Answer:
58.1 degrees
Step-by-step explanation:
Given the following
JK = 9.4miles (towards south) negative y axis
If the move 15.1 miles towards east (that will be towards the positive x axis)
Using the SOH CAH TOA identity
opposite= 15.1 miles(side facing m<J)
adjacent= JK = 9.4miles
tan theta = opposite/adjacent
tan m<J = 15.1/9.4
tan m<J = 1.6063
m<J = arctan (1.6063)
m<J = 58.09 degrees
Hence the measure of m<J to the nearest tenth is 58.1 degrees
Answer:
So the final answer is

Step-by-step explanation:
Radicals:
In mathematics, a radical expression is defined as any expression containing a radical (√) symbol. Many people mistakenly call this a 'square root' symbol, and many times it is used to determine the square root of a number. However, it can also be used to describe a cube root, a fourth root, or higher.
The given expression is

Now take common radical out so we will get

Now add the Parenthesis part.

So the final answer is

Answer:
Surface area of the given figure = 48 cm^2
Step-by-step explanation:
Surface area is nothing area of all the sides.
We can find the area of each figure add them together.
There are two triangles with the same measures.
One rectangle with measure of 4 by 3.
Another rectangle with the measure of 5 by 3.
One square with the measure of 3.
Surface area = Area of two triangles + rectangle 1 + rectangle 2 + square
Formulas:
Area of the triangle = 1/2 base* height
Area of the rectangle = length * width
Area of the square = side x side
Applying the formula, we get
=2[1/2 (3*4)] + 4*3 + 5*3 + 3^2
= 12 + 12 + 15 + 9
Surface area of the given figure = 48 cm^2
Hope this will helpful.
Thank you.
Answer:
x=3
Step-by-step explanation:
3x+1=10
3x-1=-1
3x=9
÷3=÷3
x=3