8×30=10×z
10z=240
z=24
Hence the value of z is 24
Answer:
155.7
Step-by-step explanation:
Use what you know.
Segment AC is 130 ft
Segment CD is 70ft
If you use the Pythagorean Theorem, in this case being = +
To find segment CE, you would do r-70
So, = +
= 16,900 + -140r + 4900
Add the -140r to the left side and then get rid of the two . Then Add 16,900 and 4900 together
You'll end up with 140r = 21,800
Divide 140 on each side.
Your final answer will be 155.7 (rounded to the nearest tenth)
The correct answer to this question is 240
From the image i've seen, the RDC has an angle of 120. So the major arc DC (that passes A and B) has an angle of 240.
So this makes that the measure of the angle of DAC is 240 because of the angle formed by RDC which is 120.
The slope is a positive and constant increase of 1 over 2 and the y - intercept is located at 8 due to the existing amount of snow on the ground. hope this helped you might want to word it a little differently.
The correct answer is: [D]: "17" .
______________________________________________________
The radius is: " 17" .
______________________________________________________
Note:
______________________________________________________
The formula/equation for the graph of a circle is:
______________________________________________________
(x − h)² +<span> </span> (y − k)² = r² ;
in which:
" (h, k) " ; are the coordinate of the point of the center of the circle;
"r" is the length of the "radius" ; for which we want to determine;
_______________________________________________________
We are given the following equation of the graph of a particular circle:
_______________________________________________________
→ (x − 4)² + (y + 12)² = 17² ;
which is in the correct form:
→ " (x − h)² + (y − k)² = r² " ;
in which: " h = 4 " ;
" k = -12" ;
"r = 17 " ; which is the "radius" ; which is our answer.
→ { Note that: "k = NEGATIVE 12" } ;
→ Since the equation <u>for this particular circle</u> contains the expression: _________________________________________________________
→ "...(y + k)² ..." ;
[as opposed to the standard form: "...(y − k)² ..." ] ;
_________________________________________________________
→ And since the coordinates of the center of a circle are represented by:
" (h, k) " ;
→ which are: " (4, -12) " ; (<u>for this particular circle</u>) ;
_________________________________________________________
→ And since: " k = -12 " ; (<u>for this particular circle</u>) ;
_________________________________________________________
then:
" [y − k ] ² = [ y − (k) ] ² = " [ y − (-12) ] ² " ;
= " ( y + 12)² " ;
{NOTE: Since: "subtracting a negative" is the same as "adding a positive" ;
→ So; " [ y − (-12 ] " = " [ y + (⁺ 12) ] " = " (y + 12) "
___________________________________________________
Note: The above explanation is relevant to confirm that the equation is, in fact, in "proper form"; to ensure that the: radius, "r" ; is: "17" .
___________________________________________________
→ Since: "r = 17 " ;
→ The radius is: " 17 " ;
which is: Answer choice: [D]: "17" .
___________________________________________________