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3 years ago

BRAINLIEST WILL BE GIVEN TO 1ST ANSWER THAT IS RIGHT

Mathematics

2 answers:

artcher [175]3 years ago

6 0

One

Since B and C are equal, you can with with C to get your answer.

In general the Cos(C) = adjacent / hypotenuse. Whatever you find out about C will apply to B.

The Cos of C = DC/AC

That is also the cos of B. Answer <<<<<

Two

This is a little bit nasty. Just go by the letters on the triangle. The small letters, not the capitals. b is the hypotenuse so whatever you answer, will not be the sine of anything or the cos of anything. That cuts out answers B, C and E

So a tangent = opposite divided by the adjacent. You want a/c

a is the opposite and c is the adjacent.

Tan (A) is the answer That's A.

Problem 3

The first thing I would do is to check to see that you are working with a right angle triangle. You probably are, but it will be quite nasty is not. The longest side is 22.5 so it have to be the hypotenuse.

a = 18

b = 13.6

c = 22.5

18^2 + 13.6^2 = ? 22.5^2

324 + 184.96 = 506.25 These are not equal, so you are not working with a right angle. You have 3 sides so you can use the cos law to find the two angles.

We'll find the angle opposite 18 first

b^2 = a^2 + c^2 - 2ac*cos(B)

18^2 = 22.5^2 + 13.6^2 - 2*22.5*13.6*Cos(B)

324 = 506.25 + 184.96 - 612*Cos(B)

324 = 691.21 - 612*cos(B)

324 - 691.21 = - 612*cos(B)

-367.21 = - 612*cos(B)

-367.21 / -612 = cos(B)

0.6 = cos(B)

B = cos-1(0.6)

B = 53.13 degrees. Round to whatever seems right.

===============================

c = 13.6 so we are now looking for C.

I'm just going to outline what should be done. You can fill in the steps.

13.6^2 = 22.5^2 + 18^2 - 2*18*22.5*Cos(C)

184.96 = 506.25 + 324 - 810*cos(c)

184.96 = 830.25 - 810*cos(C)

-645.29 = - 810*cos(C)

0.7967 = cos(C)

C = cos-1(0.7967)

C = 37.18 degrees. I don't think I trust this. It looks too close to a right angle, but it is the answer I'm getting.

Anna [14]3 years ago

3 0

The given info is sufficient to warrant the conclusion that both triangles are 45-45-90 triangles.

The measure of angle B is 45 degrees, or pi/4 radians.

The cosine of this angle B is 1/√2, or √(2)/2. This is approx. 0.707.

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Brainliest question please help please help me now plz

Kruka [31]

Answer:

Option A) Inside the circle

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The radius is equal to the distance from the center to any point on the circle

the formula to calculate the distance between two points is equal to

$d\sqrt{(y2-y1)^2+(x2-x1)^2 }$

we have

A(-5,-8),M(-1,-3)

substitute the values

$r=\sqrt{(-3+8)^{2}+(-1+5)^{2}}$

$r=\sqrt{(5)^{2}+(4)^{2}}$

$r=\sqrt{41}\ units$

step 2

Find the distance from the center to point V

we know that

If the distance from the center to point V is equal to the radius, then the point V lie on the circle

If the distance from the center to point V is less than the radius, then the point V lie inside the circle

If the distance from the center to point V is greater than the radius, then the point V lie outside the circle

we have

A(-5,-8),V(-11,-6)

substitute in the formula

$d=\sqrt{(-6+8)^{2}+(-11+5)^{2}}$

$d=\sqrt{(2)^{2}+(-6)^{2}}$

$d=\sqrt{40}\ units$

$\sqrt{40}\ units< \sqrt{41}\ units$

The distance from the center to point V is less than the radius

therefore

The point V lie inside the circle

Hope that helped :)

8 0

3 years ago

Find the accumulated value of an investment $10,000 for 3 years at an interest of 7% if the money is compounded semiannually; co

asambeis [7]

Answer:

Correct answer: 1) AV = 12,290 $, 2) AV = 12,310 $, 3) AV = 12,330 $,

4) AV = 12,337 $

Step-by-step explanation:

Given:

I = 10,000$

n = 3 years

p = 7% = 0.07

Accumulated value of an investment is calculated with next formula:

AV = I · (1 + (p/a))ᵃⁿ where is:

AV - accumulated value

I - investment

p - interest

a - number of calculation parts during one year as the accounting period

n - number of years as the accounting period

1) money is compounded semiannually

a = 2 and a · n = 2 · 3 = 6

AV = I · (1 + (p/a))ᵃⁿ = 10,000 · (1 + (0.07/2))⁶ = 10,000 · 1.229 = 12,290 $

AV = 12,290 $

2) money is compounded quarterly

a = 4 and a · n = 4 · 3 = 12

AV = I · (1 + (p/a))ᵃⁿ = 10,000 · (1 + (0.07/4))¹² = 10,000 · 1.231 = 12,310 $

AV = 12,310 $

3) money is compounded monthly

a = 12 and a · n = 12 · 3 = 36

AV = I · (1 + (p/a))ᵃⁿ = 10,000 · (1 + (0.07/12))³⁶ = 10,000 · 1.233 = 12,330 $

AV = 12,330 $

4) money is compounded continuously

Accumulated value of an investment continuously compounded is calculated with next formula:

AV = I · eⁿᵇ where is:

n - number of years as the accounting period

b = p = 7% = 0.07

n · b = 3 · 0.07 = 0.21

AV = 10,000 e⁰²¹ = 10,000 2.7183⁰²¹ = 10,000 1.2337 = 12,337 $

AV = 12,337 $

God is with you!!!

8 0

3 years ago

Need help. i dont understand this!!!

Ilia_Sergeevich [38]

By the quadratic formula, the solution set of the quadratic equation is formed by two real roots: x₁ = 0 and x₂ = - 12.

<h3>How to find the solution of quadratic equation</h3>

Herein we have a quadratic equation of the form a · m² + b · m + c = 0, whose solution set can be determined by the quadratic formula:

x = - [b / (2 · a)] ± [1 / (2 · a)] · √(b² - 4 · a · c) (1)

If we know that a = - 1, b = 12 and c = 0, then the solution set of the quadratic equation is:

x = - [12 / [2 · (- 1)]] ± [1 / [2 · (- 1)]] · √[12² - 4 · (- 1) · 0]

x = - 6 ± (1 / 2) · 12

x = - 6 ± 6

Then, by the quadratic formula, the solution set of the quadratic equation is formed by two real roots: x₁ = 0 and x₂ = - 12.

To learn more on quadratic equations: brainly.com/question/1863222

#SPJ1

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2 years ago

The smallest number that must be added to 1300 to make it a perfect cube is

Black_prince [1.1K]

Answer:

d. 31.

Step-by-step explanation:

11^3 = 1331

31.

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3 years ago

If g(x) = 2x2 + bx + 5 and g(1) = 4, what is the value of g(-1)?

gulaghasi [49]

Here is the answer.hope it helps...

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3 years ago