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adell [148]
3 years ago
8

Find the area of the figure shown. Use 3.14 to approximate pi

Mathematics
1 answer:
Nina [5.8K]3 years ago
4 0
Alrighty

we gots 1/4 circle and paralellogram

area circle=pi times radius^2
area paralelogram=base times height


1/4 circle is
radius is 10 so
area part circle is 1/4 times pi times 10^2=100/4pi=25pi=78.5 m²

area paralllogram is
10 times 3 because 3 is height and 10 is base length or 30

30+78.5=108.5 m² is the area
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use distributive property to simplify the expression 3 (8x + 2y) I need help with my algebra homework someone please help.
inysia [295]

6 \times (4 \times x + y)
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3 years ago
Help! I have looked at so many lessons on writing exponential functions from a graph and nothing has helped.
Over [174]

Answer:

y = 8(-\frac{1}{2})^x

Step-by-step explanation:

Let the equation of the exponential function is,

y = a(b)ˣ

Since the graph of this function passes through two points (4, \frac{1}{2}) and (3, -1)

For the point (4, \frac{1}{2}),

\frac{1}{2}=a(b)^4 ---------(1)

For second point (3, -1),

-1 = a(b)³ ---------(2)

Divide equation (2) by equation (1),

\frac{\frac{1}{2}}{-1} = \frac{a(b)^4}{a(b)^3}

-\frac{1}{2}=b^{(4-3)}

-\frac{1}{2}=b

From equation (2)

-1 = a(-\frac{1}{2})^3

-1 = -\frac{1}{8}a

a = 8

Therefore, equation of the exponential function will be,

y = 8(-\frac{1}{2})^x

4 0
2 years ago
Someone help me with this one​
frosja888 [35]

Answer:

2/3

Step-by-step explanation:

20% = 12

48

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3 0
3 years ago
Read 2 more answers
A solution initially contains 200 bacteria. 1. Assuming the number y increases at a rate proportional to the number present, wri
GuDViN [60]

Answer:

1.\frac{dy}{dt}=ky

2.543.6

Step-by-step explanation:

We are given that

y(0)=200

Let y be the number of bacteria at any time

\frac{dy}{dt}=Number of bacteria per unit time

\frac{dy}{dt}\proportional y

\frac{dy}{dt}=ky

Where k=Proportionality constant

2.\frac{dy}{y}=kdt,y'(0)=100

Integrating on both sides then, we get

lny=kt+C

We have y(0)=200

Substitute the values then , we get

ln 200=k(0)+C

C=ln 200

Substitute the value of C then we get

ln y=kt+ln 200

ln y-ln200=kt

ln\frac{y}{200}=kt

\frac{y}{200}=e^{kt}

y=200e^{kt}

Differentiate w.r.t

y'=200ke^{kt}

Substitute the given condition then, we get

100=200ke^{0}=200 \;because \;e^0=1

k=\frac{100}{200}=\frac{1}{2}

y=200e^{\frac{t}{2}}

Substitute t=2

Then, we get y=200e^{\frac{2}{2}}=200e

y=200(2.718)=543.6=543.6

e=2.718

Hence, the number of bacteria after 2 hours=543.6

4 0
3 years ago
Kendall works as a salesperson and earns a base salary of $82 per week plus a commission of 20% of all her sales. If Kendall had
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Commission = 20% x 85 = $17

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8 0
3 years ago
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