<h3>
Answer: 45</h3>
The value is approximate.
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Explanation:
Focus on the upper triangle.
Label the unknown horizontal side as y
Use the pythagorean theorem to solve for y
a^2+b^2 = c^2
10^2 + y^2 = 26^2
100+y^2 = 676
y^2 = 676-100
y^2 = 576
y = sqrt(576)
y = 24
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Now move to the bottom triangle
With respect to the reference angle, the side y = 24 is opposite this. The hypotenuse is unknown.
Use the sine rule to connect the two and solve for x
sin(angle) = opposite/hypotenuse
sin(32) = y/x
sin(32) = 24/x
x*sin(32) = 24
x = 24/sin(32)
x = 45.2899179551967 which is approximate
x = 45 rounding to the nearest whole number
Side x is approximately 45 cm long.
Note: make sure your calculator is in degree mode.
Answer:
Total Distance = 2 miles
Step-by-step explanation:
We know D = RT where
D is distance
R is rate (speed)
T is time
First Leg:
Rate = x mph
Time = 20/60 = 1/3 hour
Hence, D = RT, Distance = x * 1/3 = x/3 miles
Second Leg:
Rate = x - 1
Time = 30/60 = 1/2 hour
Distance = (x - 1) * 1/2 = (x-1)/2
Total distance is the sum of both the legs, hence,
Total distance = 
miles
Since both the distance are equal we can equate and solve:
Plugging this x = 3 into the total distance expression, we get:
Total distance, 2 miles
Answer:
0.0011904
Step-by-step explanation:
Given that:
Number of slips = 7
Sample space = (1, 2, 3, 3, 5, 6, 7)
Numbwe of slips drawn = 4
Probability = required outcome / Total possible outcomes
Note ; selection is without replacement ;
P(drawing 1) = 1 /7
P(drawing 2) = 1 /6
P(drawing 3) = 1/5
P(drawing 4) = 1/4
1/7 * 1/6 * 1/5 * 1/4 = 0.0011904
Answer:
DBC = 75
Step-by-step explanation:
ABD and DBC are supplementary angles. They add to 180 degrees.
ABD + DBC = 180
105 + DBC = 180
Subtract 105 from each side
105-105 + DBC = 180-105
DBC = 75
