The law of cosines is a2 +62 - 2abcosC = (2. Find the value of 2abcosC.
2
4
B
A
5

The Law Of Cosines Is A2 +62 - 2abcosC = (2. Find The Value Of 2abcosC.24BA5

Answers

Answer 1

Answer:

[tex]2abcosC = 37[/tex]

Step-by-step explanation:

Given

[tex]a^2 + b^2 - 2abcosC = c^2[/tex]

Required

[tex]2abcosC[/tex]

[tex]a^2 + b^2 - 2abcosC = c^2[/tex]

Add [tex]2abcosC[/tex] to both sides

[tex]a^2 + b^2 - 2abcosC+2abcosC = c^2+2abcosC[/tex]

[tex]a^2 + b^2 = c^2+2abcosC[/tex]

Subtract [tex]c^2[/tex] from both sides

[tex]a^2 + b^2 -c^2= c^2 -c^2+2abcosC[/tex]

[tex]a^2 + b^2 -c^2= 2abcosC[/tex]

From the attachment:

[tex]a = 4[/tex] [tex]b = 5[/tex] and [tex]c = 2[/tex]

So, we have:

[tex]4^2 + 5^2 -2^2= 2abcosC[/tex]

[tex]16 + 25 -4= 2abcosC[/tex]

[tex]37= 2abcosC[/tex]

i.e.

[tex]2abcosC = 37[/tex]

Answer 2

Answer:

A. 37

Step-by-step explanation:


Related Questions

Which math expression means "the difference of 40 and 12"?
O A. 40.12
O B. 40 + 12
O C. 40 - 12
O D. 40 = 12

Answers

Answer:

Step-by-step explanation:

is C

40-12

Answer:

O C. 40 - 12

difference means the range between the two given values

what is the geomectric theory on the number system and how is was created

Answers

Answer:

b

Step-by-step explanation:

I got it right on the quiz

Answer:

It is 53

Step-by-step explanation:

I dont know

What does 8×9 equals?
1. 72
2.85
3.34
4.56

Answers

Answer:

8x9=72

Step-by-step explanation:

I hope that this helps u out..there is not really any explanation

Answer:

72

Step-by-step explanation:

8 Times Table

8 × 1 = 8

8 × 2 = 16

8 × 3 = 24

8 × 4 = 32

8 × 5 = 40

8 × 6 = 48

8 × 7 = 56

8 × 8 = 64

8 × 9 = 72

8 × 10 = 80

8 × 11 = 88

8 × 12 = 96

Hannah took out a loan to buy a new car. She also used some money from a savings account when she bought the car. Hannah's loan was for $18,000 at 0% interest. Her monthly payment is $300 per month Which graph best models the relationship between the amount of money left to be paid on the loan and number of monthly payments ?

Answers

Answer: A

Step-by-step explanation:


hiii please help if you can

Answers

Answer:

Correct choices: 2 and 4

Step-by-step explanation:

These two line segments have a positive slope.

Answer:

Choice B and D!

Step-by-step explanation:

Interval 2 goes up after going at a constant rate and interval 4 goes up from decreasing

what is the answer to this eqution 3.5(x+2)=-4 ? could you please help me thank you

Answers

Answer:

x=-3.14

or -3 with -.5 remainder

Step-by-step explanation:

PEMDAS

Parenthesis Exponent Multiply Divide Add Subtract

parenthesis  3.5*x=3.5x 3.5*2=7

3.5x+7=-4

subtract 7 from both sides

3.5x=-11

divide both sides by 3.5

x=-3.14

or -3 with -.5 remainder

Answer:

x=-22/7

Step-by-step explanation:

multiply 3.5 and x then multiply 3.5 and 2. this will get you 3.5x+7=-4. next you need to subtract the 7 from the -4, resulting in 3.5=-11. finally divide -11 and 3.5, after that you get the answer of x=-22/7 or -3 1/7. if you need decimal form that will be -3.142857

a baker needs 3/5 cup of water 2/3 cup flour using this ratio how much flour is needed for 1/3 cup water?


10/27 cup

3/10 cup

2/15 cup

1/36 cup

Answers

Answer:

10/27 cups

Step-by-step explanation:

y = how much flour is needed

set up proportion of water to flour equals water to flour

[tex]\frac{3/5}{2/3}[/tex] = [tex]\frac{1/3}{y}[/tex]

cross-multiply:  3/5 y = 2/9

multiply each side by the reciprocal of 3/5

5/3 · (3/5)y = 2/9 · (5/3)

y = 10/27

Answer: 10/27 cups flour.

Step-by-step explanation:

Compare fractions 3/5 and 1/3:

[tex]\dfrac{3}{5}=\dfrac{3 \times 3}{5 \times 3} =\dfrac{9}{15} \\\\ \dfrac{1}{3}=\dfrac{1 \times 5}{3 \times 5} =\dfrac{3}{15}\\\\\dfrac{3}{15} < \dfrac{9}{15}[/tex]

1/3 is less than 3/5 because 3/15 is less than 9/15.

Find how many times 1/3 is less than 3/5:

[tex]\dfrac{3}{5} \div \dfrac{1}{3} =\dfrac{3}{5} \times \dfrac{3}{1}=\dfrac{9}{5}[/tex]

This means that flour should also be taken 9/5 times less:

[tex]\dfrac{2}{3} \div \dfrac{9}{5} =\dfrac{2}{3} \times \dfrac{5}{9} =\dfrac{10}{27}[/tex]

1.Name of the ? segment
2.Length of the ? segment

Answers

Answer:

3 and AC

Step-by-step explanation:

3 and AC i’m not sure

Of the 80 girls in Joy's class, 24 have blond hair. What percent of girls in Joy's class have blond hair?

Answers

Answer:

30%

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

To determine the percentage of the girls with blonde hair...it means we will have to use this formula

Number of girls with blonde hair/total numbers of girls ×100

Number of girls with blonde hair is 12

Total number of girls is 80

Therefore,12/80 ×100

1200/80

120/8

15

Therefore the percentage of the girls with blonde hair is 15%

A department store is offering a discount on purchases of $75 or more. Monica sees a pair of
sunglasses and a hat that she wants. The sunglasses cost $32.50 and the hat costs $27.95.
How much more will Monica need to spend to get the discount?

Answers

she needs to spent 14.55 more

PLEASE HELP!!!!! MEEE

Answers

Answer:

.............

Step-by-step explanation:

At Simon's Pet Store, 6% of the animals are lizards. What fraction of the animals are lizards?​

Answers

Answer:

3/50

Step-by-step explanation:

Well according to the information we have the fraction would be

6/100 being 6% as 6/100

Then simplified is 3/50

hope this helps

Answer:

Step-by-step explanation:

6% = [tex]\frac{6}{100}[/tex]=[tex]\frac{3}{50}[/tex]

help !? please!!!!!!

Answers

Answer:

slope is 1/3

Step-by-step explanation:

In between the points, you go up one, and forward 3. it can't be a negative slope cause it aint going down. And the slope of 3 is steep last time I checked.

Answer:

m=1/3

Step-by-step explanation:

you can do rise over run or y2-y1/x2-x1 with two coordinate points

Find x using the Pythagorean formula. ​

Answers

I think the answer is X=50

EASY POINTS ASAP:
The table shows a function. Is he function linear or nonlinear ?

Answers

answer : the answer is nonlinear

(5x^5) - (80x^3)
factoring

Answers

Answer:

Factoring the term [tex](5x^5) - (80x^3)[/tex] we get [tex]\mathbf{5x^3(x-4)(x+4)}[/tex]

Step-by-step explanation:

We need to factor the term [tex](5x^5) - (80x^3)[/tex]

First we can see that [tex]5x^3[/tex] is common in both terms

So, taking [tex]5x^3[/tex] common:

[tex](5x^5) - (80x^3)\\=5x^3(x^2-16)[/tex]

We can write [tex]x^2-16[/tex] as [tex](x)^2-(4)^2[/tex]

[tex]=5x^3((x)^2-(4)^2)[/tex]

Now we can solve [tex](x)^2-(4)^2[/tex] using the formula: [tex]a^2-b^2=(a+b)(a-b)[/tex]

We can write:

[tex]=5x^3((x)^2-(4)^2)\\=5x^3(x-4)(x+4)[/tex]

So, factoring the term [tex](5x^5) - (80x^3)[/tex] we get [tex]\mathbf{5x^3(x-4)(x+4)}[/tex]

Find the equation of a line that passes through (2,9) and is parallel to the graph of y=3x+5 Write the equation in​ slope-intercept form, if possible.

Answers

Answer:

y=3x+3

Step-by-step explanation:

9=3(2)+c

9=6+c

c=3

ANSWER QUICK PLEASE the following graph shows the solution to which inequality?

Answers

I think it’s C I might be wrong tho.

