Answer:
<span>The measure of angle SUT is equal to 90 degrees
</span>
Explanation:
The Pythagorean theorem states that:
"In any right-angled triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides"
In other words:
(hypotenuse)² = (first side)² + (second side)²
Now, for the given, we have:
u² = s² + t²
This means that the given triangle UST is a right-angled triangle and that side "u" is its hypotenuse.
According to the given, the angle opposite to side "u" is angle U. This means that angle U is the right-angle in this triangle.
Based on the above:
angle U = 90°
angle S + angle T = 180 - 90 = 90°
Now, comparing our deductions to the given choices, we can conclude that the correct choice is:
The measure of angle SUT is equal to 90 degrees
Hope this helps :)
Hello.
Here's our explanation: First, you had to multiply line them up. 
, then 3*3=9. Bring down the zero, then multiply 2*2=4. And 3*2=6, which gives us equal to 640. Finally, add it up, 96+640=736. 736 is the final answer.
Hope this helps!
Thanks!
Have a great day!
Answer:
Step-by-step explanation:
Since the pile of sand is conical, we would apply the formula for determining the volume of a cone which is expressed as
Volume = 1/3 × πr²h
Where
r represents the radius of the cone.
h represents the vertical height of the cone.
π is a constant whose value is 3.14
From the information given,
Diameter = 18 feet
Radius = Diameter/2 = 18/2
Radius = 9 feet
Height = 10 feet
Therefore,
Volume = 1/3 × 3.14 × 9² × 10
Volume = 1/3 × 3.14 × 81 × 10
Volume = 847.8 ft³
Answer:
134.6
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula. This is X when Z has a p-value of 1-0.01 = 0.99. So it is X when Z = 2.325.
The level is L = 134.6
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation, large sample size can be approximated to a normal distribution with a mean and standard deviation
Answer:750 grams
Step-by-step explanation:
25*30=250 grams after 30 days
