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4 years ago

What is the length of a in this triangle? 2 12 35.5 8

Mathematics

1 answer:

sergey [27]4 years ago

7 0

Put it into the Pythagorean theorem.

a^2+35^2= 37^2

Square all the numbers.

a^2+1,225= 1,369

Subtract 1225 from both sides.

a^2= 144

FInd the square root of 144.

a= 12

The side a is equal to 12.

I hope this helps!
~kaikers

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Help asap. Like hurry

skelet666 [1.2K]

Answer:

53.85

Step-by-step explanation:

7 0

3 years ago

Find the gradients for line A and B. See pic attached

pogonyaev

Gradient is the difference between the y-axis and the x-axis
Gradient = y2-y1/x2-x1
Choose any two point making a triangle
Line B (0,8) (4,0)
This makes a triangle please go look at the graph once again! The the triangle should not have half squares but full!
Line A (5,14)(2,2)
Now plug in the variable
The difference between the Y and X
Line B 0-8/4-0
Line B gradient =-2
Line A 2-14/2-5
Line A gradient = +4

Finalized answer
Line B gradient = -2
Line A gradient = +4

8 0

3 years ago

How to solve for x and y

Minchanka [31]

Answer-

The values of x and y are 20° and 30, respectively.

Solution-

As in the given triangle all the angles are same so it must a equilateral triangle.

In an equilateral triangle all the measurements of the angles and side length are same. The measurement of the angels are 60°.

As given in the question one side length is 46, so all the side length are same.

So,

$\Rightarrow y+16=46\\\\\Rightarrow y=46-16\\\\\Rightarrow y=30$

We know that an exterior angle of a triangle is equal to the sum of the opposite interior angles. 80° is the exterior angle opposite to x and one angle of triangle at the top vertex.

$\Rightarrow 80^{\circ}=x+60^{\circ}$

$\Rightarrow x=80^{\circ}-60^{\circ}$

$\Rightarrow x=20^{\circ}$

Therefore, the values of x and y are 20° and 30, respectively.

4 0

3 years ago

How many ways can 5 people be arranged in a line?

Rasek [7]

Answer: 120 ways

Step-by-step explanation: In this problem, we're asked how many ways can 5 people be arranged in a line.

Let's start by drawing 5 blanks to represent the 5 different positions in the line.

Now, we know that 5 different people can fill the spot in the first position. However, once the first position is filled, only 4 people can fill the second spot and once the second spot is filled, only 3 people can fill the third spot and so on. So we have 5 4 3 2 1.

Now, based on the counting principle, there are 5 x 4 x 3 x 2 x 1 ways for all 5 spots to be filled.

5 x 4 is 20, 20 x 3 is 60, 60 x 2 is 120, and 120 x 1 is 120.

So there are 120 ways for all 5 spots to be filled which means that there are 120 ways that 5 people can be arranged in a line.

I have also shown my work on the whiteboard in the image attached.

7 0

4 years ago

The volume of a 36 in 3 . Find the height of the cylinder (in inches) if radius is 3 in.

IceJOKER [234]

Answer:

h=1.27 in.

Step-by-step explanation:

V=πr^2h

Plugin the values and solve

36=π(3)^2h

36/9π=h

h=1.27323954

3 0

3 years ago