Answer:
The volume of platform
= 11 ft³
Step-by-step explanation:
The height of the Platforms are
The food prep area = 5 ft
Storage shelf = 6 ft
Side of rectangle = b width of platform = d
Therefore area of platform = b·d
Volume of the food prep area platform = Area × height = 5 b·d ft³
Volume of the storage shelf platform = Area × height of storage shelf platform = 6 b·d ft³
Therefore the total volume = Volume of food storage platform + volume of storage shelf platform = 5 b·d ft³ + 6·b·d ft³ = 11·b·d ft³
Answer:
80 total candy bars
Step-by-step explanation;
set up proportion
24
30/100
24 x 100=2400 divided by 30
=80
Recalling that SAT scores are always expressed as multiples of 10, then the points we get on the test will be 628.
<h3>What do you mean by standard deviation?</h3>
In statistics, Standard deviation is a measure of the variation of a set of values.
σ = standard deviation of population
N = number of observation of population
X = mean
μ = population mean
WE have been given that SAT scores are normally distributed, with a mean of 500 points and a standard deviation of 100 points.
The solution as follows;
Let be X: scores of SAT
P(X ≥ x) = 0.9
P((X - 500)/100 ≥ (x - 500)/100) = 0.9
P(Z ≥ z) = 0.9
z = 1.28
1.28 = (x - 500)/100
128 + 500 = x
x = 628
Recalling that SAT scores are always expressed as multiples of 10, then the points we get on the test will be 628.
Learn more about standard deviation and variance:
brainly.com/question/11448982
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The symmetric property of congruence states that if a quantity, say, A is congruent to a quantity, say B, then, the quantity B is congruent to the quantity A.
Mathematically, this statement of the symmetric property of congruence can be written as:
If
, then
.
Applying this symmetric property of congruence to the question that we are given, we see that only Option D fulfills the conditions of the definition of the property of congruence as Option D clearly states that:
If
, then
which is the exact statement of the symmetric property of congruence when applied to triangles.
Thus, Option D is the correct option.
Answer:
64.7 feet
Step-by-step explanation:
Cos(44°) = 0.7193
0.7193 = A/90
A = 64.7 feet
or
sin44° = y/90
.695... = y/90
y =~ 63 feet
either way you can get the answer