Given that x = 5.7 m and θ = 43°, work out BC rounded to 3 SF​

Given Thatx= 5.7 M And= 43, Work Out BC Rounded To 3 SF

Answers

Answer 1

Answer:

BC ≈ 4.17

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos43° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{5.7}[/tex] ( multiply both sides by 5.7 )

5.7 × cos43° = BC , then

BC ≈ 4.17 ( to 3 sf )

Answer 2
Use SOH CAH TOA
label sides hypotenuse, adjacent
cos43 = adjacent / hypotenuse

BC/AC = BC/5.7

x both sides by 5.7

5.7 x cos43 =BC

BC = 4.17(3sf)


Related Questions

7/6 written as a mixed number

Answers

Answer:

1 1/6

Step-by-step explanation:

A mixed number is a proper fraction.

Answer:

[tex]1\frac{1}{6}[/tex]

Step-by-step explanation:

We are given the fraction of  [tex]\frac{7}{6}[/tex].

There are enough parts to make one whole, with one remaining.

Six sixths for the whole, the fraction would be one-sixth.

[tex]\frac{7}{6}=1\frac{1}{6}[/tex]

Hope this helps.

17 cm
17 cm
8 cm
3 What is the surface area of the triangular
prism shown?
A 1,430 cm?
B 2,360 cm?
35 cm
C 2,480 cm?
D 4,200 cm
I

Answers

D ststjdkgdgk dhdgkdlydky

3. A big league pitching coach tries to limit his pitchers to 110 pitches per game. If the pitcher has
already thrown 52 pitches, write and solve an inequality to find how many more pitches he can
throw before reaching the limit. *
Type your inequality AND your answer as a sentence.

Answers

110 minus 52 is 58 so the answer would be 58 more pitches

A peanut butter cookie recipe calls for 3 1/2 cups of flour to make 6 dozen cookies. How many cups of flour must be used to make 20

Answers

Complete Question

A peanut butter cookie recipe calls for 3 1/2 cups of flour to make 6 dozen cookies. How many cups of flour must be used to make 20 dozen?

Answer:

11 2/3 cups of flour

Step-by-step explanation:

From the above question:

6 dozen = 3 1/2 cups of flour

20 dozen = x

Cross Multiply

6 dozen × x = 20 dozen × 3 1/2 cups of flour

x = 20 dozen × 3 1/2 cups of flour/6 dozen

x = 20 × 7/2 /6

x = 140/2 ÷ 6

x = 140/2 × 1/6

x = 140/12 cups of flour

x = 11 8/12

= 11 2/3 cups of flour

Therefore, 11 2/3 cups of flour must be used to make 20 dozen.

plsss help lollll :)))

Answers

Answer:

Step-by-step explanation:

V = (4/3)πr3 so put it on a calculator (4/3)3.14 (or Pi) times radius which is r to the 3rd power so your answer would be 33.51 but make sure

23,69,207 find the 7th term

Answers

Answer:

16,767

Step-by-step explanation:

Geometric sequence formula: an = ar^n-1

Now, we just plug in the values.

an = 23(3)^7-1

an = 23(3)^6

an = 23(729)

an = 16,767

165 Students went on a filed trip. three buses were filled and 21 students traveled in cars. how many students were in each bus?

Answers

Answer:

48 students in each bus

Step-by-step explanation:

Factor the difference of two cubes
8v^3-27
i’ll give brainliest

Answers


27 - 8v3.........................

Answer:

[tex]8v^{3} +27=(2v)^{3} +3^{3}=(2v+3)(4v^{2} -6v+9)\\[/tex]

Step-by-step explanation:

from  formula a³ – b³ = (a – b) (a² + ab + b² )

Find the side length x of the shelf

Answers

Answer:

the length of x must be 10

Step-by-step explanation:

42 = 7 ( x + 5 ) solve for x

Answers

Answer:

x = 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

1. distribute 7 to x and 5.

42 = 7x + 35

2. subtract 35 on both sides.

7 = 7x

3. Divide by 7 for both sides.

1 = x

Find the value of x. Round your answer to the nearest tenth.
15
27

Answers

The value of the perpendicular x will be 7.64 units.

What is trigonometry?

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

Then the tangent of an angle is the ratio of the perpendicular and the base of the right-angle triangle.

tan θ = P / B

Then we have

tan 27° = x / 15

         x = 7.64 units

More about the trigonometry link is given below.

https://brainly.com/question/22698523

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Rewrite the equation by completing the square.
f(x)=x^2+x-30
f(x)=_(x+_)^2+_
pls helppppp

Answers

Answer:

f(x)= (x-5)(x+6)

Step-by-step explanation:

First, we find the factors of -30 that add up to +1

We can use 6 and -5

6+(-5)=1

f(x)= x^2+6x - 5x-30

then, we do group factorization

f(x)= x(x+6)- 5(x+6)

f(x)= (x-5)(x+6)

i hope this helps <3

The mean age of 5 people in a room is 33 years. A person enters the room. The mean age is now 37. What is the age of the person who entered the room?

Answers

Mean is the average,

The total ages with 5 people would be 5 x 33 = 165

the total ages with the 6th person is 6 x 37 = 222

The age of the 6th person is 222 - 165 = 57 years old.

Help pleas I need help

Answers

Answer:

3.05

Step-by-step explanation:

Answer:

3 3/4 inches

Step-by-step explanation:

A bank charge 5.25672% annual percentage rate on a home mortgage . What is this number rounded to the nearest tenth ?

A.5.1
B.5.25
C.5.3
D.6

Answers

Answer:

C. 5.3

step by step explanation:

Answer:

C. 5.3

Step-by-step explanation:

answer this MATH question thank you :)

Answers

Answer:

K

Step-by-step explanation:

By altering the initial height, you change the h-intercept. That will affect the maximum height and the t-intercept.

Answer: K

Answer:

post a new question so we can talk

Step-by-step explanation:

A company that sells yoga mats estimates its annual profit using the equation below, where x represents the wholesale price in dollars of 1 yoga mat, and P = annual profit in thousands of dollars.
P = 10x? - 280x + 1,600 When the expression on the right side of this equation is factored completely, which best describes the meaning of the factors?
The annual profit is zero at a wholesale price of $80 and zero at a wholesale price of $200.
The annual profit is zero at a wholesale price of $8 and maximized at a wholesale price of $20.
The annual profit is zero at a wholesale price of $80 and maximized at a wholesale price of $200.
The annual profit is zero at a wholesale price of $8 and zero at a wholesale price of $20.

Answers

Answer: (d)

Step-by-step explanation:

Given

Annual profit is given by

[tex]P=10x^2-280x+1600[/tex]

When it is factored then,

[tex]\Rightarrow 10x^2-280x+1600=0\\\Rightarrow 10\left( x^2-28x+160\right)=0\\\Rightarrow x^2-20x-8x+160=0\\\Rightarrow x(x-20)-8(x-20)=0\\\Rightarrow (x-8)(x-20)=0\\\Rightarrow x=8,20[/tex]

On factorization, we get that annual profit is zero at a whole prize of $8 and $20.

What is the probability that you will roll a dice and get 3, then get an ace from a deck, then (without replacing the other card) draw a black 2?

Answers

Answer:

que pasa parsero deja de esta mostrando el manda aquí vale

what is the correct form of the partial fraction decomposition for: start fraction 35-27x over 4xsquared+28x endfraction

Answers

Answer: The answer is A

Step-by-step explanation:

A/4x+B/x+7

The correct form of the partial fraction decomposition for the given expression is Option A

What is Partial Fraction Decomposition ?

Partial Fraction Decomposition is the method of simplifying rational expressions.

The expression given is

[tex]\rm \dfrac{ 35-27x} { 4x^2+28x}[/tex]

Applying Partial Decomposition

[tex]\rm \rm \dfrac{ 35-27x} { 4x(x+7)}\\\\\\\dfrac{35}{4x(x+7)} - \dfrac{27x}{4x(x+7)}\\\\\\Taking \;A = 35/ x+7\\\\Taking \; B = -27/4\\\\[/tex]

It can be written as

[tex]\rm \dfrac{A}{4x} + \dfrac{B}{x+7}[/tex]

Therefore Option A is the answer.

To know more about Partial Factor Decomposition

https://brainly.com/question/2516522

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Can someone please help me

Answers

Answer:

19.0 cm

Step-by-step explanation:

a^2+b^2=c^2

1^2+b^2=19^2

1+b^2=361

(subtract one from both sides)

b^2=360

(now square root to get rid of the ^2)

[tex]\sqrt{b^2}[/tex]=[tex]\sqrt{360}[/tex]

b=18.97 rounded to the tenths place is 19.0

Answer:

The length of the other leg is 19 cm (rounded to the nearest tenth).

Step-by-step explanation:

In order to solve this, we need to know the Pythagoras theorem which states that...

[tex]c^{2} = a^{2} +b^{2}[/tex]  (Where c is the length of the hypotenuse and a and b are the lengths of the legs)

Now just substitute the values to find the length of the other leg, and we get...

[tex]c^{2} = a^{2} +b^{2}\\19^{2} = 1^{2} + b^{2} \\b^{2} = 19^{2} - 1^{2} \\b^{2} = 361 - 1\\b^{2} = 360\\b = \sqrt{360} \\[/tex]

b ≅ 19

Therefore the length of the other leg is around 19 cm.

An airplane's altitude in feet during its descent can be found using the equation y=-150x + 30,500. After new government regulations become law, the descent isnow modeled by the equation y=-150x + 30,000. Which statement describes this change?


The airplane starts its descent from an altitude 500 feet lower.

The airplane descends 500 feet per horizontal mile slower.

The airplane descends 500 feet per horizontal mile faster.

The airplane starts its descent from an altitude of 500 feet.

Answers

Answer:

The airplane would starts its descent from an altitude 500 feet lower.

Step-by-step explanation:

The x-axis is horizontal and the y-axis is vertical (altitude). It would be 500 feet lower because they took 500 away from the 30,000.

Find the area of this shape

Answers

Answer:

433 m²

Step-by-step explanation:

Find the side length of the square first.

Apply Pythagoras Theorem on 1 of the triangles on the right, to find its remaining side.

[tex] \sqrt{ {12}^{2} - {9.6}^{2} } [/tex]

=[tex] \sqrt{51.84} [/tex]

= 7.2 m

Therefore the side of the square is

7.2 ×2

= 14.4 m

The area of the square

= 14.4²

= 207.36 m²

You are able to find the area if of the 2 triangles.

(7.2 × 9.6)÷2 ×2

= 69.12 m²

The height of the pentagon

= 25.4 - 7.2

= 18.2 m

The area of the pentagon

= (10+7.2) × 18.2 ÷ 2

= 156.52 m²

Add up the areas of the 3 polygons.

The area of the shape

= 207.36 + 69.12 + 156.52

= 433 m²

Type the missing number to complete the proportion.

12 minutes for 5 songs =
minutes for 20 songs

Answers

Answer:

48

Step-by-step explanation:

5 songs would equal 12 minutes, right?

5 times what equals 20? It's 4, so you take 12 times 4 since there'd be 4 times as many songs. So, to listen to 20 songs it'd take 48 minutes.

Please help! I need this aS-0

Answers

Answer:

6.

18+18 = 36

hence

x = 16

7.

x = 7 × 2

x = 14

A t-shirt company spent 28% of its annual budget developing a new heat-press machine. What fraction of the company's budget was spent developing the new machine?

Answers

Answer:

7/25

Step-by-step explanation:

plss help mee

Ethan drew the diagram below with the points labeled as shown.


Which point shows where the perpendicular lines meet?

A. Point W
B. Point X
C. Point Y
D. Point Z​

Answers

Answer:

B. Point X

Step-by-step explanation:

Perpendicular Lines meet at a 90° angle.

The height of a penny t seconds after being dropped down a well is given by the product
of (10 - 3t) and (10+ 31). Find the product and simplify.

Answers

t equals 3.3333 repeating

What is the area of a regular hexagon with perimeter of 90 ft?

Answers

Answer:

A=584.57

Step-by-step explanation:

A kite is designed on a rectangular grid with squares that measure 1 cm by 1 cm. A piece shaped like a rhombus within the kite will be reserved for the company logo. Use the grid to identify the perimeter and area of space reserved for the logo.
Please help!!

Answers

Answer: P = 4sqrt(29), A = 20cm^2

Explanation:

A broker charges 70 per square foot to install windows how much does it cost to install the windows shown

Answers

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