Answer:
35.1 and 276.48
Step-by-step explanation:
<span>150 degrees.
Let's assume the center camera is pointed to at an angle of 0 degrees. Since it has a coverage of 60 degrees, then it will cover the angles from -30 to +30 degrees. Now we'll continue to use the +/- 30 degree coverage for the other two cameras. The second camera is aimed at 45 degrees, so it's range of coverage is 15 degrees to 75 degrees (45 +/- 30). Notice that the range from 15 degrees to 30 degrees is covered by 2 cameras. Now the 3rd camera is pointed at -45 degrees, so its coverage is from -15 degrees to -75 degrees. It also has an overlap with the 1st camera from -15 to -30 degrees.
The total coverage of all three cameras ranges from -75 degrees to 75 degrees. That means that an arc of 150 degrees in total is covered by all three cameras.</span>
Answer:
27 balls
Step-by-step explanation:
If Dianna and Becky stopped 9 out of 10 shots made against them.
It means they allowed in 1 out of 10 shots made against them.
This is best solved using ratios
Proportion of Shots Stopped : Proportion of Shots allowed=9:1
If the other team scores 3 points, it means the number of shots allowed =3
Let x be the number of shots stopped
Number of Shots Stopped : Number of Shots allowed=x:3
Therefore:
9:1=x:3
Cross multiplying
x=9 X 3 =27
Dianna and Becky stopped 27 balls from going into the net,
Answer:
<h2>x + 2y = 8</h2>
Step-by-step explanation:
The standard form of an equation of a line:
We have:
Convert:
<em>multiply both sides by 2</em>
<em>add x to both sides</em>
Answer:
(12-7x)
Step-by-step explanation:
144 − 49x²
by observation, we can see that 144 = 12² and 49 = 7²
hence we can rewrite the equation
144 − 49x²
= 12² - 7²x²
= 12² - (7x)²
recall that the expression x² - y² = (x+y)(x-y)
hence,
12² - (7x)²
= (12 + 7x)(12-7x)
(12-7x) appears in the expression above, hence 12 -7x is a factor
