Answer:
y = -5/3 x + 40
Step-by-step explanation:
The general form is y = ax + b, where a is the slope and b is the y intercept.
So immediately you can see that b must be 40, since the line crosses the y axis at 40.
The slope can be calculated by finding two "nice" points on the line that are also grid lines.
How about (0,40) and (6, 30).
Then, calculate the slope by dividing the y difference by the x difference:
(30-40)/(6-0) = -10/6 = -5/3
So C must be the answer.
Given that, a sphere has a surface area of about 999 square millimeters.
Formula to find the surface area of sphere is,
S= 4πr² Where r = radius of the sphere and S= surface area.
Given S= 999 square millimeters.
So, we can write:
4πr² = 999
4 * 3.14 * r² = 999 Since, π = 3.14
12.56 *r² = 999
Divide each sides by 12.56.
r² = 79.53821656
r = √79.53821656 Taking square root to each sides of equation.
r = 8.918420071
So, r = 8.918 Rounded to nearest thousandth.
So, radius of the sphere is 8.918 millimeters.
Hope this helps you!
Answer:
No
Step-by-step explanation:
When you plug in the numbers, you get:
9>6+3
9 is equal to 9, not greater than.
<h3>
Answers</h3>
- SSS congruence theorem
- SAS congruence theorem
- ASA congruence theorem
- AAS congruence theorem
- HL congruence theorem
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Explanation:
- SSS stands for "Side side side" indicating there are 3 pairs of sides that are same length. Visually we use tickmarks to show how the sides pair up. Eg: sides that have 1 tickmark only are the same length. If we know that all 3 pairs of sides are congruent, then we have enough info to conclude the triangles are congruent.
- SAS means "side angle side". The angle is between the two sides. The sides in question are the ones with tickmarks to indicate how they pair up.
- We have two angles and a side between them. So we use ASA this time. It stands for "Angle side angle". This is slightly different from AAS.
- We'll use AAS here. The side is not between the two angles. So this is why AAS is different from ASA. Some books may call "AAS" as "SAA", but they're the same thing.
- HL stands for hypotenuse leg. This only applies to right triangles (since the hypotenuse is a special term for the longest side of a right triangle). The hypotenuse is always opposite the 90 degree angle. This is the only time when SSA will work. Otherwise, SSA is ambiguous and it is not a valid congruence theorem.
