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AleksandrR [38]
3 years ago
12

Two wires are attached 6 feet up a tree and 3 feet from the base of the tree. About how much TOTAL wire was used?

Mathematics
1 answer:
nalin [4]3 years ago
3 0

Answer:

9 cm²

Step-by-step explanation:

Two wires are attached 6 feet up a tree and 3 feet from the base of the tree. About how much TOTAL wire was used?

We solve the above question, using the Area of a Triangle

Area = 1/2 × Base × Height

Area = 1/2 × 3 × 6

Area = 9 cm²

Therefore, the total wore that was used was 9cm² of wire

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Solve for n. 3 (n 5) ≥ 3n 8 a. no solution b. n ≥ 23 c. n ≥ 7 d. all real numbers
REY [17]
3(n + 5) ≥ 3n + 8
3n + 15 ≥ 3n + 8
3n - 3n ≥ 8 - 15
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Therefore, the solution to the inequality is all real numbers.
8 0
2 years ago
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Ivan is an artist. He creates 1 sculpture for every 7 paintings. If he has created 63 paintings, how many sculptures has he crea
Stels [109]
9 sculptures

63 : 7 x 1 = 9
6 0
2 years ago
<img src="https://tex.z-dn.net/?f=12x%20%5E%7B2%7D%20%20%2B%204x%20%2B%2020" id="TexFormula1" title="12x ^{2} + 4x + 20" alt="1
Nesterboy [21]
<h3>Answer: </h3>

The GCF is 4

The polynomial factors to 4(3x^2+x+5)

==========================================================

Further explanation:

Ignore the x terms

We're looking for the GCF of 12, 4 and 20

Factor each to their prime factorization. It might help to do a factor tree, but this is optional.

  • 12 = 2*2*3
  • 4 = 2*2
  • 20 = 2*2*5

Each factorization involves "2*2", which means 2*2 = 4 is the GCF here.

We can then factor like so

12x^2 + 4x + 20\\\\4*3x^2 + 4*x + 4*5\\\\4(3x^2 + x + 5)

The distributive property pulls out that common 4. We can verify this by distributing the 4 back in, so we get the original expression back again.

The polynomial inside the parenthesis cannot be factored further. Proof of this can be found by looking at the roots and noticing that they aren't rational numbers (use the quadratic formula).

4 0
2 years ago
The sides of the parallelogram are 63cm and 76cm. if they intersect at an angle of 63 degrees, find the area of the parallelogra
S_A_V [24]
Area =  ab Sin O
        =  (63)(76) Sin 63 degrees
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3 0
3 years ago
Use the algebraic expressions for the length and width of Marlene's living room found in the
krok68 [10]

Answer:

<em>The area of Marlien's living room is 420 square ft</em>

Step-by-step explanation:

Before calculating the real dimensions of Marlien's living room, we must find the value of x.

Given the total shape of the house is a rectangle, then both widths must be equal and both lengths must be equal.

The widths are already written width identical expressions x-2+x, but the lengths are given as different functions of x. Equating both expressions, we have:

2x-10+x-2+\frac{1}{2}x-4+x-2=2x+2+\frac{1}{2}x-4+x-2

Simplifying:

-10 + x - 2 = 2

x = 10 + 2 + 2

x = 14

Since x=14 feet, the dimensions of Marlien's living room are

width=x=14 feet

length=2x+2=30 feet

Thus the area is:

A = 14*30 = 420 square ft

The area of Marlien's living room is 420 square ft

8 0
2 years ago
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