find the measure of the indicated angle to the nearest degree​

Find The Measure Of The Indicated Angle To The Nearest Degree

Answers

Answer 1

[tex]\boxed{\sf sin\Theta=\dfrac{P}{H}}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{16}{26}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{8}{13}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=0.5[/tex]

Convert to p/q form

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{5}{10}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{1}{2}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=sin30[/tex]

[tex]\\ \sf\longmapsto \Theta\approx30°[/tex]


Related Questions

which expression is equivalent to 10 a+ 3b -2a+b

Answers

Answer:

Step-by-step explanation:

Simplify like terms.

10a-2a+3b+b = 8a+4b

Answer:

8a +4b

4(2a+b)

Step-by-step explanation:

10 a+ 3b -2a+b

Combine like terms

10a-2a   +3b+b

8a +4b

We can factor out 4

4(2a+b)

What is 200% of 20? Thanks!

Answers

Answer:

40

Step-by-step explanation:

200% of 20 = 200 • 0.20 = 40

Answer:

40

Step-by-step explanation:

200% x 20

200/100 x 20

(200 ÷ 100) x 20

200 x 20 ÷ 100

4,000 ÷ 100 = 40

How many solutions exist for the mixed-degree system graphed below?

Answers

The answer is one solution. Hope this helps

Answer:

The answer is one.

PLS HELP ME ASAP!!!!

Answers

The y row changes by 3 each spot. The x row changed by 4 each spot. So the slope is 3/4x.

58×62 without actual multiplication​

Answers

Answer:

3596

Step-by-step explanation:

Use long multiplication to evaluate.

Answer:

3596

Step-by-step explanation:

(58*10) = 580

580*6 = 3480

58 * 2 = 116

3480 + 116 = 3596

(4,-5) with slope of 2

Answers

that's a point slope form so

y +5 = 2(x -4)

The data show the chest size and weight of several bears. Find the regression​ equation, letting chest size be the independent​ (x) variable. Then find the best predicted weight of a bear with a chest size of 40 inches. Is the result close to the actual weight of 372 ​pounds? Use a significance level of 0.05.

Answers

Answer:

y = 16.3216X - 330.3904

322 pounds;

Result is significant

Step-by-step explanation:

Given the data:

Chest size, x : 41,54,44,55,39,51

Weight, Y : 328,528,418,580,296,503

Using technology, the prediction model obtained by fitting the data is :

y = 16.3216X - 330.3904

Where, x = chest size ; y = weight

The best predicted weight of a bear with chest size of 40 is

Put x = 40 in the equation :

y = 16.3216(40) - 330.3904

Y = 322.4736

Y = 322 pounds

At α = 0.05

The regression Coefficient, R value obtained is 0.986 ; using this to obtain the Pvalue ;

df = n - 1

Pvalue(0.986, 5) = 0.00198

Since, Pvalue < α ; result is significant at α = 0.05

A 10-foot ladder rests against a vertical wall. Let x be the distance from the bottom of the ladder to the wall and y be the distance from the floor to the top of the ladder. If the bottom of the ladder slides away from the wall, how fast does the top of the ladder fall down the wall with respect to x

Answers

Answer:

The rate of change of the top of the ladder with respect to x is -x/y

Step-by-step explanation:

The given parameters are;

The length of the ladder = 10 ft.

The horizontal distance of the bottom of the ladder from the wall = x

The distance of the top of the ladder from the floor = y

By Pythagoras's theorem, we have;

10 = y² + x²

Therefore, we have;

x² = 10 - y²

d(x²)/dx = 2·x =  d(10 - y²)/dx = -2·y·dy/dx

∴ 2·x = -2·y·dy/dx

dy/dx = 2·x/(-2·y) = -x/y

Therefore, the rate of change of the top of the ladder with respect to x, dy/dx = -x/y.

