Answer:
Height = 1 inch
Step-by-step explanation:
area of triangle = 1/2 x base x height
11.5 =1/2 x 23 x height
23/23 = height
height = 1
% is a number over 100, so 40% is 40/100, which is 0.40.
Answer:
A = 38°
Step-by-step explanation:
We are going to use cosine law to find angle A where
a = 4.7
b = 3.9 m
c = 2.9 m
or
cos A = [(4.7)^2 + (3.9)^2 - (2.9)^2]/2(4.7)(3.9)
= 28.89/36.66
= 0.788
A = arccos(0.788) = 38°
An angle bisector is a line or ray that divides an angle into two congruent angles
so
in this problem
m∠RST=m∠RSV+m∠VST
m∠RSV=m∠VST
hence
m∠RST=2*m∠RSV --------> equation 1
we have
m∠RST=(6x-24)
m∠RSV=(2x+8)
Substitute in the equation 1
6x-24=2*(2x+8)
6x-24=4x+16
6x-4x=16+24
2x=40
x=40/2
x=20 degrees
therefore
the value of x is 20 degrees
Tell me if I’m wrong
Answer:
79.95
Step-by-step explanation:
The first step is to rewrite the percentages into decimals so they can be added or subtracted easier. To turn a percentage into a decimal, remove the percent sign and move the decimal two spaces to the left (in other words, divide the number by 100).
12% becomes -0.12
8% becomes 0.08
Now, let's solve.
79.99 - 0.12 + 0.08
Evaluating 79.99 - 0.12, the equation becomes 79.87 + 0.08.
Evaluating 79.87 + 0.08, we get the final answer, 79.95.
