find the length of the third side of triangle if its midline measures 45cm
Answer:
20 cm is the length of third side of triangle
Step-by-step explanation:
Length of 1st side = a
Length of 2nd side = 10cm = b
Length of 3rd side = 15cm = c
So,
Perimeter of triangle = 45 cm
a+b+c = 45cm
a + 10 + 15 = 45 cm
.'. a = 45-25 cm
= 20 cm
The midline or midsegment has a length equal to half of the third side.
Therefore, the length of the third side is 45 cm × 2 = 90 cm.
Response:
The length of the third side is 90 cmWhich theorem can be used to find the length of the third side?Given:
The length of the midline = 45 cm
Required:
The length of the third side
Solution:
The midline is the line joining the midpoint of two sides of a triangle.
According to the midsegment theorem, the midline of a triangle is
parallel to the third side and has a length equal to half the length of the
third side.
Which gives;
The length of the mid line = [tex]\mathbf{\frac{1}{2}}[/tex] × The length of the third side
Let x represent the length of third side, we have;
45 = [tex]\frac{1}{2}[/tex] × x
Which gives;
The length of the third side, x = 2 × 45 cm = 90 cm
Learn more about the midsegment theorem here:
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A city has the population of 210,000 people. Suppose that each year the population grows by 7.5%. What will the population be after 13 years?
Answer:drip
Step-by-step explanation:
1 2 4
Chad wants to know which professional baseball player is most popular among the 300 students at his school. Which is the most representative and reasonable sample for him to survey?
Answer:
It could be to: collect data from a sample of every twentieth student who arrives at school one day
Cos(x+y)cos(x-y)=cos^2y - sin^2x
cos(x + y) cos(x - y) = (cos(x) cos(y) - sin(x) sin(y)) (cos(x) cos(y) + sin(x) sin(y))
… = (cos(x) cos(y))² - sin(x) sin(y) cos(x) cos(y) + sin(x) sin(y) cos(x) cos(y) - (sin(x) sin(y))²
… = (cos(x) cos(y)) - (sin(x) sin(y))²
… = cos²(x) cos²(y) - sin²(x) sin²(y)
… = (1 - sin²(x)) cos²(y) - sin²(x) sin²(y)
… = cos²(y) - sin²(x) cos²(y) - sin²(x) sin²(y)
… = cos²(y) - sin²(x) (cos²(y) + sin²(y))
… = cos²(y) - sin²(x)
An angle turns through 2/6 of a circle. What is the measure of the angle?
Step-by-step explanation: coxhck dewmsaksak sadjnsajmksa
Mai wants to buy a pair of jeans at the mall. The jeans cost $35.00. She has a coupon for that store. She pays $28.00 for the jeans. What was the percent of her discount?
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Answer:
20%
Step-by-step explanation:
The discount was $35 -28 = $7. As a percentage of the original price, that is ...
$7/$35 × 100% = 20%
Mai's coupon was for a 20% discount.
PLEASE HELP ILL GIVE YOU
Answer: No she cannot cover it
Step-by-step explanation:
1yd² = 1296in²
16 x 11 x 9 = 1584in²
1296in² < 1584in²
which graph represents the function f(x)=4|x|?
Answer:
I think this is what the graph looks like.
Step-by-step explanation:
I hope this helps.sorry if it's wrong.
Answer:
it will go through the points (-1, 4), (0,0), and (1, 4)
Step-by-step explanation:
I have 10 questions can someone help me please 1 9/5+8/5. 2 1/3+1/3 3 2/4+1/4
Answer:
1. 3 2 /5
2. 2/ 3
3. 3/4
Step-by-step explanation:
Janessa is playing a board game with two friends. Using a single die, one friend rolled a four,
and the other friend rolled a three, Janessa needs to roll a number higher than both friends in
order to win the game, and she wants to calculate her probability of winning.
Is the probability of Janessa winning an independent event or dependent event? Why?
O Her probability of winning a dependent event because it does not depend on the results of her
friends' rolls.
Her probability of winning is a dependent event because it depends on the results of her friends' rolls.
O Her probability of winning is an independent event because it does not depend on the results of her
friends' rolls.
O Her probability of winning is an independent event because it depends on the results of her friends'
rolls.
Answer:
it may benright
Step-by-step explanation:
the first one
Answer:
The probability of Janessa winning is an independent event because it is independent of the results of her friends’ rolls.
Step-by-step explanation:
I took the quiz
Solve the equation for the value of x
-6=x/-4
Please show your work, thank you.
I need help with this.
Answer:
answer is 2
Step-by-step explanation:
add 1+1 then that gives you 2
subtract 2 from 1 that gives you 1
final answer: 1
Answer:
1/4=25%
Each section has 25% probability of the spinner landing on it
Please help, will mark Brainly and if you need help with anything I’ll help with any work you send
Answer:
first
[tex]9(x + 7) \\ second \: \: 7x(x + 5)[/tex]
Mr. Markle has a jar on his desk that contains 10 marbles shown.
What is the likelihood that a red marble will be chosen?
Answer:
10% or 1/10 Or very Low ..
