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3 years ago

how many ways are there to adjust two quantities so that they are in a given proportional relationship? Explain your reasoning.

1 answer:

7 0

The question is, "how many ways ...".

There are as many ways to solve a math problem as you can think of. (Some are shorter or easier than others.)

Essentially, an infinite number.

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Domino's Pizza cuts their Large pizza into 8 equal slices. What is the area of one of the slices if diameter is 16 inches?

Ksju [112]

Answer:

25.1325

Step-by-step explanation:

16/2= radius of 8. pi*r^2 for 8 is 201.06. 201.06/8(slices) = 25.1325

6 0

2 years ago

Read 2 more answers

Find the missing side . round the the nearest tenth

lys-0071 [83]

$S\frac{O}{H} C\frac{A}{H} T\frac{O}{A}$

$Sin=\frac{Opposite}{Hypotenuse} Cos=\frac{Adjacent}{Hypotenuse} Tan=\frac{Opposite}{Adjacent}$

7) You have the opposite. You need the adjacent.

$Tan=\frac{Opposite}{Adjacent}$

$Tan57=\frac{12}{x}$

$x=\frac{12}{Tan57}$

x = 7.79289... =

8) You have the hypotenuse. You need the Opposite.

$Sin=\frac{x}{Hypotenuse}$

$Sin37=\frac{x}{13}$

x = sin37 × 13

x = 7.8235... =

9) You have the hypotenuse. You need the opposite.

$Sin=\frac{x}{Hypotenuse}$

$Sin59=\frac{x}{11}$

x = sin59 × 11

x = 9.4288.... =

10) You have the hypotenuse. You need the opposite.

$Sin=\frac{x}{Hypotenuse}$

$Sin53=\frac{x}{11}$

x = sin53 × 11

x = 8.7459.... =

7 0

3 years ago

The sum of an acute angle and an obtuse angle is an acute angle always sometimes or never true ???

xxTIMURxx [149]

Answer:

Never

Step-by-step explanation:

Adding together an obtuse angle (greater than 90°) and acute angle (less than 90°) should result in an obtuse angle every time

6 0

3 years ago

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Helppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

maks197457 [2]

What you must do in this case is to find the roots of the polynomial.
We have then:
x ^ 2 + 20x + 100 = 36
Rewriting:
x ^ 2 + 20x + 64 = 0
The values of the roots are:
x1 = -4
x2 = -16
Remember that the values of the roots are what make the polinome zero
Answer:
x1 = -4
x2 = -16

3 0

3 years ago

Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the

Rama09 [41]

<em><u>Question:</u></em>

Britney throws an object straight up into the air with an initial velocity of 27 ft/s from a platform that is 10 ft above the ground. Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the object to hit the ground?

1s 2s 3s 4s

<em><u>Answer:</u></em>

It takes 2 seconds for object to hit the ground

<em><u>Solution:</u></em>

<em><u>The given equation is:</u></em>

$h(t) = -16t^2 + v_0t+h_0$

Initial velocity = 27 feet/sec

$h_0 = 10\ feet$

Therefore,

$h(t) = -16t^2 +27t+10$

At the point the object hits the ground, h(t) = 0

$-16t^2 +27t+10 = 0\\\\16t^2-27t-10=0$

Solve by quadratic formula,

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=16,\:b=-27,\:c=-10:\quad \\\\t=\frac{-\left(-27\right)\pm \sqrt{\left(-27\right)^2-4\cdot \:16\left(-10\right)}}{2\cdot \:16}\\\\t = \frac{27 \pm \sqrt{1369}}{32}\\\\t = \frac{27 \pm 37}{32}\\\\We\ have\ two\ solutions\\\\t = \frac{27+37}{32}\\\\t = \frac{64}{32}\\\\t = 2\\\\And\\\\t = \frac{27-37}{32}\\\\t = -0.3125$

Ignore, negative value

Thus, it takes 2 seconds for object to hit the ground

7 0

3 years ago