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navik [9.2K]
3 years ago
8

How would you sketch out this question?? Jamie has a 15-foot aluminum ladder. She wants to place the ladder against the side of

her house so she can change the light bulb in her solar-powered security lights that are 14 feet up the side of the house.

Mathematics
1 answer:
Sladkaya [172]3 years ago
8 0

Answer:\theta =68.96^{\circ}

Step-by-step explanation:

Given

length of ladder L=15\ ft

Height of light from floor h=14\ ft

so Jamie should inclined the ladder at an angle of \theta with the floor

such that \sin \theta =\frac{h}{l}

\Rightarrow \theta =\sin ^{-1}\frac{h}{l}

\Rightarrow \theta =\sin ^{-1}(\frac{14}{15})

\Rightarrow \theta =68.96^{\circ}

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Help geometry what I m jlf <br> Picture provided
Zolol [24]

Answer:

\angle\,JLF = 114^o  which agrees with option"B" of the possible answers listed

Step-by-step explanation:

Notice that in order to solve this problem  (find angle JLF) , we need to find the value of the angle defined by JLG and subtract it from 180^o, since they are supplementary angles. So we focus on such, and start by drawing the radii that connects the center of the circle (point "O") to points G and H, in order to observe the central angles that are given to us as 90^o and 138^o. (see attached image)

We put our efforts into solving the right angle triangle denoted with green borders.

Notice as well, that the triangle JOH that is formed with the two radii and the segment that joins point J to point G, is an isosceles triangle, and therefore the two angles opposite to these equal radius sides, must be equal. We see that angle JOH can be calculated by : 360^o-90^o-138^o=132^o

Therefore, the two equal acute angles in the triangle JOH should add to:

180^o-132^o=48^o resulting then in each small acute angle of measure 24^o.

Now referring to the green sided right angle triangle we can find find angle JLG, using: 180^o-24^o-90^o=66^o

Finally, the requested measure of angle JLF is obtained via: 180^o-66^o=114^o

4 0
3 years ago
Which are the like terms in 2y^3 – 4y^2 + y + y^3?
mash [69]
Like terms are going to have the EXACT same variables....or they can just be constants with no variables.

x^2 and 3x^2 are like terms
x^2 and x^3 are not like terms
8 and 9 are like terms
8x and 9y are not like terms

so ur like terms in ur problem are : 2y^3 and y^3
7 0
3 years ago
Solve for b: 16b = 12
Zina [86]

Answer:

b = 3/4

Step-by-step explanation:

Hi!!!

You want the value of B. To get that, we have to divide both sides by 16:

\frac{16}{16}b =\frac{12}{16}

\frac{12}{16} = \frac{3}{4}

Thus the answer to your question is $\boxed{b = \frac{3}{4} }.

<u>Check:</u>

3/4 * 16 = 3 * 4 = 12.

12 = 12

So we are correct!!!

5 0
3 years ago
Mr. Davis took his car to the repair shop. His total bill was $253. He was charged $48 for parts, and $5 for shop materials.
Serjik [45]

Answer:

33.333333

Step-by-step explanation:

(253-(48+5))/6

(253-53)/6

200/6

33.333333

3 0
2 years ago
Riddle #2
zheka24 [161]

Answer:

28416

Step-by-step explanation:

No digits can be repeated

"All my digits are factors of 24" This means that the possible digits are: 1, 2, 3, 4, 6, 8

"The digits in my thousands place equals the perimeter of a 2x2 array" That would be 8

"The digits in my ten thousand places is twice the value of the digits in the hundreds place, but half the value of the digits in the thousands place" That would be 4, which also means that the ten thousands place is 2

"The digits in my tens place equal the number of lines of symmetry in an isoceles triangle" There is only 1 lines of symmetry

This means that we have 2841(?)

Because this number is even and no digits can be repeated, the only possible digits from those available is 6

Therefore the number is 28416

3 0
3 years ago
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