A traffic yield sign is in the shape of an equilateral triangle. If each side is 36 inches,
what is the height of the sign to the nearest tenth of an inch?
Answers
Answer:
31.2 inches
Step-by-step explanation:
Draw a line representing the height of the triangle, and divide it into 2 triangles.
Apply Pythagoras Theorem on one of the smaller triangles first.
[tex]h = \sqrt{ {36}^{2} - {(36 \div 2)}^{2} } \\ h = \sqrt{ {36}^{2} - {18}^{2} } \\ h = \sqrt{972} \\ h = 31.17691...[/tex]
h = 31.2 inches (rounded to the nearest tenth)
Related Questions
Lin has a die with 6 sides, each labeled 1, 2, 3, 4, 5, and 6. What is the probability that she will roll a 3? *
Answers
Answer:
Probability of rolling number 3 = [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
Lin has a die with 6 sides.
Each side of the die is labeled with 1, 2, 3, 4, 5 and 6.
Since, probability of rolling any number = [tex]\frac{\text{Favorable event}}{\text{Total number of events}}[/tex]
Therefore, probability of rolling number 3 = [tex]\frac{\text{Favorable event}}{\text{Total number of events}}[/tex]
Favorable event of getting 3 in single roll = 1
Total events that can happen in one roll = 6
Therefore, probability of rolling number 3 = [tex]\frac{1}{6}[/tex]
lots of point n brainliest SO help rq
Bruce invested a certain amount of money for five years at a rate of 2.25%. At the end of that time, he had earned $675 in interest. How much money was invested? (See Example 3 from your notes.)
a
$6000
b
$6675
c
$6750
d
$5645
Answers
Answer:
A. $6000Step-by-step explanation:
Let the invested amount is x.
Then the interest amount is:
x*5*2.25/100 = 6750.1125x = 675x = 675 / 0.1125x = 6000Correct choice is A
A garage door code has 5 digits. If no digit is repeated, how many codes are possible?
Hint: the possible digits are 0-9
Answers
Answer:
There are 30240 possible codes.
Step-by-step explanation:
For the first digit, there are 10 number choices possible:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9
For the second digit, 9 number choices, because one of the digits cannot be repeated.
For the third, 8 number choices, because two of the digits cannot be repeated.
For the fourth, 7 number choices, because three of the digits cannot be repeated.
For the fifth, 6 number choices because four of the digits cannot be repeated.
Now multiply all the numbers, and you can see that there are 10*9*8*7*6, or 30240 codes possible.
No Links or I will report you Algebra 1 help 2 questions Interpret Exponential Function Constant
Answers
Answer:
1) The function is decreasing exponentially at a rate of 15% every decade.
2) The function is increasing exponentially at a rate of 20% every year.
Step-by-step explanation:
1) 1–0.85 = 0.15
0.15 x 100 = 15%
2) 1.2–1 = 0.2
0.2 x 100 = 20%
This solid shape is made from 5 cubes.
Answers
Answer:
what is the question?
Step-by-step explanation:
the staff has a meeting every morning.how long do they spend on meetings in a fortnight?
Answers
Answer:
isn't a fortnight 14?
Step-by-step explanation:
Each morning papa notes the birds feeding on his birdfeeder. So far this month he has seen 59 blue jays, 68 black crows, 12 red robins and 1 cardinal
what is the probability of a blue jaybeing the next bird papa sees?
A. 0.421
B 0.59
C. 0.059
D. 0.042
Answers
A sign next to the science lab says a person must be 54 inches tall to go in. At his last doctor's appointment, Hever was 4 feet 4 inches tall. He has grown 3 inches since then.
Answers
Answer:
Therefore he can go inside because 55 inches is taller than 54 inches.
Step-by-step explanation:
1 feet = 12 inches
His height is 4 feet and 4 inches
4 feet and 4 inches means
= 4*12+ 4
Converting feet into inches
=48+4= 52 inches
His height was 52 inches.
He has grown 3 inches
His new height is 52+3 = 55 inches
Therefore he can go inside because 55 inches is taller than 54 inches.
HELPPP W TRIANGLE ABC graph!!??
Answers
-3,4. i adding this cause this answer needs atleast 20 characters
Un padre cede al mayor de sus hijos la quinta parte de su capital, al segundo la cuarta parte del mismo y al tercero le da el resto, que son 33,000 euros. ¿Cuál era su capital? ¿Cuánto le correspondió a cada hijo?
Answers
Answer:
El padre tenía un capital de 60,000 euros.
El hijo mayor recibe 12,000 euros.
El hijo segundo recibe 15,000 euros.
El hijo tercero recibe 33,000 euros.
Step-by-step explanation:
Sea [tex]x[/tex] el capital total del padre y [tex]a,b,c[/tex] son las asignaciones a los hijos mayor, segundo y tercero. A continuación, construimos las ecuaciones matemáticas a partir de lo descrito en el enunciado:
Hijo mayor
[tex]a = \frac{1}{5}\cdot x[/tex] (1)
Hijo segundo
[tex]b = \frac{1}{4}\cdot x[/tex] (2)
Hijo tercero
[tex]c = \left(1-\frac{1}{5}-\frac{1}{4}\right)\cdot x = 33000[/tex] (3)
De (3) tenemos que el capital del padre es:
[tex]x = \frac{33000}{1-\frac{1}{5}-\frac{1}{4} }[/tex]
[tex]x = 60000[/tex]
El padre tenía un capital de 60,000 euros.
Por (1) y (2) determinamos los capitales del hijo mayor y el hijo segundo:
[tex]a = \frac{1}{5}\cdot x[/tex]
[tex]x = 12000[/tex]
El hijo mayor recibe 12,000 euros.
[tex]b = \frac{1}{4}\cdot x[/tex]
[tex]b = 15000[/tex]
El hijo segundo recibe 15,000 euros.
María Rodriquez Single-payment loan of $1,000 Interest rate of 7% Ordinary interest for 108 days What is the interest owed? What is the maturity value?
Answers
Answer:
$1,020.71
Step-by-step explanation:
Solving the equation:
A = 1000(1 + (0.07 × 0.29589)) = 1020.7123
A = $1,020.71
What is the arc length if θ = 6 pi over 5 and the radius is 2 cm? (1 point)
Answers
b) Thousandth means one part from_______
equal parts
Answers
Answer:
One thousand
Step-by-step explanation:
Answer: one thousand
Step-by-step explanation:
A thousandth is one of a thousand equal parts of something. ... a dust particle weighing only a thousandth of a gram.
What is the area of the trapezoid?
Answers
Answer:
area = 432 ft²
Step-by-step explanation:
area = 1/2(B1 + B2)(H)
area = 1/2(20 + 16)(24) = 432 ft²
I’ll give the Brainliest to who answers these questions with reasonable explanations.
1. A bag has 16 marbles in it: 6 red, 4 blue, 3 yellow, and 3 green. A marble is drawn and put back, and then another marble is drawn. What is the probability that a blue marble was drawn followed by a yellow marble?
2. A bag has 16 marbles in it: 6 red, 4 blue, 3 yellow, and 3 green. A marble is drawn and not put back, and then another marble is drawn. What is the probability that a blue marble was drawn followed by a yellow marble?
Thank you.
Answers
Answer:
1. 0.0469 (4.d.p)
2. 0.05
Step-by-step explanation:
1. First we'll find the probability of drawing a blue marble.
P = (No. favourable events)/(Total events)
In this case it's:
P = (No. blue marbles)/(Total Marbles)
Therefore P(Blue) = 4/16 = 0.25
Now we find the probability of drawing a yellow marble:
The total number will be the same because the blue marble will have been put back.
P(Yellow) = 3/16 = 0.1875
Now, since we are calculating the probability of both happening we multiply together the two individual probabilities to get the combined probability of both:
0.25 x 0.1875 = 0.0469 (4.d.p)
2. The probability of drawing a blue marble is still the same so we can keep that: P(Blue) = 0.25
But this time, the marble is not replaced. This means that the total number of marbles has changed when drawing the yellow marble:
P(Yellow) = 3/15 = 0.2
Now we multiply them together again to find the combined probability of both happening:
0.25 x 0.2 = 0.05
Hope this helped!
if an interior angle measures 120 degrees what is the measure of the adjacent exterior angle
Answers
Answer:
60
Step-by-step explanation:
180 - 120 = 60
when dealing with interior and exterior angles, the highest is 180 degrees
A rectangle with area
126
square inches has a length that is four less than two times the width. Find the length and the width of the rectangle.
