If a = 7 and b = 11, what is the measure of ∠B? (round to the nearest tenth of a degree) A) 32.5° B) 39.2° C) 50.5° D) 57.5°

Answers

Answer 1

Answer:

D) 57.5°

Step-by-step explanation:

As the question is not complete. So, let's suppose it is a right angle triangle then, we can apply Pythagoras theorem to calculate the hypotenuse or the third side.

Pythagoras Theorem = [tex]c^{2}[/tex] = [tex]a^{2} + b^{2}[/tex]

a = 7 and b = 11

[tex]a^{2}[/tex] = 49

[tex]b^{2}[/tex] = 121

Plugging in the values, we will get:

[tex]c^{2}[/tex] = 49 + 121

[tex]c^{2}[/tex] = 170

c = [tex]\sqrt{170}[/tex]

To calculate the unknown angle B, we can use law of sine.

Law of sine = [tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]

So,

[tex]\frac{c}{sinC}[/tex] = [tex]\frac{b}{sinB}[/tex]

[tex]\frac{\sqrt{170} }{sin90}[/tex] =  [tex]\frac{11}{sinB}[/tex]

Sin90 = 1

sinB = [tex]\frac{11}{\sqrt{170} }[/tex]

B = [tex]sin^{-1}[/tex] ([tex]\frac{11}{\sqrt{170} }[/tex])

B = 57.5°


Related Questions

Which of the expressions below will have a remainder? Select all that apply.
A) 6,450÷5
B) 4,188÷8
C) 3,488÷7
D) 1,286÷6 PLS HELP DUE TODAY DON"T WANT AN F
IF U ANSWER DIS FIRST YOU"LL GET 12 POINTS :D

Answers

Answer:

Im pretty sure its C and D

Answer: B, C, and D.

Step-by-step explanation:

4,188 divided by 8 equals 523 with a remainder of 4.

3,488 divided by equals 498 with a remainder of 2.

1,286 divided by 6 equals 214 with a remainder of 2.

Your department manufacturers 2,150 thermostats in one work and 25 are defective and discarded how many theremostats did your department contribute to inventory for the work

Answers

Answer:

2125

Step-by-step explanation:

2150-25=2125

2x^2+x-6=0 solution(s)?

Answers

Answer:

x=-2 and 3/2

Step-by-step explanation:

Can anyone help me I want to copy the answer down so I know how to solve it❤️

Answers

9514 1404 393

Answer:

  t = 4°

Step-by-step explanation:

As in any triangle, the sum of angles is 180°.

  17t + 16t + 12t = 180°

  45t = 180° . . . . . collect terms

  t = (180/45)° . . . . divide by the coefficient of t

  t = 4°

The value of a stock increases 14 2/3 points twice in one week. The other three days the value decreases by 10 points, 8 1/3 points, and 12 2/3
points. By how many points did the value of the stock change that week?
A .2/3 points
B .1/3 points
C.-1 1/3points
D. -1 2/3 points

Answers

Answer:

the answer is c.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

i just did that qwesten on math xl

Which graph has an x-intercept of -2 and a y-intercept of 4?

Answers

Answer:

The first graph

Step-by-step explanation:

the first graph crosses through -2 on the x-axis and 4 on the y-axis

The required graph that shows an x-intercept of -2 and a y-intercept of 4 is graph A. Option A is correct.

What is the intercept in the equation?

In the equation intercept is the value of the linear function where either of the variables is zero.

Here,
X intercept is the value of the line where y ordinate is zero, from observation it is found that graph A has x intercept of -2 and y-intercept of 4.

Thus, the required graph that shows an x-intercept of -2 and a y-intercept of 4 is graph A. Option A is correct.

Learn more about slopes here:
https://brainly.com/question/3605446

#SPJ2

ABC congruent DEF find the measure of the given angles or the lengths of the given sides​

Answers

Answer:

BC = 8 and EF = 8

Step-by-step explanation:

Congruent triangles have equal angles, equal sides, equal perimeters, and equal areas.

Let us solve the question

∵ The two triangles ABC and DEF are congruent

BC = EF

∵ BC = 3z + 2

∵ EF = z + 6

→ Equate their length

3z + 2 = z + 6

→ Subtract z from both sides

∵ 3z - z + 2 = z - z + 6

∴ 2z + 2 = 6

→ Subtract 2 from both sides

∵ 2z + 2 - 2 = 6 - 2

∴ 2z = 4

→ Divide both sides by 2

z = 2

→ Substitute z by 2 in the length of sides BC and EF to find them

∵ BC = 3(2) + 2 = 6 + 2

BC = 8

∵ EF = 2 + 6

EF = 8

HELPP! I need the answer quick .

