find the length of side a​

it's good to write it out

length = 5 + width

area = 150

width = x

length = 5 + x

area = length * width

so

(5 + x) (x) = 150

5x + x^2 = 150

x^2 + 5x - 150 = 0

following you have to guess what 2 numbers when multiplied male 150 and when added make 5

and they are 15 and 10

(x +15) (x-10)

x = -15

x = 10

so the dimensions are

length = 15

and

width = 10

Answer:

The population of the rabbits in the lab grew, on average, at a rate of 1.4 rabbits per day from day 35 to 52.

Step-by-step explanation:

The average rate of change of a function between two points is essentially the slope between them.

We have the function:

[tex]r(x)=30(1.02)^x[/tex]

And we want to find the average rate of change from x = 35 to x = 52.

We can use the slope formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Our first point will be (35, r(35)) and our second point is (52, r(52)). Substitute:

[tex]\displaystyle m=\frac{r(52)-r(35)}{52-35}[/tex]

Note that our outputs y are rabbits and our inputs or x are days. Substitute:

[tex]\displaystyle m=\frac{30(1.02)^{52}-30(1.02)^{35} \text{ rabbits}}{52-35\text{ days}}[/tex]

Use a calculator:

[tex]\displaystyle m\approx\frac{1.4\text{ rabbits}}{\text{day}}[/tex]

So, the population of the rabbits in the lab grew on average at a rate of 1.4 rabbits per day from day 35 to 52.

Answer:

Step-by-step explanation:

Took the test :)

social programs

social programs

Answer:

social programs

hope it is helpful to you

step 1

so so s ososoosososososososososososososoosososososzosoosossoosososo

Step-by-step explanation:

The most important thing to remember is: SOH CAH TOA

sin(x) = opposite/hypotenuse

cos(x) = adjacent/hypotenuse

tan(x) = opposite/adjacent

So in #1:

We have the angle and hypotenuse and need to solve for the side opposite of the angle. This smells like a sine question.

sin(42)=x/25

this means that x=25sin(42). Plug that into the calculator and get: 16.73.

(Make sure you are in degrees mode)

For #2:

We are given the angle, the opposite side, and have to solve for the adjacent side. Looks like we need the tangent.

tan(75)=12/x

This means that x=12/tan(75). Calculator says: 3.22

For #3:

We have the angle, adjacent, and have to solve for the hypotenuse. This would be a cosine.

cos(36)=19/x

Solve for x: x=19/cos(36). Calculator says: 23.49

For #4:

We have the angle, adjacent side, and need the opposite side. This is another tangent problem.

tan(53)= x/7

Solving for x: x=7tan(53). Calculator says: 9.29

length = 3 + width

perimeter = 34

34 ÷ 2 = 17

width = x

3 +x + x = 17

3 + 2x = 17

2x = 14

x = 7

width = 7

Answer:

Tommy bought 6 boxes

Step-by-step explanation:

subtract 35 from 191, and you get 156. 156 divided by 26 = 6. so 6 boxes

Answer:

She forgot to multiply. She wasn’t supposed to add.

Step-by-step explanation:

Jasmine made an error where the 9(9) connect. She added and got 18, but instead, you’re supposed to multiply the 9 x 9, which is 81. Now, we add the 3, and the sum is 84m.

Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

[tex]p ^{2} = 0.81 \\ p = \sqrt{0.81 } \\ p = 0.9[/tex]

•°• √81 = 9 or 9² = 81

Answer:

P = 0.9

Step-by-step explanation:

Do square root Of .81.

A variable can never Have a square root OR a negative symbol

as Final answer

I hope this helps!

Answer:

Calculate the unknown defining height, slant height, surface area, side length and ... Online calculators and formulas for a pyramid and other geometry problems. ... h = height s = slant height a = side length. P = perimeter of base e = lateral .

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

:)

Answer:

the answer is 10 :) I hope you do well in the rest of your test!

Answer:

72degrees

Step-by-step explanation:

triangle=180

C:90 B:18

180-90-18=72

Answer:

Prolly faster than the flash

Step-by-step explanation:

:)

Answer:

62.832

Step-by-step explanation:

Answer:

Maria will have enough money to buy the bike in 13 weeks.

