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emmasim [6.3K]
3 years ago
12

2) Working alone, Rob can dig a 10 ft by 10 ft hole in ten hours. Shayna can dig the same hole in seven hours. Find how long it

would take them if they worked together.​
Mathematics
1 answer:
Free_Kalibri [48]3 years ago
8 0

rob can dig 1/10ft in one hour

Shayna can dig 1/7ft in one our

together they can dig

1/10+1/7

(7+10)/70 in one hour

17/70

in for hours they can dig

17/70×4

68/70

the left work is 2/70

in 60 minutes they can dig 17/70

1/70 work can be done in 60 minutes/17

2/70 work can be done in 60/17×2 minutes

7.088 minutes

for the entire work they take 4hours and 7 minutes

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EastWind [94]
Let 
x = measure of angle TAP
y = measure of angle BRE

We're told that "angle BRE is its own complement" meaning that angle BRE added to itself is 90 degrees. In algebraic terms, we can say

y+y = 90
2y = 90
2y/2 = 90/2
y = 45

So angle BRE is 45 degrees. Note how 45+45 = 90. 

We also know that angle TAP and angle BRE are supplementary. They add up to 180 degrees

x+y = 180
x+45 = 180 ... replace y with 45
x+45-45 = 180-45 ... subtract 45 from both sides
x = 135

Since we defined x to be the measure of angle TAP, this means that angle TAP is 135 degrees

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