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3 years ago

Find the value of A

Mathematics

1 answer:

Masteriza [31]3 years ago

5 0

Answer:

a = 5

Step-by-step explanation:

Angles A and B are the same at 45, a and b are also the same

The law of sines is based on the proportionality of sides and angles in triangles. The law states that for the angles of a non-right triangle, each angle of the triangle has the same ratio of angle measure to sine value.

sin(A)/a = sin(B)/b = sin(C)/c

Substitute the known values into the law of sines to find a.

SinA / a = sin(90) / 5√2

a = 5

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Applications of quadratics

Bingel [31]

Throwing a ball, shooting a cannon, diving from a platform and hitting a golf ball are all examples of situations that can be modeled by quadratic functions. ... In many of these situations you will want to know the highest or lowest point of the parabola, which is known as the vertex.

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3 years ago

If GF is a midsegment of CDE, find CD. A. 3.4 B. 6.8 C. 13.6 D. 14

bogdanovich [222]

Answer:

Step-by-step explanation:

Triangle CGF and triangle CED are similar. Hence, the ratio of their corresponding sides are equal. Thus we can write:

$\frac{5x+4}{2x+3}=\frac{CD}{3x+0.8}$

We can now cross multiply and solve for CD:

$\frac{5x+4}{2x+3}=\frac{CD}{3x+0.8}\\(5x+4)(3x+0.8)=(2x+3)(CD)\\15x^2+4x+12x+3.2=(2x+3)(CD)\\15x^2+16x+3.2=(2x+3)(CD)\\CD=\frac{15x^2+16x+3.2}{2x+3}$

Since GF is a midsegment of CDE, CD is double of CF. So we can write:

$CD=2CF\\\frac{15x^2+16x+3.2}{2x+3}=2(3x+0.8)\\\frac{15x^2+16x+3.2}{2x+3}=6x+1.6\\15x^2+16x+3.2=(6x+1.6)(2x+3)\\15x^2+16x+3.2=12x^2+18x+3.2x+4.8\\15x^2+16x+3.2=12x^2+21.2x+4.8\\3x^2-5.2x-1.6=0$

By using quadratic formula $\frac{-b+-\sqrt{b^2-4ac} }{2a}$ and with a=3, b= -5.2, and c= -1.6, we find the value of x to be:

$\frac{5.2+-\sqrt{(-5.2)^2-4(3)(-1.6)} }{2(3)}=2$

Since the expression for CD is $\frac{15x^2+16x+3.2}{2x+3}$ , we plug in $x=2$ into this expression to find value of CD:

$\frac{15(2)^2+16(2)+3.2}{2(2)+3}=13.6$

The correct answer is C

6 0

3 years ago

Read 2 more answers

Is this Biased or Unbiased and Explain? ( Q:Are you willing to deal with noisy,heavy increases in traffic where you live just so

sleet_krkn [62]

Answer:

It is biased.

Step-by-step explanation:

Some individuals may prefer to have noisy, heavy increases in traffic where the individual lives because of the mall. If the individual likes it or not is subjective.

6 0

3 years ago

What is the square root of -1

patriot [66]

Answer:

Step-by-step explanation:

This is the answer you get when you square and you get a negative number.

6 0

3 years ago

To help solve the trigonometric inequality sec

lukranit [14]

Answer:

Y=-1

Step-by-step explanation:

Well i pulled up to ann old amigos house scowering out for some drugs when i stumbled upon this math question. I used my smarts I learned while hopping walls to get my freedome to give you the answer that you have now obtained. Your welcome - Senior Altuvai

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3 years ago