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borishaifa [10]
3 years ago
9

Suppose that the functions f and g are defined for all real numbers x as follows.

Mathematics
1 answer:
4vir4ik [10]3 years ago
8 0
Hey there !

Check the attachment.
Hope it helps you :)

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Find the length of side AB<br> Give answer to 3 significant figures
Rina8888 [55]

Answer:

AB = 8.857 cm

Step-by-step explanation:

Here, we are given a <em>right angle</em> \triangle ABC in which we have the following things:

\angle A = 90 ^\circ\\\angle C = 41 ^\circ\\\text{Side }BC = 13.5 cm

Side <em>BC </em>is the hypotenuse here.

We have to find the side <em>AB</em>.

Trigonometric functions can be helpful to find the value of Side AB here.

Calculating \angle B:

Sum of all the angles in \triangle ABC is 180^\circ.

\Rightarrow \angle A + \angle B + \angle C = 180^\circ\\\Rightarrow 90^\circ + \angle B + 41^\circ = 180^\circ\\\Rightarrow \angle B = 49^\circ

We know that <em>cosine </em>of an angle is:

cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\Rightarrow cos B = \dfrac{AB}{BC}\\\Rightarrow cos 49^\circ = \dfrac{AB}{13.5}\\\Rightarrow AB = 13.5 \times 0.656\\\Rightarrow AB = 8.857 cm

So, side AB = 8.857 cm .

6 0
3 years ago
HELPP MEEEEEE<br> Find the slope of this graph.
kati45 [8]

Answer:

that this 6+6

Step-by-step explanation:

78+90 look than

4 0
3 years ago
Read 2 more answers
Help with the question above! Pleaseeeeee!
SSSSS [86.1K]
Question 5:
 the circumference is given by:
 C = 2 * pi * r
 Where,
 r: radio of the ball
 Substituting values we have:
 22 = 2 * pi * r
 Clearing r we have:
 r = 11 / pi
 The surface area is given by:
 A = 4 * pi * r ^ 2
 Substituting values we have:
 A = 4 * 3.14 * (11 / 3.14) ^ 2
 A = 154 in ^ 2
 Answer:
 
The surface area of the balloon is:
 
A = 154 in ^ 2

 Question 8:
 For this case we have that the scale factor is given by:
 V1 = (k ^ 3) * V2
 Substituting values we have:
 729 = (k ^ 3) * 2744
 Clearing k:
 k = (729/2744) ^ (1/3)
 k = 9/14
 Answer:
 the scale factor of a cube with volume 729 m ^ 3 to a cube with volume 2,744 m ^ 3 is:
 9:14

 Question 2:
 The volume of the cylinder is given by:
 V = pi * r ^ 2 * h
 Where,
 r : radio
 h: height
 Substituting values:
 V = pi * (2.8) ^ 2 * (13)
 V = 101.92 * pi
 Answer:
 
The volume of the cylinder is:
 
V = 101.92 * pi
 
option 3
4 0
3 years ago
Read 2 more answers
What are the zeros of the quadratic function f(x) = 2x2 + 16x – 9?
Lena [83]
To find the zeros of this equation you need to first set it equal to zero
2x2 + 16x - 9 = 0
But since you can't FOIL this equation you need to move the non-variable number over
2x2 +16x = 9
Now solve for x by pulling an x out of the equation
x(2x + 16) = 9
x = 9
2x +16 = 9
2x = -7
x = -7/2
So your zeros would be at x = 9, and -7/2
7 0
3 years ago
N-m-m; use m=6,and n=-5
mixas84 [53]
(-5)-(6)-(6)
-5+-6
-11+-6
-17
-17 is the answer you are looking for.
8 0
3 years ago
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