Mathematics High School

Angles A and B are the acute angles of a right triangle. If the tangent of A is 2.1445, then angle B measures

25
64
65

Answers

Answer 1
tan A = 2.1445
A = tan^(-1) 2.1445 = 64.999 ≈ 65°
In a right triangle:
A + B = 90°
65° + B = 90°
B = 90° - 65° = 25°
Answer:
A ) 25° (or your first option)
Answer 2

The requried measure of angle B is 25 degrees. Option A is correct.

What is the triangle?

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
In a right triangle, the tangent of an acute angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

Let A be one of the acute angles of the right triangle. Then, we have:

tan(A) = opposite/adjacent

Given that the tangent of angle A is 2.1445, we can write:

2.1445 = opposite/adjacent

Since angle B is also an acute angle of the same right triangle, we have:

tan(B) = opposite/adjacent

But since the sum of the angles of any triangle is 180 degrees, and one of the angles in this triangle is a right angle (90 degrees), we have:

A + B + 90 = 180

B = 90 - A

Substituting the expression for B into the equation for the tangent of angle B, we get:

tan(90 - A) = opposite/adjacent

tan(90 - A) = (1/tan(A)) x adjacent/opposite

tan(90 - A) = (1/2.1445) x adjacent/opposite

tan(90 - A) = 0.466

Taking the inverse tangent of both sides, we get:

90 - A = tan⁻¹0.466)

90 - A = 25.38

A = 90 - 25.38

A = 64.62

Therefore, the measure of angle B is,
B = 90 - A
  = 90 - 64.62 = 25.38 degrees

Thus, the requried measure of angle B is 25 degrees.

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Related Questions

On the first play, the football team lost 6 yards. On the second play, the team lost 5yards. What was their total change in yards?

Answers

The total change in yards the team lost was 11

The sum of three consecutive even integers is 50 more than the larger integer. What are the integers? Plz show work and answer ASAP.

Answers

Firstly, you'll want to form an equation:

a+b+c=d

To make it simpler, let's just say that 'a' is the largest integer

In that case, d-50=a

I could give you some convoluted equation to find your integers but honestly, checking and guessing is easier.

I just ran through a couple sets of numbers in my brain, although I'd suggest actually writing down your thought process.

These are the integers I got:

20, 30, and 50

Keep in mind, however, that there are multiple correct answers to this problem.

What's 17= z- (-9) days

Answers

z - (-9) is the same as z + 9. Subtracting a negative is the same as adding.

Therefore 
17 = z - (-9)
is the same as
17 = z + 9

To get 'z' all by itself, we need to subtract 9 from both sides. We subtract 9 from both sides to undo the "plus 9" occurring to the 'z' on the right side.

17 = z + 9
17-9 = z + 9=9 ... subtracting 9 from both sides
8 = z
z = 8

So the answer is z = 8

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

Check:

17 = z - (-9)
17 = 8 - (-9) ... replace z with 8
17 = 8 + 9
17 = 17
Answer checks out


The calculated value of z in the equation 17 = z - (-9) is 8

How to determine the value of z in the equation

From the question, we have the following parameters that can be used in our computation:

17 = z - (-9)

When the bracket is evaluated, we have

17 = z + 9

So, we have

z = 17 - 9

Evaluate

z = 8

Hence, the value of z in the equation is 8

3. company pays a greater annual salary? Show your Company A offers a semimonthly salary of $2432, and Company B offers a biweekly salary of $2390. Which work.

Answers

Company A offer
2,432×24(semimonthly)
=58,368 per year

Company B offer
2,390×26 (biweekly)
=62,140 per year

So company B pays a greater annual salary

Hope it helps!

Which value is equivalent to ?

Answers

The answer is 64/49 First you multiply everything inside then you raise it to the powers so (64/49)^3*(343)^3*7^-9
Hey! The correct answer is 64 over 49. I have worked this out for you. :3 ~Nesabug

What is v^4-1 simplified

Answers

The answer is:
(v-1)(v+1)(v^2+1)
[tex]\bf \textit{difference of squares} \\ \quad \\ (a-b)(a+b) = a^2-b^2\qquad \qquad a^2-b^2 = (a-b)(a+b)\\\\ -------------------------------\\\\ v^4-1\implies v^4-1^4\implies (v^2)^2-(1^2)^2\implies \underline{(v^2-1^2)}(v^2+1^2) \\\\\\ \underline{(v-1)(v+1)}(v^2+1^2)[/tex]

25900.1000 in scientific notation

Answers

259001 x 10^4 is the answer


 The number 25900.1000 in scientific notation = 25.9001 x 10^7

Which statement is true about this argument?

Premises: If two angles form a linear pair, then they are supplementary.
If two angles are supplementary, then the sum of their measures is 180°.

Conclusion: If two angles form a linear pair, then the sum of their measures is 180°.

Answers

Final answer:

The argument 'If two angles form a linear pair, then the sum of their measures is 180°' is valid. This conclusion is logically drawn from the premises stating that a linear pair of angles are supplementary, and that supplementary angles have a sum of 180°.

Explanation:

The statement 'If two angles form a linear pair, then the sum of their measures is 180°' is indeed true based on the provided premises. Here's why:

If two angles form a linear pair, according to the first premise, they are supplementary.Supplementary angles are those where the sum of their measures is 180°, as stated in the second premise.Therefore, if two angles form a linear pair (making them supplementary), then the sum of their measures is indeed 180°, which is the conclusion given.

So, the argument is valid and the conclusion is correctly drawn from the premises.

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Find the area of a circle with a radius of 8 inches.the formula for the area of a circle is a=πr2. use 3.14 for π

Answers

The area is 200.96 square inches

Answer:

200.96  square inches

Step-by-step explanation:

I took a quiz with this question and I got an A

Ben drinks tea at an incredible rate. He drinks 3.5 loiters of tea every 2/3 of an hour. How many of liters of tea does he drink in one hour?

Answers

First divide 3.5 by 2 which equals 1.75. Then do 1.75*3 which equals 5.25. So he drinks 5.25 liters in one hour.
3.5 divided by 2/3
convert 3.5 to 3 and 1/2 then to 7/2

(7/2)/(2/3)
remember that
[tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{ad}{bc}[/tex]

so
[tex]\frac{\frac{7}{2}}{\frac{2}{3}}=\frac{(7)(3)}{(2)(2)}=\frac{21}{4}=[/tex]
[tex]\frac{20}{4}+\frac{1}{4}=[/tex] 5 and 1/4 liters per hour or 5.25 liters per hour

Which property is NOT used when solving 15=2x-1

Answers

Final answer:

The associative property is not used when solving the given equation.

Explanation:

The property that is NOT used when solving the equation 15=2x-1 is the associative property.

The associative property states that the grouping of numbers does not affect the result of addition or multiplication. However, in this equation, there is no need to group the numbers in a different way.

Thus, the answer to the equation is:
15 = 2x - 1

Solving for x:
15 + 1 = 2x

16 = 2x

Divide both sides by 2:
16/2 = x

8 = x

A computer cost 1389.93 including tax if the tax rate is 7% find the price of the computer before taxes

Answers

1292.6349
Simply take 1389.93 x 0.07 = 93.something
subtract 93.something from 1389.93 and bam!
Ans = 1292.6349

Answer:

Cost of the computer before taxes is $1299.

Step-by-step explanation:

Let the price of the computer before taxes is = $x

Tax rate on this computer = 7%

Therefore, computer cost including tax = (x + 7% of x)

                                                                 = [tex]x+\frac{7x}{100}[/tex]

                                                                 = x + 0.07x

                                                                 = $(1.07x)

Cost of the computer including tax is given as $1389.93.

Therefore, 1389.93 = 1.07x

x = [tex]\frac{1389.93}{1.07}[/tex]

  = $1299

Cost of the computer before taxes is $1299.

a dwarf sea horse swims at a rate of 54.68 feet per hour. convert this speed to inches per minute. the speed is ____ inches per minute.

Answers

10.936
54.68*12=656.16
656.16/60=10.936

Evaluate A2 for A = -3.

Answers

If you are solving A^2 then the answer is 9.
Or If you are solving A•2 then the answer is -6.

Answer:  The required value of A² is 9.

Step-by-step explanation:  We are given the following value of a variable A :

[tex]A=-3.[/tex]

We are to find the value of [tex]A^2.[/tex]

To evaluate [tex]A^2,[/tex] we need to multiply A and A.

Therefore, the evaluation is as follows :

[tex]A^2=A\times A=(-3)\times(-3)=9.[/tex]

Thus, the required value of A² is 9.

Below are two different functions, f(x) and g(x). what can be determined about their y-intercepts? x g(x) 3 1 6 2 9 3 (1 point) the function f(x) has a higher y-intercept. the function g(x) has a higher y-intercept. they both have the same y-intercept. the relationship between y-intercepts cannot be determined.

Answers

Answer: The function f(x) has a higher y-intercept
Your welcome :D 

jenna is writing a check to her vehicle registration office for $100.42. how should she spell out this amount in the "written amount" section on her check

Answers

One hundred dollars & 42/100
One hundred dollars and 42/100------------------------------------------------------------

One angle in a triangle is half the largest angle, but three times the smallest. find all three angles.

Answers

x = smallest angle, y = middle angle, z = largest angle

x + y + z = 180...interior angles of a triangle add up to 180 degrees
y = 1/2z.....z = 2y
y = 3x.......1/3y = x

1/3y + y + 2y = 180....multiply everything by 3
y + 3y + 6y = 540
10y = 540
y = 540/10
y = 54 <== the middle angle

z = 2y
z = 2(54)
z = 108 <=== largest angle

1/3y = x
1/3(54) = x
54/3 = x
18 = x <=== smallest angle

What does 5×(-3)(-2) egual in algebra.

Answers

30
(-3)*(-2)=6
6*5=30
Double negatives makes a positive
answer is equal to 30

Could someone explain to me how to do the one that says “Determine if each pair of the equation are parallel, ect?

Answers

[tex]\bf \begin{cases} 2y=8x+4\\ \qquad y=\cfrac{8x+4}{2}\\\\ \qquad y=\stackrel{slope}{4}x+2\\\\ y=\stackrel{slope}{-\cfrac{1}{4}}x \end{cases}[/tex]

now, looking at the first set, notice their slopes... are they the same? no.. ok, that means they're not parallel then.

are they perpendicular? well, only if their slopes are negative reciprocal.  let's check

[tex]\bf slope\implies 4\implies \cfrac{4}{1}\qquad negative\implies \cfrac{-4}{1}\qquad reciprocal\implies -\cfrac{1}{4}[/tex]

low and behold, the negative reciprocal of 4 is the slope of the second equation, so they ARE indeed perpendicular.

now, let's check the second set.

[tex]\bf \begin{cases} 2x-3y=12\\ \qquad 2x-12=3y\\\\ \qquad \cfrac{2x-12}{3}=y\\\\ \qquad \stackrel{slope}{\cfrac{2}{3}}x-4=y\\\\ y=\stackrel{slope}{2}x+5 \end{cases}[/tex]

notice their slopes, are they the same slopes? no, so they're not parallel then, are they negative reciprocal of each other?  well, negative reciprocal of 2 is -1/2, so no, they're not, so they're not perpendicular.

well, then, but the slopes differ, that means, they do intersect somewheres, not at a right-angle, but they do, so they're only intersecting.

btw, a coincident set, will be when both are exactly the same equation, none of them on either set are.

Is the given point interior, exterior, or on the circle (x + 2)2 + (y - 3)2 = 81? Q(6,3)

Answers

Alright

This equation models a circle with a center of (-2 , 3) and a radius of 9

To check the point (6,3) how far is it from the center (-2,3):

using the distance formula:
[tex] \sqrt{(3-3)^2+(-2-6)^2} = \sqrt{0+8^2} = \sqrt{64} =8[/tex]

therefore, this point lies INSIDE the circle, not on it nor outside it.

It is an interior point.

Given the system of equations, what is the solution?

x + 2y = 7
x - 2y = -1

Answers

Add the 2 equations to eliminate the 2y. We get

2x = 6

x = 3

Plug x = 3 into the first equation:-

3 + 2y = 7
2y = 7 - 3 = 4

y = 2


Answer is x = 3 and y = 2

The solution of the system of equations is (3, 2)

What is a system of equations?

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought

Given is a system of equations,

x + 2y = 7......(i)

x - 2y = -1

x = 2y - 1.....(ii)

Put eq(ii) in eq(i)

2y-1+2y = 7

4y = 8

y = 2

Put y = 2 in eq (ii)

x = 2(2)-1

x = 4-1 = 3

Hence, the solution of the system of equations is (3, 2)

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Mrs. thompson receives $596.65 from her company each month. how much does mrs. thompson receive from her company in 12 months? enter your answer in the box.

Answers

$596.65 x 12months = $7,159.80

Answer:

the correct answer is $17159.80

Neptune's average distance from the sun is 4.503 × 109 km. mercury's average distance from the sun is 5.791 × 107 km. about how many times farther from the sun is neptune than mercury? enter your answer in scientific notation. if necessary, round your multiplier to the nearest ten-thousandth.

Answers

Neptune's distance from the sun is d₁ = 4.503 x 10⁹ km.
Mercury's distance from the sun is d₂ = 5.791 x 10⁷ km.

Calculate the number of times d₁ is greater than d₂.
[tex] \frac{d_{1}}{d_{2}} = \frac{4.503 \times 10^{9}}{5.791 \times 10^{7}} = 77.75859[/tex]

Answer: 7.7759 x 10⁻¹ times
Final answer:

Neptune's distance from the Sun is about 78 times farther than that of Mercury. This result is computed by dividing Neptune's average distance from the Sun by Mercury's average distance from the Sun.

Explanation:

The subject here is to determine how many times Neptune is farther from the Sun than Mercury. We have the average distance from the Sun to Neptune as 4.503 × 109 km and the average distance from the Sun to Mercury as 5.791 × 107 km. To find out how many times Neptune is farther from the Sun than Mercury, we divide the distance of Neptune by the distance of Mercury: (4.503/5.791) x 109-7 which equates to 0.77782 times 102 or 7.7782 × 101. Therefore, Neptune is approximately 78 (7.8 × 101 when rounded to the nearest ten-thousandths) times farther from the Sun than Mercury.

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Which of these is equal to the value of 9-(-5)?

Answers

Since the parenthesis essentially mean -1 multiplied by whatever is in parenthesis, and a negative number multiplied by a negative number is positive, we have 9+(-1)*(-5)=9+5=14

what would 6x-4=10 be?

Answers

6x-4=10
6x=14
x = 14/6
x=7/3

convert 170 kg/m^3 to g/cm^3.

Answers

keeping in mind that there are 1000 grams in a KILOgram and that in 1 meter there are 100 cm, therefore in 1 m³, there are (100 cm)³, or 100³ cm³, then

[tex]\bf \cfrac{170~\underline{kg}}{\underline{m^3}}\cdot \cfrac{1000~g}{\underline{kg}}\cdot \cfrac{\underline{m^3}}{100^3~cm^3}\implies \cfrac{170\cdot 1000~g}{100^3~cm^3}\implies \cfrac{170\cdot 1000~g}{1000000~cm^3} \\\\\\ \cfrac{170\cdot 1~g}{1000~cm^3}\implies \cfrac{170~g}{1000~cm^3}\implies \cfrac{17~g}{100~cm^3}\implies 0.17\frac{g}{cm^3}[/tex]

HELPPPPPPPPPPPPPPPPPPPP: Why does the AA similarity Theorem only need to identify the measurement of 2 congruent angles? Why is it not necessary to find the measurement of the third angle and show that it is also congruent to the corresponding third angle of a similar triangle?

Answers

The Third Angle Theorem states if two angles are congruent to two angles in another triangle, the third angles are congruent too. Because a triangle has 180 degrees the third angle in any triangle is 180 degrees minus the other two angle measures

Which fraction is in the simplest form of 224/360?

Answers

28/35 which u can't go any further than this bc 35 isn't divisible by 2 nor is 28 divisible by 5 

martin and natalie would be the same age if martin were two years older and natalie were three years younger. the sum of their ages is twenty-nine years old. how old is each?
Show your work.

Answers

hi!

Martin = m
Natalie = n

m + 2 = n - 3       m - n = -5
m +n = 29

Solving a system of equations:

m-n=-5
m+n=29

2m = 34
m = 17

So, n is 22

Hope this helps!

Please help! I am confused

Answers

I would say the 60 + 20 represents how the shirts cost the same amount. Then I would say the x either represents the cost before tax or how to find the cost of the shirts.


I hope this helps!
Good Luck!
The cost of jeans is represented by 60 since they only bought one pair and the 20x represents the cost of the shirts because we don't know how many shirts she bought and x represents how many shirts she bought. 
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