Find the measure of each angle indicated. Round to the nearest tenth.
A) 49°
C) 38.1°
B) 44.90
D) 42.89

Can you please help explain how to find the answer​

Find The Measure Of Each Angle Indicated. Round To The Nearest Tenth.A) 49C) 38.1B) 44.90D) 42.89Can

Answers

Answer 1

Answer:

D

Step-by-step explanation:

So we want to find θ. We are already given the hypotenuse and the side length opposite to θ. Therefore, we can use the trig function sine to find θ.

Recall that:

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

Plug in 10.2 for the opposite side and 15 for the hypotenuse:

[tex]\sin(\theta)=10.2/15[/tex]

Solve for θ. Use a calculator:

[tex]\theta=\sin^{-1}(10.2/15)\\\theta\approx42.8436\textdegree[/tex]

The answer is D.


Related Questions

20 points!!! Answer: what is the Product of -2x^3 + x – 5 and x^3 – 3 x -4 (a) Show your work (B) is the product of -2^3 + x -5 and x^3 -3 x - 4 equal to the product of x^3 – 3 – 4 and -2x^3 + x – 5 ? explain your answer

Answers

Answer:

-2x^6 + 7x^4 + 3x³ - 3x² + 11x + 20

Step-by-step explanation:

(-2x³ + x - 5)(x³ - 3x - 4) = -2x^6 + 6x^4 + 8x³ + x^4 - 3x² - 4x - 5x³ + 15x + 20

= -2x^6 + 7x^4 + 3x³ - 3x² + 11x + 20

B is the same thing but switching which trinomial is written first.

A farmer sells 8.6 kilograms of apples and pears at the farmer's market. 4/5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?

Answers

Answer:

Weight of apples = 1.72 kg

Step-by-step explanation:

Given:

Total mass of sale = 8.6 kg

Pears weight = 4/5 of total weight

Find:

Weight of apples

Computation:

Weight of apples = [1 - 4/5]Total mass of sale

Weight of apples = [1/5]8.6

Weight of apples = 1.72 kg

HELPP PLEASE I’ll give a brainlist

Answers

The lowest you can go without adding fractions is four to three, but you can do two to a half too.

multiply this decimals 1.02 x 0.286

Answers

The answer is 0.29172

Keisha has completed 72 math problems in her SHSAT practice workbook. This is 24% of the total number of math problems in the workbook. How many math problems are in the workbook?

Answers

Answer:

300

Step-by-step explanation:

Just because it makes sense.

Answer:

300

Step-by-step explanation:

Just because it makes sense. and you would get the answer that i did as well

11.49 for 3 packages

Answers

Answer:

Individual package would be 3.83

Hope this helps <3 Comment if you want more thanks and be sure to give brainliest (4 left) <3

In an experiment you are to flip a two sided coin 100 times and record 55 heads up and 45 tails up. Determine the theoretical and experimental probability of getting a heads up in the experiment.
theorical = 11/20, experimental = 11/20
theorical = 1/2, experimental = 1/2
theorical = 1/2, experimental = 11/20
theorical = 11/20, experimental = 1/2

Answers

Answer: The answer is C.

Step-by-step explanation:

Because in the theory of the outcome is a 50/50 chance landing heads or tails.  So, the theorectical probability is 1/2.  Now the experimental must be 11/20.

Answer:

theory=1/2, experimental=11/20

Step-by-step explanation:

so when talking about theoretical probability you only consider the only possible outcomes which are either head or tail and since you haven't carried out any sort of experiment yet (many flips) you consider the number of outcomes of tossed once since it's theory which are two therefore the probability of each will be 1/2

but in experimental probability you now consider the number of times tossed and the outcomes of each side which is this case of heads will be 55/100 but in the answers they have simplified so it will be 11/20

It took Amir 2 hours to hike 5 miles. On the first part of the hike, Amir averaged 3 miles per hour. For the second part of the hike, the terrain was more difficult so his average speed decreased to 1.5 mile per hour.

