Instructions: Find the measure of the indicated angle to the
nearest degree

Instructions: Find The Measure Of The Indicated Angle To Thenearest Degree

Answers

Answer 1

Answer:

35 degrees

Step-by-step explanation:

In this situation we will be using opposite/hypotenuse, as that is what is shown to us through SohCahToa.

Since we are trying to find the angle we will need to use arcsin.

arcsin(31/54)

the angle is 35 degrees

Answer 2

Answer:

[tex]\approx35\textdegree[/tex]

Step-by-step explanation:

We need to find the given angle, and we are given the sides opposite to it and the hypotenuse. Therefore, we can use sine. Recall that:

[tex]\sin(\theta)=opp/hyp[/tex]

Plug in the numbers. The opposite side is 31 while the hypotenuse is 54.

[tex]\sin(\theta)=31/54\\\theta=\arcsin(31/54)\\\theta\approx35.03\approx35\textdegree[/tex]

(I forgot to mention this last time, but we can only do this because the triangle is a right triangle.)


Related Questions

What is the slope-intercept equation for the line below?
(0.1) (4. 3)​

Answers

Answer:

y=1/2x+1

Step-by-step explanation:

You can use the equation (y1-y2)/(x1-x2) to find the slope of the line with the given points. You put your y-values on top and x values on bottom, subtracting them to get 3-1/4-0. Then you simplify to get 2/4 or 1/2 as the slope. You then get y=1/2x+b. You can use one of the given points as x and y to solve for b. using (0,1) as x and y you get the equation 1=1/2(0)+b, after multiplying you get 1=0+b, or 1=b. Now that you have b you can make the equation, y=1/2x+1.

Please answer this question now in two minutes

Answers

Answer:

PQO and STQ

Step-by-step explanation:

When two lines are crossed by another line (called the Transversal)

The angles in matching corners are called Corresponding Angles.

When the two lines being crossed are parallel lines the corresponding angles are equal.

Question 2 Part A Use your responses to the previous questions, as well as your economic knowledge and terminology, to compose two well-written paragraphs that respond to the following question: What is the potential impact on the South African communities local economy from the game reserves investment in the clinic? Be sure to use these concepts in your writing: human capital health care PPC GDP infrastructure Your paragraphs should include a topic sentence as well as introductory and concluding sentences.

Answers

Answer: The game reserve’s investment in the clinic has the power to transform the rural South African community shown in the video. The game reserve is an important source of income for the community. The money from the reserve benefits the community by facilitating the building of infrastructure, such as schools and child-care facilities. These operations in turn generate employment.

The game reserve and the schools require a workforce and human capital. However, the workforce in the rural area is vulnerable to deadly diseases because of the HIV epidemic and poor sanitation. By investing in a mobile clinic and giving free medical treatment to those in the community, the game reserve can nurture its human capital and extend life expectancy in the area. If people are healthy and educated, they can work, be productive, and participate in community development. By protecting the workforce from death and disease, the game reserve can drive economic growth.

Step-by-step explanation:

Answer:

The investment for the game reserve is in the center and has the ability to change the country, South African people group appeared in the video. The game hold is a significant type of revenue for the local area. The cash from the hold benefits the local area by encouraging the structure of framework, for example, schools and kid care offices. These activities thus produce business.  

The game reserve and also schools require a labor force and human resources. Notwithstanding, the labor force in the country territory is defenseless against destructive sicknesses due to the HIV pandemic and helpless disinfection. By putting resources into a portable facility and giving free clinical treatment to those locally, the game hold can support its human resources and broaden future nearby. On the off chance that individuals are sound and taught, they can work, be beneficial, and partake in local area improvement. By shielding the labor force from death and infection, the game hold can drive financial development.

Step-by-step explanation:

PLEASE HELP!! Find the 10th term of this sequence: 1/16,1/4,1,4,......

Answers

Every value is multiplied by 4 so:

1/16, 1/4, 1, 4, 16, 64, 256, 1,024, 4,096, 16,384.

Therefore, 16,384 is the 10th term.

What is the width of the prism if there is 4ft and 2ft and the volume is 24 cubic feet

Answers

Answer: width = 3ft

Explanation:

L x W x h = V
4 x W x 2 = 24
W x 8 = 24
W = 24/8 = 3

Answer:

It is 3 ( i think )

Step-by-step explanation:

The radius of the base of a cylinder is 10 centimeters and its height is 20 centimeters A cone is used to fill the cylinder with wager the radius of the cones base is 5 centimeters and its height is 10 centimeters

Answers

Answer:

