All categories

2 years ago

The pattern for the kite calls for 169 square inches of fabric. What is the

Mathematics

1 answer:

lys-0071 [83]2 years ago

3 0

Answer:

13 inches.

Step-by-step explanation:

Square root 169 and you will get the answer 13. Hope this helped.

You might be interested in

What is the binomial therom ?

Flauer [41]

Answer:

Binomial theorem, statement that for any positive integer n, the nth power of the sum of two numbers a and b may be expressed as the sum of n + 1 terms of the form.

3 0

3 years ago

Read 2 more answers

Find the distance between -2 1/2 and -5 3/4 on a number line

Elena-2011 [213]

Answer:

13/4

Step-by-step explanation:

Convert these numbers to a mixed fraction.

-5 3/4 => -23/4

-2 1/2 => -5/2

Make them have a common denominator

-5/2 => -10/4

-23/4 can stay the same.

To find the distance between the two numbers, subtract the lesser value from the greater value.

-23/4 is <u>less</u> than -10/4.

(-10 - (-23)) /4

= 13/4

Therefore the distance between -2 1/2 and -5 3/4 on a number line is 13/4.

5 0

3 years ago

CALC- limits<br> please show your method

gladu [14]

A. Factor the numerator as a difference of squares:

$\displaystyle\lim_{x\to9}\frac{x-9}{\sqrt x-3}=\lim_{x\to9}\frac{(\sqrt x-3)(\sqrt x+3)}{\sqrt x-3}=\lim_{x\to9}(\sqrt x+3)=6$

c. As $x\to\infty$ , the contribution of the terms of degree less than 2 becomes negligible, which means we can write

$\displaystyle\lim_{x\to\infty}\frac{4x^2-4x-8}{x^2-9}=\lim_{x\to\infty}\frac{4x^2}{x^2}=\lim_{x\to\infty}4=4$

e. Let's first rewrite the root terms with rational exponents:

$\displaystyle\lim_{x\to1}\frac{\sqrt[3]x-x}{\sqrt x-x}=\lim_{x\to1}\frac{x^{1/3}-x}{x^{1/2}-x}$

Next we rationalize the numerator and denominator. We do so by recalling

$(a-b)(a+b)=a^2-b^2$
$(a-b)(a^2+ab+b^2)=a^3-b^3$

In particular,

$(x^{1/3}-x)(x^{2/3}+x^{4/3}+x^2)=x-x^3$
$(x^{1/2}-x)(x^{1/2}+x)=x-x^2$

so we have

$\displaystyle\lim_{x\to1}\frac{x^{1/3}-x}{x^{1/2}-x}\cdot\frac{x^{2/3}+x^{4/3}+x^2}{x^{2/3}+x^{4/3}+x^2}\cdot\frac{x^{1/2}+x}{x^{1/2}+x}=\lim_{x\to1}\frac{x-x^3}{x-x^2}\cdot\frac{x^{1/2}+x}{x^{2/3}+x^{4/3}+x^2}$

For $x\neq0$ and $x\neq1$ , we can simplify the first term:

$\dfrac{x-x^3}{x-x^2}=\dfrac{x(1-x^2)}{x(1-x)}=\dfrac{x(1-x)(1+x)}{x(1-x)}=1+x$

So our limit becomes

$\displaystyle\lim_{x\to1}\frac{(1+x)(x^{1/2}+x)}{x^{2/3}+x^{4/3}+x^2}=\frac{(1+1)(1+1)}{1+1+1}=\frac43$

3 0

3 years ago

Consider a sample with a mean of 30 and a standard deviation of 5. Use chebyshev's theorem to determine the percentage of data w

RSB [31]

With the help of Chebyshev's theorem, the percentage of data between 5 to 45 is 89%.

<h3>What is Chebyshev's theorem?</h3>

The minimum percentage of observations that are within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem.

Numerous other probability distributions can be applied to this theorem.

Chebyshev's Inequality is another name for Chebyshev's Theorem.

One of many theorems established by Russian mathematician Pafnuty Chebyshev is known as Chebyshev's theorem.

According to Bertrand's postulate, there is a prime between n and 2n for every n.

So, the percentage of data within 15 to 45 is:

In this instance, we're looking for numbers between 15 and 45.

Since 30 -3*5 = 20 and 30 + 3*5 = 45, we are therefore within 3 deviations of the mean. So, since k = 3, we can find the percent as follows:

% = (1 - 1/3²) × 100 = 88.88% = 89%

Therefore, with the help of Chebyshev's theorem, the percentage of data between 5 to 45 is 89%.

Know more about Chebyshev's theorem here:

brainly.com/question/28482338

#SPJ4

5 0

11 months ago

Coach velez took the basketball team out for ice cream sundaes.He bought 8 sundaes at $5.35 each.He left a 15% tip.How much did

joja [24]

To find the value of Coach Velez's total bill, first we must figure out how much the total of all of the ice cream sundaes were.

To do this, we must multiply the number of sundaes (8) by the cost of each sundae ($5.35).

8 * 5.35 = $42.80

However, Coach Velez also left a tip of 15%. To find out how much Coach Velez tipped, we have to multiply his regular bill ($42.80) times the amount he is tipping (15% or 0.15)

$42.80 * 0.15 = $6.42

Finally, we just have to add the bill ($42.80) and the tip ($6.42) together to find Coach Velez's total amount.

$42.80 + $6.42 = $49.22

Coach Velez spent $49.22 in all.

7 0

3 years ago