We have been given that in ΔSTU, the measure of ∠U=90°, ST = 9.7 feet, and US = 4 feet. We are asked to find the measure of ∠T to the nearest degree.
First of all, we will draw a right triangle using our given information.
We can see that US is opposite to angle T and ST is hypotenuse of right triangle.
We know that sine relates opposite side of right triangle to hypotenuse.



Now we will use arcsin to solve for measure of angle T as:


Upon rounding to nearest degree, we will get:

Therefore, the measure of angle T is approximately 24 degrees.
Answer:
<em>1) 6%</em>
<em>2) $1,689.35</em>
Step-by-step explanation:
1) Given the following
Sales tax = $64.80
Price of the computer = $1080
Required
rate of sales tax
Using the expression
x% of 1080 = 64.80
x/100 * 1080 = 64.80
10.80x = 64.80
x = 64.80/10.80
x = 6%
<em>Hence the rate of sales tax is 6%</em>
<em></em>
2) Given the following
Price of the car = $25,990
Tax rate = 6.5%
Sales tax charged = 6.5% of $25,990
Sales tax charged = 6.5/100 * 25,990
Sales tax charged = 6.5 * 259.9
Sales tax charged = $1,689.35
<em>hence the sales tax being charged is $1,689.35</em>
Answer:
45
Step-by-step explanation:
split the shape in three parts, 3*5 + 6*4 + 3*4/2
Answer:
D: All of the above.
Step-by-step explanation:
A. All simple machines are useful in some way, weather that be making it easier to lift heavy objects, activating other machines, or something else.
B. Any simple machine must be, well, simple. i. e. have few moving parts.
Take the lever, for example. It has only one moving part, yet it is still very useful.
C. They can be used to do work. Simple machines can be put together to make something that can do work.
Imagine a windmill that generates power, which then is taken by a motor attached to an Archimedes screw. All of these machines are simple, yet they are still used to do work.
Well you have to find the GCF. The GCF in this problem would be 4. So divide 92 and 100 by 4. 92/4 is 23 and 100/4 is 25. So 92/100 is 23/25 in lowest terms.