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3 years ago

2. Emma knows that her mix of 5 cups of orange juice to 2 cups of ginger

Mathematics

1 answer:

Naily [24]3 years ago

3 0

Answer:

11 1 /2 ( 11 and a half)

Step-by-step explanation:

If you noticed 7 and 2 are five numbers away.

To solve this I just added one to both of them until the sum was equal to 28.

If I had added one to 16 and 11, it would have given me 29, so I added a half.

That gave me 28.

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What is the measure of the angle ?

Roman55 [17]

Answer:

Answer → C) 121°

Step-by-step explanation:

» Let the wanted angle be x

${ \tt{x = 121 \degree}} \\ { \tt{ \{alternate \: angles \}}}$

4 0

2 years ago

Write an equation for the circle with endpoints of a diameter (9, 4) and (-3, -2)

inysia [295]

If the diameter is at (9,4) and (-3,-2), then the center of the circle is the midpoint of that segment.

and since we know that the radius of a circle is half of the diameter, whatever long that diameter segment is, the radius is half that.

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 9 &,& 4~) 
% (c,d)
&&(~ -3 &,& -2~)
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{ x_2 + x_1}{2}\quad ,\quad \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left( \cfrac{-3+9}{2}~~,~~\cfrac{-2+4}{2} \right)\implies \stackrel{center}{(3~,~1)}$

$\bf -------------------------------\\\\
~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 9 &,& 4~) 
% (c,d)
&&(~ -3 &,& -2~)
\end{array}
\\\\\\
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
d=\sqrt{(-3-9)^2+(-2-4)^2}\implies d=\sqrt{(-12)^2+(-6)^2}
\\\\\\
d=\sqrt{180}\qquad \qquad \qquad radius=\cfrac{\sqrt{180}}{2}$

$\bf -------------------------------\\\\
\textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{3}{ h},\stackrel{1}{ k})\qquad \qquad 
radius=\stackrel{\frac{\sqrt{180}}{2}}{ r}
\\\\\\
(x-3)^2+(y-1)^2=\left( \frac{\sqrt{180}}{2} \right)^2\implies (x-3)^2+(y-1)^2=\cfrac{(\sqrt{180})^2}{2^2}
\\\\\\
(x-3)^2+(y-1)^2=\cfrac{180}{4}\implies (x-3)^2+(y-1)^2=45$

7 0

3 years ago

Billy want to buy 12 tickets to take his friends to play. The tickets cost 2.50 each how much will billy pay for all the tickets

Studentka2010 [4]

Answer:

$30

Step-by-step explanation:

To find out how much Billy will pay, just multiply 12 and 2.50

12 x 2.50 = $30

8 0

3 years ago

Find the equation of the line. use exact numbers.

svp [43]

Answer:

y=4x -9

Step-by-step explanation:

y intercept- where the line crosses the y-axis (-9)

Rise over run- 4

6 0

3 years ago

Geometry question 2, Thanks if you help!

wlad13 [49]

A. 113 because vertical angles are congruent.

8 0

3 years ago