Find the measure of the indicated angle to the nearest degree

Answers

Answer 1

[tex]\boxed{\sf tan\theta=\dfrac{p}{b}}[/tex]

[tex]\\ \sf\longmapsto tan\theta=\dfrac{13}{20}[/tex]

[tex]\\ \sf\longmapsto tan\theta=0.6[/tex]

[tex]\\ \sf\longmapsto tan\theta\approx\dfrac{1}{\sqrt{3}}[/tex]

[tex]\\ \sf\longmapsto tan\theta\approx tan60[/tex]

[tex]\\ \sf\longmapsto \theta\approx 60°[/tex]


Related Questions

) If a 480 pupils in a school are boys representing 80% of the school's enrolment . Find the total number of pupils in the school

Answers

Answer:

Total student= 600

Step-by-step explanation:

Let x be the number of students

[tex]x \times \frac{80}{100} = 480 \\ = 480 \times \frac{10}{8} \\ x = 600[/tex]

Brainliest please~

Answer:600

Step-by-step explanation:

by taking total number of pupils x

80/100×x=480

48000/80=600

x=600

will give brainliest!!! pls help with all questions

Answers

It would be a lot better if you zoomed in for these since it’s nearly impossible to read.

Write the equation of the line that passes through the points (4,5) and (4,-6).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Answer:

x=4

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

   = ( -6-5)/(4-4)

  = -11/0

This means the slope is undefined

Then means it is a vertical line

Vertical lines are in the form

x = constant

The constant in this case is the x value of the points

x=4

A fair spinner has 12 equal sections: 5 red 4 blue and 3 green. its Spun twice what is the probability of getting the same colour twice?​

Answers

Answer:

25/72

Step-by-step explanation:

P( blue) = blue / total = 4/12 = 1/3

P ( blue, blue) = 1/3 * 1/3 = 1/9

P ( red) = red / total = 5/12

P ( red, red) = 5/12 * 5/12 = 25/144

P ( green) = green /total = 3/12 =1/4

P ( green , green) = 1/4 * 1/4 = 1/16

Add these together to get

P( same colour twice) = 1/9+ 25/144 + 1/16

                                      =16/144 + 25/144 + 9/144

                                      =50/144

                                     =25/72

Simplifying the equation below! Please help.

Answers

Answer:

that would be -11

Step-by-step explanation:

it is asking for the absolute value of -7-4 however absolute value is always positive once you solve that you have a negative symbol on the outside that turns ur answer negative

Answer:

- 3

Step-by-step explanation:

- | -7+4|

Determine inside the absolute value first

-7+4 = -3

Replace inside the absolute value

- |-3|

The absolute value means take the non negative value

|-3| =3

- 3

Will give Brainliest!!

Jocelyn eats 5 gummy worms today. Each day she eats one more than the day before. How many gummy worms in all will she have eaten by the end of Day 32?

Answers

Answer:

Jocelyn will have eaten 620 (which is way too much) by the end of day 32.

Step-by-step explanation:

First find out all the numbers that have to be added.

5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35

Then, Add.

5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30+31+32+33+34+35

= 620

Jocelyn ate 620 gummy worms by the end of the 32nd day.

Thank YOu! Please mark me brainliest!

Answer:

656

Step-by-step explanation:

i took the test

A Ferris wheel is boarding platform is 2 meters above the ground, has a diameter of 48 meters, and rotates once every 5 minutes. How many minutes of the ride are spent higher than 38 meters above the ground

Answers

Answer:

Step-by-step explanation:

I discounted the 2-m ramp. If we are supposed to be looking for the length of time the ride is above 38 m from the ground, that translates to 36 m from the very bottom of the circle that is the Ferris wheel (where the wheel would meet the "ground"). I first found the circumference of the circle:

C = 48(3.1415) so

C = 150.792 m

I enclosed this circle (the Ferris wheel is a circle) in a square and then split the square in 4 parts. Each square has a quarter of the circle in it. If you divide the circumference by 4, that means that the arc length of each quarter circle is a length of 37.698 m. But that doesn't put us 36 m above the ground, that only puts us 24 m above the ground (remember the diameter of the circle is 48, so half of that is 24, the side length of each of the 4 squares). What that means to us (so far, and we are not at the answer yet) is that when the height off the ground is 24 m, a car that starts at the bottom of the ride has traveled 37.698 m around the circle. Traveling in an arc around the outside of the circle is NOT the same thing as a height off the ground. Going around a circle takes longer because of the curve. In other words, if the car has traveled 37.698 m around the outside of the circle, it is NOT 37.698 m above the ground...it's only 24 m above the ground. Hence, the reason I enclosed the circle in a square so we have both the circle's curve {arc length} and height above the ground {side of the square}). As the car travels farther along the outside of the circle it gets higher off the ground. If one quarter of the circle is 24 m above the ground, we need to figure out how much farther around the circle we need to go so we are 36 m above the ground. The height difference is 36 - 24 = 12m. we need now to find how long the arc length of the circle is that translates to another 12 m (the difference between the 24 we found and the 36 total). Using right triangle trig I found that arc length to be 12.566. The total arc length on the circle that translates to 36 m above the ground is 50.26437 m.