Step-by-step explanation:

w = weeks

42 + 7w = 133

take away 42 frim each side

7w = 91

divide each side by 7

w = 13

Answer:

$5047

Step-by-step explanation:

im smart

deltamath gang

Answer:

25

Step-by-step explanation:

9+13+3 = 25

__________

Answer:

48 ounces

Step-by-step explanation:

Answer:

64 ounces.

Step-by-step explanation:

combined weigh = weight of cat 1 + weight of cat 2

combined weigh = 17 + 12 = 29 pounds

The difference in weight of the Dog's weigh by the combined cat's weigh is the subtraction between the two, so we have:

Difference in weigh = 33 - 29 = 4 pounds

We now have to convert it to ounces, since 1 pound contains 16 ounces we can multiply the value of the weigh in pounds by 16 to obtain the final value:

Difference in weigh = (4 pounds)* 16 = 64 ounces

Answer:

-3x^2+16x+64

Step-by-step explanation:

First, you need to find the area of both areas (the total area and the area of the unshaded part). Let's find the total area.

(x+8)(x+8)=x^2+16x+64

The total area is x^2+16x+64

(2x)(2x)=4x^2

The area of the unshaded part is 4x^2

Now we have to subtract to find the area of the shaded part.

x^2+16x+64-4x^2

-3x^2+16x+64

That is the answer

Hope this helped!! :D

Answer:

I believe the correct answer here is C!

Step-by-step explanation:

The option (A) is correct.

"The logarithmic function y = log b x is the inverse function of the exponential function y = b x. We can now proceed to graphing logarithmic functions by looking at the relationship between exponential and logarithmic functions".

For the given situation,

[tex]f(x)=logx[/tex]

Plot the graph of  [tex]f(x)=logx[/tex] .

From the graph shown below, the region of the graph lies in the domain of { x|0 < x < ∞ } and approaches as 0 as x decreases.

Hence we can conclude that the option (A) is correct.

https://brainly.com/question/14411373

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Answer:

If the diameter or radius of one circle is the same as another circle they are congruent.

Answer:

Step-by-step explanation:

As,

The Earth has two basic sources of energy -

Answer:

Theoretical probability is what is expected and experimental probability is the answer.

Step-by-step explanation:

Theoretical probability is what you expected the answer to be. In reality the experimental probability is the actual answer.

Penny's Pickles divide their company into 10,000 shares of stock. If you buy 200 of these shares then you will have  [tex]2\[/tex]  percent of Penny's Pickles.

Percentage a is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, [tex]\%[/tex].

Percentage [tex]=\frac{ You\ owned}{Total \ share} * 100[/tex]

We have,

Total shares of Penny's Pickles [tex]=10,000[/tex]

You owned shares   [tex]= 200[/tex]

So,

Using above formula,

Percentage [tex]=\frac{ You\ owned}{Total \ share} * 100[/tex]

Percentage of shares I owned [tex]=\frac{200}{10000} * 100[/tex]

                                                    [tex]= 2 \%[/tex]

So, the shares you owned are [tex]2\ \%[/tex] of total share of the Penny's Pickles.

Hence, we can say that Penny's Pickles divide their company into 10,000 shares of stock. If you buy 200 of these shares then you will have  [tex]2\[/tex]  percent of Penny's Pickles.

To know more about percentage click here

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Answer:

option 1

Step-by-step explanation:

the pattern will continue like this:

50 - 25

answer 1 is the correct answer!

Answer:The first question is the true statement <3

Step-by-step explanation

<3

Given:

The quadratic equation is:

[tex]x^2-32x+54=0[/tex]

It can be written as [tex]-p=202[/tex].

To find:

The value of p in the rewritten equation.

Solution:

We have,

[tex]x^2-32x+54=0[/tex]

Isolate the constant term.

We need to make 202 on the right side. So, add 256 on both sides.

[tex]x^2-32x+256=-54+256[/tex]

[tex]x^2-32x+256=202[/tex]

[tex]-(-x^2+32x-256)=202[/tex]

Let [tex]-x^2+32x-256=p[/tex], then

[tex]-p=202[/tex]

Therefore, the value of p is [tex]-x^2+32x-256[/tex].

The given equation can be written as:

[tex]54=-x^2+32x[/tex]

Adding 148 on both sides, we get

[tex]54+148=-x^2+32x+148[/tex]

[tex]202=-(x^2-32x-148)[/tex]

Let [tex]x^2-32x-148=p[/tex], then

[tex]202=-p[/tex]

Therefore, the another possible value of p is [tex]x^2-32x-148[/tex].