A surveyor is trying to find the length of a lake. He finds a baseline distance AB of 125 m. Angle A is measured to be 41.6° and angle B is measured at 124.3°. Find the length of the lake d. Please and Thank you.

Answer:

OHHHHHHHH wait It went up by 8%!

Step-by-step explanation:

Step-by-step explanation:

When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative

Please note that your equation sounds a little unclear. But, I am assuming that your equations in two ways and solving both equations.

[tex]4x+5y^3=-7[/tex]

[tex]4x+5y=-37[/tex]

so, I will solve both of them.

Answer:

Please check the explanation.

Step-by-step explanation:

1)

Assuming the equation

[tex]4x+5y^3=-7[/tex]

substituting x = -4 and y = 2

[tex]4\left(-4\right)+5\left(2\right)^3=-7[/tex]

[tex]-16+2^3\cdot \:\:5=-7[/tex]

[tex]-16+40=-7[/tex]

[tex]24=-7[/tex]

False!

The sides are not equal!

Since (-4, 2) does not satisfy the equation, therefore (-4, 2) is not a solution of [tex]4x+5y^3=-7[/tex].

2)

[tex]4x+5y=-37[/tex]

Assuming the equation

[tex]4x+5y=-37[/tex]

substituting x = -4 and y = 2

[tex]4\left(-4\right)+5\left(2\right)=-37[/tex]

[tex]-16 + 10 = -37[/tex]

[tex]-6=-37[/tex]

False!

The sides are not equal!

Since (-4, 2) does not satisfy the equation, therefore (-4, 2) is not a solution of [tex]4x+5y=-37[/tex].

Answer: 6x + 16

Step-by-step explanation:

2(3x+8)

Use distributive property and get:

6x + 16

Answer:

They are adjacent

Step-by-step explanation:

Answer:

the answer is D. 24

Step-by-step explanation:

the smaller triangle is half the size of the bigger triangle so just divide 48 by 2

Answer:

4

Step-by-step explanation: 2x+5=13

                                                  -5   -5

                                                   2x=8

                                                   /2     /2

                                                      x=4

Answer:

X = 4

Step-by-step explanation:

Subract 5 from 5 and 13

Simplify: 2x = 8

divide both sides of the equation by the same term 2x/2 8/2

which gets you x = 4

Answer:

[tex]P(B) = 0.55[/tex]

Step-by-step explanation:

Given

[tex]P(A\ or\ B) = 0.8[/tex]

[tex]P(A) = 0.4[/tex]

[tex]P(A\ and\ B) = 0.15[/tex]

Required

Find P(B)

In probability, we have:

[tex]P(A\ or\ B) = P(A) + P(B) - P(A\ sd B)[/tex]

Substitute values

[tex]0.8 = 0.4 + P(B) - 0.15[/tex]

Collect Like Terms

[tex]P(B) = 0.8 - 0.4 + 0.15[/tex]

[tex]P(B) = 0.55[/tex]

Answer:

Step-by-step explanation:

The total surface area of the prism is the sum of the base area and the lateral area. The base area is made up of two right triangles, so will be the product of the triangle leg dimensions. The lateral area is made up of three rectangles whose width is that of the prism and whose equivalent length is the perimeter of the triangle base.

For the smaller prism, the area is ...

  (20 m)(21 m) +(3 m)(20 m + 21 m + 29 m) = 420 m² +210 m² = 630 m²

The larger prism is similar, with a scale factor of 2, so its area will be 2² = 4 times that of the smaller prism:

  4×630 m² = 2520 m²

__

In summary, the total surface area of each prism is ...

Answer: 12

Step-by-step explanation: 25.75a+7.25b=454

a+b=32

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

The answer is on the bottom if you just wanna scroll down.

The first thing that you would want to do is turn the equation of the given line into slope-intercept form (it's just easier). To do that, you would want to isolate  y on either side. So subtract 2x and divide both sides by 5 and you get: y=-2/5x-3. After you do this, remember that perpendicular lines have the negative reciprical slope of the original line. So since the slope is -2/5, the slope of a perpendicular line would be 5/2. Now you have m=5/2 which is your slope! Now you can use slope point form which is y-y_1=m(x-x_1). You know your m which is 5/2. y-y_1=5/2(x-x_1). Since we know that the line passes through the point (5,-5) we can just plug the numbers in. y-(-5)=5/2(x-5). simplify everything: y+5=5/2(x-5). Remember, math is all about making things simple and easy. since the problem didn't say a specific type of equation, you can just put that as your answer!