Determine the equation of a perpendicular line to x=-2

Answers

Answer:

+1/2

Step-by-step explanation:

its the negative reciprocal

Find the volume of each figure. Round your answers to the nearest tenth, if necessary.​

Answers

Answer:

201.1 km^3

Step-by-step explanation:

The volume of a cylinder is V=πr2h. In this problem, our radius is 8, and our heigh is 4. Plugging in our values we get:

V=π(8)(2)(4)=64π, which is approximately 201.1.

Hope this helped,

~cloud

Answer:

804.2 km^3

Step-by-step explanation:

Volume of cylinder = πr^2h

π(8)^2(4)

= 804.247719319

Rounded of to nearest 10th = 804.2 km^3

Answered by G a u t h m a t h

Can someone help with number 4 please? Due in 15 mins!!

Answers

Answer:

A. AG = 2 × GD

F. GE = (1/2) × BG

Step-by-step explanation:

The given point G on triangle ΔABC, which is the point of intersection of the medians of the triangle, is the centroid of the triangle

The centroid divides each median line in the ratio 2:1, therefore, we have;

The length of AG = 2 × GD, CG = 2 × GF, and BG = 2 × GE

∴ GE = (1/2) × BG

Therefore, the correct options are;

A. AG = 2 × GD, and F. GE = (1/2) × BG

Evaluate the expression when a=-6.
a^2 + 5a - 5

Answers

Answer:

61

Step-by-step explanation:

(6)^2+5(6)-5

=36+30-5

=61

Answer:

1

Step-by-step explanation:

[tex]( - 6) {}^{2} + 5 \times - 6 - 5 \\ 36 - 30 - 5 \\ 36 - 35 \\ = 1[/tex]

1. Write three different solutions of 4x - 2y = 8.​ plzz answer fast

Answers

Answer:

y=-4+2x

x=(4+y)/2

2x-y=4

i)x=1
4(1)-2y=8
-2y=8-4
-2y=4
y=-2

ii)x=2
4(2)-2y=8
8-2y=8
y=0

iii)x=3
4(3)-2y=8
12-2y=8
2y=12-8
2y=4
y=2

Hope it helps!

A student correctly evaluated an expression with P = -2 and a = 3 and got 3 as the result. Which of the following expressions could she have been evaluating

Answers

Answer:

B

Step-by-step explanation:

A student correctly evaluated an expression where p = -2 and q = 3 and acquired 3 as the result.

And we want to determine which expression could the student have been evaluating.

Thus, we simply need to check each expression by letting p = -2 and q = 3 and see which one equals 3.

Checking the first one:

[tex]\displaystyle \begin{aligned} 3p^2 +2pq - 6q +2 &= 3(-2)^2+2(-2)(3)-6(3) + 2\\ &= (12)+(-12) +(-18) + 2 \\ &=-16\end{aligned}[/tex]

The result is not 3. Hence, A is not correct.

The second expression:

[tex]\displaystyle \begin{aligned} p^3 + 2p^2q-p^2+2pq+q &= (-2)^3+2(-2)^2(3)-(-2)^2+2(-2)(3)+(3)\\ &= (-8)+(24)-(4)+(-12)+(3) \\ &= 3\stackrel{\checkmark}{=}3\end{aligned}[/tex]

Therefore, we can conclude that our answer is B.

We can check the other two regardless.

The third expression:

[tex]\begin{aligned} p^2+q-4q^2 &= (-2)^2 + (3) - 4(3)^2 \\ &= (4) + (3) -(36) \\ &= -29\end{aligned}[/tex]

And the fourth:

[tex]\displaystyle \begin{aligned} p^2+3q^2-q^2+p &= (-2)^2+3(3)^2-(3)^2+(-2) \\ &= (4) + (27) - (9) + (-2) \\ &= 20\end{aligned}[/tex]

Thus, neither the third expression nor the fourth is also correct.

In conclusion, our answer is B.

