We are tasked to solve for the lateral area of a right circular cone given that the base diameter measurement is 4 meters and the slant height measurement is 15 meters. To solve this problem, we need to use the formula below:
Lateral Area = pi*r (√h²+r²)
where r is half of the diameter measurement such as:
radius = r = diameter / 2
r = 4/2
r = 2 meters
Solving for the lateral area, we have it:
Lateral Area = 3.14*2 (√15²+2²)
Lateral Area = 94 m²
The answer is the letter "C".
<h3>Answers:</h3>
- Reason 1: <u>Given</u>
- Reason 3: <u>Similar because of SAS</u>
==============================================
Explanation:
At the top of the proof, your teacher states "Given" followed by the relevant useful info. We simply repeat that info word for word as statement 1. This is how all proofs start out. We start with what we're given and try to build toward what we want to prove.
So this is why <u>reason 1 is "given"</u>. Reason 2 is "given" also. When your teacher gives multiple statements like this, it's handy to break them up into the smallest pieces possible.
--------------------
<u>For reason 3, we use the SAS Similarity</u> rule here because we have congruent angles LPN and LNM (both 90 degrees each) and the sides are proportional due to the statement 
Notice how statement 3 builds entirely off from what statements 1 and 2 set up.
Answer: 357 cm²
Step-by-step explanation: In this problem, were asked to find the area of the trapezoid shown. Remember that a trapezoid is a quadrilateral with one pair of parallel sides. The formula for the area of a trapezoid is shown below
The b's are the bases or the parallel sides and the h represents the height.
So in the trapezoid shown, the bases are 15 cm and 27 cm and the height is 17 cm.
Plugging this information into the formula, we have .
Next, the order of operations tells us that we must simplify inside the parentheses first. 15 cm + 27 cm is 42 cm and we have
1/2 × 42 cm is 21 cm and we have (21 cm)(17 cm) which is 357 cm².
So the area of the trapezoid shown is 357 cm².
Answer:
y=-25x+225
Step-by-step explanation:
The slope is -25 and I think the y-intercept is 225.
Hope this helps.
Answer:
1.5 cm/s
Step-by-step explanation:
The unit rate is the same as the slope.
To find the slope, we use the slope formula:
Using our points, we have
m = (9-0)/(6-0) = 9/6 = 3/2 = 1.5 cm/s
