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Phoenix [80]
3 years ago
14

Hosea's doctor has recommended that his daily diet should include 4 vegetables, 3 fruits, and 3 whole grains. At the grocery sto

re, Hosea has a choice of 16 vegetables, 11 fruits, and 7 whole grains. In how many ways can he get his daily requirements if he doesn't like to eat 2 servings of the same thing in 1 day
Mathematics
1 answer:
Kay [80]3 years ago
4 0

Answer:

10510500

Step-by-step explanation:

Given :

Recommended daily diet :

Vegetables = 4 ; Fruits = 3 ; Whole grains = 3

Available choices :

Vegetables = 16 ; Fruits = 11 ; While grains = 7

Using the combination relation ; The number of ways in which daily requirement can be gotten is

Vegetable = 16C4

Fruits = 11C3

Whole-grains = 7C3

Recall:

nCr = n! ÷ (n-r)!r!

Using calculator :

16C4 * 11C3 * 7C3

1820 * 165 * 35

= 10510500

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Lime m is neither because it does not have the opposite reciprocal nor same slope.
Line n is perpendicular because it has the opposite reciprocal. 
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7 0
4 years ago
Tienes un triángulo equilátero con lados de 10cm, lo divides en dos partes de manera horizontal tal que el área de ambos figuras
Tanya [424]

Answer:

x = 10/√2 ≈ 7.07

Step-by-step explanation:

Comenzaremos por dividir el triángulo en dos partes y definir H, como en la figura adjunta.

Aplicando el teorema de Tales, sabemos que:

\dfrac{l/2}{H}=\dfrac{x/2}{h}\\\\\\\dfrac{l}{H}=\dfrac{x}{h}

También sabemos que, dado que el tirángulo menor es la mitad que el triángulo mayor, la relación entre áreas es:

\dfrac{A}{A_x}=\dfrac{lH/2}{xh/2}=\dfrac{lH}{xh}=2

Dado que formamos dos triángulos rectángulos, podemos despejar el valor de H como:

(l/2)^2+H^2=l^2\\\\H^2=l^2-(l/2)^2=10^2-5^2=100-25=75\\\\H^2=\sqrt{75}

Podemos entonces despejar x de la siguiente manera:

h=\dfrac{H}{l}\cdot x=\dfrac{lH}{2x}\\\\\\2x^2\dfrac{H}{l}=lH\\\\\\2x^2=l^2\\\\\\x=\dfrac{l}{\sqrt{2}}=\dfrac{10}{\sqrt{2}}\approx7.07

6 0
4 years ago
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it would be triangle D

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Answer: a) x = 5   b) x = 12

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1. x + 3 = 8

2. x + 3 - 3 = 8 -3

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