The perimeter of an equilateral triangle is 60 centimeters. The length of the altitude of the triangle is XV3 centimeters. What is the value of x?
Answers
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
Half of the triangle makes a 30°-60°-90° "special" triangle. We know the side ratios of that are 1 : √3 : 2. The long side is 1/3 of the perimeter, so is 60/3 = 20 = 10×2. Then the altitude is 10 times the middle ratio value: 10√3 ≈ 17.32.
Comparing this with x√3, we find x = 10.
Answer:
X = 25
Step-by-step explanation:
To solve this question, we'll first of all find determine the side length of the triangle from the perimeter.
Perimeter of an equilaterial triangle = 3 * s
S = side length
Perimeter = 150cm
150 = 3s
S = 150 / 3
S = 50cm
The side lengths are 50cm each since they are all equal.
To find x,
We have to divide the triangle equally into two different part.
Check the first attachment for better illustration on how the equilaterial triangle is.
Check the second attachment for better illustration on the triangle when its divided into a right angle triangle.
From the right angle triangle, we can use pythagorean theorem to solve for x
a² = b² + c²
a = 50cm
b = 25cm
c = x√(3)
50² = [x√(3)]² + 25²
2500 = x² * 3 + 625
2500 - 625 = 3x²
1875 = 3x²
X² = 1875 / 3
X² = 625
X = √(625)
X = 25
HOPE THIS HELPS
if so please give me a brainlist
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Rotation is when we rotate the image by a certain degree. ...
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30 is what percent of 40?
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Answer:
it is 75% sheeeesh. jdjdjd
Step-by-step explanation:
3/4
Answer:
75%
Step-by-step explanation:
Let the answer be 'x'
40 × x/100 =30
40x/100 = 30
40x= 3000
x =3000÷40
x= 75
thus 30 is 75% of 40
6
There are 20 sweets in a bag.
Seven of them are strawberry.
A sweet is taken at random from the bag.
What is the probability that the sweet taken is not strawberry?
Answers
The probability that a sweet taken at random from the bag is not strawberry would thus be 13/20.
A light bulb consumes 1800 watt-hours per day. How long does it take to consume 8100 watt-hours?
Answers
Answer:
8100/1800 = 4.5 days
Step-by-step explanation:
The circumference of the inner circle is 270.04 miles. What is the area of the shaded region?
Answers
area of a circle = [tex]\pi r^{2}[/tex]
circumference =[tex]2\pi r[/tex]
Okay so the center of the circle is the same for both of the circles lets take that value as m so the radius of the inner circle is 54 - m
we have the circumference of the inner circle which is 270.04 we can find the value of m using that
[tex]270.04=2\pi (54-m)\\270.04= 339.2-6.28m \\6.28m = 339.2-270.04\\m= 11.02[/tex]
the radius of the inner circle is therefore 42.98
and the full circle has a radius off 65.02
area of shaded region = area of full circle - area of inner circle
area of shaded region = [tex]\pi (65.02)^{2} - \pi (42.98)^{2}[/tex]
area of shaded region = [tex]13281.39 - 5803.4[/tex]
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The sequence 18, 9, 9/2, 9/4, 9/8, ... represents the percentage of votes a particular political candidate has according to polls each day after a scandal. The sequence has a common
Answers
Answer:
r = 1/2Step-by-step explanation:
Given sequence:
18, 9, 9/2, 9/4, 9/8, ...We can see this is a GP and its common ratio is:
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Your scores on the first 4 tests in Algebra were 85, 80, 90, and 93. What do you need to make on the 5th test to have a 90 average in the class?
Answers
Answer:
you would have to get a 100 on your fifth test
Step-by-step explanation:
because between your first 4 tests, the average is only 87 something but when you add 100 to that, the average turns to 89.6 which when rounded becomes 90.
help me please!!! no links 10 points
Answers
in persectev i think the answer in bound to be 17/10
Answer:
x=3 y=13
Step-by-step explanation:
now you got x... substitute x value with one of the questions then you get y
-3×3+2y=17
-9+2y=17
2y=17+9
y=26/2
y=13
i hope it's clear this is how elimination method works... this is how i learned.... t☺️❤️
Gina is building a rectangular prism out of sugar cubes for her art class project. She started by drawing a diagram of the rectangular prism that is 4 cubes high, 4 cubes long and 2 cubes wide. How many cubes does she use to make the prism?
