what are the exact values of a and b?

What Are The Exact Values Of A And B?

Answers

Answer 1

The exact value of a and b is 5 and 5√3 respectively. Thus option D) is correct

From triangle ABC
We have AB = 10 ; And angle A = 30°

What is trigonometry?

Trigonometry is the branch of mathematics that deal with study of triangles.

Now,
cos30= AC/AB
√3/2=b/10
b=5√3

Sin30 = BC/AB
1/2 = a/10
a = 5

Thus, the required value is a = 5, b = 5√3

Learn more about trigonometry here:

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Answer 2

Answer:

its the last option

Step-by-step explanation:




Related Questions

CAN I GET SOME HELP PLEASE?????
Brainliest??

Answers

Answer:

The answer is A

Step-by-step explanation:

Traingle ABC is congruent to traingle EFD by hl rule

Please help ! anyone know the answer :(

Answers

The answer is for this question is D

Answer:

[tex]\mathrm{C}[/tex]

Step-by-step explanation:

[tex]3-\frac{x}{2}\ge 15[/tex]

[tex]3-\frac{x}{2}-3\ge \:15-3[/tex]

[tex]-\frac{x}{2}\ge \:12[/tex]

[tex]-\frac{x}{2} \times 2 \ge \:12 \times 2[/tex]

[tex]-x\ge \:24[/tex]

[tex]x\le -24[/tex]

Where do the points of concurrency of certain types of triangles lie? The circumcenter of an obtuse triangle lies inside the triangle. The incenter of a right triangle lies the triangle. The point of concurrency of the angle bisectors of an acute triangle lies the triangle. The point of concurrency that is equidistant from the vertices of a right triangle lies the triangle.

Answers

Answer: can you add a picture

Step-by-step explanation:

PICTURE

Answer:

1.outside

2.inside

3.inside

4.on

Step-by-step explanation:

what is the gradient of the blue line Attachment below!!!!!!!!!!!

Answers

Answer:

-3 Or 3 it could be any one of them

Step-by-step explanation:

-3 or 3

Rise/run so an

The average reading score on a certain test is given by y=0.150x +255.34 where x is the number of years past 1970 . In what year would the average reading score be 259.24 if this model was accurate

Answers

Answer:

The average was 259.24 in 1996.

Step-by-step explanation:

In order to find the year that the average, "y", is 259.24 we need to apply this value on the given expression, as done below:

[tex]259.24 = 0.15*x + 255.34\\0.15*x = 259.24 - 255.34\\0.15*x =3.9\\x = \frac{3.9}{0.15}\\x = 26[/tex]

The average was 259.24 after 26 years, therefore it was in 1996.

please help you don’t need to explain this just tell me the right answer

Answers

Answer:the SAS similarity theorem

Step-by-step explanation:

which expression is not a polynomial?

Answers

Answer

A

Step-by-step explanation:

a polynomial only consist of multiplication, addition, and subtraction, and no division

Answer:

A

Step-by-step explanation:

i dont understand may i have some assitance

Answers

Answer:

For the first blank, let's see how many numbers are in between 5 and 10. This is 5 (the numbers are 5, 7, 6, 6, 8). The second blank is 8 (the numbers are 10, 12, 10, 14, 13, 11, 12, 12), the third blank is 6 and the fourth is 1.

For the first blank, let's see how many numbers are in between 5 and 10. This is 5 (the numbers are 5, 7, 6, 6, 8). The second blank is 8 (the numbers are 10, 12, 10, 14, 13, 11, 12, 12), the third blank is 6 and the fourth is 1

What is m E
45°
125°/F
80°
A
45°
D
125°
135°
B

Answers

Answer:

45° is the answer as to me check it ok

Find m4+ 1/m4 , if m− 1/m =3.

Answers

Answer:

119

Step-by-step explanation:

m - 1/m = 3

([tex](m-\frac{1}{m})^{2} = 9\\m^2 - 2 + \frac{1}{m^2} = 9\\ m^2 + \frac{1}{m^2}) = 11\\ \\[/tex]

[tex](m - \frac{1}{m}) ^4\\ = m^4 -4m^2 - \frac{4}{m^2} + 6 = 81\\ m^4 + \frac{1}{m^4} = 75 +4(m^2 + \frac{1}{m^2})\\ m^4 + \frac{1}{m^4} = 75 +4 * 11 = 119[/tex]

What is the final amount if 1885 is increased by 5% followed by a further 18% increase?
Give your answer rounded to 2 DP.

Answers

Answer:

Answer = 2,335.52

Step-by-step explanation:

Given amount : 1,885

Finding 5%  of 1,885 =  0.05 * 1,885

5% of 1885 = 94.25

Now 1885 increased by 5% =  1,885 + 94.25= 1,979.25

Finding further 18% of 1,979.25 = 0.18 * 1,979.25

18% of 1979.25 = 356.265

Final amount = 1,979.25 + 356.265

Final Amount = 2,335.515

Now Rounding off the answer to 2 decimal points we get:

Answer = 2,335.52

(As the third digit after decimal is 5 so previous will be added b 1)

Here is the histogram of a data distribution. All class widths are 1.
4
3-
2
1
What is the median of the distribution?

Answers

Answer: Option C, the median is 5.

Step-by-step explanation:

The median is the value that is just in the middle of our data set (the possible values in the histogram)

the set is S = {2, 3, 4, 5, 6, 7, 8, 9}

And if we take in account the number of times that each value is repeated, we get:

S = {2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 9}

So we have 17 values, and the one exactly in the middle will be the median.

To find the point in the middle, we can use that we have 17 values, because 17 is odd, we can do

17 - 1 = 16

16/2 = 8.

17 - 8 = 9.

Then the 9nth point is our median:

the 9th point is a 5.

Then the correct option is C

help please this is hard sheet attached

Answers

Answer:

88 cm²

Step-by-step explanation:

6*2*2+2*2= 28 cm² sides

6*3*2= 36 cm² top and bottom

3*4*2= 24 cm² front and back

28+36+24= 88 cm²

Answer:

[tex]6 \times 2 + 2 \times 2 = 28 \\ \\ 6 \times 3 \times 2 = 36 \\ \\ 3 \times 4 \times 2 = 24 \\ \\ 28 + 36 + 24 = 88cm {}^{2} [/tex]

Four friends’ typing speeds are shown. Who is the fastest? Monica: 10 words in 1 4minute Rachel: 55 words in 5 6minute Charlie: 42 words in 3 4minute Daniel: 25 words in 1 2minute

Answers

daniel: 25 words in 12 mins

Answer:

racheal

Step-by-step explanation:

Type the correct answer in each box. Use numerals instead of words. Based on the Pythagorean theorem, find the missing length for each of the given right triangles. Triangle EFG with side a = 9, side c = 41 and side b = . Triangle PQR with side a = 20, side b = 21 and side c = . Triangle XYZ with side b = 24, side c = 25 and side a = .

Answers

Answer: See below

Step-by-step explanation:

The Pythagorean Theorem is a²+b²=c². Since each problem gives us the length of a, b, or c, we can directly plug them into this equation and solve.

Triangle EFG

9²+b²=41²

81+b²=1681

b²=1600

b=√1600

b=40

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

Triangle PQR

20²+21²=c²

400+441=c²

c²=841

c=√841

c=29

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

Triangle XYZ

a²+24²=25²

a²+576=625

a²=49

a=√49

a=7

What is the surface area of the triangular prism? A triangular prism. The rectangular sides are 3 feet by 6 feet, 3 feet by 7.5 feet, and 3 feet by 4.5 feet. The triangular sides have a base of 6 feet and height of 4.5 feet.

Answers

Answer:

C. 81

Cause I did the math.

Answer:

81 or C.

Step-by-step explanation: i did the test

Which is the graph of f(x) = (2/3)^x

Answers

Answer:

Picture attached below.

Step-by-step explanation:

I hope it helps.

(n^9)^4(n^3) please help. 10 pts for answer

Answers

Answer:n^39

Step-by-step explanation:

im not sure what the question is but if you were asking what n was you multiply 9 by 4 to get n^36 then add 3 to get n root 39

Can anyone answer these? I’ll give you brainiest and 5 stars

Answers

Answer:

Step-by-step explanation:

2y^4 x 5y^3 = 10y^7

3gh^2 x 4g^3h^3 = 12g^4h^5

Answer:

1) 10y^7

2)12g^4h^5

Step-by-step explanation:

First just multiply numbers the rule is to add the exponents and if it doesn't show an exponent it should be 1 as an exponent so 2x5 is 10 and 4+3 is 7 so 10y^7 you do the same for the other one

Refer to the previous question.

Click on the numbers

question to another.

Which answer choice shows the correct calculation by using the Pythagorean Theorem for the distance of

between Elibri's apartment and Elibri's school, namely HE?

Answers

Answer:

|AC| = 4.47 units (question attached as image)

Step-by-step explanation:

The question lacks sufficient details. We wil however consider a similar example (image attached) to understand how to solve questions using Pythagoras theorem.

We will calculate for |AC| using Pythagoras theorem, we have:

|AC|² = |AB|² + |BC|²

|AC| = ?, |AB| = 4 units, |BC| = 2 units

|AC|² = 4² + 2² = 16 + 4

|AC|² = 20 ⇒ |AC| = [tex]\sqrt{20}[/tex]

|AC| = 4.472135955 ≈ 4.47

|AC| = 4.47 units

David worked 7 1/3 hours today and planted 11 trees. It takes him about the same amount of time to plant each tree. How long did it take him to plant each tree?

Answers

Answer:

2/3 hours or 40 mins.

Step-by-step explanation:

No. of trees planted by David = 11

No. of hours worked by David to plant 11 trees = 7 1/3 hours = (7*3 + 1) /3 = 22/3

It takes him about the same amount of time to plant each tree

let time taken to plan 1 tree be x

then  time taken to plan 1*11 tree = 11*x

But, given that total time taken is 22/3 hours

thus,

11x = 22/3 hours

x = 22/(3 *11) = 2/3

Thus, it took 2/3 hours to plant each tree.

