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OverLord2011 [107]
3 years ago
10

Find x. Math question no Guessing Please help

Mathematics
1 answer:
pogonyaev3 years ago
3 0
In the bigger triangle, we know two of the angles (90 degrees and 45 degrees). Therefore, we can work out the remaining angle by doing 180 - (90 + 45) = 45 degrees. (Because all the angles in a triangle add up to 180 degrees).

Now that we know all three angles, we can see that two of the angles are the same (45 and 45), which means the bigger triangle is an isosceles triangle. This means two of the sides are the same. Therefore, when we use Pythagoras’ theorem to work out the side lengths, we can treat a^2 and b^2 as the same value (so it’d be 2a^2, or even 2b^2). Now we can work it out as we know the hypotenuse is 6.

2a^2 = 6^2
2a^2 = 36
a^2 = 18
a = √18 = 3√2

Now we know that the remaining side lengths of the big triangle are both 3√2.

That also means that the longest side of the smaller triangle is also 3√2 (as shown on the diagram), which will be useful later on.

Now we should work out all the angles of the smaller triangle, and as you know, all the angles add up to 180, so you do 180 - (90 + 60) = 30 degrees. Now we can find out x by using the sine rule.

Just do (3√2)/sin(90) * sin(30) to give you the answer. This should equal (3√2)/2 and that should be your final answer, which is A on your multiple choice list.

Hope that helps! :)
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On August 2nd, 1988, a US District Court judge imposed a fine on the city of Yonkers, New York, for defying a federal court orde
Minchanka [31]

Answer:

a)

A(t) = 1,000,000 + 10,000,000t

B(t)= 0.01 +0.02t

b) No.

Step-by-step explanation:

a)<u> Penalty A:</u> 1 million dollars on August 2 and the fine increases by 10 million dollars each day thereafter.

If t represents the number of days after August 2,

A(t) = 1,000,000 + 10,000,000t

<u>Penalty B</u>: 1 cent on August 2 and the fine doubles each day thereafter.

A(t) = 0.01 + 2t(0.01) = 0.01 + 0.02t

b) Assuming your formulas in part (a) hold for t≥0, is there a time such that the fines incurred under both penalties are equal?

To solve this, we would have to equal both formulas and solve for t.

1,000,000 + 10,000,000t=0.01+0.02t\\9,999,999.98t=-999,999.99

By taking a look at this equation, we see that when we solve for t, t will be a negative number. Since the formulas are valid for t≥0, we can conclude that there won't be a time such that the fines are equal.

4 0
3 years ago
PLEASE HELPPP
lianna [129]

Answer:

56.52 cm

Step-by-step explanation:

To find the circumfrence use this formula-> C=2πr

The Radius is 9 (and I'm assuming to use 3.14 for pi since it doesn't state whether to use 22/7 or 3.14)

C= 2$\cdot$ 3.14 $\cdot$ 9

C= 56.52 cm

4 0
3 years ago
Pls help I need a good grade
choli [55]

Answer:

-8

Step-by-step explanation:

-40/5=-8

6 0
3 years ago
An e-learning company prepares online exams for students. It wants to test a new type of question on its target audience and nee
Karo-lina-s [1.5K]

Placing the new question at the start or at the end of the test will definitely invalidate the accuracy of the data. This is because the 1st and the last questions are the most noticeable part in a given set. Therefore the answer to this question is that “The Company should randomly introduce the new question type among other questions in the test”. 

4 0
3 years ago
What is the area of the shape below
Bad White [126]

Answer:

The area of the shape is A=886 \:cm^2.

Step-by-step explanation:

The shape in the graph is a composite figure is made up of several simple geometric figures such as triangles, and rectangles.

Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.

To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.

First  separate the composite shape into three simpler shapes, in this case two rectangles and  a triangle. Then find the area of each figure.

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

The area of the first rectangle is A=34\cdot 16=544\:cm^2

The area of the second rectangle is A=11\cdot19=209\: cm^2

The area of a triangle is given by the formula A=\frac{1}{2} bh where <em>b</em> is the base and <em>h</em> is the height of the triangle.

The area of the triangle is A=\frac{1}{2} \cdot 14\cdot19=133\:cm^2

Finally, add the areas of the simpler figures together to find the total area of the  composite figure.

A_{composite\:shape}=544+209+133=886 \:cm^2

3 0
4 years ago
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