Answers
The rectangular prism is made up of the dimensions
Lenght = 4 cubes
Width = 2 cubes
Height = 4 cubes
The total number of cubes she needs shall be derived as number of cubes along the lenght multiplied by number of cubes along the width, and then multiplied by number of cubes along the height. Therefore, she would have:
[tex]volume = l \times w \times h \\ volume \: = 4 \times 2 \times 4 \\ volume = 32 \: cubes[/tex]
Therefore, She need 32 cubes to make the prism.
What is the answer :>
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Answer:
A is the correct Answer
Step-by-step explanation:
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Answer:
igual es lo mismo
Step-by-step explanation:
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Answers
Answer:
Brooklyn earns four more dollars than Anna does each hour.
Step-by-step explanation:
So basically in order to get the amount ech of them recieve you would have to divide. So for Anna's since her least given number is 10 hours you would divide how much she earns (256) by how many hours she has been working (10) and you get 25.6
Now for Brooke she is given only one piece of evidence so you would use that she has been working for 26 hours and earns 769.6. So divide her earning by the hour and get 29.6
Subtract each of the answers (29.6-25.6) and you would get 4
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Answer:
Brooklyn earns four more dollars than Anna does each hour.
Step-by-step explanation:
True or false: The following table is linear.
Answers
The table is linear because it goes up at a consistent rate each time.
Janea bought a motorcycle for dollars. It depreciates by a factor of each year. Which expression best predicts the value of the car after 10 years?
Answers
Answer:
m·n¹⁰Step-by-step explanation:
Required equation is in the form of:
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For which of the following equations does n = 5?
I. 3n = 15
II. n2 = 25
III. 2n = 32
Answers
Answer:
1) 3n = 15
Step-by-step explanation:
15 divided by 3 is 5
Find the volume of the cylinder. Round your answer to the nearest hundredth.
Answers
9514 1404 393
Answer:
1763.01 m³
Step-by-step explanation:
The height of the cylinder will be ...
h = (18 m)sin(60°) = 9√3 m
The volume of the cylinder is ...
V = Bh
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Then ...
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A trapezoid with a height of 8 ft base measuring 11 ft has an area of 112ft find the length of the other base
Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
The dot plot shows two students’ scores on 12 history quizzes.
Which of the following statements correctly compares the median and the range of their scores?
A. The median of Lolo’s scores is greater that the median of Ami’s scores, and the range of Ami’s scores is greater that the range of Lolo’s scores
B. The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores
C. The medians are equal, and the range of Lolo’s scores is greater than the range of Ami’s scores
D. The median and range of Lolo’s scores are greater than the median and range of Ami’s scores
Answers
Answer:
The correct answer is B
Step-by-step explanation:
Both of their medians are equal and Ami's range is larger than Lolo's range :)
The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores
Option B is the correct answer.
What is median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
Lolo's quiz:
Scores: 12, 13, 13, 14, 14, 14, 15, 16, 16, 17, 17, 19
Median.
= (14 + 15)/2
= 14.5
Range,
= 19 - 12
= 7
Ami's score:
Scores: 10, 12, 12, 13, 13, 14, 15, 16, 17, 17, 18, 18
Median.
= (14 + 15)/2
= 14.5
Range.
= 18 - 10
= 8
We can say that,
The median is the same for both and Ami's range is greater than Lolo's.
Thus,
The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores
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https://brainly.com/question/28060453
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Answers
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Answers
Answer:
18,24,30
Step-by-step explanation:
hope this helps
Answer:
c
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
evaluate 4z -5y when z=8 and y=3
Answers
Answer:
17
Step-by-step explanation:
In 4z -5y, substitutte 8 for z and 3 for y, obtaining:
4(8) - 5(3) = 32 - 15 = 17
Answer:
17
Step-by-step explanation:
When you have a number by its variable you multiple, if you know the value of the variable then you multiply the two numbers together.
4z-5y
when z=8 and y=3
The equation really is
4 times 8 - 5 times 3
4 times 8 is 32
5 times 3 is 15
15-32
15-32= 17
What is the next term of the geometric sequence 5, 20,80
Answers
Answer:
a₄ = 320
Step-by-step explanation:
To obtain a term in a geometric sequence , multiply the previous term by the common ratio r
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a₄ = 4 × a₃ = 4 × 80 = 320
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Answers
Like what that guy said sorry did not mean to disturb
PLZ, I WILL GIVE BRAINLIEST IF YOU HELPPP!
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1.) 1, 2, 3, 5, 7
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What is the perimiter of a quadrilateral with verticles at (5,2), (10,2), (5,5), and (10,5)
Answers
Answer:
55
Step-by-step explanation:
