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3 years ago

Trig questions above solve for x and round to the nearest tenth

Mathematics

1 answer:

Alik [6]3 years ago

7 0

Answer:

x= 51.3

x=35.1

Step-by-step explanation:

10.)

For this one we have the adjacent side and the hypotonouse

Which means we'll use CAH

cos(x)=25/40

x= 51.31781255

(assuming that we have to round to the nearest tenth again)

x=51.3

12.)

For this one we have the adjacent and hyptonouse

we'll use CAH again

cos(x)=27/33

x= 35.09680123

x=35.1

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A car is driving northwest at vv mph across a sloping plain whose height, in feet above sea level, at a point nn miles north and

solong [7]

<span>Northwest is 45 degrees north of west. If a car travels a distance x miles northwest, its northerly component gains x/sqrt(2) miles and its easterly component LOSES xsqrt(2)/ miles.

Resultant height is h = 4500 + 100x/sqrt(2) - 75x/sqrt(2) = [25/sqrt(2)]x + 4500
dh/dt = [25/sqrt(2)]dx/dt = [25/sqrt(2)]v </span>

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3 years ago

Find the function value. tan495°

inysia [295]

Answer: -1

Step-by-step explanation:

You want to find an angle that is coterminal to 495. So, subtract 360 degrees until youre in the range of 0-360. I got 495 - 360 = 135°

Tangent is equal to $\frac{sin(theta)}{cos(theta)}$ , we already solved theta which was 135°

This next part is hard to explain to someone who doesnt know their trig circle, idk if you do. The angle 135 is apart of the pi/4 gang. So we know this is going to be some variant of √2/2. Sine of quadrant 1 and 2 is gonna be positive:

$sin135=\frac{\sqrt{2} }{2}$

Now lets do cosine of 135°, which again is apart of the pi/4 gang because its divisible by 45°. Its in quadrant 2 so the cosine will be negative.

$cos135=-\frac{\sqrt{2} }{2}$

The final step is to divide them. They are both fractions so you should multiply by the reciprocal.

$\frac{\sqrt{2} }{2} *-\frac{2}{\sqrt{2} } =-\frac{2\sqrt{2} }{2\sqrt{2} } =-1$

7 0

3 years ago

Read 2 more answers

Teresa ran for president of the chess club, she received 76 votes . There were 95 members in the club . What percentage of the c

kumpel [21]

76out t of 95 is 80%. 76/95=.8

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2 years ago

What is the missing reason in Step 7? Triangle angle sum theorem quadrilateral angle sum theorem definition of complementary con

Daniel [21]

Answer:

Hello your question is incomplete attached below is the complete question

Given: wxyz is a parallelogram, zx ≅ wy prove: wxyz is a rectangle what is the missing reason in step 7? a. triangle angle sum theorem. b. quadrilateral angle sum theorem. c. definition of complementary. d. consecutive ∠s in a ▱ are supplementary. 1. wxyz is a ▱; zx ≅ wy 1. given 2. zy ≅ wx 2. opp. sides of ▱ are ≅ 3. yx ≅ yx 3. reflexive 4. △zyx ≅ △wxy 4. sss ≅ thm. 5. ∠zyx ≅ ∠wxy 5. cpctc 6. m∠zyx ≅ m∠wxy 6. def. of ≅ 7. m∠zyx + m∠wxy = 180° 7. ? 8. m∠zyx + m∠zyx = 180° 8. substitution 9. 2(m∠zyx) = 180° 9. simplification 10. m∠zyx = 90° 10. div. prop. of equality 11. wxyz is a rectangle 11. rectangle ∠ thm.

answer: consecutive angles of any parallelogram are supplementary

Step-by-step explanation:

The missing reason in step 7 is : consecutive angles of any parallelogram are supplementary i.e. m∠ZYX + m∠WXY = 180°

<u>Reason </u>: ZY || WX also XY is the transversal line hence ∠wyx and ∠wxy are the consecutive angles on lines ZY and WX therefore m∠ZYX + m∠WXY = 180° ( sum of consecutive angles )

4 0

3 years ago

Read 2 more answers

Can you help me is monomials

Novay_Z [31]

Section 2.4

-------------------------------------------------

8x^2y : 2x : 2y = 2x

This is because 8x^2y divided over 2x leads to 4xy. Dividing 4xy over 2y leads to 2x.

-------------------------------------------------

15x^6y^3 : 5y^2x^3 = 3x^3y

Note how 15 divided by 5 is 3

Also, x^6 divided by x^3 is x^3. You subtract the exponents.

Similarly, y^3 divided by y^2 is y^1 = y.

-------------------------------------------------

16y^5x^3z : -4zyx = -4y^4x^2

Divide the coefficients to get 16/(-4) = -4

The y terms divide to (y^5)/(y) = y^4. Subtract the exponents.

The x and z terms are handled the same way.

--------------------------------------------------

-8x^2 : 2x = -4x

We follow the same steps as before. This time -8/2 = -4 is the new coefficient. The x terms divide to (x^2)/x = x where x is nonzero.

---------------------------------------------------

-6xz : -2zx = 3

The coefficients divide to (-6)/(-2) = 3

The x and z terms cancel out when we divide them.

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3y^2x : xy^2 = 3

The y^2x expression is the same as xy^2, so when we divide these terms they cancel.

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3 years ago