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3 years ago

A triangle has one leg that measures 14 feet and the hypotenuse is 50 feet. What is the length of the other leg?

1 answer:

8 0

Ok so we are using the Pythagorean theorem so were gonna do A^2 + B^2 = C^2

It don't say which leg we have so you can use either a or b.
Which would get us 14^2 + B^2 = 50^2
14*14 =196 , 50 *50 =2500
Then we have to subtract the two.
So 2500 - 196 = 2,304
Then you take the take the square root of that answer and you have your other leg.
The square root of 2,304 is 48
So the missing leg = 48

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The price of 10 citrons and 7 fragrant wood apples is 55 units. The price of 7 citrons and 10 fragrant wood apples is 64 units.

a_sh-v [17]

Price of one citron = 5 units

Price of one fragrant = 5/7 units = 0.71 units

Further explanation:

Let x be the price of one citron and

y be the price of one fragrant

Then according to given statement

10x+7y = 55 Eqn 1

7x+10y = 64 Eqn 2

Multiplying equation 1 by 7

$7(10x+7y) = 7(55)\\70x+49y=385$

This will be equation 3.

Multiplying equation 2 by 10

$10(7x+10y) = 10(64)\\70x+100y=640$

This will be equation 4.

Subtracting equation 3 from equation 4

$70x+100y - (70x+49y) = 640-385\\70x+100y-70y-49y = 255\\51y = 255\\\frac{51x}{51} = \frac{255}{51}\\x = 5\\Putting\ x=5\ in\ equation\ 1\\10(5)+7y = 55\\50+7y = 55\\7y = 55-50\\7y = 5\\\frac{7y}{7} =\frac{5}{7}$

So,

Price of one citron = 5 units

Price of one fragrant = 5/7 units = 0.71 units

Keywords: Linear Equations, Solving system of linear equations

Learn more about linear equations at:

#LearnwithBrainly

5 0

2 years ago

Use order of operation

Inessa [10]

(6+23)=29
(32-25)=7
(29)x(7)+(7x7)
203+49= 252
the answer is 252

6 0

3 years ago

Write L if it is likely to happen and U if unlikely to happen.

maria [59]

Answer:

Probabilities

Likely to happen (L) Unlikely to happen (U)

a. 4/5 5/8

b. 3/5 3/8

c. 4/5 4/7

d. 0.3 0.09

e. 5/6 and 4/5 2/3

Step-by-step explanation:

Probabilities in Percentages:

a. The probability of 4/5 = 80% and 5/8 = 62.5%

b. The probability of 3/8 = 37.5% and 3/5 = 60%

c. The probability of 4/5 = 80% and 4/7 = 57%

d. The probability of 0.3 = 30% and 0.09 = 9%

e. The probability of 2/3 = 67% and 4/5 = 80% and 5/6 = 83%

b) To determine the relative values of the fractional probabilities, it is best to reduce them to their fractional or percentage terms. When this is done, the relative sizes become obvious, and then, comparisons can be made.

3 0

2 years ago

Robin donated bags of grain that each weighed 403 pounds to the local food shelf. If the total weight of the grain was 160 pound

Alexxx [7]

Well.. 160 x 3 = 480. So he would've had to give only 2 bags. But he would've given a fraction of a bag, but if you're only talking whole numbers, then the answer is 2. If you're talking fractions, then the answer is 2.51875.

7 0

2 years ago

Read 2 more answers

Simplify the expression. <br><br> [90 – (12 + 13)](15 ÷ 3)

slega [8]

$[90-(12+13)](15:3)= \\\\=(90-25)*5=\\\\= 65*5=\\\\=\boxed{325}$

6 0

2 years ago

Read 2 more answers