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galben [10]
4 years ago
6

Help me with this problem!

Mathematics
1 answer:
Vanyuwa [196]4 years ago
7 0

Answer:

a. 208.5 ft.

b. 144.9 ft.

Both correct to the nearest tenth.

Step-by-step explanation:

(a) sin 46 = 150 / h where h is the length of the wire.

h = 150/ sin 46

= 208.5 ft.

(b) tan 46 = 150 / x where x is the distance required.

x = 150 / tan 46

x = 144.9 ft.

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2. A square-based tent has the cross-sectional
ollegr [7]

(a) Length of the height is 2.732 m

(b) Length of the base is 5.466 m

<u>Explanation:</u>

An image is attached for reference.

(a)

In ΔAOB,

sin 30^o = \frac{AO}{AB} \\\\0.5 = \frac{AO}{2} \\\\AO = 1 m

In ΔBGD,

sin 60^o = \frac{BG}{BD} \\\\0.866 = \frac{BG}{2} \\\\BG = 1.732 m

According to the figure, BG = OE = 1.732 m

Height of the tent, AE = AO + OE

                                  = 1 m + 1.732 m

                                  = 2.732 m

(b)

DF = ?

In ΔAOB,

tan 30^o = \frac{AO}{OB} \\\\0.577 = \frac{1}{OB} \\\\OB = 1.733 m\\\\\\

According to the figure, OB = GE = 1.733 m

In ΔBGD,

tan 60^o = \frac{BG}{DG} \\\\1.732 = \frac{1.732}{DG}\\ \\DG = 1m

According to the figure, DE = DG + GE

                                      DE = 1 m + 1.733 m

                                     DE = 2.733 m

Length of the base, DF = 2 X DE

                              DF = 2 X 2.733 m

                               DF = 5.466 m

8 0
3 years ago
Easy 100 points, plz answer ASP! Please include an explanation!!
valina [46]

Answer:

The third option

Step-by-step explanation:

the most reasonable

6 0
3 years ago
Read 2 more answers
Which is always a cost when buying insurance
Levart [38]

Answer:

premium

Step-by-step explanation:

6 0
3 years ago
ANSWER NEEDED QUICK
natita [175]

Answer:

$12.73/lb

Step-by-step explanation:

To determine price per lb, divide dollar amount by lbs.

- Company A sells 2 1/2lbs (2.5lbs) for $32.50

So, Company A's price / lb = ($32.50/2.5lbs) = $13.00/lb


- Company B sells 2 3/4lbs (2.75lbs) for $35.00

And, Company B's price / lb = ($35.00/2.75lbs) = $12.73/lb


Therefore, Company B is offering the lowest price/lb at $12.73/lb.

5 0
4 years ago
Read 2 more answers
If f(x) = 5x-2, what is (x)?
LiRa [457]

Answer:

x= 0.4, or x = 2/5

Step-by-step explanation:

To find x you have to replace f(x) with 0 and solve for x

Hope this helps:)

4 0
3 years ago
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