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charle [14.2K]
3 years ago
14

In order to construct the perpendicular bisector of AB, which statement describes the compass settings and the number of arc int

ersections needed?
A. less than half the length of AB; 1
B. less than half the length of AB; 2
C. more than half the length of AB; 1
D. more than half the length of AB; 2
Mathematics
1 answer:
Bess [88]3 years ago
8 0

Answer:

More than half the length of AB; 2

Step-by-step explanation:

To perpendicular bisector any given line, more than half of that line is measured.

Draw arc from point A and B and intersect point.

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The company estimated that they would sell 500 caps during the football season. They actually sold 575. Find the percent error.
Paraphin [41]

Answer:  

13.1%

Step-by-step explanation:  

The company estimated that there would be 500 a ps during the football season

The actually sold 575

Therefore the percent error can be calculated as follows

= 575-500/575 × 100

= 75/575 × 100

= 0.1304×100

= 13.1%

Hence the percent error is 13.1%

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3 years ago
Need help with this math​
aliina [53]

Answer:

2247.2

Step-by-step explanation:

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What is the solution set of the equation, and why? <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx-11%7D%7Bx%2B4%7D%3D%202-%5Cfrac
Ne4ueva [31]

Domain:\\x+4\neq0\ \wedge\ x\neq0\\\\\boxed{D:x\neq-4\ \wedge\ x\neq0}\\------------------------\\\\\dfrac{x-11}{x+4}=2-\dfrac{4}{x}\\\\\dfrac{x-11}{x+4}=\dfrac{2x}{x}-\dfrac{4}{x}\\\\\dfrac{x-11}{x+4}=\dfrac{2x-4}{x}\qquad\text{cross multiply}\\\\(x+4)(2x-4)=x(x-11)\qquad\text{use distributive property}\\\\(x)(2x)+(x)(-4)+(4)(2x)+(4)(-4)=(x)(x)+(x)(-11)\\\\2x^2-4x+8x-16=x^2-11x\\\\2x^2+(-4x+8x)-16=x^2-11x\\\\2x^2+4x-16=x^2-11x\qquad\text{subtract}\ x^2\ \text{from both sides}

x^2+4x-16=-11x\qquad\text{add}\ 11x\ \text{to both sides}\\\\x^2+15x-16=0\\\\x^2+16x-x-16=0\\\\x(x+16)-1(x+16)=0\\\\(x+16)(x-1)=0\iff x+16=0\ \vee\ x-1=0\\\\\boxed{x=-16\in D\ \vee\ x=1\in D}\\\\Answer:\ B.\ \{-16,\ 1\}

5 0
3 years ago
Read 2 more answers
Find the area of the rectangle if AB = 2x + 1 and AD = 4x. A) 12x B) 8x2 + 1 C) 6x2 + 4x D) 8x2 + 4x
Arte-miy333 [17]

We are given sides of the rectangle AB = (2x+1) and

AD = 4x.

Area of rectangle = Length × Width

Area = 4x(2x+1).

Distributing 4x over (2x+1), we get

4x(2x+1) = 4x \times 2x + 4x \times 1

4x \times 2x = 8x^2 and

4x \times 1= 4x

4x(2x+1) = 8x^2 + 4x.

Therefore, Area = 8x^2 + 4x.

<h3>So, the correct option is D) \ 8x^2 + 4x.</h3>

5 0
3 years ago
What is the height of the triangle? A) 17 units B) 34units C) 51units D) 68units <br><br> Help??
drek231 [11]

Answer:

51 units

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

short leg : long leg : hypotenuse = 1 : sqrt(3) : 2

The reason this is relevant here is that in your case, you start with an equilateral triangle, FGH. An equilateral triangle is also equiangular, so all angles are congruent and measure 60 deg.

m<F = m<FGH = m<H = 60 deg

When the height GR is drawn, <FGH is bisected creating two 30-60-90 degree triangles, FGR and HGR.

The altitude GR also bisects side HF, so

HR = FR = (1/2)HF = 17*sqrt(3)

In 30-60-90 degree triangle FRG, the short leg is FR; the long leg is GR; the hypotenuse is FG.

Now we use the ratio of the lengths of the sides of a 30-60-90 degree triangle.

short leg : long leg : hypotenuse = 1 : sqrt(3) : 2

We use only the short leg and long leg parts of the ratios.

17*sqrt(3) : GR = 1 : sqrt(3)

GR * 1 = 17 * sqrt(3) * sqrt(3)

GR = 17 * 3

GR = 51

8 0
3 years ago
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