Answer:
17.32 cm
Step-by-step explanation:
According to Viviani's theorem, the sum of the distances from an interior point to the sides of an equilateral triangle equals the height of the triangle.
In an equilateral triangle ΔABC, if U is an interior point, the sum of distances from U to each sides of ΔABC = height of triangle. Since each side of the triangle is 20 cm, we can find the height of the triangle (h)
This can be represented by a triangle with hypotenuse 20 cm, a leg of 10 cm (20/2) and the other leg h cm. Using Pythagorean theorem:
h² + 10² = 20²
h² = 400 - 100 = 300
h = √300 = 17.32 cm
Therefore, the sum of distances from U to each sides of ΔABC is 17.32 cm
A snail creeks up a plank 8 cm a day and slides back down 15 millimeters each night. Write a numerical pattern showing the number of millimeters where the snail changes direction. On which day would the snail have moved 275 millimeters from its starting point?
Answer: The 5th day
Step-by-step explanation:
Total daily movement :
Upward movement = 8cm
Downward movement = 15mm
Converting the upward movement to millimeters ; 1 centimeter = 10 millimeters
Upward movement = 8 × 10 = 80 millimeters
Daily movement can beodelled using the equation :
Distance = (80mm - 15mm)h
Where h is the number of days
Movement per day = 65mm
To move a distance of 275mm from its starting position:
Number of days = 275mm/ 65mm
Number of days = 4.23
Therefore the snail would have moved 275 millimeters from its starting point on the 5th day
Find the volume of this rectangular prism.
Answer:
200 units³
Step-by-step explanation:
The formula for the volume of a rectangular prism is:
V = lwh
where l is the length, w is the width, and h is the height
Substitute with the given values:
V = lwh
V = (10)(4)(5)
Multiply:
V = (10)(4)(5)
V = (40)(5)
V = 200
Therefore, the volume of the rectangular prism is 200 cubic units.
which equation is the slop formula
Answer:
y=mx+b
Step-by-step explanation:
m is the slope
b is the y-intercept
Don't believe me? Ask Google!
Does anyone think your life is a video game?
Answer:Yes!
Step-by-step explanation:
Answer:
Yes i really do because i love video games i play Roblox and that i always play and that i feel like i am in Royale High For Real
Step-by-step explanation:
Royale High is my favorite game
Paul creates a CD by mixing together
songs that are either 3 minutes or
4 minutes long. His CD has 22 songs
and is 78 minutes long. How many
three-minute and how many four-minute
songs did he use?
Answer:
Paul created 10 three minutes songs and 12 four minutes songs.
Step-by-step explanation:
The song he created on his CD is either 3 minutes long or 4 minutes long.
His CD has 22 songs and is 78 minutes. The number of 3 minutes and 4 minutes song can be calculated below.
Let
a = number of 3 minutes song
b = number of 4 minutes song
number of song = 22
a + b = 22............(i)
3a + 4b = 78.........(ii)
Make a subject of the formula in equation (i)
a = 22 - b
Insert the value of a in equation (ii)
3(22 - b) + 4b = 78
66 - 3b + 4b = 78
b = 78 - 66
b = 12
insert the value of b in equation (i)
a + b = 22
a + 12 = 22
a = 22 - 12
a = 10
Paul created 10 three minutes songs and 12 four minutes songs.
520 is 65% of what number?
James sets off from home on his bike.The graph shows his journey.A)what is James average speed on his outward journey?B)How long does he stop for?C)What is James average speed on his homeward journey?
Answer:
20,45,15
Step-by-step explanation:
a)20 km/h
b)45 minutes
c)15 km/h
Answer:
Step-by-step explanation:
a)20
b)45
c)15
Determine the answer to (−3) + (−5) and explain the steps using a number line
Answer:
-8
Step-by-step explanation:
When adding a negative number on a number line, we move to the left. This is because adding a negative number is the same as subtracting. If we start at -3 and move 5 to the left, we will end at -8.
3 and 1/3 - 2 and 1/5
Answer:
1.13333333333
1.13
Step-by-step explanation:
1: Gather all the numbers
2: Use a calculator to subtract the numbers
3: Answer is 1.13
Hope this helps.
The figure shows two regular pentagons. What is the perimeter of the larger pentagon?
A. 5n
B. 10n
C. 15n
D. 60n
Answer:
As shown in picture,
perimeter of inside pentagon: p1 = n + n + n + n + n = 5n
ratio between inside pentagon and outside pentagon: r = 6/(6 + 6) = 1/2
=> perimeter of outside pentagon: p2 = 2 x p1 = 2 x 5n = 10n
=> Option B is correct
Hope this helps!
