what is the value of x?

Answer:

22.360679775

Step-by-step explanation:

i used a calulator on the web

Answer:

±10 sqrt(5)

Step-by-step explanation:

sqrt(500)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(100*5)

sqrt(100) sqrt(5)

±10 * sqrt(5)

Answer:

About 198.6 feet

Step-by-step explanation:

This situation essentially forms a sideways triangle with height 80 feet. It can be divided into two right triangles, which you can each find the base length for, and then add them together to find the total height of the building.

Let's start with the lower base (with the angle measure of 56 degrees), which we'll call b. The tangent of an angle in a right triangle is the length of the opposite side divided by the length of the adjacent side, meaning that:

[tex]\tan 56=\dfrac{b}{80} \\\\b=80 \cdot \tan 56\approx 118.6[/tex]

Now, let's do it for the upper part, which we'll call y:

[tex]\tan 45=\dfrac{y}{80} \\\\y=\tan 45 \cdot 80=1 \cdot 80 =80[/tex]

Adding these together, you get a height of approximately 198.6 feet. Hope this helps!

Answer:

answer is 198.6

Step-by-step explanation:

Step-by-step explanation:

[tex]r = \sqrt{ \frac{ax - p}{q + bx} } \\ {r}^{2} = \frac{ax - p}{q + bx} [/tex]

r² (q + bx) = ax - p

qr² + bxr² = ax - p

qr² + p = ax - bxr²

qr² + p = x (a - br²)

[tex]x = \frac{q {r}^{2} + p}{a - b {r}^{2} } [/tex]

Answer:

[tex]\displaystyle x=\frac{-P-\math{R}^2Q}{\math{R}^2b-a}[/tex]

Step-by-step explanation:

[tex]R=\sqrt{\frac{ax-P}{Q+bx}}[/tex]

[tex]\mathrm{Square\:both\:sides}[/tex]

[tex]R^2=\left(\sqrt{\frac{ax-P}{Q+bx}}\right)^2[/tex]

[tex]R^2=\frac{ax-P}{Q+bx}[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}Q+bx[/tex]

[tex]\math{R}^2\left(Q+bx\right)=\frac{ax-P}{Q+bx}\left(Q+bx\right)[/tex]

[tex]\math{R}^2\left(Q+bx\right)=ax-P[/tex]

[tex]\math{R}^2Q+\math{R}^2bx=ax-P[/tex]

[tex]\mathrm{Subtract\:}\math{R}^2Q\mathrm{\:from\:both\:sides}[/tex]

[tex]\math{R}^2Q+\math{R}^2bx-\math{R}^2Q=ax-P-\math{R}^2Q[/tex]

[tex]\math{R}^2bx=ax-P-\math{R}^2Q[/tex]

[tex]\mathrm{Subtract\:}ax\mathrm{\:from\:both\:sides}[/tex]

[tex]\math{R}^2bx-ax=ax-P-\math{R}^2Q-ax[/tex]

[tex]\math{R}^2bx-ax=-P-\math{R}^2Q[/tex]

[tex]\mathrm{Factor}\:\math{R}^2bx-ax[/tex]

[tex]x\left(\math{R}^2b-a\right)=-P-\math{R}^2Q[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}\math{R}^2b-a[/tex]

[tex]\frac{x\left(\math{R}^2b-a\right)}{\math{R}^2b-a}=-\frac{P}{\math{R}^2b-a}-\frac{\math{R}^2Q}{\math{R}^2b-a}[/tex]

[tex]x=\frac{-P-\math{R}^2Q}{\math{R}^2b-a}[/tex]

Answer:

The logo has an area of 5.7 cm².

Step-by-step explanation:

The area of the logo must be equal to the sum of the square's area and the triangle's one, therefore we will calculate each individually. The triangle is attached to the square, this means that its base has the same length as the side of the square.

