Solve for the length of BA and BC, round your answer to 1 decimal place

Solve For The Length Of BA And BC, Round Your Answer To 1 Decimal Place

Answers

Answer 1

Answer:

[tex]BA = 6.0[/tex]

[tex]BC = 13.4[/tex]

Step-by-step explanation:

Given

The attached triangle

Solving (a) BA

Considering the tangent of angle C, we have:

[tex]tan\ C = \frac{BA}{AC}\\[/tex]

This gives:

[tex]tan\ 25 = \frac{BA}{12}[/tex]

Make BA the subject

[tex]BA = 12 * tan\ 25[/tex]

[tex]BA = 12 * 0.4663[/tex]

[tex]BA = 6.0[/tex] --- approximated

Solving (a) BC

Using Pythagoras theorem

[tex]BC^2 = BA^2 + AC^2[/tex]

[tex]BC^2 = 6.0^2 + 12^2[/tex]

[tex]BC^2 = 180[/tex]

Square root of both sides

[tex]BC = \sqrt{180[/tex]

[tex]BC = 13.4[/tex]


Related Questions

this dot plot is symmetric, and the data set has no extreme values

Answers

Answer:

Where is the plot?

Step-by-step explanation:

Help me answer the question ​

Answers

Answer:

cubic

Step-by-step explanation:

you can eliminate all of the other ones

Answer:

cubic

Step-by-step explanation:

quadratic = makes a parabola - U shaped

linear = makes a straight line

cubic = makes a shape just like the one in the picture

square root = makes a curved shape and its also a shape that looks like half of a parabola lying on its side

Need Help. I will give brainliest.

Answers

Answer:

I think that by nothing these.triangles are similar so it is option d

Answer:

Step-by-step explanation:

If we look at the ratios of shortest to longest sides we see

34/110 does not equal 26/44

Since these ratios are not equal they are not similar triangles.

So the answer is D

A line with a slope of 0 passes through the point (9,5). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y = 5      

Step-by-step explanation:

Any line with a slope of 0 is horizontal, represented by the equation y = a number. That number is the y-value of all the points the line intersects.

We know that that the line intersects (9,5). So, take the y-value of that point and write it into the equation of y = a number. Thus, the answer is y =5.

8x + 9y - 6x - 3y i forgot how to do these lol

Answers

If you are asking to combine them it is 6y+2x

On the middle school basketball team, 8 players are 6th graders. Of the players, 40 percent are 6th graders. How many players are on the team?

Answers

It is 20 cause 8/20 is 40 percent of 20

8ty grade math, please help.
-Find the volume-

Answers

Answer:

47.12389 Rounded is 47.12

Step-by-step explanation:

V=πr2h=π·12·15≈47.12389

Finding the area of each

Answers

Answer:

C.

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

2*2=4

Find the solution(s) to the system of equations below:
3x - 5y = 3 and y = 3x2 - 4x + 1

Answers

Answer:

The solutions I found to this system of equations are (1, 0) and (⁸/₁₅, -7).  

I keep second guessing and recalculating the second point there, so I'd suggest double-checking it by going through the work yourself.  The first one checks out though.

Step-by-step explanation:

Let's solve this by substitution, where one equation is solved for one variable and substituted in to the other.  As the latter equation is already solved for y, we can simply substitute it into the other:

given:

   y = 3x² - 4x + 1

   3x - 5y = 3

then:

  3x - 5(3x² - 4x + 1) = 3

Which we can then simplify and solve:

3x - 15x² + 20x - 5 = 3

-3x + 15x² - 20x + 5 = -3

15x² - 23x = -8

Now we can find find the solution by completing the square:

15(15x² - 23x) = 15(-8)

225x² - 345x = -120

225x² - 345x  + (23/2)² = -120 + (23/2)²

225x² - 345x  + 529/4 = -120 + 529/4

(15x - 11.5)² = -120 + 132.25

(15x - 11.5)² = 12.25

15x - 11.5 = ± √12.25

15x - 11.5 = ± 3.5

15x = 11.5 ± 3.5

x = (11.5 ± 3.5) / 15

x = 15 / 15, and 8 / 15

x = 1, and 0.5333...

Now that we have x, we can solve for y.

given: 3x - 5y = 3

for x = 1:

3 - 5y = 3

y = 0

for x = ⁸/₁₅:

3(⁸/₁₅) - 5y = 3

5y = 3(⁸/₁₅) - 3

5y = ²⁴/₁₅ - ⁴⁵/₁₅

5y = -²¹/₁₅

y = -²¹/₃

y = -7

So the solutions to this system of equations are (1, 0) and (⁸/₁₅, -7).

Question 1 ) The population of Jackson Heights is 125% of the population of Elmhurst. If Elmhurst has 80,000 people, how many people live in Jackson Heights?

Question 2 ) The population of Jackson Heights is 125% of the population of Elmhurst. If Jackson Heights has 80,000 people, how many people live in Elmhurst?

Answers

Answer:

1) Jackson Heights population = 100,000

2) Elmhurst population = 64,000

Step-by-step explanation:

1) 80,000 x 1.25 = 100,000

2) 80,000/1.25 = 64,000

Find the mean of the sets of data:
2.
12, 67, 34, 10, 78, 78, 49
3. 10,10,13, 13, 45, 21, 67

Answers

Answer:

2.) 46.9        3.) 25.6

Step-by-step explanation:

Answer:

2. 46.857

3. 25.571

Step-by-step explanation:

Add all the numbers together and then divide by the number of numbers you added.

