Solve for x:
5x - 15 = 2030

9514 1404 393

Answer:

  1.  sin(x) = a/c; cos(x) = b/c; tan(x) = a/b

  2, 3 see below

Step-by-step explanation:

1. The mnemonic SOH CAH TOA reminds you of the relationships between trig functions and sides of a right triangle:

  Sin = Opposite/Hypotenuse   ⇒   sin(x) = a/c

  Cos = Adjacent/Hypotenuse   ⇒   cos(x) = b/c

  Tan = Opposite/Adjacent   ⇒   tan(x) = a/b

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2. The attachment shows the two special right triangles. The 30-60-90 right triangle has sides in the ratio 1 : √3 : 2. The 45-45-90 isosceles right triangle has sides in the ratio 1 : 1 : √2.

These ratios can be used to write proportions that help you find the length of a missing side.

Example:

Suppose the triangle in problem 1 has x = 30°, and a = 10. Then we could find the length of missing side 'c' using a proportion involving the short side and the long side (hypotenuse).

  2/1 = c/10   ⇒   c = 20

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3. In a right triangle, the acute angles are complementary. The side adjacent to one acute angle is the side opposite the other. So the sine of one of the angles is the cosine of the other, and vice versa. This means the sine of an angle is the cosine of its complement, and vice versa.

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Comment on question 3

The wording of this question is a little strange. Sine and cosine are not complementary. Rather, the angles for which those functions have the same value are complementary.

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▹ Answer

Her dad's swimsuit costs $65.

▹ Step-by-Step Explanation

Since Monica's swimsuit is $35, we will subtract that from the total amount spent, $170.

$170 - $35 = $135

Since Monica's mom's swimsuit costs 2x Monica's we will multiply 35 * 2:

$35* 2 = $70

We will now add Monica's cost and her moms' cost:

$35 + $70 = $105

To find Monica's dads' cost, we will subtract 105 from 170:

$170 - $105 = $65

Her dad's swimsuit costs $65.

Hope this helps!

CloutAnswers ❁

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Answer:

4

Step-by-step explanation:

just guessing hh oop sorry if its wrong

Answer: Maximum tickets she can buy is 52

Step-by-step explanation:

After she bought the fries and drinks she was left with $49.81. If she spent the rest of her money on rides/tickets for the rides then she bought 52 tickets to be exact. 0.95x52=49.40

Answer:

b

Step-by-step explanation:

I messed up so how do I erase my answer omg sorry ....

9514 1404 393

Answer:

  A.  $0.85

Step-by-step explanation:

Each time m increases by 1, the cost goes up by $0.85.

The cost per mile is $0.85.

Answer:

0

Step-by-step explanation:

0

Answer:

a.(-1,8), (2,9) b. (2,0) (3,5)

Step-by-step explanation:

a.

for (-4, 7) slope is [tex]\frac{1}{3}[/tex]

slope is m=rise /run =rise 1/run3 so to go to the next point

from (-4,7)

rise 1 so now you are at (-4,8) and run 3 and you are at (-1,8)

from (-1,8)

rise 1 to (-1, 9) and run 3 to (2,9)

b

(1,-5) slope is [tex]\frac{5}{1}[/tex]

from (1,-5) rise 5 to (1,0) and run 1 to (2,0)

from (2,0) rise 5 to (2,5) and run 1 to (3,5)

Answer:

b

attention:

please i saw in this picture that you wrote for the question 10 that I solved before number -5

and the answer i got was 5 not -5 hope I am talking about the question I answered before.

Answer:

hello your question is incomplete attached below is the complete question

answer : attached below

Step-by-step explanation:

A) The given output would be : 1 for 0, 5,10,15   also the output will be = 0 for every other value

attached below is the truth function of the Boolean truth table

B) attached below is the Boolean expression

Answer:

the x and y axis arent clear enough to tell their coordinations can you take the picture again but it has to be clear

Answer:

density equals mass over volume

D=.27G/ .1CM3

Step-by-step explanation:

hope this helps

Answer:

3

Step-by-step explanation:

36÷12=3

sooo EACH ticket is 3$ PER ticket

x (x + 4) = 5

x² + 4x = 5

x²+ x + (-5) = 0

(x+3)²+(t+3)²=9

x² + 6x + 9 + t² + 6t + 9 = 9

x² + t² + 6x + 6t + 18 + (-9) = 0

x² + t² + 6x + 6t + 9 = 0

x² + t² + 6(x + t) + 9 = 0

3/x + 4/2x = x - 1

6/2x + 4/2x = x - 1

10/2x = x - 1

10 = (x - 1) 2x

10 = 2x² - 2x

0 = 2x² + (-2x) + (-10)

Answer:

80 cm

Step-by-step explanation:

The diagonals divide the rhombus into four congruent triangles.  The height of each triangle is 18/2 = 9, and the hypotenuse is 41.  Using Pythagorean theorem, the width of each triangle is:

c² = a² + b²

41² = 9² + x²

x = 40

Therefore, the longer diagonal is 2×40 = 80.

Answer:

should be 8.

Step-by-step explanation:

As the picture shows, FG is 8. It also shows that FG and GD are congruent, so they are both equal to 8

Answer:

Range:y[tex]\leq[/tex]5

Step-by-step explanation:

Since y is always less than 5, y cannot be equal to it since the highest value of y was about 4.

Answer:

b) 18

c) 80.78

Step-by-step explanation:

While we can solve this equation with separation of variables, it isn't necessary.  The coffee is originally at 95°, and the ambient temperature is 18°.  The top right graph is the only one that shows this trend.

As t approaches infinity, y approaches the ambient temperature of 18°.

yₙ₊₁ = yₙ + Δt F(tₙ, yₙ)

yₙ₊₁ = yₙ + 2 (-0.02 (yₙ − 18))

yₙ₊₁ = yₙ − 0.04 (yₙ − 18)

yₙ₊₁ = 0.96 yₙ + 0.72

When n=0:

y₁ = 0.96 y₀ + 0.72

y₁ = 0.96 (95) + 0.72

y₁ = 91.92

When n=1:

y₂ = 0.96 y₁ + 0.72

y₂ = 0.96 (91.92) + 0.72

y₂ = 88.96

When n=2:

y₃ = 0.96 y₂ + 0.72

y₃ = 0.96 (88.96) + 0.72

y₃ = 86.12

When n=3:

y₄ = 0.96 y₃ + 0.72

y₄ = 0.96 (86.12) + 0.72

y₄ = 83.40

When n=4:

y₅ = 0.96 y₄ + 0.72

y₅ = 0.96 (83.40) + 0.72

y₅ = 80.78

Answer:

I think 35 min

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

12 is 1/4 of 48 so when you take $12 off $48 you take 1/4 of 25% away

Answer:

18 gallons of paint could paint 10 classrooms.

Step-by-step explanation:

Given that the school bought 18 gallons of paint, and that each classroom requires 1 4/5 of paint to be painted, to determine how many classrooms can be painted with that amount of paint, the following calculation must be performed:

4/5 = 0.8

1 + 0.8 = 1.8

18 / 1.8 = 10

Therefore, 18 gallons of paint could paint 10 classrooms.

Answer: b, 12

explanation: combine -3/2 * x and u get -3/2x. then isolate the variable by doing the inverse of subtraction on both sides. (add 9 on both sides). then do the inverse of multiplication on both sides. (divide by -3/2 on both sides)

Answer: C) n+6

Step-by-step explanation:

You’re increasing so it means you want to add and you must have a serving 6+ and the only one that’s increasing is C

Answer: c is n+6

Step-by-step explanation:

Answer:

The statement of cash flows is an optional financial statement. The statement of cash flows shows the effects on cash of a company's operating, investing, and financing activities. The statement of cash flows reports a firm's major sources of cash receipts and major uses of cash payments for a period.

Answer: Decrease by 30%

Step-by-step explanation:

Answer:

Avram will have to pay $7,047 simple interest

Step-by-step explanation:

Simple Interest

Definition: Interest calculated on the original principal only of a loan or on the balance of an account.

Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=A.r.t

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

Avram has a principal of P=$14,500 at a simple rate of r=5.4%=0.054 for t=9 years, thus:

I=14,500*0.054*9=7,047

I=$7,047

Avram will have to pay $7,047 simple interest

Answer:

$7,047 simple interest