Answer:
21.9°
Step-by-step explanation:
In ΔHIJ, the measure of ∠J=90°, HI = 8 feet, and JH = 1.9 feet. Find the measure of ∠H to the nearest tenth of a degree.
We solve this above question using the Sine rule
a/sin A = b/sin B
In ΔHIJ, the measure of ∠J=90°, HI = 8 feet, and JH = 1.9 feet.
Hence:
HI/∠J = JH/∠H
= 8/sin 90° = 1.9/sin ∠H
Cross Multiply
∠H = arc sin(sin 1.9 × 90/8)
∠H = 21.9°
Complementary angles add up to 90 degrees.
Which means.. the equation is
8x-23+7x-7=90
Combine like terms you should get
15x-30=90
Add 30 on both sides
15x=120
Divide 15 x=8
Plug in 8 to (8x-23)
8(8)=64-23=41
m
Answer:
Step-by-step explanation:
The interval notation is (-12, 12).
Answer:
Subtracting 7
Step-by-step explanation:
<u><em>Given:</em></u>
<em>Clara is stacking cups; she put 45 plastic cups in the first stack, 38 plastic cups in the second stack, 31 plastic cups in the third stack, and 24 plastic cups in the fourth stack. </em>
<u><em>To Find:</em></u>
<em>What kind of sequence is this?</em>
<u><em>Solve:</em></u>
<em>Let's make a table:</em>
<em />
<em>[1 stack] 45 </em>
<em>[2 stack] 38</em>
<em>[3 stack] 31</em>
<em>[4 stack] 24</em>
<em />
<em>Now all we have to do is subtract to see what each is:</em>
<em>45 - 38 = 7</em>
<em>38 - 31 = 7</em>
<em>31 - 24 = 7</em>
<em>Thus,</em>
<em>[1 stack] 45 ⇒ 7</em>
<em>[2 stack] 38 ⇒ 7 </em>
<em>[3 stack] 31 ⇒ 7 </em>
<em>[4 stack] 24 ⇒ 7 </em>
<em>Hence, each stack is going down by 7.</em>
<em />
<u><em>Kavinsky</em></u>
<em />
