Answer:
2100 miles.
Step-by-step explanation:
Given:
Diameter to the moon = 240000 miles
∅ = 0.5 °
The subtended angle by an arc is given as:
S = r∅
Where
r = radius of the circle
Therefore,
D = 240,000 x (0.5 x π rads)/180
= 2094 miles
= 2100 miles.
Answer:
Step-by-step explanation:
The equation of a parabola in vertex form:
<em>(h, k)</em><em> - vertex</em>
The focus is
We have the vertex (2, -5) and the focus (2, -4).
Calculate the value of <em>a</em> using
<em>k = -5</em>
<em>add 5 to both sides</em>
<em>multiply both sides by 4</em>
Substitute
to the vertex form of an equation of a parabola:
The standard form:
Convert using
<em>use the distributive property: a(b+c)=ab+ac</em>
Answer:
x=-20
Step-by-step explanation:
x+8−8=−12−8
x=−20
Answer:
m∠ABD = m∠CBE ⇒ by subtracting a common angle from the given angles
Step-by-step explanation:
∵ m∠ABE = m∠CBD
∵ m∠ABD = m∠ABD + m∠DBE
∵ m∠CBD = m∠CBE + m∠EBD
∵ ∠EBD is common angle between them
∴ m∠ABD = m∠CBE
Answer:
9.75 hours
Step-by-step explanation:
If Rob drove 35% of the time and Mark drove the remainder of the time, the total is 100 %
100-35 = 65
so Mark drove 65% of the time
The total time driven was 15 hours, so we multiply the total time driven by the percentage of time that Mark drove to find the number of hours that Mark drove.
15 * 65%
15*.65
9.75 hours