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jeyben [28]
3 years ago
12

Determine the value of cos 79º 15' (cosine of 79 degrees, and 15 minutes). In this case, minutes are 1/60 of a degree.

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
8 0

Answer:

A. 0.186524036

Step-by-step explanation:

Cosine 79° 15'

But, 1° = 60'

Thus; 15' = 15/60 = 0.25°

Therefore;

cos 79° 15' = cos 79.25°

Cos 79.25° = 0.186524036

                  = 0.186524036

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A metal cube
Ierofanga [76]

Answer: 2.73 cm

Step-by-step explanation:

Given that :

Side (a) of cube = 4.4cm

Volume of a cube (V) = a^3

V = 4.4^3

V = 85.184cm^3

Therefore, volume of the sphere made = 85.184cm^3

Volume of sphere = 4/3 πr^3

Where r = radius

85.184 = (4/3)*(22/7)*r^3

85.184 = (88/21)*r^3

85.184 = 4.1905 * r^3

r^3 = 85.184 / 4.1905

r^3 = 20.327884

Take the cube root of both sides

r = 2.73 cm

5 0
3 years ago
If each chip has a length of 35 nanometers (nm), how many would you need to circle the Earth. Which has a radius of 6,371 km? (S
kodGreya [7K]

Answer:

1144.18 e-12 chips

Step-by-step explanation:

Conversation rate of nanometers

1 nanometers =1* 10^-12 km

35 nanometers= 35 *10^-12

Radius of earth= 6371 km

Circumference of earth = 2πr

Circumference= 2*22/7*6371

Circumference=40046.29 km

The number of chips to be used to circle the earth

= 40046.29/35 *10^-12

=1144.18 *10^-12

= 1144.18 e-12 chips

4 0
3 years ago
F(x)=√x+11. Find the inverse of f(x).
MaRussiya [10]

Answer:

f(x)⁻¹ = (x - 11)²

Step-by-step explanation:

To find the inverse of the function, you need to (1) swap the places of the "x" and "y" variables and then (2) solve for "y". Remember, f(x) is another way of writing "y".

y = √x + 11                                        <----- Original equation

x = √y + 11                                        <----- Swap variables

x - 11 = √y                                         <----- Subtract 11 from both sides

(x - 11)² = (√y)²                                  <----- Square both sides

(x - 11)² = y                                        <----- Simplify

Another way of writing the output of an inverse function is with f(x)⁻¹.

5 0
2 years ago
18 is 25% of what number? A) 36
Nezavi [6.7K]

Answer:

c) 72

Step-by-step explanation:

multiply 18 by 4

5 0
3 years ago
Read 2 more answers
What survival rate in the 10th year would make the average of loss over the 10 year period equal to 38.0%
Marat540 [252]

Answer: 63%

Step-by-step explanation:

<u>First step</u>

Find the 10th year rate of loss that will make the average of loss over the 10 years to equal 38.0%.

Assume this rate is x;

\frac{(36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x)}{10} = 38.0\\\\\frac{343 + x}{10}  = 38\\\\x  = 380 - 343\\\\x = 37

x = 37%

<u>Second step - Survival rate</u>

The survival rate is calculated by;

= 1 - rate of loss

= 1 - 37%

= 63%

7 0
2 years ago
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