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3 years ago

This is for an exam please help IM LITERALLY GIVING YOU ALL OF MY POINTS!!!

Mathematics

2 answers:

Ymorist [56]3 years ago

8 0

Answer:

The equations should have been added up to equal 180 instead of being set to equal each other. The two are supplementary angles, which can be seen due the rule that a pair of interior angles on the same side of the transversal is supplementary. To fix this issue from the work that they did, they should subtract the 140 from 180, so the correct measure of DKH is actually 40 degrees.

Step-by-step explanation:

yawa3891 [41]3 years ago

3 0

Answer:

Which class are you in presently

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A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft and on the other three s

makvit [3.9K]

Answer:

The dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

Step-by-step explanation:

Let the length of garden be x

Let the breadth of garden be y

Area of Rectangular garden = $Length \times Breadth = xy$

We are given that the area of the garden is 122 square feet

So, $xy=122$ ---A

A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft

So, cost of brick along length x = 20 x

On the other three sides by a metal fence costing $10/ft.

So, Other three side s = x+2y

So, cost of brick along the other three sides= 10(x+2y)

So, Total cost = 20x+10(x+2y)=20x+10x+20y=30x+20y

Total cost = 30x+20y

Substitute the value of y from A

Total cost = $30x+20(\frac{122}{x})$

Total cost = $\frac{2440}{x}+30x$

Now take the derivative to minimize the cost

$f(x)=\frac{2440}{x}+30x$

$f'(x)=-\frac{2440}{x^2}+30$

Equate it equal to 0

$0=-\frac{2440}{x^2}+30$

$\frac{2440}{x^2}=30$

$\sqrt{\frac{2440}{30}}=x$

$9.018 =x$

Now check whether it is minimum or not

take second derivative

$f'(x)=-\frac{2440}{x^2}+30$

$f''(x)=-(-2)\frac{2440}{x^3}$

Substitute the value of x

$f''(x)=-(-2)\frac{2440}{(9.018)^3}$

$f''(x)=6.6540$

Since it is positive ,So the x is minimum

Now find y

Substitute the value of x in A

$(9.018)y=122$

$y=\frac{122}{9.018}$

$y=13.528$

Hence the dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

4 0

3 years ago

How do I simplify fractions and decimals?

Mila [183]

Answer:

Divide both the numerator and denominator by the largest number that divides evenly into both to simplify the fraction

In the example, divide 2 by 2, which equals 1, and divide 20 by 2, which equals 10. This leaves 1/10, which is the simplified form of the fraction with a decimal.

Step-by-step explanation:

6 0

3 years ago

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Mrs. Lopez cut 46 cm of yarn miss Hamilton cut 22 cm less than Miss Lopez how many centimeters of yarn does Miss Hamilton cut

Tcecarenko [31]

Answer: 24 cm

Step-by-step explanation:

Mrs Lopez cut 46cm of yarn.

Miss Hamilton then cut 22cm less than what Mrs Lopez had cut.

Mrs. Hamilton must have therefore cut:

This is a case of subtraction:

= 46 - 22

= 24 cm

5 0

3 years ago

BRO SOMEONE PLEASE HELP ME OUT BRO I FR NEED SOME HELP. HOW DO YOU DO THIS

Finger [1]

Answer:

there you go bro. 168 degrees for each angle

Step-by-step explanation:

To calculate the central angle visualize a circle in the center of the polygon. A circle has 360 degrees. Divide 360 by the number of sides and that will tell you the central angle size. So 360 divided by 30 equals 18 degrees.

To find the base angle use this formula

180(n-2)/n where n is the number of sides of a regular polygon.

When you plug in 30 for n

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3 years ago

Six less than twice a number is equal to 90

luda_lava [24]

2x-6=90 would be the answer

3 0

3 years ago

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