Noah bought a digital camera for $90. The tax rate is 6%.
What is the total amount Noah paid for the digital camera?

The equations correctly set up the law of cosines to solve for x will be x² = 5² + 8² - 2 (5)·(8) cos 55°. Then the correct option is B.

The squared of the size of any solitary side of either a triangle is equal, by the cosine rule, to the total of the squares of the lengths of the other two sides, times by the cosine of something like the angle they are a part of.

Let the triangle ΔABC, then the cosine law is given as,

c² = a² + b² - 2 a·b cos C

From the graph, the measure of the length 'x' is calculated as,

x² = 5² + 8² - 2 (5)·(8) cos 55°

The equations correctly set up the law of cosines to solve for x will be x² = 5² + 8² - 2 (5)·(8) cos 55°. Then the correct option is B.

More about the cosine law link is given below.

https://brainly.com/question/17289163

#SPJ5

Answer:

Number of volleyballs bought = 8

Number of basketballs bought = 11

Step-by-step explanation:

Given that:

Total amount spent = $204.20

Let,

x be the number of volleyballs

y be the number of basketballs

According to given statement;

y = x+3     Eqn 1

8.20x+12.60y=204.20     Eqn 2

Putting value of y from Eqn 1 in Eqn 2

8.20x + 12.60(x+3) = 204.20

8.20x + 12.60x + 37.80 = 204.20

20.80x = 204.20 - 37.80

20.80x = 166.40

Dividing both sides by 20.80

[tex]\frac{20.80x}{20.80}=\frac{166.40}{20.80}\\x=8[/tex]

Putting x=8 in Eqn 1

y = 8+3 = 11

Hence,

Number of volleyballs bought = 8

Number of basketballs bought = 11

Answer:

7x+12

Step-by-step explanation:

You do 10x-3x since they both have the x variable they can be combined to make 7x and the 12 is left alone.

Answer:

7x + 12

Step-by-step explanation:

irs gonna go like

10x -3x =7x

and the answer is

7x+12

Answer:

-3

Step-by-step explanation:

y=mx+b

m is slope

Answer:

-3 would be the correct answer

Answer:

The rate's aren't equivalent.

Step-by-step explanation:

If you find a common number of hours between the two expressions such as 24 hours you will see that the pay isn't the same. $24 for 6 hours of work ($4:1hr) can be turned into $96 for 24 hours of work and $36 hours for 8 hours of work ($4.5:1) turns into $108 for 24 hours of work.

Answer:

Step-by-step explanation:

21/25

i just had this question a couple days ago lol

Answer:

thx for the points thats what you get for not answering my question properly and stealing points

Step-by-step explanation:

Answer:

since equation 1 says that X= 1

any other equation saying x=1 will be valid!

Equation A

Equation B

Equation C

Equation D

all correct

Answer:

14c + 21d - 42

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

Answer:

Step-by-step explanation:

4/52 times 3/51=1/221

Answer:

5x + 7y = -42

Step-by-step explanation:

This question will be a little easier to answer if we change the form of the original equation from slope intercept to standard form:

[tex]y=(-5/7)x-7\\(5/7)x+y=-7\\5x+7y=-49[/tex]

All parallel lines have the same slope, but what does that mean when our equation's in standard form. Well, slope only depends on the coefficients of the x and y terms, so any equation of a line in standard form with 5x + 7y on the left side will be parallel to the one in the problem. Looking through the possible choices, B. 5x + 7y = -42 is the only one that works.

Using desmos to check our work, we can see that the two lines are actually parallel!

Answer:

m= −7/3

(x1,y1)=(−3,8)

(x2,y2)=(0,1)

Use the slope formula:

m=

y2−y1

x2−x1

=

1−8

0−−3

=

−7

3

=

−7

3

Answer:

0.6

Step-by-step explanation:

oki so to make it easier, you can convert 3/5 to 60/100

60 out of 100 is 0.6

Hope this helps! :D

Answer:

Linear

Step-by-step explanation:

Both top and bottom are going up at a constant rate

x is going up by 9 and

y is going up by 7

Answer:

well- you cant buy any pounds-

Step-by-step explanation:

Answer:

8/7, 8/7

Step-by-step explanation:

Answer:

You might have to round, but ≈1.2015

Step-by-step explanation:

butter: flour

23 : 134 is really just a:b

b = 7, so: a : 7

Divide both sides by 134, so

≈0.172 : 1

Multiply by 7 to get 7 cups of flour

≈1.2:7

Answer:

The length could be 6, 10, or 15 and the breadth; 5, 3 and 2 respectively

This is because, length x breadth = area

6x5=30

10x3=30

15x2=30

Answer:

y = x - 11

Step-by-step explanation:

First, turn the f(x) into a y:

y = x + 2 + 9

Now, switch the x and y.

x = y + 2 + 9

Add like terms.

