All categories

2 years ago

You spin the spinner twice.

Mathematics

1 answer:

Shtirlitz [24]2 years ago

5 0

Answer:33% or in fraction form 33/100.

Step-by-step explanation:

You might be interested in

Two points A (-2, 9) and B (4, 8) lie on a line l. (i) Find the slope of the line l. (ii) Find the coordinates of the midpoint o

blagie [28]

Answer:

$m=-\frac{1}{6} \approx -0.1667$

$M=(1,\frac{17}{2} )=(1,8.5)$

$d=\sqrt{37} \approx 6.083$

Step-by-step explanation:

(i) For two different points on a line, the slope m is defined as the difference on the y-axis divided by the difference on the x-axis:

$m=\frac{\Delta y}{\Delta x} =\frac{y_2-y_1}{x_2-x_1}$

Where:

$(x_1,y_1)=(-2,9)\\\\(x_2 , y_2)=(4,8)$

So:

$m=\frac{8-9}{4-(-2)} =\frac{-1}{6} \approx -0.1667$

(ii)

To find the coordinates of the midpoint, you can use the following formula:

$M=(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )$

Therefore:

$M=(\frac{-2+4}{2} , \frac{9+8}{2} )=(\frac{2}{2} , \frac{17}{2} ) =(1,8.5 )$

(iii) The distance between two points is given by the following formula:

$d=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2} }$

Hence:

$d=\sqrt{(4-(-2))^{2}+(8-9)^{2} } =\sqrt{(6)^{2}+(-1)^{2} } =\sqrt{36+1} =\sqrt{37} \\\\d\approx 6.083$

8 0

3 years ago

Find the value of y.

Leno4ka [110]

Answer:

$\sqrt{55}$

Step-by-step explanation:

Based off of what we do know, if we can find length DB we can use the pythagorous theorem (I will be assigning the variable z)

$x^{2} =36+z^{2} \\\\y^{2}=25+z^2\\\\x^{2} +y^2=121\\\\$

First equation is for triangle ABD

Second is for BCD

And the last one is for ACD

Substitute $x^{2}$ and $y^2$

$36+z^2+25+z^2=121\\\\61+2z^2=121\\\\2z^2=60\\\\z^2=30\\\\z=\sqrt{30}$

As discovered before

$y^2=25+z^2\\\\y^2=25+30\\\\y^2=55\\\\y=\sqrt{55}$

8 0

3 years ago

I’m in need of help.

Alexxx [7]

I think the answer is b.

3 0

3 years ago

Make a table of ordered pairs for the equation.

galina1969 [7]

Answer: it is +3and +3

Step-by-step the answer would be explanation:

trust me i did test ! and got an a

5 0

2 years ago

Aeryn spent 5 days building a

Zarrin [17]

Aeryn laid 12 bricks on her first day.
12+16=28, 28+20=48, 48+24=72, 72+28=100
Day 1: 12
Day 2:28
Day 3:48
Day 4:72
Day 5:100

3 0

3 years ago