Answer:
C
Step-by-step explanation:
Calculate AC using Pythagoras' identity in ΔABC
AC² = 20² - 12² = 400 - 144 = 256, hence
AC = = 16
Now find AD² from ΔACD and ΔABD
ΔACD → AD² = 16² - (20 - x)² = 256 - 400 + 40x - x²
ΔABD → AD² = 12² - x² = 144 - x²
Equate both equations for AD², hence
256 - 400 + 40x - x² = 144 - x²
-144 + 40x - x² = 144 - x² ( add x² to both sides )
- 144 + 40x = 144 ( add 144 to both sides )
40x = 288 ( divide both sides by 40 )
x = 7.2 → C
Answer:
315
Step-by-step explanation:
We are told in the question that each fret marker is in the shape of a parallelogram
The area of a parallelogram is given as
Base × Height.
Each of the bottoms of the fret markers has the following values
Base = 52.5mm
Height =6 mm
The area of each of the bottom fret markers
= Base × Height
= 52.5 × 6
= 315
Therefore, the area of each of the bottom fret markers without unit is 315
If the ball hit the ground it means that its height is equal to 0. In order to find the time after the ball <span>will hit the ground, we need to find the solution of the equation h(x)=0 which is different to 0.
-4.9x^2+21.3x=0
x(-4.9x+21.3)=0
-4.9x+21.3=0
x=21.3/4.9 = 4.3469 seconds</span>
Answer:
2 1/12 lbs
Step-by-step explanation:
Add the canned and the dry together
3/4 + 1 1/3
Get a common denominator of 12
3/4 *3/3 + 1 1/3 *4/4
9/12 + 1 4/12
1 13/12
1 + 12/12 + 1/12
2 1/12 lbs
Answer:
0.1552
Step-by-step explanation:
Hi!
Give a random person, lets call:
D = the person has the disease
¬D = the person doesnt have the disease
T = the test on this person is positive (detects the disease)
¬T = the test on this person is negative
We are give the conditional probabilities:
P(T | D) = 0.9
P(¬T | ¬D) = 0.9
P(D) = 0.02
From those we know that:
P(T | ¬D) = 0.1
P(¬T | D) = 0.1
We must find P(D | T). For that we use Bayes theorem: