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Nat2105 [25]
3 years ago
6

Cos10+cos80/sin10+sin80=1

Mathematics
1 answer:
eduard3 years ago
7 0
Evaluate <span><span>cos<span>(10)</span></span><span>cos10</span></span> to get <span>0.984807750.98480775</span>.<span><span><span>0.98480775<span>cos<span>(80)</span></span></span><span><span>−<span>sin<span>(10)</span></span></span><span>sin<span>(80)</span></span></span></span><span><span>0.98480775⁢<span>cos80</span></span><span><span>-⁢<span>sin10</span></span>⁢<span>sin80</span></span></span></span>Evaluate <span><span>cos<span>(80)</span></span><span>cos80</span></span> to get <span>0.173648170.17364817</span>.<span><span><span>0.98480775⋅0.17364817</span><span><span>−<span>sin<span>(10)</span></span></span><span>sin<span>(80)</span></span></span></span><span><span>0.98480775⋅0.17364817</span><span><span>-⁢<span>sin10</span></span>⁢<span>sin80</span></span></span></span>Multiply <span>0.984807750.98480775</span> by <span>0.173648170.17364817</span> to get <span>0.171010070.17101007</span>.<span><span>0.17101007<span><span>−<span>sin<span>(10)</span></span></span><span>sin<span>(80)</span></span></span></span><span>0.17101007<span><span>-⁢<span>sin10</span></span>⁢<span>sin80</span></span></span></span>Evaluate <span><span>sin<span>(10)</span></span><span>sin10</span></span> to get <span>0.173648170.17364817</span>.<span><span>0.17101007<span><span><span>−1</span>⋅0.17364817</span><span>sin<span>(80)</span></span></span></span><span>0.17101007<span><span><span>-1</span>⋅0.17364817</span>⁢<span>sin80</span></span></span></span>Multiply <span><span>−1</span><span>-1</span></span> by <span>0.173648170.17364817</span> to get <span><span>−0.17364817</span><span>-0.17364817</span></span>.<span><span>0.17101007<span><span>−0.17364817</span><span>sin<span>(80)</span></span></span></span><span>0.17101007<span><span>-0.17364817</span>⁢<span>sin80</span></span></span></span>Evaluate <span><span>sin<span>(80)</span></span><span>sin80</span></span> to get <span>0.984807750.98480775</span>.<span><span>0.17101007<span><span>−0.17364817</span>⋅0.98480775</span></span><span>0.17101007<span><span>-0.17364817</span>⋅0.98480775</span></span></span>Multiply <span><span>−0.17364817</span><span>-0.17364817</span></span> by <span>0.984807750.98480775</span> to get <span><span>−0.17101007</span><span>-0.17101007</span></span>.<span><span>0.17101007<span>−0.17101007</span></span><span>0.17101007<span>-0.17101007</span></span></span>Subtract <span>0.171010070.17101007</span> from <span>0.171010070.17101007</span> to get <span>0</span>.0
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The equation 24x2+25x−47ax−2=−8x−3−53ax−2 is true for all values of x≠2a, where a is a constant.
Yuki888 [10]

ANSWER EXPLANATION: There are two ways to solve this question. The faster way is to multiply each side of the given equation by ax−2 (so you can get rid of the fraction). When you multiply each side by ax−2, you should have:

24x2+25x−47=(−8x−3)(ax−2)−53

You should then multiply (−8x−3) and (ax−2) using FOIL.

24x2+25x−47=−8ax2−3ax+16x+6−53

Then, reduce on the right side of the equation

24x2+25x−47=−8ax2−3ax+16x−47

Since the coefficients of the x2-term have to be equal on both sides of the equation, −8a=24, or a=−3.

The other option which is longer and more tedious is to attempt to plug in all of the answer choices for a and see which answer choice makes both sides of the equation equal.

The answer is B

6 0
3 years ago
Reading box plots
Nitella [24]

Answer: The answer is 4

Step-by-step explanation:

You have the numbers 3.5, 4, 4.5, 5, 5.5, 6, 6.5, 7, 7.5. Then you subtract 7.5 with 3.5 then you get 4. :D

8 0
3 years ago
Solve for w in the equation: 0.4w + 2.45 = 8.75
ASHA 777 [7]

Answer:

w= 15.75 or 15 3/4

Step-by-step explanation:

So I would multiply 100 on both sides to get rid of the decimals so I’d end up with 40w+245=875

Now solve it by subtracting 245 on both sides.

40w=630

now divided 40 on both sides

15 3/4

Final answer 15 3/4 or 15.75

3 0
3 years ago
rectangular stage that is 9 feet wide has an area of 252 square feet. What is the perimeter of the stage?
ioda
Hi there!

First, we need to find the length of the stage. We can do this by plugging in our known values and solving for the unknown value.

WORK:
252 = 9 x l
l = 28

Next, we know that there are two lengths and two widths total. So all we need to do is to add two lengths plus to widths to find the perimeter.

WORK:
2(28) + 2(9) = P
56 + 18 = P
P = 74 feet^2

Hope this helps!! :)
3 0
3 years ago
9-3÷ 1/3 + 1= plz answer correctly because i can get grounded and I will give brainliest and give 20 points
fgiga [73]
The answer should be 1
6 0
3 years ago
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