2  + 9 = 11

x = y + 11

Now, solve for y. Subtract 11 on both sides.

y = x - 11

Answer:

Difference is the result of subtracting one number from another. ... So, difference is what is left of one number when subtracted from another. In a subtraction equation, there are three parts: The minuend (the number being subtracted from) The subtrahend (the number being subtracted)

Step-by-step explanation:

Answer:

Now,

tan15°=

[tex] \frac{5100}{ae} [/tex]

ae=

[tex] \frac{5100}{tan15} [/tex]

.: ae = 19033.45

.: the aeroplane is 19033.45 m away from the control tower.

Answer:

Height of jump rope used over time.

Step-by-step explanation:The Height is stable and even so not an elevator as it goes to multiple floors not just one and is not used frequently after the same amount of time.Not the rest for the same reason.Jump rope as it can be uniform in height and time unlike the rest.

Answer:

(i) 7 one is equivalent is equivalent to [tex]\frac{7}{100}[/tex] hundreds, (ii) 1400 tenths is equivalent to 14 tens.

Step-by-step explanation:

We proceed to find the equivalent number in rational form:

(i) 7 one is equivalent to how many hundreds? In this case, we know that 7 one is equivalent to [tex]x[/tex] hundreds. That is:

[tex]7\times 1 = x \times 100[/tex]

Then, we solve the expression for [tex]x[/tex]:

[tex]x = \frac{7\times 1}{100}[/tex]

[tex]x = \frac{7}{100}[/tex]

7 one is equivalent is equivalent to [tex]\frac{7}{100}[/tex] hundreds.

(ii) 1400 tenths is equivalent to how many tens? In this case, 1400 tenths is equivalent to [tex]x[/tex] tens. That is:

[tex]1400\times \frac{1}{10} = x\times 10[/tex]

Then, we solve for [tex]x[/tex]:

[tex]x = \frac{1400}{10\times 10}[/tex]

[tex]x = \frac{1400}{100}[/tex]

[tex]x = 14[/tex]

1400 tenths is equivalent to 14 tens.

-- least common multiple of 36, 6, 3 = 36

- it is the smallest number divisible by all three.

Answer:

7

Step-by-step explanation:

All you have to do is divide 42 by 6 and you get 7!

I hope this helps and have a great day!

Answer:

$340

Step-by-step explanation:

We are told that the pool measures 15 feet by 30 feet,

Since the cost of the wood around it is per yards, let's convert this measurement to yards.

15 ft = 5 yards

30 ft = 10 yards

The deck is 3 ft wide. Converting to yards it is 1 yard.

Since the deck is round the pool, it means when we add it to the pool dimensions, we now have a dimension of; width: 7 yards by length: 12 yards

Thus, total area of pool and deck is;

A_t = 7 × 12 = 84 Sq.yds

Area of only pool is;

A_p = 5 × 10 = 50 Sq.yds

Finally, area of the deck will be;

A_d = 84 Sq.yds - 50 Sq.yds = 34 Sq.yds

We are told that the costs of the wood is $10 per Sq.yds

Thus, total cost is;

C = 10 × 34

C = $340

The last one , because I will now solve it for you and prove therefore.

x²–4x+5=0;

D=(–4)²–4•5=16–20= –4= (2i)².

So:

x1= (4–2i)/2= 2–i

x2= (4+2i)2= 2+i.

This is the whole answer....

Three other u will solve by yourself and have roots which will not be suitable.

- increase

because 80 is greater than 50.

50 - 80

----------- = 30/50 = 0.6

  50

answer:

- the change is an increase by 60%

Answer:

increase of 60%

Step-by-step explanation

The change from 50 to 80 is an increase of 30

To calculate percentage increase

[tex]\frac{change}{original}[/tex] × 100%

= [tex]\frac{30}{50}[/tex] × 100%

= 60% increase