Assuming AB is the height because we are given it has a square base with 4 by 4
so draw a diagram ( see attachment)
given tha the 8 inch straw ha 1 inch sticking out, the diagonal is 7
use pythagorean theorem twice since 2 right triangles
a^2+b^2=c^2
4^2+4^2=c^2
16+16=c^2
32=c^2
sqrt both sides
4√2=c
the bottom diagonal is 4√2
bottom^2+height^2=7^2
(4√2)^2+(AB)^2=7^2
32+(AB)^2=47
minus 32 both sides
(AB)^2=15
sqrt both sides
AB=√15
if AB is the height
Answer:
Step-by-step explanation:
Ok, I’ve answered this questioned in a task of mine before, I believe it’s this here we go:
It should be 20 degrees is more than or equal to -60 degrees because the question is asking the relation BETWEEN the two and it has to be an inequality so yea!
I’m in 7th grade I KNOW YOUR PAIN!!!
Answer: the probability the mean weight will exceed 2.1 ounces is 0.09
Step-by-step explanation:
Let x be the random variable representing the amount of icing on a Cuppie Cake large cupcake. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = standard deviation
n = number of samples
From the information given,
µ = 2
σ = 0.3
n = 16
x = 2.1
the probability that the mean weight will exceed 2.1 ounces is expressed as
P(x ≥ 2.1)
For x = 2.1
z = (2.1 - 2)/(0.3/√16) = 1.33
We would determine the probability for the area above z = 1.33 from the normal distribution table. It would be
p = 1 - 0.91 = 0.09
P(x ≥ 2.1) = 0.09
Area = 7x + 3
Perimeter = 14x + 6
The distance formula is given by

Take point A(0, -7) as (x₁, x₂) and point B(8, 8) as (y₁, y₂)
Distance AB =

Distance AB =

Distance AB =

Distance AB = 17
The line AB is dilated to A'B' by scale factor of 2, it means the length of the line is multiplied by 2
Distance A'B' = 2 × 17 = 34 units