Suppose that you are headed toward a plateau 37 meters high. If the angle of elevation to the top of the plateau is ​, how far are you from the base of the​ plateau?

Answer:

Step-by-step explanation:

Given system:

Substitute x into the second equation:

Find x:

Answer:

x = 2 and y = -2

Step-by-step explanation:

Given system :-

y + 4 = x

10x + 2y = 16

Solve the system by substitution:-

Let,

y + 4 = x ...(1)

10x + 2y = 16 ...(2)

Solve for y;

Substitute y + 4 as x in the eq.(2)

10( y + 4 ) + 2y = 16

10y + 40 + 2y = 16

12y + 40 = 16

12y = 16 - 40

12y = -24

12y / 12 = -24/12

Hence, y = -2

Solve for x.

-2 + 4 = x

Hence, 2 = x

Answer:

35

Step-by-step explanation:

square root of 1225 is 35

Answer:

Write 1225 as 5 x 5 x 7 x 7

So, 52 x 72 = 1225

So (5 x 7)2 = 1225

So √1225 = 5 x 7 = 35

Answer:

Perimeter: 30 Area: 30

Step-by-step explanation:

Perimeter of a triangle= Add all sides = 5+12+13 = 30

Area of a triangle= (B*H)/2 = (5*12)/2 = 60/2 = 30

Hope this helps! :)

Answer:

We reject the Null and conclude that There is significant evidence that the slope values are greater than 0.

Step-by-step explanation:

Based on the ANOVA output given :

The F critical value can be obtained thus ;

F(df regression, df error)

Using an α-value of 0.01

F(2, 12) at α = 0.01 is 6.927

The F statistic as obtained from the ANOVA table = 134.65

Since, F statistic > F critical we reject the Null and conclude that slope values are significantly > 0

Similarly,

Using the Pvalue :

The Pvalue of the slope are extremely small :

Viscosity <0.0001

Load <0.0001

At α = 0.01, 0.025

The Pvalue < α ; The null will be rejected.

Answer:

the answer is 5 and u know the rest

Answer:

No solution

Step-by-step explanation:

5x+10y=3 equation 1

10x+20y=8 equation 2

-2(5x+10y)=-2(3) multiply equation 1 by -2 to eliminate x

-10x-20y=-6 equation 1 multiplied by -2

10x+20y=8 equation 2

0  +  0  =2. Add above equations

    0      =2  

no solution

Answer:

1326

Step-by-step explanation:

[tex]{52\choose2}=\frac{52!}{(52-2)!2!}=\frac{52!}{50!*2!}=1326[/tex]

Answer: See explanation

Step-by-step explanation:

Your question isn't complete and well written but I'll give examples on the calculation of the area of a circle.

1. Let's assume that a circle has a radius of 14cm and we want to know the area.

Area of a circle = πr²

where π = 3.142

r = radius = 14cm

Area = πr² = 3.142 × 14²

= 3.142 × 196

= 615.382cm²

2. Let's assume that we are given a diameter of 10cm and told to calculate the area of the circle.

Note that Diameter is twice the radius.

Area of a circle = πr²

where π = 3.142

r = radius = Diameter/2 = 10cm/2 = 5cm

Area = πr² = 3.142 × 5²

= 3.142 × 25

= 78.55cm²

Answer:

P' (5, -4)

Step-by-step explanation:

P (4, -7)

x = 4 & Y =-7

T(4,. -7) = (4 + 1, -7 +3)

P' = (5, -4)

Answer:

Volume of composite figure = 44.9 feet³

Step-by-step explanation:

Given:

Height of cylinder = 3.5 feet

Diameter of cylinder = 3.5 feet

Diameter of hemisphere = 3.5 feet

Find:

Volume of composite figure

Computation:

Radius of cylinder and sphere = 3.5/2 = 1.75 feet

Volume of composite figure = Volume of cylinder + Volume of hemisphere

Volume of composite figure = πr²h + (2/3)πr³

Volume of composite figure = (3.14)(1.75)²(3.5) + (2/3)(3.14)(1.75)³

Volume of composite figure = (3.14)(3.0625)(3.5) + (2/3)(3.14)(5.359375)

Volume of composite figure = 33.656875 + 11.2189583

Volume of composite figure = 44.8758

Volume of composite figure = 44.9 feet³

Answer:

Step-by-step explanation:

every thing looks good,  except the question says  "round"   and soooooo,  if you are rounding to the 2nd decimal place,  then the next two decimal places are  54,      or  50.2654   so, to round that, round up , so your final answer would look like   50.27   :)  see?

9514 1404 393

Answer:

  50.24 inches  (or 50.2 inches)

Step-by-step explanation:

The formula for circumference in terms of radius is ...

  C = 2πr

Using the given values for radius and for pi, the circumference is ...

  C = 2(3.14)(8 in) = 50.24 in

__

Additional comment

If you use a more accurate value of pi, the rounded value is 50.27 in. That is not the value requested by this problem. It helps to follow directions.

If you like, you can round to 50.2, since only one decimal place is required in the result.

Answer:

<A ≈ 45 degrees

<B ≈ 57 degrees

<C ≈ 78 degrees

Step-by-step explanation:

Hi there!

1) Find <C with the law of cosines

Typically, we want to solve for the angle opposite the largest side first.

Law of cosines: [tex]cosC=\frac{a^2+b^2-c^2}{2(a)(b)}[/tex]

Plug in given values

[tex]cosC=\frac{5^2+6^2-7^2}{2(5)(6)}\\cosC=\frac{1}{5}\\C=cos^-^1(\frac{1}{5} )\\C=78[/tex]

Therefore, <C is approximately 78 degrees.

