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FinnZ [79.3K]
3 years ago
5

Which problem is best modeled by the expression. 7 ÷ 1/4?

Mathematics
1 answer:
AnnyKZ [126]3 years ago
4 0
C.mr Lee spent 7 hours giving drums lessons yesterday. iF each lesson lasted 1/4 hour, how many lessons did he give
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xand y are light house. y being 20km due east of x and from a ship due south of x the bearing of y was 055°. what is the distanc
leonid [27]

Answer:

I) |xz| ≈ 28.6 km

II) |yz| ≈ 34.8 km

Step-by-step explanation:

Let's assume that the position of ship due south of x is z (aà pictor representation of the question is attached)

|xy| = 20 km, |xz| = ?, |yz| = ?, θ(y) = 55°

Using Trigonometric ratio - SOHCAHTOA

I) Tan θ = |xz| ÷ |xy| ⇒ Tan 55° = |xz| ÷ 20

|xz| = 20 * Tan 55 = 20 * 1.428

|xz| = 28.56 km

|xz| ≈ <u>28.6 km</u>

<u />

II) Cos θ = |xy| ÷ |yz| ⇒ Cos 55° = 20 ÷ |yz|

|yz| * Cos 55° = 20 ⇒ |yz| = 20 ÷ Cos 55°

|yz| = 20 ÷ 0.574 = 34.84 km

|yz| ≈ <u>34.8 km</u>

4 0
3 years ago
The function f(t) = 3(1 + 0.5)^nt models the weight in pounds of an alligator each year from its birth. Based on the function, w
masha68 [24]
<h2>Hello!</h2>

The answer is: 50% (0.5)

<h2>Why?</h2>

Exponential growth equations are use to predict the growth (in function of time) using proportional information.

We can calculate the exponential growth using the following formula:

y=S(1+r)^{t}

Where,

S, is the starting value

r, is the growth rate

t, is the time

So, we are given the function:

f(t) = 3(1 + 0.5)^{nt}

Where,

f(t), is the function,

3, is the starting value (lb)

0.5 (50%) is the growth rate

nt, is the time elapsed.

Hence,

From the given function, we know that the growth rate is equal to 0.5, and it's equal to 50%.

We can turn the growth rate given in real numbers to percent value by multiplying by 100

GrowthRate(Percentage)=0.5*100=50(Percent)

So, the growth rate is 50%.

Have a nice day!

5 0
3 years ago
if your front yard is 65ft by 45ft and your backyard is 35ft by 45ft. how much fencing should you buy
sveta [45]
If 45' is the width of the house, then the front yard would have 65+45+65 feet = 175 feet, and the back yard would have 35 + 45 + 35 = 115 feet.
the total would be 290 feet.


3 0
3 years ago
Is the function linear or nonlinear y=2x^2-4
Maru [420]
The function is nonlinear.
8 0
3 years ago
Read 2 more answers
What is the quadratic sequence answer in 2, 11, 26, 47,74
kap26 [50]
Hello,

1) Verify if it is a 2 degree.

2) y=ax²+bx+c
Calulate a,b,c by Gauss's methode
a=3, b=0,c=-1

y=3x²-1

Download xls
8 0
3 years ago
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