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2 years ago

2x - 18x + 14y - 19 Is it equivalent

Mathematics

2 answers:

jek_recluse [69]2 years ago

4 0

Answer:

Step-by-step explanation:

You can simplify this by collecting the like terms. The only like terms are the pair 2x and 18 x

2x-18x = -16x

Now, put them back together,

-16x + 14y-19

Allisa [31]2 years ago

4 0

Answer:

-16x + 14y - 19

Step-by-step explanation:

2x - 18x + 14y - 19

Factor out the x.

x(2-18) + 14y - 19

Solve for the brackets.

x(-16) + 14y - 19

-16x + 14y - 19

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Fred the owl is looking down at a 67° angle from the top of a tree that is 15 ft tall, when he spots a bird on the ground. How f

guapka [62]

Answer:

Fred C. 16.30 ft

Gary B. 169.67 m

Step-by-step explanation:

Fred the owl...

Always draw a diagram first (see diagram below). We assume trees are perpendicular (at 90°) to the ground. The situation forms a right-angle triangle.

We need to find "x", which is the direct distance between the owl and the bird. "x" is also the hypotenuse, which is the longest side in a right-angle triangle. Since we know a side and an angle, we can find the hypotenuse using primary trigonometry ratios.

∠B will be the angle of reference (the angle we are "talking" about). The side we know is opposite to ∠B (15ft). We know it's opposite because it's not touching the angle. The side we need to find is the hypotenuse.

Use the trig. ratio sine because it has opposite and hypotenuse in it. The general formula is:

sinθ = opp/hyp

θ means the angle, and we know it is 67°.

Replace all the information you know:

sinB = opp/hyp

sin67° = (15ft) / x Isolate "x". Rearrange the equation.

xsin67° = (15ft) Divide both sides by sin67°

x = (15ft) / sin67°

x = 16.295... ft Exact answer in decimals

x ≈ 16.30 ft Rounded to nearest hundredth

Therefore Fred the owl is 16.30 feet from the bird.

Gary spots a monkey...

Draw a diagram first (see below). G is Gary, M is the monkey, T is the bottom of the Sears Tower. We need to find "x", which is the distance between the monkey and the bottom of the tower.

The angle of reference is M, which is 69°. We need to find the adjacent side and we know the opposite side. The trig. ratio that has adjacent and opposite is tangent.

tanθ = opp/adj

Replace all the information you know:

tanM = opp/adj

tan69° = (442m) / x Rearrange the formula to isolate "x"

xtan69° = 442m Divide both sides by tan69°

x = 442m / tan69° Solve by dividing

x = 169.6679.... m Exact decimal answer

x ≈ 169.67m Rounded to the nearest hundredth

Therefore the monkey is 169.67 metres from the tower.

Remember all the trig. ratios using the acronym SohCahToa.

o = opposite side

a = adjacent side

h = hypotenuse side

S = sine, sin for short

C = cosine, cos for short

T = tangent, tan for short

The operation is always dividing the first side in the acronym by the second side.

sinθ = opp/hyp

cosθ = adj/hyp

tanθ = opp/adj

4 0

3 years ago

Solve the equation and enter the value of x below. x(8 + 9) = 34

vodomira [7]

$\huge\boxed{\mathfrak{Answer}}$

$x(8 + 9) = 34 \\ 8x + 9x = 34 \\ 17x = 34 \\ x = \frac{34}{17} \\ x = 2$

=> The answer is 2.

5 0

2 years ago

A local clothing store sells jeans and shirts. The store makes a $10 profit on the sale of jeans and $3 profit on the sale of th

Zepler [3.9K]

Answer:

An inequality to model the situation is : ( 10 m + 3 n) ≥ 150

Here, m : The number of jeans sold

n : The number of shirts sold.

Step-by-step explanation:

Here, the profit on each sale of jeans = $ 10

The profit on each sale of shirt = $ 3

The profit needed to be made = AT LEAST $150

Now, here: Let us assume the number of jeans sold = m

And, The number of shorts sold =n

So, the profit on m jeans = m x ( Profit on 1 jeans) = m x ( $ 10) = 10 m

So, the profit on n shirts = n x ( Profit on 1 shirt) = n x ( $ 3) = 3 n

⇒ The total profit on m jeans + n shirts = ( 10 m + 3 n)

But, according to the question, the profit should AT LEAST $150.

⇒ TOTAL PROFIT ≥ $ 150

⇒ ( 10 m + 3 n) ≥ 150

Hence, an inequality to model the situation is : ( 10 m + 3 n) ≥ 150

3 0

3 years ago

Jackie sold 48 pints of lemonade at her stand. How many quarts of lemonade did she sell? (1 quart = 2 pints)

Rufina [12.5K]

OK. Since One quart= 2 pints, divide the number of pints (48) by 2.
48/2=24
24 is the answer for the number of quarts.

7 0

3 years ago

Read 2 more answers

My questions are all in the photo

user100 [1]

Answer:

A. a=25

B. RCA and QBD

C. Angle PBA

Step-by-step explanation:

2a-9+5a+14=180 since they are same side interior they equal 180

combine like terms- 7a+5=180

subtract 5 from each side- 7a=175

divide 7 from each side- a=25

Please mark Brainliest

6 0

3 years ago