1.6-metre tall man stands 11 m from the base of a tree. He views the top of the tree at an
angle of elevation of 58°. How tall is the tree?

Answer:

x-2x = -3 and x = 3

Step-by-step explanation:

Given the expression

y=x+5.... 1

y-2x=2.... 2

Substituting the first equation into the second we will have;

From 2;

y -2x = 2

x+5-2x = 2

x-2x +5 = 2

x-2x = 2-5

x-2x = -3

-x =-3

x =3

Hence the required equation is x-2x = -3 and x = 3

Answer:

(x + 5) – 2x = 2

Step-by-step explanation:

Edge 2021

Answer:

The volume of a right circular cone that has a height of 16 m and a base with a  circumference of 14.7 m is 3,620.62 m³

Step-by-step explanation:

The right cone (or cone of revolution, or right circular cone) is the solid of revolution formed by rotating a right triangle around one of its legs. The bottom circle of the cone is called the base. That is, a cone is a three-dimensional figure with a circular base. A curved surface connects the base and the vertex.

The volume of a 3-dimensional solid is the amount of space it occupies.

The volume V of a cone with radius r is one-third the area of ​​the base B times the height h. This is:

[tex]V=\frac{1}{3}*A*h[/tex]

where A=π*r²

Then: V=[tex]\frac{1}{3}[/tex] *π*r²*h

In this case r=14.7 m and h=16 m. Replacing:

V=[tex]\frac{1}{3}[/tex] *π*(14.7 m)²*16 m

Solving, you get:

V=3,620.62 m³

The volume of a right circular cone that has a height of 16 m and a base with a  circumference of 14.7 m is 3,620.62 m³

Answer:

The measure of C is 123°

The measure of B is 57

PLEAZE CORRECT IT OUT IM SORRY

Answer:

i believe the missing value is (3,-2)

Step-by-step explanation:

plz give me brainlyest

Answer:

It would be $2.34

Step-by-step explanation:

2.6x90=234 but in this case it is money so add a decimal

Answer:

slope = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2y - 4x + 8 = 0 ( subtract - 4x + 8 from both sides )

2y = 4x - 8 ( divide all terms by 2 )

y = 2x - 4 ← in slope- intercept form

with slope m = 2

Answer: The polynomial 3x2 is of one variable with a degree of 2.

The polynomial x2y + 3xy2 + 1 is of two variables a with a degree of 3.

Step-by-step explanation: For this case we have the following polynomials:

3x2

x2y + 3xy2 + 1

We have then:

For 3x2:

Classification: polynomial of one variable:

Degree: 2

For x2y + 3xy2 + 1:

Classification: polynomial of two variables

Degree: 2 + 1 = 3

Answer:

monomial  

2    

trinomial  

3

Step-by-step explanation:

Answer:

a = [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

4(2a + 2) = 8(2 - 3a)

Distribute.

8a + 4 = 16 - 24a

Add 24a to each side.

32a + 4 = 16

Subtract 4 from each side.

32a = 12

Divide 32 from each side.

a = [tex]\frac{3}{8}[/tex]

Answer:

18 rotations.

Step-by-step explanation:

As there are 360 degrees in a circle, by proportion, the time for 1 rotation

= (360/107) * 1

= 3.364 minutes.

So the number of rotations in 1 hour (60 minutes)

=  60 / 3.364

= 17.83

Number of rotations does the pulley make in an hour is 18.

Here,

A pulley rotates through 107° in one minute.

What is rotations?

The action or process of rotating on or as if on an axis or center.

Now,

As there are 360° in a circle, by proportion;

Time for one rotation = (360/107) x 1

                                = 3.364 minutes

Hence, number of rotations in 1 hour

= 60 / 3.364

= 17.83

So, Number of rotations does the pulley make in an hour is 18.

Learn more about the Rotations visit:

https://brainly.in/question/39626227

#SPJ2

Answer:

9.37 divide by two = 4.685

4.685 in 2DP = 4.68

Step-by-step explanation:

i hoped this helps.

Answer:

2.98 :)

Step-by-step explanation:

the circumference is when you do pi times diameter.

do 9.37 divided by 3.14(pi) to work out the diameter.

9.37/3.14=2.984

rounded its 2.98

Answer:

13x+23x=180[co interior angle♧

36x=180

x=5°

then,

<BCF=13X=13×5=65°

<CFE=23X=23×5=115

<CFG=<BCF[alternating angles]

<CFG=65°

Answer:

13x+23x=180[co interior angle♧

36x=180

x=5°

Step-by-step explanation:

9514 1404 393

Answer:

  Y = (-1, 5)

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, so have the same midpoint. That is ...

