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Lisa [10]
3 years ago
8

A 12 ft ladder is leaning against a wall with an angle of elevation of 31.2 degrees. How high up the wall will the ladder reach?

Round to the nearest tenth and show work..
Mathematics
1 answer:
Tom [10]3 years ago
8 0

Answer:

12/sin90'=b/sin67'

12sin67'=bsin90'

b=12sin67/sin90'

Step-by-step explanation:

sister ,we can use the law of sines. since we have the angle of elevation and assume the wall makes a right  angle with the ground, our angle opposite the ground is 180-[90+23=67

hope this is  helpful for you

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) For which values of x is f '(x) zero? (Enter your answers as a comma-separated list.) x = (No Response) For which values of x
grigory [225]

Answer:

Check below, please

Step-by-step explanation:

Step-by-step explanation:

1.For which values of x is f '(x) zero? (Enter your answers as a comma-separated list.)

When the derivative of a function is equal to zero, then it occurs when we have either a local minimum or a local maximum point. So for our x-coordinates we can say

 f'(x)=0\: at \:x=2, and\: x=-2

2. For which values of x is f '(x) positive?

Whenever we have  

 f'(x)>0

then function is increasing. Since if we could start tracing tangent lines over that graph, those tangent lines would point up.

 f'(x)>0 \:at [-4,-2) \:and\:(2, \infty)

3. For which values of x is f '(x) negative?  

On the other hand, every time the function is decreasing its derivative would be negative. The opposite case of the previous explanation. So

 f'(x)

4.What do these values mean?

 f(x) \:is \:increasing\:when\:f'(x) >0\\\\f(x)\:is\:decreasing\:when f'(x)

5.(b) For which values of x is f ''(x) zero?

In its inflection points, i.e. when the concavity of the curve changes. Since the function was not provided. There's no way to be precise, but roughly

at x=-4 and x=4

6 0
3 years ago
A pecan pie is being served for dessert. One piece of pie has an arc length of 7.85 in. It has been cut into 8 equal pieces. Wha
grin007 [14]

Answer:

The radius of the pie is 6.17 in.

Step-by-step explanation:

The formula for arc length as a function of radius is

s = r·Ф, where Ф is the central angle in radians.

Here we know that the arc length is 7.85 in.  Assuming that the whole pie has been cut into 8 equal pieces, the central angle of one such piece is

2π / 8, or π /4 (radians).

thus, s = r·Ф, solved for r, is r = s/Ф

and in this instance r = (7.85 in)/(π/4).  Evaluating this, we get:

                                 r = 6.17 in

The radius of the pie is 6.17 in.

8 0
3 years ago
Kite WXYZ is graphed on a coordinate plane. What is the approximate perimeter of the kite? Round to the nearest tenth. 10.6 unit
Archy [21]

<u>Answer-</u>

<em>Perimeter of the kite is </em><em>16.2 units</em>

<u>Solution-</u>

As WXYZ is a kite, so two disjoint pairs of consecutive sides are congruent, i.e WX=XY and WZ=ZY

So, perimeter of the kite WXYZ is,

=2(\overline{WX}+\overline{WZ})

And

\overline{WX}=\sqrt{(1-3)^2+(1-4)^2}=\sqrt{(-2)^2+(-3)^2}=\sqrt{4+9}=\sqrt{13}

\overline{WZ}=\sqrt{(1-3)^2+(1+3)^2}=\sqrt{(-2)^2+(4)^2}=\sqrt{4+16}=\sqrt{20}

So, perimeter will be,

P=2(\sqrt{13}+\sqrt{20})=16.15\approx 16.2\ units

4 0
3 years ago
Read 2 more answers
Help................​
guapka [62]

Answer:

6.2 a QR

6.2 b 180

6.3 a By aas axiom

5 0
3 years ago
Is the work shown below correct? Explain your answer.
riadik2000 [5.3K]
(11 + 21) - ( 3 - 100 )
= 32 + 97
= 129

or (11+21)-(3+100)
= 32 - 103
= - 71


I have no idea about your topic but hope it's right! Good luck
8 0
3 years ago
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