Going back to the beginning of the problem, the circumference of the circle is 150.792, and it makes one complete revolution in 5 minutes. That means that a car will travel 30.1584 m in 1 minute. Since this is the case, we can use proportions to solve for how long it takes to get 36 m above the ground:

[tex]\frac{m}{min}:\frac{30.1584m}{1min}=\frac{50.26437m}{xmin}[/tex] and cross multiply:

30.1584x = 50.26437 so

x = 1.6667 minutes, the time it takes to reach a height of 36 m. BUT this is not what the question is asking. The question is asking how long it's HIGHER than that 36 m. Let's think.

The car starts at the bottom of the ride, gets to a height of 36 m, keeps going around the circle to its max height of 48 m, then eventually comes back down and keeps going til it's back on the ground. That means that there is a portion at the top of the wheel that is above 36 m. If it goes 50.2647 m around the circle til it's at 36 m, then when it passes the max height and drops back to 36 m, it's 50.2647 m around the other side of the circle. We just found that to travel that 50.2647 m, it took the car 1.6667 minutes. We travel this distance twice (once meeting the height going up and then again coming down) so that takes up 3.3334 minutes.

5 minutes - 3.3334 minutes leaves us off 36 m above the ground for 1.6664213 minutes.

A piece of fabric 20m long sew 4/5 of that cloth, the rest of the fabric is sewn for each bag 2/3m, how many bags can be sewn in all?

Answers

Answer: 16 bags

Step-by-step explanation:

(20) (4/5) = 16

(16) (3) / 2 = 24

a crate of medicine with a density of 167 pounds per cubic foot will ne shipped from the u.s to israel. what is the crates density in kilometers per cubic meter?

Answers

9514 1404 393

Answer:

  2675.08 kg/m³

Step-by-step explanation:

  [tex]\dfrac{167\text{ lb}}{\text{ft}^3}\times\dfrac{0.45359237\text{ kg}}{1\text{ lb}}\times\left(\dfrac{1\text{ ft}}{0.3048\text{ m}}\right)^3\approx\boxed{2675.08\text{ kg/m$^3$}}[/tex]

What is the measure of angle x?

Answers

Answer:

93+52+x=180(sum of angels of a triangle)

145+x=180

x=180-145

x=35

Answer:

D. 35

Step-by-step explanation

Every triangle equals to 180 degrees

Add the 2 angles, 93 and 52 which equals 145

Now subtract 180 and 145

Therefore, you should get 35

The sum of two numbers must be 24 or greater. The product of the two numbers must be less than 60. Which system of inequalities represents this situation?

A
{x+y≥24xy<60

B
{x+y>24xy<60

C
{x+y≥24xy<60

D
{x+y>24xy<60

Answers

Answer:

A

Step-by-step explanation:

The sum means +, 24 or greater means ≥ 24

The product means multiplying. less than 60 means < 60

I don't really know how else to explain, so if you still don't understand, sorry.

I hope this helps!

pls ❤ and mark brainliest pls!

Help me with my work plz.

Answers

Answer:

(√366 - 3)/24

Step-by-step explanation:

Given the following:

cos∝ = √3/8 and sinβ = √3/3

Sin(∝-β) = sin∝cosβ - cos∝sinβ

Get sin∝

Since cos∝ = √3/8

adj = √3

hyp = 8

opp = √8² - (√3)²

opp = √64 - 3

opp = √61

Recall that sin∝ = opp/hyp  

sin∝ = √61/8

Get cosβ

Since sinβ =  √3/3

opp = √3

hyp = 3

adj =√3² - (√3)²

adj = √9-3

adj = √6

Recall that cosβ = adj/hyp

cosβ = √6/3

Substitute the gotten values into the formula

Sin(∝-β) = sin∝cosβ - cos∝sinβ

Sin(∝-β) = ( √61/8)(√6/3)- (√3/8)(√3/3)

Sin(∝-β) = √366/24 - √9/24

Sin(∝-β) = (√366 - 3)/24



10-1: Compound Probability

A desk drawer contains 5 red pens, 6 blue pens, 3 black pens, 24 silver paper clips, and 16 white paper clips. If you select a pen and

a paper clip at random, what is the probability that you select a black pen and a white paper clip? Round to the nearest tenth of a

percent

O A. 11.72%

B. 12.12%

C. 9.9%

O D. 8.6%

Answers

Answer:

Step-by-step explanation:

Probability of black pens  =     3/14

Probability of white paper clips = 16/40

to find the probability of black pen and white paper clip we have to multiply these two probability.

3/14 x 16/40 = 48/560 = 8.6

easy algebra question below first correct answer gets brainliest

Answers

Answer:

3

Step-by-step explanation:

Easy pythagorean theorum question.

The law states that "A squared plus B squared, equals C squared."

A and B are the two sides that border the 90 degree mark.

C is the hypotenuse or the longest side/diagonal.

Since we know C and A (I chose to use A because why not) we can fill in the equation with what we know

2^2 + ?^2 = [tex]\sqrt{13^{2} }[/tex]

So

4 + ?^2 = [tex]\sqrt{13^{2} }[/tex]

Since the 13 is already squared in side of a root, it stays as 13

4 + x^2 = 13

4 - 4 + x^2 = 13 - 4

x^2 = 9

x^2 root = root of 9

x = 3

The missing side is 3.

Or you could use an online calculator xD

HELP ASAP

Write the equation of the line passing through the points (-5,8) and (-8,5).

Answers

Answer:

y=-5/8x+0

Step-by-step explanation:

express 0·4393939... as a fraction in its lowest term

Answers

Answer:

x= 439/999

Step-by-step explanation:

let x= 0.439439....    -> eq.1

1000x= 439.439439....    -> eq.2

eq.2-eq.1 =>   1000-x= 439.439....-0.439439...

                            999x= 439

                               x= 439/999

Answer:

[tex]\frac{29}{66}[/tex]

Step-by-step explanation:

We require 2 equations with the repeating digits 39 placed after the decimal point.

let x = 0.43939... ( multiply both sides by 10 and 1000 )

10x = 4.3939... → (1)

1000x = 439.3939... → (2)

Subtract (1) from (2) eliminating the repeating digits

990x = 435 ( divide both sides by 990 )

x = [tex]\frac{435}{990}[/tex] = [tex]\frac{29}{66}[/tex] ← in simplest form

What is the sum of the reciprocals of all the factors of 24. Both 1 and 24 are
considered to be factors of 24.

A: 59/24
B: 5/2
C: 65/24
D: 53/24
E: 41/24

Answers

Answer:

B

Step-by-step explanation:

1+2+3+4+6+8+12+24=60

60/24=5/2

so,B is the answer

The sum of all the reciprocals of the factors of 24 is 5/2.

What is fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.

The reciprocals of all the factors of 24 are;

1/1, 1/2, 1/3, 1/4, 1/6, 1/8, 1/12, 1/24

The sum of all the factors of 24:

1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24

Take LCM of the fractions:

1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24

= (24 + 12 + 8 + 6 + 4 + 3 + 2 + 1) / 24

1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24

= 60 / 24

Hence, the fraction:

1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24

= 5/2

Therefore, 5/2 is the sum of all the reciprocals of the factors of 24.

To learn more about the fractions;

brainly.com/question/10354322

#SPJ2

Find the missing side of the triangle.
A. √226 ft
B. √17 ft
C. √329 ft
D. √346 ft

Answers

15^2 = x^2 + 11^2

225 = x^2 + 121

Subtract both sides 121

225 - 121 = x^2 + 121 - 121

104 = x^2

x = √104

x = √4 × 26

x = √4 × √26

x = 2 × √26

x = 2 √26

on this necklace the ratio of black beads to white beads is 1:4 How many more black beads do you need to add to make the ratio of black to white 4:1 ?

WILL GIVE BRAINLIEST!!!

Answers

Answer = 15 black beads

1:4 = 1 black bead and 4 white beads
4:1 = 16:4
16 - 1 = 15 black beads

Find the length of side x in simplest radical form with a rational denominator.
459
4
95
Answer: 2 =
Submit Answer
HELP HELP HELP HELP PLSSSSSSS

Answers

Answer:

x= 2/2

Step-by-step explanation:

pls help i want it now​

Answers

Answer:

18kg is the correct answer

You work at McDonalds making $9 per hour, this week you are scheduled to work
4:30pm - 10pm Wednesday - Saturday. How much will your gross pay be for the WEEK?
(you are on the clock the entire shift)

Answers

Answer:

$198

Step-by-step explanation:

Basically what I did was how long is 4:30 - 10:00 pm (5 hours and 30 minutes)

and multiplied that by your hourly rate. So 5 × 9 = 45, 9 ÷ 2 = 4.5, 45 + 4.5 = 49.5, 49.5 × 4 = 198. And since you don't clock out and this is your gross payment then that is the final answer

Hello can you help me work this out ty

Answers

Answer:

x=8

Step-by-step explanation:

You need to isolate the variable.