  (M +R)/2 = (A +Y)/2

  Y = M + R - A . . . . . . multiply by 2 and subtract A

  Y = (-3, 1) +(5, 7) -(3, 3) = (-3 +5 -3, 1 +7, -3) . . . . . substitute point coordinates

  Y = (-1, 5)

Coordinate geometry was used to find Y that makes MARY a parallelogram. The fact that there is a solution is proof enough that MARY is a parallelogram.

_____

Your teacher may expect the "proof" to be either or both of ...

Given the method used above, both of these are unnecessary. However, in the interest of completeness, we will demonstrate.

Slope and Length of MA

  slope = (3 -1)/(3 -(-3)) = 2/6 = 1/3

  length = √(2²+6²) = √40

Slope and Length of AR

  slope = (7 -3)/(5 -3) = 4/2 = 2

  length = √(4² +2²) = √20

Slope and Length of RY

  slope = (5 -7)/(-1 -5) = -2/-6 = 1/3 . . . . same as opposite side MA

  length = √((-2)²+(-6)²) = √40 . . . . . . . same as opposite side MA

Slope and Length of YM

  slope = (1 -5)/(-3 -(-1)) = -4/-2 = 2 . . . . same as opposite side AR

  length = √((-4)² +(-2)²) = √20 . . . . . .  same as opposite side AR

Opposite sides have the same slopes, so the figure is a parallelogram.

Opposite sides have the same lengths, so the figure is a parallelogram.

Answer:4

Step-by-step explanation:

The square root of 9 is 3, 3 multiplied by 2 is 6, and 10 - 6 =4.

Answer:

Priya is right.

Step-by-step explanation:

The factors of 80 is 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

The factor pairs of 80 are

1 x 80, 2 x 40, 4 x 20, 5 x 16 and 8 x 10

If Priya picks 2 x 40, then it's prime factorisation will be, 2 x 2 x 2 x 2 x 5 = 2⁴ x 5.

If Han picks, 5 x 16 = 5 x 2 x 2 x 2 x 2 = 5 x 2⁴ = 2⁴ x 5. This is the same.

Therefore, Priya is correct, because the factors of 80 are always the same, therefore which ever you start with, you'd always get the same answer.

Answer:

yes

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

Answer:

42 people are wearing sunscreen

Step-by-step explanation:

Step one:

given data

We are given that the ratio of those wearing sunscreen to those not wearing sunscreen was 7 to 5.

i.e 7:5

number of people not wearing sunscreen is 30

let us use part to part method to solve this problem

let the number of people wearing sunscreen be x

so,

7/5= x/30

cross multiply we have

5x=210

divide both sides by 5

x= 210/5

x=42 people are wearing sunscreen

Answer:

I think the answer is 42 to 30. 42 kids wearing sunscreen and 30 kids were not. 30 divided by 5 is 6. 6 x 5 is 30. so 6 x 7 is 42. Hence 42 to 30. :)

Answer:

11 44 0.250

18 48 0.375

11 40 0.275

about number 3 i have no idea

Step-by-step explanation:

prove me wrong

Answer:

the gas 4$

Step-by-step explanation:

5x=20

divide 5/5 to cancel the 5 then 20/5 and there you have it 4

Answer:

8(x-4)=-64

8x-32=-64 +32

8x=-32 :8

x=-4

Step-by-step explanation:

prove me wrong

Answer:

Open circle on 3 and an arrow going to the right of 3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

1/4+0.5=3/5 3/5=0.75 it is a rational number

the other ones are not rational because they are endless numbers

Answer:

Total cost= $760

Step-by-step explanation:

Giving the following information:

Number of students= 347

Each bus holds 44 students.

Bus cost= $95

First, we need to determine the number of buses needed:

Number of buses= total students / student per bus

Number of buses= 347 / 44

Number of buses= 7.88 = 8 buses

Now, the total cost:

Total cost= 8*95

Total cost= $760

3⁴= 3×3×3×3= 81

3⁵= 3×3×3×3×3= 243

hope it helps! please mark me brainliest

thank you!! have a good day ahead..

Answer:

this is 3⁴= 81 and 3⁵= 243

Answer:

229709x^4+2136000x^3+572539x^2

Step-by-step explanation: