please help with maths work

Please Help With Maths Work

Answers

Answer 1

Given:

In a right angle triangle ABC, [tex]\angle B=90^\circ,x=8.7\ m[/tex], and [tex]\theta = 45^\circ[/tex]

To find:

The value of AC.

Solution:

In a right angle triangle,

[tex]\cos \theta =\dfrac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos \theta =\dfrac{BC}{AC}[/tex]

[tex]\cos (45^\circ) =\dfrac{8.7}{AC}[/tex]

[tex]\dfrac{1}{\sqrt{2}}=\dfrac{8.7}{AC}[/tex]

On cross multiplication, we get

[tex]AC=8.7\times \sqrt{2}[/tex]

[tex]AC=12.30365799[/tex]

[tex]AC\approx 12.304[/tex]

Therefore, the measure of AC is 12.304 m.


Related Questions

PLS PLS PLS HELP ME THIS IS LATE

Answers

Step-by-step explanation:

a + 9 = 6

p + 20 = -30


Simplify the expression.
t+2+6t

Answers

Answer:

2t + 8

Step-by-step explanation:

add the like terms.

HELP AND I WILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

If the complement of an angle is 79 degree , then the angle will be of .............measures

Answers

Answer:

11°

Step-by-step explanation:

90°-79°

=11°

Hope it helps

Simplified the expression write your answer as a power

Answers

Answer:

2^8/3^8

Step-by-step explanation:

When multiplying powers with the same base, add the number in the exponent. For example, if you were multiplying 2^4 and 2^3, you would add 3 and 4 (3+4=7), and write your answer as 2^7. In this case, the bases being multiplied are both 2/3, so you can add 2 and 6 for a sum of 8 and put 8 as the exponent: (2/3)^8. The fully simplified expression is 2^8/3^8 because the exponent applies to both the numerator and the denominator.

its a lot but i hope this will help!! please lmk if i made a mistake

Answer:

256/6561

Step-by-step explanation:

In a school of 310 students, 70 of them are in the drama club, 190 of them are in a sports team and 50 students do drama and sports. Find the probability that a student chosen at random isnt in the in tje drama club or the sports team

Answers

The probability that a student chosen at random isn't in the drama club or the sports team is 10/31.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Let's denote students in D = in the drama club , S = in a sports team

P(D) = 70/310

P(S) = 190/310

P(D and S) = 50/310

P(D or S) = P(D) + P(S) - P(D and S)  

P(D or S) = 70/310  + 190/310  - 50/310

P(D or S) = 210/310 = 21/31

P(neither D nor S) = 1- 21/31

P(neither D nor S) = 10/31

The probability that a student chosen at random isn't in the drama club or the sports team is 10/31.

Learn more about probability here;

https://brainly.com/question/11234923

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Can someone please help me out?

Answers

Answer:

Ligh blue

Step-by-step explanation:

Answer:

3w + 5 :)

Step-by-step explanation:

Milo wants to roll epoxy on his garage floor. In order to do this he needs to know the area of his rectangular-shaped garage. The measurements are 20+ (radical) 3 feet by 20+ (radical) 3 feet.

What is the area of his garage floor?
(Remember, the formula for the area of a rectangle is A = lw.)
Please help. I've been stuck on this problem. :)

Answers

Answer:

A

Step-by-step explanation:

i got it right on edge

The area of his garage floor Milo wants to roll epoxy is 403 + 40√3 ft².

What are the area and perimeter of a rectangle?

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

Given, Milo wants to roll epoxy on his garage floor.

The measurements are 20 + √3 feet by 20 + √3 feet.

Therefore, The area of his garage floor is,

= (20 + √3)×(20 + √3) ft².

= 400 + 20√3 + 20√3 + √3×√3 ft².

= 400 + 40√3 + 3 ft².

= 403 + 40√3 ft².

learn more about rectangles here :

https://brainly.com/question/2591158

#SPJ2

ned help asap will give brainly

Answers

Answer:

angle 5 and 8 are not vertical angles because they dont cross with another live diaglaly

Step-by-step explanation:

Answer:

Corresponding Angles: the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

Alternate Interior: The term alternate interior angles is often used when two lines are cut by a third line, a transversal .

Vertical Angle: each of the pairs of opposite angles made by two intersecting lines.

Step-by-step explanation:

answer to (4f+1)–(4f+1)

Answers

Answer:

0

Step-by-step explanation:

subtracting like terms

4f+1-4f-1=0
Here the answer is 0

reposting again
i will give brainliest to best answer

Answers

Answer:

the answer is c plz trust

Step-by-step explanation:

Which of these pairs are equal?

Answers

Answer:

bugggaaaa

Step-by-step explanation:

bugggggaaaaa

Answer:

sin 33 and cos 57

Step-by-step explanation:

Sine of an angle equals the cosine of its complement.

HELP PLEASE FOR BRAINLIEST

Answers

surface area: 19.3
volume: 5.412
Surface area: 19.3 yds
Volume: 5.412 yds

Which is the better value? 12 bottles of juice for $15.00, or 18 bottles of juice for $23.04?

Answers

Second option sound way better!

Answer: it’s 1.25 for the first and 1.28 for the second so the first of 12 bottles 15$ Is the better value

Step-by-step explanation:

What is the measure of m

Answers

117 degrees

The angles in a trapezoid add up to 360 degrees. 63 x 2 = 126

360 - 126 = 234

234/2 = 117

help me pls will mark brainltisy

Answers

Answer: D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Calculate the lengths of JK and JL using the distance formula

d  = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = J(2, 1) and (x₂, y₂ ) = K(- 4, 2)

JK = [tex]\sqrt{(-4-2)^2+(2-1)^2}[/tex]

     =  [tex]\sqrt{(-6)^2+1^2}[/tex]

     = [tex]\sqrt{36+1}[/tex]

     = [tex]\sqrt{37}[/tex] ≈ 6.1 units

Repeat with (x₁, y₁ ) = J(2, 1) and (x₂, y₂ ) = L(7, 4)

JL = [tex]\sqrt{(7-2)^2+(4-1)^2}[/tex]

    = [tex]\sqrt{5^2+3^2}[/tex]

    = [tex]\sqrt{25+9}[/tex]

    = [tex]\sqrt{34}[/tex] ≈ 5.8 units

Thus JK is longer than JL →  A

The graph shows a trip taken by a car, where t is the time (in hours) and y is the distance
(in miles) from Phoenix.


a. Find the y-intercept of the graph. What does it represent?
b. Find the slope of the graph. What does it represent? c. How long did the trip last? d. How far from Phoenix was the car at the end of the trip?
e. Write an equation that represents the graph

Answers

Answer:

The answer is below

Step-by-step explanation:

The equation of a graph of a linear function is in the form:

y = mx + b;

where m is the slope of the graph, b is the y intercept, y and x are the variable.

Since y represent distance on y axis and t represent time on the x axis. We see that the graph passes the points:

(0, 100) and (6, 400). The equation of the graph is:

[tex]y-y_1=\frac{y_2-y_1}{t_2-t_1}(t-t_1) \\\\y-100=\frac{400-100}{6-0}(t-0)\\\\y-100= 50t\\\\y=50t+100[/tex]

a) The y intercept is 0. This means that initially the car is at 100 miles from Phoenix before the trip started. i.e. at 0 hours the distance is 100 miles.

b) The slope of the graph is 50. It means that the car traveled at a speed of 50 miles per hour

c) The end point of the graph is (6, 400), meaning the trip lasted 6 hours

d) The end point of the graph is (6, 400), meaning at the end of the trip, the car was 400 miles from Phoenix.

In the following figure, the value of x is ?

Answers

Step-by-step explanation:

Using SOH CAH TOA

sin#=opp/hyp

sin35=x/20

20sin35=x

x=11.4715

x=11.5

find the solution set of 5x<36 when x ∈ n

Answers

Answer:

5x<36

5x/5 < 36/5

x < 7.2

What the person said above is correct! The answer is X< 7.2

Find the value of x in the angle pair.

Answers

Answer:

but I don't want you guys

Step-by-step explanation:

ok love to have a God I love you night with my friend who is a control needed for a while and he was very excited to see if he says that you were a great depression in his life when you had a good time and you were going from a big it would have a lot of fun and I just love that I feel pretty

Answer:

10

Step-by-step explanation:

See the angles on the black line. They are supplementary.

7x+90°+20°=180°

7x+110°=180°

7x=180°-110°

7x=70°

x=70°/7

x=10

What would the cross sections be of a triangular prism cut diagonally NOT through the base?
A circle

B ellipse

C rectangle

D square

E trapezoid

F triangle

Answers

Answer:it might be (F)

Step-by-step explanation:

Tell me if I’m right or wrong

May someone please help me with this :)

Answers

1. The perimeter = 3.7 + 3.7 + 2.8 + 2.8
= 13
The area = 3.7 * 2.8 = 10.36

2. Perimeter = 11.2
Area = half base times height
2.6 * 1.5 = 3.9 squared
Do you got the answer?

M is directly proportional to R cubed a)R = 4, M = 160 find M when R = 2 b) work out the value of R when M=540

Answers

Answer:

a k (proportionality constant) = 2.5

b. r = 6

Step-by-step explanation:

Here, we want to solve a variation

m = k * r^3

160 = k * 4^3

160 = 64k

k = 160/64

k = 2.5

b) secondly;

From;

540 = 2.5 * r^3

r^3 = 216

r = cube root of 216

r = 6

What is the value of x in the equation 3x − 5 = x + 7?

Answers

Answer:

6

Step-by-step explanation:

X=6
3x-5=x+7
-7 -7
3x-12=x
-x -x
2x=-12
Then you divide 12 by2 and X by 2 and get 6.

Please help . Write 405 in scientific notation 405

Answers

Answer:

4.05 x 10^2

Step-by-step explanation:

Please mark brainiest

and give 5 stars

Thanks

simplify -(2x-3)+7-4x

Answers

-6x + 10 is the answer!!!!

Please anyone ?? Helpp

Answers

Answer:

Does this count as stander form 6.95880148018

Step-by-step explanation:

Help I’ll give out brainliest pls dont answer if you don’t

Answers

Answer:

8x-8=16 is the answer after combining like terms

Answer:

x=3

Step-by-step explanation:

8x-8=16

8x=24

x=3

:)

HELP ME PLS I REALLY NEEDD HELP!!!! MATH IS HORRIBLE


pls number them like

1.

2

3.

4.

5.






help!
lol

Answers

Answer:

Question 1

Option 2 is the correct answer

y = x - 55/ x=255

Question 2:

Last option is the correct answer

n = b + 2/ b= 5

Step-by-step explanation:

Question 1

The given information can be framed into the Mathematical form as given below:

No of cards = x

Cards given to brother = 55

Remaining cards = x - 55

Total number of cards = y

y = x - 55

Plug y = 200

200 = x - 55

20. + 55 = x

x = 255

y = x - 55/ x = 255

Question 2:

Total number of shirts bought

n = b + 2

Plug n = 7

7 = b + 2

7 - 2 = b

b = 5

n = b + 2/ b = 5

Mr. Green baked 24 cookies. 5 sixths of the cookies were oatmeal. How many oatmeal cookies did Mr. Green bake?

Answers

Answer:

20

Step-by-step explanation:

there r 24 cookies

5/6 of 24 is 20 because 24/6 is 4 and 4*5 is 20

Answer:

20 oatmeal cookies

Step-by-step explanation:

If it is 6ths then divide 24 by 6 which is 4 and multiply 5 by 4 which is 20

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