To find the height of a pole, a surveyor moves 150 feet away from the base of the pole and then, with a transit 4 feet tall, measures the angle of elevation to the top of the pole to be 42°. To the nearest foot, what is the height of the pole?

Answer:

$126

Step-by-step explanation:

5% of 120 is 6.

Then add it since it askes the total including tax.

6 + 120 = 126

Answer:

471.24

Step-by-step explanation:

The formula for circumference is 2×pi×r. Replace the r with 75 and multiply.

circumference of the race track = 471.24 yards.

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

Given,

radius of race track r = 75  yards

circumference of the park = 2πr

                                            = 2×3.1416×75

                                            = 471.24 yards

471.24 yards is the circumference of the race track.

Learn more about circle here:

https://brainly.com/question/29142813

#SPJ2

Answer:5 years is 650 10 years is 1300

Step-by-step explanation:

ANswer: 161.5ft???.....

Answer:

anyone know the real answer please i need helpppppppp

Step-by-step explanation:

please

Answer:

5 but fair losing would be three-fifths

Step-by-step explanation:

The measure of ∠7 is 47°. Angle 7 is a vertical angle to angle 5

Suppose the measure of ∠6 is represented represented by (2x - 5), the equation that can be use to solve for x is 42 + 2x = 180

The value of x is 69

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.

Vertical opposite angles are congruent. Therefore,

a. ∠5 ≅ ∠7 (vertical angles)

Therefore, angles 5 and 7 are congruent angles.

∠7 = 47°

b. Suppose ∠6 = 2x - 5 . let's find x

Therefore,

∠5 + ∠6 = 180(angle on a straight line)

The equation to solve the above is as follows:

47 + 2x - 5 = 180

42 + 2x = 180

2x = 180 - 42

2x = 138

x = 138 / 2

x = 69

learn more on intersecting lines here: https://brainly.com/question/24715845

Answer:

a)  <5 and <7 have congruent angles. That means that both angles are equal, they have the same measure. This means that the measure of <7 is 47°.

<7 = 47°

b) 5 and 6 are adjacent, so this is the equation that we have to do to solve for the value of x.

<5 + <6 = 180°

47° + (2x - 5)° = 180°

c) To solve the linear equation we need to isolate x.

47° + (2x - 5)° = 180°

(2x - 5)° = 180° - 47° = 133°

2x - 5 = 133

2x = 133 + 5 = 138

x = 138/2 = 69

Answer:

Rs 190000

Step-by-step explanation:

Total property = Rs 1000000

For 1 son= 27% of the property

For 3 sons=27%×3= 81%

For daughter=100%-81%=19%

Now,

For daughter

19% of Rs 1000000

19/100 × Rs 100000

Rs 190000

Hence the daughter will get Rs 190000

Answer:

[tex]7\frac{5}{16}[/tex] ANSWER (C.

Step-by-step explanation:

Multiply [tex]9\frac{3}{4}[/tex] by [tex]\frac{3}{4}[/tex] to get [tex]\frac{117}{16}[/tex]

-

[tex]7\frac{5}{16} = \frac{117}{16}[/tex]

because 7 multiply by 16 plus 5 = 117

So 117 over 16

is the same as  [tex]7\frac{5}{16}[/tex] .

Answer:

140

Step-by-step explanation:

560. 1

____. ÷. ______

1. 4

Cross out the numbers that are divisible

560/4 = 140

Answer:

0

Step-by-step explanation:

when f(x) is divided by (x - h) then the remainder is f(h)

f(x) = x³ - 9x² + 6x + 2 with h = 1 , then

f(1) = 1³ - 9(1)² + 6(1) + 2 = 1  - 9 + 6 + 2 = 0

since the remainder is 0 then (x - 1) is a factor of f(x)

Answer:

For every 9 grasshoppers in Ryan's collection, there are 7 katydids.

Step-by-step explanation:

Answer:

(-1,-11)

Step-by-step explanation:

Since the Transformation happened to the g(x)

where we multiplied g(x) by -1 and g(x) represents the y-value

so the y-value will be multiplied by -1

New y-value = 11*-1 = -11

so the New Point will be (-1,-11)

Answer:

Step-by-step explanation:

I went onto desmos to see if any were parallel or perpendicular and I don't think that any of them are, so your answer is correct.

