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sladkih [1.3K]
1 year ago
13

In the scale drawing, what will the length of the west side of the backyard?

Mathematics
1 answer:
Shtirlitz [24]1 year ago
7 0

The diagram shows a lawn with the north side measuring 50 units and the west side measuring 28 units. The deck is scaled down by a factor of 1/5.

This is because the ratio of the length of the lawn to that of the deck is 1 : 5.

Hence we can now ca

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Plz help me with this...there might be errors in this but I'm not sure ​
Flura [38]

Step-by-step explanation:

1.  cot(A − B)

From angle sum/difference equations, we know this equals:

cot(A − B) = (cot A cot B + 1) / (cot B − cot A)

But we also know it equals:

cot(A − B) = 1 / tan(A − B)

cot(A − B) = (1 + tan A tan B) / (tan A − tan B)

Setting the two equal to each other:

(cot A cot B + 1) / (cot B − cot A) = (1 + tan A tan B) / (tan A − tan B)

Writing tangent in terms of cotangent:

(cot A cot B + 1) / (cot B − cot A) = (1 + 1 / (cot A cot B)) / (tan A − tan B)

(cot A cot B + 1) / (cot B − cot A) = ((cot A cot B + 1) / (cot A cot B)) / (tan A − tan B)

(cot A cot B + 1) / (cot B − cot A) = (cot A cot B + 1) / ((cot A cot B) (tan A − tan B))

Divide both sides by the numerator:

1 / (cot B − cot A) = 1 / ((cot A cot B) (tan A − tan B))

Take inverse of both sides:

cot B − cot A = (cot A cot B) (tan A − tan B)

Solve for cot A cot B:

cot A cot B = (cot B − cot A) / (tan A − tan B)

cot A cot B = a / b

Now substitute into the first angle difference equation we wrote earlier:

cot(A − B) = (cot A cot B + 1) / (cot B − cot A)

cot(A − B) = (a / b + 1) / a

cot(A − B) = (a / b) / a + 1 / a

cot(A − B) = 1 / b + 1 / a

2. cos A / (1 ± sin A)

From angle sum/difference formulas, we know:

sin (90 ± A) = cos A

cos (90 ± A) = ∓ sin A

Substituting:

sin (90 ± A) / (1 − cos (90 ± A))

From half angle formula, this equals:

cot (45 ± A/2)

Using reflection:

-cot (-45 ∓ A/2)

And finally, phase shift:

tan (-45 ∓ A/2 + 90)

tan (45 ∓ A/2)

Check that you wrote the problem correctly.  Looks like you switched ∓ with ±.

8 0
3 years ago
Hong will run at least 24 miles this week. So far, he has run 16 miles. What are the possible numbers of additional miles he wil
Anna71 [15]
Answer:
8 miles

Steps:
Since he is AT LEAST running 24 miles and he already ran 16. He only had 8 more miles to go. 24 miles is the minimum he is running, he could run more.
4 0
2 years ago
at the end of the day vegetables at farm market sell for $2.00 a pound and a bakery costs $3.50. if Charlene wants to buy a bask
9966 [12]
10=2x+3,50 |-3,50
6,50=2x |:2
3,25=x

10=2x+7 |-7
3=2x |:2
1,5=x

You didnt say how many bakery she wants to buy, so i did one inequality for 1 bakery anderen for the maximum of 2.
8 0
3 years ago
Give a brief general description of the number of degrees of freedom.
Softa [21]

Answer: it is a

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A bee beats its wings 250 times each second what is the average time for a single beat of a bee's wing
eduard
No. Of times bee beats in 1 sec=250
Average time =?
Frst find how many times bee beats in 1 min.
No. Of times bee beats in 1 min= 250*60=15000
Average time= 15000/ 250
Average time=60 times
3 0
3 years ago
Read 2 more answers
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