Line / is shown on the graph below. If another line is drawn, perpendicular to line I, what must be its slope?

Answer:

0.45

Explanation:

the total probability of the spinner landing on red, blue or green is 0.20 + 0.12 + 0.08 = 0.40. thus, the remaining probability of the spinner landing on orange or pink is 1 - 0.40 = 0.60.

since the probability that the spinner will land on orange is three times that of pink, we can divide 0.60 by 3 + 1 to find the probability of it landing on pink:

0.60 ÷ 4 = 0.15

now, we can multiple this by 3 to find the probability that the spinner will land on orange:

0.15 × 3 = 0.45

i hope this helps! :D

Answer: 9/80

Step-by-step explanation:

Answer:

top one, yes. by the SSS theorem

bottom one, no. The bases are not congruent

Step-by-step explanation:

Answer:

45 meters

Step-by-step explanation:

so if i divided 9  by 3 it's 3 meters per sec then i times 15 by 3 equals 45

Answer: 20.6

Step-by-step explanation:

Answer:

Both of their bases are parallel

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

As they are similar corresponding sides are in the same proportion so

3/2 = BC/3

2BC = 3*3

2BC = 9

BC = 4.5.

3/2 = 5/DF

3DF = 2*5

DF = 2*5 / 3

= 3.33...

Perimeter of ABC = 3 + 4.5 + 5 = 12.5.

Perimeter of DEF =  2 + 3 + 3.33.. = 8.33...

Answer:

BC = 4.5 cm

DF = 10/3 cm

Step-by-step explanation:

Corresponding sides of similar triangles are in same ratio

[tex]\frac{BC}{EF}=\frac{AB}{DE}\\\\\frac{BC}{3} =\frac{3}{2}\\\\BC = \frac{3}{2}*3\\\\BC = \frac{9}{2}\\\\BC = 4.5 cm[/tex]

[tex]\frac{DF}{AC}=\frac{DE}{AB}\\\\\frac{DF}{5}=\frac{2}{3}\\\\DF = \frac{2}{3}*5\\\\DF = \frac{10}{3}[/tex]

Perimeter of ΔABC = 3 + 5 +4.5 = 12.5cm

Perimeter of ΔDEF = 2 + 3 + 3.3 = 8.3 cm

Recall the double-angle identity,

sin²(x) = (1 - cos(2x)) / 2

Now if sin(12°) = k, then

k ² = sin²(12°) = (1 - cos(24°)) / 2

→   cos(24°) = 1 - 2k ²

Answer:

− ( x ^2 − 4 x − 1 )

Step-by-step explanation:

Answer: [tex]\$107.82[/tex]

Step-by-step explanation:

Given

The cost of paint is [tex]\$29.95\text{per gallon}[/tex]

Nikki need [tex]3.6[/tex] gallons of paint

So, the cost of the paint is the product of the rate and volume of paint

Put the values

[tex]\Rightarrow 3.6\times 29.95=\$107.82[/tex]

Answer:

Step-by-step explanation:

Here we can see

Arc YZ = Arc XZ

So we know that equal arcs form equal chords , Then

Chord YZ = Chord XZ

8x - 5 = 6x + 10

8x - 6x = 10 + 5

2x = 15

x = 7.5

hope it helps :0

Answer:

1) X=6

2)X=17

3)X=[tex]\frac{9}{8}[/tex]

Step-by-step explanation:

Answer:

1. x = 6

2. x = 17

3. x = 9/8

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

A ratio is not necessarily a comparison between quantities with different units, quantities with the same units can be in a ratio in mathematics.

Answer:

C: y < 3x + 2

Answer:

Step-by-step explanation:

I think the answer is C not really sure..

The solution is, Rounding off 245,675 to the nearest hundred thousand is: 246000.

Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.

here, given that,

Round 245,675 to the nearest hundred thousand

we know,

Anything at or above 50 gets rounded up.

49 and below gets rounded down.

so, we get,

here, to the nearest hundred thousand means 675 > 500

so, it will be 5,675 => 6000

we have,

Rounding off 245,675 to the nearest hundred thousand is:

246000

Hence, The solution is, Rounding off 245,675 to the nearest hundred thousand is: 246000.

To learn more on round off click:

brainly.com/question/29348203

#SPJ2

Answer:

solution given:

similar cylinders ratio 1:3

let the ratio be 1x and 3x respectively:

according to the question:

x/3x=volume of (smaller cylinder/big cylinder)

Volume of big Cylinder=67cm³×3=201cm3

201cm³ is your answer

Answer:

90

Step-by-step explanation:

90/10= 9

90/5= 18

No number larger than 90 would work.

Answer:

28

Step-by-step explanation:

Just count the grids

Answer:

D

Step-by-step explanation:

Decimal = "and"

2 decimal places = "hundredths"

Answer:

Surface area for no.6 is =178

Volume =132

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

Answer:

$692.72

Step-by-step explanation:

Given data

The total area of tile = 260 squared feet

cost per squared foot of tile= $2.49

Hence the total for 260 squared feet cost will be

=260*2.49

=$647.4

Let us find the amount of 7% Tax

=7/100*647.4

=0.07*647.4

=$45.318

Hence the amount spent in all is

=45.318+647.4

=$692.72

Answer:

(–8, 1), (8, –8)

Step-by-step explanation:

Answer:

(-8, 1), (8, -8) has a negative slope

Step-by-step explanation:

1). y2 - y1 / x2 - x1

7 - 9 / 5 - 6

= 2

2). y2 - y1 / x2 - x1

6 - (-2) / 3 - (-9)

= 2/3

3). y2 - y1 / x2 - x1

-8 - 1 / 8 - (-8)

-9/16

4). y2 - y1 / x2 - x1

-9 - (-8) / -1 - 2

= 1/3

Answer:

.1km

Step-by-step explanation:

The tractor can move .01 km in a second so 10 times .01 is .1

so the tractor can move .1km every 10 seconds

1 hour = 3600 seconds

10 seconds is 10/3600 = 1/360 of an hour

36 km per hour x 1/360 of an hour = 0.1 km (100 meters)

Answer:

Step-by-step explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 9.8 m/s²

We have

PE = 500 × 9.8 × 4

We have the final answer as

Hope this helps you

Given:

When establishing the internet service, there was an initial fee as well as a monthly fee on the contract.

The given function is:

[tex]c(m)=35m+40[/tex]

To find:

The cost of internet service if they began service in March 2020.

Solution:

We have,

[tex]c(m)=35m+40[/tex]

We need to find the internet service cost for the first month. So, substitute [tex]m=1[/tex] in the given function.

[tex]c(1)=35(1)+40[/tex]

[tex]c(1)=35+40[/tex]

[tex]c(1)=75[/tex]

Therefore, the cost of internet service is 75 if they began the service in March 2020.