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SpyIntel [72]
3 years ago
5

Dimensions of the rectangle that has the given area

Mathematics
1 answer:
Arisa [49]3 years ago
6 0
This question can be tricky...

So whats given is the Area and how we can find x

Area = 100inch

The length is X inches

and width (x - 15) inches

The way to find the area is to multiply length and width

So in this problem we have to go backward

The value for X is 20 inches

The reason for this is because when you subtract 20 from 15 you get 5

⊂ 20 times 5 is 100 ⊃
 
Hope this helps!








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The radius of a circle is 4 feet. What is the length of a 90° arc? HELP ME PLEASE
Elza [17]

Answer:

6.3feet

Step-by-step explanation:

Given data

Radius= 4feet

The expression for the circumference of a circle is

C= 2πr

Substitute

C=2*3.142*4

C=25.136 feet

Also, a 90° arc is 1/4 of the circumference of a circle

Hence the length of the 90° arc is

=25.136/4

=6.284 feet

=6.3feet

4 0
3 years ago
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
A zucchini plant in Darnell's garden was 12 centimeters tall when it was first planted. Since then, it has grown approximately 0
s344n2d4d5 [400]

Answer:

(a) Find out the  a rule to describe the function.

To prove

Let us assume that the days be represted by d .

Let us assume that the height of plant be represted by y.

As given

A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.

it has grown approximately 0.5 centimeter per day.

Than the function becomes

y = 12 + 0.5 × d

y = 12 + 0.5d

(b) Find out after how many days will the zucchini plant be 0.195 meter tall .

To prove

Let us assume that the days be represted by d .

As given

A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.

it has grown approximately 0.5 centimeter per day.

As

1meter = 100cm

0.195 meter convert into centimeter.

= 19.5cm

Than the equation becomes

12 + 0.5d = 19.5

0.5d = -12 + 19.5

0.5d = 7.5

d = 7.5/10

d = 15 days

Therefore 15 days will the zucchini plant be 0.195 meter tall .

7 0
3 years ago
What is the sum of the areas of circle C and circle D?
Yanka [14]

Answer:

98pi

Step-by-step explanation:

Area of circle: pi(r)^2

A1=pi(7)^2

A2=pi(7)^2

A2+A1=98pi

4 0
3 years ago
Given brainliest answer
Lerok [7]

Answer:

f(n)=4n-1

Step-by-step explanation:

have a great day

4 0
4 years ago
Read 2 more answers
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