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3 years ago

PLEASEEE SOMEONE HELP ME ON THIS!!!! It’s due in a couple hours

Mathematics

2 answers:

labwork [276]3 years ago

8 0

Answer:

Step-by-step explanation:

This to the nearst tenth in decimal

zimovet [89]3 years ago

4 0

Answer:

x = 8.0 m

Step-by-step explanation:

With the angle presented, I'm assuming you know basic trigonometry. We know cosθ = adj/hyp from SOH CAH TOA. We have angle and hypotenuse, so plugging in those values we get cos(20°) = x / 8.5. Solve for x to get 8.5cos(20°) = 7.987387277 m = 8.0 m.

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Prove: cot(x) sec^4(x) = cot(x) +2tan(x) + tan^3(x)

masha68 [24]

$\bf cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}
\qquad\qquad 
sec(\theta)=\cfrac{1}{cos(\theta)}\quad\qquad 1+tan^2(\theta)=sec^2(\theta)\\\\\\
tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)}
\qquad \qquad cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}
\\\\
-------------------------------\\\\
cot(x)sec^4(x)=cot(x)+2tan(x)+tan^3(x)\\\\
-------------------------------\\\\$

$\bf \textit{so, let's do the left-hand-side}\\\\
cot(x)sec^2(x)sec^2(x)\implies cot(x)[1+tan^2(x)][1+tan^2(x)]
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cot(x)[1^2+2tan^2(x)+tan^4(x)]
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cot(x)+2tan^2(x)cot(x)+tan^4(x)cot(x)
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cot(x)+2\cdot \cfrac{sin^2(x)}{cos^2(x)}\cdot \cfrac{cos(x)}{sin(x)}+\cfrac{sin^4(x)}{cos^4(x)}\cdot \cfrac{cos(x)}{sin(x)}
\\\\\\
cot(x)+2\cdot \cfrac{sin(x)}{cos(x)}+\cfrac{sin^3(x)}{cos^3(x)}\implies \boxed{cot(x)+2tan(x)+tan^3(x)}$

8 0

3 years ago

Write an equation that is perpendicular to y=3/5x-1 and passes through the point (9,14)

Leokris [45]

Answer:

y=(-5/3)x+29

Step-by-step explanation:

we will use the base formula y=mx+b

In order to be perpendicular, the slope must be the flipped fraction and have the opposite sign, so our m is (-5/3)

y=(-5/3)x+b

You can plug in the (9,14) point in order to find the b

14=(-5/3)(9)+b

14=(-45/3)+b

14=(-15)+b

14+15=b

29=b

and so altogether our equation is y=(-5/3)x+29

8 0

3 years ago

3x+9y=75<br>8x+5y=67 <br>what is x and y?

slava [35]

There are many ways to solve simultaneous linear equations. One of my favorite for finding integer solutions is graphing. The attached graph shows the solution to be ...

... (x, y) = (4, 7)

_____

You can also use Cramer's Rule, or the Vedic math variation of it, which tells you the solution to

$ax+by=c\\dx+ey=f$

is given by

$x=\dfrac{bf-ec}{\Delta}\\\\y=\dfrac{cd-fa}{\Delta}\qquad\text{where $\Delta=bd-ea$}$

Here, that means

... x = (9·67-5·75)/(9·8-5·3) = 228/57 = 4

... y = (75·8-67·3)/57 = 399/57 = 7

_____

A (graphing) calculator greatly facilitates either of these approaches.

8 0

3 years ago

How would you solve 7 - 3y = 22

nydimaria [60]

7-3y=22 -7 -7 -3y=15 Divide by -3. y=-5

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3 years ago

Read 2 more answers

If a = b, then ac = bc. This is called the ________ ________ of equality. what is it?

aniked [119]

This is called the <u>Multiplication property of equality.</u>

The multiplication property of equality states that whatever you multiply on one side, you must multiply the same quantity on the other side of the equation. In this case, variable c is multiplied to both sides of the equation.

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3 years ago