Ask question

Ask question

All categories

2 years ago

13

A 10 foot ladder is leaning against a building. It forms a 30 degree angle with the ground. How far away from the building is th

e foot of the ladder? Round your answer to the nearest hundredth. 5 feet, 5.77 feet, 8.66 feet, or 20 feet

1 answer:

anastassius [24]2 years ago

5 0

x = 8.66 ft

Step-by-step explanation:

cos 30 = adj/hyp = x/10

---> x = (10 ft)cos30

= 8.66 ft

You might be interested in

How much wrapping paper did he use ,in square inches

Paul [167]

Answer:

96.76 square inches

Step-by-step explanation:

5.2x5.2=27.04

6.7x5.2/2=17.42

17.42x4=69.68

69.68+27.04=96.76

Hope this helps <3 Comment if you want more thanks and be sure to give brainliest (4 left) <3

6 0

2 years ago

Ive never did anything like this before, Can someone help?

FromTheMoon [43]

Answer:

A

Step-by-step explanation:

SA = πr² + πrs

r = 4.42

s = 2.61

SA = π(4.42)² + π(4.42)(2.61)

SA = 19.5364π + 11.5362π

SA = 61.34 + 36.22

SA = 97.56

The closest answer would be A.

Best of Luck!

7 0

3 years ago

Read 2 more answers

Let a, b, c, and d be real numbers with a, c 6= 0. Prove that the lines y = ax+b and y = cx + d have the same x-intercept if and

Monica [59]

Step-by-step explanation:

We have got the lines :

$y=ax+b\\y=cx+d$

Both lines intercept the x-axis in the point :

$I = (i_{1} ,i_{2})$

In all point from x-axis the y-component is equal to 0.

$I=(i_{1},o)$

We replace the I point in the lines equations:

$0=a(i_{1})+b \\0=c(i_{1})+d$

From the first equation :

$0=a(i_{1})+b \\-b=a(i_{1})\\i_{1}=\frac{-b}{a}$

From the second equation :

$0=c(i_{1})+d\\ -d=c(i_{1})\\i_{1}=\frac{-d}{c}$

Then $i_{1}=i_{1}$

Finally :

$\frac{-b}{a}=\frac{-d}{c} \\\frac{b}{a}=\frac{d}{c} \\ad=bc$

y = ax + b and y = cx + d have the same x-intercept ⇔ad=bc

8 0

2 years ago

Write an equation in slope-intercept form of the line that passes through (-1, 4) and (0, 2).

arsen [322]

Answer:

$y=-2x+2$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

<u>1) Determine the slope</u>

$m=\frac{y_2-y_1}{x_2-x_1}$ where the two given points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given points (-1, 4) and (0, 2)

$=\frac{2-4}{0-(-1)}\\=\frac{-2}{0+1}\\=\frac{-2}{1}\\= -2$

Therefore, the slope of the line is -2. Plug this into $y=mx+b$ :

$y=-2x+b$

<u>2) Determine the y-intercept</u>

$y=-2x+b$

Recall that the y-intercept is the value of y when the line crosses the y-axis, meaning that the y-intercept occurs when x is equal to 0.

One of the given points is (0,2). Notice how y=2 when x=0. Therefore, the y-intercept of the line is 2.

Plug this back into the equation:

$y=-2x+2$

I hope this helps!

6 0

3 years ago

Change 2 hours and 36 mins to a mixed number

defon

You know you have two hours which will be the whole number. Then you take 36min and put it over 60min (total number of min in an hour) and you simplify by 6 to get 6/10 which can be simplified again to 3/5 so your final mixed number is
2 and 3/5 hours

5 0

3 years ago