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Afina-wow [57]
2 years ago
11

Jordan created a scale drawing of a rectangular room. The drawing is 8 inches long by 6 inches wide. He used a scale of 1 inch -

3 feet. What is the area, in square feet,
Mathematics
1 answer:
liubo4ka [24]2 years ago
4 0

Answer: 144 feet

Step-by-step explanation:

Well solving for area you multiply length times wedth. So multiply 8 and 6 to get 48. Now you have to convert 48 inches into feet. So just multiply 48 times 3 to get 144.

You might be interested in
In triangle ABC we have angle C = 3 times angle A, a=27 and c=48 What is b? Note: a is the side length opposite A etc. please he
Dima020 [189]

Answer:

  35

Step-by-step explanation:

The law of sines tells us ...

  sin(C)/c = sin(A)/a

  a·sin(3A) = c·sin(A)

Using the identity sin(3x) = 3cos(x)·sin(x) -sin(x)^3 and sin(x)^2 +cos(x)^2 = 1, we can simplify this to ...

  sin(A)(4cos(A)^2 -1) = (c/a)sin(A)

  4cos(A)^2 = c/a +1 = (48+27)/27 = 75/27 = 25/9

  cos(A)^2 = 25/36

  cos(A) = 5/6

__

Now, the angle B will be the difference between 180° and the sum of the other two angles:

  B = 180° -A -3A = 180° -4A

Using appropriate trig identities, we can write ...

  sin(B) = 4cos(A)^3sin(A) -4sin(A)^3cos(A)

  = 4sin(A)cos(A)(cos(A)^2 -sin(A)^2)

  = 4sin(A)cos(A)(2cos(A)^2 -1)

Filling in our value for cos(A), this becomes ...

  sin(B) = 4sin(A)(5/6)(2(5/6)^2-1) = sin(A)(35/27)

__

The law of sines tells us ...

  b/sin(B) = a/sin(A)

  b = a·sin(B)/sin(A) = 27(35/27)sin(A)/sin(A) = 35

The length of side b is 35 units.

6 0
2 years ago
Tickets to a football game cost $15.00 each including tax and a bag of popcorn cost $2.25 and a soda cost $1.75 Xavier has $350.
adoni [48]

Answer:

18 (full answer: 18.4210526316)

Step-by-step explanation:

<em>I LOST MY ANSWER RIGHT WHEN I WAS ABOUT TO FINISH DUE TO BRAINLY ROBOT DETECTION  </em>

This question seems incomplete. I dont know the tax, and what he wants to do with the $350, so I'll just work without them.

I'm going to assume that he wants to buy extra tickets, popcorn, and soda with the extra money.

1. add $15, $2.25, and $1.75

2. 15.00+2.25+1.75= 19.00

3. divide 350 by 19

350/19= roughly 18.42

So, Xavier can buy 18 tickets with food and drinks.

8 0
3 years ago
Professors at a local university earn an average salary of $80,000 with a standard deviation of $6,000. The salary distribution
Sladkaya [172]

Answer:

d. It is at most 25 percent.

Step-by-step explanation:

According to Chebyshev's inequality, for a given number of standard deviations, k, no more than 1/k² can be more than k standard deviations from the mean. In this situation the amount of standard deviations from the mean of the upper and lower bound of salaries are:

U=\frac{\$92,000-\$80,000}{\$6,000}=2\\L = \frac{\$80,000-\$68,000}{\$6,000}= 2

For k = 2, applying Chebyshev's inequality:

P( \$68,000 \leq X \leq \$92,000)= \frac{1}{2^2} = 0.25

Therefore, at most 25% of the salaries are less than $68,000 or more than $92,000.

7 0
3 years ago
A fast-food restaurant offers 7 different burgers, 5 different side orders, 8 different flavor drinks, and 8 different flavors o
givi [52]
548800.
Use the fundamental counting principle and combinations formula to find the total possibilities. use combinations to find the combos then multiply each set of possibilities together.

7 nCr 3 = 35 hamburgers combo possibilities.
5 nCr 2 = 10 sides combo possibilities
8 nCr 3 = 56 drinks combo possibilities
8 nCr 2 = 28 ice cream combo possibilities

Multiply each possibility together to get total possibilities.
35*10*56*28 = 548800

8 0
3 years ago
4 Bella has a bake sale to raise money for her class trip to Disneyland. She sells a bag of
Fynjy0 [20]

Answer:

Step-by-step explanation:

Put the 5 and subtract instead of add

7 0
2 years ago
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