How long the altitude of an equilateral triangle with side length 10cm​

Answers

Answer 1

Equilateral triangles have 3 sides of the same length, so if you split it down the middle, you will end up with one side length of 10cm and another with 5cm. Pythagorus can be used to find the missing side length, because the line of symmetry creates a right angle.

a^2 + b^2 = c^2

5^2 + b^2 = 10^2       (substitute given values in, remember the longest side, or the side opposite the right angle is c)

25 + b^2 = 100          (simplify)

b^2 = 75

b =  8.6603

Check answer

5^2 + 8.6603^2 = 10^2

25 + 75 = 100


Related Questions

What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form?
Quadratic formula: x =
- Vb2 - 4 ac
2a

Answers

Answer: ([tex]\frac{-5 +\sqrt{5} }{2}[/tex], 0), ([tex]\frac{-5 -\sqrt{5} }{2}[/tex], 0)

Step-by-step explanation: Let me know if you need an explanation.

The total cost for my brother's bowling party was \$140 sign, 140. It cost \$50$ sign, 50 to reserve a bowling lane plus the cost of renting shoes for the 9 c people attending.

Answers

Answer:

$10

Step-by-step explanation:

see attachment for the complete question.

140 - 50=90

90 divided by 9 is 10  

Therefore,the cost of shoes per person is $10.

Graph the points ( 0, 2 ), ( 6, 2 ), ( 7, 4 ), ( 1, 4 ) and connect the points in order to create a parallelogram. What is the perimeter of the parallelogram? Is the perimeter a rational or irrational number? How do you know?)

Answers

Answer: 16, rational

Step-by-step explanation: because its a real number

Could you please help with this question

Answers

Answer:

0

Step-by-step explanation:

Smallest value of C would be when A = - 2 and B = - 2

[tex]\because C = (A - B) ^2 \\ \therefore C = \{ - 2- ( - 2) \}^2 \\ \therefore C = \{ - 2 + 2 \}^2 \\ \therefore C = \{ 0 \}^2 \\ \huge \red{ \boxed{\therefore C = 0}}[/tex]

yea this is the answer is 0

Below is the graph of y=bx. Find b. On a coordinate plane, an exponential function approaches the x-axis in quadrant 1 and increases exponentially in quadrant 2. b =

Answers

Answer:

b=0.5

and the other part is:

B.) The graph shows exponential decay

D.) The graph shows y=2^x reflected over the y-axis

Step-by-step explanation:

i just did this problem on edge 2020

Answer: 0.5, B&D

Step-by-step explanation:

84 ounces is how many pounds?​

Answers

Answer:

5.25 pounds

Step-by-step explanation:

We know that 16 ounces  = 1 pound

Divide 84 ounces by 1 pound

84/16 = 5.25 pounds

Answer:

[tex]5.25 \: \: pounds[/tex]

Step-by-step explanation:

[tex]1 \: \: pounds = 16 \: ounces \\ [/tex]

so,

[tex]84 \: \: ounce = 5.25 \: \: pounds[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Please help, I am very confused!!!!!

Answers

Answer:

6 times 7 times 8

Step-by-step explanation:

HELP ME PLEASE!!! URGENT!!

Answers

Answer:

False

Step-by-step explanation:

See how the bottom of the line F(x) just drops off? That means there isn't an even decline, meaning even the inverse would have an uneven slope.

This line cannot be a function, no matter which way you turn it.

Answer:

false

Step-by-step explanation:

f is  on the Opisite side.

All corresponding sides are proportional (same ratio) in similar figures. True or False

Answers

Answer:

true

Step-by-step explanation:

is it true? i am not sure

find 8x^3 -22x^2 -4
divided by 4x-3

Answers

i think it is 13 srry if im wrong
use long division method/syntactic division

Find the inverse of the function Y=(X -4) cubed

Answers

Step-by-step explanation:

replace x with y and y with x

107.843137255 to 1 decimal point

Answers

Answer:

107.8

Step-by-step explanation:

1 decimal point is the tenths place, thus we have 107.8

a circle has a circumstance of 20. it has an arc on length 4. what is the central angle of the arc in degrees?

Answers

Answer:

∠72°.

