Each week Raisa earns $5.25 for doing chores. After saving money for 12 weeks, Raisa spends $13.45. How much money does Raisa have left?

Answer: 0.2916666665

Step-by-step explanation:

Answer:

[tex]\frac{7}{24}[/tex]

Step-by-step explanation:

By the Pythagorean Theorem, we know

[tex]\cos^2a=1-\sin^2a[/tex].

With this, we can find [tex]\cos a[/tex] by plugging in what we know for [tex]\sin a[/tex]:

[tex]\cos^2a=1-(\frac{4}{5})^2\\~~~~~~~~=1-\frac{16}{25}\\~~~~~~~~=\frac{9}{25}[/tex].

Taking the square root, we get

[tex]\cos a=\frac{3}{5}[/tex] .

Note: there seems to be a problem with the question? It doesn't specify what range [tex]a[/tex] lies in, so we don't know whether [tex]\cos a[/tex] is positive or negative. In this case, I assumed it was positive.

From this, we can find [tex]\tan a[/tex]:

[tex]\tan a=\frac{\sin a}{\cos a}\\~~~~~~~=\dfrac{\frac{4}{5}}{\frac{3}{5}},[/tex]

so [tex]\tan a=\frac{4}{3}[/tex].

Using the [tex]\tan[/tex] difference formula, we know

[tex]\tan (a-b)=\dfrac{\tan a -\tan b}{1+\tan a\tan b}[/tex] .

Plugging in the values we know for [tex]\tan a[/tex] and [tex]\tan b[/tex], we get

[tex]\tan(a-b)=\dfrac{\frac{4}{3}-\frac{3}{4}}{1+\frac{4}{3}\cdot\frac{3}{4}}\\~~~~~~~~~~~~~~=\dfrac{\frac{7}{12}}{1+1}\\~~~~~~~~~~~~~~=\boxed{\frac{7}{24}}~.[/tex]

There are no pictures provided.

( Talking about the models )

Answer: 152

Step-by-step explanation:

Let the number = x.

Therefore, x*25% = 38

25% as a decimal is 0.25.

So, 0.25x = 38

We can divide both sides by 0.25:

x = 152

Answer:

5x + 24y =45. (9,0)

5×9 +24×0 = 45

45 =45

please please please please please please

Using an Empirical approach and the probability concept, it is found that there is a 7% probability that song will be played next.

A probability is given by the number of desired outcomes divided by the number of total outcomes. Using an Empirical approach, these number of outcomes are taken from previous trials.

In this problem, considering the previous 100 songs, the same song was played 7 times, hence:

p = 7/100 = 0.07.

There is a 7% probability that song will be played next.

More can be learned about probabilities at https://brainly.com/question/14398287

Let x = multiple choice, y = true/false, z = essay

(i)

where: x + y + z = 35

We need to solve for y first, in order to know how many essay questions there are, since that is our base.

y + 2y + 4y = 35

(ii)

Now to solve:

y + 2y + 4y = 35

7y = 35

[tex]\frac{7y}{y} = \frac{35}{7}[/tex]

y = 5

Therefore, there are 5 essay questions, 10 multiple choice questions, and 20 true/false questions.

10 + 5 + 20 = 35

The equation of the system will be x + y + z = 35 and the number of each type of question should the instructor put on the test will be 5.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

An instructor wants to create a test that has true-false questions, multiple-choice questions, and essay questions.

Let x be the number of essay questions.

Let y be the number of multiple-choice questions.

Let z be the number of true-false questions.

He wants the test to have 35 questions, with twice as many multiple-choice questions as essay questions and with twice as many true-false questions as multiple-choice questions.

x = 2y

z = 4y

1.  Then the equation of the system will be

x + y + z = 35

Then we have

2.  Then the number of each type of question should the instructor put on the test will be

y + 2y + 4y = 35

               y = 5

More about the linear system link is given below.

https://brainly.com/question/20379472

Answer:

a = ± [tex]\sqrt{\frac{4}{25} }[/tex]

Step-by-step explanation:

[tex]a^{2} =\frac{4}{25}[/tex]

[tex]\sqrt{a^{2} } =\sqrt{\frac{4}{25} } \\|a|=\sqrt{\frac{4}{25} \\[/tex]

a = ± [tex]\sqrt{\frac{4}{25} }[/tex]

Answer:

37°

Step-by-step explanation:

1. Label the sides: the hypotenuse (the longest, slanted side) is 5 and the adjacent is 4. This means that we are using cosine (CAH)

2. Write out the equation: cosine or cos (?) = adjacent ÷ hypotenuse

3. Substitute in the values: cos (?) = 4 ÷ 5

4. Simplify: cos (?) = 0.8

5.  Type this into a calculator to find ?:  [tex]cos^{-1}(0.8)[/tex]

? = 36.86989... ≈ 37°

Hope this helps!

