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2 years ago

The area of the following composite figure is 125 square centimeters. What is the value of b?

Mathematics

1 answer:

iris [78.8K]2 years ago

6 0

Answer:

b=125

Step-by-step explanation

9cm x 14 - 1 = 125

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Timmy is building a new website. Right after he starts, he has 2 visitors. He expects his visitors to increase according to a mo

Alex73 [517]

Answer:

He gets 42 visitors 4 weeks after starting to build his website.

He gets 10 new visitors per week.

Step-by-step explanation:

Equation for the number of visitors:

The equation for the number of visitors Timmy's new website receives after t weeks is:

$v(t) = 10t + b$

In which b is the number of visitors rightly after he starts.

Timmy is building a new website. Right after he starts, he has 2 visitors.

This means that $b = 2$ , so:

$v(t) = 10t + 2$

How many visitors does he get 4 weeks after starting to build his website?

This is v(4). So

$v(4) = 10(4) + 2 = 40 + 2 = 42$

He gets 42 visitors 4 weeks after starting to build his website.

How any new visitors does he get per week?

After 0 weeks:

$v(0) = 10(0) + 2 = 0 + 2 = 2$

After 1 week:

$v(1) = 10(1) + 2 = 10 + 2 = 12$

2 weeks:

After 2 week:

$v(2) = 10(2) + 2 = 20 + 2 = 22$

22 - 12 = 12 - 2 = 10

He gets 10 new visitors per week.

5 0

3 years ago

Identify the stem: 556 A. 5 B. 6 C. 55 D. 56 ...Ahem.. Help?

Semenov [28]

C. a leaf is only one digit

3 0

3 years ago

Read 2 more answers

If a=10, What is a/ 2 plus 9

makkiz [27]

Answer:

a=14

Step-by-step explanation:

if a=10, 10/2 = 5 plus 9 = 14

5 0

3 years ago

It takes 58 pounds of seed to completely plant a 9-acre field. How many acres can be planted per pound of seed?

ozzi

Answer:

6 4/9

Step-by-step explanation:

You divide 58 and 8 and your answer would be 6.444444 repeating.

6 0

3 years ago

A post is supported by two wires (one on each side going in oppositedirections) creating an angle of 80° between the wires. The

Vladimir [108]

Using the Sine rule,

$\frac{\sin A}{A}=\frac{\sin B}{B}=\frac{\sin C}{C}$ $\begin{gathered} \text{Let A = 14m,} \\ Substituting the variables into the formula,Where the length of the wires are, AP = xm and BP = ym[tex]\begin{gathered} \frac{\sin80^0}{14}=\frac{\sin40^0}{x} \\ \text{Crossmultiply,} \\ x\times\sin 80^0=14\times\sin 40^0 \\ Divide\text{ both sides by }\sin 80^0 \\ x=\frac{14\sin40^0}{\sin80^0} \\ x=9.14m \end{gathered}$

Hence, the length of wire AP (x) is 9.14m.

For wire BP (y)m,

Sum of angles in a triangle is 180 degrees,

$A^0+P^0+B^0=180^0$ $\begin{gathered} \text{Where A}^0=\text{ unknown,} \\ P^0=80^0\text{ and,} \\ B^0=40^0 \\ A^0+80^0+40^0=180^0 \\ A^0+120^0=180^0 \\ A^0=180^0-120^0 \\ A^0=60^0 \end{gathered}$

Using the side rule to find the length of wire BP,

$\begin{gathered} \frac{\sin 60^0}{y}=\frac{\sin 80^0}{14} \\ \text{Crossmultiply,} \\ y\times\sin 80^0=14\times\sin 60^0 \\ \text{Didive both sides by }\sin 80^0 \\ y=\frac{14\times\sin 60^0}{\sin 80^0} \\ y=12.31m \end{gathered}$

Hence, the length of wire BP (y) is 12.31m

Therefore, the length of the wires are (9.14m and 12.31m).

4 0

1 year ago