You have to ask yourself “how many half hours segments are in 2 hours?” The answer is 4. Now, since you want to find out how many miles the boat can travel in half an hour, divide 27 by 4 (because there are four half hours in 2 hours). 27 divided by 4 equals 6.75. The boat travels 6.75 miles in half an hour.
If LllM then the consecutive angles shoud be supplementary(=180)
x-5+2x+5=180
x+2x=180
3x=180
x=60
Answer:x=60
Answer:
2. x
² + y
²
= 4
3. x² + y² = 23
Step-by-step explanation:
The equation of a circle with center
(
a
,
b
) and radius r is:
(
x
−
a
)²
+ (
y
−
b
)
² = r
²
Explanation:
Here,
a
=
0
, b
=
0
, r
=
2
The equation is:
(
x
-0
)
² + (
y
-0
)
² = (
2 )
²
that is: x
² + y
² = 4
Thus:
x
² + y
²
= 4
3. Each point on a circle has the same distance from the center. This distance is the radius r of the circle.
Here,
(
-3
,
4
) is a point on the circle, meaning that the radius of the circle is the distance between (
0
,
0
)
, the center, and (
-3
,
4
)
.
thus a circle centered on the origin will have an equation of:
x² + y² =r²
And, (
-3
,
4
) lies on the circle, we have:
(-3)² + (4)² = r²
9 + 14 = 23
substituting;
x² + y² = 23
Answer:
135 cupcakes
Step-by-step explanation:
Answer:
<em>Hot dog sold = 33</em>
<em>Sodas Sold = 72</em>
Step-by-step explanation:
<u><em>Given:</em></u>
<em>At a hockey game a vender sold a combined total of 105 sodas and hot dogs. The number of sodas sold was 39 more than the number of hot dogs sold</em>
<u><em>To Find:</em></u>
<em>Number of soda/hot dog sold</em>
<u><em>Solve:</em></u>
<em>h + ( 39 + h ) = 105</em>
<em>h + 39 + h = 105</em>
<em>2h + 39 = 105</em>
<em>h + 19.5 = 52.5</em>
<em>h = 52.5 - 19.5 </em>
<em>This as a system does not use any inequality. "39 more than" means, +39.</em>
<em>h = 33 meaning d= 72</em>
<em />
<em>Add to check Answer:</em>
<em>33 + 72 = 105</em>
<em>Thus,</em>
<em>Hot dog sold = 33</em>
<em>Sodas Sold = 72</em>
<em />
<u><em>Kavinsky </em></u>
