ABC is an eqilateral triangle with sides 10cm find the length of the prependicular from A to BC

Answers

Answer 1

All sides are equal in an equilateral triangle and the perpendicular bisects the side too.

so BC will be bisected and the segments be 5 each.

you can use Pythagoras theorem to find the altitude length, hypotenuse will be one side of the triangle.

[tex] 5^2+h^2=10^2[/tex]

$h^2=100-25=75$

$h=\sqrt{75}=5\sqrt3$


Related Questions

PLEASE HELP!!!!


The degree of x y 3 + 5 x 2 y − 3 x xy 3 +5x 2 y−3xis 8. True False

Answers

Answer:

it's true

Step-by-step explanation:

If the area of the figure is 16 square centimeters, what is the height of the triangle?

Answers

Answer:

3.2 cm = h

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh

where b is the base and h is the height

b = 10  and the area is 16

16 =1/2 *10 *h

16 = 5h

Divide each side by 5

16/5 = 5h/5

3.2 cm = h

Please help ASAP. The question is down below.

Answers

Answer:

2.7 hours

Step-by-step explanation:

We can use the formula

1/a + 1/b = 1/c

where a and b are the times working alone and c is the time working together

1/8 + 1/b = 1/2

Multiply each side by 8b to get rid of the fractions

8b( 1/8 + 1/b = 1/2)

b + 8 = 4b

Subtract b from each side

b+8-b = 4b-b

8 = 3b

Divide each side by 3

8/3 = 3b/3

2.666666repeating = b

Round to 1 decimal place

2.7 = b

Answer:

2.7 hr

Step-by-step explanation:

2/8 +2/x = 1

2x+16 =8

16/8

x=8/3 =2.7

The amount of clay students used for their last art project is weighed. The line plot displays the amounts of clay. How much more clay did the students who used of a pound use than the students who used of a pound?

Answers

Answer:

C. 2 [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

First, calculate the amount of clay that both groups used in total. We can find this by multiplying the amount by the number of students.

Used 3/4 of a pound:

3/4(4) = 3 pounds

Used 1/4 of a pound:

1/4(3) = 3/4 pound

Now, subtract:

3 - 3/4 = 2 and 1/4

Answer

i got it right

C. 2

Choose the inequality that represents the following graph.

Answers

Answer:

It is c

Step-by-step explanation:

because five is bigger than zero

Answer:

[tex]\sf x > 0[/tex]

Step-by-step explanation:

The arrow points to all values greater than 0. And the point at 0 is not filled in. So, the inequality represents everything strictly greater than 0.

[tex]\bf x > 0[/tex]

___________________

Hope this helps!

Have a great day!

2. Marci bought 6 shirts at Old Navy. Her subtotal
(before tax) was $73.50. If each shirt was the same
price, how much did each shirt cost?

Answers

Answer:

12.25

Step-by-step explanation:

73.50 divided by 6 for each shirt is 12.25 a shirt

what dose a point represents: a) line segment b) a location c) intersection of a plane d) none of the above

Answers

Answer:

(B) A location

Step-by-step explanation:

If you have a point on a graph or number line, it always represents a certain location on the graph.

For instance, if we have a point on the x=3 line and the y=4 line, the point would represent the location (3,4).

Hope this helped!

Find the degree of the monomial.
s8t
The degree is

Answers

Answer:

Step-by-step explanation:

the degree of 8^8t

16777216t : the degree of the mnonmial is 1, because the degree of the variable is 1

Can someone please help? the answer is 5/12 but I have no idea how. Please explain the steps!

Answers

Answer:

5/12

Step-by-step explanation:

4√y√y / 3√y

The above equation can be simplified as follow:

4√y√y / 3√y

4√y × √y ÷ 3√y

Recall:

√a = a^1/2

m√a = a^1/m

Therefore,

4√y√y ÷ 3√y

y^1/4 × y^1/2 ÷ y^1/3

Recall:

a^m × a^n = a^(m+n)

Therefore,

y^1/4 × y^1/2 ÷ y^1/3

y^(1/4 + 1/2) ÷ y^1/3

y^3/4 ÷ y^1/3

Recall:

a^m ÷ a^n = a^(m–n)

Therefore,

y^3/4 ÷ y^1/3

y^(3/4 – 1/3)

y^5/12

Comparing the above with y^m, we have

y^5/12 = y^m

m = 5/12

Therefore, the value of m is 5/12

6r-1+6r=11 explain how to get so

Answers

Answer:

r = 1

Step-by-step explanation:

6r - 1 + 6r = 11

Adding 6r and 6r (because they're like terms) gives us:

12r - 1 = 11

Adding 1 to both sides of the equation gives us:

12r - 1 + 1 = 11 + 1

12r = 12

Dividing both sides of the equation by 12 gives us:

12r/12 = 12/12

r = 1

PLEASE HELP ME ASAP!! I NEED ANSWERS AND EXPLANATIONS FAST!!!