Find 3rd and 5th form by using nth term formula tn=a+(n-1)d when tn=a+(n-1)d when a=2 and d=3.​

Answers

Answer:

t3 = 8, t5 = 14

Step-by-step explanation:

t3 = 2 + (3-1) × 3

t3 = 2 + (2) × 3

t3 = 2 + 6

t3 = 8

t5 = 2 + (5-1) × 3

t5 = 2 + (4) × 3

t5 = 2 + 12

t5 = 14

15) The sum of one-fourth, one-ninth and one- third of a number is 25. Find the number.​

Answers

Answer:

Step-by-step explanation:

(1/4 + 1/9 + 1/3)x = 25.

x = 36

Answer:

Let the number be x

(1/4 + 1/9 + 1/3) * x = 25

25/36 * x = 25

25x = 25*36

x = 25*36/25

x = 36

Step-by-step explanation:

find k so that x^2+2x+k is a factor of 2x^4+x^3-14x^2+5x+6. also find all the zeroes of the two polynomial​

Answers

Compute the quotient and remainder,

[tex]\dfrac{2x^4+x^3-14x^2+5x+6}{x^2+2x+k} \\\\ = 2x^2 - 3x - (8+2k) + \dfrac{(21+7k)x+(6+8k+2k^2)}{x^2+2x+k}[/tex]

The remainder upon dividing [tex]2x^4+x^3-14x^2+5x+6[/tex] by [tex]x^2+2x+k[/tex] should leave no remainder, which means

[tex]21+7k = 0 \implies 21 = -7k \implies k=-3[/tex]

and

[tex]6+8k+2k^2 = 0 \implies 2(k+3)(k+1)=0 \implies k=-3\text{ or }k=-1[/tex]

Only k = -3 makes both remainder terms vanish.

Then the previous result reduces to

[tex]\dfrac{2x^4+x^3-14x^2+5x+6}{x^2+2x-3} = 2x^2 - 3x - 2[/tex]

so that

[tex]2x^4+x^3-14x^2+5x+6 = (x^2+2x-3) (2x^2 - 3x - 2) \\\\ 2x^4+x^3-14x^2+5x+6 = (x+3)(x-1)(2x + 1)(x-2)[/tex]

and so the zeroes of the quartic polynomial are x = -3, x = 1, x = -1/2, and x = 2.

Create an equation in slope-intercept form for the line that passes through (3, 6) and (6, 10).

Answers

Answer: y = 4/3x + 2

Step-by-step explanation:

Use the slope form of y2 - y1/ x2 - x1 and substitute in the values from the coordinates. In this case, it would be 10-6/6-3, which gives you 4/3. Thus, that would be the slope(m). Then take a pair of coordinates (x,y) and substitute in the equation y = mx + b.

If you take the first coordinate (3,6): 6 = 3(4/3) + b

                                                                6 = 4 + b

                                                                    b = 2

If you take the second coordinate (6, 10) : 10 = 6(4/3) + b

                                                                         10 = 8 + b

                                                                              b = 2

Then, substitute m and b into the equation (y = mx + b) to get your answer.

Find the value of y. Round
the nearest tenth.

Answers

Answer: 178.3

Step-by-step explanation:

Use cos to find the value of x: cos(27)=350/x

You will find x = 392.81

Using this value, find sin(27):  Sin(27)=y/392.81

You will find y=178.33

Rounding to the nearest tenth, you get 178.3

Una empresa que trabaja en un mercado de competencia perfecta tiene una función de costos totales CT=Q^3-45Q^2+600Q+1.200 Las funciones de oferta y demanda de este mercado son: Qo=5P-300 y Qd=2.860-8P. Recuerde que la condición para maximizar beneficios dice que la empresa habrá de producir una cantidad tal que haga igualar sus costos marginales con el precio de equilibrio de mercado.

Answers

Answer:

La cantidad producida para maximizar las ganancias es de 915 unidades

Step-by-step explanation:

Pregunta: Calcule cuánto producirá para maximizar las ganancias.

La función de costo dada se presenta de la siguiente manera;

CT = Q³ - 45 · Q² + 600 · Q + 1200

La función de suministro es Qo = 5 · P - 300

La función de demanda es Qd = 2860 - 8 · P

A precio de equilibrio, tenemos;

Qo = Qd

Por lo tanto;

5 · P - 300 = 2860 - 8 · P

13 · P = 2.860 + 300 = 3.160

P = 3160/13

Por lo tanto;

Q = 2860 - 8 × (3160/13) = 11900/13 ≈ 915,38

La cantidad producida que maximiza las ganancias es de aproximadamente 915 unidades.

