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DaniilM [7]
3 years ago
9

Solve the equation for k. 4k - 2z = 8

Mathematics
2 answers:
lozanna [386]3 years ago
8 0

4k-2z=8

Move -2z to the other side. Sign changes from -2z to + 2z

4k-2z+2z= 8+2z

4k= 8+2z

Divide by 4 for 4k and 8+2z

4k/4= 8/4+ 2z/4

k= 2 +1/2z

Answer: k= 2 +1/2z

antoniya [11.8K]3 years ago
6 0

Answer:

k = 2 + (1/2)z

Step-by-step explanation:

1) Isolate 4k by adding 2z to both sides:  4k = 8 + 2z

2) Divide all three terms by 4:                      k = 2 + (1/2)z

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Please help me!!!!! How do you get 67.3 and 112.7 from .9228
antoniya [11.8K]

Answer and Step-by-step explanation:

You are correct in that we need to use the Law of Sines: \frac{c}{sinC} =\frac{b}{sinB}=\frac{a}{sinA}.

Here, when we use the Law of Sines, we have: \frac{28}{sin(63)}=\frac{29}{sinB}.

Cross multiply:

(sinB) * 28 = (sin63) * 29

28sinB ≈ 25.839

sinB ≈ 0.9228

Now, in order to solve for B, we need to use inverse sin (sin^{-1}):

sin^{-1}(sinB)=sin^{-1}(0.9228)

The sines on the left cancel out, and we're left with:

B ≈ 67.3 degrees

Now, one thing to keep in mind when doing Law of Sines is that there is potentially more than one answer possible for the degree measure. The other degree measure can be found by subtracting this one from 180:

180 - 67.3 = 112.7 degrees.

Hope this helps!

7 0
3 years ago
Read 2 more answers
Determine which graph represents a reflection across the x-axis of f(x) = 3(1.5).
Ghella [55]

Step-by-step explanation:

fill in the missing fraction parts

4 0
1 year ago
If f(x) = 2x-4 and g(x) = x2 - 4x, find g(-4) And the (x2 - 4x) the 2 is a exponent
Luden [163]

Evaluate the given function in x=-4.

This is, replace the x in the function for -4 and find the value of g(-4).

\begin{gathered} g(x)=x^2-4x \\ g(-4)=(-4)^2-4(-4) \\ g(-4)=16+16 \\ g(-4)=32 \end{gathered}

The value of g(-4) is 32.

5 0
1 year ago
I still don’t understand can someone give a helping hand?
Fofino [41]

Answer:

A

Step-by-step explanation:

A, B, C, and D, are all functions. the " { " is saying that those functions can are different at different points. For A the function is A= -x-2 when x< 2 and then A=x+4 when x\geq -2. At the point x=-2 you can see that the function on the graph is going in two different directions but it stops at x=-2.

Based on the graph you can see that the line on the left has a slope of -1 and if it kept going it would cross the y-axis at y=-2, therefore the equation for the first line is y =-x-2 when x

The second line on the right side has a slope of 1 and crosses the y-axis at y=4 so the equation for that line is y=x+4 when x\geq -2.

The only answer that matches these requirements is A

6 0
2 years ago
A cylindrical water tank has a diameter of 5.3 meters and a height of 9 meters. What is the maximum volume that the water tank c
atroni [7]

Answer:

198.56m^{3

Step-by-step explanation:

To find the volume of a cylinder, you need to find the area of the cross-section (one of the circles on the side) and multiply it by the length.

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Volume of the cylinder = 7.0225π x 9 = 63.2025π = 198.56m^{3

8 0
2 years ago
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