As 1 hour has 60 minutes

Time taken in minutes to plant 1 tree = 2/3 *60 mins = 40 mins

It takes David 2/3 hours to plant each tree.

Since it takes David 7 1/3 hours today to plant 11 trees.

Therefore time taken to plant 11 trees = 7 1/3 hours = 22/3 hours

The time taken to plant each tree = 22/3 hours ÷ 11 trees = 2/3 hours per tree

Therefore it takes David 2/3 hours to plant each tree.

Find out more at: https://brainly.com/question/16869288

The point of tangency of line S to circle A is M.

True
False

Answers

The answer is false hope it helps !

Answer:

False!

Step-by-step explanation:

Just got this question on OW

if f(x)=x-7 and g(x)=x^3, find G(f(x))

Answers

Answer:

[tex](f*g)(x) = x^4-7x^3[/tex]

Step-by-step explanation:

[tex]f(x) = x-7\\g(x) = x^3[/tex]

Multiplying both would make

[tex](f*g)(x) = x^4-7x^3[/tex]

This is the answer.

The probability that any postcard posted in Portugal on Monday is delivered to the UK within a week is 0.62.
The probability that any postcard posted in Portugal on Friday is delivered to the UK within a week is 0.41.
Anna is on holiday in Portugal. She posts 15 postcards to the UK on Monday.
How many of her postcards can she expect to be delivered within a week?

Answers

Answer:

She expect 9  postcards to be delivered within a week.

Step-by-step explanation:

We are given that The probability that any postcard posted in Portugal on Monday is delivered to the UK within a week is 0.62

We are also given that The probability that any postcard posted in Portugal on Friday is delivered to the UK within a week is 0.41.

Now we are supposed to find How many of her postcards can she expect to be delivered within a week if She posts 15 postcards to the UK on Monday.

So, The probability that any postcard posted in Portugal on Monday is delivered to the UK within a week =0.62

She expect no. of postcards to be delivered within a week.= [tex]15 \times 0.62[/tex]

She expect no. of postcards to be delivered within a week.=9.3

So, She expect 9  postcards to be delivered within a week.

(02.06)If 1 pint is equal to 2 cups, then 5 pints would equal ___ cups.

Answers

Answer:

If 1 pint is equal to 2 cups, then 5 pints would equal _5_ cups.

Step-by-step explanation:

Let's use a ratio to solve:

pints : cups

  1      :   2

  2     :   4

  3     :   6

  4     :   8

  5     :   10

There would be 10 cups in 5 pints.

*I WILL MARK YOU BRAINLIEST!!!!!*

Answers

Answer:

C

Step-by-step explanation:

you were told to draw a graph

f(x) or y is 4 when x less than or equal to 3. so you must draw straight horizontal line at y = 4 start from x = 3 to the left

(fx) or y is 2 when x bigger than 3. so, 3 is not included. so you must draw straight horizontal line at y = 2 start from x = 3 to the right with empty circle first (it means 3 not included)

This is the question that I need help with.​

Answers

Answer: 16 + 55 = 71cm^2

Step-by-step explanation:

You want to divide this figure into 2 rectangles. There are two ways to do this, but either one will give you the same answer.

First One:

It has the dimensions of 5 and 11. 5 x 11 = 55cm^2

Second One:

This one wont be straightforward like the first one. You need to find these sides manually.

7 + x = 11

x = 4

Then,

9 - x = 5

x = 4

4 x 4 = 16cm^2

NEED MATH HELP NOW. PLEASE HELP.

Answers

Answer:

The x-intercepts are (-2, 0) and (4, 0). I know this because it's written in intercept notation. To find the y-intercept we'll expand.

-(x + 2)(x - 4) = -x² + 2x + 8 so the y-int. is (0, 8). To find the rest we'll complete the square.

-x² + 2x + 8 = -(x² - 2x) + 8 = -(x -1)² + 1 + 8 = -(x - 1)² + 9 so the vertex is (1, 9) and the axis of symmetry is x = 1. This means that the domain is all real numbers and the range is y ≤ 9.

take my pointpointWhich day was the weather forecast most accurate?

Forecast vs Actual Temperature
Day
Degrees above (+) or
below (–) forecast
Monday
+4
Tuesday
–6
Wednesday
+7
Thursday
–2

Monday
Tuesday
Wednesday
Thursday

Answers

Answer:

B

Step-by-step explanation:

Answer:

Tuesday

Step-by-step explanation:

What is the total surface area of the figure shown?

Answers

Answer:

Surface area of the figure = 1000 in²

Step-by-step explanation:

From the figure attached,

Two rectangular prisms A and B have been shown with the dimensions.

Surface area of a rectangular prism = 2(length + width) × height

Surface area of prism A = 2(9 + 10) × 20

                                        = 760 in²

Surface area of prism B = 2(15 + 10) × 8

                                        = 16×25

                                        = 400 in²

But one surface of prism B along the width and the same area of prism A are hidden.

Area of the hidden surfaces = 2(10 × 8)

                                               = 160 in²

Total surface area of the figure = 760 + 400 - 160

                                                    = 1000 in²

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