The measure of angle QPS in circle C is 112°

A circle is the locus of a point such that its distance from a fixed point known as the circle center is always constant. The sum of angles in a circle is 360 degrees.

From the circle:

PQ is parallel to SR, hence: ∠PQR + ∠QRS = 180°

∠PQR + 68 = 180

∠PQR = 112°

Also, PS =  QR (from the endpoint of  the diameter), hence:

∠QPS = ∠PQR = 112°

The measure of angle QPS in circle C is 112°

Find out more on circle at: https://brainly.com/question/24375372

Answer:

390 pennies that susan is holding

Answer:

3/4x-280=x/2

-3/4x-280=x/2 find the common factor for 3/4x-280/1 which is 4 3/4x-280/1 3xby

Answer:

it's f(n)= 2n^2+1

Step-by-step explanation:

the blocks are shaped 3,8,15 boxes

because 8-3= 5 and 15-8=7

so there's an addition of 2

Answer:

32,667

30,000+2,000+600+60+7

Answer:

4.86·10⁷

Step-by-step explanation:

Answer:

4.86 x10^7

Step-by-step explanation:

1. Must be between 1 and 10, the number cannot be 10.

2. Count decimal places to get to the dot.

3. That will be the power at the top of the 10.

4. If number is small, that power will be negative, but positive if number is big. E.g. 0.0001 (small) & 10000 (big)

4.86 x10^7

Hope this helps!

Answer:

its b

Step-by-step explanation:

Answer:

the $4000 WILL EARN 4 TIMES THE AMOUNT OF INTEREST.

Step-by-step explanation:

If both investments have same interest they will grow in the same proportion that the initial amount have.

Answer:

$10.88

Step-by-step explanation:

To find the selling price, we first have to find the markup price by multiplying 8 by 36 and then dividing the product by 100.

Now, we add the markup price the cost of the book.

Therefore, the selling price is $10.88.

Answer:

9 more mornings Jessica can drink orange juice

Step-by-step explanation:

1 4/5 = 1/5x

9/5  = 1/5 (divided below)

1/5       1/5

9/5  divided 1/5 = x

x = 9/5 x 5/1 = 45/5

45/5 divide by 5 = 9/1

long division and you get 9

hope this helps!

Answer:

The answer is 9

Step-by-step explanation:

48 boards

Step-by-step explanation:

length of a board = 5½ in = 11/2

Total length should be covered = 22 ft = 264 in (1ft = 12in)

total boards needed = 264 ÷11/2

= 264 × 2/11

= 24 ×2

= 48 boards

please please please please please please

Answer:

i think it might be c

Step-by-step explanation:

tell me if its wrong or not and brain list please

Answer:

13) C= 95°, a= 0.157, c= 9.86

14) C= 165°, a= 3.35, b= 1.68

15) A= 40°, a= 2, c= 3.06

16) C= 50°, a= 11.8, c= 9.19

Step-by-step explanation:

Please see the attached pictures for the full solution.

Note:

sine rule

[tex] \textcolor{steelblue}{\boxed{{\frac{ \sin A}{a} = \frac{ \sin B }{b} = \frac{ \sin C}{c} }}}[/tex]

∠ sum of ∆

The sum of the angles in a triangle is 180°.

Answer:

155 cm2

Step-by-step explanation:

Answer:

Answer:

28+16=44

Step-by-step explanation:

point of correction it has been solved correctly

when subtracting 44 - 16 it gives you 28

=> 44 - 16

=> 28

SO IN ORDER TO CHECK IF THE PROBLEM WAS SOLVE CORRECTLY

you will minus 28 from one of the numbers before the equal sign

the correct option is 28 + 16 equals to 44

=> 28+16=44