In △ABC, AB = 7 and AC = 17. Find m∠B to the nearest degree
68
38
21
87

In ABC, AB = 7 And AC = 17. Find MB To The Nearest Degree68382187

Answers

Answer 1

Answer:

The m∠B is 68°

Step-by-step explanation:

Given the right angled triangle ABC in which right angled is at A.

AB = 7 units and AC = 17 units

we have to find the measure of ∠B.

By trigonometric ratios,

[tex]cot \angle B=\frac{AB}{AC}[/tex]

[tex]cot \angle=\frac{7}{17}[/tex]

[tex]\angle B=cot^{-1}(\frac{7}{17})[/tex]

[tex]\angle B=67.619864948\sim 68^{\circ}[/tex]

Hence, the m∠B is 68°

Option 1 is correct


Related Questions

If a number is located farther right on the number line than another, then it is larger. True False

Answers

True. When you go right, the number value increases so yes, it is larger

Answer:

it is TRUE my homei

Step-by-step explanation:

Find the product identify the two whole numbers between which the product lies 7x 8/10?

Answers

Hey there!

Let's first simplify this product to see which two whole numbers it lies between. Remember, when we multiply fractions, we just multiply straight across. We have:

7/1 * 8/10 = 56/10

Now, we have to make it an improper fraction. 56 divided by 10 is 5 remainder 6, so we have:

5 6/10 = 5 3/5

Therefore, since it's after 5 but not 6, it's between 5 and 6. Hope this helps!

what the circumstances of a circle with a diameter of 12ft

Answers

Circumstances?
  I have seen a circle about that size used for a labyrinth at a church.

Circumference is found by multiplying the diameter by pi.
  (12 ft)*π ≈ 37.7 ft

Write the equation in standard form for the circle passing through ( - 1,3) centered at the origin.

Answers

so we know the center of the circle is at 0,0, what's the radius?

well, the radius is the distance from the center to any point on the circle, it just so happen that -1, 3 is on it, so then

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ 0 &,& 0~) % (c,d) &&(~ -1 &,& 3~) \end{array}~~~ % distance value d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ r=\sqrt{(-1-0)^2+(3-0)^2}\implies r=\sqrt{(-1)^2+3^2}\implies r=\sqrt{10}\\\\ -------------------------------[/tex]

[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{0}{ h},\stackrel{0}{ k})\qquad \qquad radius=\stackrel{\sqrt{10}}{ r} \\\\\\ (x-0)^2+(y-0)^2=(\sqrt{10})^2\implies x^2+y^2=10[/tex]

Final answer:

The standard form equation of a circle centered at the origin and passing through (-1,3) is x² + y² = 10, where √10 is the radius of the circle calculated using the distance formula.

Explanation:

To write the equation of a circle in standard form that is centered at the origin and passes through the point (-1,3), you first need to calculate the radius using the distance formula. The distance formula is √((x2-x1)² + (y2-y1)²), where (x1, y1) is a point on the circle and (x2, y2) is the center of the circle. Since the circle is centered at the origin, (0,0), we can compute the radius as follows:

Radius = √((-1 - 0)² + (3 - 0)²) = √(1 + 9) = √10

The standard form of the equation for a circle centered at (h, k) with a radius r is:

(x - h)² + (y - k)² = r²

Since our circle is centered at the origin, h = 0 and k = 0, and the radius r = √10, the equation becomes:

x² + y² = 10

3 2/3 + 7 1/5 simplify if possible

Answers

The answer is 63/15 or 10 13/15 
3 2/3 + 7 1/5

[Change the denominator to be the same]
= 3 10/15 + 7 3/15

[Add them]
= 10 13/15

2 times 2 plus 10 plus 200 plus 56

Answers

2×2 + 10 + 200 + 56
The order of operations requires the multiplication be done first.
= 4 + 10 + 200 + 56
The addition is done left to right.
= 14 + 200 + 56
= 214 + 56
= 270

Answer:

270

Step-by-step explanation:

2*2+10+200+56=270

What is the first derivative of 3\sqrt[3]{x^4}-12\sqrt[3]{x}?

