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satela [25.4K]
2 years ago
13

Find the missing side of the triangle

Mathematics
1 answer:
Katena32 [7]2 years ago
7 0

\\ \sf\longmapsto sin\theta=\dfrac{Perpendicular}{Hypotenuse}

\\ \sf\longmapsto sin74=\dfrac{n}{40}

\\ \sf\longmapsto n=40sin74

\\ \sf\longmapsto n=35(0.96)

\\ \sf\longmapsto n=38.4

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Point B has coordinates (−4, −2). The x-coordinate of point A is 5. The distance between points A and B is 15 units. What are th
GaryK [48]

~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{5}~,~\stackrel{y_1}{y})\qquad B(\stackrel{x_2}{-4}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{AB}{15}=\sqrt{[-4 - 5]^2 + [-2 - y]^2}\implies 15^2=(-9)^2+(-2-y)^2

225=81+(-2-y)(-2-y)\implies 225=81+\stackrel{F~O~I~L}{(4+4y+y^2)} \\\\\\ 144=4+4y+y^2\implies 0=y^2+4y-140\implies 0=(y-10)(y+14) \\\\\\ y= \begin{cases} 10\\ -14 \end{cases}\qquad \qquad \qquad A(5~~,~~10)\qquad A(5~~,~~-14)

7 0
2 years ago
Rewrite the following without an exponent. 6^-2<br> Please answer ASAP!
julia-pushkina [17]

Answer:

Rewriting 6^{-2} without an exponent we get \mathbf{\frac{1}{36}}

Step-by-step explanation:

We need to rewrite the following without an exponent. 6^{-2}

We need to solve the exponent to find the result.

We know the exponent rule: a^{-b}=\frac{1}{a^b}

Now using this rule to solve the equation:

6^{-2}\\=\frac{1}{6^2}\\We \:know \:that\:6^2 = 6\times 6=36\\=\frac{1}{36}

So, Rewriting 6^{-2} without an exponent we get \mathbf{\frac{1}{36}}

8 0
3 years ago
Please help find the value of t?
Gwar [14]

Step-by-step explanation:

volume=8448m²

volume=l×b×h

=11m×8m×t

=88m²×t

therefore, 88m²×t=8448m²

t= 8448/88

= 96

Check:-

volume= l×b×h

=11m×8m×96

=8448m³

Our answer is correct

4 0
3 years ago
Complete y^2+15y+56=(y+7)(y+?) ...?
Rufina [12.5K]
The two factors of a quadratic equation can be multiplied to form the original equation. Let the missing term be a:
y² + 15y + 56 = (y + 7)(y + a)
y² + 15y + 56 = y² + (7 + a)y + 7a
We can now compare the coefficient of the like terms, either the one with y or the one without y, and find the value of a.
15 = 7 + a; a = 8
OR
56 = 7a; a = 8

Second factor is (y + 8)
5 0
3 years ago
Read 2 more answers
You 495 miles from home and you are driving toward home at an average of 45mph. How long will it take to drive home if you maint
Karo-lina-s [1.5K]
I hope this helps you




Distance=speed.time



495=45.t


t=11
5 0
3 years ago
Read 2 more answers
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