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svet-max [94.6K]
3 years ago
5

Please someone help me with this ASAP with the workout!!

Mathematics
1 answer:
Dvinal [7]3 years ago
8 0

Answer:

71 degrees

Step-by-step explanation

From the triangle shown;

YX² = YZ² + XZ² - 2(YZ)(XZ) cos Z

28² = 25² + 23² - 2(25)(23) cos Z

784 = 625 + 529- 1150 cos Z

784 - 1154 = -1150cos Z

-370 = -1150cos Z

cos Z = 370/1150

cos Z = 37/115

cos Z = 0.3217

Z = arccos 0.3217

Z = 71.23

hence the measure of <Z is 71 degrees

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Step-by-step explanation:

Dont want to explain too long

8 0
3 years ago
I don’t know if I did this right can someone help me pls?
bekas [8.4K]
Using the Pythagorean theorem:

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Solve for x and y.<br><br> 4x-3y=16<br> -2x+4y=-2<br><br> DUE 2/7/17!
Trava [24]
\left \{ {{4x-3y=16\:(I)} \atop {-2x+4y=-2\:(II)}} \right.

<span>Multiply the 2nd equation by (-4). This will eliminate the x's when you add the two new equations together.
</span>\left \{ {{4x-3y=16\:\:\:\:\:\:\:\:\:\:} \atop {-2x+4y=-2\:*(-4)}} \right.
\left \{ {{\diagup\!\!\!\!4x-3y=16} \atop {-\diagup\!\!\!\!4x+8y=-4}} \right.
--------------------
5y = 12
\boxed{\boxed{y =  \frac{12}{5}}}\end{array}}\qquad\quad\checkmark

Let's replace the value found in the first equation:
4x-3y=16\:(I)
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least common multiple (5)
\frac{20x}{\diagup\!\!\!\!5} - \frac{36}{\diagup\!\!\!\!5} = \frac{80}{\diagup\!\!\!\!5}
20x - 36 = 80
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x = \frac{116}{20} \frac{\div4}{\div4} \to\: \boxed{\boxed{x = \frac{29}{5} }}\end{array}}\qquad\quad\checkmark



4 0
4 years ago
What is the value of x that makes sense the given equation true? 4x-3=-12x+13
Eva8 [605]
X=1 is the answer to your question
4 0
3 years ago
Read 2 more answers
What is the area of the top of the water buoy as shown in the figure?
gayaneshka [121]

Answer:

The answer is 28.26 square in

Step-by-step explanation:

As, the diameter if the top = 6 inches

And the area of a circle = 3.14(pi) x radius^2

So here radius = Diameter /2 = 6/2 = 3

So radius = 3 inches

So area = 3.14 x (3)^2

= 3.14 x 9

= 28.26 square in

4 0
3 years ago
Read 2 more answers
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