1 year ago

(a)Find the greatest common factor (GCF) of 45 and 54 .

1 answer:

3 0

Answer:he GCF of 54 and 45 is 9. To calculate the GCF of 54 and 45, we need to factor each number (factors of 54 = 1, 2, 3, 6, 9, 18, 27, 54; factors of 45 = 1, 3, 5, 9, 15, 45) and choose the greatest factor that exactly divides both 54 and 45, i.e., 9.

Step-by-step explanation:

You might be interested in

Find the value of y.<br><br> m ∠ 1 = 3y - 6

Ivenika [448]

$m\angle1=90\\
3y-6=90\\
3y=96\\
y=32$

4 0

3 years ago

Read 2 more answers

Consider a series circuit consisting of a resistor of R ohms, an inductor of L henries, and variable voltage source of V(t) volt

ser-zykov [4K]

Answer:

$I(t)=\frac{1}{3}(1-e^{-30t})$

Step-by-step explanation:

We are given that

$\frac{dI}{dt}+\frac{R}{L}I=\frac{V(t)}{L}$

R=150 ohm

L=5 H

V(t)=10 V

$P=\frac{R}{L}=\frac{150}{5}=30$

$I.F=e^{\int Pdt}=e^{\int 30 dt}=e^{30 t}$

$I(t)\times I.F=\int e^{30 t}\times 10 dt+C$

$I(t)\times e^{30 t}=\frac{10}{30}e^{30 t}+C$

$I(t)=\frac{1}{3}+Ce^{-30 t}$

I(0)=0

Substitute t=0

$0=\frac{1}{3}+C$

$C=-\frac{1}{3}$

Substitute the values

$I(t)=\frac{1}{3}-\frac{1}{3}e^{-30 t}$

$I(t)=\frac{1}{3}(1-e^{-30t})$

5 0

3 years ago

Please Help!! Which graph shows the solution to this system of inequalities?

scoundrel [369]

Answer:

A. The first graph

Step-by-step explanation:

When you graph these two equations on a graphing calc, you should be able to see one dotted line and one solid, as well as the solutions being mostly in the 1st quadrant.

7 0

3 years ago

A packing company makes boxes with each measuring 3 feet what is the volume of the boxes boxes are put in a larger rectangle or

dimulka [17.4K]

V=L*W*H
V= 3*3*3
V= 9*3
V= 27

4 0

3 years ago

Suppose that the Band Booster Club sells 25 blanket wraps during a chilly football game. Use the graph to determine how many T-s

igor_vitrenko [27]

Answer:

Can I see the graph?

Step-by-step explanation:

You need the info of the graph to get the answer.

6 0

2 years ago