6x+7=55

Subtract 7 from both side.

6x=48

Divide both sides by 6.

x=8

I hope this helps!

pls ❤ and give brainliest pls

Answer:

x=8

Step-by-step explanation:

For the equation 6x+7=55 subtract 7 from both sides of the equation to get 6x=55-7  55-7 =48 so now you have 6x=48 you need to  isolate the variable x by divide both sides by 6 so 6x/6=48/6 you are left with x=8.

math is a bummer bro​

Answers

Answer:

alr let's start

one clock 12 hrs => 360 °

so 1hr=> 30°

now visualise clock with struck 8

between 12 and 8 from smaller angle we get that there are 4 hrs in between so

4 × 30 = 120°

done Dana done done

Answer:

ANGLE=120°

SEE THE IMAGE FOR SOLUTION

Find the area of this

Answers

Answer:

124

Step-by-step explanation:

108 break the shape into multiple shapes and calculate the area of each

factor and solve the problems in the photo ……….. pleaseeeee help i haven’t done algebra in 2 years

Answers

Answer:

30. 2x²-x-1=0

or, 2x²-2x+x-1=0

or, 2x(x-1)+1(x-1)=0

or, (x-1)(2x+1)=0

so, x-1 = 0 or, x = 1

and 2x+1 = 0 or, 2x = -1 or, x = -1/2

so, x = 1 and 1/2

31. 3x²-14x=5

or, 3x²-14x-5=0

or, 3x²-15x+x-5=0

or, 3x(x-5)+1(x-5)=0

or, (x-5)(3x+1)=0

so, x-5=0 or, x=5

and 3x+1=0 or, 3x=-1 or, x=-1/3

so, x = 5 and -1/3

Answered by GAUTHMATH

if you are good at graphs help!!!
Create a mapping notation/rule for these relations
y= (-x/2 + 2)^3
y = 2/x + 3

BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

Need help ASAP 3(9+9b)=69+136

Answers

Answer:

b=3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

b = 3

Step-by-step explanation:

3(9+9b)=69+136

27+27b = 205

27b = 205-27

27b = 178

b = 178/27

*slaps face*

In the comments you said the "136" is "13b" so ok...

3(9+9b)=69+13b

27+27b = 69 + 13b

27+14b = 69

14b = 69-27

14b = 42

b = 3

2*cosx*(2x+30°) + √3=0

Answers

Answer: x  ≈  1.59688927,  −1.60312387,  −4.67045686,  4.69039614,  7.872914,  −7.91513776,  −10.89002194

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Simplify 2*cosx*(2x+30°) + √3=0

    Simplify each term.  

       Apply the distributive property.

2  cos ( x )   ( 2 x )  + 2  cos ( x )  * 30 °  + √ 3 = 0 Multiply  2  by  2 4  cos ( x )  x  +  2  cos ( x )  *30 ° + √ 3 = 0 Multiply  30 °by  2  4 cos ( x )  x  +  60 cos ( x ) + √ 3 = 0Reorder factors in 4 cos ( x ) x + 60 cos ( x ) + √34xcos(x)+60cos(x)+√3=0Graph each side of the equation. The solution is the x-value of the point of intersection. x ≈ 1.59688927 , − 1.60312387 , − 4.67045686 , 4.69039614 , 7.872914 , − 7.91513776 , − 10.89002194

Answer:

Step-by-step explanation:

please click thanks and mark brainliest if you like :)

Ruth is touring New York City with her family. They want to visit the Empire State Building, Central Park, and Times Square before their dinner reservations at 7:10 P.M. They want to spend 1 hour and 25 minutes at the Empire State Building, 2 hours and 5 minutes in Central Park, and 50 minutes in Times Square. What is the latest time Ruth's family can start their tour in order to make it to dinner on time?

Pls help :)

Answers

Answer:

The latest time Ruth's family can start their tour in order to make it to dinner on time is 2:50 P.M

Step-by-step

Change:

7h10= 430 mins

1 hour and 25 minutes= 85 mins

2 hours and 5 mintues= 125 mins

- Total time Ruth wants to do before his dinner reservations:

85+ 125+ 50= 260 (mins)

- The latest time Ruth's family can start their tour in order to make it to dinner on time:

430- 260= 170 (mins)

Change: 170 mins= 2 hours and 50 minutes

Good luck!

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