Step-by-step explanation:

If a circle has a circumference of 20 and an arc with a length of 4, we can simply set up a ratio to determine the angle of the arc in degrees:

[tex]\frac{4}{20} = \frac{x}{360}[/tex]

Cross multiply:

[tex]1440 = 20x\\[/tex]

Divide both sides by '20':

x = 72°.

Therefore, the measure of the central angle of the arc is ∠72°.

Round 2,461,612,242 to the nearest billion

Answers

Answer:

2,000,000,000.

Step-by-step explanation:

We know that when rounding, we take a look at the digit next to the digit we are rounding. So if I were to ask for you to round 122 to the nearest hundred, then the answer would be 100.

Remember that we round down if the digit next to it is 0-4. If the digit is 5-9, then we round up.

In this case, the digit next to the 2 is a 4. We know that we round down with a 4, so we go to the nearest whole billion, in this case 2 billion.

I hope this helps!

The area of a rectangular piece of land is 2/3 square mile. One dimension
is 1 1/2 miles.

Answers

Answer:

1

Step-by-step explanation:

The Other Dimension:

2/3 divided by 1 1/2 = 2/3 x 3/2 = 1

Hope this helps

Ps. I have taken the dimension length to be  a mixed number, because they were farther apart. please let me know if wrong

Determine f(5)
f(x)=2x'2-1 if x < or equal to -1
3x+2 if x > -1

Answers

Answer:

To make it clearer, I just put every thing under the formal form

f(x) = [tex]\left \{ {{2x^2-1~~~~if~~~~ x\leq -1} \atop {3x+2~~~~~if~~~~~x>-1}} \right.[/tex]

Step-by-step explanation:

Now, you have 2 equations with 2 conditions. One is > -1, and one is < -1.

The question is about f (5). So, which equation you use to replace x = 5? The first one or the second one? and why?

Answering those questions help you understand how it works.

Traduce el enunciado a expresión algebraica La suma de dos números pares consecutivos

Answers

Answer:

The answer is "Expression: x+(x+2)".

Step-by-step explanation:

Given:

The sum of two consecutive even numbers

Proving:

Let,

The First number is = x

The second consecutive number is = x+2

Calculating value by adding value:

Expression:

[tex]\Rightarrow x+(x+2)\\\\[/tex]

when x= 1, 2, 3 .... it gives:

[tex]\Rightarrow 1+(1+2)= 1+3=4\\\\\Rightarrow 2+(2+2)= 2+4=6\\\\\Rightarrow 3+(3+2)= 3+5=8\\[/tex]

That's why the sum of consecutive numbers is even.

a is the point with coordinates (4,6)
b is the point with coordinates (d,21)
the graident of line AB is 3
what is the value of d

Answers

Answer:

d = 9

Step-by-step explanation:

Calculate the slope of ab then equate to 3.

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (4, 6) and (x₂, y₂ ) = (d, 21)

m = [tex]\frac{21-6}{d-4}[/tex] = [tex]\frac{15}{d-4}[/tex] = 3 ( multiply both sides by d - 4 )

3(d - 4) = 15 ( divide both sides by 3 )

d - 4 = 5 ( add 4 to both sides )

d = 9

Calculate the area of the circle below. (Use 3.14 for Pi)


A. 200.96 square inches
B. 50.24 square inches
C. 25.12 square inches
D. 401.92 square inches

Answers

Answer:

A =200.96 in ^2

Step-by-step explanation:

The radius of the circle is 8 in

The area of the circle is

A = pi r^2

A = 3.14 * 8^2

A =200.96 in ^2

Answer:

A is the answer

Step-by-step explanation:

Area of a circle= 3.14*8^2

8^2=64

64*3.14=200.96

can someone help and where do I put the, ​

Answers

Answer:

[tex]4000[/tex]

Step-by-step explanation:

[tex]8949-5324[/tex]

[tex]=3625[/tex]

Please help I don’t get it!!!
( I will mark brainliest!)

Answers

Answer:

15/4 OR 3 whole number 3/4

Step-by-step explanation:

Can someone please answer this I’m stuck

Answers

The system has no solutions.
To do this question I started out by trying to solve the simultaneous equations using substitution.
First we can simplify 6x = 12y - 24 by dividing everything by 6, which gives us:
x = 2y - 4
Then we can substitute this into the second equation:
30y - 15(2y - 4) + 30 = 0
30y - 30y + 60 + 30 = 0
90 = 0
As this is obviously not true, we can conclude that the system has no solution.
I hope this helps! Let me know if you have any questions :)

How do you calculate the interquartile range of a dot plot or data set?