Answers

Answer:

Times

first part   x  =  1,33 h       second part  y =  0,66 h

distances  d₁ (first part ) d₁ = 4 miles    d₂  (second part )  d₂ = 0,999 miles

Step-by-step explanation: IMPORTANT NOTE: EVEN PROBLEM STATEMENT DID NOT ASK ANY QUESTION WE WILL ASSUME QUESTION ARE: LENGTH ( IN MILES ) AND SPENT TIME  OF EACH PART OF THE HIKE

We formulate a two-equation system according to:

x = time for the first part

y = time for the second part

then      x  +  y  =  2           or      y = 2 - x

And 3 m/h * x(h)   +  1,5 m/h * y (h)  = 5

3*x  +  1,5*y  = 5

3*x + 1,5 * ( 2 - x )  = 5

3*x  + 3  - 1,5*x  =  5

1,5*x  = 2

x  = 2/1,5 (h)

x = 1,33 (h)

And  y  =  2 -  1,33       y  =  0,66 (h)

Distances are

first part  d₁ = 3*1,33          d₁ =  4 miles

second part  d₂ = 1,5*0,66        d₂  = 0,999 miles

acute angle between the hours hand and the minute hand at 1pm​

Answers

Answer: 30 degrees

Step-by-step explanation:

1 hour = 60 min = 360 degree

1 min = 360/60 degree

1 min = 6 degree

and the gap of hour hand and minute hand at 1pm, is of 5 min

therefore acute angle formed is 5 X 6 = 30 degrees.

:-)

Answer:

30 degrees

Step-by-step explanation:

1 hour = 60 min = 360 degree

1 min = 360/60 degree

1 min = 6 degree

and the gap of hour hand and minute hand at 1pm, is of 5 min

therefore acute angle formed is 5 X 6 = 30 degrees.

(06.01)

Write the following expression in exponential form:

1.6 × 1.6 × 1.6 × 1.6

41.6
1.64
1.6 × 4
1.6 + 4

Answers

Answer:

[tex]1.6^{4}[/tex]

Step-by-step explanation:

1.6 is multiplied by itself 4 times. This is represented in exponential form as

[tex]1.6^{4}[/tex]

Which operation involving complex numbers requires the use of a conjugate to be carried​ out?

Answers

Answer:

The correct answer will be "Division".

Step-by-step explanation:

The procedure represents numerous values requiring something like a conjugate to have been done becomes division, since the denominator conjugate multiplies the numeric values including its quotient to represent the quotient of several complex numbers throughout the standard language.It is indeed a method used to separate a set of items across equal proportions.

prove that.....cos^2α(cosec^2α-cot^2α)=cos^2α​

Answers

Step-by-step explanation:

We must prove that

cos²a(csc²a-cot²a) = cos²a

If we look at both sides, we can see that we have cos²a * something = cos²a. Therefore, if we can get that something to equal 1, we have our proof. In this case, that something is csc²a-cot²a. Using this information, we can work from within the parenthesis and go from there.

We can start by expanding the items in the parenthesis. Taking that csc(x) = 1/sin(x) and cot(a) = cos(x)/sin(x), we can say that

cos²a(csc²a-cot²a) = cos²a(1/sin²a - cos²a/sin²a). Because both items in the parenthesis have a denominator of sin²a, we can subtract cos²a from 1 to get

cos²a(1/sin²a - cos²a/sin²a)= cos²a((1-cos²a)/sin²a))

Next, we know that cos²a+sin²a=1, so 1-cos²a = sin²a. Plugging that in, we get

cos²a((1-cos²a)/sin²a)) = cos²a(sin²a/sin²a)

= cos²a(1)

= cos²a

When three is added to four times a number, the result is 15
(a) Write an equation to represent the above information.
Answer
(b) Solve your equation in (a)​

Answers

Answer:

A. 4y + 3 = 15

B. y = 3

Step-by-step explanation:

Three is added to four times a number, the result is 15

A. Equation to represent the above information:

Let the unknown number= y

4 * y + 3 = 15

4y + 3 = 15

B. Solve your equation in (a)​

4y + 3 = 15

Collect like terms

4y = 15 - 3

4y = 12

Divide both sides by 4

4y / 4 = 12 /4

y = 3

Therefore, the unknown number is 3

Question
De acuerdo con la experiencia de una empresa dedicada al desarrollo de software, para realizar un proyecto mediano se requieren seis programadores para finalizarlo en 21 días. Teniendo en cuenta que la relación entre el número de programadores y el número de días necesarios para el desarrollo es inversa, la cantidad de programadores que se deben contratar para finalizar el proyecto en 14 días es nueve.

Answers

Answer:

u should put his is English and then translate it to read it

Apply

48. Think About a Plan A lumberjack cuts 7 pieces of equal length

from a log, as shown at the right. What is the change in the log's

length after 7 cuts?

• What operation can you use to find the answer?

• Will your answer be a positive value or a negative

value? How do you know?

49. Farmer's Market A farmer has 120 bushels of beans for sale at a farmer's market.

dau what is the change in the

Answers

Answer:

you can use a median method of counting and eliminating each side being each cut but the difference would it would be an equal number as the central off number cut divides one piece of wood into an even number.

