I think it is 2/4 but I might be wrong
The speed of current will be "4.5 mph" and the rate Pratap can row in still water will be "8.5 mph".
What does "speed" mean in mathematics?
- Speed is what it means. the speed of a change in an object's location in any direction.
- Speed is defined as the ratio of distance to the amount of time it took to cover that distance.
- Speed is a scalar quantity because it just has a direction and no magnitude.
Given:
Distance "26 miles" in time "2 hours".
Let,
Speed of water = y
Pratap speed when rowing in still water = x
As we know,
Speed = distance/time
then,
x + y = 26/2
x + y = 13
x = 13 - y
In return trip took him time "6.5 hours",
x - y = 26/6.5
x - y = 4
By substituting the value of "x", we get
13 - y - y = 4
13 - 2y = 4
2y = 13 - 4
2y = 9
y = 9/4 = 4.5 mph (Rate of the current)
By substituting the value of "y", we get
x = 13 - a
x = 13 - 4. 5 = 8.5 mph (Pratap can row in still water)
Learn more about speed
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)
<span>tanx = 3/10 </span>
<span>x=16.7 B </span>
<span>2) </span>
<span>tan 64 = 173/x </span>
<span>x = 84.38 D </span>
<span>3) </span>
<span>tan21 = x/442 </span>
<span>x= 169.67 B </span>
<span>4) </span>
<span>tanx = 16.2/48.3 </span>
<span>x = 18.54 A </span>
<span>5) </span>
<span>tanx = 8/6.5 </span>
<span>x = 50.91 C </span>
<span>6) </span>
<span>tan89 = 1149/x </span>
<span>x=20.06 A </span>
<span>7) </span>
<span>tanx = 21/12 </span>
<span>x= 60.26 B </span>
<span>8) B </span>
<span>9) </span>
<span>tanx = 25/63 </span>
<span>x = 21.64 C </span>
<span>10) </span>
<span>tanx = 60/15 </span>
<span>x= 75.96 D</span>
Answer:
a. x = 5, m∠FGH = 22°
b. m∠HGI = 22°
c. m∠FGI = 44°
Step-by-step explanation:
Since GH bisects FGI this means it divides the angle in two equal parts.
a. solving for x means equating them:
5x-3 = 6x-8 =>
5x - 6x = 3 - 8 =>
x = 5.
Both m∠FGH and m∠HGI are 5*5-3 = 22°
c. Add both angles: m∠FGH + m∠HGI = 44°
Let x be the price of a cupcake.
There are 24 cupcakes so it will be 24x.
Solution:
24x+16=52
24x=52-16
24x=36
Divide both sides by 24
X=1.5.
The price of each cupcake is 1.5$
