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prisoha [69]
3 years ago
9

Find the missing Length of the picture above and round to the nearest tenth

Mathematics
1 answer:
sweet [91]3 years ago
5 0

Using the Pythagorean Theorem:


Missing side = √4^2 +8^2

Missing side = √16+64

Missing side = √80 = 8.9 (rounded to the nearest tenth)


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A group of 140 tourists are going on a tour. The tour guide rents 15 vans. Each van holds 9 tourist
viktelen [127]
I'll assume the question is whether the tourists will all fit.
15 vans × 9 tourists each van = 135 tourists can fit so he needs another van or 5 of them have to hold on to the roof of the car
3 0
3 years ago
Question 3 of 6 (1 point)
Hatshy [7]

Answer:

Null hypothesis: H₀: ∪ = ≤ 393 pounds

Alternative hpothesis Hₐ: ∪ > 393 pounds

Step-by-step explanation:

The null hypothesis in this case is

Null hypothesis: H₀: ∪ = ≤ 393 pounds

Agriculture Scientists wish to test against this claim believing that the new fertilizer may increase the yield, thus the alternative hypothesis will be

Alternative hpothesis Hₐ: ∪ > 393 pounds.

4 0
3 years ago
A researcher plans to identify each participant in a certain medical experiment with a code consisting of either a single letter
Digiron [165]

Answer:

at least 5

Step-by-step explanation:

<u><em>If the question was similar to the one given below </em></u>

A researcher plans to identify each participant in a certain medical experiment with a code consisting of either a single letter or a pair of distinct letters written in alphabetical order. What is the least number of letters that can be used if there are 12 participants, and each participant is to receive a different code?

<em><u>The answer would be as follows</u></em>

If we use 3 letters or any distinct letter as a comma such that 2 are in alphabetical order then we would get

4C2= 6 ways to use these letters and the comma

If we use 4 letters or any distinct letter as a comma such that 2 are in alphabetical order then we would get

5C2= 10 ways to use these letters and the comma

If we use 5 letters or any distinct letter as a comma such that 2 are in alphabetical order then we would get

6C2= 15 ways to use these letters and the comma

We need the least number of the alphabets to assign codes to 12 participants.

So the least number of alphabets is 5 because it can give codes to at least to  12 people .

Pair of alphabets + distinct letter ≥ 12

5 + 1  ≥ 12

6c2  ≥ 12

15  ≥ 12

3 0
2 years ago
I need help proving this ASAP
Ket [755]

Answer:

See explanation

Step-by-step explanation:

We want to show that:

\tan(x +  \frac{3\pi}{2} )  =  -   \cot \: x

One way is to use the basic double angle formula:

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  \frac{ \sin(x)  \cos( \frac{3\pi}{2} )  +   \cos(x)  \sin( \frac{3\pi}{2}) }{\cos(x)  \cos( \frac{3\pi}{2} )   -    \sin(x)  \sin( \frac{3\pi}{2}) }

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  \frac{ \sin(x) ( 0)  +   \cos(x) (  - 1) }{\cos(x) (0)   -    \sin(x) (  - 1) }

We simplify further to get:

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  \frac{ 0  -   \cos(x) }{0 +    \sin(x) }

We simplify again to get;

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  \frac{- \cos(x) }{ \sin(x) }

This finally gives:

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  -  \cot(x)

6 0
3 years ago
Graph a line with a slope of 4 that contains the point (3,0).
Korvikt [17]

Answer:

just graph the line: y=4x-12

Step-by-step explanation:

4 0
3 years ago
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