Answers

[tex]\bf y=3\sqrt[3]{x^4}-12\sqrt[3]{x}\implies y=3x^{\frac{4}{3}}-12x^{\frac{1}{3}} \\\\\\ \cfrac{dy}{dx}=3\left( \frac{4}{3}x^{\frac{1}{3}} \right)-12\left( \frac{1}{3}x^{-\frac{2}{3}} \right)\implies \cfrac{dy}{dx}=4x^{\frac{1}{3}}-4x^{-\frac{2}{3}} \\\\\\ \cfrac{dy}{dx}=4\sqrt[3]{x}-\cfrac{4}{\sqrt[3]{x^2}}[/tex]

vita wants to center a towel bar on her door that is 27 1/2 inches wide . she determines that the distance from each end of the towel bar to the end of the door is 9 inches. write and solve an equation to find the length of the towel bar

Answers

The length of the towel bar is 9.5 inches.

Explanation

Suppose, the length of the towel bar is  [tex]x[/tex] inches.

The distance from each end of the towel bar to the end of the door is 9 inches. So, the total width of the door will be:  [tex][x+(9*2)] = (x+18)inches[/tex]

Given that, the width of the door is [tex]27\frac{1}{2}[/tex] inches or 27.5 inches. So, the equation will be........

[tex]x+18=27.5\\ \\  x=27.5-18= 9.5[/tex]

Thus, the length of the towel bar will be 9.5 inches.

Final answer:

Vita can center the towel bar on her 27 1/2-inch wide door by ensuring it is 9.5 inches long. This is done by deducting the combined distances from the ends of the towel bar to the door edges (18 inches) from the total width of the door.

Explanation:

Vita wants to find the length of the towel bar that she wants to center on a door that is 27 1/2 inches wide, with the distance from each end of the towel bar to the end of the door being 9 inches. To solve for the length of the towel bar, we denote the length of the towel bar by x. Then, we can set up an equation where the sum of the distances from both ends of the towel bar to the door edges and the length of the towel bar itself equals the width of the door.

The equation will be:

9 inches + x + 9 inches = 27 1/2 inches

We combine the known distances to simplify the equation:

18 inches + x = 27 1/2 inches

To find x, we subtract 18 inches from both sides of the equation:

x = 27 1/2 inches - 18 inches

Converting 27 1/2 inches to a decimal, we have 27.5 inches. Thus:

x = 27.5 inches - 18 inches

x = 9.5 inches

Therefore, the length of Vita's towel bar should be 9.5 inches long to be centered on her 27 1/2-inch wide door.

A 8920 note is signed for 160 days at a rate of 6.5% find the proceeds

Answers

If it is a simple interest note, the proceeds are $8920.

If the note is dicounted, the proceeds will be 8920 less the interest due.
.. P(1 -rt)
.. = 8920*(1 -0.065*160/360) = 8662.31
The proceeds on a discounted note are $8662.31.

_____
If "exact" interest is used, then t=160/365 and the proceeds are 8665.84.

Find the odds in favor of rolling a two of a kind when rolling a pair of dice

5 to 1
3 to 1
1 to 5
1 to 3

Answers

I think the answer to this question is 5 to 1 and 3 to 1 .I think these are the odds. .

morgan cut exactly 35 strips of wood from a larger piece of wood.Each strip of wood was 2.45 centimeters long.How long was the larger piece of wood?

Answers

Hello!

So, Morgan cut a large piece of wood into 35 smaller strips of wood. Each strip was 2.45 centimetres long. Mutliply:

35 × 2.45 = 85.75

ANSWER:

The larger piece of wood was 85.75 centimetres long.

The larger piece of wood was 85.75 centimeters long based on multiplying the number of strips by the length of each strip.

To find out how long the original piece of wood was, we need to multiply the number of strips by the length of each strip.

Given:
Number of strips: 35
Length of each strip: 2.45 centimeters

Step-by-Step Solution:

Multiply the number of strips by the length of each strip to get the total length: 35 strips * 2.45 cm = 85.75 cm

Therefore, the larger piece of wood was 85.75 centimeters long.

If a number is divisible by 2, then it is even. What is the inverse of this statementWhat is the inverse of this statement?

If a number is divisible by 2, then it is not even.
If a number is not divisible by 2, then it is not even.
If a number is not divisible by 2, then it is even.
If a number is even, then it is divisible by 2.




























Answers

Final answer:

The inverse of the statement "If a number is divisible by 2, then it is even" is "If a number is not divisible by 2, then it is not even." According to logical operations in mathematics, an inverse involves both swapping and negating the components of the original statement.

Explanation:

In the field of mathematics, the inverse of a statement swaps both the hypothesis and the conclusion, and applies a negation to them. The original statement given is, "If a number is divisible by 2, then it is even". The inverse of this statement switches and negates the components, resulting in: "If a number is not divisible by 2, then it is not even". Therefore, the second provided option is the correct one.


Learn more about Inverse here:

https://brainly.com/question/5338106

#SPJ12

At 7:45 a.m. Mike began walking to school. He arrived at his school at 8:20 a.m. How long did it take him to walk to school?
A. 15 minutes
B. 25 minutes
C. 35 minutes
D. 40 minutes
E. 65 minutes

Answers

c, 35. if you add 15 to 7:45 that’ll get you to 8, then you just add 20.
Hello there!

7:45+15=8:00 = 15:00 minutes so far.

8:00+20= 8:20= 20+15= 35.

Your correct answer would be (option c).

35 is your answer!

help!
Twenty seventh grade students are polled about which of three ice cream flavors they prefer. If one student is picked at random, which of the following tables represents vanilla as an event that is likely?

Answers

Hi there!

B would be the answer, because, as you can see, B's rate in vanilla is much higher than any of the other charts, and the difference between each number on the chart is greater as well.

Hope this helps!

The coordinates of the vertices of trapezoid EFGH are E(-8, 8), F(-4, 12), G(-4, 0), and H(-8, 4).  The coordinates of the vertices of trapezoid E’F’G’H’ are E’(-8, 6), F’(-5, 9), G’(5, 0), and H’(-8, 3).

 

Which statement correctly describes the relationship between trapezoid EFGH and trapezoid E’F’G’H’?

 

a)     Trapezoid EFGH is congruent to trapezoid E’F’G’H’ because you can map trapezoid EFGH to trapezoid E’F’G’H’ by reflecting it across the x-axis and then translating it up 14 units, which is a sequence of rigid motions.

b)     Trapezoid EFGH is congruent to trapezoid E’F’G’H’ because you can map trapezoid EFGH to trapezoid E’F’G’H’ by translating it down 2 units and then reflecting it over the y-axis, which is a sequence of rigid motions

c)     Trapezoid EFGH is congruent to trapezoid E’F’G’H’ because you can map trapezoid EFGH to trapezoid E’F’G’H’ by dilating it by a factor of 34 and then translating it 2 units left, which is a sequence of rigid motions

d) Trapezoid EFGH is not congruent to trapezoid E’F’G’H’ because there is no sequence of rigid motions that map trapezoid EFGH to trapezoid E’F’G’H’.

Answers

Answer:

D

Step-by-step explanation:

1) We have and isosceles trapezoid DEFG and and another trapezoid D'E'F'G' dilated.

2) E'F'G'H' is not congruent to EFGH (due to its legs) Besides that, E'F'G'H has undergone not to rigid motions. Rigid motions are better known as translations and rotations and they preserve length and angles. That was not the case.

(Check graph 2)

3) So it's d, the only correct choice:

d) Trapezoid EFGH is not congruent to trapezoid E’F’G’H’ because there is no sequence of rigid motions that map trapezoid EFGH to trapezoid E’F’G’H’.

The pyramid shown has a square base that is 18 inches on each side. The slant height is 16 inches. What is the surface area of the pyramid?

Answers

The formula for the surface area S of a square pyramid with side length s and slant height h is
.. S = s(s +2h)

Your pyramid will have area
.. S = (18 in)*(18 in +2*16 in)
.. S = (18 in)*(50 in)
.. S = 900 in²

Answer:

txt

Step-by-step explanation:

one inch equals to 2.54 cm. Write an equation for the length x, in inches, that equals to 15 cm

Answers

You would do 2.54 times 15 which is 38.1. Your answer would be 38.1 cm. Hope this helps! Happy Studying!

Final answer:

To convert 15 cm to inches, use the conversion factor 1 inch = 2.54 cm and set up a proportion. Solve for x to find that 15 cm is approximately equal to 5.91 inches.

Explanation:

To write an equation for the length x, in inches, that equals to 15 cm, we can use the conversion factor 1 inch = 2.54 cm. We can set up a proportion to solve for x:

1 inch/2.54 cm = x inch/15 cm

Cross multiplying, we get:

2.54x = 15

Dividing both sides by 2.54, we find that x = 5.91 inches.

A woman borrows $6,000 at 9% compounded monthly, which is to be amortized over 3 years in equal monthly payments. for tax purposes, she needs to know the amount of interest paid during each year of the loan. find the interest paid during the first year, the second year, and the third year of the loan. [hint: find the unpaid balance after 12 payments and after 24 payments.

Answers

434.37 per year. 1,303.11 total interest

wade is 6 years older than Mariah in 8 years the sum of their ages will be 80 how old is Wade now

Answers

I don't know if I am right, but the answer is 35.

Wade:35
Mariah:29
(35+8)+(29+8)=80
35-29=6
Well if you subtract 8 from the total sum 80 you’ll be left with 72 and since you have two people divided 72/2 = 36 their both 36 at that step but wades older by 6yrs so then you subtract 6 from Mariah and add 6 to Wade. So now Mariah is 30 and Wades 42 add those together and add 8 or add 8 to either of their ages to check you answer.

Yul and Sarah's art class started at 11:25 A.M.The class lasted 30 minutes. Yulieft when the class was done. Sarah stayed an extra 5 minutes to talk with the teacher and then left. Write the time that each student left.Explain how you found each time.

Answers

We know that class starts 11:25 AM (be sure to note that there are only 60 minutes in an hour).
We know that class lasts 30 minutes.

First of all, let's find the time class ends.
11:25 AM (class starts) + 00:30 (minutes) = 11:55 AM (class ends)

Let's start with Yul's time first.
We know that Yul left when class was done, the time was already calculated when we added the time the class started with the time the class lasted and we got (in the previous line) 11:55 AM was when class ended, therefore, Yul left at 11:55 AM.

Sarah stayed an extra 5 minutes.
Class ended 11:55 AM. Simply add 5 minutes (00:05) to 11:55 AM.
11:55 AM (time class ended) + 00:05 (extra time to talk with the teacher) = 12:00 PM. Therefore, Sarah left at 12:00 PM.

As stated in the beginning of this problem, each hour only lasts 60 minutes, not 100 minutes, so every time the minutes are at the 60 tick mark, a new hour starts (in this case, 12:00 PM).

Yul left at 11:55 AM.
Sarah left at 12:00 PM.

Yul left the class at 11:55 A.M. after it ended, having added 30 minutes to the start time. Sarah stayed for an extra 5 minutes, which implies she departed at 12:00 P.M.

Yul and Sarah's art class started at 11:25 A.M. and it lasted 30 minutes. To find out when Yul left, we simply add 30 minutes to the starting time. Starting at 11:25 A.M., after 30 minutes, it will be 11:55 A.M. That's when Yul left the class.

Sarah stayed an additional 5 minutes after the class to talk with the teacher. So, we add those 5 minutes to the time Yul left, which was 11:55 A.M. If we add 5 minutes to 11:55 A.M., it becomes 12:00 P.M. Therefore, Sarah left the class at noon.

How many pennies are in $578

Answers

We know that there are 100 pennies in 1 dollar, so to find how many pennies in $578 we need to multiply by 100

578 x 100 = 57,800
57,800 pennies


Sandy is driving cross country. She has covered 200 miles from the east coast towards the west coast. She has driven this distance in 2 days.

If Sandy continues to drive at this rate, which equation represents the total number of miles , m, she would cover in d more days?

A
m=2d

B
m=100d+200

C
m=300d

D
m=200d+100

Answers

I would say the answer is B. m=100d+200
Hope this helps you

Positive linear relationships are represented by values of the correlation, r, that are _____.

Answers

the answer is greater than zero. hope this helped

The standard form of the equation of a circle is (x−5)2+(y−6)2=1.
What is the general form of the equation?
x2+y2−10x−12y+60=0

x2+y2−10x−12y−62=0

x2+y2+10x+12y+62=0

x2+y2+10x+12y+60=0

Answers

Answer:

(A)[tex]x^2+y^2-10x-12y+60=0[/tex]

Step-by-step explanation:

The standard form of the equation of a circle is given as:

[tex](x-5)^2+(y-6)^2=1[/tex]

Simplifying the above given equation, we get

[tex]x^2+25-10x+y^2+36-12y=1[/tex]

[tex]x^2+y^2-10x-12y+36+25=1[/tex]

[tex]x^2+y^2-10x-12y+61=1[/tex]

[tex]x^2+y^2-10x-12y+60=0[/tex]

which is the required general form of the equation.

Hence, option A is correct.

What is the volume of a sphere with a radius of 5 cm
Use 3.14 for pie

Answers

The volume of a sphere with a radius of 5cm is V≈523.6
[tex]\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\qquad \boxed{r=5}\implies V=\cfrac{4\pi (5)^3}{3}[/tex]

What is 36j + j

please help and explain if you can!!! :)

Answers

36j + j = 37j

Explanation.
You could translate this sum into a normal sebtence: I have 36 apples and add 1 apple more.

The sum will then be 36 apples + apple = 37 apples.
Replacing the word (in this explanation 'apple') by a letter learns us 36a + a = 37a

Hence 36j + j = 37j

this picture shows a magnified view of a tick on a penny. about how long is the tick

Answers

I believe it is a. According to the web

Each morning, the employees in an office drink at least 73 cups of coffee. Write an inequality that represents this situation. Let c represent the number of cups of coffee.
An inequality is???????

Answers

Is at least. No more than 73 but can be equal to 73
73 less than equal C
73< C
-
I don’t have that sign on my phone.

Li wants buy a jacket is originally Price at $65.00. Today the store is advertising the jacket for 40°/° off the original price.

Answers

The Jacket will be $26 cheaper. 
65-26=39

$39 final price

Hope this helps :)
65-40%=39

The new price is $39.00

Gabriela buys a basketball for $78 and a soccer ball for $32 she must pay 8.5% sales tax. What is the total amount she must pay?

Answers

Hello!

Add the costs of the basketball and the soccerball together:

78 + 32 = 110

Next, Gabriella must pay 8.5% sales tax. Sales tax is money collected by the government, so it is added onto the purchase.

First, we must find what 8.5% of 110 is. To do that, convert the percentage to a decimal by dividing it by 100, then multiply the total cost of the two balls by the decimal.

8.5% ÷ 100 = 0.085

110 × 0.085 = 9.35

Finally, add the sales tax to the cost of the two balls:

110 + 9.35 = 119.35

ANSWER:

The total amount Gabriella will pay is $119.35.

Final answer:

To find the total amount Gabriela must pay for the basketball and soccer ball including sales tax, add the cost of the items, convert the tax rate to a decimal, calculate the tax amount, and then add it to the subtotal for a total of $119.35.

Explanation:

To calculate the total amount Gabriela must pay after purchasing a basketball for $78 and a soccer ball for $32 with an 8.5% sales tax, we need to follow these steps:

Firstly, we calculate the subtotal by adding the price of the basketball and the soccer ball: $78 + $32 = $110.

Next, we convert the sales tax rate from a percentage to a decimal by dividing by 100: 8.5% ÷ 100 = 0.085.

Then, we calculate the total sales tax by multiplying the subtotal by the sales tax rate: $110 × 0.085 = $9.35.

Lastly, we add the sales tax to the subtotal to find the total amount Gabriela must pay: $110 + $9.35 = $119.35.

Therefore, after including the sales tax, the total amount Gabriela must pay is $119.35.

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