All categories

3 years ago

Exercise 41

Mathematics

1 answer:

34kurt3 years ago

7 0

Answer:

514 m = width of the river to the nearest meter

Step-by-step explanation:

You must memorize the definitions of the trig functions and then these types of problems are easy.

You have a right triangle where the 100 m is the adjacent side to the 79° angle. You are looking for the side opposite the 79° angle. So, you need to use the tan function which is defined as opposite side/adjacent side

Let x = the length of the opposite side (width of river)

Tan 79 = x/100

100 tan 79 = x

x = 514 m = width of the river to the nearest meter

You might be interested in

n a cookie recipe, there are 3 parts ugar and 2 parts flour. For every cup of our, how much sugar do you need?

Nina [5.8K]

Answer: For every cup of flour we need 2/3 cups of sugar.

For every cup of sugar you need 3/2 cups of flour.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Help me plz I don't know the choices it could be

Marizza181 [45]

Answer: 544 cm²

Step-by-step explanation:

There are 5 sections to the tent:

Front (triangle): A = $\frac{1}{2}$ · b · h
Back (triangle): same dimensions as Front
Base (rectangle): A = L · w
Left Side (Rectangle): A = L · w
Right side (rectangle): same dimensions as Left Side

Total Surface Area = Front & Back + Base + Sides

= 2[ $\frac{1}{2}$ (12 · 8)] + (12 · 14) + 2(14 · 10)

= 96 + 168 + 280

= 544

7 0

3 years ago

600$ for 3 years at 6% compounded annually?

Alik [6]

Your set up would be A=600e^(.06*3)
Your answer would be 1630.96909708
And if you round it to the nearest 4th decimal it would be
1630.9691

5 0

3 years ago

Read 2 more answers

Getting trained and licensed as a truck driver involves a one-time cost of $450. Gas and insurance end up costing about $2 per m

Anika [276]

The question is an illustration of a system of linear equations.

The system of linear equations is: $y=450 + 2x$ and $y = 350 + 6x$
The solution to the equation is (25,500)

Let the number of miles be x.

Getting trained and licensed

One time cost: $450
Gas and Insurance: $2 per mile

So, the equation is:

$y=450 + 2x$

Delivery

First delivery: $350
Rate: $6 per mile

So, the equation is:

$y = 350 + 6x$

Hence, the system of linear equations is:

$y=450 + 2x$ and $y = 350 + 6x$

To solve the equation, we equate both, as follows:

$450 + 2x = 350 + 6x$

Collect like terms

$6x - 2x = 450 - 350$

$4x = 100$

Divide both sides by 4

$x = 25$

Substitute 25 for x in $y=450 + 2x$

$y = 450 + 2 \times 25$

$y = 450 + 50$

$y = 500$

Hence, the solution to the equation is (25,500)

Read more about linear equations at:

brainly.com/question/14323743

7 0

3 years ago

Kyla applied rm ◦ T0,3 to triangle ABC. What mistakes did she make? Check all that apply.

gavmur [86]

Answer: she applied the reflection to the triangle first

she changed the size of the triangle instead of just applying a translation.

Step-by-step explanation:

7 0

3 years ago