Another operation is subtracting the cuts from the pieces you have 7 - 6 = 1 whole. Meaning the answer is correct if you are left with 1

If the cuts were even then you would have an a number of pieces that amount to an odd number.

So with 7 they are even and positive.

With counter checking they are positive as you always start with one piece of wood.

Two interior angles of a convex pentagon are right angles and the other three interior angles are congruent. in degrees, what is the measure of one of the three congruent interior angles?

Answers

Answer:

[tex]120^{0}[/tex]

Step-by-step explanation:

Given: pentagon (5 sided polygon), two interior angles = [tex]90^{0}[/tex] each, other three interior angles are congruent.

Sum of angles in a polygon = (n - 2) × [tex]180^{0}[/tex]

where n is the number of sides of the polygon.

For a pentagon, n = 5, so that;

Sum of angles in a pentagon = (5 - 2) × [tex]180^{0}[/tex]

                                                = 3  × [tex]180^{0}[/tex]

                                                = [tex]540^{0}[/tex]

Sum of angles in a pentagon is [tex]540^{0}[/tex].

Since two interior angles are right angle, the measure of one of its three congruent interior angles can be determined by;

[tex]540^{0}[/tex] - (2 × [tex]90^{0}[/tex])  = [tex]540^{0}[/tex] - [tex]180^{0}[/tex]

                       = [tex]360^{0}[/tex]

So that;

the measure of the interior angle = [tex]\frac{360^{0} }{3}[/tex]

                                                        = [tex]120^{0}[/tex]

The measure of one of its three congruent interior angles is [tex]120^{0}[/tex].

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Answer:

D. The over 30s have a larger range and interquartile range than the under 30s

Step-by-step explanation:

In a data set, the range is the difference between the maximum and minimum. So, the range for under 30s is 20, while the range for over 30s is 24. Additionally, the interquartile range is the difference between Q3 and Q1. For a boxplot, Q3 is the line where the box ends and Q1 is the line where the box begins. Therefore, the IQR for the under 30s is 8, and the IQR for over 30s is 11. So, D must be correct.

$10,000 for 20 years at 5% compounded annually

Answers

Answer:

$26532.98

Step-by-step explanation:

Given:

Principal = $10000Profit rate = 5% PA compoundedTime = 20 yearsCompounds = 20*1 = 20

Sum is:

10000*(1 + 5/100)²⁰ ≈ 26532.98

A train station is between the towns Antville and Bugville. The station is four times as far from Bugville as it is from Antville. If the distance from Antville to Bugville is 95 km, how far is it from Antville to the station?

Answers

Answer:

237.5 or 238

Step-by-step explanation:

95km=10

95km×10=950

950÷4= 237.5cm

approximately 238

Sailor Sheftat
Angle Terminology with Equations
Aug 03, 8:01:46 AM
?
ZA and B are complementary angles. If mZA= (6x – 4)º and m
ZB = (x + 17), then find the measure of ZA.
BE
Answer:
Submit Answer
attempt 1 out of 2
Pls help

Answers

Answer:

Does the answer help you?

kofi and kweku are two brothers. Kofi is older than kweku. Given that kofi's age is (5x-4) years and kweku's age is (2x+1) years.
a. write down an expression, interns of x,for how much old is Kofi than kweku.
b. if Kofi is tens years older than kweku, find the value of x and the ages of Kofi and kweku

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the details :

Kofi is older than kweku

kofi's age = (5x-4) years

kweku's age = (2x+1) years

a. write down an expression, interns of x,for how much old is Kofi than kweku

Equate the ages of Kofi and kweku

(5x - 4) = (2x + 1)

5x - 4 = 2x + 1

5x - 2x = 1 + 4

3x = 5

3x - 5

B.) if Kofi is tens years older than kweku, find the value of x and the ages of Kofi and kweku

Then,

(5x-4) = (2x + 1) + 10

5x - 4 = 2x + 1 + 10

5x - 2x = 1 + 10 + 4

3x = 15

x = 5

Kofi's age : 5x - 4

5(5) - 4 = 25 - 4 = 21 years

Kweku's age : (2x + 1)

2(5) + 1 = 10 + 1 = 11 years

Ellie wants to double her savings
of $5000 by investing her money
for 20 years.
What interest rate does
she need to look for?
Give your answer to 1 d.p.

