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ZanzabumX [31]
2 years ago
14

Jana continues training for a triathlon that includes a 112-mile bike ride. Today, she rode her bike 12 miles in 60 minutes. The

n she ran for 15 miles in 2 hours. What is Jana’s running rate in miles per hour?
Mathematics
1 answer:
MAVERICK [17]2 years ago
7 0

Answer:

16 miles

Step-by-step explanation:

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Points C and D divide the semicircle into three equal parts. Match the angles with their measures.
Tresset [83]
∠CAE = 120°
∠CAD = 60°
∠BAE = 180°
∠DEC = 30°

We start out with the fact that points C and D split the semicircle into 3 sections.  This means that ∠BAC, ∠CAD and ∠DAE are all 60° (180/3 = 60).

Since it forms a straight line, ∠BAE is 180°.

Since it is formed by ∠CAD and ∠DAE, ∠CAE = 60+60 = 120°.

We know that an inscribed angle is 1/2 of the corresponding arc; since CD is 1/3 of the circle, it is 1/3(180) = 60; and this means that ∠DEC = 30°.
7 0
3 years ago
Read 2 more answers
A sphere with radius 16 m is cut by a plane that is 9 m below its center. what is the best approximation of the area of the circ
alexdok [17]
The complete question in the attached figure

we know that
the equation of a sphere is
(x-h)²+(y-k)²+(z-l)²=r²

<span>let's assume that the center of the sphere is at the origin
</span>so
(h,k,l)-------> (0,0,0)
for r=16 m
(x-h)²+(y-k)²+(z-l)²=r²-------->  (x)²+(y)²+(z)²=16²

for z=9 m
(x)²+(y)²+(9)²=16²--------> (x)²+(y)²=256-81--------> (x)²+(y)²=175
the radius of the circle is r=√175 m
so the area of the circle A=pi*r²-----> A=pi*175-----> A=549.5 m²

the answer is 
the area of the circle is 549.5 m²

6 0
3 years ago
Select all the expressions that are equivalent to 16x+36
kakasveta [241]
I believe it’s c and d
3 0
3 years ago
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Write the standard equation of the circle: x^2 +2x + y^2 =55 +10y
lidiya [134]

x^2 +2x + y^2 =55 +10y\\(x+1)^2+(y-5)^2=81

7 0
3 years ago
Which statement is best represented by the inequality t less-than negative 15?
Tems11 [23]

Answer:

The first one

Step-by-step explanation:

Today’s temperature was less than Negative 15 degrees Fahrenheit.

5 0
3 years ago
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