Answers

Answer:

d. [tex]\angle BIJ \cong \angle CGJ\ and\ \angle BJI \cong \angle CJG[/tex]

Step-by-step explanation:

Here, we are given a diagram in which there are two triangles to be considered:

[tex]\triangle CJG \ and\ \triangle BJI[/tex].

We can consider the whole diagram in the form as attached in the answer area.

To find:

The conditions to prove [tex]\triangle CJG \sim \triangle BJI[/tex].

Solution:

First of all, let us learn about AAA similarity.

AAA stands for Angle Angle Angle.

i.e. when we prove that the all the three corresponding angles of two triangles are equal ,the triangles are similar.

There is one more property of the triangles, that if two angles of two triangles are equal then the third angle of the triangles will also be equal to each other.

So, actually, to prove that [tex]\triangle CJG \sim \triangle BJI[/tex], we need the conditions that two corresponding angles of the triangles are equal to each other, then we can say that third angle will also be equal. Therefore the triangles will be similar to each other.

Let us consider the corresponding angles:

[tex]\angle BIJ \ and \ \angle CGJ\ ,\ \angle BJI \ and \ \angle CJG\ , \ \angle IBJ\ and \ \angle GCJ[/tex]

So, if we are given that any of the two above three pairs are equal/congruent to each other, we can prove [tex]\triangle CJG \sim \triangle BJI[/tex].

Therefore, the correct answer is:

d. [tex]\angle BIJ \cong \angle CGJ\ and\ \angle BJI \cong \angle CJG[/tex]

Rochelle deposits $6,000 in an IRA. What will be the value (in dollars) of her investment in 15 years if the investment is earning 9% per year and is compounded continuously? (Simplify your answer completely. Round your answer to the nearest cent.)

Answers

Answer:

$ 23,145

Step-by-step explanation:

This is a compound interest question where the interest is compounded continuously. Hence, the formula for the value of total amount of investment is:

A = P×e^rt

Where:

A = Total value of investment after t years

P = Principal or Initial amount invested = $6,000

e = Exponential function

r = interest rate = 9% = 0.09

t = time in years = 15

So:

A = $6000 × e^15 × 0.09

A = $6000 × e^1.35

A = $23,144.553184

Approximately , A ≈$23,145

Therefore, the value (in dollars) to the nearest cent of Rochelle's investment in 15 years if the investment is earning 9% per year and is compounded continuously is $23,145.

5 less than a number is equivalent to 1 more than three times the number.

Answers

The value of the unknown number is calculated as - 3

Let the unknown number = y

5  less than the number is written as = y - 5

1 more than three times the number is written as = 1 + 3y

Since the first statement and the second statement are equal, we can equate the two and solve for y.

y - 5 = 1 + 3y

collect similar terms together

y - 3y = 1 + 5

-2y = 6

y = -6/2

y = -3

Therefore, the number is - 3

learn more here: https://brainly.com/question/22548668

Building and solving the expression, it is found that the number is -3.

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

The number is unknown, so we are going to call it x.5 less than the number is x - 5.Three times the number is 3x.1 more than three times the number is 1 + 3x.

They are equivalent, thus:

[tex]x - 5 = 1 + 3x[/tex]

Solving for x.

[tex]3x - x = -5 - 1[/tex]

[tex]2x = -6[/tex]

[tex]x = -\frac{6}{2}[/tex]

[tex]x = -3[/tex]

The number is -3.

