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3 years ago

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Henry and Liani have 200 feet of wood to frame a flower bed. Henry wants the bed to be a square, while Liani wants it to be a re

ctangle with dimensions of 55 feet and 45 feet. Which statement is true regarding the areas of the two flower beds?

1 answer:

uranmaximum [27]3 years ago

4 0

Henrys design would result in a larger flower bed because its area would be 2500 square feet

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From a group of 8 volunteers, including Andrew and Karen, 4 people are to be selected at random to organize a charity event. Wha

Helga [31]

Answer:

The correct option is D. 2/7

Step-by-step explanation:

Consider the provided information.

There are 8 volunteers including Andrew and Karen, 4 people are to be selected at random to organize a charity event.

We need to determine the probability Andrew will be among the 4 volunteers selected and Karen will not.

We want to select Andrew and 3 others but not Karen in the group.

Thus, the number of ways to select 3 member out of 8-2=6

(We subtract 2 from 8 because Andrew is already selected and we don't want Karen to be selected, so subtract 2 from 8.)

The required probability is:

$\dfrac{^6C_3}{^8C_4}=\dfrac{\frac{6!}{3!3!}}{\frac{8!}{4!4!}}\\\\\\\dfrac{^6C_3}{^8C_4}=\frac{20}{70}\\\\\\\dfrac{^6C_3}{^8C_4}=\dfrac{2}{7}$

Hence, the correct option is D. 2/7

6 0

3 years ago

Quadrilateral ABCD with vertices A(4, 3), B(4, -2), C(-4, -2) and D(-4, 3) is a rectangle, find the length of the diagonals.

marin [14]

Distance between two points P(x1,y1), Q(x2,y2):
D=sqrt((x2-x1)^2+(y2-y1)^2)

Polygons are generally named in order along the perimeter, so that for a rectangle ABCD, AC or BD are diagonals.
Here, we need the distance between points A(4,3) and C(-4,-2)
Applying the above formula for distance between two points,

D=sqrt((4-(-4))^2+(3-(-2))^2)=sqrt(8^2+5^2)=sqrt(64+25)=sqrt(89)

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2 years ago

What is the slope of the line which passes through (−2, 0) and (0, 4)?

avanturin [10]

Answer:

slope = 2

Step-by-step explanation:

Slope of a line given two points can be found using slope formula:

$\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}$

Given two points (-2, 0) and (0, 4):

$x_{1}=-2 \\x_{2}=0\\y_{1}=0\\y_{2}=4$

Plug them into the equation:

$\frac{(4-0)}{(0--2)}=\frac{4}{2}=2$

3 0

3 years ago

What is the probability of a couple having a girl, a boy, a girl and a boy in this specific order?

Effectus [21]

40%out of a 100 that is my answer

3 0

2 years ago

Luigi incorrectly solved the following equation. Explain the error in Luigi's work.

ruslelena [56]

Answer:

235

Step-by-step explanation:

6 0

2 years ago

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