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2 years ago

Do the side lengths 9,12,15 classify as a right,acute,obtuse triangle, or “no possible triangle”

1 answer:

6 0

Refer to c^2=a^2+b^2 (^2 means squared)
C is the hypotenuse and will be the longest measure
So 15^2= 9^2+12^2
225=225
If both sides are equal then the triangle is a right triangle, if the hypotenuse (or c) is lower or higher than you can determine whether it’s obtuse or acute
It would be a right triangle

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The prism below is packed with no gaps between the cube that measure 1/4 ft. What is the volume, in cubic feet of the right rect

Yuki888 [10]

Answer: 1/2

First you do 4/4 times 4/4. Which is equal to 1. Then, you multiply by 2/4 to get 1/2.

5 0

3 years ago

50 cases in 44 minutes equals how many cases in 60 minutes

Blizzard [7]

To solve this, set up a proportion, crossmultiply, and solve for x.

Let x = the unknown amount of cases in 60 minutes.

$\frac{50}{44} = \frac{x}{60}$
44x = 50(60)
44x = 3000

Divide both sides by 44 to isolate variable x
x = 3000 / 44
x ≈ 68.1818 (the 18s repeat forever)

Rounding to the closest case and assuming the rate stays constant, you would get approximately 68 cases in 60 minutes. If you need not round to the nearest case, you would get approximately 68.18 cases in 60 minutes.

4 0

3 years ago

Solve the equation for x 1/3x - 15 = 12

Akimi4 [234]

X = 81
You are welcome

6 0

3 years ago

Read 2 more answers

City health officials will conduct a two-sample t-test for a difference in means to investigate whether

Anvisha [2.4K]

Answer:

The calculated value t = 2.366 > 2.0301 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means

Step-by-step explanation:

Step(i):-

Given that the first sample size 'n₁' = 22

Given that the mean of the first sample x₁⁻ = 120

Given that the standard deviation of the sample (s₁) = 20

Given that the mean of the second sample x₂⁻ = 100

Given that the standard deviation of the second sample (S₂) = 30

Step(ii):-

T-test statistic

$t = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

where

$S^{2} = \frac{n_{1} S_{1} ^{2}+n_{2} S_{2} ^{2} }{n_{1} +n_{2}-2 }$

$S^{2} = \frac{22( 20)^{2}+ 15(30) ^{2} }{22 +15-2 }$

S² = 637.1428

S = √637.1428 = 25.24168

The standard deviation of the sample 'S' = 25.24168

Step(iii):-

Null Hypothesis:H₀:

There is no difference between the means

Alternative Hypothesis:H₁:

There is a difference between the means

T-test statistic

$t = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

$t = \frac{ 120 -100 }{\sqrt{637.14 (\frac{1}{22 }+\frac{1}{15 } ) } }$

t = 2.366

Degrees of freedom

γ = n₁+n₂ -2 = 22+15-2 = 35

t₀.₀₅ = 2.0301

The calculated value t = 2.366 > 2.0301 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means

3 0

3 years ago

Read 2 more answers

Original price: $23.37 with tax : $24.91 what is the sales tax percentage

Marina86 [1]

Answer:

6.6% = tax rate

Step-by-step explanation:

The first step is to find out how much was paid in tax

24.91 - 23.37 =1.54

The tax is 1.54

The tax is the original price * tax rate

1.54 = 23.37 * tax rate

Divide each side by 23.37

1.54/23.37 = tax rate

.065896448= tax rate

Changing to percent form

6.6% = tax rate

8 0

4 years ago