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ira [324]
3 years ago
10

Work out the size of angle x

Mathematics
2 answers:
marin [14]3 years ago
3 0

Answer:

129°

Step-by-step explanation:

marishachu [46]3 years ago
3 0

Step-by-step explanation:

soln,

51°+x=180°[exterior angles]

or,x=180°-51°

or,x=129°

•°•x=129°

hope it helps

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A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the
d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

Trees = 24

Yield = 104

x \to additional\ trees

So, we have:

Trees = 24 + x

Yield = 104 - 2x

Required

The additional trees to be planted for maximum yield

The function is:

f(x) = Trees * Yield

f(x) = (24 + x) * (104 - 2x)

Open bracket

f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x

f(x) = 2796 + 104x - 48x - 2x^2

f(x) = 2796 + 56x - 2x^2

Rewrite as:

f(x) = - 2x^2 + 56x + 2796

Differentiate

f'(x) = -4x + 56

Equate f'(x) = -4x + 56 to 0 and solve for x to get the maximum of x

-4x + 56 = 0

-4x =- 56

Divide by -4

x =14

The farmer should plant 14 additional trees, for maximum yield.

5 0
3 years ago
If I buy 3 4/5kg of cherries and 2 1/4 of strawberry's what is the Mass kilograms of fruit
lisov135 [29]
If you would like to know how many kilograms of fruit do you have, you can calculate this using the following steps:

3 4/5 kg of cherries + 2 1/4 kg of strawberries = 3 4/5 + 2 1/4 = 19/5 + 9/4 = 76/20 + 45/20 = (76 + 45) / 20 = 121/20 = 6 1/20 kg of fruit

The correct result would be 6 1/20 kilograms of fruit.
3 0
3 years ago
An astronaut who weighed 150 pounds on Earth found that his weight on Jupiter was 400 pounds. He captured an alien that weighed
Andrews [41]
The alien would be about 20 LBS on the earth
3 0
3 years ago
What is the sum of all the positive integers from <br> √<br> 24<br> to <br> √<br> 102<br> ?
Eva8 [605]

Answer:

The sum of all positive integers is

5 + 6 + 7 + 8 + 9 + 10

              = <em>45</em>

Step-by-step explanation:

Because \sqrt{24} = 4.89 and \sqrt{102} = 10.09

So positive numbers between 4.9 and 10.09 are

 <em>5+6+7+8+9+10 = 45</em>

<em />

<em>Brainliest will be appreciated.</em>

7 0
3 years ago
A credit card company applies a 6% fee on all transactions under $10. You purchased coffee for $4.80. What fee amount will be ap
Romashka [77]

Answer:

$5.08

Step-by-step explanation:

Step one:

given data

We are told that a credit card company applies a 6% fee on all transactions under $10

since the cost of coffee bellow $10 that is $4.80, the 6% fee is applicable

so

=6% of 4.80

=6/100*4.80

=0.06*4.8

=$0.288

Step two:

the total fee will be

=0.288+4.80

= $5.08

7 0
3 years ago
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