Answer: -6

Step-by-step explanation:

we know that 3x6=18

But, if you make it -6,

It will be -18!

Answer:

y= 76

x=104

z=104

...

....

....

....

...

Answer:

2

Step-by-step explanation:

Input is X, which is 18

Y = ⅓(18) - 4

= 6 - 4

= 2

Answer:

x < 9

Step-by-step explanation:

Move the -4 over as if there was an equal sign so that x < 9

Take the arrow that looks like this "<---O" that is not filled in and put it on the number 9.

Let me know if this helps <3

Answer:

x < 9

Step-by-step explanation:

The graphed solution starts with a open circle on the 9 number on the number line. Then there is a line that extends from the open circle all the way to the left.

Answer:

-450 dollars

[tex]500 - 450 = 50\\50 - 50 = 0\\0 - 480 = -480\\-480 + 30 = -450[/tex]

I hope this helps! Have a great day.

Answer:

-$450

Step-by-step explanation:

yup

Using relations in a right triangle, it is found that the length of AC is of 6.43 inches.

The relations in a right triangle are given as follows:

In this problem, the length of side AC is b, which is opposite to the angle of 40º, while the hypotenuse is of 10 in, hence:

[tex]\sin{40^\circ} = \frac{b}{10}[/tex]

[tex]b = 10 \times \sin{40^\circ}[/tex]

Using a calculator:

[tex]b = 6.43[/tex]

More can be learned about relations in a right triangle at https://brainly.com/question/26396675

Answer:

2 adults, 8 children.

Step-by-step explanation:

just add the prices together.

Answer:

#a

[tex] \implies\displaystyle{ \frac{3}{4} + \frac{5}{6} + \frac{7}{8}}[/tex]

Converting each of them into equivalent like fractions,

[tex] \implies{ \displaystyle \frac{3}{4} = \frac{3 \times 6}{4 \times 6} = \frac{18}{24} }[/tex]

[tex] \implies{ \displaystyle{ \frac{5}{6} = \frac{5 \times 4}{6 \times 4} = \frac{20}{24} }}[/tex]

[tex] \implies{ \displaystyle{ \frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24} }}[/tex]

[tex]{ \displaystyle{ \frac{3}{4} + \frac{5}{6} + \frac{7}{8} = \frac{18}{24} + \frac{20}{24} + \frac{21}{24} = \frac{59}{24} = 2\frac{11}{24} }}[/tex]

Shortcut method:-

[tex]\implies{ \displaystyle{ \frac{3}{4} + \frac{5}{6} + \frac{7}{8} }}[/tex]

[tex]\implies{ \displaystyle{ \frac{3 \times 6 + 5 \times 4 + 7 \times 3}{24} }}[/tex]

[tex]\implies{ \displaystyle{ \frac{18 + 20 + 21}{24} }}[/tex]

[tex]\implies{ \displaystyle{ \frac{59}{24} = 2 \frac{11}{24} }}[/tex]

Remarks:-

#b

[tex]\implies{ \displaystyle{6 \frac{1}{3} + 2 \frac{5}{6} + 3 \frac{7}{9} }}[/tex]

[tex]\implies{ \displaystyle{ \frac{19}{3} + \frac{17}{6} + \frac{34}{9} }}[/tex]

[tex]{ \displaystyle{ \frac{19}{3} + \frac{17}{6} + \frac{34}{9} = \frac{19 \times 6 + 17 \times 3 + 34 \times 2}{18} }}[/tex]

[tex]\implies{ \displaystyle{ \frac{144 + 51 + 68}{18} }}[/tex]

[tex]\implies{ \displaystyle{ \frac{233}{18} = 12 \frac{17}{18} }}[/tex]

Alternatively,

[tex]\implies{ \displaystyle{6 \frac{1}{3} + 2 \frac{5}{6} + 3 \frac{7}{9} }}[/tex]

[tex]\implies{ \displaystyle{(6 + 2 + 3) + \frac{1}{3} + \frac{5}{6} + \frac{7}{9} }}[/tex]

