A yield sign is an equilateral triangle with a side length of 36 inches. What is the height (h) of the sign? Leave your answer in simplest radical form.

Answers

Answer 1

Answer:

18[tex]\sqrt{3}[/tex] inches

Step-by-step explanation:

Applying,

Pythagoras theorem,

a²= b²+c²

Where a = hypotenus, b = base of the triangle, c = height.

make c the subject of the equation

c = √(a²-b²)................. Equation 2

From the diagram attached,

Given: a = 36 in, b = (36/2) in = 18 in

Substitute these values into equation 2

c = √(36²-18²)

c = √(1296-324)

c = √(972)

c = √(972)

c = √(324×3)

c = 18[tex]\sqrt{3}[/tex] inches

A Yield Sign Is An Equilateral Triangle With A Side Length Of 36 Inches. What Is The Height (h) Of The

Related Questions

Help me find the mean mode range median

Answers

Answer:

Mean=2.53

median=2

mode=2

range=3

Step-by-step explanation:

1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4

MEAN

Add up all data values to get the sum

Count the number of values in your data set

Divide the sum by the count

38/15=2.53

MEDIAN

Arrange data values from lowest to the highest value

The median is the data value in the middle of the set

If there are 2 data values in the middle the median is the mean of those 2 values.

MODE

Mode is the value or values in the data set that occur most frequently.

RANGE

18-15=3

PLS HELPP FIRST TO BE CORRECT WILL GIVE BRANLIEST!!


Answers

Answer:

Step-by-step explanation:

BaF2 + Na2S = 2 NaF + BaS

Find the measures of the interior angles of the triangle

Answers

Answer:

45°, 110° & 25°

Step-by-step explanation:

We know,

x + 25° + x +65° = 180° (∵Sum of all interior angles of a triangle is 180)

or, 2x + 90 = 180°

or, 2x = 90°

∴ x = 45°

Now,

∡A = x° = 45°

∡B = x +65° = 45° + 65° = 110°

SOLVE 23 ASAP PLEASE!!

Answers

A = ( - 3 , 2 ) ..**&**.. B = ( 4 , 5 )

_________________________________

Slope = [ y(B) - y(A) ] ÷ [ x(B) - x(A) ]

Slope = [ 5 - 2 ] ÷ [ 4 - ( - 3 ) ]

Slope = [ 3 ] ÷ [ 4 + 3 ]

Slope = 3 ÷ 7

Slope = 3/7

_________________________________

y - y(A) = Slope × ( x - x(A) )

y - 2 = 3/7 × ( x - ( - 3 ) )

y - 2 = 3/7 ( x + 3 )

y - 2 = 3/7 x + 9/7

y = 3/7 x + 9/7 + 2

y = 3/7 x + 9/7 + 14/7

y = 3/7 x + 23/7

help me on this question

Answers

Answer:

x = 8

Step-by-step explanation:

It is given that the two polygons are similar, one property of similar polygons is that if one were to multiply each side length by a certain number (referred to as the ratio of similitude), they would get the side length of the corresponding side on the other polygon. To find the ratio one has to divide the side length of one polygon by its corresponding side length in the other polygon.

30 ÷ 25 = 1.2

Set up an equation by multiplying one side length by the ratio of similitude, set it equal to its corresponding side length in the other polygon;

1.2 (35) = 4x + 10

Simplify,

42 = 4x + 10

Inverse operations,

42 = 4x + 10

32 = 4x

8 = x

Answer:

Step-by-step explanation:

Use proportions to solve this and the similarity from smaller side to corresponding larger side:

[tex]\frac{s}{l}:\frac{25}{30}=\frac{35}{4x+10}[/tex] and cross multiply to solve for x:

1050 = 25(4x + 10) and

1050 = 100x + 250 and

800 = 100x so

x = 8

Can you please help solve and find value of x!

Answers

Answer:

32º

Step-by-step explanation:

Solve for sin(x). Then use inverse sine to get your angle measurement. From there, convert radians to degrees by multiplying by 180/π.

sin (x) = opp/hyp = 8/15

sin-1(8/15) = x = 0.56253 radians

0.56253 radians * 180/π = 32.23º

Round this to 32º

Pls help due in a few min

Answers

Answer:

3 and 5 show how to convert 18 inches into yards

Answer:

Numer 3 and number 5.

find the value of x
answers
118
62
82
28

Answers

Answer:

118°

Step-by-step explanation:

Don't think the answer is 62° this time both 118° and angle x are congruent.

What do I mean by that? Both angles measure the exact same thing.

The only difference is their line length (n) and (m).

can somebody help me pleaseeee, this is due at the end of the day! no links please!​

Answers

Answer:

You can tell that y=2 when x=4 by looking at the graph

Answer:

y = 2

Step-by-step explanation:

The equation is y = -x+6

Substituting 'x = 4' into this

y = -4+6

Hence, y = 2 when x =4

Feel free to mark this as brainliest :D

the function f(x) is graphed below. if f(n)=0 what is the value of n?

