All categories

2 years ago

Find x if a = 13 and C = 47. a in: 2 111.

Mathematics

1 answer:

Vanyuwa [196]2 years ago

7 0

Answer:

45 or two decimal points 45.167.

Step-by-step explanation:

So you're using the Pythagorean theorem which is a^2 + b^2 = c^2... so if you dont have b you can manipulate the equation. That equation is c^2 - a^2= b^2, so you square 47 which is 2209 and then square 13 which is 169... you do 2209-169 and that equals 2040, then you do the square root of that which is 45.166359 that can be

ALL CREDT TO

MariettaO [177] on https://answer.ya.guru/questions/5729132-find-x-if-a-13-and-c-47-need-help.html

You might be interested in

Which statement could describe the returns from a bond? A. You can buy at less than face value and get the full value on maturit

netineya [11]

Bond returns refers to the amount of loss or gain that is received from a bond investment. The calculation of the return on a given bond normally includes the purchase price plus any interest income earned from the bond purchase.

3 0

2 years ago

Read 2 more answers

The number of species n found on islands typically increases with the area of the island A. Suppose that this relationship is su

Crazy boy [7]

Answer:

$n(A) = n_1A^k$

Step-by-step explanation:

Taking into account that the growth rate of the number of species on the island is proportional to the density of species (number of species between area of the island), a model based on a differential equation is proposed:

$\frac{dn}{dA} = k\frac{n}{A}$

This differential equation can be solved by the method of separable variables like this:

$\frac{dn}{n} = k\frac{dA}{A}$ with what you get:

$\int\ {\frac{dn}{n}}\ = k\int\ {\frac{dA}{A}}$

$ln|n| = kln|A|+C$ . Taking exponentials on both sides of the equation:

$e^{ln|n|} = e^{ln|A|^{k}+C}$

$n(A) = e^{C}A^{k}$

how do you have to $n (1) = n_1$ , then

$n(A) = n_1A^k$

8 0

2 years ago

The linearized regression equation for an exponential data set is log ŷ = 0.14x + 0.4, where x is the number of years and y is t

djyliett [7]

Option C: $316$ is the predicted population when $x=15$

Explanation:

The regression equation for an exponential data is $\log y=0.14x+0.4$

Where x is the number of years and

y is the population

We need to determine the predicted population when $x=15$

The population x can be determined by substituting $x=15$ in the equation $\log y=0.14x+0.4$

Thus, we have,

$\log y=0.14(15)+0.4$

$\log y=2.1+0.4$

$\log y=2.5$

Using the logarithmic definition $\log _{a}(b)=c$ then $b=a^{c}$

$\log _{10}(y)=2.5 \Rightarrow y=10^{2.5}$

$y=316.22776 \ldots$

Rounding off to the nearest whole number, we get,

$y=316$

Thus, the predicted population when $x=15$ is 316

Hence, Option C is the correct answer.

7 0

2 years ago

Peter decided to buy a new car. He made a $2,160 down payment and then took a 48-month loan. The total amount for the car, plus

slava [35]

16560-2160=14400, 14400=48x, x=$300

3 0

2 years ago

Read 2 more answers

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Arada [10]

If $y=3x^2+30x+71$ , then
$y=3(x^2+10x)+71=3(x^2+2\cdot5x+25-25)+71$
$y=3((x+5)^2-25)+71=3(x+5)^2-75+71=3(x+5)^2-4$ . So, in the first gap you can write 5 and in the second you can write -4.
Since $(x+5)^2\ge 0$ , the minimum value of y is when $(x+5)^2=0$ . The solution of the last equation is x=-5 and then y=-4 -- these are numbers, which you can write in the third and fourth gaps.

5 0

2 years ago

Read 2 more answers