[tex]\implies{ \displaystyle{11 + \frac{1 \times 6 + 5 \times 3 + 7 \times 2}{18} }}[/tex]

[tex]\implies{ \displaystyle{11 + \frac{35}{18} }}[/tex]

[tex]\implies{ \displaystyle{11 + 1 \frac{17}{18} }}[/tex]

[tex]\implies{ \displaystyle{12 + \frac{17}{18} }}[/tex]

[tex]\implies{ \displaystyle{12 \frac{17}{18} }}[/tex]

[tex] \large \sf \frac{3}{4} + \frac{5}{6} + \frac{7}{8} [/tex]

Write all numerators above the least common denominator 24

[tex] \large \sf \frac{3 \times 6 +5 \times 4 + 7 \times 3 }{24} [/tex]

Multiply the numbers

[tex] \large \sf \frac{18 +20 + 21 }{24} [/tex]

Add the numbers

[tex] \large \sf \frac{59 }{24} [/tex]

[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]

[tex] \large \sf 6\frac{1}{3} + 2 \frac{5}{6} + 3 \frac{7}{9} [/tex]

Convert the mixed number to an improper fraction

[tex] \large \sf \frac{19}{3} + \frac{17}{6} + \frac{34}{9} [/tex]

Write all numerators above the least common denominator 18

[tex] \large \sf \frac{19 \times 6 + 17 \times 3 + 34 \times 2}{18} [/tex]

Multiply the numbers

[tex] \large \sf \frac{114+ 51 + 68}{18} [/tex]

Add the numbers

[tex] \large \sf \frac{233}{18} [/tex]

Answer:

Using EMV analysis, the number of units of the new product should be purchased for resale = Purchase 7.

The maximum EMV of profit you can make is 270.

Explanation:

We can use the following method to solve the given problem

Solution:

Using EMV analysis,

EMV (Purchase 6 for resale)= 6(40)(0.1) + 6(40)(0.4) + 6(40)(0.5)=240

EMV (Purchase 7 for resale) = [6(40)-60](0.1) +7(40)(0.4) + 7 (40)(0.5) = 270

EMV (Purchase 8 for resale) = [6(40)-2(60)] (0.1) + [7 (40) - 60] (0.4) + 8(40)(0.5)= 260

Largest EMV= 270; Choose to purchase 7 units for resale.

Step-by-step explanation:

Hopefully this helps :)

Answer:

x = (274/25)

Step-by-step explanation:

STEP 1:Isolate the square root on the left hand side

STEP 2:Eliminate the radical on the left hand side

STEP 3:Solve the linear equation

STEP 4:Check that the solution is correct

Original equation, root isolated, after tidy up     5√x+2 = 18     Plug in (274/25) for  x       5√(274/25)+2 = 18      Simplify      5√12.96 = 18      Solution checks !!     Solution is:       x = (274/25)

Answer:

that is if 35 at the beginning

x= -[tex]\frac{2386}{1225}[/tex]

and if it is 5

x=[tex]\frac{14}{25}[/tex]

Answer:

f(x)= -1(x-3)(x+4)

First blank: -1

2nd blank: 3

3rd blank: 4

Step-by-step explanation:

When the parabola is flipped upside down (opened downward) there should be a negative in front. So the first blank is -1. Also, this parabola has not been stretched or smashed, that's why the value is a 1. Again, negative, because its reflected (flipped).

The other two blanks will come from the x-intercepts. The curve crosses the x-axis at 3 and -4.

If x = 3, then

subtracting 3 from both sides

x - 3 = 0

That x-3 is the

x - blank in the problem. Fill in a 3.

If x = -4, then adding 4 to both sides,

x + 4 = 0

Likewise, this x+4 is the

x + blank

in the question. Fill in a 4.

Answer:

-1, 3, 4

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

r - rcosθ = 6

r - x = 6

r = 6 + x

r² = (6 + x)²

x² + y² = 36 + x² + 12x

y² = 36 + 12x

12x = y² - 36

x = y²/12 - 3

That is C

Answer:

(0,-4)(2,0) put that in there and connect them

Step-by-step explanation:

Answer:

He would get 30 boxes I think

Step-by-step explanation: I did the math, I hope its correct