Answer:
D.) 8
Step-by-step explanation:
You can use the Pythagorean theorem because this is a right triangle:
a and b are the legs and c is the hypotenuse. The hypotenuse is always the longest side in a right triangle (since it is opposite the biggest angle). The two legs squared have to add up to the hypotenuse squared.
Fill in values:
Simplify exponents:
Isolate the variable. Subtract 225 from both sides:
Find the square root of both sides:
The missing leg length is 8.
Using 3.14 for PI.
The radius of a ball and the can is half the diameter = 1.25
The height of the can is the height of 3 diameters = 7.5
Volume of one tennis ball:
4/3 x PI x 1.25^3 = 8.18 cubic inches.
Volume of 3 tennis balls: 3 x 8.18 = 24.54 cubic inches.
Volume of can:
PI x 1.25^2 x 7.5 = 36.80 cubic inches.
Space = 36.80 - 24.54 = 12.26 cubic inches.
Answer:
235 bracelets
Step-by-step explanation:
Mai must spend $250 on wire and $5.30 per bracelet beads. Mai creates the expression.
We are given the equation:
5.3n+ 250 to represent the cost of making n bracelets.
The maximum number of bracelets Mai can make with a budget of $1500 Is calculated as:
$1500 = 5.3n+ 250
Collect like terms
1500 - 250 = 5.3n
1250 = 5.3n
n = 1250/5.3
n = 235.8490566 bracelets.
Bracelets are created as whole numbers and they can't be in decimal form.
Therefore, the maximum number of bracelets Mai can make with a budget of $1500 is 235 bracelets.
Y= arcsin(x) is equivalent to sin(y) = x
we know that -1≤x+1, hence the range of y is: -π/2≤y≤+π/2
By pythagorean theorem
a^2+b^2=c^2
We can find that PL is 12.65
and then by altitude theorem
MA*LA=PA^2
we can find the value of MA
12MA=16
MA=1.33
then by the pythagorean theorem
we can use to find PM
MA^2+PA^2=PM^2
so PM=4.22
then to find the are you multiply length by width
PM*PL
12.65*4.22
So the area is 53.38
