An equilateral triangle has a side length of 12sqrt(3) inches. What is the length of the altitude of the triangle?
HELP ASAP

Answers

Answer 1

Answer:

18 inches.

Step-by-step explanation:

Let x inches be the altitude of the triangle.

By Pythagoras Theorem,

[6sqrt(3)]^2 + x^2 = [12sqrt(3)]^2

108 + x^2 = 432

x^2 = 324

x = 18

So the altitude of the triangle is 18 inches.


Related Questions

And remember the little $4308 pizza-mistake? How many weeks would you have
to work to pay for this mistake with the $13 bounced check? Round up to the next
whole week.
weeks

Answers

The answer would be 331 weeks rounded. Just divide.

It required 332 weeks to pay the whole amount.

Given that,

Amount to repay = $4308
Amount to be repaid in a week = $13
The number of weeks that will be consumed is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Let the number of weeks be x,
By arithmetic operations

13x = 4308
x = 4308 / 13
x = 331.34
x ≈332 weeks

Thus, It required 332 weeks to pay the whole amount.

Learn more about arithmetic here:

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Triangle ABC has vertex coordinates A(0, -3), B(-1,0), and C(-2, -1). It is
reflected across the x-axis. What are the coordinates of A'B'C?
O A. A'(3,0), B'0,1),C'(1.-2)
B. A'(0,3). B'(-1,0).C1-2,1)
C. A'0.-3).B'(1,0).C12,-1)
D. A'(-3,0).B'0.-1).C'(-1,-2)

Answers

9514 1404 393

Answer:

  B.  A'(0,3), B'(-1, 0), C'(-2, 1)

Step-by-step explanation:

The transformation for reflection across the x-axis is ...

  (x, y) ⇒ (x, -y) . . . reflection across the x-axis

Then ...

  A(0, -3) ⇒ A'(0, 3) . . . . . . matches choice B only

Who ever helps gets barinliest.​

Answers

Answer:

1/8

Step-by-step explanation:

The second option is the answer

In the Equation 4x + 3y = 7 which value is a coefficient

Answers

The co-efficient value is "4 and 3".

Coefficient equation:

[tex]\to 4x + 3y = 7[/tex]

Using the standard form to calculate value:

[tex]\to ax+bx+c=0[/tex]

compare the above value:

[tex]\to 4x + 3y -7=0\\\\\to ax + by +c=0\\\\[/tex]

co-efficient of x = 4

co-efficient of y = 3

constant term= -7

Therefore, the final answer is "4,3".

Learn more about the coefficient here:

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Ellie and Isaiah are helping their friend Nora move, off Ellie can move 4 boxes for every 16 boxes that Isaiah moves, then how many boxes can Isaiah move for every box that Ellie move?​

Answers

ANSWER; Work with a good mind and you can do it with know body help                  Step-by-step explanation:

What percent of 40 is22 ?

Answers

Answer: 181.82

Explanation:

Step 1: We make the assumption that 22 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100%=22.

Step 4: In the same vein, x%=40.

Step 5: This gives us a pair of simple equations:

100%=22(1).

x%=40(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the left hand side of both equations have the same unit (%); we have

100 percent/X percent = 22/40

Step 7: Taking the inverse (or reciprocal) of both sides yields

100 percent/X percent = 40/22

X = 181.82%

Therefore, 40 is 181.82% of 22.

Hope this helps^-^.

The table shows the proportional relationship y=kx. Which is the unit rate,k?
Pls help

Answers

Answer:

[tex]k=\frac{4}{7}[/tex]

Step-by-step explanation:

The equation [tex]y=kx[/tex] represents a proportional relationship that always passes through the origin. Excluding of the origin, you can plug any [tex](x,y)[/tex] coordinate into this function to get [tex]k[/tex].

Using the first coordinate, we have:

[tex]4=k(7),\\k=\frac{4}{7}[/tex]

Verify that [tex]y=kx[/tex] works for the other coordinates [tex]\checkmark[/tex]

Thus, the value of constant [tex]k[/tex] is [tex]\fbox{$\frac{4}{7}$}[/tex].

A 24-foot ladder leaning against a wall makes a 30 ° angle with the ground . How high up on the building is the top of the ladder ?
HELP ASAP

Answers

Answer:

[tex]12\:\mathrm{ft}[/tex]

Step-by-step explanation:

When the ladder is leaning against the wall, a 30-60-90 triangle is formed. The ladder acts as a 24-foot hypotenuse. Because the height is facing the [tex]30^{\circ}[/tex] angle, the height is half the hypotenuse (30-60-90 rules). If you forget the side rules for a 30-60-90 triangle, simply use basic trig on the right triangle:

[tex]\sin 30^{\circ}=\frac{h}{24},\\h=24\sin 30^{\circ},\\h=24\cdot \frac{1}{2},\\h=\fbox{$12\:\mathrm{ft}$}[/tex].

Explain how you have solved for x and show your workings out. I will award the brainliest 25 points!

Answers

Answer:

The value of [tex]x[/tex] is 10º.

