In right triangle ABC, ZB is the right angle and mZC = 30°. If AC= 10, what Is AB?
OA 5
OB. 5√3
OC 20
OD. 5√3

Answers

Answer 1

Answer:

i think its c wouldve helped if i saw a pic of the triangle tho

Step-by-step explanation:

Answer 2

The length of side AB is 5√3.

Option B is the correct answer.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

We can use trigonometry to solve this problem.

Let's start by finding the length of BC.

sin(30°) = BC/AC

sin(30°) = BC/10

BC = 5

Now, we can use the Pythagorean theorem to find the length of AB.

AB² = AC² - BC²

AB² = 10² - 5²

AB² = 75

AB = 5√3

Therefore,

The length of side AB is 5√3.

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Related Questions

A pole that is 2.8 tall casts a shadow that is 1.79 long. At the same time, a nearby building casts a shadow that is 42.25 long. How tall is the building? Round your answer to the nearest meter.

Answers

Answer:

The building is around 47 meters tall

Step-by-step explanation:

Pole:

tall/long

2.8/1.79

Building:

tall/long

x/42.25

Solve for x:

2.8/1.79 = x/42.25

1.79x = 84.5

x ≈ 47

Which two activities are examples of data collecting?
A. Graphing the heights of baseball players
B. Measuring the time between bus stops
C. Asking people what their favorite food is
D. Using the results of a race to predict who will win future races

Answers

Hello!

The 2 activities which represent data collecting are :

A. Graphing the heights of baseball playersC. Asking people what their favorite food is

➡ COLLECTING DATA

The two activities in the choices represents data collecting are:

A. Graphing the heights of baseball players

C. Asking people what their favorite food is.

Because, in collecting data we will asking or not asking but measuring the data th needed to represents.

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Use the drawing tools to form the correct answer on the number line. Graph the solution set to this inequality. 3x11 > 7x + 9 Drawing Tools Select Point Open Point Ray Click on a tool to begin drawing. -10 -8 -6 -4 -2 0 + Delete 2 4 Undo 6 ·00 8 Reset 10 Use the drawing tools to form the correct answer on the number line . Graph the solution set to this inequality . 3x11 > 7x + 9 Drawing Tools Select Point Open Point Ray Click on a tool to begin drawing . -10 -8 -6 -4 -2 0 + Delete 2 4 Undo 6 · 00 8 Reset 10​

Answers

Hello,

   3x - 11 > 7x + 9

⇔ -11 - 9 > 7x - 3x

⇔ - 20 > 4x

⇔ -20/4 > 4x/4

⇔ - 5 > x

⇔ x < - 5

The solution to the inequality 3x - 11 > 7x + 9 is x ∈ (-∞, 5) the graph is shown in the picture.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that:

The inequality is:

3x - 11 > 7x + 9

After simplification:

3x - 7x > 9 + 11

-4x > 20

-x > 5

Multiplying by a negative sign on both sides:

x < -5

The number line can be defined as the representation of the numbers on a straight line that goes infinitely on both sides.

After plotting on the number line:

x ∈ (-∞, -5)

Thus, the solution to the inequality 3x - 11 > 7x + 9 is x ∈ (-∞, 5) the graph is shown in the picture.

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For the following exercises, solve the equations below and express the answer using set notation.
11. | 6 − x | = 5

Answers

Answer: 0,11

Step-by-step explanation:

to solve this absolute value equation, you can remove the absolute value symbols and set 2 separate equations:
6-x=5

6-x=-5

solve them and you get the answers

Please help I’ll make Brainlest

Answers

Step-by-step explanation:

y = 1/x^2 => g

y = x^2 => a

y = (x)^1/3 => f

y = 1/x => b

find the solution of the polynomial 2x^2 - 3x

Answers

Answer:

(2x-3)x

Step-by-step explanation:

The question has grouping, for the answer you have to ungroup the problem to get your solution.

Consider the Expression

Answers

An equivalent expression with the rational denominator is,[tex](-8x+5)^ {\frac{-1}{2}}[/tex].Option A is correct from the drop-down menu.

What is a fraction simplification?

Fraction simplification is a method of fraction reduction that entails making a fraction as simple as possible.

This is accomplished by dividing the numerator and denominator by the biggest integer that divides both integers exactly.

A fraction is consist of the form p/q

Where,

P is the numerator and q is denominator

An equivalent expression with the rational denominator is,[tex](-8x+5)^ {\frac{-1}{2}}[/tex].

Hence option A is correct.

