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3 years ago

14

Determine if a triangle with the given dimensions is a right triangle. If it is, which angle is the right angle?

1 answer:

Arte-miy333 [17]2 years ago

6 0

To determine if the triangle is a right triangle, we use the Pythagorean theorem to test or see if the data agrees. We do as follows:

c² = a² + b²
10² = (5√3)² + 5²
100 = 75 + 25
100 = 100

Therefore, the triangle with the given measurements is a right triangle. The angle that would have a right angle is angle BAC. Hope this answers the question. Have a nice day. Feel free to ask more questions.

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Eli and Samantha work at a dry cleaners ironing shirts. Eli can iron 20 shirts per hour, and Samantha can iron 35 shirts per hou

Tomtit [17]

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> the number of hours Eli worked

y ----> the number of hours Samantha worked

we know that

Eli and they ironed 400 shirts between them

so

$20x+35y=400$ -----> equation A

Samantha worked 2 more hours than Eli

so

$y=x+2$ ----> equation B

solve the system by substitution

substitute equation B in equation A

$20x+35(x+2)=400$

solve for x

$20x+35x+70=400\\55x=330\\x=6$

Find the value of y

substitute the value of x in equation B

$y=6+2=8$

therefore

The number of hours Eli worked was 6 and the number of hours Samantha worked was 8

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3 years ago

How can you use simple equations to solve real-life problems?

Sergeeva-Olga [200]

Say you want to figure up how much 2 pizzas would cost if they’re 15 dollars apiece, 15•2

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3 years ago

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I bought a car for $25,000, but its value is depreciating at a rate of 10% per year. How much will my car be worth after 8 years

Ksju [112]

Answer:

5000

Step-by-step explanation:

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2 years ago

The z-score associated with 95% is 1.96. If the sample mean is 200 and the standard deviation is 30, find the upper limit of the

ziro4ka [17]

Answer:

The upper limit of the 95% confidence interval is:

C.I_u = 200 + (58.8/ $\sqrt{n}$ )

Step-by-step explanation:

The formula is given as:

C.I = μ ± Z*σ/ $\sqrt{n}$

The upper limit => C.I_u = μ + Z*σ/ $\sqrt{n}$

The lower limit => C.I_l = μ - Z*σ/ $\sqrt{n}$

The sample size (n) is not stated in the question. Hence, we calculate the upper limit with respect to n.

The upper limit => C.I_u = 200 + 1.96*(30/ $\sqrt{n}$ )

= 200 + (1.96*30)/ $\sqrt{n}$

= 200 + 58.8/ $\sqrt{n}$

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2 years ago

Write an expression for the verbal phrase:<br> the difference between k and half of b is 47

Helga [31]

k-1/2b=47 because the difference is subtraction and half b is a half fraction and it equals 47.

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3 years ago