Given that x = 7.3 m and θ = 40°, work out AB rounded to 3 SF.

Given That X = 7.3 M And = 40, Work Out AB Rounded To 3 SF.

Answers

Answer 1

Answer:

AB ≈ 4.69

Step-by-step explanation:

using the sine ratio in the right triangle

sinΘ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{AB}{x}[/tex] , then

sin40° = [tex]\frac{AB}{7.3}[/tex] ( multiply both sides by 7.3 )

7.3 × sin40° = AB , then

AB ≈ 4.69 ( to 3 sf )


Related Questions

I woke up in the middle of the night​

Answers

Answer:

well u should go to sleep and get u some rest

3pqt-4wt+tpq-2rw. What is the answer I need it right now I have to submit this in like 9 minutes

Answers

Answer:

im not sure but i could try and work it out

Answer: 4pqt - 4tw - 2rw

Explanation:

3pqt - 4tw + tpq - 2rw

3pqt - 4tw + pqt - 2rw

= 4pqt - 4tw - 2rw

Six more than the quotient of twice a number and 3

Answers

Answer:

2x/3+6

Step-by-step explanation:

The quotient of twice a number and 3, is 2x divided by 3. Six more is 2x/3+6

A man saves $85.50 each month. Up to now he has saved $2137.50. How much were his total savings
15 months ago?

Answers

Answer:

$855.00

Step-by-step explanation:

85.50 x 15 = 1,282.50

2,137.50 - 1,282.50 = 855.00

The longest fingernails ever recorded were 8.650 meters. How long were the fingernails in a feet and inches? ​

Answers

Answer: 28 feet and 4.5 inches

8 meters = 26.24...

.650 meters = 25 inches.

25 inches = 2 feet 1 inch

28 and 4.5 inches is your answer.

HELPPP I’m in class rn .

Answers

Answer:

C: (4,5)

Step-by-step explanation:

The solution is where the two lines intersect.

4. Tanya has the equation x - 2 = 2x - 4. She states that adding x + 2 to both sides will keep the
solution set the same because of the additive property of equality. Diego states that you could
also multiply both sides of Tanya's equation by x+2 and have the same solution set because of
the multiplicative property of equality.
a) is tanyas statement correct?
b)is diego’s statement correct ?

Answers

Answer:

Tanya is correct.

Step-by-step explanation:

a). Tanya has the equation,

   x - 2 = 2x - 4

   x - 2x = 2 - 4

  -x = -2

   x = 2

  By adding (x + 2) on both the sides of the equation,

  (x - 2) + (x + 2) = (2x - 4) + (x + 2)

  2x = 3x - 2

  2x - 3x = -2

  x = 2

Tanya is correct.

b). By Diego's statement

   (x - 2)(x + 2) = (2x - 4)(x + 2)

   x² - 4 = 2x²- 8

   x² - 2x² = 4 - 8

   -x² = -4

    x² = 4

    x = ±2

 Therefore, Diego's statement is incorrect.

Helpppp hmmm guys sos plis stan nct help

Answers

Answer:

3

explanation:

[tex]\rightarrow \sf \sf \dfrac{36}{3a}[/tex]

[tex]\rightarrow \sf \sf \dfrac{36}{3(4)}[/tex]

[tex]\rightarrow \sf \sf \dfrac{36}{12}[/tex]

[tex]\rightarrow \sf \sf 3[/tex]

Express 13 + 5-14 as a complex number.

Answers

Answer:

the answer is 4

Step-by-step explanation:

Answer:

13+5-14 is equaled to 4 so if i do 18-14 is will still give me 4 because 13+5 is 18 so 18- 14 is 4

CAN ANYONE HELP KE WITH THESE TWO QUESTIONS AND SOLVE I WILL GIVE BRANIEST

Find the volume of the cylinder.

Find the volume of a cylinder with the same radius and double the height.

Answers

Answer:

Original cylinder:

Exact: [tex] V = 243 \pi~in.^3 [/tex]

Approximate: [tex] V = 763.4~in.^3 [/tex]

Double height cylinder:

Exact: [tex] V = 486 \pi~in.^3 [/tex]

Approximate: [tex] V = 1526.8~in.^3 [/tex]

Step-by-step explanation:

Original cylinder:

[tex] V = \pi r^2 h [/tex]

[tex]V = \pi \times (9~in.)^2 \times 3~in.[/tex]

Exact: [tex] V = 243 \pi~in.^3 [/tex]

Approximate: [tex] V = 763.4~in.^3 [/tex]

Cylinder with the height doubled:

[tex] V = \pi r^2 h [/tex]

[tex]V = \pi \times (9~in.)^2 \times 6~in.[/tex]

Exact: [tex] V = 486 \pi~in.^3 [/tex]

Approximate: [tex] V = 1526.8~in.^3 [/tex]

so for the first question its answer is 763.02 in and for the second one its 1,526.04

Step-by-step explanation:

1.

V = π r^2h

π = 3.14

V = 3.14 x 9^2 x 3

V= 3.14 x 81 x 3

V = 3.14 x 243

V = 763.02 in

2.

So we already know that 9^2 is 81 and that double 3 is 6

V = 3.14 x 81 x 6

V = 3.14 x 486

V = 3.14 x 486

V = 1,526.04 in

What is the midpoint between (-6, 3) and (4, 9)?​

Answers

Answer:   (-1, 6)

======================================================

Explanation:

The x coordinates of the two points are -6 and 4. They add to -6+4 = -2. Cut this in half to get -2/2 = -1.

The y coordinates of the two points are 3 and 9. They add to 3+9 = 12. Cut this in half to get 12/2 = 6.

The midpoint formula is

[tex]\left(x_m, y_m) = \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)[/tex]

In short, you add the corresponding coordinates and then divide by 2.

Please help me out it’s urgent

Answers

Perimeter:

[tex]6y + 12[/tex]

Area:

[tex] {2y}^{2} + 12y[/tex]

Step-by-step explanation:

Perimeter of a rectangle : P= 2( L + w)

in this case it would be 2(y+6) + 2(2y)

= 2y+12 + 4y

simplified to 6y +12

Area of a rectangle : A= LW

=(y+6)(2y)

We foil and get

[tex] {2y}^{2} + 12y[/tex]

KT is tangent to circle L and the central angle mZTLK = 55°. What is mZLKT? K T L​

Answers

The measure of m<LKT from the figure is 35 degrees

Tangential line to a circle

Line tangential to a circle is at 90 degrees to the circle.

Given the following parameter

m<TLK = 55 degrees

According to the theorem above:

m<TLK + m<LKT = 90

m<LKT = 90- m<TLK
m<LKT = 90 -55

m<LKT  = 35 degrees

Hence the measure of m<LKT from the figure is 35 degrees

Learn more on circle theorem here:

https://brainly.com/question/26594685

For each diagram below, write and solve an equation.

Answers

A. 2x + 7 = 13
2x = 13-7
2x= 6
X = 6/2
X=3

B. 2n + 24 = 44
2n= 20
N= 10

ILL MARK U BRILLIANT PLEASE I NEED HELP
1.In which three ways can you represent a relationship between two quantities?

1.

2.

3.

Answers

Answer:

table, graph or equation

Which of the following does an appropriately cautious reading of a receipt entail? I. Making sure that the items charged are the same as the items received. II. Asking for a second copy for your records. III. Checking to see if all of the discounts were applied properly.

Answers

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

it wouldn't be asking for a second copy of your records, but both , making sure that the items charged are the same as the items received and Checking to see if all of the discounts were applied properly is correct

21+4(3^2-5)

PLEASE ANSWER FAST​

Answers

37

Step-by-step explanation:

21 + 16

HOPE THIS HELPS!

Answer: 37
(3^2 -5) = (9-5)
21+4(4)
21 + 16
37

What is the measure of x?
Angles are not necessarily drawn to scale.

Answers

Answer:

180-97=83

x=83

Step-by-step explanation:

180 - 97 = 83. Always remember when there is a straight line it is equal to 180.

I need answer I am having brain damage : (

Answers

Answer:

a = 8/3b or b = 3/8a

Step-by-step explanation:

The fractions present in the table, 24/9 and 40/15, are equivalent to 8/3, showing a linear relationship between the variables a and b. Knowing this, reducing any of the 3 fractions to its lowest form will allow you to find the information necessary to develop an equation. As 8/3 turns out to be the simplest form of any of the fractions, the equation is a = 8/3b, or, if you decide to reverse the variables, b = 3/8a.

evaluate the expression when a=-2 and y=7. 8y-a

Answers

Answer:

58

Step-by-step explanation:

Given :-

a = -2y = 7

To solve :-

8y - a

Solving :-

8(7) - (-2)56 + 258

Answer:

58

is the final answer

Step-by-step explanation:

8(7)- (-2)=

56 +2= 58

Nick buys a sleeping bag online for $70.16. If shipping and handling are an additional 25% of the price, how much shipping and handl]ing will Nick pay?

Answers

Answer:

$17.54

Step-by-step explanation:

Given the following question:

25% of 70.16

To find the answer we simply use the formula to calculate percentages to find 25% of 70.16. Of course, round if needed.

[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{25\times70.16}{100} =1754\div100=17.54[/tex]
[tex]=17.54[/tex]

The sleeping bags shipping, and handling will cost "$17.54."

Hope this helps.

match each sequence with one of the recursive definitions. note that only the part of the definition showing the relatopmship between the current term and the precious term is giving so as not to give away the solutions. one of the sequences matches two recursive definitions. a. a(n) = a(n-1)-4 b. b(n)=b(n-1)+0 c. c(n)= -1/2 x c(n-1) d. d(n)=1xd(n-1)

Answers

9514 1404 393

Answer:

A C B, D

Step-by-step explanation:

1. The common difference is -4, which matches recursive relation A.

2. Signs alternate, so the common ratio must be negative, matching recursive relation C.

3. The common difference is 0, and the common ratio is 1, so both relations B and D are a match.

_____

An arithmetic sequence with common difference d can be described by the recursive relation ...

  f(n) = f(n-1) +d

A geometric sequence with common ratio r can be described by the recursive relation ...

  f(n) = r·f(n-1)

One typically has to look at only the first three terms to determine if they have a constant difference or a constant ratio.

PLS HELP YEAR 8 MATHS

Answers

Answer:

c, d, and h are parallel

Step-by-step explanation:

parallel lines are when the slope is the same and the y-intercept is different

a. y = 2x - 3

b. y = -3x + 7

c. y = -2x + 4

d. y = -2x + 2

e. y = 1/3x - 3

f. y = x/2 + 7/2

g. y = -x/3 + 8/3

h. y = -2x + 5

c, d, and h all have the same slope of -2 and contain different y-intercepts

HELP! pls helpppppppppppppppppppp

Answers

Ans: 4(x + 6)(x +10)

Answer:

4(x+6)(x+10)

Step-by-step explanation:

4(x^2 + 16x + 60)

4(x+6)(x+10)

and x=-6 and x=-10

In the equation x square + 5x - 14 =0, the solutions are?​

Answers

Answer:

-2,7

Step-by-step explanation:

[tex]\huge\bold\red{Answer:-}[/tex]

Step by step solution :

STEP 1 : Trying to factor by splitting the middle term

1.1 Factoring x2+5x-14

The first term is, x2 its coefficient is 1 .

The middle term is, +5x its coefficient is 5 .

The last term, "the constant", is -14

Step-1 : Multiply the coefficient of the first term by the constant 1 • -14 = -14

Step-2 : Find two factors of -14 whose sum equals the coefficient of the middle term, which is 5 .

-14 + 1 = -13

-7 + 2 = -5

-2 + 7 = 5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and 7

x2 - 2x + 7x - 14

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-2)

Add up the last 2 terms, pulling out common factors :

7 • (x-2)

Step-5 : Add up the four terms of step 4 :

(x+7) • (x-2)

Which is the desired factorization.

Equation at the end of step 1 :

(x + 7) • (x - 2) = 0

STEP 2 : Theory - Roots of a product

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2 Solve : x+7 = 0

Subtract 7 from both sides of the equation :

x = -7

Solving a Single Variable Equation:

2.3 Solve : x-2 = 0

Add 2 to both sides of the equation :

x = 2

Supplement : Solving Quadratic Equation Directly

Solving x2+5x-14 = 0 directly

Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex:

3.1 Find the Vertex of y = x2+5x-14

For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is -2.5000

Plugging into the parabola formula -2.5000 for x we can calculate the y -coordinate :

y = 1.0 * -2.50 * -2.50 + 5.0 * -2.50 - 14.0

or y = -20.250

Parabola, Graphing Vertex and X-Intercepts :

Root plot for : y = x2+5x-14

Axis of Symmetry (dashed) {x}={-2.50}

Vertex at {x,y} = {-2.50,-20.25}

x -Intercepts (Roots) :

Root 1 at {x,y} = {-7.00, 0.00}

Root 2 at {x,y} = { 2.00, 0.00}

Solve Quadratic Equation by Completing The Square

3.2 Solving x2+5x-14 = 0 by Completing The Square .

Add 14 to both side of the equation :

x2+5x = 14

Now the clever bit: Take the coefficient of x , which is 5 , divide by two, giving 5/2 , and finally square it giving 25/4

Add 25/4 to both sides of the equation :

On the right hand side we have :

14 + 25/4 or, (14/1)+(25/4)

The common denominator of the two fractions is 4 Adding (56/4)+(25/4) gives 81/4

So adding to both sides we finally get :

x2+5x+(25/4) = 81/4

Adding 25/4 has completed the left hand side into a perfect square :

= x2+5x+(25/4)

= (x+(5/2)) • (x+(5/2))

= (x+(5/2))2

Things which are equal to the same thing are also equal to one another. Since

x2+5x+(25/4) = 81/4 and

x2+5x+(25/4) = (x+(5/2))2

then, according to the law of transitivity,

(x+(5/2))2 = 81/4

We'll refer to this Equation as Eq. #3.2.1

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

= (x+(5/2))2 is

= (x+(5/2))2/2

= (x+(5/2))1

=x+(5/2)

Now, applying the Square Root Principle to Eq. #3.2.1 we get:

x+(5/2) = √ 81/4

Subtract 5/2 from both sides to obtain:

x = -5/2 + √ 81/4

Since a square root has two values, one positive and the other negative

x2 + 5x - 14 = 0

has two solutions:

x = -5/2 + √ 81/4

or

x = -5/2 - √ 81/4

Note that √ 81/4 can be written as

√ 81 / √ 4 which is 9 / 2

Solve Quadratic Equation using the Quadratic Formula

3.3 Solving x2+5x-14 = 0 by the Quadratic Formula .

According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :

- B ± √ B2-4AC

x = ————————

2A

In our case, A = 1

B = 5

C = -14

Accordingly, = B2 - 4AC

=25 - (-56)

= 81

Applying the quadratic formula :

-5 ± √ 81

x = —————

2

Can √ 81 be simplified ?

Yes! The prime factorization of 81 is

3•3•3•3

To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).

√ 81 = √ 3•3•3•3 =3•3•√ 1

= ± 9 • √ 1

= ± 9

So now we are looking at:

x = ( -5 ± 9) / 2

Two real solutions:

x =(-5+√81)/2=(-5+9)/2= 2.000

or:

x =(-5-√81)/2=(-5-9)/2= -7.000

Two solutions were found :

x = 2 x = -7

Question 17
1 pts
Determine whether QR and ST are parallel, perpendicular,
or neither.
Q(-6, 11), R (2, -1), S(-4, 8), T(-1, 10)

Answers

Answer:

Perpendicular

Step-by-step explanation:

Remember that:

Two lines are parallel if their slopes are the same. Two lines are perpendicular is their slopes are negative reciprocals. And two lines are neither (a.k.a intersecting) if they are neither parallel nor perpendicular.

So, let's find the slope of QR and ST.

QR)

We can use the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let Q(-6, 11) be (x₁, y₁) and R(2, -1) be (x₂, y₂). Substitute:

[tex]m=\frac{-1-11}{2-(-6)}[/tex]

Subtract:

[tex]m=-12/8=-3/2[/tex]

So, the slope of QR is -3/2.

ST)

Let S(-4, 8) be (x₁, y₁) and T(-1, 10) be (x₂, y₂). Substitute:

[tex]m=\frac{10-8}{-1-(-4)}[/tex]

Subtract:

[tex]m=2/3[/tex]

So, the slope of ST is 2/3.

The negative reciprocal of -3/2 is 2/3.

And the negative reciprocal of 2/3 is -3/2.

So, the slopes are indeed negative reciprocals of each other.

So, QR and ST are perpendicular.

Perpendicular     hope this helped

Can someone help with the last question I by accidentally pressed true tho

Answers

Answer:

The answer is True.

Step-by-step explanation:

-3x - 10 > -31

-3(5) - 10 > -31

-15 - 10 > -31

-25 > -31

True.

true hope it helps lmk

Jan went grocery shopping and only bought items which had been marked down. The items she bought, along with their prices, can be seen below. Item Final Price Markdown Chicken $8. 47 15% Milk $2. 16 20% Onions $0. 89 10% Potato chips $1. 45 12% Oranges $1. 36 25% Flour $4. 39 18% Compared to if she had bought no items on sale, by what percent was Jan’s total grocery bill discounted? Round to two decimal places. A. 15. 85% b. 16. 50% c. 16. 65% d. 17. 50%.

Answers

The percent Jan’s total grocery bill discounted when she bought no items on sale is 16.65%.

What is percentage ?

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.

Jan went grocery shopping and only bought items which had been marked down.

The items she bought, along with their prices, can be seen below.

Item               Final Price    MarkdownChicken           $8. 47            15% Milk                  $2.16              20% Onions             $0. 89            10% Potato chips    $1. 45             12% Oranges           $1.36             25% Flour                 $4. 39            18%

Total price of the items is $18.72. Now find out the original price using the above formula for each of the item. The sum of original price of all the items will be $22.46.

Thus, the discounted price will be,

[tex]P_d=\dfrac{18.72}{22.46}\times100\\P_d=83.35\%[/tex]

The overall markdown is,

[tex]\rm Markdown=100-18.35\\\rm Markdown=16.65\%[/tex]

Thus, the percent Jan’s total grocery bill discounted when she bought no items on sale is 16.65%.

Learn more about the percentage here;

https://brainly.com/question/24304697

If 2 inches on a map represents 25 miles, how many inches would represent 225 miles?​

Answers

Answer:

18 inches

Step-by-step explanation:

It would be 18 inches because if 2 inches represent 25 miles and 225 divided by 25 is 9 that would mean 18 inches would be 225 because instead of it being 25*18=225 which it doesn't it would be 12.5*18=225 which is true

If you split an equilateral triangle exactly in half you create two Right 45 triangles or 30-60-90 triangles​

Answers

Answer:

30-60-90

Because the angle of 60 splits and you get two 30 and the 90

Step-by-step explanation:

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