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matrenka [14]
4 years ago
6

What is 5w + 9z=2z + 3w

Mathematics
1 answer:
anyanavicka [17]4 years ago
3 0
5w+9z=2z+3w (-2z)

5w+7z=3w (-2w)

3w+7z=w (-3w)

7z=-2w (divide by -2)

3.5z = w

now replace "w" with that in the equation and you will find Z. When you find Z, W is Z times 3.5


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An acute angle θ is in a right triangle with sin θ = seven eighths. What is the value of cot θ?
olga2289 [7]
Draw a right triangle ABC, with m(CAB)=∅.

Let CB=7 units, AC=8 units, so by the Pythagorean theorem:

AB= \sqrt{ AC^{2} - BC^{2} }= \sqrt{ 8^{2} - 7^{2} }=  \sqrt{64-49} = \sqrt{15} (units)

so we have drawn a triangle where sin∅=7/8

in this triangle, cot∅=(adjacent side)/(opposite side)=\frac{ \sqrt{15} }{7}

Answer: <span>square root of fifteen divided by seven</span>

6 0
3 years ago
Ismelda watches a soap bubble resting on a driveway. The bubble is in the shape of a hemisphere. When the bubble pops, the soap
Irina18 [472]

Answer:

56.5 cu.in

Step-by-step explanation:

Diameter is 6 inches,then radius(r)=3 inches

volume of hemisphere=2/3πr^3

=2/3×3.14×3×3×3

=2×3.14×3×3

=2×3.14×9

=56.52 cu.in

6 0
3 years ago
Find the volume of the cylinder.
Vaselesa [24]

Answer:

160pi

Step-by-step explanation:

the volume of a cylinder is found using the formula V=pi x r² x h. taking r=4 this means we have pi x 16 x10 =160pi

8 0
3 years ago
Equation of the line (-6,5) and (8,14) in standard form
blsea [12.9K]

Answer:

\huge\boxed{9x-14y=-70}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have two points (-6, 5) and (8, 14).

Substitute:

m=\dfrac{14-5}{8-(-6)}=\dfrac{9}{14}\\\\y-5=\dfrac{9}{14}(x-(-6))\\\\y-5=\dfrac{9}{14}(x+6)

Thew standard form of an equation of a line:

Ax+By=C

transform:

y-5=\dfrac{9}{14}(x+6)\qquad|\text{multiply both sides by 14}\\\\14y-14\cdot5=14\!\!\!\!\!\diagup^1\cdot\dfrac{9}{14\!\!\!\!\!\diagup_1}(x+6)\\\\14y-70=9(x+6)\\\\14y-70=9x+54\qquad|\text{subtract}\ 9x\ \text{from both sides}\\\\-9x+14y-70=54\qquad|\text{add 70 to both sides}\\\\-9x+14y=70\qquad|\text{change the signs}\\\\9x-14y=-70

4 0
4 years ago
WILL SOMEONE PLEASE HELP ME FOR ONCE!?!?!?!?!?!?
USPshnik [31]

Answer: x is less than or equal to -4.25


Step-by-step explanation:

Since the dot on the number line is filled in it is either a less than or equal to or a greater than or equal to. Because the line is going more into negative or descending, it is less than or equal to.

5 0
4 years ago
Read 2 more answers
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