Answer:
20.
Step-by-step explanation:
P(5,3) = 5! / 3!
= (5*4*3*2*1) / (3*2*1)
= 20.
Answer:
Exactly 1.30725 bags are needed to cover the garden.
Step-by-step explanation:
We have a yard with a surface of 1307.25 square feet.
We know that one bag of fertilizer covers 1000 square feet.
We want to know how many bags are needed to cover the garden. We can calculate the number of bags as:
B: number of bags needed for the yard.
S: surface of the yard.
b: number of bags per square foot.
Answer:
The first step is
Take the square root of both sides of the equation
Step-by-step explanation:
we have
Solve for x
step 1
Take square root both sides
the solutions are
and 
therefore
The first step is
Take the square root of both sides of the equation
45 minutes is equal to 1.5 times 30:
1.5*30=45
so she will also read 22*1.5 pages, which is 22+11=33
so she will read 33 pages
Answer:
Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.
Step-by-step explanation:
We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.
Triangle ABC:
Measure of angle A= 60°
Measure of angle C= 40°
Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°
Triangle DEF
Measure of angle E= 80°
Measure of angle F= 40°
Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°
The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.
The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.
Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.