:)
A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. How many different combinations of 5 friends could possibly receive the
tickets?
A
13
B. 40
56
D.
64
Reset
Next
Answer:
D. 56
Step-by-step explanation:
8!/3!x5!= 56
A survey asked 247 students what their favorite subject was. Of those students, there were 115 boys. One hundred two students answered that their favorite subject was Social Studies, 50 of which were boys. Forty girls answered that their favorite subject was Math while 25 boys answered English. The marginal frequency of students answering science is 0.1214. The probability that a student who answered science was a girl is 0.667.
5, 10, 20, 25, 30, 45, 50, 52, 70
Use the numbers above to complete a two-way frequency table. Numbers may be used more than once or not at all
Answer:
so what was the answer?
Step-by-step explanation:
*WILL GIVE BRAINLIEST*
annabelle collected data on the favorite superhero of the students in her class. the table shows the relative frequencies of rows for the data collected:
*picture attached above*
based on the data, which superhero is most likely to be the favorite?
a.) superman
b.) spiderman
c.) batman
d.) wonder woman
Answer:
B - Spider-Man
Step-by-step explanation:
solve in quadratic formula (show work)
[tex]2x^{2} +5x+1=0[/tex]
Answer:
x= −5±√17/4
Step-by-step explanation:
Is anyone able to help me with this question:
A rectangle with sides 4 cm and 6 cm has the same diagonal as a square.
What is the length of the side of the square.
Give your answer as a surd.
Answer:
not sure but this info might help you.
Step-by-step explanation:
the diagonal in the rectangle splits it into two right angled triangles, hence the hypotenuse is the diagonal.
once you find the measurement, we all know that a square has all sides equal and the diagonal splits it into 2 equilateral triangles. so, the side of the square =the diagonal's measurement.
help me!! show work pls
Answer:
17.2
Step-by-step explanation:
We need to use the law of sines
sin A sin B
------------ = ----------
a b
sin 25 sin 27
------------ = ----------
16 x
Using cross products
x sin 25 = 16 sin 27
Divide each side by sin 25
x = 16 sin 27 / sin 25
x =17.18772863
Rounding to the nearest tenth
x = 17.2
Select ALL the correct answers.
Natalie buys a new car. In the first month, the odometer on the car records 800 miles. From past experience, she expects to drive 900 miles per month.
Select all the functions that can be used to find the number of miles, f(n), recorded on the odometer after n months.
Answer:
[tex]\begin{aligned}\bullet\ &f(1)=800;f(n)=f(n-1)+900, \text{for $n\ge 2$}\\ \bullet\ & f(n)=900n-100\end{aligned}[/tex]
Step-by-step explanation:
See attachment for the figure.
Using arithmetic sequence with a first term of 800 and a common difference of 900. The general form for such a sequence is given by,
an = a1 +d(n -1)
an = 800 +900(n -1) = 900n -100
If n is the function, this can be written as,
f(n) = 900n -100
When considered as a recursive relation, we find the first term is still 800:
f(1) = 800
and that each term is 900 more than the previous one:
f(n) = f(n-1) +900 . . . . for n ≥ 2
You need to consider that huge numbers of the different answer decisions are debasements of either of these structures, so you should look at them cautiously.
Determine the measure of angle 1
I need help with question 8 please
Answer:
38
Step-by-step explanation:
Answer:
38
Step-by-step explanation:
24, 29, 34, 36, 40, 49, 90, 94
Median: 36+40/2=76/2=38
5m- 3 = 4m +30
can you please help me with this problem
Answer:
m=33
Step-by-step explanation:
To solve this, we need to get the variable, m, by itself. Perform the opposite of what is being done to the equation. Keep in mind everything done to one side, must be done to the other.
5m-3=4m+30
3 is being subtracted from 5m. The opposite of subtraction is addition, so add 3 to both sides.
5m-3+3=4m+30+3
5m=4m+33
4m is being added on to 33. The opposite of addition is subtraction, so subtract 4m from both sides.
5m-4m=4m-4m+33
5m-4m=33
m=33
Here are the 30 best lifetime baseball batting averages of all time, arranged in order from lowest to highest:
0.329, 0.330, 0.331, 0.331, 0.333,0.333,0.333, 0.334, 0.334, 0.334, 0.336,
0.337, 0.338, 0.338, 0.338, 0.340, 0.340, 0.341, 0.341, 0.342, 0.342, 0.342,
0.344, 0.344, 0.345, 0.346, 0.349, 0.356, 0.358, 0.366
A stemplot is one way to display these batting averages, as shown below. In
this type of display, the entry 0.36|6 denotes one occurrence of the batting
average______.
0.32|9
0.33|01133344467888
0.34|1001122244569
0.35|168
0.36|6
A. 0.366
B. 0.3606
C. 0.360
D. 0.336
Answer:
D
Step-by-step explanation:
0.36|6=0.366
The solution is : The given statement is False.
What is histogram?A histogram is an approximate representation of the distribution of numerical data. A histogram is a graph that shows the frequency of numerical data using rectangles. The height of a rectangle (the vertical axis) represents the distribution frequency of a variable (the amount, or how often that variable appears).
here, we have,
We are given a the 30 data points which represent the best lifetime baseball batting averages of all time, arranged in order from lowest to highest.
As we know that we could obtain a frequency table from the following set of data points and histogram is a good way to represent the frequency data. ( i.e. a histogram is only used to plot the frequency of score occurrences in a continuous data set that has been divided into classes, called bins ).
Hence, the given statement,
A frequency table for these data can best be graphically displayed as a bar graph. That is, it should not be displayed as a histogram is a FALSE STATEMENT.
To learn more on histogram click:
brainly.com/question/17145899
#SPJ7
18:10 is equivalent to :5
Answer:
18:10 is equivalent to 9:5
Step-by-step explanation:
half of 18 is 9 and half of 10 is 5
Answer:
9:5
Step-by-step explanation:
18:10 is equivalent to 9:5 because 10 divided by 2 is 5 so you can do the same for 18. You will get 9 which makes it 9:5.
Complete questions 6,7,8
Answer:
Step-by-step explanation:
80x^2y=16*5*x^2*y=4^2*x^2*5*y=(4x)^2*5*y
56x^3*y^2=7*8x^3y^2=7*2^3*x^3*y^2=(2*x)^3*7*y^2
81xy^2=9^2y^2x=(9y)^2*x
Which of the following functions has:
Domain: LaTeX: \left(-\infty,\:\infty\right)( − ∞ , ∞ )
Range: [LaTeX: 0,\:\infty0 , ∞ )
Answer:
We can't see the functions. We also can read the domain or the range. Personal suggestion is to write the domain and range (-infity, 0) but substitute in what applies to your situation.
Step-by-step explanation:
What’s the area of the shape
Answer:
the answer is 37.68
i hope that helps
Correct answers only please!
Quincy has $6,000 in a savings account that earns 4% interest, compounded annually.
To the nearest cent, how much interest will he earn in 5 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
A = $ 7,299.92
A = P + I where
P (principal) = $ 6,000.00
I (interest) = $ 1,299.92
Step-by-step explanation:
A = P(1 + r/n)^nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
PLZPLZPLZPLZ help me!
Answer:
12 square units.
Step-by-step explanation:
We must find the area of each shape and add together. The area of a triangle is 1/2 base times height. The smaller triangles area is 2 and the larger triangle's area is 6. The area of the square is 4... so when all added together, we have 12.
Which property of real numbers is shown below?
3 + ((-5) + 6) = (3 + (-5)) + 6
Answer:
Associative property
In a cartons of bulbs, 90% contain no defective bulbs, 5% contain one defective bulb, 3% contain two defective bulbs, and 2% contain three defective bulbs. Find the mean and standard deviation for the number of defective bulbs.
Answer:
Mean, E(x) = 0.17
Variance, V(x) = 0.12
Step-by-step explanation:
90% contains no defective bulbs, P(X=0) = 0.9
5% contain one defective bulbs, P(X=1) = 0.05
3% contain two defective bulbs, P(X=2) = 0.03
2% contain three defective bulbs, P(X=3) = 0.02
The mean for the number of defective bulbs:
[tex]E(X) = \sum XP(X)\\E(X) = (0*0.9) + (1*0.05) + (2*0.03) + (3* 0.02)\\E(X) = 0 + 0.05 + 0.06 + 0.06\\E(X) = 0.17[/tex]
Variance for the defective bulbs:
[tex]V(x) = (\sum x^{2}P(x) ) - \mu^2[/tex]
[tex]\sum x^{2}P(x) = (0^2*0.9) + (1^2*0.05) + (2^2*0.03) + (3^2* 0.02)\\\sum x^{2}P(x) = 0.05 + 0.12 + 0.12\\\sum x^{2}P(x) = 0.29[/tex]
V(x) = 0.29 - 0.17
V(x) = 0.12
Please I really need the answer for this
Answer:
The third option
Step-by-step explanation:
GPE = mgh
Since the baseball has a larger mass as compared to the ping pong ball and is 50 feet off the ground which means that it has the highest height, the GPE will be the greatest