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pentagon [3]
3 years ago
7

19) Oranges are $2.50 per pound. Which equation shows the number of 'p

Mathematics
1 answer:
myrzilka [38]3 years ago
7 0
The answer is 2.50p=20

the oranges are 2.50 per pound (2.50p) and you have a total of $20.

hope this helps :)
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Solve for x in the picture please
Nutka1998 [239]

Answer: x=1

Step-by-step explanation:

In order to find the value of "x", it is important to remember that:

Tangent\ chord\ angle=\frac{1}{2}(Intercepted\ arc)

 We can identify in the figure that:

Tangent\ chord\ angle=(43x)\°\\\\Intercepted\ arc=AB

Then:

43x=\frac{1}{2}AB

Solving for AB:

2(43x)=AB\\\\AB=86x

Now, since there are 360° in a circle, we know that:

AB+(272x+2)=360

Then we can substitute AB=86x into AB+(272x+2)=360\° and solve for "x". This is:

(86x)+(272x+2)=360\\\\358x=360-2\\\\x=\frac{358}{358}\\\\x=1

8 0
3 years ago
Is x ^ 2 + y ^ 2 = 6 a function?
oee [108]

Answer:

not a function

Step-by-step explanation:

for example

In order for an equation to represent a function any single value of x must have at most one corresponding value of y which satisfies the equation.

For x2+y2=9

XXXXif (for example) x=0

XXXXthere are two values for y (namely +3 and −3) which satisfy the equation

and therefore the equation is not a function.

3 0
2 years ago
Calvin's school is 2.3 miles directly south of his house. After school, he takes a bus 1.8 miles directly west to the sports com
VladimirAG [237]

Answer:

2.9 miles

Step-by-step explanation:

If you draw this as a diagram, you will see that it is a right angled triangle and the missing side is the hypotenuse (the longest side). To calculate this, you will need to use the right angle law:

a^{2} + b^{2} = c^{2}

check out the document below (sorry, it's a little bit blurry)

3 0
3 years ago
A norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular. Find the dimensions of a norman
Yanka [14]

Answer:

W\approx 8.72 and L\approx 15.57.

Step-by-step explanation:

Please find the attachment.

We have been given that a norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular. The total perimeter is 38 feet.

The perimeter of the window will be equal to three sides of rectangle plus half the perimeter of circle. We can represent our given information in an equation as:

2L+W+\frac{1}{2}(2\pi r)=38

We can see that diameter of semicircle is W. We know that diameter is twice the radius, so we will get:

2L+W+\frac{1}{2}(2r\pi)=38

2L+W+\frac{\pi}{2}W=38

Let us find area of window equation as:

\text{Area}=W\cdot L+\frac{1}{2}(\pi r^2)

\text{Area}=W\cdot L+\frac{1}{2}(\pi (\frac{W}{2})^2)

\text{Area}=W\cdot L+\frac{\pi}{2}(\frac{W}{2})^2)

\text{Area}=W\cdot L+\frac{\pi}{2}(\frac{W^2}{4})

\text{Area}=W\cdot L+\frac{\pi}{8}W^2

Now, we will solve for L is terms W from perimeter equation as:

L=38-(W+\frac{\pi }{2}W)

Substitute this value in area equation:

A=W\cdot (38-W-\frac{\pi }{2}W)+\frac{\pi}{8}W^2

Since we need the area of window to maximize, so we need to optimize area equation.

A=W\cdot (38-W-\frac{\pi }{2}W)+\frac{\pi}{8}W^2  

A=38W-W^2-\frac{\pi }{2}W^2+\frac{\pi}{8}W^2  

Let us find derivative of area equation as:

A'=38-2W-\frac{2\pi }{2}W+\frac{2\pi}{8}W  

A'=38-2W-\pi W+\frac{\pi}{4}W    

A'=38-2W-\frac{4\pi W}{4}+\frac{\pi}{4}W

A'=38-2W-\frac{3\pi W}{4}

To find maxima, we will equate first derivative equal to 0 as:

38-2W-\frac{3\pi W}{4}=0

-2W-\frac{3\pi W}{4}=-38

\frac{-8W-3\pi W}{4}=-38

\frac{-8W-3\pi W}{4}*4=-38*4

-8W-3\pi W=-152

8W+3\pi W=152

W(8+3\pi)=152

W=\frac{152}{8+3\pi}

W=8.723210

W\approx 8.72

Upon substituting W=8.723210 in equation L=38-(W+\frac{\pi }{2}W), we will get:

L=38-(8.723210+\frac{\pi }{2}8.723210)

L=38-(8.723210+\frac{8.723210\pi }{2})

L=38-(8.723210+\frac{27.40477245}{2})

L=38-(8.723210+13.70238622)

L=38-(22.42559622)

L=15.57440378

L\approx 15.57

Therefore, the dimensions of the window that will maximize the area would be W\approx 8.72 and L\approx 15.57.

8 0
3 years ago
Can someone help me with a problem?
Kobotan [32]

Answer:

D

Step-by-step explanation:

5 0
3 years ago
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