Find the value of x. Round to the nearest degree. ​

Answer: 8.26 m

Step-by-step explanation:

[tex]$$Let s be the length of the wire used for the square. \\Let $t$ be the length of the wire used for the triangle. \\Let $A_{S}$ be the area of the square. \\Let ${A}_{T}}$ be the area of the triangle. \\One side of the square is $\frac{s}{4}$ \\Therefore,we know that,$$A_{S}=\left(\frac{s}{4}\right)^{2}=\frac{s^{2}}{16}$$[/tex]

[tex]$$The formula for the area of an equilateral triangle is, $A=\frac{\sqrt{3}}{4} a^{2}$ where $a$ is the length of one side,And one side of our triangle is $\frac{t}{3}$So,We know that,$$A_{T}=\frac{\sqrt{3}}{4}\left(\frac{t}{3}\right)^{2}$$We have to find the value of "s" such that,$\mathrm{s}+\mathrm{t}=19$ hence, $\mathrm{t}=19-\mathrm{s}$And$$A_{S}+A_{T}=A_{S+T}$$[/tex]

[tex]$$Therefore,$$\begin{aligned}&A_{T}=\frac{\sqrt{3}}{4}\left(\frac{(19-s)}{3}\right)^{2}=\frac{\sqrt{3}(19-s)^{2}}{36} \\&A_{T+S}=\frac{s^{2}}{16}+\frac{\sqrt{3}(19-s)^{2}}{36}\end{aligned}[/tex]

[tex]$$Differentiating the above equation with respect to s we get,$$A^{\prime}{ }_{T+S}=\frac{s}{8}-\frac{\sqrt{3}(19-s)}{18}$$Now we solve $A_{S+T}^{\prime}=0$$$\begin{aligned}&\Rightarrow \frac{s}{8}-\frac{\sqrt{3}(19-s)}{18}=0 \\&\Rightarrow \frac{s}{8}=\frac{\sqrt{3}(19-s)}{18}\end{aligned}$$Cross multiply,$$\begin{aligned}&18 s=8 \sqrt{3}(19-s) \\&18 s=152 \sqrt{3}-8 \sqrt{3} s \\&(18+8 \sqrt{3}) s=152 \sqrt{3} \\&s=\frac{152 \sqrt{3}}{(18+8 \sqrt{3})} \approx 8.26\end{aligned}$$[/tex]

[tex]$$The domain of $s$ is $[0,19]$.So the endpoints are 0 and 19$$\begin{aligned}&A_{T+S}(0)=\frac{0^{2}}{16}+\frac{\sqrt{3}(19-0)^{2}}{36} \approx 17.36 \\&A_{T+S}(8.26)=\frac{8.26^{2}}{16}+\frac{\sqrt{3}(19-8.26)^{2}}{36} \approx 9.81 \\&A_{T+S}(19)=\frac{19^{2}}{16}+\frac{\sqrt{3}(19-19)^{2}}{36}=22.56\end{aligned}$$[/tex]

[tex]$$Therefore, for the minimum area, $8.26 \mathrm{~m}$ should be used for the square[/tex]

Answer:

10

Step-by-step explanation:

Answer:

The probability that a worker makes between $400 and $450 is .3413 using the calculator and .34 using the empirical rule.

Step-by-step explanation:

There are two ways to approach this problem.

The first way is to find the z-score corresponding to $400 and $450 weekly wage and find the p-value in between these values.

If you use the normalcdf function on your calculator and put 0 and 1 as the lower and upper bounds, respectively, you will get an area of .3413.

Another way of looking at this problem is to recognize that the weekly wages given are the mean and one standard deviation above the mean.

We can use the Empirical Rule, 68-95-99.7, in order to see that going one standard deviation above the mean would be an area of 68/2 = .34.

I've attached an image that shows you what the normal curve looks like.

Answer:

Step-by-step explanation:

Step-by-step explanation:

i) 0.0031 (or) 3.1×10^(-3)

ii) 0.0013 (or) 1.3×10^(-3)

I hope It helped you

[tex]0.685[/tex]

the expanded notation form.