Answers

Answer:

See below.

Step-by-step explanation:

The point needs to be 8 on the x-axis and -8 on the y-axis.

5/9 of the students in a group are male.
5/6 of the female students in the group are right-handed.
Find the smallest possible number of students in the group.
(2 marks)

Answers

Answer:

18

Step-by-step explanation:

18 is the smallest number that is wholly divisible by 9 and 6.

The smallest possible number of students in the group is 18.

Given that,

5 by 9 of the students in a group are male. 5 by 6 of the female students in the group are right-handed.

Based on the above information, we can say that 18 is the number that should be divisible by 9 and 6.

Learn more: brainly.com/question/16911495

please help!!!!!!!!!!!! !!!

Answers

i think the answer is c

Solving two-step inequalities is much like solving two-step equations. Use
inverse operations to
solve each of the following inequalities.
5x + 8.5 > - 10.3
2x - 10 < 80

Answers

Answer:

1) x>-3.76 2) x<45

Step-by-step explanation:

1) 5x+8.5>-10.3

Isolate the variable

Combine like terms/ subtract 8.5 from both sides

5x>-18.8

Divide by sides by 5

x>-3.76

Remember, if we were dividing or multiplying by a negative number, we would switch the inequality sign, but here we do not.

2) 2x-10<80

Isolate the variable

Combine like terms/ add 10 to both sides

2x<90

Divide both sides by 2

x<45

PLEASE HELP

What is the value of f (4) if f (x) = 3x - 10? A. -3 B. -2 C. 2 D. 7

Answers

Answer:

f(3)=5. Explanation: Simply substitute the value of 3 given. In other words, f(3) is the function of f(x) , however, in this case, x is 3. f(3)=3(3)−4. Distribute 3 through

Jose has six pieces of cardboard to make a triangle frame for a diorama. The lengths are 2 inches, 3 inches, 4 inches, 5 inches, 6 inches, and 7 inches. Which combination will form a triangle?

Answers

6 and 2 I think lol good luck

The  possible combination of sides of triangles is

(2 + 3) >4(3 + 4)> 5(5+ 6)>7What is Property of Triangle?

In a triangle, the third side must be greater than or equal to the sum of the other two sides. The length of a triangle's third side is always longer than the sum of any two of its sides.

Given sides are 2 inches, 3 inches, 4 inches, 5 inches, 6 inches, and 7 inches.

We know that the third side of a triangle is greater than sum of other two sides.

So, (2 + 3) >4

and, (3 + 4)> 5

and, (5+ 6)>7

Hence, the possible combination of sides of triangles is

(2 + 3) >4(3 + 4)> 5(5+ 6)>7

Learn more about triangles here:

https://brainly.com/question/2773823

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plllzz hellpppp meeeee thhhhxx

Answers

most likely it’s x=7 unless there are other options you didn’t show
I also think it’s x=7

Please help fast i need this done

Answers

The image is blurry

Will mark Brainliest! How many pounds of apples would you need to make 20 cups of applesauce?

Answers

Answer:

You would need 16 pounds of apples!

Step-by-step explanation:

The table goes up by 3 for pounds of apples so you would do 10+3 which equals 13 and then add another three to get 16! Hope this helps.

which x-values make the ordered pair (x, -6) a solution of the system of inequalities represented by the graph below?


A) -4 < x < 0
B) -4< x < 0
C) -4 ≤ x < 0
D) -4 ≤ x ≤ 0

Answers

Answer:

C) -4 ≤ x < 0

Step-by-step explanation:

the x-values make the ordered pair (x,-6). the solution of inequalities represented by the graph gives the solution -4 ≤ x < 0

linear equation: 5x-7=53

Answers

5x - 7 =53 5x-7+7=53+7 Simplify and your answer will be X = 12

The leadership class starts a campaign to change the school mascot. The school principal has agreed to change the mascot if two-thirds of the student body plus 1 additional student vote for the change. The required number of votes is 255. How many students attend the school? (Please also write the equation)

Answers

Answer:

