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3 years ago

10

The diagram shows the number of children who have ever used motorized scooters, manual scooters, and/or bicycles. Which combinat

ion represents the empty set? motor ⋃ manual motor ⋃ bicycle motor ∩ manual motor ∩ bicycle

2 answers:

ziro4ka [17]3 years ago

4 0

D. motorcycle thats what it says on the green check one

Ira Lisetskai [31]3 years ago

3 0

D because those options do not intersect and are part of the universal set

You might be interested in

I need help with numbers 2,3,4,5,6 I need to graduate so help

Neporo4naja [7]

Answer:

2.

sinα=√3/(2√7)

cosα=5/(2√7)

tanα=5/√3

cscα=(2√7)/√3

secα=(2√7)/5

*note* you can simplify the above further (by rationalizing them), but I think it's probably fine to leave them as is *

3.) g15.9

4.)25.4

5.) 70.8

6.) 36.4

Step-by-step explanation:

Cot is the inverse of toa so cot= adj/opp

This means the traingle's adjacent side is √3 and its opposite is 5

with this information let's figure out the hypotonouse

√3²+5²=c²

3+25=c²

28=c²

√28=c

√28=2√7

which means the triangle's

opposite= √3

hypotonous= 2√7

Adjacent= 5

With all of this we can just plug in the numbers to find the missing information (where α=angle or theta)

sinα=√3/(2√7)

cosα=5/(2√7)

tanα=5/√3

cscα=(2√7)/√3

secα=(2√7)/5

For this one we have the adjacent and need the opposite

we will use TOA

Tan(25)=x/34

34tan(25)=x

x=15.9

4.) For this one we have the adjacent but need the hypotonouse

we will use CAH

cos(48)=17/x

17/cos(48)=x

x=25.4

5.) for number 5 we have the oppsite and hypotonouse and so we'll use SOH

sin(α)=17/18

α=70.8

6.) For this one we have the opposite and adjacent and so we'll use TOA

Tan(α)=(31/42)

α=36.4

8 0

3 years ago

Charra [1.4K]

Answer:

$FH=73$

Step-by-step explanation:

We are given that a segment FH and G is the midpoint of FH.

FH= $14x-4$

$FG=5x+9$

We have to find the measure of FH.

When G is the midpoint of segment FH

Then , FG=GH

$FH=FG+GH$

Segment addition property

$14x-4=FG+FG$

Substitution property

$14x-4=2FG$

$14x-4=2(5x+9)$

$14x-4=10x+18$

$14x-10x=18+4$

$4x=22$

$x=\frac{22}{4}=5.5$

Substitute the values then we get

$FG=5(5.5)+9=36.5$

$FG=GH=36.5$

$FH=14(5.5)-4=73$

8 0

2 years ago

Pls help me with this

Free_Kalibri [48]

Answer:

$\boxed{\sf \frac{15}{22} }$

Step-by-step explanation:

The radius of the circle is 7 cm.

The two legs of the triangles are 7cm as well.

Area of a trinagle is ( base × height )/2.

$\frac{7 \times 7}{2} =24.5$

Multiply the value by 2 since there are two triangles.

$24.5 \times 2 = 49$

Calculate the area of the circle.

$\pi r^2$

The radius is given.

$\pi (7)^2$

Take $\pi$ as $\frac{22}{7}$

$49(\frac{22}{7} )$

$=154$

Subtract the area of the two triangles from the area of the whole circle.

$154-49=105$

The area of the shaded part is 105 cm². The total area of the shape is 154cm².

$\frac{105}{154} =\frac{15}{22}$

5 0

3 years ago

Describe a way to check the correctness of a subtraction answer.

Tamiku [17]

Step-by-step explanation:

Well in general, we can represent subtraction as: $x-y=z$

"z" represents the difference, and it really just represents x with y taken away. So if we were to "give back" this y value, we should get "x".

This means that: $z+y=x$

So one way to check, is adding the value that's being subtracted (y value) and the difference (z value), this should get you the value that is being subtracted from (x value). If you don't get the original value that's being subtracted from (x-value) then you know the answer you got is wrong.

3 0

11 months ago

What is the scale factor?

fgiga [73]

Answer:

2

Step-by-step explanation:

Basically you don't need to find x to know the scale factor ,

but I did.So you see that multiple 3 by 2 you will get 6

(MN) and the same will happen with 5.5 and NO (which is 11 btw).

so you can write 2:1

5 0

3 years ago