Answer:

y+5=5/2(x-5)

Hope this helps! (If it's wrong, plz leave sum comments. thx lol)

Answer:

9m-2

Step-by-step explanation:

There are m packs of markers, with 9 markers in each, so you multiply and get 9m. Then it says two markers fewer and that means subtract so it'’s 9m-2

Answer:

45

Step-by-step explanation:

Answer:

All of them

Step-by-step explanation:

Answer:

50 Degrees

Step-by-step explanation:

Answer:

well for me I think

Step-by-step explanation:

+10

T=-4.3+10

T=5.7°C

Answer:

x = 1 and y = 3

Step-by-step explanation:

To use substitution, you want to substitute something for another variable. So lets take the first equation and solve for y

2x - y = -1

2x = y - 1

2x + 1 = y

Now we can substitute 2x + 1 for y in the other equation

3x + 2x + 1 = 6

5x = 5

x = 1

now that we have x, we can get y

2(1) - y = -1

2 - y = -1

2 = y - 1

3 = y

So x = 1 and y = 3

Answer:

48$

Step-by-step explanation:

80% of 80 is 64 which means she spent 16$ and saved 64$

so 64-16=48$

answer = 48$

Answer:

A

Step-by-step explanation:

Using Pythagorean theorem (a^2+b^2=c^2) you just plug them in. The hypotenuse is always the longest side so that would be 25. Then it doesn’t matter which side is a or b. 7^2+24^2=625

Then do the square root of 625.

Answer:

[tex] x = 27 [/tex]

Step-by-step explanation:

According to congruent chords and arcs theorem, if [tex] \overline{XY} \cong \overline{ZY} [/tex] then [tex] \arc{XY} \cong \arc{ZY} [/tex].

This means that [tex] \arc{XY} = \arc{ZY} = (6x - 20) degrees [/tex]

Thus:

[tex] \arc{XY} + \arc{ZY} + \arc{ZX} = 360 [/tex] (full circle = 360°)

[tex] \arc{XY} = (6x - 20) [/tex]

[tex] \arc{ZY} = (6x - 20) [/tex]

[tex] \arc{ZX} = 76 [/tex]

Plug in the values into the equation

[tex] (6x - 20) + (6x - 20) + 76 = 360 [/tex]

[tex] 6x - 20 + 6x - 20 + 76 = 360 [/tex]

Add like terms

[tex] 12x + 36 = 360 [/tex]

Subtract 36 on both sides

[tex] 12x = 360 - 36 [/tex]

[tex] 12x = 324 [/tex]

Divide both sides by 12

[tex] x = 27 [/tex]

Answer:

Length  [tex]=25[/tex] inches

Width [tex]= 15[/tex] inches

Step-by-step explanation:

Let [tex]l[/tex] = length of rectangle, [tex]w[/tex] = width of rectangle

Given the area and the perimeter of the rectangle, we can write:

[tex]lw = 375[/tex]

[tex]2l+2w=80[/tex]

So:

[tex]l+w = 80\div2[/tex]

[tex]=40[/tex]

[tex]l=40-w[/tex]

Now, we can use substitution to find the value of [tex]w[/tex]:

[tex]lw = 375[/tex]

[tex](40-w)w = 375[/tex]

[tex]40w-w^2 = 375[/tex]

[tex]375+w^2-40w = 0[/tex] (Quadratic equation)

[tex](w-15)(w-25) = 0[/tex]

∴ [tex]w = 15, 25[/tex]

We can use substitution again to find the value of [tex]l[/tex]

[tex]lw = 375[/tex]

[tex]l=375\div w[/tex]

[tex]=25,15[/tex]

∵ Length usually refers to the longer side of a rectangle, ∴ length [tex]=25[/tex] inches and width [tex]=15[/tex] inches.

Hope this helps :)

Answer:

A

Step-by-step explanation:

If you subtract 4 and add 16 you get 37

The square root of 36 is 6 and the square root of 49 is 7

so since 37 is closer to 36 it has to be than 7 and a little more than 6

Answer:

A. between 6.0 and 6.2

Step-by-step explanation:

solver using order of operations (PEMDAS)

[tex]\sqrt{25-4+16} \\\sqrt{21+16} \\\sqrt{37}\\6.08[/tex]

now that we have our answer we can see what numbers it fall between which are 6.0 and 6.2, giving us answer A

Answer:

B

Step-by-step explanation:

I just know it.

Answer:

16a + 20

12a + 20 + 4a

2(8a+10)

Step-by-step explanation:

Answer:

278,223

Step-by-step explanation:

Answer:

278223

Step-by-step explanation: