Answer:
The correct answer is 7.54 foot apart.
Step-by-step explanation:
The height of the Cap San Juan Lighthouse is 45 foot.
The angle of depression of the first boat is given to be 40°.
Distance between the first boat and the lighthouse is cos 40° × 45 = 34.47 foot.
The angle of depression of second boat is given to be 21°.
Distance between the second boat and the lighthouse is cos 21° × 45 = 42.01 foot.
Therefore the boats are 42.01 - 34.47 = 7.54 foot apart from each other.
Answer:
12
Step-by-step explanation:
12
64 and 28 have a GCF of 4, since 64 = 4 x 16, 28 = 4 x 7, and 7 and 16 have no factors other than 1 in common. Knowing that, we can rewrite 64 + 28 as
4 x 16 + 4 x 7
and then use the distributive property to rewrite it again as
4 x (16 + 7)
Let's solve your equation step-by-step.<span><span><span><span>√x</span>+10</span>−9</span>=<span>−7
</span></span><span><span><span>√x</span>+1</span>=<span>−7
</span></span>Step 1: Add -1 to both sides.
<span><span><span><span>√x</span>+1</span>+<span>−1</span></span>=<span><span>−7</span>+<span>−1
</span></span></span><span><span>√x</span>=<span>−8
</span></span>Step 2: Solve Square Root.
<span><span>√x</span>=<span>−8
</span></span><span>x=<span><span>(<span>−8</span>)</span>2</span></span>(Square both sides)
<span>x=64
</span>Check answers. (Plug them in to make sure they work.)
<span>x=64</span>(Doesn't work in original equation)
Answer:
<span>No solutions.</span>
3( 1/2 - y) = 3/5 + 15y
Applying distributive property:
3*1/2 - 3y = 3/5 + 15y
3/2 - 3y = 3/5 + 15y
3/5 is adding on the right, then it will subtract on the left
3y is adding on the left, then it will subtract on the right
3/2 - 3/5 = 15y + 3y
15/10 - 6/10 = 18y
9/10 = 18y
18 is multiplying on the right, then it will divide on the left
9/10*1/18 = y
1/10*1/2 = y
1/20 = y
