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Sliva [168]
2 years ago
10

One pound of grass sead covers 400 square feet of field. How many pounds of seed is needed for the entire field? (round to the n

earest whole number)
Mathematics
1 answer:
KengaRu [80]2 years ago
5 0

Answer:

165

Step-by-step explanation: find the area or the field     A=r^2

the radius is 290/2=145ft

A=145* 145* 3.14= 66018.5 sqr ft

66018.5 / 400= 165

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

We need to <u>find "x"</u>, 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.

<u>Use the trig. ratio sine</u> 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 <u>find "x"</u>, 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. <u>The trig. ratio that has adjacent and opposite is tangent.</u>

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
Prove 3(x+1)(x+7)-(2x+5)² is never positive
Ede4ka [16]
Hope that's correct ✍︎︎

7 0
3 years ago
Graph the piecewise-defined function
astraxan [27]

Start by graphing y = |x|. Its vertex is at (0,0), and the graph opens up.

Now translate the entire graph 4 units up. The new vertex will be at (0,4). Draw an empty circle around this point.

Darken the graph of y = |x|+4 ONLY for the part which is left of the y-axis.

Now plot a dark dot at (0,4). Draw a dark, horiz. line from that dot to the right.

That's it!

3 0
2 years ago
Read 2 more answers
find the critical t value for each of the following confidence intervals: 90% confidence interval when n = 20
Ira Lisetskai [31]
The answer is n=40 and that’s because bxndndns
6 0
2 years ago
You are training your dog to catch a frisbee. You are playing in a large field, and you are standing next to your dog when you t
sergey [27]

The paths will cross when the coordinates are (1,9) and (4, 15).

<h3>What is a model?</h3>

A model is a representation of reality. Now we have that the path of the frisbee is y = -x² + 7x + 3 while the path of the dog is  y = 2x + 7.

The both paths will cross when;

-x² + 7x + 3 = 2x + 7

-x² + 5x - 4 =0

x=1 or x=4

If x = 1, y = 2(1) + 7 = 9

If x = 4, y = 2(4) + 7 = 15

Thus the paths will cross when the coordinates are (1,9) and (4, 15).

Learn more about a model:brainly.com/question/14281845

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3 0
2 years ago
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