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3 years ago

Is 8in, 15in, 17in a right triangle

Mathematics

2 answers:

Phoenix [80]3 years ago

6 0

Answer:Yes

Step-by-step explanation:

a^2 + b^2 = c^2

C is the hypotenuse which is the longest side, b is the second longest and a is the shortest one

ddd [48]3 years ago

4 0

${8}^{2} + {15}^{2} = 64 + 225 = 289 \\ {17}^{2} = 289 \\ \Rightarrow {8}^{2} + {15}^{2} = {17}^{2} \\ \Rightarrow A \: right \: triangle$

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A basketball player made 17 out of 20 free throws at practice. What percent of the free throws did the player make? [Write the n

saw5 [17]

He made 81.5% of the throws at practice

6 0

2 years ago

A random sample of 64 bags of white cheddar popcorn weighed, on average, 5.23 ounces with a standard deviation of 0.24 ounce.

emmasim [6.3K]

Answer:

We conclude that cheddar popcorn weighed less than 5.5 ounces.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ =5.5 ounces

Sample mean, $\bar{x}$ = 5.23 ounces

Sample size, n = 64

Alpha, α = 0.05

Sample standard deviation, σ = 0.24 ounce.

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 5.5\text{ ounces}\\H_A: \mu < 5.5\text{ ounces}$

We use One-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{5.23 - 5.5}{\frac{0.24}{\sqrt{64}} } = -9$

Now, $z_{critical} \text{ at 0.05 level of significance } =-1.645$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that cheddar popcorn weighed less than 5.5 ounces.

3 0

3 years ago

The sales tax rate for the state of Washington was 7%.

sladkih [1.3K]

Answer:

Total cost of the car including tax=$4,066

Step-by-step explanation:

Sales tax rate=7%

Price of the car=$3800

Sales tax=7% of 3800

=7/100×3800

=$266

Total cost of the car=price of the car+ sales tax

=$3800+$266

=$4,066

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3 years ago

One angle of a right triangle measures 80degrees.what is the measure of the other acute angle

Damm [24]

Answer:

10 degrees

Step-by-step explanation:

1.) every triangle has angles that add up to 180 degrees

2.) a right triangle has a right angle and two acute angles

3.) right=90 degrees; acute=<90 degrees

4.) 90+80=170

5.) 180-170=10

3 0

2 years ago

Read 2 more answers

A sum of money is invested at 12% compounded quarterly. About how long will it take for the amount of money to double?

kompoz [17]

Answer:

5.9 years

Step-by-step explanation:

We believe a better representation of the compound interest formula is ...

$V(t)=P(1+\dfrac{r}{n})^{nt}$

We want to find the value of t for P=1 and V(t)=2. We are told n=4, so the formula becomes ...

$2=(1+\dfrac{.12}{4})^{4t}\\\\\log{(2)}=4t\log{(1.03)}\quad\text{take logs}\\\\t=\dfrac{\log{2}}{4\log{1.03}}\approx\boxed{5.9\quad\text{years}}$

8 0

3 years ago