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A coordinate plane with a line drawn passing through the points (0, 3) and (1,1). which equation represents the graphed function? y = –2x 3 y = 2x 3 y = x 3 y = –x 3

Answers

Answer:

y = - 2x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 3 ) and (x₂, y₂ ) = (1, 1 )

m = [tex]\frac{1-3}{1-0}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2

the line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = - 2x + 3 ← equation of line

_____+29 ÷4 = 16
Fill in the blank, Please

Answers

Answer:

8.75 + 29 ÷ 4 = 16or8 3/4 + 29 : 4 = 16or 35/4 + 29 : 4 = 16

Step-by-step explanation:

_____+29 ÷4 = 16

Fill in the blank, Please

we can solve with an equation

x + 29 : 4 = 16

x + 7.25 = 16

x = 16 - 7.25

x = 8.75

--------------------

check

8.75 + 29 : 4 = 16

8.75 + 7.25 = 16

16 = 16

the answer is good

Answer:

35

Step-by-step explanation:

first u multiply by 4 to get 64

then subtract 29 to get

alison, beatrice and chole each had some books. alison gave beatrice and chole some books that doubled the number of books they had, lastly chole gave alison and beatrice some books that doubled the number of books they had. each of them had 32 books at the end. how many books did each of them have at first?

Answers

alison, beatrice and chole each of them have at first 56, 8, 32 books.

alison, beatrice and chole each had some books. alison gave beatrice and chole some books that doubled the number of books they had, lastly chole gave alison and beatrice some books that doubled the number of books they had. each of them had 32 books at the end.

What is Working backward?

Working backward is process in which calculation done in reverse direction.

let alison, beatrice and chole has x,y and z books initially,

alison gave beatrice and chole some books that doubled the number of books they had
alison, beatrice and chole has (96-2y-2z), (2y) , (2z)
chole gave alison and beatrice some books that doubled the number of books they had. each of them had 32 books at the end.

alison, beatrice and chole has 2(96-2y-2z), 2(2y) , (96-2(96-2y-2z)-4y)

at the end,
beatrice = 32

4y=32

y = 8

chole =32

96-2(96-2y-2z)-4y)=32
z=32

alison = 96-y-z

x=96-8-32
x=56

Thus the required alison, beatrice and chole each of them have at first 56, 8, 32 books.

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PLEASE HELP URGENT!!!!

Answers

Answer:

j fingertip was not an easy choice but

PLEASE HELP ILL GIVE BRAINLIEST!!!! I AM STUMPED AS I HAVE NOT PAYED ANY ATTENTION IN CLASS PLEASE HELP ME!!!!

Answers

Answer:

[tex]y=\frac{-2}{3} x-15[/tex]

Step-by-step explanation:

First draw a line. I will put it in an attachment so you can see the line.

Now choose to points on the line to use the slope formula.

(0,15) and (3,13).

Slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]

Plug in the information needed using the two points chosen.

[tex]\frac{13-15}{3-0}=\frac{-2}{3}[/tex]

The slope is [tex]\frac{-2}{3}[/tex].

Now use point-slope formula.

Point-slope formula: y-y1=m(x-x1)

y-15=[tex]\frac{-2}{3}[/tex](x-0)

y-15=[tex]\frac{-2}{3}[/tex]x-0

Subtract 15 from both sides.

y=[tex]\frac{-2}{3}[/tex]x-15

Hope this helps!

If not, I am sorry.

Raj was friends with his waitress so he left her a 90 percent tip.

Percents
Total
90%
10%
100%
10%
10%
10%
10%
10%
10%
10%
10%
10%
10%


x

If his tip was $27.54, what is the value of x in the table above?

Answers

The value on the table above will be $30.6. Then the correct option is D.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred.

Raj was friends with his waitress, so he left her a 90 percent tip.

If his tip was $27.54.

Then the value in the table above will be

⇒ $27.54 / 0.90

⇒ $30.6

Then the correct option is D.

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PLEASE HELPPPPP

For the first picture determine the equation of the parabola shown in the diagram in vertex form and for the second picture determine the equation of the parabola shown in the diagram in factored form.

Answers

Answer:

see explanation

Step-by-step explanation:

the equation of parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier.

here (h, k ) = (3, 1 ) , then

y = a(x - 3)² + 1

to find a substitute any other point on the graph into the equation.

using (0, 7 )

7 = a(0 - 3)² + 1 ( subtract 1 from both sides )

6 = a(- 3)² = 9a ( divide both sides by 9 )

[tex]\frac{6}{9}[/tex] = [tex]\frac{2}{3}[/tex] = a

y = [tex]\frac{2}{3}[/tex] (x - 3)² + 1 ← in vertex form

------------------------------------------------------

the equation of a parabola in factored form is

y = a(x - a)(x - b)

where a, b are the zeros and a is a multiplier

here zeros are - 1 and 3 , the factors are

(x - (- 1) ) and (x - 3), that is (x + 1) and (x - 3)

y = a(x + 1)(x - 3)

to find a substitute any other point that lies on the graph into the equation.

using (0, - 3 )

- 3 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )

1 = a

y = (x + 1)(x - 3) ← in factored form

Please help I will give brainliest

Answers

The option that represents the answers for 6, 8, 10, and 14 is the second option-   31, 41, 51, 71

Sequence and Series

From the question, we are to determine the option that represents the answer for pictures 6, 8, 10, and 14

In the given diagram,

The first picture requires 6 matches

The 2nd picture requires additional 5 matches

the 3rd  picture requires additional 5 matches

and so on

That is

1 → 6

2 → 6 + 5 = 11

3 → 11 + 5 = 16

4 → 16 + 5 = 21

5 → 21 + 5 = 26

6 → 26 + 5 = 31

7 → 31 + 5 = 36

8 → 36 + 5 = 41

9 → 41 + 5 = 46

10 → 46 + 5 = 51

11 → 51 + 5 = 56

12 → 56 + 5 = 61

13 → 61 + 5 = 66

14 → 66 + 5 = 71

Hence, the option that represents the answers for 6, 8, 10, and 14 is the second option-   31, 41, 51, 71

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(b) Figure 2 below is made up of 4 identical rectangles of length 4 cm and breadth 2 cm. What is the perimeter of Figure 2?



ASAP!! ​

Answers

Answer:

48 cm is the answer

Step-by-step explanation:

Using Perimeter of rectangle = 2(l+b)

=> 2(4+2)

=> 2(6)

=> 12

As 4 rectangles multiply by 4

so, 12 × 4

= 48

Any questions you may ask.

What is the Value of x in the figure below in this diagram ABD ~ CAD

Answers

Answer:

Step-by-step explanation:


Please help you don’t have to give an explanation just the answer!

Answers

Answer:

f(-2)=36 , f(-1)=12 ,f(0)=2, f(1)=6,f(2)=24

HELP ASAP
The lengths of two sides of a parallelogram are 5x + 4 and 2x + 3y. Identify an expression for the perimeter of the parallelogram.

Answers

Answer: 2(7x + 3y + 4) [unsimplified] or 14x + 6y + 8 [simplified]

Step-by-step explanation: The perimeter of a parallelogram is 2 * (the two sides.)

Adding 5x + 4 and 2x + 3y, we get 7x + 3y + 4 by combining like terms in the x terms.

Now, we multiply by 2. This is 2(7x + 3y + 4) or 14x + 6y + 8

The length of a rectangle is increased by 25% , but the width of the rectangle is decreased by 25%. By what percent was the rectangle's area decreased

Answers

The rectangle's area decreased by 19%.

Length = L

Breadth = B

Original area = L x B

New area = A = L x (1 + 25%) x B x (1 - 25%)

A = L x B x 0.25 x 0.75 = L x B x 1.05

Therefore the area of the rectangle has decreased by 19%.

To find the location of a rectangle, multiply its width by means of its height. If we understand the sides of the rectangle which are different lengths, then we have each the height and the width.

The perimeter P of a rectangle is given through the system, P=2l+2w, wherein l is the period and w is the width of the rectangle. The area A of a rectangle is given by means of the method, A=lw, in which l is the duration and w is the width.

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Which pairs of rectangles are similar polygons?

Select each correct answer.

(See image for details.)

Answers

The pairs of rectangles are similar polygons; Option C and Option D.

What is a polygon?

A polygon is a closed figure made up of three or more line segments connected end to end.

Similar polygon beings their sides have equivalent ratios to each other.

Two polygons whose corresponding angles are congruent and the lengths of the corresponding sides are proportional.

C. 1.89/2.1 = 81/0.9 = 90

D. 120 / 24 = 60 / 12 = 5

Hence, Option C and Option D are similar polygons only.

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Aiden works in a warehouse. 1,200 men work in the warehouse, while only 300 women work there. Write a ratio that compares men to women working at the warehouse. Question 2 options: 300 : 1,200 3 : 1 4 : 1 1,200 : 400

Answers

The ratio that compares the men to the women who work at the warehouse is 4 : 1.

What is a ratio?

A ratio is a value that shows the proportional relationship between two quantities.

