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MA_775_DIABLO [31]
2 years ago
12

Sam has a strip of wood that is 3 4 foot long and 1 6 foot wide. He wants to use the wood to patch a damaged area on his desk. H

ow much of the desk will the patch cover? Drag and drop a value to the box to correctly complete the sentence.
The patch will cover______square foot of the desk.
1. 2/9
2. 1/8
3. 1/5
4. 3/10

Mathematics
2 answers:
MArishka [77]2 years ago
6 0

Answer:

1 / 8

Step-by-step explanation:

I'm assuming that is meant to be 3/4 and 1/6...

Area = Length * Width

A = 3/4 * 1/6

A = 3 / 24

simplify the fraction to get your answer

Alex73 [517]2 years ago
6 0

See picture for the answer.




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There are 41 dogs in the shelter
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Please someone help me!!!! SHOW ALL WORK! ive been stuck on this question for 2 days!! :((((((
Otrada [13]

Step-by-step explanation:

x² + y² − 8x + 10y − 8 = 0

Rearrange:

x² − 8x + y² + 10y = 8

To complete the square, take half of the x and y coefficients, square it, then add the result to both sides.

(-8/2)² = 16

(10/2)² = 25

x² − 8x + 16 + y² + 10y + 25 = 8 + 16 + 25

x² − 8x + 16 + y² + 10y + 25 = 49

Factor the squares:

(x − 4)² + (y + 5)² = 49

The center is (4, -5) and the radius is 7.

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2 years ago
In a statistics class there are 18 juniors and 10 seniors; 6 of the seniors are females and 12 of the juniors are males. If a st
Natasha_Volkova [10]

Answer:

P(a junior or a senior)=1

Step-by-step explanation:

The formula of the probability is given by:

P(A)=\frac{n(A)}{N}

Where P(A) is the probability of occurring an event A, n(A) is the number of favorable outcomes and N is the total number of outcomes.

In this case, N is the total number of the students of statistics class.

N=18+10=28

The probability of the union of two mutually exclusive events is given by:

P(AUB)=P(A)+P(B)

Therefore:

P(a junior or a senior) =P(a junior)+P(a senior)

Because a student is a junior or a senior, not both.

n(a junior)=18

n(a senior)=10

P(a junior)=18/28

P(a senior) = 10/28

P(a junior or a senior) = 18/28 + 10/28

Solving the sum of the fractions:

P(a junior or a senior) = 28/28 = 1

4 0
3 years ago
What is 444x212 pls answer
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Answer:

94,128

Step-by-step explanation:

4 0
3 years ago
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Jake has a rectangular garden that measures 12 feet by 14 feet. He wants to increase the area by 50% and plans to increase each
emmasim [6.3K]

<em>In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:</em>

x\approx 2.9ft

<h2>Explanation:</h2><h2 />

First of all, let's calculate the area of the original rectangular garden:

A=b\times h \\ \\ b:base \\ \\ h:height \\ \\ \\ b=12ft \\ \\ h=14ft \\ \\ \\ A=12(14) \\ \\ A=168ft^2

Jake wants to increase the area by 50%, so the new area would be:

A'=168(1.5) \\ \\ A'=252ft^2

He wants to increase the area by 50% and plans to increase each dimension by equal lengths, x, so this is represented by the figure below, therefore:

(12+x)(14+x)=252 \\ \\ 168+12x+14x+x^2-252=0 \\ \\ x^2+26x-84=0 \\ \\ \\ Using \ quadratic \ formula: \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ a=1 \\ \\ b=26 \\ \\ c=-84 \\ \\ \\ x=\frac{-26 \pm \sqrt{26^2-4(1)(-84)}}{2(1)} \\ \\ x=\frac{-26 \pm \sqrt{1012}}{2} \\ \\ \\ Two \ solutions: \\ \\ x_{1}=-13+\sqrt{253} \approx 2.9\\ \\ x_{2}=-13-\sqrt{253} \approx -28.9 \\ \\ x_{2} \ is \ discarded \ because \ it \ can't \ be \ negatives

Finally:

<em>In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:</em>

x\approx 2.9ft

<h2>Learn more:</h2>

Dilation: brainly.com/question/10945890

#LearnWithBrainly

6 0
2 years ago
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