Mathematics High School

What is the correct ratio?
Sin 40=w/28
Tan 40=w/28
Cos 40 = w/28
Sin 40 = 28/w

Answers

Answer 1

Answer:

As we know that

tanФ = opposite ÷ adjacent

Therefore, the correct ratio is:

tanФ = opposite ÷ adjacent

= w ÷ 28

= w/28

i.e.

tanФ = w/28

Step-by-step explanation:

As we know that

tanФ = opposite ÷ adjacent

Given the triangle with an angle of 40°.

As the opposite of an angle 40° is the length 'w', and adjacent to the angle

40° is the length '28'.

As we know that

tanФ = opposite ÷ adjacent

Therefore, the correct ratio is:

tanФ = opposite ÷ adjacent

= w ÷ 28

= w/28

i.e.

tanФ = w/28

Answer 2

Answer:As we know that tanФ = opposite ÷ adjacentTherefore, the correct ratio is:tanФ = opposite ÷ adjacent = w ÷ 28 = w/28i.e.tanФ = w/28Step-by-step explanation:As we know that tanФ = opposite ÷ adjacentGiven the triangle with an angle of 40°.As the opposite of an angle 40° is the length 'w', and adjacent to the angle 40° is the length '28'.As we know that tanФ = opposite ÷ adjacentTherefore, the correct ratio is:tanФ = opposite ÷ adjacent = w ÷ 28 = w/28i.e.tanФ = w/28

Related Questions

PLEASE HELP!!!!!
What is the equation of a line that is perpendicular to -x+2y=4 and passes through the point (-2,1) ?

Write the equation -x+2y=4 in slope-intercept form

Identify the slope of the line represented in part a.

What is the slope of the line perpendicular to the line in steps a and b?

Write the equation of the perpendicular line in slope-intercept form.

Answers

Answer:

y=1/2x+b

Step-by-step explanation:

-x+2y=4 = 2y=x+4

2y/2=(x+4)/2 = y=1/2x+2

1=1/2(-2)+b = 1=-1+b = 2=b

y=1/2x+2

slope= 1/2

y-intercept= 2

*/= division*

A pair of hikers, 18 miles apart, begin at the same time to hike toward each other. If one walks at a rate that is 1 mph faster than the other , and if they meet 2 hours later , how fast is each one walking?

Answers

The speed of first hiker is 4 mph and speed of second hiker is 5 mph.

Speed of hiker:

Let the speed of first hiker is x mph.

Since If one walks at a rate that is 1 mph faster than the other .

so taht speed of second hiker = (x + 1) mph

It is given that, pair of hikers are 18 miles apart and they meet 2 hours later .So that,

2x + 2(x + 1) = 18

2x + 1 = 9

2x = 9 - 1 = 8

x = 8/2 = 4

Hence, the speed of first hiker is 4 mph and speed of second hiker is 5 mph.

Learn more about the speed and distance here:

https://brainly.com/question/24295081

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Simplify the expression. − 5 + i/ 2 i

Answers

Answer:

-4.5

Step-by-step explanation:

Kim and Anthony start a dog walking business. During their first week, they paid $10 to make their business cards. Kim walked a dog for 15 minutes.
Part A - Which integers represent the dollar amounts either spent or earned during their first week Kim and Anthony were in business? Fill in all that apply.
$5 -$5 $10 -$10 -$6

Answers

Answer:

-10$

Step-by-step explanation:

Kim and Anthony spent 10 dollars on business cards and it does not say how much Kim earned for the dog walk so the correct integer is -10$

PLEASE HURRY MATH BREAINLEST HELP

Answers

Answer:

Step-by-step explanation:

531441 or 3^12

Will mark brainliest pls help thx

Answers

If you are considering speed regardless of direction, the average speed is:

(24 + 16) / 2 = 40 / 2 = 20mph

Although if direction matters, then one number has to be negative since the directions are opposite:

(24 - 16) / 2 = 8 / 2 = 4mph (in the positive direction)

Select all of the points that are solutions to the linear equation 2x + 9y = 54

Answers

good luck

Step-by-step explanation:

Using the triangle below, set up and solve an equation in order to find the value of x.

PLEASE HELP MEEE WILL GIVE YOU BRAINLIEST

Answers

Answer:

90+15x+8x-2=180

Step-by-step explanation:

answer is 4

have a great day love!

Answer:

The answer is 4

90+15x+8x-2=180

16 factory workers made 49 pieces in a certain amount of time. Do these quantities(number of workers and number of pieces produced) vary directly or inversely?

Please explain how you got it!!

Answers

Answer:

They would vary directly because more number of workers means more pieces in given time and vice versa.

Step-by-step explanation:

Based on the side-splitter theorem, which side length would complete the proportion? StartFraction J M Over M K = StartFraction L N Over question mark EndFraction JL KL NK NM

Answers

Answer:

The correct answer is third option N K

Answer:

Step-by-step explanation:

Given △ACP ≅ △LNX, find each missing measure.

Answers

9514 1404 393

Answer:

XL = 13 cm, m∠L = 29°

AC = 21 cm, m∠C = 29°

PC = 13 cm, m∠Y = ?? (there is no angle Y in the figure)

Step-by-step explanation:

The figure on the right shows the triangles are isosceles, with XL = XN. That means also PA = PC. Those side lengths are all the same: 13 cm.

PA = PC = XL = XN = 13 cm

In the same fashion, ...

LN = AC = 21 cm

Of course, the angles have a similar relationship:

∠A = ∠C = ∠L = ∠N = 29°

The two base angles in the triangle add to 58°, so the third angle is ...

180° -58° = 122°

∠P =∠X = 122°

_____

Additional comment

As is often the case in over-specified problems, the numbers shown are not consistent The attached figures show the length LN is actually incorrect for the angle and side specified for triangle ACP, or the angles are incorrect for the side lengths specified. What this means is that the answers you get will depend on how you work the problem. Above, we have taken the given numbers and relationships at face value, even though we know they are incorrect.

You are shopping for school supplies and want to decide where you should buy pencils from. SupplyCo sells a 10 pack of pencils for $0.95. SchoolShop sells a 10 pack of pencils for $1.45 but you have a $3.00 coupon. How many packs of pencils would you have to buy for the prices to be the same at each store?

Answers

Answer:

120 (60 from each store)

Step-by-step explanation:

Given that:

Price for 10 pack of pencils at SupplyCo = $0.95

Price for 10 pack of pencils at SchoolShop = $1.45

Discount coupon at SchoolShop = $3.00

Let the number of packs of pencils bought = [tex]2x[/tex] (in pack of 10)

Then [tex]x[/tex] will be the number of packs of 10 bought at each store.

Therefore, price at SupplyCo for [tex]x[/tex] packs (in pack of 10) = [tex]0.95x[/tex]

And price at SchoolShop for [tex]x[/tex] packs (in pack of 10) = [tex]1.45x-3.00[/tex] (because there is a coupon of $3.00)

As per question statement, price at both the stores is same:

[tex]0.95x=1.44x-3\\\Rightarrow 0.5x=3\\\Rightarrow x=6[/tex]

Therefore, number of packs bought = [tex]2x\times 10 = 2\times 6\times 10 =\bold{120}[/tex] (60 from each store)

24% of 398 what is it

Answers

Answer:

24 percent (calculated percentage %) of number 398,

Answer: 95.52

Step-by-step explanation:

hope it helps

Answer:

95.52

Step-by-step explanation:

we can describe 3x-2 as an expression.
how can we describe the parts of the expression the arrows point to

Answers

Answer:

we can describe the parts of the expression that the arrows

point to 3x-2 such as:

↑(x variable)

[tex]3x-2[/tex] ← (2 constant)

↓

(3 coefficient)

Step-by-step explanation:

Given the expression

[tex]3x-2[/tex]

As we have to describe the parts of the expression the arrows

point to [tex]3x-2[/tex].

we can describe the parts of the expression that the arrows

point to 3x-2 such as:

↑(x variable)

[tex]3x-2[/tex] ← (2 constant)

↓

(3 coefficient)

Therefore, it is clear that:

The upper arrow '↑' points to the variable part 'x' of expression which is 'x'.The lower arrow '↓' points to the coefficient part of the expression which is '3'.The arrow '←' points to the constant part of the expression which is '2'.

how do i find the value of x in -5 = .5x

Answers

Answer:

[tex] - 5 = 0.5x \\ \frac{ - 5}{0.5} = x \\ - 10 = x[/tex]

Answer: 62 Ft

Step-by-step explanation:

The shadow adds 13ft

How we know- 19 1/2 - 6 1/2 = 13 ft

So we need to take away 13ft to find out the goal post actual height

75-13= 62

what is 21uv+8b+3u+56bv?

Answers

Answer:

(1+7v) (3u+8b)

Step-by-step explanation:

Check the coefficents v is common in 21uv and 56bvb is common in 8b and 56bvu is common in 21u and 3uAdd and subtract the second term to the expression and factor by groupingCheck using FOIL: First,Outer,Inner,Last

Hope this helps!!

The required solution would be (1+7v)(3u+8b) of the given expression.

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

We have been given the expression as:

⇒ 21uv + 8b + 3u + 56bv

There is v common in 21uv and 56bv

There is b common in 8b and 56bv

There is u common in 21u and 3u

We have to Add and subtract the second term to the expression and factor by grouping, we get

⇒ (1+7v)(3u+8b)

Therefore, the required solution would be (1+7v)(3u+8b) of the given expression.

Learn more about the algebraic expression here :

brainly.com/question/21751419

#SPJ2

To win a trivia game, Nevan must score 90 points. Each correct answer is worth 134 points, and each incorrect answer is worth −14 points. If he gets 58 questions correct and 22 questions incorrect, does Nevan win? How many points does he score? Heats a beaker of water to a boil. Then he records that the water temperature decreases from 100°C to 19°C in 525 minutes. What was the change in temperature each minute? Enter your answer in the box.

Answers

Answer:

Yes, Nevan wins = 96

Step-by-step explanation:

58(7/4)-22(1/4) = 96

Can somebody solve this problem please

Answers

4cm because 11-7=4 hope this helps

Answer:

4cm.

Step-by-step explanation:

let x represent the missing number.

From the question:

7 + x = 11

x = 11 - 7 = 4cm.

Which statement is true about vertical angles. 1 point Vertical angles are congruent if two lines are parallel. If vertical angles are congruent, then two lines are parallel. Vertical angles are always congruent. Vertical angles are supplementary if two lines are parallel.

Answers

Answer:

Vertical angles are always congruent.

Step-by-step explanation:

Vertical angles are formed when two straight lines intersect each other, thereby forming two pairs of opposite angles, which are called vertical angles. Thus, a pair of these vertical angles formed are congruent to each other. So therefore, if two angles are said to be vertical angles, it follows that they are congruent to each other.

Using the diagram attached below, we can see two straight lines intersecting each other to form two pairs of vertical angles:

<a and <b,

<c and <d.

Thus, <a is congruent to <b, and <c is congruent to <d.

Therefore, the standby that is true about vertical angles is that:

Vertical angles are always congruent.

1/3x+1/2x=40 pls help

Answers

Answer:

3x+1=2x+40

We move all terms to the left:

3x+1-(2x+40)=0

We get rid of parentheses

3x-2x-40+1=0

We add all the numbers together, and all the variables

x-39=0

We move all terms containing x to the left, all other terms to the right

x=39

Step-by-step explanation:

Answer:

x = 48

Step-by-step explanation:

Original equation:

1/3x + 1/2x = 40

Add 1/3x to 1/2x

5/6x

Equation Now:

5/6x = 40

Divide both sides by 5/6

x = 48

Hope this helps :)

Please consider Brainliest :)

Reflect over the line y = x

Answers

Answer:

After the reflection over the line y=x, the image points are:

A'(-1, -2) B'(3, -1) C'(2, -3)

Step-by-step explanation:

We know that when a point is reflected cross the line y = x, the x-coordinate, and y-coordinate change places.

i.e.

The reflection of the point (x,y) across the line y = x is the point (y, x).

Given

A(-2, -1)B(-1, 3)C(-3, 2)

so after the points reflected cross the line y = x

P(x, y) → P'(y, x)

A(-2, -1) → A'(-1, -2)

B(-1, 3) → B'(3, -1)

C(-3, 2) → C'(2, -3)

Therefore, after the reflection over the line y=x, the image points are:

A'(-1, -2) B'(3, -1) C'(2, -3)

Yuson must complete 30 hours of community service. She does 2 hours each day. Which linear equation represents the hours Yuson has left after x days?
A. y = –2x + 30
B. y = 2x + 30
C. y = –2x – 30
D. y = 2x – 30

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this helps! :)

manoj buys a leather coat costing Rs.900 at Rs 990 after paying the vat . calculate the rate of VAT changed on the coat .

Answers

Step-by-step explanation:

Original cost = 900

Cost after VAT = 990

VAT amount = 990 - 900 = 90

Rate of VAT = 90/900×100 = 90/9 = 10%

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What is the correct ratio? Sin 40=w/28 Tan 40=w/28 Cos 40 = w/28 Sin 40 = 28/w

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What is the correct ratio?
Sin 40=w/28
Tan 40=w/28
Cos 40 = w/28
Sin 40 = 28/w