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3 years ago

What is the length of AC?

Mathematics

1 answer:

EastWind [94]3 years ago

8 0

Answer:

Step-by-step explanation:

the triangles are proportional

9/81=1/3

140-x/x=1/3

3(140-x)=x

420-3x=x

4x=420

x=420/4 = 105

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P URGENT I've got a timer going on but really need your help to answer this thank you!!

astraxan [27]

Given:

The radius of inner circle = 13 yd.

The width of the shaded region = 8 yd

To find the area of the shaded region.

Now,

The radius of the outer circle = 13+8 yd = 21 yd

Formula

The area of a circle of radius r unit is $\pi r^{2}$ sq unit.

$A = A_{1}-A_{2}$

where, $A$ = The area of the shaded region

$A_{1}$ = Area of the outer region

$A_{2}$ = Area of the inner region

Now,

$A_{1}$ $=$ $\pi (21^{2})$

$A_{1} = (3.14)(21)(21)$

$A_{1}$ $= 1384.74$ sq yd

And,

$A_{2}$ $=$ $\pi (13^{2})$

$A_{2} = (3.14)(13)(13)$

$A_{2}$ $= 530.66$ sq yd

Therefore,

$A = 1384.74-530.66$ sq yd

$A = 854.08$ sq yd

Hence,

The area of the shaded region 854.08 sq yd.

7 0

3 years ago

Parsons Bank offers two checking-account plans. The No Frills plan charges 35cents per check whereas the Simple Checking plan c

Mnenie [13.5K]

Answer:

No frills = $0.25(x)

simple = $6 + $0.05(x)

set equal to each other

0.025(x) = 6 + 0.05(x)

rearrange like terms together

0.025(x) - 0.05(x) = 6

0.020(x) = 6

x =300

Simple plan will be cheaper once you use more than 300 checks

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

PLZ HELP AND HURRY!!!!

julsineya [31]

Answer:

Complementary

Step-by-step explanation:

adding up to 90 degrees

6 0

2 years ago

Hayden is building toy cars. Each car needs 4 wheels. How many wheels will Hayden use to build 3 toy cars?

ycow [4]

Answer:

Step-by-step explanation:

Three cars each need 4 wheels, so that is...

4 + 4 + 4 wheels, which is 12 wheels

8 0

2 years ago

Country A has a growth rate of 4.9% per year. The population is currently 4 comma 151,000, and the land area of Country A is 1

kvv77 [185]

Answer:

There will be one person on 1 square yard of land after 1,892,147.588 years.

Step-by-step explanation:

Continuous exponential growth formula:

$P(t)=Pe^{rt}$

P(t)= Population after t years.

P= Initial population

r=rate of growth.

t= time in year

Given that,

Growth rate of country A (r)= 4.9% per year=0.049 per year.

Initial population (P)= 151,000.

Land area of country area= 14,000,000,000 square yards.

There will be one person on one square yard of land.

So, there will be 14,000,000,000 person for 14,000,000,000 square yard of land in country A.

P(t)=14,000,000,000 person

$\therefore 14,000,000,000= 151,000 e^{0.049t}$

$\Rightarrow e^{0.049t}=\frac{ 14,000,000,000}{ 151,000}$

Taking ln both sides

$\Rightarrow ln|e^{0.049t}|=ln|\frac{ 14,000,000,000}{ 151,000}|$

$\Rightarrow {0.049t}=ln|\frac{ 14,000,000,000}{ 151,000}|$

$\Rightarrow t}=\frac{ln|\frac{ 14,000,000,000}{ 151,000}|}{0.049}$

$\Rightarrow t}=1,892,147.588$ years

There will be one person for every square yard of land after 1,892,147.588 years.

7 0

3 years ago