A ration is basically a fraction. It can be written different ways i.e. 2/3 or 2:3. They are both the same thing. There are 5 girls out of 39 students... ratio= 5/39 or 5:39
We use P = i•e^rt for exponential population growth, where P = end population, i = initial population, r = rate, and t = time
P = 2•i = 2•15 = 30, so 30 = 15 [e^(r•1)],
or 30/15 = 2 = e^(r)
ln 2 = ln (e^r)
.693 = r•(ln e), ln e = 1, so r = .693
Now that we have our doubling rate of .693, we can use that r and our t as the 12th hour is t=11, because there are 11 more hours at the end of that first hour
So our initial population is again 15, and P = i•e^rt
P = 15•e^(.693×11) = 15•e^(7.624)
P = 15•2046.94 = 30,704
Answer:
El área del cuadrado es de 3 centímetros cuadrados.
Step-by-step explanation:
Dado que se desea pintar un cuadrado inscrito en una circunferencia de radio R=3cm como se muestra en la figura, para calcular el área del cuadrado se debe realizar el siguiente cálculo:
Radio = diámetro / 2
3 = X/2
X = 6
Hipotenusa del triángulo interno: 6 cm
Aplicando teorema pitagórico: lado al cuadrado mas lado al cuadrado es igual a hipotenusa al cuadrado.
L^2 + L^2 = 6
2L^2 = 6
L^2 = 6/2
L = √ 3
L = 1.732
Área de un cuadrado = L x L = L^2 = 3
Por lo tanto, el área del cuadrado es de 3 centímetros cuadrados.
We know that
<span>to convert feet to inches we must multiply by 12
</span>4. The distance covered by the cook in Triangle A equals
a) fridge and stove-----------> 5*16*12=960 in
b) fridge and sink-------------> 10*22*12=2640 in
c) sink and stove--------------> 15*16*12=2880 in
then add, 960 + 2640 + 2880 = 6480 in
the answer asks for the distance in 18 in lengths
so divide 6480 by 18 -------------> 6480/18=360
the answer part N 4) is 360 eighteen-inch steps
<span>
5. The distance covered by the cook in Triangle B equals
a) fridge and stove-----------> 5*16*12=960 in
b) fridge and sink-------------> 10*16*12=1920 in
c) sink and stove--------------> 15*16*12=2880 in
</span><span>then add, 960 + 1920 + 2880 = 5760 in
</span>
<span>the answer asks for the distance in 18 in lengths
so divide 5760 by 18 -------------> 5760/18=320
</span><span>
the answer part N 5) is 320 </span>eighteen-inch steps
6. The distance covered by the cook in Triangle A equals
a) fridge and stove-----------> 5*15*12=900 in
b) fridge and sink-------------> 10*22*12=2640 in
c) sink and stove--------------> 15*15*12=2700 in
then add, 900 + 2640 + 2700 = 6240 in
the answer asks for the distance in 18 in lengths
so divide 6240 by 18 -------------> 6240/18=346.67------> 347
the answer part N 6) is 347 eighteen-inch steps<span>
</span>
Answer:
x = 97
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use PT to solve for the missing side length.
<u>Step 2: Identify Variables</u>
Leg <em>a</em> = 72
Leg <em>b</em> = 65
Hypotenuse <em>c</em> = <em>x</em>
<em />
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute [PT]: 72² + 65² = x²
- Exponents: 5184 + 4225 = x²
- Add: 9409 = x²
- Isolate <em>x</em>: 97 = x
- Rewrite: x = 97
