A surveyor leaves her base camp and drives 42km on a bearing of 32 degrees. She then drives 25km on a bearing of 154 degrees. Ho

Answer:

(a) What will his age be after 5 years?

"5 + y" years old

(b) What was his age 6 years ago?

"y - 6" years old

(c) If his grandfather’s age is five times his, how old is his grandfather?

"5y" years old

(d) His father is 6 years older than three times his age. How old is his father?

"6 + 3y" years old

Note: Disregard the quotation marks, ""

The maximum area that can be enclosed is 64 ft². To achieve the largest area while minimizing the perimeter, the dimensions should be as equal as possible. Allocating 32 feet of fencing for four sides gives us 8 feet per side, resulting in a square with a side length of 8; thus, the area equals 8*8 = 64.

We understand that

1 foot corresponds to 12 inches.

Step 1

Dimensions of the plywood needed are

(12+3+3) x (18+3+3)------> 18 inches x 24 inches.

Step 2

Convert inches into feet:

18 in-------> 18/12=1.5 ft.

24 in------> 24/12=2 ft.

Step 3

To calculate the area of plywood needed:

A=b*h------> 1.5*2------> A=3 ft².

The final result is

3 ft²

Answer:

B ≤ 11 bags

Step-by-step explanation:

Alonso starts with $21. After purchasing eggs for $2.50, he has $21 - $2.50 left = $18.50

Thus, the remaining money for avocados is $18.50.

Each 3 bags of avocados cost $5, making the price for 1 bag $(5/3)

Consequently, if B represents the quantity of avocado bags purchased by Alonso, it could be expressed as:

B ≤ $18.50 ÷ $(5/3)

B ≤ 11.1

B ≤ 11

B ≤ 11 bags

Respuesta:

la cantidad de elemento restante después de 14 minutos = 7.091 g =~ 10 g

Explicación paso a paso:

Después de cada minuto, la cantidad que queda será

(100 - 26.9) % es decir, 73.1 %

lo que equivale a 0.731 veces la cantidad inicial.

Si el tiempo transcurrido se representa como t, la función f(t) indica la masa del elemento restante, nuestra ecuación será

f(t) = 570(0.731) ^ t

t= 14 minutos

f(14) = 570 (0.731) ^ 14

= 7.091 g =~ 10 g