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3 years ago

What would the answer be

Mathematics

1 answer:

Reil [10]3 years ago

8 0

Answer:

28.28

Step-by-step explanation:

Using Pythagoras' identity on the right triangle

d² = 20² + 20² ← Pythagoras' identity

= 400 + 400 = 800 ( take the square root of both sides )

d = $\sqrt{800}$ ≈ 28.28 ( to 2 dec. places )

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Please show me how you got the answer. Will give brainliest.

umka21 [38]

Answer: 410 possible points

To solve for the possible points in the course, use a proportion and cross multiply.

<h2>What is a proportion?</h2>

A proportion is two fractions that are equal to each other. For the fractions to be equal, they are proportionate. In our math problem, percentage is proportionate the the number of points.

The fractions represent information you have, and one variable will represent what you are solving for.

<h2 /><h3>Given</h3>

Your points = 361

Points to get an 'A' = your points + 8

'A' = 90% of possible points

<h3>Find the points needed for an 'A' at 90%</h3>

Points to get an 'A' = your points + 8

= 361 + 8

= 369

<h3>State variables</h3>

let <em>x</em> be the amount of possible points

<h3 /><h3>Write a proportion</h3>

We know the number of points for 90% is 369 points. Remember that 90% is the same as 90/100.

Keep the information with the same units inside the same fraction. Here, percentage is represented by the first fraction. Points is represented by the second fraction.

$\displaystyle{\frac{90}{100}=\frac{369}{x}}$

<h3>Solve</h3>

We can solve using cross multiplication. This is when we multiply each numerator by the denominator from the other fraction.

$90x = 369*100$ Simplify by multiplying.

$90x = 36,900$ Isolate the variable <em>x</em>.

$\displaystyle{\frac{90x}{90} = \frac{36,900}{90}}$ Divide both sides by 90 to cancel out 90 on the left.

$\displaystyle{x = \frac{36,900}{90}}$ Divide.

$x = 410$ Solved for <em>x</em>, representing the possible points.

∴ The possible points in the art course is 410.

Learn more about finding a missing number given percentage here: brainly.com/question/26535441

4 0

1 year ago

How many complex zeros does the polynomial function have?<br> f(x)=−3x^6−2x^4+5x+6

REY [17]

one way would be to factor

I can't factor it so we will have to use Descartes' Rule of Signs which is helpful for finding how many real roots you have

it goes like this:

for a polynomial with real coefients, consider $f(x)=-3x^6-2x^4+5x+6$ .

after arranging the terms in decending order in terms of degree, count how many times the signs of the coeffients change direction and minus 2 from that number until you get to 1 or 0. that will be the number of even roots the function can have

We have (-, -, +, +). the signs changed 1 times, so it has 1 real positive root

to get the negative roots, we evaluate f(-x) and see how many times the root changes

$f(-x)=-3x^6-2x^4-5x+6$

signs are (-, -, -, +). there was 1 change in sign

so the function has 1 real negative root

a total of 2 real roots

a function of degree $n$ can have at most, $n$ roots

our function is degree 6 so it has 6 roots

if 2 are real, then the others must be complex

6-2=4 so there are 4 complex roots

you can also show that there are only 2 real roots by using a graphing utility to see that there are only 2 real roots

7 0

3 years ago

-2.074 + 1.8 I need help it’s math and it’s multiplying decimals

jok3333 [9.3K]

Answer:

-0.274

Step-by-step explanation:

You could just use the calculator, BUT if you want to use pencil paper you have to align them decimal over decimal:

-2.074

- 1.8

-------------

3 0

3 years ago

The ratio of boys to girls in a class is 3:4. There are 35 students in the class. How many students are boys?

cricket20 [7]

Answer:

15 boys and 20 girls

Step-by-step explanation:

1. Since we cant simplify 3:4 we will leave it just like that.

2. 3x+4x=35

3. We add them both to give us 7x=35

4. We divide by 7 to get x by itself which results in 35/7=5.

x=5

5. Now we found x we can create 2 seperate soulutions:

3(5)=

and 4(5)=

Therefore there are 15 boys and 20 girls in the class. This makes sense because 15/20 reduced is 3 over 4.

6 0

3 years ago

What is the area of a rectangle with vertices at (6,-3), (3,-6), (-1,-2), and (2,1). Enter your answer In the box

vladimir2022 [97]

Answer:

24 units

Step-by-step explanation:

Start by plotting on the rectangular coordinate system the four points given: (6,-3), (3,-6), (-1,-2) , and (2, 1)

Please see attached image for guidance with the answer.

These four points are represented with green dots in the image.

Notice that such rectangle can be viewed as inscribed in a larger square that is 7 units by 7 units, and on which these four points (the vertices of the rectangle) touch the square's perimeter.

So to make the calculation simple, we can find the area of the larger square (very simple to calculate since it is 7 times 7 = 49) and subtract from it the area of the four triangles that are depicted in yellow and in light green. Such result will give us the area of the rectangle (white background).

Out of the four triangles whose areas we need to extract, we notice that they are all right angle triangles with simple formulas to calculate their areas: base times height divided by 2.

The triangles in green have base 3 and height 3 so their areas are: (3 * 3) /2 = 4.5. since they are two of these the total area of the green triangles is 4.5*2 = 9

We do something similar with the yellow triangles, noticing that their base and heights are 4 and 4 respectively which gives an area of (4*4)/2 = 8

Again, since there are two of them, we multiply this by 2: 8 * 2 = 16

Now to calculate the area of the white rectangle we do:

Area of big square minus area of green triangles minus area of yellow triangles: 49 - 9 - 16 = 24

3 0

3 years ago