Answer:

D. 5>-3w+17

Step-by-step explanation:

Is (1,8) a solution to this system of equations?
y = 6x + 2
y = x + 7
yes
no

Answers

Yes

Explanation: y = 6x + 2
y = x + 7
Combine the equation
6x + 2 = x + 7
Collect like terms
6x -x = 7 - 2
5x = 5
X = 1
Substitute x =1
Into any equation
y = 6(1) + 2
y= 6 + 2
y= 8

(1,8)

can i get some help pls
It would be nice

Answers

Answer:

sandra

3.14 x 12=37.68

All the other kids didn't get that part right

Step-by-step explanation:

7+(-4) please help thank you

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Note that adding a negative quantity is equivalent to subtracting the negative quantity, that is

7 + (- 4) = 7 - 4 = 3

A subset of values of the function g(x) is shown in the following table.

Answers

Answer:

Option (4)

Step-by-step explanation:

x              g(x)            Ist difference          IInd difference        Ratio

1              13                      -                                   -                        -

2              3                3 - 13 = -10                         -                       [tex]\frac{3}{13}[/tex]  

3             -3               -3 - 3 = -6                   -6 - (-10) = 4            [tex]\frac{-3}{3}=-1[/tex]

4             -5               -5 - (-3) = -2                -2 - (-6) = 4             [tex]\frac{-5}{-3}=\frac{5}{3}[/tex]

5             -3               -3 - (-5) = 2                   2 - (-2) = 4            [tex]\frac{-3}{-5}=\frac{3}{5}[/tex]

This table depicts,

1). Ist difference is not common

2). IInd difference is common

3). Ratio is not common

Therefore, this table represents a quadratic function because the second difference are all the same value.

Option (4) will be the answer.

You get 10 points❄️ Plz plz plz is math

Answers

answer x=-7

explanation:

Madeline has 19 coins in her backpack. Some are nickels and some are quarters. The total value of the coins is $2.15. How many nickels and quarters does she have?

Answers

6 quarters and 13 nickels

Find the value of f(5) for the function. f(a) = 4(a + 4) - 3​

Answers

Answer:

[tex]f(a) = 4(a + 4) - 3 = 4a + 16 - 3 \\ f(x) = 4a + 13 \\ f(5) = 4(5) + 13 = 20 + 13 \\ \boxed{f(5) = 33}[/tex]

33 is the right answer.

Solving One Step Equations. SHOW YOUR WORK
-6 = b/16 solve to find b

Answers

Answer:

-96

Step-by-step explanation:

multiply both sides by 16

I need help cause I’m lazy to do it myself it’s 4 in the morning

Answers

Answer:

C. Mario should have multiplied the x-values by $6.50 to get the y values.

Step-by-step explanation:

Let's do it the way they said. If we were to multiply 1 by 65, it would be $65. If we did the same thing for 2, 2 x 65 is $130. This is incorrect because these values do not match up with the ones on the graph.

Decimal points are important in this case because it completely changes your answer. When you multiply 1 by 6.50, you get 6.50. Which is what's on the graph. Multiply 2 by 6.50 and you'll get $13, and so on.

So now we can conclude that the mistake Mario made was that he multiplied x by the wrong value (65), when it should have been $6.50.

Note: Hope this helps! Good luck on your test. :)

i’ll give u brainliest!! what is the area of shape 1 2 and 3

Answers

Answer:

Shape 1: 197.04

Shape 2: 125.44

Shape 3: 62.72

Step-by-step explanation:

For shape 1, you first need to find the radius to then find the area of a circle. Which is 394.08. Since this isn't a full circle, you will need to divide it by 2 to get 197.04. For shape 2(Easiest to find) You do 11.2*11.2 to get the answer of 125.44. And lastly for shape 3, you can basically do the same as what you did for shape 2. But since it is a triangle, you divide your answer by 2, to get the answer of 62.72.

Answer:

yes

Step-by-step explanation:

50 points !!!!!!!!!!!!!!!!! please help
I will give bairnleast

Answers

Answer:

3rd ome

Step-by-step explanation:

Answer:

The answer is a

Step-by-step explanation:

please I beg next time post a clear picture

the answers are not clear


An object flies 450 m/s. How many meters will is
travel in one hour?

Answers

Answer:

1,620,000 meters

Step-by-step explanation:

Speed-   450 meter----- 1 second

1 minute = 60 seconds

60 minutes (1 hour) = 3600 seconds

Distance in 1 hour

1 ------ 450

3600---- X

X= 3600 x 450

x= 1,620,000 meters

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