A similar problem is given at https://brainly.com/question/20742606

Assignment: Counting Investigation Dakota and Karen noticed that there were a bunch of combinations available in their school cafeteria. Think about a meal at your school, or maybe a favorite restaurant. How many combinations of choices do you have? Create a tree diagram listing the possible combinations, and count the results. 1. For what will you find the number of combinations? ______________________________________________________________________________________________________________________ 2. List at least three categories to consider. ______________________________________________________________________________________________________________________ 3. List the choices within each category. ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ 4. Assign each choice a symbol. Ex. juice = (diamond shape) ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ 5. Create a tree diagram to determine the number of combinations available. 6. List all possible combinations and count the total number of possibilities. ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Answers

Hi there! Hopefully this helps!

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

Q1: (For what)"Will you find the number of combinations?"

Answer: (I unfortunately don't understand this very well so I'm giving it my best, and take this with a grain of salt.) I will be able to find combinations using a school cafeteria!

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Q2: "List at least three categories to consider."

My choices:

Answer: Fruits, Vegetables, Protein.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Q3: "List the choices within each category."

Answer:

Fruits: Apples, Bananas, and Grapes.

Vegetables: Cauliflower, Carrot, and Corn.

Protein: Green beans, Salmon, and Almonds.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Q4: "Assign each choice a symbol. Ex. juice = (diamond shape)"

Answer:

Fruits: Apples, Bananas, and Grapes.

Vegetables: Cauliflower✨, Carrot, and Corn.

Protein: Green beans, Salmon, and Almonds.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Q5: "Create a tree diagram to determine the number of combinations available."

(I'm not very familiar with a tree diagram so here is my interpretation at the bottom.)

(You can rewrite this and do it your way if you want).

Q6: "List all possible combinations and count the total number of possibilities."

There are 27 combinations possible!

All of my possible combinations:

Apples, Cauliflower, Green beans.Apples, Cauliflower, SalmonApples, Cauliflower, Almonds.Bananas, Cauliflower, Green Beans.Bananas, Cauliflower, Salmon.Bananas, Cauliflower, Almonds.Grapes, Cauliflower, Green bean.Grapes, Cauliflower, Salmon.Grapes, Cauliflower, Almonds.Apples, Carrot, Green beans.Apples, Carrot, Salmon.Apples, Carrot, Almonds.Bananas, Carrot, Green beans.Bananas, Carrot, Salmon.Bananas, Carrot, Almonds.Grapes, Carrot, Green beans.Grapes, Carrot, Salmon.Grapes, Carrot, Almonds.Apples, Corn, Green beans.Apples, Corn, Salmon.Apples, Corn, Almonds.Bananas, Corn, Green beans,Bananas, Corn, Salmon.Bananas, Corn, Almonds.Grapes, Corn, Green Beans.Grapes, Corn, Salmon.Grapes, Corn, Almonds.

The last image below is for Qestion 5.

A rectangle has an area of 21x+81. If the width is 3 units, what is the length of the rectangle

Answers

Answer:

(7x + 27) units

Step-by-step explanation:

A rectangle is a quadrilateral (has four sides) in which opposite sides are equal and parallel, also all the angles are equal. The area of a rectangle is given as:

Area = Length × Width

Given that the area of the rectangle is 21x + 81 and the width is 3 unit, to find the length of the rectangle, we have to use the formula of the area and then get the length. Therefore:

Area = Length × Width

21x + 81 = Length × 3

Length  = (21x + 81) /3

Length  = 7x + 27

The length of the rectangle is 7x + 27 units

15 x = -27 + 6x cuál es la respuesta de la ecuación, ¿me ayudan? gracias!

Answers

Answer:

x = -3

Step-by-step explanation:

If the equation is correctly written as 15·x = -27 + 6·x

Then we have;

15·x = -27 + 6·x

We subtract 6·x from both sides to have all the variables (x) on one side as follows;

15·x - 6·x= -27 + 6·x - 6·x

Which gives;

x·(15 - 6) = -27 + x·(6 - 6)

We note that 6 - 6 = 0, therefore, we have;

x × 9 = -27 + x × 0

We not that x × 0 = 0, therefore;

x × 9 = -27

We now divide both sides with the 9 to get the value of x alone as follows;

x×9/9 = -27/9

Which gives;

x = -27/9 = -3

x = -3

A man borrows $200 000 to buy a sports car. He is charged a simple interest of
2.88% per annum. If the loan is for 7 years, find the
(a) interest payable
(b) amount of each repayment if the total sum is to repaid in 84 equal
installments.

