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Lynna [10]
3 years ago
12

Sin 70°cos 10°-cos 70°sin 10=√3/2

Mathematics
1 answer:
hoa [83]3 years ago
8 0
Let a =70° and b= 10° (and a-b=70-10 =60)
We have the following trigonometric identity:

sin(a-b) = sin(a).cos(b)-sin(b).cos(a) OR:
sin(70-10) = sin70.cos10 - sin10.cos70
But sin(70-10) = sin(60) and we know that sin(60°) =(√3)/2
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Which of the diagrams below represents the contrapositive of the statement "If it is an elm, then it is a tree"?
Murrr4er [49]

Answer:

Right

Step-by-step explanation:

For a contrapositive, we switch the hypothesis and conclusion and then negate it.

Switch

If it is a tree, then it is an elm

Negate

If it is not a tree, then it is not an elm.

Not tree belongs inside not elm

Right


7 0
3 years ago
A road has a scale of 1:50 000 The length of a road on the map is 8.5cm.Work out the length of the real road in kilometres
uranmaximum [27]

The answer is 2.1 Km. Hope this helps!

5 0
3 years ago
When using Cramer's Rule to solve a system of equations, if the determinant of the coefficient matrix equals zero and neither nu
o-na [289]
The answer would be A. When using Cramer's Rule to solve a system of equations, if the determinant of the coefficient matrix equals zero and neither numerator determinant is zero, then the system has infinite solutions. It would be hard finding this answer when we use the Cramer's Rule so instead we use the Gauss Elimination. Considering the equations:

x + y = 3 and <span>2x + 2y = 6
Determinant of the equations are </span>
<span>| 1 1 | </span>
<span>| 2 2 | = 0
</span>
the numerator determinants would be
<span>| 3 1 | . .| 1 3 | </span>
<span>| 6 2 | = | 2 6 | = 0.
Executing Gauss Elimination, any two numbers, whose sum is 3, would satisfy the given system. F</span>or instance (3, 0), <span>(2, 1) and (4, -1). Therefore, it would have infinitely many solutions. </span>
3 0
3 years ago
Jennifer has a taco stand.she found that her daily costs can be modeled by C(x)=x^2-40x+610. if she wants to keep her daily cost
polet [3.4K]
Let's focus on the given equation. The C represents the cost, while the x must be the number of tacos, which is what we're solving for. Since we're given the boundary that C must be 300, then the solution would be:

300 = x² - 40x + 610
x² - 40x + 310 = 0

Apply the quadratic formula where a = 1, b = -40 and c = 310. The roots of x are:
x = 29.49≈30
x = 10.51≈11

<em>Thus, she needs to sell either 30 or 11 tacos.</em>

4 0
3 years ago
Helpp i dont understand
AnnZ [28]
Betina is 155 centimeters tall or 1 meter and 55 centimeters

1 meter = 100 centimeters
100 + 87 = 187 , Brian’s height in centimeters

Since Bonnie is 58 centimeters shorter we will subtract 187-58 which gives us 129 centimeters.

Betina is 26 centimeters taller than Bonnie so we add 26+129 =155

Therefore Betina is 155 centimeters tall or 1 meter and 55 centimeters.

Hope this helped! :)
5 0
3 years ago
Read 2 more answers
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