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Ne4ueva [31]
3 years ago
12

Karen and Ricardo are 279 miles apart driving towards each on the same route. Karen drives at a speed of 59 miles per hour and R

icardo drives at a speed of 65 miles per hour. In how many hours will they meet?
Mathematics
1 answer:
Sauron [17]3 years ago
6 0

Step-by-step explanation:

Ok

Had to solve in the comment section because I couldn't find the answer button before. It Just appeared Lol.

You can still check the solution in the first guy's comment section

d=vt will represent the Motion of Both persons

for Karen

d=59t

for Ricardo

d=65t

They're both 279miles away from each other

Meaning

Dk + Dr = 279

59t + 65t = 279

124t=279

t=279/124

t= 2.25hrs.

You can change to seconds if thats how the answer waa presented.

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Trigonometry:
Trava [24]

A. The approximate height of the building is 100 m

B. We can use the arc length formula to obtain an approximation of BC since angle A is small.

A.

The approximate height of the building is 100 m

To find the approximate height of the building, we consider the diagram.

From the diagram, we have that using trigonometry,

tanA = BC/AB

Now

  • A = 0.05 radians,
  • BC = height of building and
  • AB = 2 km = 2000 m
<h3 /><h3>Finding the value of BC</h3>

So, making BC subject of the formua, we have

BC = ABtanA

Substituting the values of the variables into the equation, we have

BC = ABtanA

BC =2000tan0.05

BC = 2000 × 0.05

BC = 100 m

So, the approximate height of the building is 100 m

B.

We can use the arc length formula to obtain an approximation of BC since angle A is small.

<h3 /><h3>Arc Length Formula</h3>

We know that the arc length formula L = rФ where

  • r = radius and
  • Ф = angle in radians
<h3 /><h3>The approximate height</h3>

Now BC = ABtanA

We know that Ф ≅ tanФ when Ф is small.

<h3 /><h3>The comparison</h3>

So, BC = AB × A which is the arc length formula with

  • L = BC,
  • r = AB and
  • Ф = A

So, we can use the arc length formula to obtain an approximation of BC since angle A is small.

Learn more about approximate height of building here:

brainly.com/question/3144976

7 0
2 years ago
Please help this is 95% of my grade<br>​
kipiarov [429]

Answer:

Part 1:

Domain= {2,3,8,9}

Range = {7,9,14}

Part 2: Yes it is not a function

Step-by-step explanation:

Domain is the first number

Range is the second.

Domain= {2,3,8,9}

Range = {7,9,14} ( Notice that 14 is noted twice so just put it as once and this is not part of the answer)

Function: Is any of the domain numbers the same: Answer Yes it's a function.

6 0
2 years ago
Given that f(x)=x^2-7x-1, g(x)=2x-3, and h(x)=4x-5 find each function. (f+g)(x)
Alexxandr [17]

Answer:

x^2-7x-1+2x-3

x^2-5x-4

5 0
3 years ago
What's is 29, 300 in Scientific notation
GenaCL600 [577]
The answer is 2.93*10^4.
5 0
3 years ago
Read 2 more answers
Find the unit rate<br><br> 8 hits in 22 games
Aleksandr [31]

Answer:

0.363636

Step-by-step explanation:

Hits per game is hits / games

= 8 / 22

= 0.363636363

8 0
2 years ago
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