The angle of depression of a point G on a horizontal ground from top T of an electrical pole is 25°. If the distance from G to the foot of the pole is 45m, calculate the height of the pole to the nearest whole number. PS: use scale 1:9.

Answer:

πx² -6πx + 9π

or

π(x² - 6x + 9)

Step-by-step explanation:

area = πr² = π(x-3)² = π(x² - 6x + 9) = πx² - 6πx + 9π

Answer:

The maximum pizza quantity would be with the pizza of 18 inch

Step-by-step explanation:

The size of the pizza in inches depicts its diameter.

Thus, 12 inch pizza means diameter of the pizza = 12 inch and 18 inch pizza means diameter = 18 inch

In case of either the CURCUMFERENCE OR AREA, the pizza with larger diameter will have larger CURCUMFERENCE and AREA as compared to the pizza with smaller diameter.

For instance

Area of 18 inch pizza

[tex]\pi * (18/2)^2\\= 254.34[/tex]Square inch

Area of 12 inch pizza

[tex]\pi * (12/2)^2\\= 113.04[/tex]Square inch

Circumference of 18 inch pizza

[tex]2*3.14*9 = 56.52[/tex]

Circumference of 12 inch pizza

[tex]2*3.14*6 = 37.68[/tex]

Answer:

1.875 gallons

Step-by-step explanation:

Data

distance = 50 mi

volume of gas = 1 gal

volume for 150 km = ?

Process

1.- Convert 50 mi into kilometers

                        1 mile ------------------- 1.6 km

                         x        ------------------ 150 km

                         x = (150 x 1)/1.6

                         x = 93.75 mi

2.- Calculate the gallons wasted

                         1 gallon ----------------- 50 mi

                         x            ---------------- 93.75 mi

                         x = (93.75 x 1)/50

                         x = 93.75/50

                        x = 1.875 gallons

Answer:

10

Step-by-step explanation:

1, 1, 4, 6, 6, 12, 12, 13, 15

[tex]LQ=\frac{9+1}{4} =2.5 term= \frac{1+4}{2}=\frac{5}{2}=2.5\\UQ= 3(\frac{9+1}{4}) =7.5 term= \frac{12+13}{2}=\frac{25}{2}=12.5\\IQR=UQ-LQ=12.5-2.5=10[/tex]

Step-by-step explanation:

[tex]9 - \frac{x}{5} = 3 \\ 9 - 5 \times \frac{x}{5} = 3 \times 5 \\ 9 - x = 15 \\ - 9 - x = - 9 + 15 \\ - x = 6 \\ - x \div - 1 = 6 \div - 1 \\ x = - 6[/tex]

Answer:

Yeah the answer is -6

Step-by-step explanation:

9-x/ 5= 3

9-x = 15 (5 times three)

-x = 6 (9-6)

x= -6 ( a variable can never Be negative, but we have to give the minus to 6)

I hope this helps!

Answer:

175 pi ^3

Step-by-step explanation:

The volume of the cylinder is 175π cubic units or 175π units³ if the radius of the base r is 5 units and the height of the cylinder h is 7 units option (A) 175π units³ is correct.

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

Volume can be defined as a three-dimensional space enclosed by an object or thing.

As we know,

We can find the volume of the cylinder by using the given formula:

[tex]\rm V = \pi r^2 h[/tex]

The radius of the base r = 5 units

The height of the cylinder h = 7 units

[tex]\rm V = \pi (5)^2 (7)[/tex]

V = 25x7π

V = 175π cubic units

Or

V = 175π units³

Thus, the volume of the cylinder is 175π cubic units or 175π units³ if the radius of the base r is 5 units and the height of the cylinder h is 7 units option (A) 175π units³ is correct.

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Step-by-step explanation:

Given

w(x) = - 3x - 4

Now

w(7) = - 3 * 7 - 4

= - 21 - 4

= - 25

Hope it will help :)❤

Answer:

The width of the rectangle is the same as the length of the cylinder (h). The area of each of the two circles is \\ (\\pi r^2\\) and the area of the rectangle is \\ (2 \\pi r times h\\).

Step-by-step explanation:

Answer:

36.80

Step-by-step explanation:

261 x .141 = 36.801

Step-by-step explanation:

18.706 → 19

18.706 → 18.71

18.706 = 19

18.706 = 18.71

Answer:

Step-by-step explanation:

x^2-18x+58=0

[tex]x^{2}[/tex] - 18x  + [tex](-9)^{2}[/tex]  +58 = [tex](-9)^{2}[/tex]

[tex](x-9)^{2}[/tex] +58 = 81

[tex](x-9)^{2}[/tex]  = 23

x - 9 = [tex]\sqrt{23}[/tex]

x = [tex]\sqrt{23}[/tex] + 9

:)  there you go   answer A) might be good

Answer:5.0

Step-by-step explanation:

The volume of a cylinder is [tex]\pi r^2h[/tex], since the radius is 1/2D, 2/2=1. Now, if [tex]\pi[/tex] is rounded to 3.14, the volume of the cylinder would be 1 x 1 x 3.14 x 4 = 12.56. Now, since there are 0.4 pound per cubic inch, 12.56 x 0.4 = 5.024. Rounded to tenth, the answer is 5.0 or 5.