A ratio indicates how many times one number is contained in another.

For example, in the above task, there is 4x the number of men when compared with the number of women who work at the warehouse.

Data and Calculations:

Men working at the warehouse = 1,200

Women working at the warehouse = 300

Ratio of men to women = 4 : 1 (1,200 : 300)

Thus, the ratio that compares the men to the women who work at the warehouse is 4 : 1.

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Answer: 4:1

i just took a test

Step-by-step explanation:

Select the correct answer. Which inequality is equivalent to the given inequality? -4(4+7) <3 ) x-2)

Answers

Answer:

x>-42

Step-by-step explanation:

I dont have time to explain de but thats the answer

Geometry question need help with it ASAP

Answers

Answer:-

DIY(do it yourself)

Choose the ordered pair which is the solution to: x + y = 5 and x − y = 1.

Answers

Answer is (3, 2)
Step by step
We know x + y = 5 ( call this a)
and x - y = 1 (call this b)
We want to change one to have the x variable on the opposite side of the =
So let’s change (b) by adding y to both sides to isolate x.
x - y + y = 1 + y
Combine terms
x =1 + y
Now we can substitute this new equation into (a)

1 + y + y = 5

Subtract 1 from both sides to isolate y
1 + y + y - 1 = 5 - 1
2y = 4
Now solve for y by dividing both sides by 2
y = 2

Now substitute your answer for y=2 into one of the equations
Let’s use (a) again
x + y = 5
x + 2 = 5
Isolate x by subtracting 2 from both sides
x + 2 - 2 = 5 - 2
Combine terms
x = 3

So you have ( 3, 2 )

Given the midpoint B (-41, 23), create 2 different set of end points that don’t have the same x or y value of the midpoint. Verify your points by solving for the midpoint and identify them as points G and H. Show your work to prove your answer
can someone pleas help

Answers

Using the mid-point concept, the set of points that has midpoint B(-41,23) is: G(10,10) and H(-92,36).

What is the mid-point concept?

The mid-point between two points is the halfway point between them, and is found using the mean of the coordinates.

In this problem, we have that:

The mid-point is B(-41,23).The other points are G(10,10) and H(x,y).

Hence the coordinates of H are found as follows:

[tex]-41 = \frac{10 + x}{2}[/tex]

10 + x = -82.

x = -92.

[tex]23 = \frac{10 + y}{2}[/tex]

10 + y = 46.

y = 46.

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please helpp

Answers

Answer:

(B). 86°

Step-by-step explanation:

The figure shows a circle circumscribed around a triangle.

Triangle U T V is inscribed within a circle. A point is at the center of the triangle. Lines are drawn from the points of the triangle to the point in the middle. Lines are drawn from the point in the middle to the sides of the triangle to form right angles.

What is constructed first when creating the circle?

perpendicular segments to the vertices of the triangle
perpendicular bisectors of the sides of the triangle
angle bisectors of each angle of the triangle
the incenter of the triangle

Answers

Option B is right perpendicular bisectors of the sides of the triangle

What circumcircle?

If we draw a circle through all the vertices of a triangle then the circle obtained is the circumcircle of the given triangle. We have in a triangle there are some properties inherent.

One is the perpendicular bisectors of all sides are concurrent. These three concur at a point called the circumcentre of the triangle.

When we draw a perpendicular bisector for a side AB, we get that all points on the perpendicular bisector are equidistant from A and B.

When we take the point of intersection of the perpendicular bisector of AB and BC, we have the intersecting point S(say) is equidistant from A and B and also from B and C

In short, this is equidistant from all 3 vertices and hence is the centre of the circumcircle of triangle ABC

Therefore Option B is right perpendicular bisectors of the sides of the triangle.

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I need answer quickly

Answers

Hello !

Answer:

Step-by-step explanation:

Pythagorean Theorem : a² + b² = c² ⇔ b² = c² - a²

Here, we have a = 4 and c = 6 so :

    b² = 6² - 4²

⇔ b² = 36 - 16

⇔b² = 20

⇔ b = √20  (and not b= -√20 because b ≥ 0)

Answer:

b = [tex]\sqrt{20}[/tex]

Step-by-step explanation:

Using the Pythagorean Theorem:

6² = 4² + b²

⇒ b² = 6² - 4²

⇒ b = [tex]\sqrt{6^2 - 4^2}[/tex]

⇒ b = [tex]\sqrt{36 - 16}[/tex]

⇒ b = [tex]\sqrt{20}[/tex]

Rsm Ch. 3 71...........................

Answers

answer = -20

7(x+23)= x - 1
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