Step-by-step explanation:

From Euclidean Geometry we remember that the sum of internal angles within a triangle equals to 180º. We present the resulting triangle after applying some geometric handling in the image attached below. Then, the triangle satisfies the following equation:

[tex]100^{\circ} + (80^{\circ}-5\cdot x)+(4\cdot x +10^{\circ}) = 180^{\circ}[/tex] (1)

[tex]190^{\circ} - x = 180^{\circ}[/tex]

[tex]x = 10^{\circ}[/tex]

The value of [tex]x[/tex] is 10º.

Generalize Algebra Find the unknown number.
15. 12, 24, 36, ____

Answers

Answer:

48

Step-by-step explanation:

Count by 6

The sequence is simply going up in 12s. 12+12 is 24. 24+12 is 36. 36+12 is 48 and therefore the answer is 48.

What is the area of Triangle PQR on the grid?
A. 2 square units
B. 3 square units
C. 4 square units
D. 8 square units​

Answers

Answer: It’s C. 4 square units

Step-by-step explanation:

What is the value of 16 - 3k + 5 when k = 4?

Answers

Answer:

9

Step-by-step explanation:

Substitute 4 as k into the equation.

16 - 3(4) + 5

simplify

16 - 12 + 5

4 + 5

9

The answer is 9.

Answer:

9

Step-by-step explanation:

16-3(4)+5

16-12+5 use BODMAS rule

16-7

9

Determine the solution 5(2x-6)=7x-3

Answers

Answer:

X=9

Step-by-step explanation:

10x-30 = 7x-3

10x-7x = -3 + 30

3x = 27

x=9

Question 1: need help asap

Answers

You find the scale factor as they are similar
2 of the same sides on both triangles are given
so 49/28 = 1.75

if the bottom of triangle 1 is 91 then you must divide 91/1.75 to give the length of the second triangle

= 52in.

What is the value of the expression 10 + ( fraction 1 over 2 )4 ⋅ 48? (1 point)

a
12

b
13

c
16

d
18

Answers

Answer:

106

Step-by-step explanation:

10 + (1/2)(4)(48) = 10 + 2(48) = 10 + 96 = 106

Write a unit rate word problem. Please include the solution.

Answers

Answer:

bob goes 28 miles in 2 hours while traveling to the store. how many miles does he drive per hour. the answer is 14 miles per hour

I will give brainiest to whoever answers correctly !!

Answers

It has to be 247 days because one more day is added in February when it’s leap year

Mark has less than 20.00 to spend on the cost of dinner

Answers

What is the exact question tho

Order 0.5 , 0.66 , -1.5 , -1.25 from least to greatest

Answers

Answer:

-1.25, -1.5, 0.5, 0.66

hope it helps you

Why is it impossible for m

Answers

Answer:

? What M? What is impossible?

guys I have a band test and pleaseeeee help me out
The natural minor scale -

A follows the key signature of the relative Major.

B Follows the key signature of the relative Major and adds the leading tone.

C follows the key signature of the relative Major, and raises the 6th and 7th ascending, and flats the 6th and 7th descending.

D has the same root as the relative Major.

Answers

Answer:

i think its c

Step-by-step explanation:

HELP PLZ THIS IS DUE just write it on paper or in text JUST HELP ME 100

Answers

Answer:

for the first pic: 30 students

second: 4(1/5 + 2/3),    3 7/15

third: 2 3/5

Step-by-step explanation:

30 students for the first picture

simple math! i'll mark you if you get it right

Answers

$100 because if you follow the line from 5 hours to the line it lines up with 100 dollars

24 bottles of water at Costco cost $3.99 what is the unit rate?

Answers

Answer: 0.16 onces

Step-by-step explanation: divide the price of certain number of units of an item by the number of units to find the unit price of that item.

EX: To find the unit price of 12 ounces of soup that costs $2.40, divide $2.40 by 12 ounces, to get unit price of soup as $0.20 per ounce.

Evaluate f (x) = 3(2)^x for x = -1

Answers

Answer:

3/2 or 1.5

Step-by-step explanation:

3(2−1)

=3(

1

2

)

=

3

2

The value of 3(2)ˣ for x = -1 is 3/2

What is simplification?

In mathematics, simply or simplification is reducing the expression/fraction/problem to a simpler form. It makes the problem easy with calculations and solving.

Given is a function, f(x) = 3(2)ˣ

When x = -1

f(-1) = 3(2)⁻¹

f(-1) = 3x2⁻¹

f(-1) = 3x1/2

f(-1) = 3/2

Hence, The value of 3(2)ˣ for x = -1 is 3/2

For more references on simplification, click;

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xy^2-x^2y
x= -1
y= -2​

Answers

Answer:

xy(x-1y)

Step-by-step explanation:

xy^2-x^2y

=solution,

taking common

xy(x-1y)

I need help ASAP please

Answers

I can’t see the question

Help please
120
50
30
150

Answers

Answer:

Angle 4 will also be 150 degrees

Marion is driving between two towns that are close together. If she drives 1⁄5 the trip in 15 minutes, what is her rate per hour?

Answers

Answer:

4/5 in one hour

Step-by-step explanation:

15 minutes is 1/4 of an hour so all you need to do is multiply one 1/5 by four

tell me if im wrong plz

Answer:

4/5 in one  hour

Step-by-step explanation:

When plotting points on the coordinate plane
below, which point would lie on the x-axis?

(6,0)
(0, 2)
(3.8)
(5,5)

Answers

Answer:

(6,0)

Step-by-step explanation:

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