Answers
Answer:
Step-by-step explanation
width is 9. length is 14
Susan collected 89 stickers for 28 weeks. How many stickers did she collect in total round off your answer to the nearest hundred answer for free
Answers
Answer:
2500 ( nearest hundred)
Step-by-step explanation:
Given that :
Number of stickers collected per week = 89
Number of weeks for which stickers were being collected = 28
To obtain the total number of stickers collected, we take the product of the number of weeks for which the stickers were beug vcilled and the number of stickers collected per week
The number of stickers collected :
89 * 28 = 2492
2492 = 2500 ( nearest hundred)
PLEASE HELP (12 YEAR OLD MATH)
Answers
Answer:
1.5 I think?
Step-by-step explanation:
it was counting by 6 but then skipped to 26 so I assume it is 1.5
Captain Ishaan has a ship, the H.M.S Crimson Lynx. The ship is four furlongs from the dread pirate Michael and his merciless band of thieves. If his ship hasn't already been hit, Captain Ishaan has probability \dfrac{2}{5} 5 2 start fraction, 2, divided by, 5, end fraction of hitting the pirate ship. If his ship has been hit, Captain Ishaan will always miss. If his ship hasn't already been hit, dread pirate Michael has probability \dfrac{3}{8} 8 3 start fraction, 3, divided by, 8, end fraction of hitting the Captain's ship. If his ship has been hit, dread pirate Michael will always miss. If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that both the Captain and the pirate hit each other's ships?
Answers
Answer:
2/5*0=0
Step-by-step explanation:
i did it on khan
ACELLUS HELP ASAP
a coffee shop, the first 100 customers'
orders were as follows.
Small
Medium
Large
Hot
5
48
22
Cold
8
12
5
What is the probability that a customer ordered
a large given that he or she ordered a cold
drink?
Rounded to the nearest percent, [? ]%
Enter
Answers
Find the shaded area.
Answers
We have to do blue Area- white area, so 32
For this parallelogram (a) choose the best name and then (b) find the value of x and y.
Answers
Answer:
rectangle
7x + 4 = 36/2
7x + 4 = 18
7x = 14
x = 2
there is no y
3(x−6)=−12 what is the answer pls
Answers
Answer:
[tex]3(x - 6) = - 12 \\ 3x - 18 = - 12 \\ 3x = - 12 + 18 \\ 3x = 6 \\ x = \frac{6}{3} \\ x = 2[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
Answer:
x = 2
3 (x-6) = -12
3x - 18 = -12
3x - 18 + 18 = -12 + 18
3x = 6
3x/3 = 6/3
Hence, x= 2
Step-by-step explanation:
pls mark as brainliest
hope it helps u
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Answers
Answer:
b.........................
Answer:
D.
Step-by-step explanation:
bahahahhaa
Hey karlieeeeeeeeeeeeee XD
is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.
Answers
Answer:
it's a parallelogram.
Step-by-step explanation:
reason Since the vertically opposite angles are equal definitely the sides must be parallel to each other there by making it a parallelogram
Find the gradient of the line segment between the points (-2,7) and (1,5).
Give your answer in its simplest form.
Answers
The answer is -2/3, hope this helps!
What is the mean of the following data set: 100, 121, 105, 113, 108
Answers
Answer:
Mean = 109.4
Step-by-step explanation:
Mean = (Sum of all values)/(Number of values)
Mean = (100 + 121 + 105 + 113 + 108)/(5)
Mean = (547)/5
Mean = 109.4
Answer:
109
Step-by-step explanation:
Mean is just finding the average of the data set.
100+121+105+113+108=547, first add up all the numbers
547/5=109.4, then divide that sum by the amount of numbers in the set
The sum of twice a number, n, and 14 is 30. Write an equation that models this
statement. Then explain how you might use reasoning to find the value of n.
Answers
Answer:
2n +14 = 30 I can use inverse operations and solve for n.
Step-by-step explanation:
twice means 2 so twice a number,n, means 2 times n thus 2n.
sum means add so, 2n + 14
is means equal so 2n + 14 = 30
If you solve it you will find n = 8
At a concession stand, a pickle and two bags of chips costs a total of $3.25. Three pickles and four bags of chips costs a total of $7.25. To determine the cost of one pickle, Kevin is writing a system of equations. His first equation is shown: x + 2y = 3.25
Which of the following could be the second equation in his system of equations?
3x + 4y = 7.25
4x + 3y = 7.25
3x - 4y = 7.25
(3 + 4)x = 7.25
Answers
Answer:
p + 2c = 3.25 Start with these two equations
3p + 4c = 7.25
p = -2c + 3.25 Solve for one variable
3(-2c +3.25) + 4c = 7.25 Substitute
-6c + 9.75 + 4c = 7.25
-2c = -2
c = 1
p + 2(1) = 3.25 Substitute
p + 2 = 3.25
p = 1.25
A bag of chips costs $1
A pickle costs $1.25
Step-by-step explanation:
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