Hope this helps!

Answer:

1331 feet3

Step-by-step explanation:

Answer:

V = (1/3)(121 in^2)(11 in) = 443.7 in^3

Step-by-step explanation:

If the side length of the square base is 11 cm, then the area of that base is (11 cm)^2, or 121 cm^2.  If the height of the pyramid is 11 cm (as you seem to indicate), then the volume of the squre pyramid is

V = (1/3)(121 in^2)(11 in) = 443.7 in^3

Answer:

[tex]x^{2} -16x +64 = 0[/tex]

Step-by-step explanation:

[tex](x-8)^{2}[/tex] is the same as saying [tex](x-8)(x-8)[/tex]

therefore, you use FOIL(first outside inside last) to get

[tex]x^{2} -8x-8x+64[/tex]

which is [tex]x^{2} -16x +64 = 0[/tex] in standard form

Answer:

The answer is 19.

Step-by-step explanation:

Theres already a first batter which means that there are only 19 people that can be second batter

Answer:

1.65$

Step-by-step explanation:

18.20$ (total price) - 4×1.25$ ( chips price) = 13.2$

13.2$ ( price of 8 hot dog)

price of one hot dog= 13.2$ ÷8= 1.65$

Answer:

-3u-4v

Step-by-step explanation:

5u+6v-(8u+10v)

=5u+6v+-1(8u+10v)

=5u+6v+-1(8u)+-1(10v)

=5u+6v+-8u+-10v

(combine like terms)

=5u+6v+-8u+-10v

=(5u+-8u)+(6v+-10v)

=-3u-4v

hope this helps

can you mark me brainliest pls

The value of the subtraction will be equal to -3u-4v.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the two expressions are (5u + 6v) and (8u + 10v). The subtraction will be calculated as,

5u+6v-(8u+10v)

S =5u+6v+-1(8u+10v)

S =5u+6v+-1(8u)+-1(10v)

S =5u+6v+-8u+-10v

(combine like terms)

S =5u+6v+-8u+-10v

S =(5u+-8u)+(6v+-10v)

S =-3u-4v

Therefore, the value of the subtraction will be equal to -3u-4v.

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Answer:

30 students

Step-by-step explanation:

Total number of students = 150

Of these students, 45 stated they eat breakfast on school days.

We need to find the percentage of the students in the survey stated they eat breakfast on school days. It can be calculated as follows :

[tex]\%=\dfrac{45}{150}\times 100\\\\=30[/tex]

Hence, out of 150, 30 students stated they eat breakfast on school days.

Answer

ria is 26 and her brother is 20

Answer:

m<N=68

Step-by-step explanation:

opposite angles of the parallelogram are equal(or congruent):

4x+36=6x-2

6x-4x=36+2

2x=38

x=38/2=19

the sum of the angles of the parallelogram =360

4x+36=4(19)+36=112 angle P

6x-2=6(19)-2=112 angle M

let Q= N=x

2x+112+112=360

2x=360-224

2x=136

x=136/2=68

Answer:

yes, the person above me is correct as well

Step-by-step explanation:

Answer:

Step-by-step explanation:

mean : added up the values and divide the result by the number of the values

Mr Jones = (5 + 6.25 + 5.75 + 6.50 + 8)/5 = $6.30

Mrs Jones = (5.50 + 7 + 6.25 + 5.75 + 7.75)/5 = $6.45

The difference between the two mean is 15 cents or $0.15

Answer:

22.33

Step-by-step explanation:

khan

B. 60 m is the height of the triangle

Answer:

B. 60m

Step-by-step explanation:

i took the test

Answer:

0.3

Step-by-step explanation:

Answer:

x²

Step-by-step explanation:

-2x²- (-3x²) = x²

_______

Answer:

f(x) = log (x-5)

Step-by-step explanation:

__________

f(x) = log(x - 5) is the  function has an asymptote at x = 5 and an x-intercept of (6,0)

A relation is a function if it has only One y-value for each x-value.

we need to find the function which has an asymptote at x = 5 and an x-intercept of (6,0)

An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity.

There are three types of asymptotes: vertical, horizontal and oblique.

The asymptotes are lines, they are written as equations of lines. The vertical asymptotes are x = 5.

f(x) = log(x - 5) is the  function has an asymptote at x = 5 and an x-intercept of (6,0)

Hence, f(x) = log(x - 5) is the  function has an asymptote at x = 5 and an x-intercept of (6,0)

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Note: 2/75 = 0.0267 = 2.67% approximately

========================================================

Explanation:

The states that start with "A" are:

We have four states out of 50 total. The probability of picking a state that starts with "A" is 4/50 = 2/25.

When rolling a single die, the possible outcomes are {1,2,3,4,5,6}. The subset {1,2} represents any time we roll less than three. There are 2 ways to roll less than three, out of 6 ways total. So we have a probability of 2/6 = 1/3 here.

We'll multiply the fractions to get our answer:

(2/25)*(1/3) = (2*1)/(25*3) = 2/75