90<-30p+15 how do you solve this

Answers

Answer 1
Answer:

*To solve an inequality, it's the same as if you were solving an equation: Isolate the desired variable to one side to solve.

Firstly, subtract 15 on both sides: 75<-30p

Next, you are going to divide both sides by -30. Since you are dividing by a negative, you are going to flip the inequality symbol. Your final answer will be: -(5)/(2)>p


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In △ABC, m∠A=72°, c=61, and m∠B=16°. Find the perimeter of the triangle.

Answers

The perimeter of the triangle is about 136

Further explanation

Firstly , let us learn about trigonometry in mathematics.

Suppose the ΔABC is a right triangle and ∠A is 90°.

sin ∠A = opposite / hypotenuse

cos ∠A = adjacent / hypotenuse

tan ∠A = opposite / adjacent

There are several trigonometric identities that need to be recalled, i.e.

cosec ~ A = (1)/(sin ~ A)

sec ~ A = (1)/(cos ~ A)

cot ~ A = (1)/(tan ~ A)

tan ~ A = (sin ~ A)/(cos ~ A)

Let us now tackle the problem!

This problem is about Sine Rule.

First of all, we will calculate the ∠C :

∠A + ∠B + ∠C = 180°

72° + 16° + ∠C = 180°

∠C = 180° - 72° - 16°

∠C = 92°

Next, we will use the Sine Rule to find the length of the other side of the triangle.

(c)/(\sin \angle C) = (b)/(\sin \angle B)

(61)/(\sin 92^o) = (b)/(\sin 16^o)

b \approx \boxed {16.82}

(c)/(\sin \angle C) = (a)/(\sin \angle A)

(61)/(\sin 92^o) = (a)/(\sin 72^o)

a \approx \boxed {58.05}

Finally, we can find the perimeter of a triangle with the following formula

\text{Perimeter of the triangle} = a + b + c

\text{Perimeter of the triangle} = 58.05 + 16.82 + 61

\text{Perimeter of the triangle} \approx \boxed {136}

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Answer details

Grade: College

Subject: Mathematics

Chapter: Trigonometry

Keywords: Sine , Cosine , Tangent , Opposite , Adjacent , Hypotenuse  

Answer:

136

Step-by-step explanation:

Original price: $45.00;markdown: 22%

Answers

Answer:

$35.10

Step-by-step explanation:

Original price = $45.00

Markdown = 22%

Therefore, 22% × 45.00

= (22)/(100) × 45.00

= 0.22 × 45.00

= $9.9

Now subtract $9.90 from $45.00

= $45.00 - $9.90 = $35.10

$35.10 is the answer.

22% is 0.22 in decimal form
0.22×45= $9.90 markdown so 45-9.90= $35.10 is the sales price

The ratio of two numbers is 7 to 5. The sum of the numbers is 24. What are the numbers?12 and 12

 

14 and 10

 

21 and 15

 

18 and 6

Answers

Answer:

14 and 10

Step-by-step explanation:

The ratio of the 2 numbers = 7x : 5x

The sum of the 2 numbers is 24, hence

7x + 5x = 24

12x = 24 ( divide both sides by 12 )

x = 2

7x = 7 × 2 = 14

5x = 5 × 2 = 10

Thus the numbers are 14 and 10

Lea walked 1/2 miles in 1/3 hours. How long will it take Lea to walk 21/4 miles?

Answers

1/3÷1/2=2/3
2/3×21/4=7/2
it will take her 3.5 hours
21/4 * 1/3  /  1/2
= 21/12  / 1/2
= 21/12 * 2
= 21/6
= 3 3/6
= 3 1/2

The sum of two numbers is 38. The greater number is 5 more than twice the lesser number. What is the greater of the two numbers?

Answers

Have the first number be x and the other number be y.

Write the first equation: The sum is 38:

x+y=38

Then the second equation: x is 5 more than than 2y:

x=2y+5

Take the first equation and make it y=38-x

Then substitute it in for the 2nd equation to find x:

x=2(38-x)+5

x=76-2x+5

3x=81

x=27

Then substitute that into the 1st equation to find y:

(27)+y=38

y=11

The first number (x) is greater than the second number (y) because 27 is greater than 11

So I'm doing angles and I have find the value of X.and I have X and 110 degrees.how do I do that and what's the answer?

Answers

The angles are equal. x=110.
they are both the same so 110* so x=110*kk easy