El costo total CT = 915³ - 45 × 915² + 600 × 915 + 1200 = 728,935,950

PLEASE HELP! DUE TODAY :))

Answers

Step-by-step explanation:

do like the picture I sent

Which statement correctly compares the function shown on this graph with
the function y = 4x + 2?

Answers

Answer:

Y=4X+2

Y=4X

4X/2

4*2+2=Y

Y=2

Step-by-step explanation:

Answer:

The answer is c

Step-by-step explanation:

Which lists all of the shapes that are in a two-dimensional net of a square pyramid? 6 squares 4 triangles 1 square and 3 triangles 1 square and 4 triangles

Answers

Answer:

4 triangles and 1 square

Step-by-step explanation:

Required

The shapes in two-dimensional net of a square pyramid

To do this, I will attach an attachment of a 2D net of a square pyramid (see attachment)

From the attachment, we can see that:

The 2d shape of the pyramid is made of 4 triangles and 1 square

Answer:

D

Step-by-step explanation:

helppppppppppppppp me

Answers

Answer:

42

Step-by-step explanation:

5²+3(2)+5+6

25+6+5+6

31+11

42

Hope it helps

kPLEASE SOMEONE SOLVE B) I ALREADY KNOW 1. A) Is 75.875m^2

Answers

The answer to part A is correct. You basically have to find the area of that L shape, and subtract off the area of the shaded trapezoid.

To get part B, you need to find the perimeter. This is because the trim runs along the bottom edge of the wall. Refer to the diagram below. Adding up the exterior sides gets us:

12+12+4+8+8+4 = 48

So she needs 48 meters of trim.

I'm not sure what your teacher means by "what assumptions do you make". If your teacher is referring to something like making room for a door, then we'll have to subtract some value from that 48. The problem with this though is that we don't have any clue how wide the door is. So you'll have to ask your teacher for clarification.

Luckily, this value 48 is an overestimate of the amount of trim Jennifer needs to buy. In my opinion, it's better to overestimate than underestimate, which saves from having to make another trip to the hardware store.

mutual sold an item for sh.3250 after allowing his customers a 12% discount on the marked price.if he had sold the article without giving a discount,he would have made a profit of 25%.calculate the percentage profit he made by selling the article at a discount?​

Answers

Answer:

lol Step-by-step explanation:

Find cos A and cot B exactly if a=15 and b=11 , what will Cos A be and Cot B be?

Answers

Answer:

D. <15/√346>

Have a nice day! :)

Find the value of x. PLEASE HELP ASAP!
A.4
B. 16
С. 5
D. 12

Answers

Answer: x>12

so i think x is 16.

What is the sum of the interior angles of the octagon below?
Select one:
a. 360°
b.720°
C. 1,080
d. 800

Answers

Answer:

Option C, 1,080

Step-by-step explanation:

sum of the interior angles of the octagon,

(8-2)×180

= 6×180

= 1080

Answered by GAUTHMATH

Single adults: According to a Pew Research Center analysis of census data, in 2012, 20% of American adults ages 25 and older had never been married. Suppose that we select random samples from this population of American adults ages 25 and older. For each sample we then calculate the proportion that had never been married.

For which of the following sample sizes will the sampling distribution be approximately normal?

Wang, W., and Parker, K. (2014). Record Share of Americans Have Never Been Married. Pew Research Center. http://www.pewsocialtrends.org/2014/09/24/record-share-of-americans-have-never-married/

A) 25
B) 50
C) 75

Answers

Answer:

B. 50

Step-by-step explanation:

Central limit theorem is used to calculate the sampling distribution of the given case. The number of adults who are 25 years of age or above and not married is 20% of the samples selected. The standard deviation is 0.06 while the sample size should be 50 to conclude the results.

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