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2 years ago

In AEFG, e = 9.8 cm, f = 3 cm and G=167º. Find the length of g, to the nearest 10th

Mathematics

1 answer:

sveta [45]2 years ago

8 0

Answer:

g = 12.7 cm

Step-by-step explanation:

Here, we want to find the length of the side g

To do this, we shall employ the use of the cosine rule

Mathematically, by using the general form of the rule, we have it that ;

g^2 = e^2 + f^2 -2efCosG

So we have;

g^2 = (9.8)^2 + (3)^2 - 2(9.8)(3) cos 167

g^2 = 162.33

g = √162.33

g = 12.7

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Someone answer this please

irina [24]

Answer:

y = - 27/5

Step-by-step explanation:

4(3) - 5y = 39

12 - 5y = 39

-5y = 39 - 12 = 27

y = - 27/5

7 0

2 years ago

Monica and Michael both want to buy a scooter. Monica has already saved $25 and plans to save $5 per week. Michael has $16 and p

Anna71 [15]

3 weeks

Step-by-step explanation:

To find the number of weeks, we have to equate the amount already saved and planned to save by both each week.

So we can write the expression as,

Let w be the number of weeks.

25 + 5w =16 + 8w

Grouping the terms as,

25 - 16 = 8w - 5w

9 = 3w

Dividing both sides by 3, we will get,

3w/3 = 9/3

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So number of weeks = 3

5 0

2 years ago

Determine the constant of variation for the direct variation given. Type a numerical answer in the space provided.

Andreyy89

Answer:

B. 4

Step-by-step explanation:

Determine the constant of variation for the direct variation given.

(0, 0), (3, 12), (9, 36)

A. 3

B. 4

C.12

Direct variation is given by:

y = kx

Where,

k = constant of variation

(3, 12)

x = 3; y = 12

y = kx

12 = k*3

12 = 3k

k = 12 / 3

k = 4

(9, 36)

x = 9; y = 36

y = kx

36 = k * 9

36 = 9k

k = 36 / 9

= 4

k = 4

Constant of the variation = 4

5 0

2 years ago

Will Mark Brainliest!!!!!!

astraxan [27]

You want to find the value of x for which the area under the curve to the left of x is 0.6. One way to do that is to create the cumulative distribution function (CDF) for the given PDF, then see where it is equal to 0.6.

Doing that, we find a = 5.

5 0

2 years ago

A farm packages eggs into cartons that hold two dozen eggs each. Last week, 5,398 eggs were collected. How many cartons will the

Sonbull [250]

Answer:

225

Step-by-step explanation:

We're told that each carton holds two dozen eggs, or 24 eggs. To find out how many cartons the farm will need, we divide the total amount of eggs by the amount of eggs that fit in each carton. So:

$\frac{5398}{24} = 224.916667$

Since the number is a decimal, you need to round up to make sure every egg is in a carton. So, your answer is 225.

4 0

2 years ago