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3 years ago

Frank wants to build a garden with the dimensions below.

Mathematics

2 answers:

dexar [7]3 years ago

7 0

Given:
Length = x + x + 3 = 2x + 3
Width = 2 + x

Area = length * width
91 ft² = (2x + 3) (2+x)
91 = 4x + 2x² + 6 + 3x
0 = 2x² + 7x + 6 - 91
0 = 2x² + 7x - 85

(2x + 17) ( x - 5)

x = -17/2 or x = 5

Let x = 5 ;

length = 2x + 3 = 2(5) + 3 = 13
width = 2 + x = 2 + 5 = 7

Area = 13 x 7 = 91

Perimeter = 2(length + width)
Perimeter = 2(13 + 7)
Perimeter = 2(20)
Perimeter = 20 feet of fencing

lozanna [386]3 years ago

7 0

Answer:

The length is 13 and the width is 7, but the length of fencing, is 40, because there are 4 sides. Two thirteens = 26 + Two sevens = 14

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Alex runs up a staircase with n steps, and can hop either 1, 2, or 3 steps at a time. Count how many possible ways the child can

MArishka [77]

Answer:

There are 4 possible ways

Step-by-step explanation:

Data provided in the question:

Alex can hop in 1 steps, 2 steps, or 3 steps at a time.

From the above data it can be concluded that at a single maximum 3 steps can be run at a time

thus,

for running 3 steps at a time from the above data, we can have

with 1 step only : {1 , 1 , 1}

with 1 step first and 2 steps : {1 , 2}

with 2 steps first and then the 1 step: {2 , 1}

and 3 steps at once : {3}

thus, we have 4 possible ways to run up the stairs keeping the above condition.

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3 years ago

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34kurt

The answer isssss 15

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2 years ago

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The radio of boys to girls in Miss ronilo's math class is 3 to 1 what percent of the classes is girls

9966 [12]

Imagine that the class only had 4 students (unrealistic most likely, but small numbers help much better I think)

If we had 4 students and 3 were boys, then 4-3 = 1 girl is in the class. This makes the ratio of boys to girls be 3 to 1. In other words, there are 3 times as many boys compared to girls.

Divide the number of girls (1) over the number of students total (4) to get 1/4 = 0.25 = 25%

<h3>Answer: 25%</h3>

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3 years ago

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Juan is a tennis player who has won 52% of his tennis matches. What is the probability that he will lose his next match. A) 52%

makkiz [27]

Answer:

The probability that he will lose the next tennis matches is <u>48% ( answer B)</u>

Step-by-step explanation:

The total probability should be = 100 %

therefore if the probability of winning is 52% the probability of losing

= 100 - 52 = 48%

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3 years ago

Figure not drawn to scale.

DerKrebs [107]

Though you do not provide a diagram, I am going to give this a try by assuming that O is the center of the circle, OA is a radius, and angle AOB is a central angle that measures 88 degrees.

We want to find out the area of sector AOB. First, we need to find the area of the entire circle. The area of a circle is given by $A= \pi r^{2}$ and since the radius of this circle is equal to 1, the area is $\pi ( 1^{2} )= \pi$

Next we need to know what fraction of the circle sector AOB represents. The distance around the circle is 360 degrees but the central angle that intercepts arc AB is 88 degrees. That meas that the fraction of the circle the sector represents is given by $\frac{88}{360}= \frac{11}{45}$

We multiply this by the area to obtain $\frac{11}{45} \pi$ which is the area of the sector.

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3 years ago