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

A line passes through the points (-1, 2) and (7,6). What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.​

Answers

Answer:

[tex]y = \frac{1}{2} x + \frac{5}{2} [/tex]

Step-by-step explanation:

hope this helps!

Evaluate

2
6

Please could someone help me with this Thankyou

Answers

Is it 6 to the power of 2. If it is, it equals 36 and is found by using the calculation “6x6”

Answer:

if it is 6 to power 2 then it is 36

Paige was planting a garden. She planted 1/3 of her garden with roses, 3/6 of her garden with daisies and the rest of the garden with tulips. What fraction of the garden was tulips?

Answers

Answer:

1/6

Step-by-step explanation:

Let the total number of flowers planted be 1

Given

Number of roses = 1/3

Fraction of daises = 3/6

Required

Fraction of tullips

Fraction of tullips = 1-(1/3+3/6)

Fraction of tullips = 1-(2+3/6)

Fraction of tullips = 1-5/6

Fraction of tullips = 1/6

Hence the fraction of tulip left is 1/6

5.
The model represents the equation 3x - 2<4.
11:00 - 0000
What is the solution for this inequality?
Oxx-2
0x<-3
0x<6
0x<2
Copyright 2020
O
O

Answers

Answer:

Solving the inequality [tex]3x -2 < 4[/tex] we get [tex]\mathbf{x<2}[/tex]

Option D is correct option.

Step-by-step explanation:

We need to solve the inequality [tex]3x -2 < 4[/tex] and find value of x

Solving the inequality for finding value of x, we will keep x on left side of inequality and all other terms on the right side.

[tex]3x -2 < 4[/tex]

Adding 2 on both sides

[tex]3x -2+2 < 4+2\\3x < 6[/tex]

Now, we will divide 3 on both sides

[tex]\frac{3x}{3}<\frac{6}{3}\\x<2[/tex]

So, we get x < 2

Solving the inequality [tex]3x -2 < 4[/tex] we get [tex]\mathbf{x<2}[/tex]

Option D is correct option.

Can someone help with this

Answers

Answer:

The 3rd one

Step-by-step explanation:

HELP HELP PLEASE ASAP

Answers

The second in I’m pretty sure

Find the measure of QA

Answers

Answer:

28

Step-by-step explanation:

3x+16=7x because they are the same length.

4x=16

x=4

Place x in 3x+16

12+16

28

-8 = -19 + C
plz answer this

Answers

Answer:

c = 11

Step-by-step explanation:

-8 = -19 + 11

what is the slope of the line that passes through the pair of points (5,-2) (0,-1)

Answers

Answer:

-(1/5)

Step-by-step explanation:

The slope is the Rise/Run between the two points (5,-2) and (0,-1):

Rise = -1 - (-2) = 1

Run = 0 - 5 = -5

Slope = Rise/Run = 1/-5 or -(1/5)

Point (0,-1) tells us that the y-intercept, b, is -1, so the full equation is:

 y = -(1/5)x - 1

Share £300 in the ratio 1:2:3

Answers

Answer:

ope

Step-by-step explanation:

Answer:

50:100:150

Step-by-step explanation:

3+2+1=6

300/6=50

50 X 1 = 50

50 X 2 = 100

50 X 3 = 150

So, 1:2:3 = 50:100:150

The graph shows the relationship between the number of pounds of pears purchased and the total cost of pears.

Answers

Answer: $1.75

Step-by-step explanation:

multiply 2 x (-21) x 7

Answers

The answer is -294.
the answer is -294 i think because you multiply -21 by 2 which would give you -42 and then you multiply it by seven which gives you -294

Find the degree of the term -5x to the power of 4

Answers

Answer:

4 or -625x^4 (Just in case I misunderstood)

Step-by-step explanation:

The degree is always the power of something. Since -5x has a power of 4, its degree is 4.

Just in case I misunderstood the question, I will solve it another way that I think you meant. (-5x)^4 is -5^4 times x^4.

-625 times x^4 is -625x^4.

Predict what the products would be in the following double displacement reaction:
KBr + AgNO3---->____ + ____

Answers

KBr + AgNO3 --------> KNO3 + AgBr

It is Double displacement reactions ( means ions exchange take place)

When potassium bromide react with silver nitrate then,products came out are potassium nitrate and silver bromide.

convert 17 kilometers to the nearest whole mile

Answers

Answer:

11miles

Step-by-step explanation:

1mile≈1,61km

so 17/1,61=10,56≈11miles

Answer:

10.56 (rounded)

(whole number is 10.5633)

Step-by-step explanation:

1 kilometer = 0.62 miles (rounded)

Multiply it by 17

=10.56 (rounded)

(whole number is 10.5633)

Bananas cost $0.75 per pound. Use an equation to determine the cost of 9 pounds. a) $9.75 b) $16.50 c) $6.75 d) $7.50​

Answers

Answer: C) $6.75

Step-by-step explanation:

Each banana is $0.75 per pound and there’s 9 pounds. 0.75 times 9 is 6.75.

HELLLPPPPPPPPPPPPPPPPPPP

Answers

Wouldn’t it be 2? I think maybe

Answer:

[tex]512x^1^8[/tex]

Step-by-step explanation:

[tex](8x^6)^3\\(8)^3 = 8 * 8 * 8\\(x^6)^3 = x^(^6^*^3)\\= 512x^1^8[/tex]

Michael is buying new shirts and pants for school. He bought shirts for $38 each and pants for $38 each. He purchased nine items and spent a total of $222. How many shirts did he buy?

Answers

Answer:

No possible solution

Step-by-step explanation:

Let:

Shirt = x

Pant = y

x + y = 9 - - - - - - - - - (1)

38x + 38y = 222 - - - (2)

From (1):

y = 9 - x

Put y = 9 - x in (2)

38x + 38(9 - x) = 222

38x + 342 - 38x = 222

Based on the Given parameters, we can conclude that the equation does not have a possible solution.

plz help me ..!!!!!!​

Answers

answer should be G) (2,4,6,8)

Find the values of the numbers below. Type the answers in the boxes below.
∣∣1114∣∣ =

Answers

Answer:

-1114

Step-by-step explanation:

the lines are absolute value of the number on the inside

so the first 2 lines would equal 1114

but since there are 2 more lines its the opposite of 1114 which is -1114.

Hope this helps

Have a amazing day!

please help me !:( it’s due at 8:30

Answers

Answer:

y=-4x+5

Step-by-step explanation:

Let us first find the slope.

Given the points, (0,5) and (1,1) The slope of the line is (5-1)/(0-1)=

4/-1=

-4

The line also intercects the y axis at (0,5) Therefore, the b intercept would be 5

The final equation would be,

y=-4x+5

I hope this helps! :)

Answer:

y = -4x + 5

hope this helps !! have a fantastic day :))

A new health drink has 140% of the recommended daily allowance
(RDA) for a certain vitamin. The RDA for this vitamin is 30 mg. How
many milligrams of the vitamin are in the drink?
There are
mg of the vitamin in the drink.

Answers

42

Step-by-step explanation:

first we have to find out 40% of 30 which is 12 because 15 is 50% and 27 is 90% Wich would get us 12 with 40% percent then you would take 30 and add 12 which would lead you with 42

Help me please Im the big not smart

Answers

Answer:

Step-by-step explanation:

A set of middle school student heights are normally distributed with a mean of 150150150 centimeters and a standard deviation of 202020 centimeters. Let XXX represent the height of a randomly selected student from this set. Find P(X<115)P(X<115)P, left parenthesis, X, is less than, 115, right parenthesis.

Answers

Answer:

0.04

Step-by-step explanation:

Given that :

Mean(m) = 150

Standard deviation (s) = 20

Find P(X<115)

Obtain the Zscore :

(x - m) / s

(115 - 150) / 20

P(X<115) = - 1.75

Using the Z probability calculator :

P(Z < - 1.75) = 0.040059

P(Z < - 1.75) = 0.04

Wilson paints 40% of a bookcase in 20 minutes how much more time will it take him to finish the bookcase?

Answers

Answer:

30 minutes

Step-by-step explanation:

First you can break down the percent and the time into a fraction

You can divide it by 2

so 2%/1   (2% in 1 minute)

Then you find the amount of time it would take to paint the whole bookcase

2 * 100 = 50

So time to paint the whole bookcase would be 50

50 - 20 = 30

Answer:

30 minutes

Step-by-step explanation:

He paints 40% of the bookcase in 20 minutes.

The rest of the bookcase is 100% - 40% = 60%.

60% of the bookcase still needs painting.

40% is to 20 minutes as 60% is to x minutes

40/20 = 60/x

Reduce the fraction on the left side.

2 = 60/x

Multiply both sides by x.

2x = 60

Divide both sides by 2.

x = 30

Answer: 30 minutes

Which of the following correctly uses absolute value to show the distance between –60 and 11?

A) |–60 – 11| = |–71| = –71 units
B) |–60 + 11| = |–49| = 49 units
C) |–60 + 11| = |–49| = –49 units
D) |–60 – 11| = |–71| = 71 units

Answers

Answer:

C) |–60 + 11| = |–49| = –49 units

Step-by-step explanation:

Answer:

that is cap the actual answer is 71 units

Step-by-step explanation:

Write the equation of the line that passes through the points (-6, -9) and (7, 7).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

[tex]\displaystyle y + 9 = \frac{16}{13} ( x + 6 )[/tex]

Step-by-step explanation:

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

Given a line passes through points A(x1,y1) and B(x2,y2), the slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (-6,-9) and (7,7), thus the slope is:

[tex]\displaystyle m=\frac{7+9}{7+6}=\frac{16}{13}[/tex]

Now we apply the point-slope formula using the point (-6,-9):

[tex]\mathbf{\displaystyle y + 9 = \frac{16}{13} ( x + 6 )}[/tex]

This equation is expressed in the required format

The equation of the line passing through the given points is required.

The equation of the line is [tex]y=\dfrac{16}{13}x-\dfrac{21}{13}[/tex]

The points are [tex](-6,-9)[/tex] and [tex](7,7)[/tex]

The equation is

[tex]y-y_1=\dfrac{\Delta y}{\Delta x}(x-x_1)\\\Rightarrow y+9=\dfrac{7+9}{7+6}(x+6)\\\Rightarrow y+9=\dfrac{16}{13}x+\dfrac{96}{13}\\\Rightarrow y=\dfrac{16}{13}x-\dfrac{21}{13}[/tex]

The equation of the line is [tex]y=\dfrac{16}{13}x-\dfrac{21}{13}[/tex]

Learn more:

https://brainly.com/question/1581995?referrer=searchResults

Solve for n:
n/3 + 10 = 16

Answers

Step-by-step explanation:

n/3+10=16

n/3=16-10

n/3=6

n=6/3

n=2

Find which ones are equivalent to 6/12 fractions.

Answers

Answer:

0.5 or 5/10

Step-by-step explanation:

Answer:

Equivalent Fractions for 6/12: There are infinity equivalent fractions to 612. See some examples: 12, 24, 36, 48, 510, 612, 714, 816, 918, 1020, 1122, 1224, 1326, 1428, 1530, 1632, 1734, 1836, 1938, 2040...

Step-by-step explanation:

i hope it's help you

Solve for x in terms of a and b: 2x + a = b

Answers

Answer:

x=a+b/2

Step-by-step explanation:

1. adding a to both sides

2. dividing both sides by 2

2x-a=b

2x=a+b

x=a+b/2

(not sure if correct but hope it helps!)

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