All categories

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.

You might be interested in

Jeremy used 11 gallons and 3 quarts of water to water his garden. How many quarts of water did Jeremy use?

Anon25 [30]

Answer:

Step-by-step explanation:

since each gallon is 4 quarts you would multiply by 11. 44 quarts then add 3 extra quarts to get 47

6 0

3 years ago

A circle has a diameter of 18in is 1 in approximately 2.5 cm is what is a diameter in centimeters

sergejj [24]

Answer:

Answer: 45

Step-by-step explanation:

Well it seems like your answer would follow along with is:

`18x2.5=45

Hope this helps good sir!

3 0

3 years ago

PLEASE HELP AND SHOW WORK PLEASE.

Vaselesa [24]

Inequalities help us to compare two unequal expressions. There exists no solution to the given set of inequalities.

<h3>What are inequalities?</h3>

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The given Inequalities can be solved as,

5 - x > 7

-x > 7 - 5

-x > 2

x < -2

2x + 3 ≥ 13

2x ≥ 10

x ≥ 5

As per the solution of the two inequalities, the value of x should be less than -2 but at the same time, it should be more than or equal to 5, which is impossible. Thus, there is no solution for the given inequalities.

This can be confirmed by graphing the two inequalities, as shown below. Since there is no area in common between the two inequalities, there exists no solution to the given set of inequalities.

Learn more about Inequality:

brainly.com/question/19491153

#SPJ1

4 0

2 years ago

What is the value of f(-4)

maria [59]

(-4) is the same as x, so looking the conditions that are the results for the function, you realize:

-2 is the result of the function to the values of X that are under -3: the result will be -2 if x < -3

x < -3 ; x = -4 ; -4 < -3 (it's true), in other words, -4 is less than -3, so f(-4) = -2

8 0

3 years ago

in exercises 15-20 find the vector component of u along a and the vecomponent of u orthogonal to a u=(2,1,1,2) a=(4,-4,2,-2)

Nimfa-mama [501]

Answer:

The component of $\vec u$ orthogonal to $\vec a$ is $\vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right)$ .

Step-by-step explanation:

Let $\vec u$ and $\vec a$ , from Linear Algebra we get that component of $\vec u$ parallel to $\vec a$ by using this formula:

$\vec u_{\parallel \,\vec a} = \frac{\vec u \bullet\vec a}{\|\vec a\|^{2}} \cdot \vec a$ (Eq. 1)

Where $\|\vec a\|$ is the norm of $\vec a$ , which is equal to $\|\vec a\| = \sqrt{\vec a\bullet \vec a}$ . (Eq. 2)

If we know that $\vec u =(2,1,1,2)$ and $\vec a=(4,-4,2,-2)$ , then we get that vector component of $\vec u$ parallel to $\vec a$ is:

$\vec u_{\parallel\,\vec a} = \left[\frac{(2)\cdot (4)+(1)\cdot (-4)+(1)\cdot (2)+(2)\cdot (-2)}{4^{2}+(-4)^{2}+2^{2}+(-2)^{2}} \right]\cdot (4,-4,2,-2)$

$\vec u_{\parallel\,\vec a} =\frac{1}{20}\cdot (4,-4,2,-2)$

$\vec u_{\parallel\,\vec a} =\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right)$

Lastly, we find the vector component of $\vec u$ orthogonal to $\vec a$ by applying this vector sum identity:

$\vec u_{\perp\,\vec a} = \vec u - \vec u_{\parallel\,\vec a}$ (Eq. 3)

If we get that $\vec u =(2,1,1,2)$ and $\vec u_{\parallel\,\vec a} =\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right)$ , the vector component of $\vec u$ is:

$\vec u_{\perp\,\vec a} = (2,1,1,2)-\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right)$

$\vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right)$

The component of $\vec u$ orthogonal to $\vec a$ is $\vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right)$ .

4 0

3 years ago