Answers

Answer:

She will get more money than what she will get in the question

evaluwate 5(14-2to the third power)+8/2

Answers

Answer:

216,004

Step-by-step explanation:

so 5(14-2)third power + 8/2,

that would be

5(12)third power + 8/2

(60) third power + 4

216,000 + 4

lets try this again plz help

Answers

Answer:

[tex] \frac{x - 6}{3} = 5 \\ x - 6= 3 \times 5 \\ x - 6 = 15 \\ x = 15 + 6 \\ x = 21 \\ thank \: you[/tex]

I need help on this :(

Answers

Answer:

26⁹

Step-by-step explanation:

26 * 26⁸

= 26¹ * 26⁸

= 26¹⁺⁸

= 26⁹

Soda Tak claims that Diet Tak has 40mg of sodium per can. You work for a consumer organization that tests such claims. You take a random sample of 60 cans and find that the mean amount of sodium in the sample is 41.9mg. The population standard deviation in all cans is 5.2mg. You suspect that there is more than 40mg of sodium per can. Find the z-score.

Answers

Answer:

Z - score = 2.83

Step-by-step explanation:

Given the following :

Number of samples (N) = 60

Sample mean (x) = 41.9mg

Population mean (μ) = 40mg

Population standard deviation (sd) = 5.2

Using the relation :

Z = (x - μ) / (sd / √N)

Z = (41.9 - 40) / (5.2 / √60)

Z = 1.9 / (5.2 / 7.7459666)

Z = 1.9 / 0.6713171

Z = 2.8302570

Therefore, the z-score = 2.83

A survey was taken of children between the ages of 3 and 7. Let A be the event that the person has 2 siblings, and let B be the event that the person does not have a pet.
Which statement is true about whether A and B are independent events?

A and B are independent events because P(A∣B) = P(A) = 0.18.
A and B are independent events because P(A∣B) = P(A) = 0.4.
A and B are not independent events because P(A∣B) = 0.4 and P(A) = 0.18.
A and B are not independent events because P(A∣B) = 0.18 and P(A) = 0.4.

Answers

Answer: A and B are not independent events because P(A∣B) = 0.18 and P(A) = 0.4.

Step-by-step explanation:

They are not independent events because if they were P(A∣B) and P(A) would be equal.

WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!

In the following graph, ∆ABC is congruent to ∆A’B’C’. A teacher asks Janine to state the translation rule for this transformation. She focuses on point C’ and states that “the translation rule is

(x,y)→(x-2, y-6).

In other words, to shift from the blue to the red triangle, you must shift each point two units to the left and six units down. Janine made an error.

Explain how to correct her rule by either using transformation notation showing each step or explain using 2-3 sentences.

Answers

Answer:

She moved 3 to the left and 5 down.

She could have calculated each point seperately.

A(1,-1) then subtract 2 and subtract 6 from the x and then the y-coordanate, which gets you to A'(-1,-7). Then, do this with every other coordanate and you will get your answer. Hope this helped!

Adam and his dad share the cost of a meal in the ratio of 2:3.

Adam's dad pays £52.20.

What is the total cost of the meal?

Answers

Answer:

£ 87.00

Step-by-step explanation:

52.20*2/3=52.20/3*2=17.4*2=34.8

52.20+34.80=87.00

A hollow metal sphere has an external diameter of 12 cm and a thickness of 2 cm. (i) Given that the mass of 1 cm of the metal is 5.4 g, find the mass of the hollow sphere in kg. (ii) The hollow sphere is melted and recast to form a solid sphere. Find the radius of the solid sphere.​

Answers

Answer:

(i) 3.438159 kg

(ii) 5.336803297 cm

Step-by-step explanation:

the external diameter = 12 cm, => the radius = 6 cm.

the internal diameter = 12 - 2×2 = 8 cm, radius = 4 cm.

I assume the mass of 1 cm³ (not cm) is 5.4 g (very, very light metal).

the material is in the volume of external sphere minus internal (empty) sphere.

the volume of a sphere is

4/3 × pi×r³

V-e = 4/3 × pi×6³ = 4/3 × pi×216 = 4×pi×72 = 904.7786842 cm³

V-i = 4/3 × pi×4³ = 4/3 × pi×64 = 268.0825731 cm³

V-e - V-i = 4/3 × pi×(216-64) = 4/3 × pi×152 = 636.6961111 cm³

1cm³ = 5.4g

636.6961111 cm³ = 5.4×636.6961111 = 3438.159g = 3.438159 kg

for (ii) we need to work with the volume of the material and calculate backwards to find the radius of the sphere with the full volume of that size.

636.6961111 = 4/3 × pi×r³ = 4/3 × pi×152

152 = r³

r = 5.336803297

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