If the length of a is 6, the length of b is 4, and the length of c is 7, what is the measure of angle B

Answers

Answer 1

Answer:

B = 34.77°

Step-by-step explanation:

For this problem you are given all three side lengths and asked to find an angle. To do this you can use the law of cosines which is written:

[tex]b^{2} =a^{2} +c^{2} -2ac Cos(B)[/tex]

This can be rearranged to find the angle B:

[tex]b^{2} -a^{2} -c^{2} /-2ac = Cos(B)[/tex]

With lowercase letters being sides and uppercase being angles.

We simply plug in the sides and solve:

[tex]4^{2} -6^{2} -7^{2}/-2*6*7= Cos(B)[/tex]

0.8214 = Cos (B)

Then you use inverse cosine to get angle B alone.

B = 34.77°


Related Questions

Can someone help me with this math homework please!

Answers

Answer:

See step by Step

Step-by-step explanation:

Both are correct. As long as we undo the operations that was given from the original term to both sides until we get the variable by itself., any way can be applied.

Both, Spencer and Jeremiah are correct. We can verify this by testing their methods.

Spencer's method:

[tex]6x - 2 = - 4x + 2[/tex]

[tex]6x - 2 + 4x= - 4x + 2 + 4x[/tex]

[tex]10x - 2 = 2[/tex]

[tex]10x = 2 + 2[/tex]

[tex]10x = 4[/tex]

[tex]x = \frac{4}{10} [/tex]

[tex]x = 0.4[/tex]

Jeremiah's method:

[tex]6x - 2 = - 4x + 2[/tex]

[tex]6x - 2 - 6x = - 4x + 2 - 6x[/tex]

[tex] - 2 = - 10x + 2[/tex]

[tex] - 2 - 2 = - 10x[/tex]

[tex] - 4 = - 10x[/tex]

[tex] \frac{ - 4}{ - 10} = x[/tex]

[tex]0.4 = x[/tex]

As seen, we get the correct answer by using Spencer's and Jeremiah's method. So, we can say that they both are correct.

Can someone help me with this math homework please!

Answers

The answer is either B or D, but I am pretty sure it is D

A conditional statement is logically equivalent to a biconditional statement. True False pls help i have a test and i was absent for 3 days i know nothing about this help help help help pls

Answers

Answer:

false.

Step-by-step explanation:

A conditional statement is something like:

If P, then Q.

This means that if a given proposition P is true, then another proposition Q is also true.

An example of this is:

P = its raining

Q = there are clouds in the sky.

So the conditional statement is

If its raining, then there are clouds in the sky.

A biconditional statement is:

P if and only if Q.

This means that P is only true if Q is true, and Q is only true if P is true.

So, using the previous propositions we get:

Its raining if and only if there are clouds in the sky.

This statement is false, because is possible to have clouds in the sky and not rain.

(this statement implies that if there are clouds in the sky, there should be rain)

Then we could see that for the same propositions, the conditional statement is true and the biconditional statement is false.

Then these statements are not logically equivalent.

The statement is false.

What is the domain of the following function ?

Answers

Answer:

{-6, 1, 5, 8}

Step-by-step explanation:

The domain is the set of x-coordinates or inputs.

{-6, 1, 5, 8}

Answer is A
-6, 1, 5, 8

Domain is always gonna be in the left side of the relation, while range is the right (7, -2.)

what are all the factors 24? please help lol

Answers

Answer:

factors are 1,2,3,4,6,8,12,24

What is the next term in the sequence below?
1, 2, 4, 8, 16, . . .
A. 24
B. 32
C. 34
D. 64

Answers

B. 32 is the correct answer

B

the number doubles by itself

Directions: Given the point and slope, write the equation of the line.
(4, 2); slope = 36

Answers

Answer:

y - 2 = 36(x - 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 36 and (a, b ) = (4, 2 ) , then

y - 2 = 36(x - 4) ← equation of line

What is the value of x to the nearest tenth?
A) 29.5
B)18.5
C)37.0
D)40.8

Answers

The answer is C 37.0 I’m not sure

Problem 2. Joe has 7 shirts 4 pairs of pants and 2 pairs of shoes.He needs to make an outfit containing one of each item.How many different outfits are possible?

Answers

Answer:

56 different outfits

Step-by-step explanation:

Replace ∗ with a monomial so that the trinomial may be represented by a square of a binomial: b2 + 20b +*

Answers

Given:

The expression is:

[tex]b^2+20b[/tex]

To find:

The a monomial so that the trinomial may be represented by a square of a binomial.

Solution:

If an expression is [tex]x^2+bx[/tex], then be need to add square of half of coefficient of x, i.e., [tex]\left(\dfrac{b}{2}\right)^2[/tex] in the given expression to make in perfect square.

