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2 years ago

13

A right triangle has a leg with a length of 18 and a hypotenuse with a length of 31 yards. Find the length of the other leg (nea

rest tenth.) Show all work.

1 answer:

Soloha48 [4]2 years ago

6 0

Answer:

25.2

Step-by-step explanation:

A squared + b squared = c squared

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Which of the following is the conjugate of a complex number with 2 as the real part and −8 as the imaginary part?

vampirchik [111]

The complex number is given as: 2-8i

So for conjugate, you just flip the sign of the imaginary part:

2+8i will be the answer

3 0

2 years ago

Read 2 more answers

The director of the library calculates that 29% of the library's collection is checked out. If the director is right, what is th

marusya05 [52]

Answer:

The probability that the proportion of books checked out in a sample of 412 books would differ from the population proportion by less than 4% is P=0.9255.

Step-by-step explanation:

The population's proportion is $\pi=0.29$

If we take a sample of 412 books (n=412), we have a standard deviation of the sampling distribution of:

$\sigma_M=\sqrt{\frac{\pi(1-\pi)}{n}}=\sqrt{\frac{0.29*0.71}{412}}=\sqrt{0.0005} =0.0224$

We have to calculate the probabilty that the sample proportion will be between 0.25 and 0.33.

$z_1=(0.25-0.29)/0.0224=-0.04/0.0224=-1.7857\\\\z_2=1.7857\\\\\\P(0.25$

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3 years ago

Kendra swims 126 miles in 3 days, what is the constant rate that Kendra swims per day? a. 40 miles per day c. 42 miles per day b

Leni [432]

Answer:

c. 42 miles per day

Step-by-step explanation:

From the information given, you can use a rule of three to calculate the constant rate that Kendra swims per day given that she swims 126 miles in 3 days:

3 days → 126 miles

1 day → x

x=(1*126)/3=42 miles

According to this, the answer is that Kendra swims 42 miles per day.

5 0

2 years ago

-5x-4y=-7 on a graph

Flauer [41]

Answer:

Graph is attached below.

Step-by-step explanation:

If you want to solve for the variable x,

x = −4 / 5y + 7 / 5

3 0

2 years ago

3+-1/1/3 the first half is 3+-1 the second half is 1/3

kolbaska11 [484]

$\bf \cfrac{3\pm1}{\frac{1}{3}}\implies 
\begin{cases}
\cfrac{3+1}{\frac{1}{3}}\\\\
\cfrac{3-1}{\frac{1}{3}}
\end{cases}\\\\
-------------------------------\\\\$

$\bf \cfrac{3+1}{\frac{1}{3}}\implies \cfrac{4}{\frac{1}{3}}\implies \cfrac{\frac{4}{1}}{\frac{1}{3}}\implies \cfrac{4}{1}\cdot \cfrac{3}{1}\implies \cfrac{4\cdot 3}{1\cdot 1}\implies \cfrac{12}{1}\implies \boxed{12}
\\\\\\
\cfrac{3-1}{\frac{1}{3}}\implies \cfrac{2}{\frac{1}{3}}\implies \cfrac{\frac{2}{1}}{\frac{1}{3}}\implies \cfrac{2}{1}\cdot \cfrac{3}{1}\implies \cfrac{2\cdot 3}{1\cdot 1}\implies \cfrac{6}{1}\implies \boxed{6}$

6 0

2 years ago