The answer is 12.92 in, 12 in, and 11.2 in
The area (A) of the triangle is:
A = s * a / 2
s - side
a - altitude
We know:
A = 84 in²
s1 = 13 in
s2 = 14 in
s3 = 15 in
a1 = ?
a2 = ?
a3 = ?
_______
a1 = ?
A = s1 * a1 / 2
84 = 13 * a1 / 2
84 * 2 = 13 * a1
168 = 13 * a1
a1 = 168 / 13
a1 = 12.92 in
_________
a2 = ?
A = s2 * a2 / 2
84 = 14 * a2 / 2
84 * 2 = 14 * a2
168 = 14 * a2
a2 = 168 / 14
a2 = 12 in
_______
a3 = ?
A = s3 * a3 / 2
84 = 15 * a3 / 2
84 * 2 = 15 * a3
168 = 15 * a3
a3 = 168 / 15
a3 = 11.2 in
Answer:
Step-by-step explanation:
Since the number of points per game for a certain basketball player is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = number of points per game
µ = mean
σ = standard deviation
From the information given,
µ = 14 points
σ = 2 points
The probability that in a randomly selected game, the player scored more than 8 points is expressed as
P(x > 8) = 1 - P(x ≤ 8
For x = 8,
z = (8 - 14)/2 = - 3
Looking at the normal distribution table, the probability corresponding to the z score is 0.00135
P(x > 8) = 1 - 0.00135 = 0.9987
Converting to percentage, it becomes
0.9987 × 100 = 99.87%
Answer:
1.492 kg
Step-by-step explanation: 0.5kg+0.53kg=1.03kg=1030grams
1030grams+325grams+137grams=1492 grams
1492/1000=1.492kg
<h2>
PLEASE MAKE ME BRAINLIEST!!!</h2>
Since the question is asking how many pencils the teacher will have to give out, we can automatically ignore the 46 erasers from the problem because it is not relevant. The information was most likely put there to confuse you.
Each student is getting 28 pencils, so if we multiply the number of students by 28 pencils, we will find how many pencils the teacher will need to give out.
There are 42 children in the classroom, so multiply 42 by 28.
42 * 28 = 1,176
The teacher will have to give out <u>1,176 pencils</u> to her 42 children in the classroom.
D. x < -2
(Divide 4 by -2 to isolate x)
