Answer:
Step-by-step explanation:
m∠1 = 50°
m∠2 = 88°
Step-by-step explanation:
Each triangle's angles have to add up to 180°. Use supplementary angles theorem to help solve.
10 miles per second in feet per second is 14.67 feet per second
Step-by-step explanation:
The average speed of one team in a relay race = 10 miles per hour.
We need to find the speed in feet per second.
1 mile per hour = 1.467 feet per second
So, Speed in feet per second is:
1 mile per hour = 1.467 feet per second
10 miles per hour = 10*1.467 feet per second
= 14.67 feet per second
So, 10 miles per second in feet per second is 14.67 feet per second
Keywords: Conversion of units
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Answer: $360
Step-by-step explanation:
In one hour, she makes $9 * 10 dogs = $90.
In 4 hours, we simply multiply that by 4 to get $90 * 4 = $360 total
All you have to do is add the number of vanilla and the number of chocolate, then divide the result by 24. You round up the result to the nearest whole number.
Like so:
377+935=1312
1312/24=54.67
55
So, she would have to refill it 55 times to use all the batter.
A) Find KM∠KEM is a right angle hence ΔKEM is a right angled triangle Using Pythogoras' theorem where the square of hypotenuse is equal to the sum of the squares of the adjacent sides we can answer the
KM² = KE² + ME²KM² = 8² + (3√5)² = 64 + 9x5KM = √109KM = 10.44
b)Find LMThe ratio of LM:KN is 3:5 hence if we take the length of one unit as xlength of LM is 3xand the length of KN is 5x ∠K and ∠N are equal making it a isosceles trapezoid. A line from L that cuts KN perpendicularly at D makes KE = DN
KN = LM + 2x 2x = KE + DN2x = 8+8x = 8LM = 3x = 3*8 = 24
c)Find KN Since ∠K and ∠N are equal, when we take the 2 triangles KEM and LDN, they both have the same height ME = LD.
∠K = ∠N Hence KE = DN the distance ED = LMhence KN = KE + ED + DN since ED = LM = 24and KE + DN = 16KN = 16 + 24 = 40
d)Find area KLMNArea of trapezium can be calculated using the formula below Area = 1/2 x perpendicular height between parallel lines x (sum of the parallel sides)substituting values into the general equationArea = 1/2 * ME * (KN+ LM) = 1/2 * 3√5 * (40 + 24) = 1/2 * 3√5 * 64 = 3 x 2.23 * 32 = 214.66 units²