[tex]0[/tex]

[tex] + 0.6[/tex]

[tex] + 0.08[/tex]

[tex] + 0.005[/tex]

it can be written as a sentence also,

0 + 0.6 + 0.08 + 0.005

Answer:

1. answer is B because it is the only graph that represents the time stuck in the tree at a certain time then the continuous fall of the ball after falling out of the tree. 2. X-axis would be time or seconds 3. Y-axis would be height in air 4. 14 seconds after it was rhrown

Answer:

its B

Step-by-step explanation:

Have you smiled today? its very important:)

Answer:

87.92 mm²

Step-by-step explanation:

Given:

It should be noted:

When the measures are substituted, we get the following expression:

Multiply the constants and substitute π as 3.14.

Finally, simplify the expression to determine the surface area.

Answer:

88.0 mm² (nearest tenth)

Step-by-step explanation:

Surface area of a cylinder = [tex]2\pi r^2+2\pi rh[/tex]

where:

Given:

Substitute given values into the formula:

[tex]\begin{aligned}\sf \implies SA & =2\pi (2)^2+2\pi (2)(5)\\ & = 8 \pi+20 \pi\\ & = 28 \pi\\ & = 88.0\:\sf mm^2\:(nearest\:tenth)\end{aligned}[/tex]

Answer:

B. Freedom in Industry

Step-by-step explanation:

The Kyoto Protocol is a commitment between countries to limit the amount of greenhouse gases produced. Nuclear, Sun, Wind, and Tidal energy are all renewable energy sources.

Answer:how can you easily improve your family relationships by understanding personality types

Step-by-step explanation:

Answer:

It's the first option (A)

Step-by-step explanation:

Since it's heading towards negative Ys so in ax²+bx+c, a is negative and only option that a is negative in it, is option A.

Additionally, the parabola is moved 1 unit towards positive Xs, so —(x—1)²

and it's one unit up so —(x—1)²+1

Answer:

k>4/3

Step-by-step explanation:

The given quadratic equation is:

3x^2 - 4x + k = 0

To find, the value of k = ?

you use

Discriminant, D =  - 4ac

=  - 4(3)(k)

= 16 - 12k

The condition of no solutions.

D < 0

16 - 12k < 0

16<12k

4/3<k

⇒ k>4/3

Depends upon what's the quadrilateral is

Solving according to square

Perimeter=4a

So

Area:-

22²=484units²

The above diagram shows a rectangular prism

Volume: Length x Width x Height

Surface area: 2(Length x Width + Height x Width + Height x Length)

Solve for Volume:

5 x 10 x 4

200 m³

Solve for surface area:

2(10x 5 + 4 x 5 + 4 x 10)

2(50 + 20 + 40)

2(110)

220 m²

Answer:

see below

Step-by-step explanation:

zeroes =  -6 and  -8

y = (x+8)(x+6)   expand to

y = x^2 + 14x + 48

Answer:

sold 120 chocolate bars

sold 140 peanut butter bars

Step-by-step explanation:

x = peanut butter bars

y = chocolate bars

x + y = 260, total lbs

0.25x + 0.30y = 71, money

solve double variable equation

multiply -4 on both sides for 2nd equation

-x + -1.2y = -284

add both equations together

-0.2y = -24

y = 120

x = 260 - 120

x = 140

sold 120 chocolate bars

sold 140 peanut butter bars

Answer:

x = 4 or - 1/5

Step-by-step explanation:

If you need help or want to see work you can go to Tiger algebra.

Hope it helped!

Answer:

we have to use the formula of simple interest, which is

I = P r t

Where I is the interest earned, P is the amount invested, r is the rate of interest and t is the time duration .

In the given question, I = $4840 , r =11% or 0.11, t=11, P is unknown .

