PLEASE HELP ME ON THIS THE ANSWERS ARE 1/3 cm/s, 1/2 cm/s, 2/3 cm/s, and 3/2 cm/s

Answer:

The distance from the flagpole to the tree is 27 ft

Step-by-step explanation:

Similar Triangles

Since the elevation angle from which the trees cast their shadows has the same measure and given the tree and the flagpole and the ground form right angles, both triangles are similar.

Similar triangles have their corresponding side lengths proportional. The ratio between the distances from the bench to the tree and flagpole and their heights is constant, i.e.:

[tex]\displaystyle \frac{16}{18}=\frac{40}{x}[/tex]

Where x is the distance from the bench to the tree.

Solving for x:

[tex]\displaystyle x=40\cdot \frac{18}{16}[/tex]

x = 45 feet

Thus the distance from the flagpole to the tree is 45 - 18 = 27 feet

Step-by-step explanation:

[tex] {81}^{ \frac{1}{2} } = \sqrt{81} = 9[/tex]

Answer:

[tex] {81}^{ \frac{1}{2} } \\ = \sqrt{81 } \\ = \sqrt{3 \times 3 \times 3 \times 3} \\ = 3 \times 3 \\ = 9[/tex]

Hope it helps you!! Btw, r u a BTS ARMY?

Answer:

I can see it, sorry

Step-by-step explanation:

Answer:

[tex]x {}^{2} - 8x + 5 \\ = x {}^{2} - 8 x+ 5 + 11 - 11 \\ = x {}^{2} - 8x +16 - 11 \\ = (x - 4) {}^{2} - 11 \\ [/tex]

A is 4 and b is 11

Answer:

33.49

Step-by-step explanation:

just did that

Answer:

20% (I believe)

Step-by-step explanation:

If you divide 16 from 320 you should get 20, and 20% of 320 is 16! :3  (I really hope that this helps- I'm not the best at math ;w;)

The value of y when -2(-30) - 3y = 42 is that y will be 6 so therefor the answer is y = 6

Answer:

a)

i) we have the equation:

3*x - 2*y

We want to find a common multiple of 3 and 2.

One can be:

3*6 = 18

2*9 = 18

And both numbers 6 and 9 are on the list, then if we take:

x = 6, y = 9

we get:

3*6 - 2*9 = 18 - 18 = 0

The solution is x = 6, y = 9.

ii) The greatest possible value of:

3*x - 2*y

Will be when x is the largest value of the list (because it is on the positive term) and y is the smallest value on the list (because it is on the negative term)

then we need to have x = 10, y = 5

The value will be:

3*10 - 2*5 = 30 - 10 = 20

iii) Now we want to have the smallest value on x, and the largest one on y, then:

x = 5, y = 10

The smallest value of the equation will be:

3*5 - 2*10 = 15 - 20 = -5

B) We want to solve:

5*(a - 4*b)

when:

a = -7

b = 1/4

This is kinda easy, we just need to replace the variables in the equation to get:

5*(a - 4*b) = 5*(-7 - 4*(1/4)) = 5*(-7 - 4/4) = 5*-8 = -40

Answer:

1) b= 39.5

2) c= 3.6

3) a=19

Step-by-step explanation:

Use the Pythagorean Theorem to find the missing side length.

"C" is the hypotenuse. Pythagorean Theorem: a^2+b^2=c^2

1) 11^2+b^2=c^41

121+b^2=1681

121-121+b^2=1681-121

b^2=1560

b= 39.5

2) 2^2+3^2=c^2

4+9=c^2

13=c^2

c= 3.6

3) a^2+9^2=21^2

a^2+81=441

a^2+81-81=441-81

a^2=360

a=19

Hope this helps!

Answer:

1:4

Step-by-step explanation:

every one space on the green triangle, is equal to four spaces on the red triangle.

Answer:

x> or equal to 35. 36 is a solution.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

The answer is Battle of Midway

Step-by-step explanation:

Answer:

A.s<30

Step-by-step explanation:

We are given that

Number of students who ride in a bus=s

We have to find the inequality which represents the given situation.

According to question

s<30

A.s<30

It is true.

B.s>30

It is false because s is less than 30

C.[tex]s\geq 30[/tex]

It is false because s<30

D.[tex]s\leq 30[/tex]

It is false because s<30

Option A is true.

Answer:

[tex]4y + 3y[/tex]

[tex]4y + 3y \\ = 7y[/tex]

Answer:

The perimeter is 28.13 cm

Step-by-step explanation:

We connect a line from A to C

we can use the cosine rule to find the length AC

let us call it x

AC^2 = AB^2 + BC^2 - 2(AB)(BC) cos B

we have this as;

x^2 = 6^2 + 8^2 - 2(6)(8) cos 95

x^2 = 36 + 64 + 8.37

x^2 = 108.37

x = √108.37

x = 10.4 cm

AC = 10.4 cm

now, let us look at triangle ADC Where we have AC as the hypotenuse as it is the side facing the right angle

We can use Pythagoras’ theorem to get the value of CD

We have it that the square of the hypotenuse AC is the sum of the squares of the two other sides

let DC be y

10.4^2 = 5^2 + y^2

y^2 = 108.37 - 25

y^2 = 83.37

y = √83.37

y = 9.13 cm

The perimeter of the shape is the sum of all its sides

so we have;

AB + BC + CD + AD

= 6 + 8 + 9.13 + 5

= 28.13 cm

Answer:

2.75

Step-by-step explanation:

let x be the number.

0.75 + 2 = x

2.75 = x

Answer:

2.75

Step-by-step explanation:

0.75 +2.00

0.75 + 1.00 = 1.75

0.75 + 2.00 = 2.75

Answer:

There will still be 1.75 pounds of trash left

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

Answer:

I think it's B for x is less than and equal too 1

Step-by-step explanation:

It's probly you should use the line where the shading is going.

Answer:

Yes

Step-by-step explanation:

Answer: k=9

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

765+2

Answer:

27

Step-by-step explanation:

Step-by-step explanation:

Volume = width × length × height

= (5×8×22) + (5×12×8)

= ....... m³

Answer:

They are like terms

Step-by-step explanation:

Answer:They are like terms!

Step-by-step explanation: