What is the length of the hypotenuse of the triangle when x=14

Answer:

2 + √3.

Step-by-step explanation:

tan 75 = tan (45 + 30)

           =     (tan 45 + tan 30)  /  (1 - tan 45 tan 30)

           =   ( 1 + 1/√3) / (1 - 1*1/√3)

           =   (1 + √3) / √3  *   √3 / (√3 - 1)

           = √3 + 1/ √3 - 1

  Multiply top and bottom by √3 + 1;

                =  (√3 + 1)(√3 + 1) /  (√3 -  1)(√3 + 1)

                = 3 + 2√3 + 1 / (3 - 1)

                =  (4 + 2√3) / 2

                =  2 + √3.

300 stone tiles would be needed to make a patio that has a total area of 300 ft²

An equation is an expression that shows the relationship between two or more variables and numbers.

Area of triangle = (1/2) * base * height = 0.5 * 20 ft * 6 ft = 60 ft²

Area of rectangle = base * height = 20 ft * 12 ft = 240 ft²

Total area of patio = 60 ft² + 240 ft² = 300 ft²

Number of stone tiles needed = 300 ft² / 1 ft² = 300

300 stone tiles would be needed to make a patio that has a total area of 300 ft²

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Answer:

300

Step-by-step explanation:

B

Answer:

Slope is 1

Step-by-step explanation:

Slope=RISE/RUN

You can see the slope is constant. To clarify we can do an example.

So rise can be 2

And run is also 2

Change in y is equal to change in x

so 2/2=1

Hope it helps

Slope

The option that  accurately  fit the description that  explains how a fair decision can be made in this situation is option A - the sum of the slips of paper is 9.

This is known to be  scientific method used when each unit in a population is known or said to have an equal chance of been selection for  any inclusion into a sample.

The option that  accurately  fit the description that  explains how a fair decision can be made in this situation is option A - the sum of the slips of paper is 9, a small coffee will be ordered. if the sum of the slips of paper is 11, a medium coffee will be ordered. If the sum of the slips of paper is 6 or 14, a large coffee will be ordered.

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Answer:

P=41.72

Step-by-step explanation:

S=ACxDB/2

81.7=8.6xDB/2

81.7=4.3xDB|:4.3

19(mm)=DB

DO=19/2=9.5

OC=8.6/2=4.3

(O is the center of the rhombus, where two diagonals meet)

a²+b²=c² (DO²+OC²=DC²)

9.5²+4.3²=c²

90.25+18,49=c²

√108,74=√c²

c≈10.43

P=4c

P=4x10.43

P=41.72

Hope it helps:)

Answer:

Step-by-step explanation:

Given functions f(x) and g(x).

The y-intercept is the output of the function with the input of zero.

In other words the y -intercept is:

Let's determine the y-intercept of the given functions:

We see both functions have same y-intercept with the value of -3.

The matching answer choice is A.

Answer:  504 cm^2

The surface area of the shape is:

3 3 * 3=9

9 * 7=63

63+9=72 * 7

=504cm^2

Answer:

70%

Step-by-step explanation:

Two Steps to Convert a Fraction to a Percent

Use division to convert the fraction to a decimal:

7/10 = 7 ÷ 10 = 0.7

Multiply by 100 to get the percent value:

0.7 × 100 = 70%

Therefore the answer is 70%.

Answer:  3082.2

Step-by-step explanation:

Answer: 3,082.2 ft

Step-by-step explanation:

You must apply the formula for calculate the perimeter of a circle, which is:

P=πd where,

P is the perimeter of the circle. (P=9,687 ft)

d is the diameter of the circle.

When you solve for d, you get:

d = P/π

d = (9,687 ft)/(22/7)

d = 3,082.2 ft

Therefore, the answer is: 3,082.2 ft

The value of the integral 3ydx+2xdy using Green's theorem be - xy

The value of    [tex]\int\limits_c 3ydx+2xdy[/tex]  be -xy

Green's theorem relates a line integral around a simple closed curve C to a double integral over the plane region D bounded by C.

If M and N are functions of (x, y) defined on an open region containing D and having continuous partial derivatives there, then

[tex]\int\limits_c Mdx+Ndy[/tex] = [tex]\int\int\〖(N_{x}-M_{y}) \;dxdy[/tex]

Using green's theorem, we have

[tex]\int\limits_c Mdx+Ndy[/tex] = [tex]\int\int\〖(N_{x}-M_{y}) \;dxdy[/tex] ............................... (1)

Here [tex]N_{x}[/tex] = differentiation of function N w.r.t. x

          [tex]M_{y}[/tex]= differentiation of function M w.r.t. y

Given function is: 3ydx + 2xdy

On comparing with equation (1), we get

M = 3y, N = 2x

Now, [tex]N_{x}[/tex] = [tex]\Luge\frac{dN}{dx}[/tex]

               = [tex]\frac{d}{dx} (2x)[/tex]

              = 2

and, [tex]M_{y}[/tex] = [tex]\Huge\frac{dM}{dy}[/tex]

             = [tex]\frac{d}{dy} (3y)[/tex]

             = 3

Now using Green's theorem

= [tex]\int\int\〖(2 -3) dx dy[/tex]

= [tex]\int\int\ -dxdy[/tex]

= [tex]-\int\ x dy[/tex]

=[tex]-xy[/tex]

The value of  [tex]\int\limits_c 3ydx+2xdy[/tex]  be -xy.

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Answer:

[tex] \large { \purple{ \sf {The \: value \: of \: sin \: Z \: is} \sf \frac{3}{5} }}[/tex]

Step-by-step explanation:

[tex] \large{\underline{\underline{\pink{\sf{To \: \: find :-}}}}}[/tex]

[tex] \textsf{The value of Sin Z}[/tex]

[tex]\large{\red{\underline{\textsf{Given :-}}}}[/tex]

YZ (B) = 32 (which the base of the triangle)

XZ (H) = 40 (which is the hypotenuse of the triangle)

[tex] \textsf{ \huge { \underline{ \orange{Solution :-}}}}[/tex]

[tex] \sf{The \: formula \: to \: find} \sin Z = \frac{P}{H} \\ \textsf{which \: means} \\ \sf \rightarrow \frac{perpendicular}{hypotenuse} [/tex]

But here we don't have perpendicular so we use Pythagoras theorem to find perpendicular

[tex]{ \sf {(perpendicular)}^{2} + \sf{(base)}^{2} = \sf {(hypotenuse)}^{2} } \\ \sf {(P)}^{2} + \sf {(B)}^{2} = \sf {(H)}^{2} [/tex]

let here P = P

[tex] \sf {(P)}^{2} + {(32)}^{2} = {(40)}^{2} \\ \sf {P}^{2} + 1024 = 1600 \\ \sf {P}^{2} = 1600 - 1024 \\ \sf {P}^{2} = 576 \\ \sf P = \sqrt{576} \\ \sf P = 24[/tex]

Now we to find Sin ZPH

[tex] \sf \ \sin Z = \frac{P}{H} \\ \implies \frac{24}{40} \\ \implies \frac{6}{10} \\ \implies \frac{3}{5} [/tex]

Answer:

  11.95 in

Step-by-step explanation:

We can find the slant height of a square-based pyramid by solving the area formula for the unknown value.

__

The formula for the area of a square-based pyramid can be written ...

  A = s(s +2h)

where s is the side of the square base, and h is the slant height.

Filling in the given values, we can solve for h:

  111.6 = 4(4 +2h)

  27.9 = 4 +2h . . . . . divide by 4

  13.95 = 2 +h . . . . . divide by 2

  11.95 = h . . . . . . . . subtract 2

The slant height of the figure is 11.95 inches.

Answer:

Do reciprocal of that and diameter formula and when your answer will come me just do square multiple of that

a prism

Step-by-step explanation:

it has two parallel, congruent bases that are connected by a lateral face

The probability of landing on the 4 spinners divided into four equal parts will be P=25%

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Here the spinner is divided into four parts of the colours green, red, yellow, and blue.So the number of the sample variable are:-

P(S)=[red,green,yellow,blue]=[4]

The favourable outcome is given as:-

F[s]=[1]

So the probability will be given by:-

P={1}÷{4}=0.25=0.25x 100=25\%

Hence the probability of landing on the 4 spinners divided into four equal parts will be P=25%

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There are 11 1/8 picec that equals 1 3/8

Answer:

Step-by-step explanation:

Explanation:

Notice that the terms are linear or constant, so this equation represents a straight line.

We can find the intersections with the

x

and

y

axes by setting

y

or

x

equal to zero, or equivalently covering up the corresponding term and solving the resultant equation.

So putting

x

=

0

we get:

3

y

=

12

Dividing both sides by

3

, we find:

y

=

4

So the line intercepts the

y

axis (which has equation

x

=

0

) at the point

(

0

,

4

)

If we instead put

y

=

0

then we get:

4

x

=

12

Answer:

2750

Step-by-step explanation:

Remark

You have to assume that this can be solved by using a proportion. A proportion is 2 equal ratios. Three parts of the 2 ratios must be known and your job is to find the 4th one.

Equation

w*L/C1 = w1*L1 / x

Solution

w = 8

L = 10

w1 = 20

L1  = 25

C1 = 449

C2= x

Solution

8*10/440 = 20*25/x          Combine

80/440 = 500 / x               Cross Multiply

80x = 440*500                  Combine

80x = 220000                  Divide by 80

x = 220000/80

Answer

x = 2750

Using the t-distribution, it is found that the most appropriate conclusion for the hypotesis test is given by:

Phone use did not change.

