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4 years ago

I’m the 30-60-90 triangle below side S has a length of _ and the hypotenuse has a length of .

Mathematics

2 answers:

scZoUnD [109]4 years ago

4 0

Check the picture below.

kobusy [5.1K]4 years ago

4 0

Answer:

Step-by-step explanation:

Given is a right triangle with one leg opposite 30 degrees equal to 1.

Hypotenuse is given as h

Using sin 30 we can find h

Sin 30 = opposite side/hypotenuse

= $\frac{1}{2} =\frac{1}{h}$

Solving

$h=2$

Side S is the angle opposite 60 degrees

We can find S with sin 60

$sin 60=\frac{S}{2} =\frac{\sqrt{3}}{2} \\S=\sqrt{3}$

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Lucy cuts 4 squares with side length x in. from the corners of a 6 in. by 9 in. cardboard rectangle. She folds the remaining car

Cloud [144]

Answer:

Lucy cuts 4 squares with side length x in. from the corners of a 6 in. by 9 in. cardboard rectangle. She folds the remaining cardboard to make a tray that is x in. high. Write and simplify a polynomial function for the volume V

Step-by-step explanation:

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3 years ago

5. help me i’ll give brainliest if you’re right

-Dominant- [34]

Answer:

can i have my brainliest i helped u on the other questions pls dude

Step-by-step explanation:

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3 years ago

given sin A =3/-/34 and that angle S is in quadrant 1, find the exact value of tan A in simplest radical form using a ration

Vedmedyk [2.9K]

Answer:

$\tan(A) = \frac{3}{5}$

Step-by-step explanation:

Given

$\sin(A) = \frac{3}{\sqrt {34}}$

$0 \le A \le 90$ --- First Quadrant

Required

Find tan(A)

The sin of an angle is:

$\tan(A) = \frac{Opposite}{Hypotenuse}$

and

$\sin(A) = \frac{3}{\sqrt {34}}$

By comparison:

$Opposite = 3$

$Hypotenuse = \sqrt{34$

So, the Adjacent is:

$Hypotenuse^2 = Adjacent^2 + Opposite^2$

$(\sqrt{34})^2 = Adjacent^2 + 3^2$

$34 = Adjacent^2 + 9$

Collect like terms

$Adjacent^2 =34 - 9$

$Adjacent^2 =25$

Take square roots

$Adjacent =\sqrt{25$

$Adjacent =5$

The tangent of an angle is:

$\tan(A) = \frac{Opposite}{Adjacent}$

This gives:

$\tan(A) = \frac{3}{5}$

8 0

3 years ago

A conductor needs 5 cellists and 5 violinists to play at a diplomatic event. to do this, he ranks the orchestra's 10 cellists an

DaniilM [7]

Ranking is very critical in this problem. Therefore, the most applicable mathematical theory is permutations.

Ranking possible for the cellists:
Needed cellists = 5
Total available cellists = 10
Possible number of rankings = 10P5 = 10!/(10-5)! = 30240

Ranking possible for the violinists:
Needed violinists = 5
Total available = 16
Possible number of rankings = 16P5 = 16!/(16-5)! = 524160

Therefore,
Ratio of rankings (cellists to violinists) = 30240/524160 = 3/52

3 0

4 years ago

PLEEEAAAAAASE HELP! What is the answer to this question?

IrinaVladis [17]

Answer:

23 units

Step-by-step explanation:

Perimeter is the sum of side lengths

Let's find the sides first

AB = √(-2- 2)² + (-4+1)² = 5
BC = (2 - (-1)) = 3
CD = √(-1- 2)²+(5-2)² = √18 = 3√2 = 4.24
DE = √(-4 -(-1))²+(2-5)²= √18 = 3√2 = 4.24
AE = √(-4-(-2)²+(2-(-4))²=√40= 2√10 = 6.32

Perimeter is

P = 5 + 3 + 4.24 + 4.24 + 6.32 = 22.8 ≈ 23 rounded to the nearest whole number

7 0

3 years ago

I’m the 30-60-90 triangle below side S has a length of ___ and the hypotenuse has a length of __.

I’m the 30-60-90 triangle below side S has a length of _ and the hypotenuse has a length of .