Substituting the values in the formula, we will get

4840=0.11*11*P4840=0.11∗11∗P

4840=1.21 P4840=1.21P

P=4000

So she invested $4000

Answer:

Option: D P = 9000

Step-by-step explanation:

I = PRT

5760 = P * 0.08 * 8

5760 = 0.64P

9,000 = P

Step-by-step explanation:

The natural log has a base of 'e'. That is the definition of the natural log. Therefore, using logarithm rules, 'e' to the power of the right side equals 'y':

[tex] {e}^{ {2}^{x} + 1 } = y[/tex]

Answer:

Step-by-step explanation:

In this problem, x is the exponent as the term '2' is multiplied by itself x times. If you look a bit further, you will see there is also an invisible power on 1, but 1 raised to any exponent will be 1 itself so it isn't considered.

Answer:

I had two other people with the same question, so I'm gonna assume that the radius is 2 and the height is 8. Here is the answer: 39.5 in^3

Step-by-step explanation:

The formula for a cone is (pi)(r^2)(h/3)

Since we have to use 3.14 for pi, we plug 3.14 in for pi:

(3.14)(r^2)(h/3)

The radius is 2 and the height is 8, so we plug in those numbers:

(3.14)(2^2)(8/3)

Simplify:

(3.14)(4)(2.666...)

Multiply:

(12.56)(2.666...) -> 39.49333...

Finally, we round 39.49333... to the tenths place:

39.5

Hope this helps :)

When a line has an undefined slope, it means that it is a vertical line. Vertical lines are written in the following form:

For any vertical line, the x-coordinate is constant. This means that for any point that falls on the line, the x-coordinate will always be the same.

If we're given that the line passes through the point (4,-2), this means that the x-coordinate for every piont this line passes through is 4.

In other words, the x-intercept of this line is 4.

[tex]x=4[/tex]

[tex]x=4[/tex]

Answer:

[tex]\huge\boxed{\sf 187.5\ gal.}[/tex]

Step-by-step explanation:

Given that:

For,

12 ft. height, gas tank can hold 450 gal.

Using unitary method:

12 ft = 450 gal.

Divide 12 to both sides

1 ft = 450/12 gal.

1 ft = 37.5 gal.

Multiply 5 to both sides

5 ft. = 37.5 × 5 gal.

5 ft. = 187.5 gal.

So, the height of 5 ft. holds 187.5 gal.

[tex]\rule[225]{225}{2}[/tex]

Answer:

187.5 gal

Step-by-step explanation:

A=lw

450=12(w)

450/12=37.5ft

A=lw

A=37.5(5)

A=187.5 gal

Hope that helps

Answer:

111

Step-by-step explanation:

divide by 2 to find the radius

Answer:

432 square feet

Step-by-step explanation:

Hello there.

Do you see those half shaded squares on the top? Those count as half a square.

Do 6 times 3 to get 24. Multiply 24 with 16 to get 384.

There are 6 half shaded squares which equals to 3 full squares. Multiply 3 and 16 to get 48. Lastly, add 384 with 48 to get your answer.

Hope this helped, Angelo

Answer:

B

Step-by-step explanation

U need to keep up with your training and work hard

Answer:

y = 6

Step-by-step explanation:

y = -4(1) + 10 = -4 + 10 = 6

Answer:

1. Wenonas piece: moved 20 cm

2. Rogers piece: 15cm

3. Luisas piece: <7.5cm

4. Chins piece: >12cm

this is the order, HOPE THIS HELPS!

Answer:

B. Fakse

explanation:

In

inflation

, the CPI will rise. In deflation, the CPI will fall

Answer:

Step-by-step explanation:

None of the answers look right to me unless you are given something I'm not aware of.

A(x) can be factored. When it is, the following is what is obtained.

A(x) = (x- 3)(x - 3)

Since the area of a square is

Area = s^2

where s is the length of the side, you can find the square root by using the rules of roots.

s^2 = (x - 3)(x - 3)

√s²= √(x - 3)²

√s² = s

√(x - 3)² = x - 3

Therefore the answer should be s = x-3

The only thing I think you can do is ask whoever is presenting the course how any of those answers are obtained.

Answer:

x-3

Step-by-step explanation:

thats what the guy above me's answer is to make it easier