Answers

Answer:

See explanation

Step-by-step explanation:

a) 200,000 x .0288 x 7 = 40,320 interest

b) 240,320/84 = $2860.95


Divide 50 by 25 and find the remainder to complete the equation:
50 = 25 x ? + ?

Answers

Answer:

0

Step-by-step explanation:

Hello, do you agree that 25 * 2 = 50 ?

So, we can write that [tex]50 = 25 * \boxed{2} + \boxed{0}[/tex]

the remainder is 0.

Thank you

What is the average rate of change from x = 0 to x = 18?

Answers

Average rate of change ... of what?

Given some continuous function [tex]f(x)[/tex] and some interval [tex][a,b][/tex], its average rate of change over the interval is

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

Without knowing what your function is exactly, I can only give a symbolic answer,

[tex]\dfrac{f(18)-f(0)}{18}[/tex]

Answer: -5/18

Step-by-step explanation: edg

Point M is on line segment LN. Given MN=2 and LM=4, determine the length LN.

Answers

Answer:

LN = 6

Step-by-step explanation:

Since M is on LN, then

LN = LM + MN = 4 + 2 = 6

Answer:

[tex]\huge \boxed{6}[/tex]

Step-by-step explanation:

Point M is on the line segment LN.

LM = 4

MN = 2

LN = LM + MN

LN = 4 + 2 = 6

Deshaun bought 6 bags of sugar for his restaurant. Each bag weighed 6.9 kilograms. How many kilograms of sugar did he buy total?

Answers

Answer:

41.4 kgs

Step-by-step explanation:

Take the number of bags times the weight of each bag

6 * 6.9

41.4 kgs

Answer:

41.4 kilograms of sugar

Step-by-step explanation:

its 41.4 kilograms of sugar because you take the 6 bags and multiply that by the 6.9

consider the polynomial 8x^3+2x^2-20x-5 factor

Answers

Answer:

(4x + 1)(2x² - 5)

Step-by-step explanation:

Given

8x³ + 2x² - 20x - 5 ( factor the first/second and third/fourth terms )

= 2x²(4x + 1) - 5(4x + 1) ← factor out (4x + 1) from each term

= (4x + 1)(2x² - 5)

Answer:

blank 1 is -20-5

blank 2 is 4x+1

blank 3 is -5

blank 4 is 2x^2-5

Step-by-step explanation:

Find all values of $x$ such that \[\frac{2x}{x + 2} = -\frac{6}{x + 4}.\]If you find more than one value, then list your solutions, separated by commas.

Answers

Greetings from Brasil...

2X/(X + 2) = 6/(X + 4)

2X(X + 4) = 6(X + 2)

2X² + 2X - 12 = 0     ÷2

2X²/2 + 2X/2 - 12/2 = 0/2

X² + X - 6 = 0

Δ = 25

X' = 2X'' = - 3

S = {-3, 2}

By using factorization,  [tex]\frac{2x}{x+2} =\frac{6}{x+4}[/tex] , values of x are -2, 3.

What is factorization?

Factorization can be defined as the process of breaking down a number into smaller numbers which when multiplied together arrive at the original number. These numbers are broken down into factors or divisors.

Given

[tex]\frac{2x}{x+2} =\frac{6}{x+4}[/tex]

⇒ 2x(x + 4) = 6(x + 2)

⇒ [tex]2x^{2} +8x = 6x + 12[/tex]

⇒ [tex]2x^{2} +8x-6x-12=0[/tex]

⇒ [tex]2x^{2} +2x -12=0[/tex]

Divide above equation by 2, we get

⇒ [tex]x^{2} +x -6=0[/tex]

⇒ [tex]x^{2} +2x-3x-6=0[/tex]

⇒ [tex]x(x+2)-3(x+2)=0[/tex]

⇒ [tex](x+2)(x-3)=0[/tex]

⇒ x = -2, 3

By using factorization,  [tex]\frac{2x}{x+2} =\frac{6}{x+4}[/tex] , values of x are -2, 3.

