Solve for x: 5x/6 - 2 =8 thank you for answering! will give brainly if correct!

Compare the two groups of data. Which statement is true? A) based on the median, the number of push-ups This Month is 5 more tha

Rina8888 [55]

Answer:

Answer is A.

Step-by-step explanation:

7 0

3 years ago

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

Someone please help me

goldenfox [79]

Answer:

the slope is -2

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

The advertising and sales model of a company is given by the function S = 2t2 + 100, where t is time in months and t ≥ 0. If adv

kirill [66]

its to shift along the x-axis not the y

7 0

3 years ago

Mrs. Bryant, the principal at Dayton Middle School, asked her teachers to participate in a study on teaching methods. The 2 teac

NARA [144]

Answer:

No, it isn't.

Step-by-step explanation:

A random sampling is one whereby every individual or possible member of a population or large sample has an equal chance of bein selected. Either the participants wants to be a part of the sample or not isn't taken into consideration, each and every member just has an equal Chance of being chosen. Volunteering isn't a random sampling protocol or procedure. By making Selection through volunteering, teachers who are more interested in the program are likely to show more interest, hence availing themselves for the programme. A random selection gives every possible subject an equal chance.

3 0

2 years ago