24 times

Step-by-step explanation:

cone is used to fill cylinder

conevolume times x=cylindervolume

so

x=cylinderv/conev

cylinderv=hpir^2

conevolume=1/3hpir^2

cylinder:

v=hpir^2

r=10

h=20

v=20*pi*10^2=2000π

cone=1/3hπr²

r=5

h=10

v=1/3(10)π5²=250π/3

volume of cylinder ÷ volume of cone

= 2000π ÷ (250π÷3)

= 6000π ÷ 250π

= 600÷25

= 24

please mark me brainliest

Which function represents g(x), a reflection of f(x) = Two-fifths (10)x across the x-axis? g(x) = Negative two-fifths(10)x g(x) = Negative two-fifths (one-tenth) Superscript x g(x) = Two-fifths (one-tenth) Superscript negative x g(x) = Two-fifths(10)-x

Answers

Answer:

The correct option is;

g(x) = Negative two-fifths(10)x

Step-by-step explanation:

The rule for the reflection across the x-axis is as follows;

Reflection about the x-axis

Pre-image point before reflection = (x, y)

Point of image after reflection = ((x, -y)

Therefore, the x coordinate remains the same while the y coordinate changes sign

For which given that f(x) = y = 2/5(10)x and g(x) = Reflection of f(x) across the x-axis, we have

Reflection about the x-axis

Pre-image point before reflection = (x, f(x))

Point of image after reflection = (x, g(x))

Hence g(x) = -f(x) = -2/5(10)x.

Answer:

A

Step-by-step explanation:

Please answer this in two minutes

Answers

Answer:

you just have to use theorm and simplify it .

i hope u will get it...

What buddy said above

If you take a number, times by 4 then subtract 1. You get the same as if you took the number, times by 6 then add 9. What is the number?

Answers

Answer:

-5

Step-by-step explanation:

4x-1=6x+9

-1-9=6x-4x

-10=2x

x=-5

If a sample of 234 customers were taken from a population of 3620 customers, could refer to the variance of how many of the customers' ages?

Answers

If a sample of 234 customers were taken from a population of 3620 customers, s^2 could refer to the variance of how many of the customers' ages?

A. 234

B. 3620

C. Both 234 and 3620

D. Neither 234 nor

3620

Answer: 234

Step-by-step explanation:

Sample distribution = 234 customers

Population distribution = 3620 customers

S^2 which in statistics refers to the same variance utilizes the sample data in estimating the variance value of a population.

The sample variance is given by:

s^2 = (x - mean) / n - 1

where ;

n = number of observation in sample

s^2 = sample variance

mean = statistical mean of sample data

n - 1, is used to account for the bias in our estimation or inference of a population statistics from sample data.

Write area square units answer

Answers

The rectangle is 13 units long by 6 units wide.

Area = Length x width

Area = 13 x 6  = 78 square units.

Which set of side lengths is a Pythagorean triple?

Answers

Answer:

9,40,41

Step-by-step explanation:

Answer:

C. 9,40,41

Step-by-step explanation:

The last number in any answer is always the hypotenuse and that is what u will use, because according to the formula:

hypotenuse² = opposite²+adjacent² so;

41²=40²+9²

1,681 = 1600 + 81

1,681 = 1,681

so it is balanced and that means the answer is ✅

A small triangular lot has three sides of different length. The second side is 11 feet longer than the first side. The third side is 8 feet less than twice the first side. The perimeter of the lot is 71 feet. How long is the third side?
A) 28 ft
B) 38 ft
C) 17ft
D) 26ft

Answers

Answer:

first side = 17 ft

second side = 28 ft

third side = 26 ft

Step-by-step explanation:

a + b + c  = 71

b = a + 11

c = 2a - 8

a = first side lenght

b = second side lenght

c = third side lenght

a + (a+11) + (2a-8) = 71

4a + 11 - 8 = 71

4a + 3 = 71

4a = 71 - 3

4a = 68

a = 68/4

a = 17

b = a + 11

b = 17 + 11

b = 28

c = 2a - 8

c = 2*17  -  8

c = 34 - 8

c = 26

Check:

17 + 28 + 26 = 71

Answer:

first side = 17 ft

second side = 28 ft

third side = 26 ft

Step-by-step explanation:

a + b + c  = 71

b = a + 11

c = 2a - 8

a = first side lenght

b = second side lenght

c = third side lenght

a + (a+11) + (2a-8) = 71

4a + 11 - 8 = 71

4a + 3 = 71

4a = 71 - 3

4a = 68

a = 68/4

a = 17

b = a + 11

b = 17 + 11

b = 28

c = 2a - 8

c = 2*17  -  8

c = 34 - 8

c = 26

Check:

17 + 28 + 26 = 71

If m<1=45 then what is the measure of <2

HELP!!!

Answers

Hey there! :)

Answer:

m∠2 = 135°.

