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3 years ago

What’s the correct answer for this question?

Mathematics

2 answers:

Sati [7]3 years ago

7 0

Answer:

Step-by-step explanation:

sin C = opposite/hypotenuse = ⅗

Adjacent² = 5² - 3² = 16

Adjacent = 4

Tan C = opposite/adjacent = ¾

Damm [24]3 years ago

5 0

Answer:

tan C = 3/4

Step-by-step explanation:

sin C = opposite over hypotenuse

sin C = 3/5

BC = 5

AB = 3

We can use the Pythagorean theorem

a^2 + b^2 = c^2

3^2 + b^2 = 5^2

9 + b^2= 25

Subtract 9 from each side

9-9+b^2=25-9

b^2= 16

Take the square root of each side

sqrt(b^2)= sqrt(16)

b = 4

AC = 4

Tan C = opp side/ adj side

tan C = AB/ AC = 3/4

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Sarah has a collection of nickels, dimes, and quarters worth $28.75. She has 10 more dimes than nickels and twice as many quarte

Ymorist [56]

Answer:

Step-by-step explanation:

Write an equation for each statement:

"Sarah has a collection of nickels, dimes, and quarters worth $15.75."

.05n + .1d + .25q = 15.75

"She has 10 more dimes than nickels"

d = n + 10

"twice as many quarters as dimes."

q = 2d

How many coins of each kind does she have?

Take the 2nd equation and arrange it so n is in terms of d also

n + 10 = d

n = (d - 10)

In the 1st equation substitute (d-10) for n and 2d for q:

.05n + .1d + .25q = 15.75

.05(d-10) + .1d + .25(2d) = 15.75

.05d - .5 + .1d + .5d = 15.75

.65d - .5 = 15.75

.65d = 15.75 + .5

.65d = 16.25

d = 16.25/.65

d = 25 dimes

Remember the statement "twice as many quarters as dimes."

q = 2(25)

q = 50 quarters

The statement "She has 10 more dimes than nickels"

n = 25 - 10

n - 15 nickels

Check our solutions

.05(15) + .1(25) + .25(50) =

.75 + 2.50 + 12.50 = 15.75 proves our solutions

8 0

2 years ago

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

BaLLatris [955]

Answer:

a₆ ≈ 25.284

Step-by-step explanation:

There is a common ratio between consecutive terms , that is

8 ÷ 6 = $\frac{32}{3}$ ÷ 8 = $\frac{4}{3}$

This indicates the sequence is geometric with nth term

$a_{n}$ = a₁ $r^{n-1}$

where a₁ is the first term and r the common ratio

Here a₁ = 6 and r = $\frac{4}{3}$ , then

a₆ = 6 × $(\frac{4}{3}) ^{5}$ = 6 × $\frac{1024}{243}$ = $\frac{6(1024)}{243}$ ≈ 25.284 ( to the nearest thousandth )

6 0

2 years ago

Read 2 more answers

These numbers form an addition and subtraction fact family for 8,3,11 what is the answer

Schach [20]

Answer:

A fact family is a set of related addition and subtraction number sentences that include the same numbers. The numbers 2, 4, and 6 can be written in two different addition sentences. The numbers 2, 4, and 6 can be written in two different subtraction sentences. These four number sentences make up a fact family.

7 0

2 years ago

Which steps would you use to solve this equation? Check all that apply p + 7 = 12

Neporo4naja [7]

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$\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}$

Which steps would you use to solve this equation? p+7=12

$\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}$

We can solve this equation in one step only, and this is the step:-

Subtract 7 from both sides

p=12-7

p=5

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5 0

2 years ago

Please help show work<br> (Don’t mind my answer I accidentally clicked)<br><br> anything helps :)

Akimi4 [234]

There’s no work for you to show

6 0

3 years ago