

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40

6 0
3 years ago
What is the greatest<br> common factor (GCF) of 16<br> and 21
viktelen [127]

Answer:

1

Step-by-step explanation:

Let's start by prime factorizing (finding the prime factors) of 16 and 21:

16=4*4=2*2*2*2=2^4

21=3*7

We can see that they DO NOT have any common factors, meaning that their greatest common factor is 1.

6 0
2 years ago
Read 2 more answers
General solutions of sin(x-90)+cos(x+270)=-1<br> {both 90 and 270 are in degrees}
mixer [17]

Answer:

\left[\begin{array}{l}x=2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{2}+2\pi k,\ k\in Z\end{array}\right.

Step-by-step explanation:

Given:

\sin (x-90^{\circ})+\cos(x+270^{\circ})=-1

First, note that

\sin (x-90^{\circ})=-\cos x\\ \\\cos(x+270^{\circ})=\sin x

So, the equation is

-\cos x+\sin x= -1

Multiply this equation by \frac{\sqrt{2}}{2}:

-\dfrac{\sqrt{2}}{2}\cos x+\dfrac{\sqrt{2}}{2}\sin x= -\dfrac{\sqrt{2}}{2}\\ \\\dfrac{\sqrt{2}}{2}\cos x-\dfrac{\sqrt{2}}{2}\sin x=\dfrac{\sqrt{2}}{2}\\ \\\cos 45^{\circ}\cos x-\sin 45^{\circ}\sin x=\dfrac{\sqrt{2}}{2}\\ \\\cos (x+45^{\circ})=\dfrac{\sqrt{2}}{2}

The general solution is

x+45^{\circ}=\pm \arccos \left(\dfrac{\sqrt{2}}{2}\right)+2\pi k,\ \ k\in Z\\ \\x+\dfrac{\pi }{4}=\pm \dfrac{\pi }{4}+2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{4}\pm \dfrac{\pi }{4}+2\pi k,\ \ k\in Z\\ \\\left[\begin{array}{l}x=2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{2}+2\pi k,\ k\in Z\end{array}\right.

4 0
3 years ago
I would appreciate some help with this question ASAP!
Flauer [41]

Answer:

(4,2 1/2)

Step-by-step explanation:

7 0
3 years ago
The scale of a model train is 1 inch to 13.5 feet. One of the cars of the model trial is 5 inches long. What is the length, in f
garik1379 [7]
If 1 inch is 13.5 feet, then 5 inches = (13.5 * 5) = 67.5 ft
8 0
3 years ago
Read 2 more answers
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