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makvit [3.9K]
3 years ago
9

In ΔEFG, the measure of ∠G=90°, the measure of ∠E=20°, and GE = 75 feet. Find the length of EF to the nearest tenth of a foot.

Mathematics
1 answer:
LenKa [72]3 years ago
7 0

Answer:80 feet

Step-by-step explanation:

Sum of < in a triangle is 180°

<G + <E + <F=180°

90 + 20 + < F = 110

< F = 70°

Using sine rule

sin G\EF = sin F\EG

sin90°\EF = sin70°\75

EF = 75sin90°\sin70°

= 79.81

=80 to the nearest tenth feet.

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If you add 10 grams of sugar into 30 grams of 20 % sugar syrup, you will make ____ grams of ____% sugar syrup.
kompoz [17]

Answer:

40 grams of 40% sugar syrup

Step-by-step explanation:

20% of 30 grams = 6grams of sugar

6 grams + 10 grams = 16 grams of 40% instead of 30 now

Therefore, 40g----------100%

                  16g-----------40%

7 0
2 years ago
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Kim purchased a dress that was originally $35. It was on sale for 30% off. She also bought a pair of shoes for 1/2 off the origi
LUCKY_DIMON [66]

Answer:  $34.32

Step-by-step explanation: We first calculate the price of the dress that was on sale. 30% of 35 is 35/10 x3. This is equal to 3.5x3 which is 7+3.5 = 10.5 We subtract this from 35 to get $24.5. So, the dress cost $24.5. Next 1/2 of 17 is 8.5. In total, the items cost $24.5+$8.5 = $33. Then, there is a 4% sales tax we have to add on to 33. 1% of 33 is 33/100 which is 0.33. This time 4 is 1.32. 33+1.32 is 34.32.

5 0
1 year ago
Using the graph below, what is the best estimate of month 7's average temperature if the equation for the line of best fit is y
defon

Substitute x to be 7 (for month 7) and work out the equation:

y = -13(7) + 111

y = -91 + 111

y = 20

Your answer is 20 degrees Fahrenheit.

5 0
3 years ago
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A group of retailers will buy 104 televisions from a wholesaler if the price is $300 and 144 if the price is $250. The wholesale
stepladder [879]

Answer:

The required equilibrium point is (356.538,58.769)

Step-by-step explanation:

The two points on your demand equation are : (300,104) and (250,144)

Take the number of televisions on y-axis and the price of the television on x-axis

Now, to find the demand equation for the given problem, find slope using the above two points :

\implies Slope=\frac{144-104}{250-300}\\\\\implies Slope = -\frac{4}{5}=-0.8

And the y - intercept is : y = -0.8x + b

Find the value of b using any point. Let us take (250,144)

144 = -0.8 × 250 + b

⇒ b = 144 + 200

⇒ b = 344

So, the y-intercept is : y = -0.8x + 344

The two points on your supply equation are : (225,88) and (315,68)

Take the number of televisions on y-axis and the price of the television on x-axis

Now, to find the supply equation for the given problem, find slope using the above two points :

\implies Slope=\frac{68-88}{315-225}\\\\\implies Slope = -\frac{2}{9}

And the y - intercept is :

y = -\frac{2}{9}x + b

Find the value of b using any point. Let us take (225,88)

88 = -\frac{2}{9}\times 225 + b\\\\\implies b = 88 + 50\\\\\implies b = 138

So, the y-intercept is :

y = -\frac{2}{9}x + 138

To find the equilibrium point, solve both the y-intercepts of the demand equation and the supply equation :

⇒ x = 356.538 and y = 58.769

Hence, the required equilibrium point is (356.538,58.769)

8 0
2 years ago
70:100 in whole form
taurus [48]
The Answer Would Be 70
6 0
2 years ago
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