Mathematics, 26.04.2021 21:40 ctuek5990
In ΔIJK, k = 730 inches, j = 700 inches and ∠J=44°. Find all possible values of ∠K, to the nearest degree.
I
J
K
j = 700
k = 730
44°
?°
\frac{\sin A}{a}=\frac{\sin B}{b}
a
sinA
=
b
sinB
From the reference sheet (reciprocal version).
\frac{\sin K}{730}=\frac{\sin 44}{700}
730
sinK
=
700
sin44
Plug in values.
\sin K=\frac{730\sin 44}{700}\approx 0.7244294
sinK=
700
730sin44
≈0.7244294
Evaluate.
K=\sin^{-1}(0.7244294)\approx 46.42\approx 46^{\circ}
K=sin
−1
(0.7244294)≈46.42≈46
∘
Inverse sine and round.
\text{Quadrant II: } 180-46=134^{\circ}
Quadrant II: 180−46=134
∘
Sine is positive in quadrants 1 and 2.
\text{Check for possibility:}
Check for possibility:
No triangle's angles may add to more than 180.
44+46=90^{\circ}\leftarrow \text{Possible}
44+46=90
∘
←Possible
Less than 180.
44+134=178^{\circ}\leftarrow \text{Possible}
44+134=178
∘
←Possible
Less than 180.
\text{ }46^{\circ}\text{ and } 134^{\circ}
!!!
46
and 134
!!!
yw-Delta math
Answers: 1
Mathematics, 21.06.2019 17:30
Mickey needs to cut pieces of ribbon that are each 1 meter long tie onto balloons. if he has 8 pieces of ribbon that are each 1 dekameter long. how many 1 meter pieces of ribbon can he cut
Answers: 1
Mathematics, 22.06.2019 01:00
The dance committee of pine bluff middle school earns $72 from a bake sale and will earn $4 for each ticket they sell to the spring fling dance. the dance will cost $400 write an inequality to determine the number, t of tickets the committee could sell to have money left over after they pay for this year's dance. what is the solution set of the inequality?
Answers: 2
Mathematics, 22.06.2019 01:10
A3cm×3cm\greend{3\,\text{cm} \times 3\,\text{cm}} 3cm×3cm start color greend, 3, space, c, m, times, 3, space, c, m, end color greend rectangle sits inside a circle with radius of 4cm\blued{4\,\text{cm}} 4cm start color blued, 4, space, c, m, end color blued . what is the area of the shaded region? round your final answer to the nearest hundredth.
Answers: 3
Mathematics, 22.06.2019 05:20
These dots plots show the height (in feet) from a sample of the different types of elephants
Answers: 3
In ΔIJK, k = 730 inches, j = 700 inches and ∠J=44°. Find all possible values of ∠K, to the nearest d...
Mathematics, 18.03.2021 19:40
Mathematics, 18.03.2021 19:40
Biology, 18.03.2021 19:40
Mathematics, 18.03.2021 19:40
Mathematics, 18.03.2021 19:40
Mathematics, 18.03.2021 19:40
Computers and Technology, 18.03.2021 19:40
Mathematics, 18.03.2021 19:40
Computers and Technology, 18.03.2021 19:40
Mathematics, 18.03.2021 19:40
Biology, 18.03.2021 19:40
Mathematics, 18.03.2021 19:40