254/2=127

127*3=381

381+1=382

Step-by-step explanation:

254/2 because 2/3 of the students is 254 and this is to simplify it

127*3 because 127 is 1/3 of the total number of students so 127*3 would be 3/3 of the students or all of them

381+1 because we had to take out 1 of the students because there was an aditional vote so we add him back in

The Answer Is: 382

Equation: (254/2)*3+1

What is the equation of the line that passes through the point (-5, -2) and has a
slope of -6/5

Answers

Answer:

Step-by-step explanation:

you are given the slope m = -6/5 and one point (x1,y1) as (-5,-2)

next use  the point-slope formula [y-y1 = m(x-x1) ] and plug in the point and the slope

y-(-2) = -6/5(x-(-2))    ( they are making this tuff with all the minus signs :/ )

y+2 = -6/5(x+2)         ( nice looks better, distribute the -6/5 )

y + 2 = -6/5x -12/5    (move the 2 over )

y = -6/5x - 12/5 -2      ( 2 = 10/5 )

y = -6/5x -12/5 - 10/5    (add the fractions )

y = -6/5x -22/5    

that's in the form of the slope-intercept now  [ y = mx + b ] so you're done :)

2
3) Last week, the price of gasoline was $3
per gallon. This week, the price fell to
$2.85 per gallon. By what percent did the
price of gasoline drop week over week?
Solve using an equation.

Answers

Answer:

decrease by 5%

Step-by-step explanation:

2.85 - 3 = -0.15

-0.15/3 = -0.05

-0.05 x 100 = -5%

PLLLZZZZZZ HELPPPP FASTTTTTT

Answers

Answer:

I think it's the y-function. Are there any choices to choose from?

Step-by-step explanation:

Answer:

They increase at the same rate

Step-by-step explanation:

If you look at linear function p, the equation is y=3x-6

Which type of quadrilateral is the figure below?


Select the best answer from the choices provided.
A.
trapezoid
B.
parallelogram
C.
rhombus
D.
concave quadrilateral

Answers

9514 1404 393

Answer:

  A.  trapezoid

Step-by-step explanation:

The missing angle U is 86°, the value that makes the total be 360°. Then the top two angles total 180°, as do the bottom two angles. This means sides SV and TU are parallel, but sides UV and ST are not.

The figure has one pair of parallel sides, so is a trapezoid.

__

A concave quadrilateral has a reflex angle. This figure does not.

If you are looking for a braniliest, if you get this right I will give one.

The question is, what app always says “gg”or “:)”

Answers

Answer:

amoung us

Step-by-step explanation:

Answer:

among us

Step-by-step explanation:

Use function notation to represent each statement:
At 1 p.m., there were 257 visitors in the museum.

Answers

Answer:

f(1) = 257

Step-by-step explanation:

x-variable: 1 (time is the independent variable)

y-variable: 257 (number of visitors is the dependent variable)

When the time is at 1 (1pm), there are 257 visitors

Out of 1800 flags, 36 are purple. What percent of the flags are not purple?

Answers

Answer:

2% are purple

Step-by-step explanation:

36/1800 = 0.02 = 2%

Answer:

I think...

its 98% of the flags that are NOT purple

Step-by-step explanation:

36 of 1800 is 2%

a stockbroker charges customers $30 to open an account and $15 per month to manage the account. write an equation to represent the number of months, n, an account has been open if the total cost is $360​

Answers

30+15n=360 would be your answer

Which linear function represents the line given by the point-slope equation y + 1 =-3(x – 5)?

Answers

Answer:

f(x)= -3x+14

Step-by-step explanation:

the question gives you

f(x)+1=-3(x-5)

the first thing you want to do is distribute the -3 to the (x-5)

f(x)+1=-3x+15

then you going to subtract the 1 and move it to the other side

f(x)=-3x+14

The mean temperature for the first 4 days in January was 3°C.
The mean temperature for the first 5 days in January was 1°C.
What was the temperature on the 5th day​

Answers

Answer:

it is 4 C

Step-by-step explanation:

because it is the first 4 days of January and it was 3C and on the 5 day it was 1C add it up and you will get 4C

Write an equation of the line with a slope of −3 and y-intercept of 0.

Answers

Answer:

y = -3x

Step-by-step explanation:

Substitute the numbers into the point-slope form equation:

y - 0 = -3(x - 0)

y = -3x

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