What are the x-intercepts of this

Solve for x. Round to the nearest tenth if necessary.

timofeeve [1]

Answer: 41.1

Step-by-step explanation:

To find the value of x, we need to use SOH-CAH-TOA. SOH-CAH-TOA is since, cosine, and tangent. The O, A, H stands for opposite, adjacent, and hypotenuse respectively.

Looking at the figure, we see 47°. The labelled angles are adjacent and the hypotenuse. Therefore, we use CAH or cosine.

$cos(47)=\frac{28}{x}$ [multiply both sides by x]

$xcos(47)=28$ [divide both sides by cos(47)]

$x=\frac{28}{cos(47)}$

When we plug that into a calculator, we get x=41.1.

5 0

3 years ago

Read 2 more answers

Joey's strategy for his first marathon (26.2 miles)was to run 2 miles, walk 1 mile, run 2 miles, walk 1 mile, and continue this

lana [24]

<h3>Answer: 275.2 minutes</h3>

========================================================

Explanation:

We have this sequence

(2+1)+(2+1)+(2+1)...

Effectively, we're repeating "2+1" over and over.

We can see that

2+1 = 3
(2+1)+(2+1) = 3+3 = 6
(2+1)+(2+1)+(2+1) = 3+3+3 = 9

Each time we add on another copy of (2+1), we're adding on 3

Dividing 26.2 over 3 gets us (26.2)/3 = 8.733 approximately

If we had 8 copies of (2+1) added together, then we would get

8*(2+1) = 8*3 = 24

This is 26.2-24 = 2.2 miles short of his goal.

He'll need to run 2 more miles, plus walk another 0.2 of a mile

----------------------------------------------------

In summary so far, Joey will run 8+1 = 9 sections (two miles each) and walk 8 sections that are 1 mile each. At the very end, he'll walk 0.2 miles to finish the race. Each running and walking section is alternated of course.

Since he runs 9 sections, each 2 miles, that accounts for 9*2 = 18 miles.

His running pace is 8 minutes per mile, so this means he has run for 8*18 = 144 minutes. This is just the running part and not the walking part.

Let A = 144 so we can use it later.

----------------------------------------------------

He walks 8 sections of 1 mile each. His walking pace is 16 minutes per mile. This must mean he spends 8*16 = 128 minutes on this walking portion.

Then for the last 0.2 mile section he walks, we can solve the proportion below

(1 mile)/(16 min) = (0.2 miles)/(x min)

1/16 = 0.2/x

1*x = 16*0.2

x = 3.2

He spends 3.2 minutes walking the remaining 0.2 of a mile at the end.

So his total walking time is 128+3.2 = 131.2 minutes.

Let B = 131.2

-----------------------------------------------------

To wrap things up, we'll add up the results of each of the previous two sections.

A = total running time = 144 min

B = total walking time = 131.2 min

C = total marathon time

C = A+B

C = 144+131.2

C = 275.2 minutes

This converts to 275 min, 12 sec.

This is also equivalent to 4 hrs, 35 min, 12 sec.

5 0

3 years ago

7.19 divided by 58 estimate the quotients

lozanna [386]

Answer:

0.124

Step-by-step explanation:

$\frac{7.19}{58}$

To divide the numbers, we need to remove the decimal point

To remove decimal point , we multiply top and bottom by 100

$\frac{719}{5800}$

Use long division. After using decimal point at the top we can include any number of zeros with 719

. 1 2 3 9

---------------------

5800 7190

5800

------------------------(subtract)

13900

11600

---------------------------(subtract)

2300 0

1740 0

--------------------------(subtract)

56000

52200

---------------------------(subtract)

3800 0

Division goes on ............

Estimate the quotient to 3 decimal places

Quotient = 0.124

6 0

3 years ago

Can someone help plz

goldfiish [28.3K]

Answer:

Sr i dont know

Step-by-step explanation:

3 0

3 years ago

Help needed pls

Licemer1 [7]

The area of rectangle ABCD can be expressed in simplified form as: 8y^2 - 10y.

<h3>How to Calculate the Area of a Rectangle?</h3>

The area of a rectangle is calculated using:

Area = (length)(height).

We are given the following:

Length of rectangle ABCD = side DC = 4y - 5

Height of rectangle ABCD = side AD = 2y

The area of rectangle ABCD = (length)(height) = (4y - 5)(2y).

Expand the expression

The area of rectangle ABCD = 2y(4y) - 2y(5) [distributive property of multiplication]

The area of rectangle ABCD = 8y^2 - 10y

Thus, the area of rectangle ABCD can be expressed in simplified form as: 8y^2 - 10y.

Learn more about area of rectangle on:

brainly.com/question/25292087

#SPJ1

5 0

2 years ago