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makvit [3.9K]
3 years ago
15

Help !! No work is needed to be shown

Mathematics
1 answer:
o-na [289]3 years ago
5 0

Step-by-step explanation:

By Law of Indices, a^m / a^n = a^(m-n).

Therefore a² / a⁸ = a^(-6).

x = -6.

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In ΔJKL, k = 9.6 cm, l = 2.7 cm and ∠J=43°. Find ∠L, to the nearest 10th of a degree.
Bogdan [553]

Answer:

L = 10.64°

Step-by-step explanation:

From the given information:

In triangle JKL;

line k = 9.6 cm

line l = 2.7 cm; &

angle J = 43°

we are to find angle L = ???

We can use the sine rule to determine angle L:

i.e

\dfrac{j}{SIn \ J} = \dfrac{l}{ SIn \ L}

Using Pythagoras rule to find j

i,e

j² = k² + l²

j² = 9.6²+ 2.7²

j² = 92.16 + 7.29

j² = 99.45

j = \sqrt{99.45}

j = 9.97

∴

\dfrac{9.97}{Sin \ 43} = \dfrac{2.7}{ Sin \ L}

{9.97 \times    Sin (L ) = (2.7 \times Sin \ 43)

=  Sin \ L = \dfrac{ (2.7 \times Sin \ 43)}{9.97 } \\ \\ =  Sin \ L = \dfrac{ (2.7 \times 0.6819)}{9.97 }  \\ \\  = Sin \ L = 0.18466 \\ \\  L = Sin^{-1} (0.18466) \\ \\  L = 10.64 ^0

3 0
3 years ago
A skate ramp is 4.2 meters long. It rises up 1.7 meters. What’s is the angle of elevation to the nearest tenth of a degree?
Kipish [7]
Θ
=
arcsin
(
.7
4.2
)
≈
10
∘
Explanation:
We view the ramp as a right triangle. The hypotenuse is 4.2 and the vertical side .7, which is opposite the angle
θ
we seek.
sin
θ
=
.7
4.2
=
1
6
I'm going to finish the problem but I'll note if we were actually building the ramp we don't need to know the angle; this sine is sufficient.
θ
=
arcsin
(
1
6
)
θ
≈
10
∘
which I think is a pretty steep ramp for a wheelchair.
There will be another inverse sine that is the supplementary angle, around
170
∘
, but we can rule that out as a value for a ramp wedge angle.
4 0
3 years ago
How are the place value positions to either side of a particular number related
jenyasd209 [6]
I will draw a place value chart on paper than write the numbers
3 0
3 years ago
globe has a diameter of 12 inches. What is the volume of the globe? Use 3.14 for pi. Round your answer to the nearest hundredth
vesna_86 [32]
113.09 because you divide the 12 by two because the rule 

4 0
3 years ago
Read 2 more answers
Prime factorization of 39
Black_prince [1.1K]
Lets quickly run through the prime numbers and see what it is not divisible by

39 is not divisible by 2
39 IS divisible by 3

So lets stop right here.

What is 39 divided by 3? 13 !

And 13 is a prime number too!

So that is all we can do.

So prime factorization of 39 is <u>3 x 13</u><u><em /></u>
4 0
3 years ago
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