[tex]square = side^2 = 2^2 = 4 \text{ cm}^2[/tex]

[tex]triangle = \frac{b*h}{2} = \frac{2*1.7}{2} = 1.7 \text{ cm}^2[/tex]

The total area of the figura is:

[tex]total = square + triangle = 4 + 1.7 = 5.7 \text{ cm}^2[/tex]

The logo has an area of 5.7 cm².

Answer:

First find how much more the recipe increased by

32/8=4

She needs to have 4 times more the recipe

Since she multiplied the 8 drops of yellow by 4 we need to balance the food coloring and multiply the red food coloring by 4

12 x 4 = 48 drops of red food coloring

48 drops

Hope this helps

Step-by-step explanation:

Answer:

2cm by 3cm by 3cm.

Step-by-step explanation:

So, we are given the following data or parameters or information which is going to help us in solving this particular Question or problem;

=> We have a built rectangular prism.

=> The rectangular prism was built by using 18 cubes.

=> Each of the 18 cubes measure 1 cm on each side.

So, the dimensions of Carley's rectangular prism is given below as the multiples of 18 since each of the 18 cubes measure 1 cm on each side.

That's 2 cm × 3 cm × 3cm. Therefore, the length will be 2cm, breadth will be 3cm and height will be 3cm.

Answer:

Solve the rational equation by combining expressions and isolating the variable  

Answer:

Step-by-step explanation:

I assume that the equation is

[tex]e^x+\frac{e^{-x}}{e^x} -e^{-x}=t \\[/tex]

[tex]e^x+\frac{1}{e^{2x}}-\frac{1}{e^x} = t[/tex]

[tex]e^{3x}+1-e^x=e^{2x}t[/tex]

[tex]e^{3x}-te^{2x}-e^x=-1[/tex]

Let u = e^x

[tex]u^3-tu^2-u=-1[/tex]

[tex]u(u^2-tu-1) = -1[/tex]

if u=1, then [tex]u^2-tu-1 =-1 \longleftrightarrow u^2-tu=0[/tex]

then u = 0 (reject) or u = t

So far, we have u = 1 and u = t

if u =1, e^x =1 , then x = 0

if u = t, then e^x = t or x = lnt

Answer:

p=4 and q could be any real number (except 1 because then CD would not be a line since the points would lie on top of each other).

Step-by-step explanation:

For CD to be horizontal, both of the y coordinates for CD need to be equal. Since we are already given one of the y coordinates (the y coordinate for D is 4), then we know that the y coordinate for C (p) is 4 as well). Since it doesn't really matter what q is (any value of q except 1 would create a horizontal line with point C as long as p=4), it is any real number except 1.

Answer: D.6

Step-by-step explanation:

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. In plain English, the definition means: The range is the resulting y-values we get after substituting all the possible x-values.

The on;y possible value for y is Y=6, so the answer is D

Answer:

6

Step-by-step explanation:

The range is the output values, or in this case the y values

The only y value is 6

The range is 6

Answer:

( 3 +4)² = 7² = 49

Hope this helps.

Answer:

49

Step-by-step explanation:

Follow the PEMDAS rule.

P- Parenthesis

E- Exponents

M- Multiplication

D- Division

A-Addition

S-Subtraction

Following this rule, you would add 3+4, which gets you 7.

Then, you would multiply 7 by 7, as that is what the exponent, two suggests

7x7 = 49.

thus,

(3 + 4)² = 49

Answer:

80 hours

Step-by-step explanation:

We can use ratios to solve

1000 gal        20000

-------------- = ------------------

4 hours          x hours

Using cross products

1000x = 4*20000

1000x = 80000

Divide each side by 1000

x = 80000/1000

x = 80

80 hours

Answer:

D

Step-by-step explanation:

Let's say we're translating the origin, (0, 0) left 6 units and up 4 units. We would get ( -6, 4), which is (x - 6, y + 4), which is D

Answer:

Option C is the correct answer

[tex] {x}^{2} + 2x - 4[/tex]

Step-by-step explanation:

[tex]f(x) = {x}^{2} - 1 \\ g(x) = 2x - 3 \\ (f + g)(x) = f(x) + g(x) \\ (f + g)(x) = {x}^{2} - 1 + 2x - 3 \\ \purple{ \boxed{ \bold{ (f + g)(x) = {x}^{2} + 2x - 4}}}[/tex]

Answer:

Step-by-step explanation:

Answer: The negative solution is -2

Step-by-step explanation:

[tex]5x+14=x^2\\x^2-5x-14=0\\\\(x-7)(x+2)=0\\x_1=7\\x_2=-2[/tex]

no. of squares=90

no. of toothpicks=(89*3)+4

=271

rule of patern = 4+3+3...

no. of toothpicks=1000

no. of squares= (996÷3)+1

= 333

The fraction (13/10) can be used as the multiplier to find the length of the new side.

Suppose the length of the side of a square is x.

The new length of the side of the square after an increment of 30%

= x+ (30% of x).

The percentage is the value per hundred.

So, 30% of x = 30*x/100 =0.3x

So, new length of the side = x+0.3x =1.3x

We can represent 1.3x as (13/10)x

This means we have multiplied the previous length by the fraction 13/10 in order to get an increment of 30%.

Thus, The fraction (13/10) can be used as the multiplier to find the length of the new side.

To get more about the percentage visit:

https://brainly.com/question/24304697

Answer:

1/n^16

Step-by-step explanation:

Answer:

Step-by-step explanation:

The surface area of the sides of the cylinder is A = 2πrh, where r is the radius and h is the height.  

Here this comes out to A = 2π(4)(7) = 56 π units^2

If you also want the combined area of the two ends (top and bottom of the cylinder), here's the calculation:

A = 2πr² = 2π(4 units)² = 32π units²

Answer:

its 88 pi

Step-by-step explanation:

i did it on khan

Answer:

It's rational number

Step-by-step explanation:

Natural numbers  are the positive integers also known as whole numbers.

Answer:

2

Step-by-step explanation:

A factor is a number that can evenly divide into another number.

Let’s list all the factors of both numbers.

26: 1, 2, 13, 26

14: 1,2, 7, 14

Now find the GCF, or greatest common factor. The biggest number that is a factor of both 26 and 14 is 2.

Therefore, the GCF of 26 and 14 is 2.

The answer will be B. 72

Answer:The answer to this problem is 72 fluid ounces

Step-by-step explanation:

Answer: C, a set of coords is only a function if it passes the vertical line test

Step-by-step explanation:

This is essentially the vertical line test. No two sets can have the same x value because it will fail the vertical line test. In answer a, -4 correlates to two y values. It fails the line test

B easily fails the test just by visually looking at it. It fails the line test

C has different x values so this looks promising. It passes the line test

D has the number 5 correlating with multiple y values. It fails the line test

Answer:

6 pound - first one

14 - second one

$172.20 - third one

Answer:

94.88

Step-by-step explanation:

this is the right answer

Answer:

Complement 60 Supplement 150

Step-by-step explanation:

the complementary angle is an angle that is added to your original angle of 30° to get 90°

Complementary Angle = 90 - 30°

Complementary Angle = 60°

The supplementary angle is an angle that is added to your original angle of 30° to get 180°

Supplementary Angle = 180 - 30°

Supplementary Angle = 150°

Answer:

can you please give a correct question next time or please make the question clear for the answerer.

thank you

Answer:

4.104

Step-by-step explanation:

Volume of any prism = Area of cross section x height.

so, volume = 0.6 x 1.9 x 3.6 = 4.104

Answer:

120

Step-by-step explanation:

There are 5 choices for the first duckling, 4 for the second, 3 for the third, 2 for the fourth and 1 for the fifth meaning that the answer is 5 * 4 * 3 * 2 * 1 = 5! = 120.

Answer:

360-540 calories

Answer:

10

Step-by-step explanation:

Since each ornament takes 1/4 of a piece of Bristol board we divide 2 1/2 by 1/4

2 1/2 = 5/2

(5/2)/(1/4) = 20/2 = 10