12+67+34+10+78+78+49=328

328/7=46.857

10+10+13+13+45+21+67=179

179/7=25.571


You were planning to spend $12 on a
pizza. Write and solve an inequality to represent
the additional amount you must spend to get
free delivery.

Answers

Answer:

x+12

Step-by-step explanation:

I belive some part of this may be missing. I feel like their should be more info maybe on how much you have to buy but this in general is technically correct. x is the amount you must spend to get free delivery + 12 bucks

Help fjdhddjdhdhhdhdhdufh

Answers

Answer:B. 86

Explanation: 1032/12=86

WILL GIVE BRAINLIEST

Answers

The answer is c! You just put the square root symbol in your calculator and then put the number after and press enter it comes to around 4.8 so your answer is c
C is the right answer to this. Have a great day!!

What is her average?

Answers

Answer:

95

Step-by-step explanation:

88 + 95 + 97 + 100 = 380

380 ÷ 4 = 95

To find the average you add all the numbers together and then divide that answer depending on how many numbers there are for example there were 4  numbers in this problem so I divided by 4.

Hoped this helped you!! If you have any other questions about what I said you can ask me :) Have a great day!

Find y to the nearest hundredths place

Answers

Answer:

I cant see the picture

Step-by-step explanation:

Katie wants to collect over a hundred seashells she already has 34 seashells in her collection each day she finds 12 more seashells on the beach Katie can use fractions of days to find seashells write an equality to determine the number of days D it will take Katie to collect over a 100 seashells. no explanation needed​

Answers

Answer:

6

Step-by-step explanation:

it’s 6 im very good in math

What is 4 x 1/3 I don’t understand because I was using an old method to do this and it isn’t working plz help

Answers

It’s 1 1/3 or 4/3 you simply multiply 4/1*1/3 and multiply 4*1 as the numerator and multiply 1 and 3 as the denominator to get an answer of 4/3

Answer:

4/3 hope this helps

5k + 9 = 89.............

Answers

Answer:

k= 16

Step-by-step explanation:

89-9=80

80/5=16

16=k

Answer:

5k+9=89

5k=89-9

5k=80

k=16

Find the measure of 61.
{
839
41
{ K
41 = [?]
Enter

Answers

Answer:

m<1 = 97°

Step-by-step explanation:

<1 and 83° are same-side interior angles. Same-side interior angles are supplementary. This implies that:

m<1 + 83° = 180°

Therefore:

m<1 + 83° - 83° = 180° - 83° (subtraction property of equality)

m<1 = 97°

Answer:

<1=97°

steps:

<1+83=180 co interior angle

<1=180-83=97°

3x^2 -12x +11=0
How to complete the square

Answers

Answer:

Tiger shows you, step by step, how to solve YOUR Quadratic Equations 3x^2-x-11=0 by Completing the Square, Quadratic formula or, ...

Please help this is due TODAY

Calculate the unknown variable value .


Do not answer with a one answer, blank or a ridiculous answer please this is serious.

Answers

Answer:

Z= 10cm
X= 17cm
Y= 8cm

Explanation:

One half of the image can be mirrored to the other side. This means that the variables are equivalent to the number on the exact opposite side of them.

Which of the following lines is perpendicular to the line 8x + 6y = 12 and passes through the point (-12,-2)?​

Answers

Answer:

y = 3/4x + 7

Step-by-step explanation:

8x + 6y = 12

6y = -8x + 12

y = -4/3x + 2

Perpendicular slope: 3/4

y - y1 = m(x - x1)

y + 2 = 3/4(x + 12)

y + 2 = 3/4x + 9

y = 3/4x + 7

2. Which pair of angles is not congruent? F. ∠1 and ∠7 G. ∠3 and ∠5 H. ∠4 and ∠6 I. ∠2 and ∠5

Answers

Answer:

I) ∠2 and ∠5

Step-by-step explanation:

I'm in the test and need help please
Graph the solution to the following linear Inequality​

Answers

Wait a 10 minutes I will send you answer

m_VSR =
Help meeeeeeeee

Answers

Answer:

80 degrees

Step-by-step explanation:

7(5+2c)+3c I need help

Answers

Answer:

35 + 17c I hope this helps!! Plz give brainliest!!!

Step-by-step explanation:

7(5+2c)+3c

35+14c+3c

35+17c

What is the recursive formula for the geometric sequence 2, 12, 72, 432,.. ?

Answers

[tex]a_{1}=2\\a_{n}=6a_{n-1}[/tex]

The recursive formula is  aₙ = 2(6)ⁿ⁻¹.

What is recursive formula?

A recursive formula for a geometric sequence with common ratio r is given by aₙ = a₁ rⁿ⁻¹ for n≥2.

Given: 2, 12, 72, 432,..

r= 12/2= 6

a= 2

The recursive  formula for the nth term,

aₙ = a₁ rⁿ⁻¹

aₙ = 2(6)ⁿ⁻¹

Hence, the recursive formula is aₙ = 2(6)ⁿ⁻¹

Learn more about this concept here:

https://brainly.com/question/11813228

#SPJ1

If an image was translated 8 units to the left and 2 units down, what would its rule be?
A. (X,Y-> (X + 8, y - 2)
B. (x, y) --> (X - 8, y - 2)
C. (x, y) --> (X + 8, y + 2)
D. (x, y) --> (X - 8, y + 2)


ill give brainliest! plsss help

Answers

Answer:

B

Because u r going -8 units on the x-axis and 2 units down on the y-axis

Write 66,610 in scientific notation.

Answers

6661x10^4

Hope this helps
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