x = 4cm
y = 6 cm
work out

BAC rounded to 3 SF.

X = 4cmy = 6 Cm Work Out BAC Rounded To 3 SF.

Answers

Answer 1

Step-by-step explanation:

I am not sure if I understand you right about what is needed.

I would understand we need the angle BAC (at A).

first of all, this is a right-angled triangle.

Pythagoras applies :

c² = a² + b²

with c being the Hypotenuse (side opposite of the 90° angle).

in our case that means

AC² = x² + y² = 4² + 6² = 16 + 36 = 52

AC = sqrt(52)

now we can use the law of sine to get the other angles.

a/sin(A) = b/sin(B) = c/sin(C)

with the sides and the corresponding angles being opposite.

in our case

y/sin(A) = AC/sin(B) = AC/sin(90) = AC

sin(A) = y/AC = 6/sqrt(52) = 0.832050294...

the angle A = 56.30993247...° ≈ 56.3°


Related Questions

At the end of april, mandy told bill that she has read 16 books this year and reads 2 books each month. Bill wants to catch up to mandy. He tracks his book reading with a table on his door. Using his table below, what month will bill have read the same amount of books as mandy?.

Answers

Answer:

where is table

Step-by-step explanation:

!GIVING BRAINLIST! PLEASE HELP
Drag the labels to the correct location on the table. Each label can be used more than once.
Identify the correct rhyme scheme for each excerpt.
abab
abcb
aabb

Answers

Answer:

For the first excerpt, the rhyme scheme is ABAB

For the second excerpt, the rhyme scheme is ABCB

For the third it is, AABB

For the Fourth it is, ABAB

For the Fifth it is, ABCB

Step-by-step explanation:

Hope this helped

A brainliest is always appreciated.

It's ABAB (repeat. 1&3 then 2&4)

23 - 2x = 10 ??!! HELP PLSS

Answers

x = 6.5

Explanation:

[tex]\sf 23 - 2x = 10[/tex]

subtract 23 from both sides

[tex]\rightarrow \sf 23-2x-23=10-23[/tex]

simplify the following

[tex]\rightarrow \sf -2x=-13[/tex]

divide both sides by -2

[tex]\rightarrow \sf \dfrac{-2x}{-2}=\dfrac{-13}{-2}[/tex]

simplify

[tex]\rightarrow \sf x=\dfrac{13}{2}[/tex]

in decimals

[tex]\sf \rightarrow x = 6.5[/tex]

Recheck the following

[tex]\hookrightarrow \mathrm{23 - 2(6.5) = 10}[/tex]

[tex]\hookrightarrow \mathrm{23 -13 = 10}[/tex]

[tex]\hookrightarrow \mathrm{10 = 10}[/tex]

L.H.S = R.H.S thus. x = 6.5

Find the solution to the inequality 3x≥20

Answers

Answer:

x≥20/3

Step-by-step explanation:

divide both sides by 3

3x/3≥20/3

x≥20/3

Hope this helps! Pls give brainliest!

Help Please ASAP
Rose bought a length of copper pipe. She used ½.yard to repair a water line in her house. How much pipe does she have left? Solve this problem any way you choose.

Answers

Answer:

I need to know the total length of the pipe but she has 1/2 yard of pipe left. Whatever the total pipe length is, just divide that by 2 to get your answer.

Read the sentence and study the table. Jaren and Shardae found that cooking a four-course dinner was a laborious process. A 2-column table with 1 row. The first column is labeled Suffix with the entry -ious. The second column is labeled Meaning with the entry having qualities of; full of. Based on the definition of the suffix, what does the underlined word mean? relatively easy not challenging requiring effort deeply satisfying.

Answers

Laborious in this sentence means a task that requires a lot of effort.

What will be the suffix?

Suffix is a kind of affix which is placed after the stem of the word in the word. This explains about the grammatical case of nouns and adjectives.

The word that has been used in the sentence which describes about the activity of the sentence is laborious.

The activity speaks about that this task which is of making a four course dinner is not going to be easy and requires a lot of efforts in it.

Thus Laborious in this sentence means a task that requires a lot of effort.

To know more about suffixes follow

https://brainly.com/question/26231721

c

Step-by-step explanation:

4.16667 As a mixed number

Answers

Answer:

416667 / 100000

Step-by-step explanation:

maths is too ez

Answer:

Step-by-step explanation:

4 16667/100000

Question in the photo.

Answers

Answer:

its not proportional because the graph is not a straight line

how do we find the value of a variable x in an equation?​

Answers

Answer:

READ  BELOW

Step-by-step explanation:

To solve for x, bring the variable to one side, and bring all the remaining values to the other side by applying arithmetic operations on both sides of the equation. Simplify the values to find the result.

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer: 20.4

Step-by-step explanation:

Which proportion is not true

Answers

is not true or is true

i think of a number multiply it by 3 and add 4 i get 22
use the statement above ,to form an equation.
a)use the letter x for the uknown number
b) solve the equation

Answers

Answer:

x = 6

Step-by-step explanation:

i think of a number multiply it by 3 and add 4 i get 22.

x = a number

x is being multiplied by 3 (3*x or 3x), thening add 4 is equal to 22.

3x + 4 = 22

    - 4    - 4

3x = 18

/3      /3

x = 6

Therefore, the unknown number is 6.

Hope this helps!

Suppose that y varies inversely with x. Write an equation for the inverse variation.

y = 4 when x = 6

Answers

Answer:

y = 24/x

Step-by-step explanation:

[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\qquad \textit{we also know that} \begin{cases} y = 4\\ x = 6 \end{cases} \\\\\\ 4=\cfrac{k}{6}\implies 24=k~\hspace{10em}\boxed{y = \cfrac{24}{x}}[/tex]

PLEASE HELP I'LL GIVE BRAINLIEST

Answers

The point that is marked on the number line is  - 0.875.

How to read a number line?

According to the number line diagram, the right side after zero is the positive side while the left side before zero is the negative side.

The marked point is before zero, therefore, the marked point on the number line is surely a negative number.

Each step in the number line represents a step of 0.125.

Hence, the marked point represents 7 steps from zero, therefore, the marked point is  -0.875.

learn more on number line here: https://brainly.com/question/13189025

please solve just 7 and 9​

Answers

Answer:

7. 5, 9. 2

Step-by-step explanation:

Number 7 is 5 and number 9 is 2.

Evaluate m+(n/1.2). If m=4.204 and n= 4.5

Answers

Hey there!

m + (n/1.2)

= 4.204  + (4.5/1.2)

= 4.204/1+ (4.5/1.2)

= 4.204/1 + 4.5/1.2

= 4.204 + 3.75

= 7.954


Therefore, your answer is: 7.954


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Solve 9 × 5/8
I'm gonna give you all my points : )

Answers

Answer:

See below.

Step-by-step explanation:

9*5/8

Order of operations state that division has to be done before multiplication.

5/8=0.625

9*0.625=5.625, or 5.6

-hope it helps

Find 0.46% of 1000grams​

Answers

0.46% of 1000=
is 0.46/100 x 1000 = 4.6g

Answer:

4.6 grams :)

Step-by-step explanation:

please give brainliest i only need one more crown to level up <3

have a great day!

and if this is a test, i hope you get a 100

Write the expression as a decimal:

Answers

Answer:

0.006

Step-by-step explanation:

Which expression is equivalent to 7x + 9 - 2x?
Answer choices 14x, 18x, 5x + 9 or 9x + 9

Answers

Answer:

5x+8 because 7x-2x=5x and you cant do anything with the 9 so it just stays as a hang on at the end.

Step-by-step explanation:

Answer:

7x + 9 - 2x

We need to combine like terms (meaning terms that have the same power and variables);

(7x - 2x) + (9)

5x + 9

I need help

Evaluate the function.
f(x)=2x^2+x-4
f(x)=2x
2
+x−4
Find f(−10)

Answers

Answer:

f(-10) = 2(-10)^2 +(-10)-4 = 386

Step-by-step explanation:

(2 * -10)^2 equals -20^2= 400

+(-10)-4= -10-4=-14

400-14=386

Which property is demonstrated? (7 × 25) × 9 = 7 × (25 × 9)

Answers

Answer:

Associativity.