We have,

[tex]b^2+20b[/tex]

Here, coefficient of b is 20,so wee need to add square of half of coefficient of b, i.e., [tex]\left(\dfrac{20}{2}\right)^2[/tex].

[tex]\left(\dfrac{20}{2}\right)^2=10^2[/tex]

[tex]\left(\dfrac{20}{2}\right)^2=100[/tex]

Therefore, we need to add 100 to make [tex]b^2+20b[/tex] a perfect square binomial.

−3x−8y=−8 y=2−x ​ Is (0,1)(0,1)left parenthesis, 0, comma, 1, right parenthesis a solution of the system?

Answers

Answer:

(0,1) is not the solution to the equation

Step-by-step explanation:

Given:

−3x − 8y = −8 (1)

y = 2 − x ​ (2)

Substitute (2) into (1)

−3x − 8y = −8 (1)

- 3x - 8(2 - x) = -8

- 3x - 16 + 8x = -8

- 3x + 8x = -8 + 16

5x = 8

x = 8/5

Substitute x = 8/5 into (2)

y = 2 − x ​ (2)

= 2 - 8/5

= (10-8) / 5

= 2/5

y = 2/5

Solution to the equation:

(x, y) = (8/5, 2/5)

Therefore,

(0,1) is not the solution to the equation

If the radius of circle is 50cm then find its area?​

Answers

Answer:

Area=7850 cm

Step-by-step explanation:

Since the formula for area is A=c(radius squared), we need to plug in the radius first. 50x50=2500. We can identify 'pi' as 3.14 and use that decimal instead of a longer one. The product of 2500 and 3.14 is 7850. Therefore, your answer is 7850 cm

If a 1 = −3 and a n = −2an − 1, what is the fifth term of the sequence?

Answers

Answer:

d

Step-by-step explanation:

o

Step-by-step explanation:

There's on;ly one way I know of that this can be done.You must start at a1 and work your way up to a5

a1 = -3n that's given

a2 =

Find the average rate of change of g(x)=-2x^3-5 from x=-4 to x=1

Answers

Answer:

26

Step-by-step explanation:

We have the average rate of change on the interval [a,b] as

f(b)-f(a)/(b-a)

b = 1 and a = -4

f(b) = f(1) = -2(1)^3 -5 = -2-5 = -7

f(a) = f(-4) = -2(-4)^3 -5 = 128 -5 = 123

so we have;

(123 + 7)/(1+4) = 130/5 = 26

help help help pls :)

Answers

Answer:

[tex]opposite\approx 70.02[/tex]

Step-by-step explanation:

The triangle in the given problem is a right triangle, as the tower forms a right angle with the ground. This means that one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are as follows;

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

Please note that the names ([tex]opposite[/tex]) and ([tex]adjacent[/tex]) are subjective and change depending on the angle one uses in the ratio. However the name ([tex]hypotenuse[/tex]) refers to the side opposite the right angle, and thus it doesn't change depending on the reference angle.

In this problem, one is given an angle with the measure of (35) degrees, and the length of the side adjacent to this angle. One is asked to find the length of the side opposite the (35) degree angle. To achieve this, one can use the tangent ([tex]tan[/tex]) ratio.

[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]

Substitute,

[tex]tan(35)=\frac{opposite}{100}[/tex]

Inverse operations,

[tex]tan(35)=\frac{opposite}{100}[/tex]

[tex]100(tan(35))=opposite[/tex]

Simplify,

[tex]100(tan(35))=opposite[/tex]

[tex]70.02\approx opposite[/tex]

What is the approximate value of x. Enter only a numeric answer rounded to the nearest tenth

Answers

Answer:

14.9 degrees

Step-by-step explanation:

For this problem you can use Tan∅=o/a and solve for the angle:

15.7 / 59 = 0.2661

Then use inverse tangent of 0.2661 to get 14.9.

Given the net of the rectangular prism, what is its surface area?

Answers

Answer:

D. 160

Step-by-step explanation:

Efectúa las siguientes operaciones, aplicando la propiedad distributiva de la multiplicación. De ser posible simplifique los resultados

e) 3√2 (2√6-√4-5√6-6)

f) -5√2 (√9+√8-3√4-1)

Answers

Answer:

Step-by-step explanation:

e) 3√2 (-3√6 -2 -6)

3√2 (-3√6 - 8)

-9√12 - 24√2

-9√(2^2 * 3) - 24√2

-18√3 - 24√2

or

6(-3√3 - 4√2)

f) -5√2 (3 + 2√2 - 6 - 1)

-5√2(-4 + 2√2)

20√2 - 20

or

20(√2 - 1)

PLEASE HELP ASAP WHAT IS THE ANSWER TO THIS QUADRATIC EQUATIONNNN

Answers

Answer:

pls i don't know

The answer is A. 2

This is because the stretch of the parabola is elongated by 2!

