Answer: Its light-collecting area would be 25 times greater than that of the 10-meter keck telescope.
Step-by-step explanation:
1. To solve this problem you must apply the formula for calculate the area of a circle, which is shown below:
Where<em> r</em> is the radius of the circle.
2. The diameter of a circle is:
Where <em>r</em> is the radius of the circle.
3. Therefore, keeping this on mind, you have that the light-collecting area of a 50-meter keck telescope is:
4. And the light-collecting area of a 10-meter keck telescope is:
5. Divide 
by 
, then:
6. Therefore, its light-collecting area would be 25 times greater than that of the 10-meter keck telescope.
Answer: x² - x - 12
Step-by-step explanation: When multiplying two binomials together, we can use the F.O.I.L. method.
<em>First, Outer, Inner, Last</em>.
We take the product of the first terms which is x² plus the product of the outer terms which is -4x plus the product of the inner terms which is 3x plus the product of the last terms which is -12.
So we have x² - 4x + 3x - 12.
Simplifying from here by combing the middle terms, we have x² - x - 12.
Pay very close attention to your positives and negatives as you F.O.I.L. because this is the area where most mistakes occur.
Answer:
height = 23 ft , Width=43ft
Step-by-step explanation:
Step one:
Given data
Given data
Diagonal = 66ft
Aspect ratio= 19:10
From the formulas below, we can find the dimensions of the theater screen
height = diagonal / √ (AR²+1)
where AR is the aspect ratio
Step two:
height = 66 / √ ((19/10)² + 1) =
height = 66 / 2.9
height = 23 ft
Step three:
Also,
width = AR * height
width = (19/10) * 22.75
width =1.9* 22.75
Width=43ft
26 fl oz ÷ 8 (8 fl oz in a cup) this gives us 26/8 and when we simplify this fraction we get 3 1/4 cups of spaghetti sauce
