!!!!!HURRY!!!!!!
Bethany used the steps below in an attempt to solve for angle B in triangle ABC.


Where is bethanys error?

!!!!!HURRY!!!!!!Bethany Used The Steps Below In An Attempt To Solve For Angle B In Triangle ABC.Where

Answers

Answer 1

The measure of angle B in triangle ABC is 63.9°. Hence, Bethany has done a mistake in step 2.

Given that, in the triangle ABC, AC=4.1 cm, AB=4.5 cm and BC=2.7 cm.

We need to find the measure of angle B.

What is the trigonometric function to find the angle in the triangle?

The trigonometric function to find the angle in the triangle is b²=a²+c²-2ac cosB.

Now, (4.1)²=(4.5)²+(2.7)²-2×4.5×2.7 cosB.

⇒16.81=20.25+7.29-24.3 cosB

⇒16.81-27.54=-24.3 cos B

⇒cos B=0.44

B=63.9°

The measure of angle B in triangle ABC is 63.9°. Hence, Bethany has done a mistake in step 2.

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Answer 2

Answer:

B. Bethany took the square root of each squared term before isolating cosB and solving for B.

Step-by-step explanation:

took the quiz


Related Questions

A copy machine makes 19 copies in 3 minutes and 15 seconds. How many copies does it make per minute?

Answers

Answer:

5 copies

Step-by-step explanation:

19 ÷ 195

answer x 60

Answer:

10.26secs

Step-by-step explanation:

Let's start by converting 3minutes 15seconds to second

How

60secs=1min

Xsec=3mins

Let's cross multiply

x=60×3

X=180secs

180+15

195secs

So 19 copies=195 secs

1copy=x sec

Cross multiply

19x=1×195

19x=195

Divide both sides by 19

X=10.26secs

3. The ratio of the side lengths of a parallelogram is 5:8, and its perimeter is 78 inches. What is the length
of the longer side?
Length of Long Side =

Answers

Answer: 48

5+8=13

78 divided by 13 equals 6

6 x 8(long side)=48

Step-by-step explanation:

3. Find the mean and the median of this data set: 9,6,5, 3, 28, 6, 4, 7.

Answers

Answer:

Mean= 8.5

Median= 6

Step-by-step explanation:

3,4,5,6,6,7,9,28

Median= Middle (If two middle number, add and divide by 2)

Mean= (3+4+5+6+6+7+9+28) ÷8

What is the greatest common factor of 72
and 18?

Answers

Answer: 2, and 33

Step-by-step explanation:

Answer:

the greatest common factor is 18

Which shapes make up this composite figure?
VX
a cylinder and a cone
a cylinder and two cones
a half sphere, a cylinder, and a cone
a sphere and a cylinder

Answers

Answer:

Answer is "A cylinder and two cones"

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

The decay rate, k , for a particular radioactive element is 2.5%, where time is measured in years. Find the half life of the element. (Round to one decimal place)

Answers

Final answer:

Given a decay rate of 2.5% per year for a radioactive element, the half-life of this element, calculated using first-order kinetics, would be approximately 27.7 years.

Explanation:

The question seeks to find the half-life of a radioactive element given a decay rate of 2.5% per year. To solve this, we need to utilize the concept of first-order kinetics which is used to model radioactive decay.

First, we express the decay rate as a decimal, thus 2.5% is 0.025. To find the half-life or T1/2, we can make use of the formula T1/2 = ln(2) / k, where k is the decay constant or rate.

By inserting the values into this formula, it would be T1/2 = ln(2) / 0.025 which gives us approximately 27.7 years (rounded to one decimal place) as the half-life of the given radioactive element.

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The half-life is 27.7 years.

Half-life is the time required for half of the radioactive atoms to decay in a sample. In this case, the decay rate k = 2.5% is equivalent to 0.025 in decimal form.

By using the formula t1/2 = ln(2) / k, we can calculate the half-life.

Plugging in k = 0.025,

t1/2 = ln(2) / 0.025

= 27.7 years.

Therefore, the half-life of the element is approximately 27.7 years.

Complete Question:

The decay rate, k, for a particular radioactive element is 2.5%, where time is measured in years. Find the half-life of the element.

The half-life is  ___  years. (Round to one decimal place as needed.)

What is the missing angle measure?

Answers

Answer:

33 degrees

Step-by-step explanation:

Because of the little square in the corner of the triangle, you know that that angle is 90 degrees. Since the second angle is 57 degrees and all of the interior angles of a triangle add up to 180 degrees, the final angle is 180-90-57=33 degrees. Hope this helps!

Answer:

33

Step-by-step explanation:

the interior angle measure of all triangles is 180

you add the right and (90 degrees) to the 57 and subtract that from 180

this will get you 33

How many terms are in this polynomial?

Answers

Answer:

7 terms. number 2.

Step-by-step explanation:

Hope this helps!

A person is walking downhill at a constant speed. Which graph best represents the distance the person walks over time.

Answers

Top right corner, as the time and distance go up at a constant increase

Answer:

Step-by-step explanation:

Which sequence represents an arithmetic sequence?
A −5, −7, −10, −14, −19, …
B 1.5, −1.5, 1.5, −1.5, …
C 4.1, 5.1, 6.2, 7.2, …
D −1.5, −1, −0.5, 0, …

Answers

Answer:

D

Step-by-step explanation:

We know that an arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is always constant.

−5, −7, −10, −14, −19, …

Here difference between -5 and -7 is -2

But difference between -10 and -7 is -3

⇒ Difference is not constant.

Therefore, this sequence does not represents an arithmetic sequence.

1.5, −1.5, 1.5, −1.5, …  

Here difference between 1.5 and -1.5 is 3

But difference between -1.5 and 1.5 is 3

⇒ Difference is not constant.

Therefore, this sequence does not represents an arithmetic sequence.

4.1, 5.1, 6.2, 7.2, …  

Here difference between 4.1 and 5.1 is 1

But difference between 6.2 and 5.1 is 1.1

⇒ Difference is not constant.

Therefore, this sequence does not represents an arithmetic sequence.

−1.5, −1, −0.5, 0, …

Here difference between -1.5 and -1 is 0.5

But difference between -1 and -0.5 is 0.5

⇒ Difference is constant.

Therefore, this sequence represents an arithmetic sequence.

plz mark brainliest

Answer:

D.−1.5, −1, −0.5, 0, …

Step-by-step explanation:

Find the two angles that satisfy the equation. sin(3x + 2)° = cos(x+44)°

Answers

Answer:

x=21

Step-by-step explanation:

3x+2=x+44

3x+2-2=x+44-2

3x=x+42

3x-x=x+42-x

2x=42

42/2x

Answer:

35°, 55°

Step-by-step explanation:

sin(3x + 2)° = cos(x+44)°

Since sine and cosine are based upon right triangles, the two angles must add up to 90°. Thereby, 3x+2 +  x+44 = 90. Combine like terms to get:

4x + 46  =  90       subtract 46 from both sides

    -46     -46

4x          = 44        divide both sides by 4

4                4

x    =   11          plug that back into both angles

3(11) + 2 = 35;   11 + 44 = 55

The volume of the cone

Answers

Answer:

150.8

Step-by-step explanation:

Fractions is equipment to 3/8

Answers

Answer:

Step-by-step explanation:

It is eqivilent to 37.5

I think you meant to say "equivalent" instead of "equipment"

To find equivalent fractions to 3/8, you would multiply top and bottom by the same number.

If we multiply the top and bottom by 5 for instance, then

3*5 = 15

8*5 = 40

So 3/8 is equivalent to 15/40

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

Another example: multiply top and bottom by 9

3*9 = 27

8*9 = 72

This means 3/8 is equivalent to 27/72

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

Now let's say you were asked if 15/40 was equivalent to 3/8

To check this, you would assume they are equal, then cross multiply like so

15/40 = 3/8

15*8 = 40*3 ... cross multiply

120 = 120

Since we end up with the same thing on both sides, we have confirmed that 15/40 = 3/8 is a true equation.

a pair of dice is rolled, what is the probability of not rolling doubles?

Answers

Answer: There are only four ways. As a result, the probability is 4/36, or 1/9.

Step-by-step explanation: There are 36 possible ways to roll a pair of six-sided dice: six possibilities for the first die, times six for the second.

Answer:

here are only four ways. As a result, the probability is 4/36, or 1/9.

Step-by-step explanation:

How much does Troy pay for health insurance
each week?

Answers

Answer:

28.75

Step-by-step explanation:

15 + 8+ 8 + 5+ 2= 38%

Net pay = 100 - 38 = 62%.

100- 5 = 95%

575 times 95%= 546.25.

575 - 546.25= 28.75.

Evaluate 2a + 4b
if a = 10 and b = 6

Answers

Answer:

44

Step-by-step explanation:

Answer:44

Step-by-step explanation:

2(10)+4(6)

20+24

=44

Rechel is paid $11 for every hour at her dog walking job she is also get tip.she earned a total of $73 for 6 hours of work.how much was her tip?