Step-by-step explanation:

∠1 and ∠2 are supplementary angles, meaning that they both sum up to 180°. Therefore:

m∠2 = 180 - m∠1

m∠2 = 180 - 45

m∠2 = 135°.

The production of rice increased by 50% from 1995 to 1996 by what percentage should the production of rice be increased from 1996 to 1997 so that the production of prize in 1997 become six times that of 1995

Answers

Answer:

300%

Step-by-step explanation:

Let the production of rice in 1995 be x.

From 1995 to 1996, the production increased by 50%

This implies that the production of rice is now:

(100 + 50) / 100 * x = 150/100 * x = 1.5x

It means the production is now 1.5 that of 1995.

We want the production in 1997 to be 6 times that in 1995, that is 6x, this implies that we have to find the percentage increase from 1996 to 1997:

(100 + P) / 100 * 1.5x = 6x

By cross-multiplying:

100 + P = 6x * 100 / 1.5x

100 + P = 400

P = 400 - 100

P = 300%

Therefore, the production must be increased by 300%.

The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 57 and a standard deviation of 7. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 50 and 57

Answers

Answer:

34%

Step-by-step explanation:

According to the empirical rule, 68% of all of the data in a normal distribution falls within one standard deviation of the mean.

Applying to this particular case, 68% of the requests fall within (50 - 7) and (50+ 7). The percentage of requests from 43 to 50 is equal to the percentage of requests from 50 to 57.

Therefore, the percentage of light bulb replacement requests numbering between 50 and 57 is 68/2 =  34%.

A recipe that makes 4 servings calls for Two-thirds cup of flour. How much flour is required to make 20 servings? 6 cups 3 and one-third cups two-thirds cups StartFraction 2 over 15 EndFraction cups

Answers

Answer:

3 1/3 cups of flour

Step-by-step explanation:

20/4 = 5

20 servings is 5 times 4 servings, so you need 5 times the amount of ingredients.

5 * 2/3 = 10/3 = 3 1/3

Answer: 3 1/3 cups of flour

Answer:

3 1/3 cups of flour is your answer.

The volume of this prism is 378cm3. What is the length of x First correct answer will get 5 starts and brainliest!

Answers

Answer:

14cm

Step-by-step explanation:

You divide 378 from 27

Of the bundles delivered daily to the store, 1/3

consists of the morning edition of The Daily Sun.

Another 2 bundles are made up of the afternoon

edition of the same paper. Of the remaining

bundles, 1/2 is regional, one is a local

newspaper, and one is from another state. How

many bundles are delivered daily to the

bookstore?

Answers

Answer:

x=9

Step-by-step explanation:

Let total bundle=x

Morning edition of the daily sun=1/3x

=x/3

Afternoon edition of the daily sun=2

That leaves 2x/3 - 2, of which

x/3 - 1 are regional

1 is local

1 from another state

Sum everything

x = x/3 + 2 + x/3 - 1 + 1 + 1

x=2x/3 +3

x-2x/3=3

3x-2x/3=3

x/3=3

Cross product

x=3×3

x = 9

Bob goes shopping at his favorite store and finds a hat that is regularly priced at $40, but it is on sale for 20% off. The sales tax on the hat is 10% of the sale price. How much does Bob end up paying for the hat?

Answers

Answer:

$35.2

Step-by-step explanation:

Marked price of hat = $40

Sale discount = 20%

discount in $ = 20% of $40 = 20/100 * 40 = $8

Thus, sale price = marked price - sale discount = $40 - $8 = $32

Now it is given that there is sales tax of 10%

This sales tax will be applied on sale price

thus,

sales tax in dollars = 10% of sale price of hat = 10/100 * $32 = $3.2

Total price paid for hat = Sale price+ sales tax = $32 +$3.2 = $35.2

Thus, Bob ended up paying $35.2 for the hat.

which of the following sum in simplest form (radicals)

Answers

Answer:

9√2

Step-by-step explanation:

Easiest and fastest way is to plug it into a calc and calculate. If not, you will have to simplify the expressions to have a common root in order to add.

Answer:

92

Option C is the correct option.

Solution,

[tex] \sqrt{8} + 3 \sqrt{2} + \sqrt{32} \\ = \sqrt{2 \times 2 \times 2} + 3 \sqrt{2} + \sqrt{2 \times 2 \times 2 \times 2 \times 2} \\ = 2 \sqrt{2} + 3 \sqrt{2} + 2 \times 2 \sqrt{2} \\ = 2 \sqrt{2} + 3 \sqrt{2} + 4 \sqrt{2} \\ =( 2 + 3 + 4 )\sqrt{2 } \\ = 9 \sqrt{2} [/tex]

Hope this helps...

Good luck on your assignment..

find amount of water displaced by solid spherical ball of diameter 28 cm​

Answers

Answer:

11494.04cm³

Step-by-step explanation:

Volume of a sphere

V = 4/3πr³

you got a diameter of 28cm, so half of taht is the radius.

r = 14cm

plug in and solve

V = 4/3πr³

= 4/3π(14)³

= 11494.04cm³

Please answer it in two minutes

Answers

Answer:

21/20, or 1.05.

Step-by-step explanation:

In this case, the measure of angle R is the same as angle V.

To find the tangent of a triangle, you do opposite over adjacent.

So, the tangent of angle V is 21 / 20.

That means that tan(R) = 1.05.

Hope this helps!

Pat is 2 years younger than his wife, Wynn. Ten years ago the sum of their ages was 48. How old are they now?

Answers

Pat is 33 and pats wife is 35.

That should be the correct answer :) If I'm correct brainliest is appreciated.

Answer:

Pat is 33 and Wynn is 35

Step-by-step explanation:

x for pat and y for wynn

Pat is 2 years younger than his wife : x-2=y

Ten years ago the sum of their ages was 48 : x+y=48

substitute x-2 for y in the second equation:

x+y=48

x+x-2=48

2x=46

x=23 age of Pat ten years ago and Wynn=25

now Pat is 33 and Wynn is 35

x/3 = -9 plz solve this

Answers

Answer:

x=-27

Step-by-step explanation:

To solve this equation, we need to find out what x is. Therefore, we must get x by itself.

x/3= -9

x is being divided by 3. We want to perform the inverse operation, which is multiplication. Multiply both sides of the equation by 3.

3*(x/3)=-9*3

x= -9*3

x=-27

Let’s check out solution. Plug -27 back in for x.

x/-3= 9

-27/-3=9

9=9

This checks out, so we know our solution, x= -27, is correct.

Point M divides line segment AB, in the direction from A to B, in a ratio of 5 to 3. What value on the number line would indicate the location of point M? A = --6, B = 3

Answers

Answer:

The coordinates of point M is -0.375.

Step-by-step explanation:

Given that point A = -6 and point B = 3

Point M divides line segment AB in the direction from A to B in the ratio of 5 to 3 we have;

Length from A to M = 5/(5 + 3) × Length of segment AB

Given that length of segment AB = 3 - (-6) = 3 + 6 = 9, we have;

Length from A to M = 5/8 × 9 = 45/8 = [tex]5\frac{5}{8}[/tex] = 5.625

Therefore, the coordinates of M = -6 + 5.625 = -0.375 = -3/8

The coordinates of point M = -0.375.

3 sides of the triangle are distinct prime numbers. What is the smallest possible perimeter of the triangle ?

Answers

Answer:

15

Step-by-step explanation:

1 is neither prime nor composite

2 is the smallest prime

3 is the next smallest prime

5 is the next smallest

but 2,3,5 do not make a triangle

The third side must be smaller than the sum of the other two

2+3 <5 not equal to

7 is the next prime

3,5,7 are the three sides of the triangle

P = 3+5+7

P = 15

Find the area of the shape shown below.

Answers

Answer:

I hope it will help you ...

Answer: 108 units squared

Step-by-step explanation:

24 x 1 = 24

7 x 24 = 168

168 / 2 = 84

84 + 24 = 108

The answer is 108 units squared

A rectangle has a length of 12 mm and a width of 15 mm. A new rectangle was created by multiplying all of the dimensions by a scale factor of 1/3 Which statement best describes the change in the perimeter of the new rectangle? The new perimeter will be One-half times the perimeter of the original rectangle. The new perimeter will be One-third times the perimeter of the original rectangle. The new perimeter will be 2 times the perimeter of the original rectangle. The new perimeter will be 3 times the perimeter of the original rectangle.

Answers

Answer:

the new perimeter will be 1/3 time the perimeter of the original rectangle

Step-by-step explanation:

What is the answer of .7 of which is 3.43

Answers

Answer:

4.9

Step-by-step explanation:

3.43/0.7

34.3/7=49

3.43/0.7=4.9

The value of x is approximately 4.9 when 0.7 (70%) of x is equal to 3.43.

We are given that 0.7 (which is the same as 70%) of a certain value (x) is equal to 3.43.

We represent "0.7 of x" as 0.7x.

So, the equation becomes:

0.7x = 3.43

To find the value of x, we need to isolate it on one side of the equation. To do this, we can divide both sides of the equation by 0.7:

(0.7x) / 0.7  = 3.43 / 0.7

The 0.7 on the numerator and denominator cancel out, leaving us with just x:

x = 3.43 / 0.7

Now, we perform the division:

x = 4.9

The value of x is approximately 4.9.

Hence, when 0.7 (70%) of 4.9 is calculated, it will be approximately equal to 3.43.

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ4

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