Answers

Answer:

n = 6

Step-by-step explanation:

f(n) = 0 is on the n- axis at (6, 0 )

When f(n) = 0 then n = 6

what is the algebraic expression of the difference of 4 times a and b?

Answers

Answer:

4(a+b)

Step-by-step explanation:

what is eight less than a number as an algebraic expression​

Answers

Answer: n-8

Step-by-step explanation: n represents the unknown number. You need to subtract 8 from the number since "less than" is another phrase to describe subtraction.

I hope this helps, have a nice day.

Anyone wanna help me

Answers

Answer:

w^2 -18w + 81

Step-by-step explanation:

Simply, what we have to do here is to divide the coefficient of w by 2, then square it

we have this as -18/2 = -9

Squaring is -9^2 = 81

Mr. McGregor has plowed a square plot of land to make a garden. The area of the square garden is 256 ft. To the 2nd power
What is the length of one side of the garden?
Answers:
16 ft
32ft
64ft
128ft

Answers

Answer:

16 ft

Step-by-step explanation:

Area = Side^2 = (s)^2 = 256, Side = 16.

So, 16 ft.

Mark this as Brainliest if this was correct! I really appreciate it! :D

Answer:

16ft

Step-by-step explanation:

=-= 50 Points =-= Must give the correct answer

Solve by equating exponents and using the Equality of Bases Property.


Solve (2)^x/2 = 16 for x

Answers

Answer:

x=5

Step-by-step explanation:

(2)^x/2 = 16

Multiply both sides by 2

(2)^x/2 *2 = 16*2

2^x = 32

Rewrite 32 as a power of 2

2^x = 2^5

x=5

Answer:

x=5

Step-by-step explanation:

(2)^x/2 = 16

Multiply both sides by 2

(2)^x/2 *2 = 16*2

2^x = 32

Rewrite 32 as a power of 2

2^x = 2^5

x=5

If using the method of completing the square to solve the quadratic equation x^2+5x+10=0x 2 +5x+10=0, which number would have to be added to "complete the square"?

Answers

Answer:

(5/2)² must be added to the equation to complete the square.

Step-by-step explanation:

The given equation is

x^2+5x+10=0

writing it in in square form

(x)² + 2(x) (5/2) + (5/2)²-(5/2)² + 10= 0

We multiply (5/2) to the mid term because we have to make 2x equal to 5x.

As the square formula tells that square of first element plus 2 into first element multiplied by second element plus square of second element.

Making 2x equal to 5x gives (5/2) as the second element.

Therefore add square of the second element but also subtract square of second element to make it equal to the given original equation.

Now we can solve it.

(x)² + 2(x) (5/2) + (5/2)²-(5/2)² + 10= 0

(x + 5/2)²-(5/2)² + 10= 0

(x + 5/2)²- 25/4+ 10= 0

(x + 5/2)²- 25*5 +10*5/4*5= 0

(x + 5/2)²-  125+50/20= 0

(x + 5/2)²-  175/20= 0

(x + 5/2)²=  175/20

In the right triangle shown, m A = 30° and AB = 12V3.
х
B
30
123
A
How long is AC?

Answers

Answer:

∴[tex]Cos A=\frac{AC}{AB}[/tex]

➛ [tex]Cos30=\frac{x}{12\sqrt{3} }[/tex]

➛ [tex]\frac{\sqrt{3} }{2} =\frac{x}{12\sqrt{3} }[/tex]

➛[tex]x=12\sqrt{3}*\frac{\sqrt{3} }{2}[/tex]

➛ [tex]x=18[/tex] ✓

➛[tex]AC=18[/tex] ✓

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

hope it helps...

have a great day!!

A spinner has 8 equal-sized sections. Six of the sections are green. What is the probability that the spinner will land on green?

_________ out of 8 or ________%

Answers

Answer:

6/8

Step-by-step explanation:

or to simplify it, it would be 3/4

The probability that the spinner will land on green is 6 out of 8 or 75%.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

Number of equal sections on the spinner = 8

Number of sections which are green = 6

Probability can be calculated as the ratio of number of desired outcomes to the total number of outcomes.

Here,

Desired outcome is the spinner landing on green.

Probability = 6/8 = 0.75 = 75%

Hence the probability is 6 out of 8 or 75%.

Learn more about Probability here :

https://brainly.com/question/29027275

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Please answer this math question please and fast

Answers

Answer:

its do9ne

Step-by-step explanation:

Answer:

its the one next to the yellow one. hope it helps.

Step-by-step explanation:

A parallelogram has a base of 9 km and a height of 5 km. A triangle has a base of 6 km and a height of 3 km. How many times greater is the area of the triangle?

Answers

Answer:

Parallelogram has greater area.