Answers

Answer:

So you would think 6 hours= 11$ so 6x11=66 now 73-66= 7 so her tip was 7 dollars

please mark me brainliest

Step-by-step explanation:

Answer:

1.16

Step-by-step explanation:

she earned 66 dollers the hour then she got and extra 1.16 for tip the hour and 7 dollers of tip the whole 6 hours

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Given the diagram below, what is m_D?
1080
108

Answers

Answer:

The correct Awnser is Awnser choice C. (Or third one)

Answer:c)72

Step-by-step explanation:u got it right on ape

help and explain pls

Answers

Answer:

108 cm^2

Step-by-step explanation:

5 + 4 – (10/2 – 8 × 3) × 4

Answers

Answer:85

Step-by-step explanation:

Use PEMDAS (Parentheses Expinents Multiplication Divison Addition Subtraction) in that order to solve in the correct order

Answer:

85

Step-by-step explanation:

first you have to reduce the factor with 2, them multiply the numbers.

Calculate the difference (when there is a "-" in front of an expression in parenthesis, change the sign of each term of the expression)

Multiply the numbers

Calculate the sum of the positive numbers

now, solution: 85

[URGENT PLEASE HELP]
Which property is being used? 4.5 • (-1 • -6) [Distributive, Commutative, Associative, or Additive Inverse?]

Answers

Answer:

Line 1   Associative Additive inverse

Line 2  Associative, Additive inverse within brackets only and distributive.

Line 3 Associative

Line 4 is the Associative answer to 1

Step-by-step explanation:

Whilst we divide negative numbers as an inverse multiplication.

Where 4.5 x a negative 4 of the sum -1 would decrease by 2 decimals to 0.04 and so would the 5, they become additive inverse.

They can only be distributive if there are 2 multipliers.

PLEASE HELP WILL GIVE MOST BRAINLIEST!!!!

Answers

Answer:

48 ft cubed or 576 in cubed

Step-by-step explanation:

The volume of the water is 2304 in cubed. you multiply 12 in by 24 in by 8 in.

the rock makes the water go up 2 in. You then multiply 12 in by 24 in by 10 in. This will equal 2880 in cubed.

2880-2304=

576 in. cubed or 48 ft. cubed

Mona is hang gliding \dfrac{5}{4}
4
5

start fraction, 5, divided by, 4, end fraction kilometers above sea level. Directly below her, she sees a whale 0.20.20, point, 2 kilometers below sea level.
Which of the following expressions represents the distance between Mona and the whale?
Choose 1 answer:

Answers

Answer:

A

Step-by-step explanation:

i promise it's A.

Final answer:

Mona is hang gliding 1.25 kilometers above sea level and a whale is 0.2 kilometers below sea level. The total distance between them is the sum of both distances, which is 1.45 kilometers.

Explanation:

The distance between Mona and the whale is given by the sum of 2 distances. One is Mona's altitude above sea level (5/4=1.25 kilometers) and the other is the whale's depth below sea level (0.2 kilometers). Both values should be added because both distances are defined with respect to the sea level, and their signs indicate direction rather than distance. Therefore, the expression that represents the distance between Mona and the whale is 1.25 km+0.2 km = 1.45 km, where 1.25 km is the distance Mona is gliding above the sea level and 0.2 km is the distance the whale is under the sea level.

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Find the surface area of the prism.
3cm, 4cm, 12cm, 5cm
90 cm2


150 cm2


156 cm2


96 cm2

Answers

Your question is first one that’s your answer

Final Answer:

The surface area of the triangular prism is 156 cm².
Option C (156 cm²) is the correct answer.

Explanation:

To find the surface area of a triangular prism, you need to calculate the areas of all the faces and sum them up. The surface area will include the areas of:
- The two triangular bases, and
- The three rectangular sides.

Since the sides of the triangular bases are 3 cm, 4 cm, and 5 cm, and it is mentioned that they form a right triangle, we can consider those lengths to be the sides of a right-angled triangle where 3 cm and 4 cm are the perpendicular sides, and 5 cm is the hypotenuse. The length (height) of the prism is 12 cm.

1. Calculate the area of one triangular base:
  The area of a right-angled triangle can be calculated using the formula:
  Area = (Base * Height) / 2
 
  In our case, the base and height correspond to the two sides that are perpendicular to each other, which are 3 cm and 4 cm, respectively:
  Area_triangle = (3 cm * 4 cm) / 2
  Area_triangle = 12 cm² / 2
  Area_triangle = 6 cm²

  Since there are two identical triangular bases, we double the area:
  Total_area_triangles = 2 * Area_triangle
  Total_area_triangles = 2 * 6 cm²
  Total_area_triangles = 12 cm²

2. Calculate the area of the three rectangular sides:
  Each rectangle side is formed by the length of the prism and one of the sides of the triangle. There are three sides, so we have three rectangles:
  Rectangle 1 (Side a): Area = side_a * length = 3 cm * 12 cm = 36 cm²
  Rectangle 2 (Side b): Area = side_b * length = 4 cm * 12 cm = 48 cm²
  Rectangle 3 (Side c): Area = side_c * length = 5 cm * 12 cm = 60 cm²