Which point is at 1 on the number line?
Choose 1 answer:
(Choice A)
A
(Choice B)
B
(Choice C)
C
(Choice D)
D
A box of 15 cookies cost nine dollars what is the cost for one cookie
Answer:
the cost for one cookie is $0.6(60 cents)
Step-by-step explanation:
9 divided by 15 = 0.6
Answer:
60 cents
Step-by-step explanation:
Cost of 15 cookies = $9
Cost of 1 cookie = 9/15
9/15=0.6
Hi!! <3 Please help me with this question!! TYSM! :)
Answer:
c and d
Step-by-step explanation:
area = length * breadth
Answer:
c
Step-by-step explanation:
please like my answer and brainliest me HSHSSHSHS
65 is what percent of 120?
(round to the nearest percent)
Answer:Lets say 60 is rounded to 60. So 60 is half of 120 , which means that the answer is a little bit more than 50% since 50x2=100%
So 50 plus the 5 we took away from the 60 in the beginning is 55%
I think your answer is 55%
Step-by-step explanation:
Your answer is 55%
The percentage of 65 out of 120 will be 54.167%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The whole numbers are 65 and 120.
Then the percentage is written as,
P = (65 / 120) x 100
P = 0.54167 x 100
P = 54.167%
The percentage of 65 out of 120 will be 54.167%.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ2
QUICK I NEED HELP!!!!!!
Answer:
500
Step-by-step explanation:
a) Triple the difference of a number and six is thirty.
Answer:
3(6-x)=30
Step-by-step explanation:
Find the gradient of a normal line to the line 1.9y+-43.1x-{c}=0
Find the perimeter of the rectangle whose vertices are the points with coordinates (-2,5), (6,5), (-2,8), and (6,8).
Answer:
22 is the perimeter
Step-by-step explanation:
hope it helps
A square has an area of 16x^2 square inches. If the sides of the square were to increase by 2 units, what is the new area of the square?
Answer:
16x² + 64x + 64
Step-by-step explanation:
Given
A = 16x²
Increasing the sides by 2, substitute x = x + 2 into A
A = 16(x + 2)² ← expand factor using FOIL
= 16(x² + 4x + 4 ) ← distribute
= 16x² + 64x + 64
how can I subtract 4/3 - 1/3
Answer:
1
Step-by-step explanation:
Since they have the same denominator, it would be:
[tex]\frac{4}{3}-\frac{1}{3}=\frac{4-1}{3} =\frac{3}{3}=1[/tex]
Find the volume of the figure. Use 3.14 for pi a cone sphere has a diameter of 10 and a sphere has a height of 12 cm asking for a friend they need help asap will mark brainliest
Answer:
576 cm³
Step-by-step explanation:
cone = 1/3x3.14x5x5x12=314
1/2 sphere = 1/2x4/3x3.14x5x5x5=262
314+262=576
you walk into a store that is closing. the pants normally cost $60.00 but it is discounted 75% they are also taking additional 20% of what is the final price that you pay for the pants?
Answer:
The final cost of the pants is $ 12.
Step-by-step explanation:
Given that at a store that is closing the pants normally cost $ 60.00 but it is discounted 75%, and they are also taking an additional 20% off, to determine what is the final price for the pants, the following calculation must be performed:
100 - 20 = 80
(60 - (60 x 0.75)) x 0.80 = X
(60 - 45) x 0.80 = X
15 x 0.80 = X
12 = X
Thus, the final cost of the pants is $ 12.
How are you able to determine whether or not a fraction is rational or irrational
The area of a triangle is 36 square inches. What is the height of the triangle if the base length is 8 inches? (3 points) a 8 inches b 9 inches c 12 inches d 6 inches
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Answer:
b. 9 inches
Step-by-step explanation:
The area of a triangle is given by ...
A = 1/2bh
Solving for h, we get ...
h = 2A/b
h = 2(36 in²)/(8 in) = 72/8 in
h = 9 in
The height of the triangle is 9 inches.
A conglomerate of Christmas tree growers in Oregon wants to know if there is a difference in preference for live Christmas trees between urban and rural regions of the state. They randomly surveyed 160 rural households that put up a Christmas tree the previous season and found that 64 had used a live tree. In a separate random survey, 89 of 261 urban household had put up a live tree the previous season. The 95% confidence interval for the difference of the true proportion of all households (rural - urban) in Oregon that preferred a live tree is between -0.036 and 0.154. Based on the confidence interval, is there convincing evidence that the two population proportions are different
Answer:
0 is part of the confidence interval, which means that there is not convincing evidence that the two population proportions are different.
Step-by-step explanation:
Based on a confidence interval for the difference of proportions, there will be significant evidence that the proportions are different if 0 is not part of the confidence interval for the difference of proportions.
In this question:
Confidence interval between -0.036 and 0.154
0 is part of the confidence interval, which means that there is not convincing evidence that the two population proportions are different.
the table shows a sprinter's times in seconds for the 100 meter dash at the first meets of a season what sprinters time for the 100 meter dash at these meets
Answer:
10.116
Step-by-step explanation:
Add up all the times and then divide it by the number terms