2) Find <B with the law of cosines

[tex]cosB=\frac{a^2+c^2-b^2}{2(a)(c)}[/tex]

Plug in given values

[tex]cosB=\frac{5^2+7^2-6^2}{2(5)(7)}\\cosB=\frac{19}{35}\\B=cos^-^1(\frac{19}{35})\\B=57[/tex]

Therefore, <B is approximately 57 degrees.

3) Find <A

The sum of the interior angles of a triangle is 180 degrees. To solve for <A, subtract <B and <C from 180:

180-57-78

= 45

Therefore, <A is 45 degrees.

I hope this helps!

Answer:

5 points per post and 2 points per replies

Answer: The line starts at 1 positive, then from there go -4 (so go to the left) then 1 down from that point.

Step-by-step explanation: the problem is supposed to have been Y= -4/1 +1

Answer:

5

Step-by-step explanation:

When a square root of an expression is multiplied by itself, the result is that expression

5=x

Answer:

true

Step-by-step explanation:

(f×g)×x = f(x)×g(x)

Answer:

See below

Step-by-step explanation:

Given :-

To Prove :-

Proof :-

Here we are required to prove that ,

[tex]\rm\implies m\angle 5 + m\angle 6 + m\angle 2 = 180^o [/tex]

And here it's given that , y || z . Therefore ,

Now we know that the measure of a straight line is 180°. Therefore ,

[tex]\rm\implies m\angle 1 + m\angle 2 + m\angle 3 = 180^o \\\\\implies\boxed{\rm m\angle 5 + m\angle 6 + m\angle 2 = 180^o} [/tex]

Hence Proved !

Answer:

[tex]\frac{8}{45}[/tex]

Step-by-step explanation:

'of' means 'multiply'

4/5 × 2/9 = 8/45

Answer:

32

Step-by-step explanation:

18 : 6 = 3

therefore, x : 3 has to equal 3.

X : 3 = 3

X = 3 × 3

X = 9

To verify:

18 : 6 = 9 : 3

3 = 3

It's true that X = 9, so now just replace the X with 9 in the next equation

5 + 3(9) = 32

Answer:

32

Step-by-step explanation:

18 :  6 = x : 3

Product of means  =  Product of extremes

6 * x = 3*18

     x = [tex]\frac{3*18}{6}[/tex]

     x = 3*3

x = 9

Now plugin x = 9 in the expression

5 + 3x = 5 + 3*9

          = 5 + 27

          = 32

Answer:

You don't really need to do it, but it helps you keep things more organized and easier to follow. Imagine if you're doing some multi-variable equation,

2a + 5b + 4d + 3c + b + a + 2d

that looks like a mess, it'll be easier to look at if you put all the similar variables next to each others like this:

a + 2a + b + 5b + 3c + 2d + 4d

(a + 2a) + (b + 5b) + 3c + (2d + 4d)

now you can add them up much easier.

Based on the height that the wires attach, and the base length of the stakes, the length of the wire is 29 ft.

This can be solved with the Pythagorean theorem because the height can be treated as the height of a right-angled triangle. The base as the base of the triangle.

The length of the wire is the hypothenuse.

Length:
c² = a² + b²

c² = 21² + 20²

c² = 841

c = √841

= 29 ft

Find out more on the Pythagorean theorem at https://brainly.com/question/343682.

#SPJ1

Answer:

Step-by-step explanation:

As shown in the graph,

A, B, C and D are the vertices of a square, all sides of the square will be equal in measure.

Coordinates of A → (0, 0)

Coordinates of B → (0, m)

Distance between point D and point A = m

Therefore, coordinates of point D → (m, 0)

Now point C will be equally distant from the points B and D.

Coordinates of C → (m, m)

Answer:

[tex]h=\sqrt{16(4)}[/tex]

[tex]h=8[/tex]

[tex]ANSWER:E) 8[/tex]

-------------------------------

~HOPE IT HELPS

~HAVE A GREAT DAY!!

If the question meant that we should write a linear prediction function ;

Answer:

y = bx + c

Step-by-step explanation:

The equation for a linear regression prediction function is stated in the form :

y = bx + c

Where ;

y = Predicted or dependent variable

b = slope Coefficient

c = The intercept value

x = predictor or independent variable

Therefore, the Linear function Given represents a simple linear model for one dependent variable, x

b : is the slope value of the equation, whuch represents a change in y per unit change in x

Answer:

Angle formed by the sector measuring x% will be 126°.

Step-by-step explanation:

Since, sum of all sectors formed in a circle is 100%.

By adding the measures of all the sectors,

x + x + 21 + 9 = 100

2x + 30 = 100

2x = 70

x = 35%

Now we know sum of all the central angles formed at the center of a circle = 360°

Therefore, angle formed by x% = 360° × 35%

                                                    = [tex]\frac{360\times 35}{100}[/tex]

                                                    = 126°

Answer:

D

Step-by-step explanation:

The 2 lines intersect at (1, 5)

Answer:

D

Step-by-step explanation:

the line intersects at 1（x-axis）and 5（y-axis）

Answer:

x= -4

Step-by-step explanation:

A line is 180 degrees. This means that we can use the equation

60+x+124=180

Simplify:

184+x=180

x= -4

We can check this answer by plugging it back in:

60 + (-4) +124 =180

180=180

I hope this helps!

Step-by-step explanation:

[tex]60 + 124 + x = 180 \\ 180 - 184 = x \\ x = - 4[/tex]