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fenix001 [56]
1 year ago
14

Express tan F as a fraction in simplest terms

Mathematics
1 answer:
gladu [14]1 year ago
3 0

Answer:

  5/12

Step-by-step explanation:

You want the tangent of angle F in right triangle FGH with sides FG=24, GH=10, and FH=26.

<h3>Tangent</h3>

The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and the sides of a right triangle. The TOA part of this tells you ...

  Tangent = Opposite/Adjacent

<h3>Application</h3>

The side opposite angle F is GH = 10.

The side adjacent to angle F is FG = 24.

Then the tangent is ...

  tan(F) = GH/FG = 10/24

  tan(F) = 5/12 . . . . . reduced to lowest terms

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If you can buy 1⁄4 pizza for 5 dollars, how much can you purchase for 8 dollars? Write your answer as a fraction.
kap26 [50]

Answer:

2/5 pizza

Step-by-step explanation:

If 1/20 is one dollar, you can buy 8/20, that is 2/5 pizza

5 0
3 years ago
A student is studying a population of 100 Daylilies by the roadside. The plants in this population are genetically variable. The
Murljashka [212]

Answer:

broad sense heritability = 0.75

Step-by-step explanation:

Step 1: Variables

phenotypic variation (Vp)

genotype variation (Vg)

environment variation (Ve)

broad sense heritability (H)

Step 2: Formulas:

H = Vg / Vp

Vp = Vg + Ve

Vg = Vp - Ve

Step 3: Given data

Vp = 20

Ve = 5

Step 4: Computation

Vg = 20 - 5 = 15

H = 15 / 20

H = 0.75

Hope this helps!

5 0
3 years ago
F(x)=2(x-3)(x-2)(x+1)
seropon [69]

Answer:

2x^3-8x^2+8x+12

Step-by-step explanation:

split them up

use distributive property

2x-6(x-2)

2x^2-4x-6x+12(x+1)

use distributive property again

2x^3+2x^2-4x^2-4x-6x^2-6x+12x+12

simplify

2x^3-8x^2+8x+12

I forgot if you can divide it by 2 or not to simplify it even more. If you can, divide it by 2. I forgot the rules

If you divide it by 2, then the answer is

x^3-4x^2+4x+6

6 0
3 years ago
Please please help!!
Olenka [21]

Answer:

The formula T= 10d +20

A) what does each term on the right side of the equation represent?

  • 10d⇒ 10 degrees increase per 1 km and 20 deg surface temperature

B) Estimate the depth where the temperature is 60 degrees C.

  • 60=10d+20
  • 10d=40
  • d=4 km

C) What is the approximate temperature at a depth of 4km?

  • T=10*4+20
  • T=60 deg
4 0
3 years ago
If a car has traveled 171 miles in 3 hours at a steady pace, how far has it traveled each hour?
san4es73 [151]

Answer:

B: 57 mph=57 mph

Step-by-step explanation:

A steady pace means constant speed  that it does not change over a period of time and direction of motion. A simple formula, for this case (constant speed)

v= \frac{x - xo}{t -to}

where x is distance and t time. The subtract is final value minus initial value

We have the distance and time, then

v= \frac{171 miles}{3 hours}  = 57 mph

7 0
3 years ago
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