  Now sum the areas of the rectangles:
  Total_area_rectangles = Rectangle 1 + Rectangle 2 + Rectangle 3
  Total_area_rectangles = 36 cm² + 48 cm² + 60 cm²
  Total_area_rectangles = 144 cm²

3. Sum up the areas of the triangular bases and rectangles to get the total surface area:
  Total_surface_area = Total_area_triangles + Total_area_rectangles
  Total_surface_area = 12 cm² + 144 cm²
  Total_surface_area = 156 cm²

Therefore, the surface area of the triangular prism is 156 cm².
Option C (156 cm²) is the correct answer.

To plot the point (3,4) on a scatter plot, which of the following steps should you follow? move three places vertically and four places horizontally move three places horizontally and four places vertically move three places vertically and three places horizontally move four places horizontally and four places vertically

Answers

Answer:

You should move 3 places horizontally, and 4 places vertically.

Step-by-step explanation:

Final answer:

To plot the point (3,4) on a scatter plot, you should follow:

Move three places horizontally and four places vertically.

Explanation:

To plot the point (3,4) on a scatter plot, you should follow these steps:

First, move three places horizontally from the origin along the x-axis; this represents the x-coordinate of the point. Next, from that position, move four places vertically along the y-axis; this represents the y-coordinate of the point.

By doing this, you will have plotted the point (3,4) correctly on the scatter plot.

This process is based on the convention that the first number in the ordered pair (x,y) corresponds to the horizontal (x-axis) movement while the second number corresponds to the vertical (y-axis) movement.

Therefore, plotting a point on a scatter plot or any Cartesian plane involves finding the x-coordinate on the x-axis and then finding the y-coordinate on the y-axis and marking the point where these two meet.

The expression y? - 10y + 24 has a factor of y-4. What is another factor of y? - 10y + 24?!
y-20
y-14
y-8
y-6

Answers

Answer:

y=6

Step-by-step explanation:

y² - 10y + 24

factor: y - 4

24 / -4 = -6

y - 6 is the other factor.

(y-4)(y-6) ⇒ y(y-6) -4(y-6) = y² - 6y -4y + 24 ⇒ y² - 10y + 24

please mark as brainliest plzzzzzzzzz

Final answer:

The other factor of the expression y² - 10y + 24, other than y - 4, is y - 6. The expression can be factored as (y - 4)(y - 6).

Explanation:

The given expression is y² - 10y + 24. You have given that one factor is (y - 4). To find the other factor of the equation, we can divide the whole equation by (y - 4). By doing this, we find out that the other factor is (y - 6).

So, the expression y² - 10y + 24 can be factored as (y - 4)(y - 6).

This concludes that other than (y - 4), the other factor of the expression y² - 10y + 24 is (y - 6).

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Factor the trinomial 3x2 + 16x + 21

Answers

Answer:

(3x+7)(x+3)

Step-by-step explanation:

Factors 3x^2+16x+21

3x^2+16x+21

=(3x+7)(x+3)

Answer:

[tex]3 {x}^{2} + 16x + 21 \\ 3 {x}^{2} + 9x + 7x + 21 \\ 3x(x + 3) + 7(x + 3) \\ = (3x + 7)(x + 3)[/tex]

A right triangle has sides of length 3, 4, and x .Find x if it is the hypotenuse

Answers

Answer:  D) 5

Work Shown:

a = 3 and b = 4 are the two legs

c = x is the unknown hypotenuse

Use the pythagorean theorem to solve for c

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

25 = c^2

c^2 = 25

c = sqrt(25)

c = 5

Final answer:

This question involves using the Pythagorean theorem to find the length of the hypotenuse of a right triangle. Given the lengths of the sides as 3 and 4, we find that the hypotenuse (denoted as 'x') is 5.

Explanation:

The subject of this question is mathematics and it is related to finding the length of the hypotenuse of a right triangle using the Pythagorean theorem. In the case of this problem, the two sides of the triangle are given (3 and 4) and the hypotenuse (x) is what we are solving for.

The Pythagorean theorem is as follows: a² + b² = c². In this notation, a and b are the lengths of the two sides, and c is the length of the hypotenuse. Given that a is 3 and b is 4, to find out x (or c in the formula), we square each of those values (3² + 4²) and get 9 + 16, respectively. This means x² = 25, so the value of x (the hypotenuse) is √25, which equals 5.

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Vince has a dog washing business .he washed 8 dogs and earned a total of 119.92 how much doe he charge per dogs?

Answers

Answer:

14.99

Step-by-step explanation:

119.92/8

Can y’all help me please

Answers

Answer: fourths

Step-by-step explanation:

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