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Leokris [45]
3 years ago
15

1. John and Carolyn are planning a picnic for some of their friends. In all there will be 28 people. They plan to barbecue steak

s for the meal. The recommended weight of a steak for one person is 3⁄4 pound. How many pounds of steak will they need for the picnic?
2. Most people know that one quarter of an hour is 15 minutes. Perform the appropriate calculation to prove that this is true.
Mathematics
2 answers:
Sonja [21]3 years ago
4 0

1. 28 x 3/4 = 21 kg

2. 1 hr = 60 mins

=》 1/4 hr = 60/4 = 15mins

marysya [2.9K]3 years ago
3 0

Answer:

1. Total number of people = 8

Steak required for 1 person is = \frac{3}{4} pounds

So, steak required for 28 persons will be : \frac{3}{4} \times28

= 21 pounds

2. Most people know that one quarter of an hour is 15 minutes.

One quarter is written as : \frac{1}{4} or 0.25

And 1 hour has 60 minutes.

So, one quarter has = \frac{1}{4} \times60 = 15 minutes

or 0.25\times60=15 minutes

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Answer:

x=4

Step-by-step explanation:

We can find the length of RT by using the Pythagorean theorem

sin theta = opposite side/ hypotenuse

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3 years ago
If angle EFH(5x+1)’ angle HFG(62 degrees) and angle EFG (18x+11) find each measurement
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Answer:

∠EFH = 21°

∠HFG = 62°

∠EFG = 83°

Step-by-step explanation:

The diagram showing the angles has been attached to this response.

From the diagram, it can be deduced that;

Angle EFG = angle EFH + angle HFG

=> ∠EFG = ∠EFH + ∠HFG                -------------------(i)

From the question:

∠EFH = (5x + 1)°                    -------------(ii)

∠HFG = 62°                          -------------(iii)

∠EFG = (18x + 11)°                 -------------(iv)

<em>Substitute these values into equation (i) as follows;</em>

(18x + 11) = (5x + 1) + 62

=> 18x + 11 = 5x + 1 + 62

<em>Collect like terms and solve for x</em>

18x - 5x = 1 + 62 - 11

13x = 52

x = 4

Now, to get each measurement, substitute x = 4 into each of equations (ii) - (iv)

∠EFH = (5x + 1)°

∠EFH = (5(4) + 1)°

∠EFH = (20 + 1)°

∠EFH = 21°

∠HFG = 62°              [<em>Does not depend on x</em>]

∠EFG = (18x + 11)°

∠EFG = (18(4) + 11)°

∠EFG = (72 + 11)°

∠EFG = 83°

<u>Conclusion:</u>

∠EFH = 21°

∠HFG = 62°

∠EFG = 83°

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