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Virty [35]
3 years ago
15

In ΔDEF, the measure of ∠F=90°, the measure of ∠D=66°, and EF = 32 feet. Find the length of FD to the nearest tenth of a foot.

Mathematics
1 answer:
Butoxors [25]3 years ago
7 0

Answer:

14.2 ft

Step-by-step explanation:

tan 66° = 32/ FD

FD = 32 / tan 66° = 32 / 2.246 = 14.2

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You need to buy 30 pounds of hamburger and 15 packages of buns for a staff-appreciation picnic. You have 2 options for hamburger
son4ous [18]

We have to determine the best cost after all discounts and tax.

Hamburger:

1 pound of Open Acres = $2.39

30 pounds of Open Acres = 30 \times \$2.39 = \$71.7

10% off is provided if we buy at least 10 pounds of Open Acres, we bought 30 pounds. So, we get 10% off.

10% off on 30 pounds of Open Acres Hamburgers = 10% of $71.7

= \frac{10}{100} \times 71.7 = 7.17

Total cost of 30 pounds of Open Acres Hamburgers = $71.7 - $7.17

=$64.53

Buns:

1 packet of Burly buns = $1.93

15 packets of Burly buns = 15 \times \$1.93

=$28.95

5% off on 15 packets of Burly buns = 5% of $28.95

= \frac{5}{100} \times 28.95 = \$1.4475

Total cost of 15 packets of Burly buns = $28.95 - $1.4475

=$27.50

Now, according to the question, a 10%-off coupon that can be used on either the hamburger or the buns, but not both, after any other discounts are applied.

Let us apply 10% off applied on Hamburgers:

10% of $64.53

=\frac{10}{100} \times 64.53 = \$6.453

Now, total cost of hamburgers after all the discounts = $64.53-$6.453

= $58.077

And total cost of Buns after all the discounts = $27.50

Total price of hamburgers and buns = $58.077 + $27.50

= $85.577

5% tax applied on total price of hamburgers and buns = 5% of $85.577

= $4.28

Best cost on the purchase of hamburgers and buns = $85.577 + $4.28

= $89.857

Rounding to the nearest hundredth dollar, we get

Best cost on purchase of 30 pounds of hamburgers and 15 packets of buns after all discounts and tax = $89.86

4 0
3 years ago
Read 2 more answers
WILL MARK AS BRAINLIEST I NEED HELP ASAPPP
sattari [20]

Answer:

8.9 in.

Step-by-step explanation:

Area of triangle = (1/2) b. h

40 = (1/2) x*x

80 = x^2

square root (80) = x

x=> 8.944.... inch

Rounding off you get 8.9 in.

7 0
3 years ago
Need help filling in the blanks.. also not sure if the answers i filled in are correct or not.
tino4ka555 [31]

Answer:

See below.

Step-by-step explanation:

For item 2:  

The Net Price Rate = 276 / 460 = 0.60 = 60 % (answer).

Item 3: Net Price Rate =  3247 * 100 / 3820 = 85% (answer).

Item 4 Net Price Rate =  675.11 / * 100 / 987 =  68.4%. (answer).

Item 5 Item's Net Price = 987 * 0.675 = $666.23 (answer).

Item 7 Net price Rate =  2945* 100 / 4750 = 62%. (answer).

Item 8: First find the list place $x:

0.90* 0.80 * 0.70x  = 252   ( the 0.90 , 0.80 and 0.70 come from 100 - 10% = 1 - 0.10 = 0.90  and so on)

0.504 x = 252

x = $500

Answer is List Price = $500 and Net Price Rate = 50.4%.

Item 10  List price =  2890.65 / 0.35 = $8259. (answer)

5 0
3 years ago
Which of the equations should anthony pick ?
Komok [63]

Answer:

the third answer

Step-by-step explanation:

hope it helps

7 0
3 years ago
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Given that x =4 and y= 1 over 2, find the value of 2x²- 3xy
jarptica [38.1K]

Answer:

26

Step-by-step explanation:

7 0
3 years ago
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