4.0plsss help, will give brianlist

Trigonometric ratios are useful in calculating the side lengths of a triangle.

(a) Length, z

First we calculate (h) using the following sine ratio

[tex]\mathbf{sin(75) = \frac{h}{40}}[/tex]

Make h the subject

[tex]\mathbf{h = 40sin(75)}[/tex]

Next, we calculate (z) using the following sine ratio

[tex]\mathbf{sin(10)= \frac{h}{z}}[/tex]

Make z the subject

[tex]\mathbf{z= \frac{h}{sin(10)}}[/tex]

Substitute [tex]\mathbf{h = 40sin(75)}[/tex]

[tex]\mathbf{z= \frac{40sin(75)}{sin(10)}}[/tex]

[tex]\mathbf{z= 222.5 ft}[/tex]

Hence, the length of the zip line is 222.5 ft

(b) The height, h

In (a), we have

[tex]\mathbf{h = 40sin(75)}[/tex]

Evaluate

[tex]\mathbf{h = 38.6}[/tex]

Hence, the height where the ladder rests against the tree is 38.6 ft

(c) The distance, b

To do this, we make use of the following sine ratio

[tex]\mathbf{sin(15) = \frac{b}{40}}[/tex]

Make b the subject

[tex]\mathbf{b = 40sin(15)}[/tex]

[tex]\mathbf{b = 10.4}[/tex]

Hence, the distance between the base of the ladder and that of the tree is 10.4 ft

(d) Distance, B

To do this, we make use of the following sine ratio

[tex]\mathbf{sin(80) = \frac{B}{z}}[/tex]

Make B the subject

[tex]\mathbf{B = z\ sin(80)}[/tex]

Substitute [tex]\mathbf{z= 222.5 ft}[/tex]

[tex]\mathbf{B = 222.5\ sin(80)}[/tex]

[tex]\mathbf{B = 219.1}[/tex]

Hence, the distance between the base of the tree and the spot where the zip line is anchored to the ground is 219.1 ft

Read more about trigonometry ratios at:

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Answer:

when it is alternate

Step-by-step explanation:

Answer:

here

Step-by-step explanation:

when it iş alternate

Answer:

Answer is last option, -3.

Step-by-step explanation:

We know it's going to be a negative slope because the line is going down to the right, so it can't be eighther option 1 or 3.

Next it appears the line is going 3 units down and 1 unit to the right. So it will be written as -3/1 because of rise/run.

Hope this helps/makes sense :)

Answer:

Rate of Change: 2

Step-by-step explanation:

Rate of change is the same as slope:

( y1 - y2 ) / ( x1 - x2 )

( 2 - 4 ) / ( 0 - 1 )

( -2 ) / ( -1 )

2

Hopefully this helps!

Brainliest please?

Answer:

# of children = 170, # of Adults = 492 - 170 = 322

Step-by-step explanation:

Define C and A as

C = # of children

A = # of adults

Then,

A + C = 492

1.5C + 2.5A = 1060, so that

1.5C + 2.5(492 - C) = 1060

1.5C + 1230 - 2.5C = 1060

-C = 1060 - 1230

C = 170

Answer:

8

Step-by-step explanation:

32 = 2 x 2 x 2 x 2 x 2

48 = 2 x 2 x 2 x 2 x 3

72 = 2 x 2 x 2 x 3 x 3

HCF ( 32, 48, 72 )

= 2 x 2 x 2

= 8

Answer:

Step-by-step explanation:

Answer:

(-4)³= -64

(-8)²= -64

Step-by-step explanation:

sorry if I did it wrong

Answer:

108 eggs

Step-by-step explanation:

9×12=108 eggs

Hope it helps!!!

Answer:

46÷4 = 11.5

so tha answer is $11.50

Step-by-step explanation:

brainliest plz

Step-by-step explanation:

Use the Pythagorean Theorem to find the missing sides in the triangles.

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex]

Q2. [tex]c^{2}[/tex] = 8^2 + 40^2

[tex]c^{2}[/tex] = 1664

c = [tex]\sqrt{1664}[/tex]

c = 8[tex]\sqrt{26}[/tex]

Find the missing sides of the other triangles and figure out which ones are the same.

Q3. Do the same thing as Q2.

Answer:

[tex]5 < 2m[/tex]

Step-by-step explanation:

Please mark as Brainliest if this answer helped you! :)

(if you need it written in numbers as an expression, I hope this will help! The other answer interpreted it as an inequality, so hopefully one of these gives you the answer you are looking for!)

5 less than two times 'm'​

               \/

two times 'm'​ minus 5

       \/                \/

2m                   -5

            \/

      2m - 5

Answer:

a square has 4 sides each of those sides is 19in long perimeter is all around the square so you would add 19+19+19+19=79in

Answer: What is 76'' perimeter

19" side

P=4a=4·19=76in

Please allow me to know if my answer helped you by clicking thank you, rating or brainly.

Miss Hawaii

Algebraic equations are equations that have coefficients and unknown variables in them.

The equation that you can use to find the amount "v" Festive features normally charges for a vest is: 12(v - 6) = 132

The current cost per vest was v - $6

Where v = Initial cost of the vest

The total cost of 12 vests after price reduction was:

$132.

Hence, our equation is given as:

$132 = 12(v - $6)

12(v - 6) = 132

$132 = 12v - 72

Add 72 to both sides

$132 + 72 = 12V

204 = 12v

v = 204/12

v = $17

Thus: The amount  v, Festive Features normally charges for a vest is $17

Therefore, the equation to find the amount Festive Features normally charges for a vest is 12(v - 6) = 132

To learn more, visit the link below:

https://brainly.com/question/24993449

Answer:

$14.6

Step-by-step explanation: because adding how all they are in total.

Answer:

15 percent

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

(80-68)*(100/80)=15%

Answer:

ok so like it was in the 35 so you can add175 and that wi8ll be 321

Step-by-step explanation:

Answer:

f(- 7) = 0

Step-by-step explanation:

Substitute x = - 7 into f(x) , that is

f(- 7) = 2(- 7 - 5)(- 7 + 7)

       = 2 × - 12 × 0

      = - 24 × 0

     = 0

Answer:1/4 < 1/3 < 3/8 < 2/4 Hope that helps!:)

Step-by-step explanation:

Rewriting as equivalent fractions with the LCD:

1/3 1/4 2/4 3/8

8/24 6/24 12/24 9/24

Sorting this table by the numerators of the equivalent fractions in order from least to greatest:

1/4   1/3   3/8   2/4

6/24 < 8/24 < 9/24 < 12/24

Therefore, the sorted inputs in order from least to greatest is:

1/4 < 1/3 < 3/8 < 2/4

Answer:

I have asked question in my profile please tell me that answer please

Answer:

55

Step-by-step explanation:

rectangular triangle 180-(35+90)=55

Answer:

the answer is B. the sum will be close to ½

½= 14/28

1/4 + 2/7

= (7+8)/28

= 15/28

so, the answer is B

Step-by-step explanation:

hope it helps you

brainliest plz

Answer:

-6

Step-by-step explanation:

tbh I just used a calculator

Answer:

-2x + 4y - 6

Step-by-step explanation:

Our equation is this:

-2x + 8y - 11 - 3y - y + 5

Now, combine like terms:

-2x + 4y - 6

This equation is the most simplified it can be.

Hope this helps :)

Answer:

y = -3/7x + 5

Step-by-step explanation:

y2 - y1 / x2 - x1

2 - 8 / 7 - (-7)

-6/14

= -3/7

y = -3/7x + b

2 = -3/7(7) + b

2 = -3 + b

5 = b

Answer:

4

3 72/120

÷24 ÷24

3 3 / 5 = 3 + 3/5 = 3 + 6/10 = 3 + 0.6 = 3.6 ≈ 4 rounded to the nearest half since 3.6 is closer to 4 than 3

Step-by-step explanation:

Can you mark me as brainliest?

Answer:

d

Step-by-step explanalime boba no other

9514 1404 393

Answer:

  3.5 hours

Step-by-step explanation:

The separation distance is increasing at the rate of 20 mph + 60 mph = 80 mph. It will be 280 miles after ...

  time = distance/rate

  time = (280 mi)/(80 mi/h) = 3.5 h

The two cars will be 280 miles apart after 3 1/2 hours.

⠀⠀⠀⠀⠀⠀⠀⠀⠀➥ B = Bracket

⠀⠀⠀⠀⠀⠀⠀⠀⠀➥ O = Open

⠀⠀⠀⠀⠀⠀⠀⠀⠀➥ D = Division

⠀⠀⠀⠀⠀⠀⠀⠀⠀➥ M = Multiplication

⠀⠀⠀⠀⠀⠀⠀⠀⠀➥ A = Addition

⠀⠀⠀⠀⠀⠀⠀⠀⠀➥ S = Subtraction

Answer:

B= Bracket

O= Open

D=Divide

M=Multiplication

A=Addition

S=Subtraction

Answer:

c - 215/5 = p

Step-by-step explanation:

[tex]c = 5p + 215 \\ - 215 \: \: - 215 \\ \frac{c - 215}{5} \: \: \: \: \: \frac{5p}{5} \\ \\ \frac{c - 215}{5} \: = \: p[/tex]

Hope this helps! Brainliest would be appreciated!

Answer:

[tex]p=\frac{c - 215}{5}[/tex]

Step-by-step explanation:

Hello!

Subtract 215 from both sides

Divide both sides by 5

The solution for p is [tex]p=\frac{c - 215}{5}[/tex]

Queremos encontrar la altura de las plantas luego de t años, dado que conocemos la altura inicial y la velocidad de crecimiento.

La ecuación de la altura es:

[tex]h(t) = 0.75*t^2 + 5*t + 12[/tex]

Con ella veremos que los arbustos miden 69cm cuando son vendidos.

Veamos como resolver esto.

h(t) es la función que modela la altura de las plantas.

Sabemos que:

[tex]\frac{dh(t)}{dt} = 1.5*t + 5[/tex]

Sí integramos, obtendremos:

[tex]h(t) = (1/2)*1.5*t^2 + 5*t + c[/tex]

donde C es una constante de integración, la cual representa la altura inicial (para t = 0) de las plantas, notar que:

[tex]h(0) = c[/tex]

Y sabemos que las plantas miden 12 cm cuando son plantadas, entonces c = 12.

La ecuación de la altura es entonces:

[tex]h(t) = 0.75*t^2 + 5*t + 12[/tex]

Esta ecuación nos da la altura en centimetros a tiempo t.

Sabemos que los arbustos se venden luego de 6 años, entonces la altura que tendran cuando son vendidos es:

[tex]h(6) = 0.75*6^2 + 5*6 + 12 = 69[/tex]

Es decir, los arbustos miden 69cm cuando son vendidos.

Sí quieres aprender más, puedes leer.

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