At the null hypothesis, we test if the mean has not changed, that is:

[tex]H_0: \mu = 0[/tex]

At the alternative hypothesis, we test if it has changed, that is:

[tex]H_1: \mu \neq 0[/tex].

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

In this problem, the values of those parameters are as follows:

[tex]\overline{x} = -0.2, \mu = 0, s = 9.1, s = 200[/tex]

Hence, the test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{-0.2 - 0}{\frac{9.1}{\sqrt{200}}}[/tex]

t = 0.31.

Considering a two-tailed test, as we are testing if the mean is different of a value, with a standard significance level of 0.05 and 200 - 1 = 199 df, the critical value is of [tex]|t^{\ast}| = 1.972[/tex].

Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis and the conclusion is:

Phone use did not change.

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Answer:

130 degrees

Step-by-step explanation:

2x+25+25=180

2x=130

Answer:

65°

Step-by-step explanation:

25+25+2x= 180(sum of all the angles of a triangle)

2x= 180-50

x=130/2= 65

The root of the polynomial f(x) = 20x⁴ + x³ + 8x² + x - 12 is at the point -4/5 and 3/4

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the polynomial:

f(x) = 20x⁴ + x³ + 8x² + x - 12

The root of the polynomials is at the point the graph of f(x) intersects with the x axis. This is at -4/5 and 3/4

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Answer:

A

Step-by-step explanation:

Did it on edge :)))

The value of x and y are 9 and 6. Then the measure of the angles ∠A, ∠B, ∠C, and ∠D will be 54°, 36°, 126°, and 144°.

If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral.

We know the sum of the opposite angle of the cyclic quadrilateral is 180°.

Then we have

14x + 9y = 180 ...1

4x + 24y = 180 ...2

By solving the equations 1 and 2, we have

x = 9 and y = 6

Then the measure of the angle will be

∠A = 9y = 9 × 6 = 54°

∠B = 4x = 4 × 9 = 36°

∠C = 14x = 14 × 9 = 126°

∠D = 24y = 24 × 6 = 144°

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Answer:

V= -WZ/xy

Step-by-step explanation:

-yxV=ZW

V=-ZW/yx

V=-ZW/yx

V=-WZ/xy

Answer:

80 miles

Step-by-step explanation:

40 miles per hour means you move 40 miles in one hour.

If it took 2 hours to travel between the two towns at 40 mph, multiply 40 by 2 and you get 80.

Hope this helps!

Answer:

your answer would be 80 miles

Answer:

B. 3.14

C. .33

E. 3.46

remember rational number are can be measured from decimals and even fractions.

Answer:

7 i think because 10-3 =7

also 3+7 =10

Step-by-step explanation:

Answer:

Its 7 because it you do 10-3 it would equal up to 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

No wonder you are posting this. You should never have to rely on a diagram to get an answer, and this diagram is particularly unreliable. What exactly does the peak mean? Does it tell you that the peak is both y and 20 degrees? I'm going to assume so. But it is a very shakey assumption.

Pick a triangle with 2 ys in it. The third angle hits one of the sides of the triangle. Every triangle has 180 degrees. The top angle is 20 degrees and all ys therefor are 20 degrees. So the third angle is y + y + x =180

The 2xs are in a quadrilateral near the top. All quadrilaterals have 360 degrees.  q and one of the angles are vertically opposite. q is then known.

Givens

y = 20

third angle = x

solution

triangles with 2 ys (isosceles)

y + y + x = 180

2y + x = 180

y = 20

2*20 + x = 180

40 + x = 180

x = 140

Quadrillateral

140 + 140 + 20 + vertically opposite q = 360

300 + vertically opposite q = 360

vertically opposite q = 360 - 300

vertically opposite q = 60

Answer

q = 60

Answer:

Option C, [tex]12\frac{1}{2}[/tex]

Step-by-step explanation:

Step 1:  Multiply both sides by 5/2

[tex]5 = \frac{2}{5}a[/tex]

[tex]5 * \frac{5}{2} = \frac{2}{5}a * \frac{5}{2}[/tex]

[tex]\frac{25}{2}=a[/tex]

[tex]12\frac{1}{2}=a[/tex]

Answer: Option C, [tex]12\frac{1}{2}[/tex]

Hope this helps!  Let me know if you have any questions

Answer:

66 °

Step-by-step explanation:

Given:

One angle of a right triangle measures 24°.

To Find:

What is the measure of the other acute angle?

Solve:

Note:

Total angles in a triangle 180 degree

Right Triangle ⇒ 90 degree

Let "x" be the measure of the other acute angle

90° + 24° + x = 360°

114° + x = 180°

x = 66°

Kavinsky~

Answer:

B. 13.5 in ^2

Just use the formula : 1/2 h ( a + b )

If in the case you need any other help , let me know. [ You need to pay me] :) Thanks!