Answers

Answer:

The IQR describes the middle 50% of values when ordered from lowest to highest. To find the interquartile range (IQR), ​first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.

Step-by-step explanation:

hope this helps

correct me if this is wrong

How many solutions does the system have

Answers

Answer:

Step-by-step explanation:

28x-12y=16 and -6x-12y=3

or

14x-6y=4 and -14-28y=1

or

-28x-12y=16 and 28x-56y=14

A stainless steel patio heater is a square pyramid. The length of one side of the base is 22.2 in. The slant height of the pyramid is 88.2 in. What is the height of the​ pyramid?

Answers

Answer:

The height is 87.5 in

Step-by-step explanation:

We can solve the height of a square pyramid using the Pythagoras theorem, this is because the slant height the height and the section of the base form a right triangle

the slant height is equivalent to the hypotenuse

the height is equivalent to the opposite

while the base(half) is the adjacent

Given

the base of the pyramid= [tex]22.2 in[/tex]

the adjacent is = [tex]\frac{22.2}{2} = 11.1 in[/tex]

the slant height (hypotenuse)= [tex]88.2 in[/tex]

we know that Pythagoras theorem states that "The sum of the squares of the lengths of the legs of a right triangle ('a' and 'b' in the triangle) is equal to the square of the length of the hypotenuse ('c').

[tex]c^2=a^2 + b^2[/tex]

[tex]hyp^2=opp^2+adj^2[/tex]

substituting we have

[tex]88.2^2=opp^2+11.1^2\\opp^2= 88.2^2-11.1^2\\opp^2=7779.24-123.21\\opp^2=7656.03\\opp=\sqrt{7656.03} \\opp=87.498\\opp=87.50 in[/tex]

3. A $5,000 principal is invested in two accounts, one earning 1% interest and another earning 6% interest. If the total interest for the year is $170, then how much is invested in each account?

Answers

Answer:

threee

Step-by-step explanation:

YEAR 9 MATHS PLEASE HLEP A café owner records the average monthly temperature and the monthly sales of soup over a year. The average monthly temperature for the next month is predicted to be 7°C. Use the graph to estimate the sales of soup that month.

Answers

Answer:

480.

Step-by-step explanation:

We would need to draw the line of best fit through these point.

An estimate would be about 480.

A cyclist travels 3 miles in 15 minutes and then a further 7 miles in 35 minutes without stopping.
Calculate the cyclist's average speed in mph.

Answers

Answer: [tex]12\ mph[/tex]

Step-by-step explanation:

Given

First cyclist travels [tex]3\ miles[/tex] in [tex]15\ min[/tex]

Then, [tex]7\ miles[/tex] in [tex]35\ min[/tex]

Average speed is given by [tex]=\dfrac{\text{Distance}}{\text{time taken}}[/tex]

[tex]V_{avg}=\dfrac{3+7}{15+35}[/tex]

[tex]V_{avg}=\dfrac{10}{50}=\dfrac{1}{5}\ mile/min[/tex]

[tex]V_{avg}=\dfrac{1}{5}\times 60\ miles/hr[/tex]

[tex]V_{avg}=12\ mph[/tex]

Thus cyclist speed is [tex]12\ mph[/tex]

A train from Philadelphia to Boston left Philadelphia at 1 pm and arrived to Boston at 4 pm. What was its average speed if the distance it covered was 270 miles?

Answers

Answer:

90 miles per hour is the average speed.

Step-by-step explanation:

The formula for Average Speed can be given as follows:

[tex]\text{Average Speed}= \dfrac{\text{Total Distance Traveled}} {\text{Total Time Taken}}[/tex]

Here time taken is from 1 PM to 4 PM i.e.

Total Time taken = (4-1) hours = 3 hours

Also, it is given that the Total distance covered = 270 miles

As per the formula above:

[tex]\text{Average Speed} = \dfrac{270}{3}\\\Rightarrow \text{Average Speed} = 90\ miles/hour[/tex]

So, answer is: 270 miles/ hour is the average speed of the train from Philadelphia to Boston.

what is 15 + 8(2-3)​

Answers

Answer:

7

Step-by-step explanation:

15 + 8(2 - 3)

15 + 16 - 24

15 - 8

= 7

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