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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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275 / 25 = 11    25 goes into 275 11 times
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The measurements of two sides of a triangular playground are 24 feet and 30 feet. Which length could be the measurement of the t
Likurg_2 [28]

The length measurement of the third side of the triangular playground whose two sides are 24 ft and 30 ft long should be more than 6 but less than 54.

<h3>What is triangle inequality theorem?</h3>

Triangle inequality theorem of a triangle says that the sum of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

(a+b)>c

(b+c)>a

(c+a)>b

There is a triangular playground. The measurements of two sides of a triangular playground are 24 feet and 30 feet.

Suppose the length of the measurement of the third side of the triangular playground is <em>c</em> meters.

As the two sides are 24 ft and 30 ft long. Thus, by the triangle inequality theorem,

24+30 > c\\54 > c

For the sides 24 ft and c ft,

24+c > 30\\c > 30-24\\c > 6

Thus, the length measurement of the third side of the triangular playground whose two sides are 24 ft and 30 ft long should be more than 6 but less than 54.

Learn more about the triangle inequality theorem here;

brainly.com/question/26037134

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2 years ago
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Write in standard form: 800,000 + 70,000 + 400 + 6
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870,406

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What is the 60th term of the sequence 2, -3, -8, -13?
aleksandrvk [35]

Answer:

  -293

Step-by-step explanation:

The first term of the arithmetic sequence is a1 = 2. The common difference is d = -3-2 = -5. The general term is ...

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The 60th term is ...

  a60 = 2 -5(60 -1) = -293

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16. Let W be the set of all vectors in R3 of the form a+2b b -3a Find a basis for Wand state the dimension of W.
Yuki888 [10]

Answer:

W=\{\left[\begin{array}{ccc}a+2b\\b\\-3a\end{array}\right]: a,b\in\mathbb{R} \}

Observe that if the vector x=\left[\begin{array}{ccc}x\\y\\z\end{array}\right] is in W then it satisfies:

\left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{c}a+2b\\b\\-3a\end{array}\right]=a\left[\begin{array}{c}1\\0\\-3\end{array}\right]+b\left[\begin{array}{c}2\\1\\0\end{array}\right]

This means that each vector in W can be expressed as a linear combination of the vectors \left[\begin{array}{c}1\\0\\-3\end{array}\right], \left[\begin{array}{c}2\\1\\0\end{array}\right]

Also we can see that those vectors are linear independent. Then the set

\{\left[\begin{array}{c}1\\0\\-3\end{array}\right], \left[\begin{array}{c}2\\1\\0\end{array}\right]\} is a basis for W and the dimension of W is 2.

7 0
2 years ago
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