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asambeis [7]
3 years ago
8

An airplane is flying at 4000 feet above the ground. If the angle of depression from the airplane to the beginning of the runway

is 5.4°, what is the horizontal distance to the nearest tenth of a mile of the airplane to the beginning of the runway?
Mathematics
1 answer:
irakobra [83]3 years ago
8 0
Tan 5.4 = 4000/x

x = 4000/tan 5.4

x = 42,316 ft

x = 42,316/5280 mi = 8.0 miles

Answer: 8.0 miles
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Consider the function f(x)=x3+3x2â51x+91. What is the remainder if f(x) is divided by (x+9)? Do not include (x+9) in your answer
makkiz [27]

Answer:

The remainder is 64

Step-by-step explanation:

Consider the function f(x)=x^3+3x^2-51x+91

Use synthetic division to divide by x+9

x+9=0, x=-9

divide the given f(x) by -9 using synthetic division

-9               1           3       -51       91

                  0          -9     54        -27              

         --------------------------------------------------

                  1           -6      3         64

The remainder is 64

                 

         

5 0
3 years ago
clint has 6 apple muffins, 2 corn muffins, and 4 bran muffins what fraction of muffins are bran weite the fraction in simplest f
Feliz [49]

Answer:

\frac{1}{3}

Step-by-step explanation:

The fraction of bran muffins is expressed as bran muffins over total muffins.

Total muffins = 6 + 2 + 4 = 12 and bran muffins = 4, thus

fraction = \frac{4}{12} ← divide ( cancel ) each value by 4 )

fraction = \frac{1}{3} ← in simplest form

6 0
3 years ago
Read 2 more answers
Suppose that 95% of the fasteners pass the initial inspection. Of those that fail the initial inspection, 20% are defective. Of
hichkok12 [17]

Answer

Step-by-step explanation:

Let x be the fasteners

95% of x passed, and 5% of x failed

20% of the 5% which failed are defective, remaining the 80% of the failed 5%.

Now 40% of this 80% of the 5% which failed are scrapped, meaning only the remaining 60% passed second inspection.

Thus

a). The proportion ;

60% of 80% of 5% of x

mathematically

= 60/100 × 80/100 × 5/100

= 0.024 or 2.4%

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c) probability that it passed on first inspection is 95/100

Percentage that went through recrimping = 80% of 5% = 80/100 × 5/100 = 1/25 or 0.04 or 4%

Thus probability of passing and not going through recrimping

= 1 - (1/25) = 0.96 or 96%

7 0
3 years ago
Y=4x^2+14x+6 factor the polynomial
Julli [10]

Answer:

−

4 x 2 + 14 x − 6 p  -4x2+14x-6p

4 0
3 years ago
How do you find your answer step-by-step?
WARRIOR [948]
5.68 x 6.02 ( 10^9)


same base 10 so add the exponent together

4 0
3 years ago
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