Answer:
<u>5/8</u>
Step-by-step explanation:
So, let's do the first one first.
You want to make the fraction have the same denominator (bottom number). So, in this case, we have 3/8 and 3/4. If we want them to have the same bottom number, we keep 3/8 how it is, and multiply 2/2 by the 3/4 to get 6/8. So, now we have 3/8 + 6/8. 3/8 + 6/8 = 9/8.
Now, we have 1/3 + 1/6. So, we are going to do the same thing, keep the 1/6, and multiply 1/3 by 2/2, so that the bottom number is equal to the other fraction's bottom number. So, 1/3 x 2/2 = 2/6. Now, we have the equation 2/6 + 1/6. 2/6 + 1/6 = 3/6.
Now, we have this final equation: 9/8 - 3/6. So, now we need to find the denominator that both of them can deal with. So, in this case, we can do 24.
9/8 x 3/3 = 27/24
3/6 x 4/4 = 12/24
Now, we subtract:
27/24
- 12/24
_______
15/24.
Now, we simplify.
15 divided by 3 = 5.
24 divided by 3 = 8
So, <u>5/8</u> is our final answer.
p → q represents the original conditional statement and the contrapositive of the original conditional statement. Then the correct options are A and E.
The missing options are given below.
<h3>What is dilation?</h3>
Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
Doubling the dimensions of a rectangle increases the area by a factor of 4.
If p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4.
Then the true statement will be
Then the correct options are A and E.
More about the dilation link is given below.
brainly.com/question/2856466
#SPJ1
Answer:
33.2444...
Step-by-step explanation:
The rate of charge is $22 per 90 feet, so first we need to find out how many feet the perimeter takes up. To find the perimeter, we distribute 2 to both sides will adding them. 2(20 + 38) The 2 is there since that only covers 2 out of the 4 lines of a rectangle. Now we do the math as mentioned. 2(30 + 38)
The answer to that would be 136 feet. Now to figure out the cost, we use 22 to see how many 90's can fit into 136 so we can get the rate needed, which is (1.511111..). Thats how many times 90 goes into it, and for every 90 feet, we pay $22, So now we multiply 1.51111 by 22 to get the answer. (33.244444)
Answer:
Step-by-step explanation:
When a tangent line is drawn from Q to Z and then from Q to R, what happens that is the length of QZ and QR are the same. So if QZ = 10, the QR = 10. The same occurs at every point outside the circle where a tangent line is drawn from that point to the circle. We are told that YX is 9. That means that YZ is also 9. If XW is 9, then WV is also 9. Here's where the tricky part is. We are given the whole side length of UW as 17, but we need to know each individual part so we can eventually find the length of RS. So we'll keep going the way we were. If XW = 9, the WV = 9. That means that UV is 17 - 9 or 8. So UV = 8. That means that TU is also 8. THAT means that ST is 10 - 8 or 2. And if ST is 2, then RS is also 2. Let's add it all together now:
QZ + ZY + YX + XW + WV + VU + UT + TS + SR + RQ
10 + 9 + 9 + 9 + 9 + 8 + 8 + 2 + 2 + 10 = 76
Answer:
The hyperbola has two directrices, one for each side of the figure. You can see the hyperbola as two parabolas in one equation. So, as parabolas have directrix, hyperbolas does too.
The directrices are perpendicular to the major axis. That means if the parabolla is horizontal, then its directrices are vertical, and viceversa.
Therefore, to find the right line that forms the directrix of a hyperbola, you just need to use the directrix that is perpendicular to the major axis.