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Lostsunrise [7]
3 years ago
8

A= 12.8m B=13.9m C=12m D= 7m

Mathematics
1 answer:
Bogdan [553]3 years ago
5 0

Answer:

C: 12m

Step-by-step explanation:

We can solve this by using the Pythagorean Theorem a^{2} + b^{2} = c^{2}

For this triangle

a= x   b= 5   c= 13

We now have the equation

x^{2} + 5^{2} =13^{2}

If we simplify this we get

x^{2} + 25 = 169

Next, we subtract 25 from both sides

x^{2} = 144

Finally, if we take the square root of both sides of the equation, we find that

x= 12

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The Nuthouse offers a mixture of soy nuts and almonds, Almonds
elena55 [62]

Answer:

  14 pounds

Step-by-step explanation:

The given equations can be solved for y by substituting for x. The first equation is convenient for writing x in terms of y.

<h3>Solution</h3>

  x = 20 -y . . . . . . . subtract y from the first equation

  7(20 -y) +5.5y = 119 . . . . . substitute for x in the second equation

  140 -1.5y = 119 . . . . . . . . simplify

  21 = 1.5y . . . . . . . . . . . add 1.5y -119 to both sides

  14 = y . . . . . . . . . . . .divide by 1.5

14 pounds of soy nuts should be used in the mixture.

__

<em>Additional comment</em>

There are many ways to solve a system of two linear equations. The attachments shows a matrix solution using a suitable calculator. It tells us that x=6 and y=14, as we found above.

6 0
2 years ago
in a city school of 1,200 students, 40% of the students are on the honor roll, 60% have a part-time job, and 22% are on the hono
Alexus [3.1K]
Let
A = event that the student is on the honor roll
B = event that the student has a part-time job
C = event that the student is on the honor roll and has a part-time job

We are given
P(A) = 0.40
P(B) = 0.60
P(C) = 0.22
note: P(C) = P(A and B)

We want to find out P(A|B) which is "the probability of getting event A given that we know event B is true". This is a conditional probability

P(A|B) = [P(A and B)]/P(B)
P(A|B) = P(C)/P(B)
P(A|B) = 0.22/0.6
P(A|B) = 0.3667 which is approximate

Convert this to a percentage to get roughly 36.67% and this rounds to 37%

Final Answer: 37%

4 0
3 years ago
Which fraction is between – 3/8 and –9/16 on a number line?
prohojiy [21]

Answer:

-7/16 & -8/16 (which is -1/2)

4 0
3 years ago
Can someone please help me with this question pretty pls :(((??????
Charra [1.4K]

let me know if the propositions they gave don't match with mine.

thanks

4 0
3 years ago
Amelia is getting a new rug put in her room that she picked out at Home Depot. Her room is 8.5 feet wide and 12.3 feet long. If
Kipish [7]

Answer:

$355.47 cents.

Step-by-step explanation

since you want to find the square footage of the entire room, hence Home Depot costs $3.40 per square foot, you would clearly need to find the area.  Basically find what 8.5 * 12.3 is and then multiply that number by 3.40. Once that is done, put a dollar sign on the answer and BOOM, you got it. :)

so $355.47 cents.

6 0
3 years ago
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