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krok68 [10]
3 years ago
13

∠DFG and ∠JKL are complementary angles. m∠DFG = x + 5, and m∠JKL = x − 3. Find the measure of each angle.

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
8 0

Answer:

A

Step-by-step explanation:

complementary angles are 90 degrees so if we add both angles together we get 90 degrees. the equation is x-3+x+5=90. then we do algebra and so it goes to x-3+x=85 then to x+x=88 then to 2x = 88 then to x = 44. now we just do 44+5=49  44-3=41

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A radio arm saw has a circular cutting blade with a diameter of 10 inches and it spins at 2000rpm if there are 12 cutting teeth
FinnZ [79.3K]

Answer:

12565.11 teeth approximately cut cross the cutting surface per seconds.

Step-by-step explanation:

Since the diameter is 10inches, the circumference of the arm saw is 10π (circumference is πd where d is diameter).

The number of teeth on the cutting blade can be gotten by multiplying the diameter by 12 since we have 12 teeth per inch on the arm saw

Number of teeth on saw = 12 x 10π = 120π.

To get the number of teeth that cross the cutting surface in 2000rpm we multiple it by the total number of teeth in just one rpm.

So we have 2000 x 120π. But since we are asked to find it in revolution per seconds then 2000r/m = 2000r/60s ≈ 33.33

Therefore, we have

33.33 x 120π ≈ 12565.11 teeth

7 0
3 years ago
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ale4655 [162]

Answer:

-0.75

Step-by-step explanation:

6 0
3 years ago
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alexandr402 [8]
A² = b² + c² - 2bc cosA
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5 0
3 years ago
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Andru [333]

Answer: 70.74

Step-by-step explanation:

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So 7.86 multiplied by 9 is 70.74

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sergejj [24]
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3 years ago
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