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maw [93]
3 years ago
10

What is the value of f(-4)

Mathematics
1 answer:
WITCHER [35]3 years ago
4 0

Answer:

7

Step-by-step explanation:

Substitute x = -4 :

f(-4) =  3 - (-4)

= 3 + 4

= 7

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Solve the equation 1/6(x - 5) = 1/2(x + 6)
Semmy [17]

Answer:

-23/2

Step-by-step explanation:

x-5=3(x+6)

x-3x=18+5

-2x=23

x=-23/2

5 0
2 years ago
What is the circumference of the circle? (use 3.14 for pi)<br> r = 50mm
Alexxandr [17]

Answer:

Step-by-step explanation:

circumference = 2\pir

= 2 × 3.14 × 50

= 31.4 mm

hope this helps

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7 0
3 years ago
290 pennies are equal to how many dimes
ExtremeBDS [4]
29 dimes
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6 0
3 years ago
Read 2 more answers
In the diagram, TC represents a vertical building. The points, A and B, are on the same level as the foot C of the building such
Alenkinab [10]

Answer:

(a) The height of the building is 60.06 m

(b) The distance AB is 139.43 m

Step-by-step explanation:

The given parameters are

Given that segment BT = segment AT + 29

By trigonometric ratios, we have;

cos∠ATC = CT/AT

cos∠BTC = CT/BT

Therefore, we have;

cos(40°) = CT/AT.................................(1)

cos(56°) = CT/BT = CT/(AT + 29).....(2)

cos(56°) = CT/(AT + 29)......................(3)

From equation (1)

CT = AT×cos(40°)

From equation (3)

AT×cos(56°) + 29 × cos(56°) = CT

Therefore;

AT×cos(40°) = AT×cos(56°) + 29 × cos(56°)

AT×cos(40°) - AT×cos(56°) =  29 × cos(56°)

AT×(cos(40°) - cos(56°)) =  29 × cos(56°)

AT = 29 × cos(56°)/(cos(40°) - cos(56°)) = 78.4 m

TC = CT = AT×cos(40°) = 78.4×cos(40°) = 60.06 m

The height of the building = 60.06 m

(b) BT = AT + 29 = 78.4 m + 29 m= 107.4 m

AB = AT×sin(∠ATC ) + BT×sin(∠BTC) = 78.4×sin(40°) + 107.4×sin(56°) =  139.43 m

The distance AB =  139.43 m.

6 0
3 years ago
How do you calculate an antilog?<br>eg: antilog 2.1423​
frosja888 [35]

9514 1404 393

Answer:

  138.77

Step-by-step explanation:

Your scientific or graphing calculator will have exponential functions for bases 10 and e. On the calculator shown in the first attachment, they are shifted (2nd) functions on the log and ln keys. Consult your calculator manual for the use of these functions.

The value can be found using Desmos, the Go.ogle calculator, or any spreadsheet by typing 10^2.1423 as input. (In a spreadsheet, that will need to be =10^2.1423.) The result using the Go.ogle calculator is shown in the second attachment.

You can also use the y^x key or the ^ key (shown to the left of the log key in the first attachment). Again, you would calculate 10^2.1423.

__

We have assumed your log is to the base 10. If it is base e (a natural logarithm), then you use the e^x key instead. Desmos, and most spreadsheets, will make use of the EXP( ) function for the purpose of computing e^( ). You can type e^2.1423 into the Go.ogle calculator.

_____

<em>Additional comment</em>

There are also printed logarithm tables available that you can use to look up the number whose log is 0.1423. You may have to do some interpolation of table values. You should get a value of 1.3877 as the antilog. The characteristic of 2 tells you this value is multiplied by 10^2 = 100 to get the final antilog value.

The logarithm 2.1423 has a "characteristic" (integer part) of 2, and a "mantissa" (fractional part) of 0.1423.

8 0
3 years ago
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