Find out more information about factorization here

https://brainly.com/question/1863222

#SPJ2

Please help...25 points

Answers

Answer:

[tex]\huge\boxed{x = -\frac{5}{6}}[/tex]

Step-by-step explanation:

[tex]f(x) = -12x+7[/tex]

Given that f(x) = 17

[tex]17 = -12x+7[/tex]

Subtracting 7 to both sides

[tex]17-7 = -12x[/tex]

10 =  -12 x

Dividing both sides by 12

[tex]x = - \frac{10}{12}[/tex]

[tex]x = -\frac{5}{6}[/tex]

Answer:

-5/6 =x

Step-by-step explanation:

f(x) = -12x+7

We want to find x when f(x) = 17

17 = -12x+7

Subtract 7 from each side

17-7 = -12x +7-7

10 = -12x

Divide each side by 12

10/-12 = -12x/-12

-5/6 =x

4. Suppose you make $12 an hour as a lifeguard at the community pool during the summer. Let h
represent the number of hours you work in a week. Write an expression that represents the
amount of money you earn in a week and evaluate it for ) = 15.
O 12.; $180
O 12 + 1; $27
7(12.1); $1,260
O5(127); $900

Answers

Answer:

Option A

Step-by-step explanation:

Expression: y = 12h

If h = 15, then:

y = 12(15)

y =  $180

Option A

a number has 2,5 and 7 as its prime factors. what are the four smallest values it and take​

Answers

Answer:

  70, 140, 280, 350

Step-by-step explanation:

Obviously, it must have the factors 2, 5, 7 as a minimum, so the smallest value is 2×5×7 = 70.

Any of these primes can be added to the product. In increasing order, the smallest additional factors will be 2, 4, 5, 7, 8, 10, ...

So, the four smallest numbers with prime factors of 2, 5, and 7 are ...

  70 = 2·5·7

  140 = 2²·5·7

  280 = 2³·5·7

  350 = 2·5²·7

what are the squares from one to twenty​

Answers

Answer:

1,4,9,16

Step-by-step explanation:

those are the squares

1 = 1²

4 = 2²

9 = 3²

16 = 4²

Step-by-step explanation:

[tex] {1}^{2} = 1 \times 1 = 1 \\ {2}^{2} = 2 \times 2 = 4 \\ {3}^{2} = 3 \times 3 = 9 \\ {4}^{2} = 4 \times 4 = 16 \\[/tex]

[tex] {5}^{2} = 5 \times 5 = 25 \\ [/tex]

[tex] {10}^{2} = 10 \times 10 = 100[/tex]

[tex] {6}^{2} = 6 \times 6 = 36 \\ {7}^{2} = 7 \times 7 = 49 \\ {8}^{2} = 8 \times 8 = 64 \\ {9}^{2} = 9 \times 9 = 81 \\ [/tex]

[tex] {11}^{2} = 11 \times 11 = 121 \\ {12}^{2} = 12 \times 12 = 144 \\ {13}^{2} = 13 \times 13 = 169 \\ {14}^{2} = 14 \times 14 = 196 \\ [/tex]

[tex] {15}^{2} = 15 \times 15 = 225 \\ {16}^{2} = 16 \times 16 = 256 \\ {17}^{2} = 17\times 17 = 289 \\ {18}^{2} = 18 \times 18 = 324[/tex]

[tex] {19}^{2} = 19 \times 19 = 361 \\ {20}^{2} = 20 \times 20 = 400[/tex]

When copying a line segment to construct a new line segment why do you think it is important that the plotted point for the new line segment is not on the original line segment?

Answers

Answer:

It would be difficult to see what you are doing if the line segments overlapped, making it easier to make a mistake and harder to check your work.

Can anyone help me with this ??

Answers

Answer:

y=x+-5

Step-by-step explanation:

y is x+-5 because as you can see in the graph the difference in everysingle one is -5 so y=x-5

Answer:

y=x+(-5)

Step-by-step explanation:

d=-3-(-4)=-3+4=1

y-(-4)=1(x-1)

y+4=x-1

y=x-1-4

or y=x+(-5)

(05.01) A window is 4 feet and 8 feet tall. A manufacturer wants to use a scale factor of 1.5 to enlarged a window. What will the area of the wind will be after it is enlarged?

Answers

Answer:

the window would be 72ft²

Step-by-step explanation:

A window is rectangular in shape.

the area of a rectangle is give as length * breadth

but this question say that the manufacturer wants to enlarge the window by 1.5

therefore we are going to multiply the length by 1.5 and the breadth also by 1.5 to get the new area of the bigger window.

length = 8 * 1.5

= 12

width = 4 * 1.5

= 6

The new area would be = l * b

= 12 * 6

= 72ft²

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