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2 years ago

Find the area of the semicircle.

Mathematics

1 answer:

Semenov [28]2 years ago

3 0

Answer:

241.5602

Step-by-step explanation:

Area of a semicircle is $\frac{1}{2}$ π $(r^{2})$

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Graph the system of equations on graph paper. {8x+6y=482x−3y=−6 Which statements are true about the solution to the system of eq

GuDViN [60]

Answer:

The answers are that the x-coordinate is 3, the y-coordinate is 4 and it is in quadrant I

Step-by-step explanation:

To find these answers, start by solving the system. We can do this by multiplying the second equation by 2 and adding them together.

8x + 6y = 48

4x - 6y = -12

-------------------

12x = 36

x = 3

Next, find the y value by plugging in the x value to either equation and solving.

2x - 3y = -6

2(3) - 3y = -6

6 - 3y = -6

-3y = -12

y = 4

6 0

2 years ago

What is the true solution to the equation below? 2 in e in2×-in e in 10×= in 30 A x=30 B x=75 C x=150 D x=300

hodyreva [135]

Answer:

Option B.

Step-by-step explanation:

Let as consider the given equation:

$2\ln e^{\ln 2x}-\ln e^{\ln 10x}=\ln 30$

It can be written as

$2(\ln 2x)-(\ln 10x)=\ln 30$ $[\because \ln e^a=a]$

$\ln (2x)^2-(\ln 10x)=\ln 30$ $[\because \ln a^b=b\ln a]$

$\ln \dfrac{4x^2}{10x}=\ln 30$ $[\because \ln \dfrac{a}{b}=\ln a-\ln b]$

$\ln \dfrac{2x}{5}=\ln 30$

On comparing both sides, we get

$\dfrac{2x}{5}=30$

Multiply both sides by 5.

$2x=150$

Divide both sides by 2.

$x=75$

Therefore, the correct option is B.

7 0

3 years ago

Use benchmarks to estimate the sum 11/15 + 1/8

kozerog [31]

Answer:

Well, in mixed fraction I would guess 103/120

Step-by-step explanation:

3 0

2 years ago

Our peak time this week will be 8:00a.m to 12:00 p.m which requires 32% more than the afternoon requirements of 473 agents

Nataliya [291]

Let x be the number of agents required during peak hours. This value should be 32% more than the given number of agents in the afternoon which is 473.

x = 473 + 0.32(473)

x = 624.36

Since, we cannot have the number of agents in decimal place, we round up the value. Thus, the number of agents required during peak hours is approximately equal to 625.

5 0

3 years ago

Read 2 more answers

Mortgage (monthly)

rodikova [14]

Answer:

Amount you could save per month if you take 25% of your discretionary monies and put it in a savings account is $209.68

Step-by-step explanation:

Expense Amount Per Month Expenses

Mortgage (monthly) $985.64 $985.64

Cell phone (monthly) $58.30 $58.30

Groceries (twice a month) $154.00 $308.00

Clothing (monthly with $180.00 $180.00

25% job–related )

Water & electric (monthly) $128.40 $128.40

Weekly dinner & movie $55.00 $220.00

Property taxes (6 months) $684.80 $114.133

Car insurance (quarterly) $330.00 $110.00

Groceries multiplied by 2 as you buy them twice a month. Dinner and movie on weekly basis, so you multiply it by 4. Car Insurance you pay for 4 quarters. 1 quarter has 3 months so, you divide 330 by 3, to find the amount paid per month. Rest of the data is monthly expense.

So, your total fixed expense per month = $ 2104.473.

Discretionary income = Income - Expense.

Discretionary income = $ 2,943.20 - $ 2104.47

= $ 838.73

Now, you are saving 25% of the discretionary income into your account. So, 25 % of $838.73 is your saving

Amount you could save = 25 % of $838.73

= 0.25 x $838.73

= $209.68

6 0

3 years ago