211 base x is equal to 10110 base 2 ​

Answers

Hello,

[tex](211)_x=(10110)_2\\\\2*x^2+x+1=22\\\\2x^2+x-21=0\\\Delta=1+4*2*21=169=13^2\\x=\dfrac{-1+13}{4}= 3\\or\\x=\dfrac{-1-13}{4}\ may\ not\ be\ negative\\\\[/tex]

x=3

Juilo spent $64 and now has no money left.He( )had before his purchase​

Answers

Answer:

64->-?

Step-by-step explanation:

he spent 64 and now he has none so he spent all his money

A sheet of plastic has an area of 35 square cm. If the sheet is 5 cm thick, what is the volume?

Answers

Answer:

175 cm³

Step-by-step explanation:

Volume = área * thick

Volume = 35cm² * 5cn

Volume = 175 cm³

Answer:

7cm

Step-by-step explanation:

Area = 35cm²

Length= 5cm

Width=?

A=L×B

B=A/L

B=35/5

B=7cm

Find the measure of the third angle of a triangle if the measures of the other two angles are given.
102.9 and 40.4

Answers

Answer:

36.7

Step-by-step explanation:

180 - 102.9 - 40.4= 36.7

The measure of the third angle of the given triangle after applying the angle sum property of a triangle is 36.7 degrees.

The measures of the two angles of a triangle are 102.9 and 40.4.

We need to find the measure of the third angle.

What is the Angle Sum Property of a triangle?

The angle sum property of a triangle states that the sum of all three interior angles of a triangle is 180 degrees.

If A, B, and C are the interior angles we have,

A + B + C = 180.

Consider the three interior angles to be A, B, and C.

We are given two angles 102.9 and 40.4.

Let  A = 102.9,  B = 40.4.

and C = angle to be measured.

Now,

Applying the angle sum property of a triangle.

We have,

A + B + C = 180

102.9 + 40.4 + C = 180

143.3 + C = 180

C = 180 - 143.3

C = 36.7 degrees.

After applying the angle sum property of a triangle we got the measure of the third angle as 36.7 degrees.

Learn more about the measurement of angles in a triangle here:

https://brainly.com/question/27681289

#SPJ2

A researcher who examines the causal relationship between amount of exercise (i.e., participants are randomly assigned to 30 minutes of exercise per day or no exercise) and memory abilities is using the ______ research design.

Answers

Answer: experimental

Step-by-step explanation:

Experimental research design refers to a research that is conducted with a scientific approach whereby two sets of variables are used. It adheres to the scientific research design.

An experimental research design consist of an hypothesis, a variable which the researcher can manipulate and variables which can be measured. Based on the information given, the experimental research design is used.

Its about similar figures and scale drawing
No links

Answers

Answer:

5 in

Step-by-step explanation:

by doing a proportion of 2/4 for the known sides, you can find that the smaller triangle has sides that are half of the larger one. so 10/2 equals 5

Answer: X = 5

Step-by-step explanation:

4 divided by 2 = 2

So 10 divided by 2 = 5

Express 2 minutes as a percentage of 5 minutes.

Answers

Answer:

40%

Step-by-step explanation:

2 / 5 = 0.40

0.40 x 100 = 40%

1. Paul uses a coordinate plane to design
his model town layout.


Paul moves the market 2 units left and 3
units down. He says the ordered pair for
the new location of the market is (0,6).


Explain Paul's mistake and write the
correct ordered pair for the new location of
the market.

PLZ ALSO INCLUDE WHAT HIS MISTAKE WAS!


ANSWER FOR Brainiest!!!

Answers

If paul moved his market 2 units left and 3 units down his new location would be (1,5) in order for it to be the location (0,6) he would of had to move it 3 units left and 2 units down. so he had it backwards. I hope this helps!

Which ordered pair is a solution of 2x+4y=6x-y

Answers

Answer:

5y=4x

Step-by-step explanation:

SOMEONE PLEASE HELP ME I'M STUCK

Answers

Answer:

57%

Step-by-step explanation:

200+245+125 = 570

570/1000 = .57

Answer:

57%

Step-by-step explanation:

First find the total number of families in the sample.

Total = 350 + 200 + 245 + 125 + 66 + 10 + 4

Total = 1000

Next find the number of families that have 3, 4 or 5 people.

Total(3,4 or 5) = 200 + 245 + 125

Total(3,4 or 5) = 570

Now the % = (Total 3,4 or 5) / Total ) * 100

% = 570 / 1000 * 100

% = 57%

What goes in the blanks? The measure of angle θ is 7π/4. The measure of its reference angle is _____°, and tan θ is ______?

Answers

Answer:

The measure of angle θ is 7π/4. The measure of its reference angle is 45°, and tan θ is -1.

Answered by GAUTHMATH

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