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2 years ago

ANSWER ASAP PLS..........

Mathematics

1 answer:

Korolek [52]2 years ago

8 0

The length of one leg of the right triangle is 5√10

<h3>How to find the leg of a right triangle?</h3>

The leg of a right triangle can be found as follows;

Therefore, using trigonometric ratios,

sin 45 = opposite / hypotenuse

sin 45 = x / 10√5

1 / √2 = x / 10√5

cross multiply

10√5 = x√2

divide both sides by √2

x = 10√5 / √2

x = 10√5 / √2 × √2 / √2

x = 10√10 / 2 = 5√10

learn more on right triangle here: brainly.com/question/3398476

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Brandon spends $25.30 on 2 large containers of popcorn and 4 large drinks. A large container of popcorn costs $5.25. What is the

Paladinen [302]

Answer:

$3.70

Step-by-step explanation:

$25.30 = 2P + 4D. p for popcorn and d for drinks

P= $5.25

$25.30 = 2($5.25) + 4D

$25.30 = $10.50 + 4D

-10.50. -10.50

inverse operations

$14.80 = 4D

÷4. ÷4

Inverse operations

$3.70 = D

5 0

2 years ago

Jo and Pete have collected some aluminum cans to be recycled. Pete has 47 pounds of cans and Jo has 52 pounds. They can get $0.2

Ksenya-84 [330]

Answer:

Step-by-step explanation:

Total weight of aluminum cans that Pete collected for recycling is 47 pounds.

Total weight of aluminum cans that Jo collected for recycling is 52 pounds.

They can get $0.21 per pound for the cans. Therefore,

The total amount that Pete will get for collecting 47 pounds of aluminum would be

0.21 × 47 = $9.87

The total amount that Jo will get for collecting 52 pounds of aluminum would be

0.21 × 52 = $10.92

The total amount of money that they would get is

9.87 + 10.92 = $20.79

3 0

2 years ago

A town has 5000 people in year t = 0. Calculate how long it takes for the population P to double once, twice, and three times, a

UNO [17]

Answer:

Step-by-step explanation:

At the time t = 0, population of the town = 5000

Rate of population increase = 500 per year

Therefore, the equation that will represent the population will be

$P_{t}=P_{0}+500t$

Where $P_{t}$ = Population after t years

$P_{0}$ = Initial population

t = Time in years

a). For double once the population will be 500×2 = 10000

By plugging in the values in the equation,

10000 = 5000 + 500t

500t = 10000 - 5000

500t = 5000

t = $\frac{5000}{500}$

t = 10 years

For Double twice,

Population will be = 10000×2 = 20000

Now we plug in the values in the equation again

20000 = 5000 + 500t

500t = 20000 - 5000

500t = 15000

t = $\frac{15000}{500}$

t = 30 years

For double thrice,

Population of the town = 20000×2 = 40000

Now we plug in the values in the equation,

40000 = 5000 + 500t

500t = 40000 - 5000

500t = 35000

t = $\frac{35000}{500}$

t = 70 years

b). If the population growth is 5%.

Then the growth will be exponential represented by

$T_{n}=T_{0}(1+\frac{r}{100})^{t}$

$T_{n}$ = Population after t years

$T_{0}$ = Initial population

t = time in years

For double once,

Population after t years = 10000

$10000=5000(1+\frac{5}{100})^{t}$

$(1.05)^{t}=\frac{10000}{5000}$

$(1.05)^{t}=2$

Take log on both the sides

$log(1.05)^{t}=log2$

tlog(1.05) = log2

t = $\frac{log2}{log1.05}$

t = 14.20 years

For double twice,

Population after t years = 20000

$20000=5000(1+\frac{5}{100})^{t}$

$(1.05)^{t}=\frac{20000}{5000}$

$(1.05)^{t}=4$

Take log on both the sides

$log(1.05)^{t}=log4$

tlog(1.05) = log4

t = $\frac{log4}{log1.05}$

t = 28.413 years

For double thrice

Population after t years = 40000

$40000=5000(1+\frac{5}{100})^{t}$

$(1.05)^{t}=\frac{40000}{5000}$

$(1.05)^{t}=8$

Take log on both the sides

$log(1.05)^{t}=log8$

tlog(1.05) = log8

t = $\frac{log8}{log1.05}$

t = 42.620 years

4 0

2 years ago

How do you find the lateral surface are of a cylinder

saveliy_v [14]

Use this equation :
al=2(pi)rh

4 0

3 years ago

Which of the following equations is an example of the Associative Property of Addition?

user100 [1]

Answer:

Option B) (5+6)+4=5+(6+4) is correct

An example of the associative property of addition is (5+6)+4=5+(6+4)

Step-by-step explanation:

Given $(5+6)+4=5+(6+4)\hfill (1)$

Verify that the given equation is an example of associative property of addition or not:

We have the associative property of addition

$(a+b)+c=a+(b+c) \hfill (2)$

Comparing the equation (1) and(2) we have the given equation is in associative property

Therefore option B) (5+6)+4=5+(6+4) is correct

An example of the associative property of addition is (5+6)+4=5+(6+4)

8 0

3 years ago