The <u>correct answer</u> is:
20 feet.
Explanation:
48 ft would be the measurement of the base of the right triangle formed by the flagpole and the ground. We are trying to find the height of the flagpole, which is the other leg of this right triangle.
The measurements we have for the second triangle are 5 and 12. Since she is 12 feet away from the mirror, the base of the triangle is 12. Her eye level is at 5 feet, so this is the height of the triangle.
Since we know these triangles are similar, we can use proportions to solve this. 48 is to 12 (base is to base) as the unknown height is to 5 (height is to height):
48/12 = x/5
Cross multiply:
48*5 = 12*x
240 = 12x
Divide both sides by 12:
240/12 = 12x/12
20 = x
The unknown height is 20 feet.
Answer: 420
<u>Step-by-step explanation:</u>
7 appetizers and 10 entrees and 6 desserts
7 x 10 x 6 = 420
It is given in the question that, PA is a radius and AB is the tangent segment .
And in a circle, radius and tangent are always perpendicular, it means they form 90 degree with each other . Or angle PAB is a right angle .
And we cant say anything about the length s of PA and AB, neither of PA and PB.
So out of the four options, correct option is the third option .
the complete question is
While driving in an exotic foreign land you see a speed limit sign on a highway that reads 180,000 furlongs per fortnight. How many miles per hour is this? (One furlong is 1/8 mile, and a fortnight is 14 days. A furlong originally referred to the length of a plowed furrow.)
Step 1
<u>convert (furlongs per fortnight) to (miles per fortnight)</u>
180,000 furlongs per fortnight=180,000*(1/8)=22,500 miles per fortnight
Step 2
<u>convert miles per fortnight to miles per hour</u>
1 day=24 hour
14 day=24*14=336 hours
22,500 miles per fortnight=22,500/336=66.96 mph
therefore
<u>the answer is</u>
66.96 mph
Answer:
Step-by-step explanation:
Type I error occurs when the null hypothesis is rejected even when it is true.
Type II error occurs when the null hypothesis is not rejected even when it is false.
The null hypothesis is
The mean annual consumption = the national mean
The alternative hypothesis is
The mean annual consumption < the national mean
1) it is a type II error because the null hypothesis was not rejected even when it is false
2) it is a correct decision because the decision corresponds to the outcome
3) it is also a type II error
d) it is a correct decision because the null hypothesis is accepted when it is true