Step-by-step explanation:

!!!PLEASE HELP, ITS DUE TODAY!!!

Duane Pipe has worked at the hospital 21 out of 30 days this month. What is his ratio of days worked to total days reduced to lowest terms? In order to receive full-time benefits, he must work 3/4ths of the month or more. Did he meet the requirements?

I will give Brainliest if it’s right

Answers

Answer:

2/3

Step-by-step explanation:

he did meet the requirements

A school bus can safely carry as many as 76 students. If 19 students are already on the
bus, how many more can board the bus?

Answers

Answer:

57 students can still board

Step-by-step explanation:

If it carries 76 students total and 19 are already on, we must find the difference

This means we subtract

76 - 19 = 57

57 students can board the bus

6) Heather won 45 lollipops playing the bean
bag toss at her school's game night. Later,
she gave three to each of her friends. She
only has 3 remaining. How many friends
does she have?

Answers

Answer:

14

Step-by-step explanation:

45/3=15

She has 3 left so that means she has 14 friends

14 friends: 14 • 3 = 42 42+3=45

Can someone help me Plzzzzz!

Answers

Answer:

Which one is it though?

Step-by-step explanation:

Solve for x. Enter the solutions from least to greatest.
(x + 5)2 – 64 = 0
lesser x =
greater x =

Answers

Answer:

Step-by-step explanation:

( x + 5 )² - 64 = 0

( x + 5 )² = 64

x + 5 = ± √64

x + 5 = ± 8

(1). x + 5 = - 8

x = - 13 ( lesser )

(2). x + 5 = 8

x = 3 ( greater )

an estimate of 3 out of 25 people are left handed

Answers

Then that means the other 22 are right handed

Show an example of a multi-step equation with a no solution answer.​

Answers

5(y+3)= 5y + 3 ——> 5y+15=5y+3

please help me this my e -learning work

Answers

Answer:

1. [tex]=11x+9[/tex]

2. [tex]=7a+17[/tex]

3. [tex]=14k+10[/tex]

4. [tex]=3r+19[/tex]

5. [tex]=8w+19[/tex]

6. [tex]=\frac{19}{2}p+16[/tex]

7. [tex]=8x+18y[/tex]

8. [tex]=11m+7n+14[/tex]

9. ???

10. [tex]=\frac{4p+5q}{6}+\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]4x+9+7x[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=4x+7x+9[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:4x+7x=11x[/tex]

[tex]=11x+9[/tex]

[tex]7a+1+16[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:1+16=17[/tex]

[tex]=7a+17[/tex]

[tex]9+6k+8k+1[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=6k+8k+9+1[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:9+1=10[/tex]

[tex]=6k+8k+10[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:6k+8k=14k[/tex]

[tex]=14k+10[/tex]

[tex]r+14+5+2r[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:14+5=19[/tex]

[tex]=r+19+2r[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=r+2r+19[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:r+2r=3r[/tex]

[tex]=3r+19[/tex]

[tex]6+7w+w+13[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=7w+w+6+13[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:6+13=19[/tex]

[tex]=7w+w+19[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:7w+w=8w[/tex]

[tex]=8w+19[/tex]

[tex]\frac{1}{2}p+14+2+9p[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:14+2=16[/tex]

[tex]=\frac{1}{2}p+16+9p[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=9p+\frac{1}{2}p+16[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}p[/tex]

[tex]=p\left(9+\frac{1}{2}\right)+16[/tex]

[tex]=p\frac{19}{2}+16[/tex]

[tex]=\frac{19}{2}p+16[/tex]

[tex]8x+3y+15y[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:3y+15y=18y[/tex]

[tex]=8x+18y[/tex]

[tex]3m+7n+14+8m[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=3m+8m+7n+14[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:3m+8m=11m[/tex]

[tex]=11m+7n+14[/tex]

Cant see the next one the number before w

[tex]\frac{2}{3}p+\frac{5}{6}q+\frac{1}{4}[/tex]

[tex]=\frac{2p}{3}+\frac{5q}{6}+\frac{1}{4}[/tex]

[tex]=\frac{4p+5q}{6}+\frac{1}{4}[/tex]

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