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3 years ago

Find the slope of the line.

Mathematics

1 answer:

Serhud [2]3 years ago

3 0

Step-by-step explanation:

y2-y1/

x2-x1

3-(-3)/

1--2

6/3=2

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Selena is flying a kite as shown below. Use the measurements to find how long the kite string is.

zalisa [80]

Answer:

20 feet

Step-by-step explanation:

In this case, you'd use pythagoras's theorem (a^2 + b^2 = c^2)

The hypotenuse is always = c, so you'd set up the equation like this:

16^2 + 12^2 = c^2, where you're solving for c (to find out the length of the kite string)

This equation simplifies to 256 + 144 = c^2

which further simplifies to 400 = c^2

to solve for c, we square root both sides so the c is isolated:

$\sqrt{400} = \sqrt{c}$

20 = c

so the length of the kite string is 20 feet

3 0

3 years ago

Read 2 more answers

Five times the sum of a number and four

valina [46]

here is the Answer:

5(x+4)

Hope it helps

3 0

3 years ago

A sheet of cardboard is 1.6 m by 0.8 m. The following shapes are cut from the cardboard: ● a circular piece with radius 12 cm ●

babymother [125]

Answer:

1.17m²

Step-by-step explanation:

Total area of cardboard=

$1.6 \times 0.8 = 1.28m {}^{2}$

Area of circular piece=

$\pi \: r {}^{2} = ( \frac{22}{7} )(0.12) {}^{2} = \frac{198}{4375} m {}^{2}$

Area of rectangular piece=

$0.2 \times 0.15 = 0.03m {}^{2}$

Area of 2 triangular pieces=

$2( \frac{1}{2} \times 0.3 \times 0.1) = 0.03m {}^{2}$

Remaining area of the cardboard= Total area of cardboard - circular piece - 2 triangular pieces

$1.28 - \frac{198}{4375} - 0.03 -0.03 = \frac{21083}{17500} =1.17m {}^{2}$

4 0

2 years ago

What value is closest to the length of major arc Xyz?

I am Lyosha [343]

Answer:

44.0

Step-by-step explanation:

cause i did it :)

4 0

3 years ago

Simplify:.........<br><br><img src="https://tex.z-dn.net/?f=2%20%5Cfrac%7B3%7D%7B5%7D%20%20%2B%201%20%5Cfrac%7B3%7D%7B10%7D%20%2

stealth61 [152]

Simplifying $2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15}$ is equal to $\frac{23}{30}$

<u>Given the following equation:</u>

$2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15}$

<h3>What is a fraction?</h3>

A fraction refers to a numerical quantity that isn't expressed as a whole number. Therefore, a fraction is simply expressed as a part of a whole number.

<h3>The parts of a fraction.</h3>

In Mathematics, a fraction consists of two (2) main parts and these are:

Numerator

Denominator

In this exercise, you're required to simplify the given fractions. Thus, we would convert the mixed fraction to a <u>single fraction</u> as follows:

$2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15}=\frac{13}{5} +\frac{13}{10} -\frac{47}{15}$

<u>Note:</u> Lowest common multiple (LCM) of 5, 10 and 15 = 30.

$\frac{13}{5} +\frac{13}{10} -\frac{47}{15}=\frac{78+39-94}{30} \\\\\frac{13}{5} +\frac{13}{10} -\frac{47}{15}=\frac{117-94}{30}\\\\\frac{13}{5} +\frac{13}{10} -\frac{47}{15}=\frac{23}{30}$

Read more on fractions here: brainly.com/question/368260

6 0

3 years ago

Read 2 more answers