Step-by-step explanation:

Given:

Base of parallelogram = 9 km

Height of parallelogram = 5 km

Base of triangle = 6 km

Height of triangle = 3 km

Find:

Greater area

Computation:

Area of parallelogram = Base x Height

Area of parallelogram = 9 x 5

Area of parallelogram = 45 km²

Area of triangle = (1/2)(b)(h)

Area of triangle = (1/2)(6)(3)

Area of triangle = (1/2)(18)

Area of triangle = 9 km²

Parallelogram has greater area.

In the diagram below, OP is circumscribed about quadrilateral ABCD. What is
the value of x?

Α. 88
Β. 82
C. 98
D. 90

Answers

Answer:

82°

Step-by-step explanation:

That is the correct answer to put it simply

The measure of x from the quadrilateral inscribed inside the circle is given by x = 82°

What is a Circle?

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the circle be represented as P

Now , the quadrilateral inscribed inside the circle be ABCD

where the measure of m∠A = 98°

The measure of m∠B = 90°

Now , the opposite angles of a quadrilateral inscribed inside a circle are supplementary

So , measure of ∠A + measure of ∠C = 180°

On simplifying , we get

98° + x° = 180°

Subtracting 98° on both sides , we get

x = 180° - 98°

x = 82°

Therefore , the measure of x is 82°

Hence , the value of x of the quadrilateral inside circle is 82°

To learn more about circle click :

https://brainly.com/question/28391204

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A ship is sighted from the top of a lighthouse. The angle of depression from the lighthouse to the ship is 45degrees. The distance from the top of the lighthouse directly to the ship is 4miles.Calculate the horizontal distance of the ship from the bottom of the lighthouse

Answers

Answer:

[tex]2\sqrt{2} \text{ mi}[/tex]

Step-by-step explanation:

See the attached image for a picture of the situation.  The angle of depression lets you find the angle next to it but inside the triangle.  It, too, must measure 45 degrees.

That means the triangle is an isosceles triangle (two legs of equal length).

Apply the Pythagorean Theorem.

[tex]x^2+x^2=4^2\\2x^2=16\\x^2=18\\x=\sqrt{8}=2\sqrt{2}\approx 2.83\text{ mi}[/tex]

Round answers to the nearest tenth if necessary.

1. the measure of arc JI is ?? degrees

2. the measure of arc IJH is ?? degrees

3. the measure of angle IKH is ?? degrees

Answers

Answer:

a) mJI = m∠JKI = 125°, same measure as central angleb) mIJH = 360° - (180° - 125°) = 305°, same as central angle ∠IJHc) m∠IKH = 180° - 125° = 55°, supplementary with ∠JKI

Please help me for my cousin

Answers

all you have to do is plot the points to the corresponding numbers. for example, for the scorpions the number 55 is repeated three times so in the number line for the scorpions you’ll put 3 dots above the number 55

When the log (of the same base) is the outermost step on both sides of the equation, the logs ___.
1. are added
2. are divided
3. are subtracted
4. cancel out
5. are multiplied

Answers

Answer:

cancel out

Step-by-step explanation:

May you help me with this❤️

Answers

Answer:

9.50x+130 > 700

Step-by-step explanation:

Answer:

9.50x+130> 700 I believe is the right answer.

Step-by-step explanation:

You need to have over $700 after adding $130 to your profit from mowing, which is $9.50 an hour.

x equals how may hours

9.50x + 130 > 700

find the slope for me please (2, -5) (7, -5)

Answers

Answer:

slope=y2-y1/x2-x1

=-5+5/7-2

=0/5

=0

Step-by-step explanation:

.. Solve using substitution.
2x - 5y = 12
x = -9

Answers

Answer:

2x–5y = 12

2(–9)–5y = 12

–18–5y=12

–5y=12+18

–5y=30

y= –30/5

y= – 6

(x,y) —> (–9,–6)

The double box-and-whisker plot shows the numbers of correct answers on a test for each student in Room 212 and Room 214.


(a) Compare the populations using measures of center and variation.


(b) Express the difference the measures of center as a multiple of each measure of variation.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Using the Median (measure of center) and range

Room 212 :

Median = 20

Range = maximum - minimum = (22 - 15) = 7

Interquartile range = Q3 - Q1

Q3 = 21

Q1 = 19

IQR = 21 - 19 = 2

ROOM 214 :

Median = 22

Range = maximum - minimum = (25 - 16) = 9

Interquartile range = Q3 - Q1

Q3 = 23

Q1 = 20

IQR = 23 - 20 = 3

Evaluate the expression when x = 4 and y = 5.

3x2 + 4yº.x-1


Answers

Answer:

49

Step-by-step explanation:

Plug in 4 for x and 5 for y

[tex]3x^{2}+4y^{0}*4^{-1} \\3*4^{2} +4*5^{0}*4^{-1} \\3*16+4*5^{0}*4^{-1} \\[/tex]

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