Answer:
If the sides of a triangle are in the ratio 3:4:5, prove that it is a right-angled triangle.
Step-by-step explanation:
In order to prove that the triangle is a right-angled triangle or not, take the ratio as the length of the sides then consider the triangle to be a right-angled triangle, then prove the Pythagoras theorem. If the sides satisfy the Pythagoras theorem, then it’s a right-angled triangle otherwise, it’s not a right-angled triangle.
We are given the sides of a triangle whose ratio is 3:4:5.
Considering the sides to be 3x,4x,5x.
Since, we know that the length of hypotenuse is always greater than the other two sides, so we are taking the hypotenuse to be 5x and other remaining sides to be 3x and 4x.
We are only considering that the given triangle is a right-angled triangle. For that we need to prove that the sides follow Pythagoras theorem.
So, for Pythagora's theorem, we know that the sum of the square of the base side and square of the height side is equal to the square of the hypotenuse.
Squaring the base side 4x, we get:
(4x)2=16x2 …….(1)
Similarly, squaring the height side 3x, we get:
(3x)2=9x2 …….(2)
Squaring the hypotenuse side 5x, and we get:
(5x)2=25x2 …….(3)
Taking the sum of (1) and (2):
16x2+9x2=25x2, which is equal to the equation (3).
That means the sum of the square of base and the square of height is equal to the square of hypotenuse, that satisfies the Pythagoras theorem, that implies the triangle ABC is actually a right-angled triangle, which is right-angled at B. And this proves our consideration to be true.
Answer:
it is a right triangle
Step-by-step explanation:
If the triangle is a right triangle, it will meet the Pythagorean theorem
a^2 + b^2 = c^2
3^2+4^2 = 5^2
9+16=25
25=25
This is true so it is a right triangle
help!?!!!???
x-14=20
Answer:
x = 34
Step-by-step explanation:
Just add 14 on both sides of the equal sign to get x = 34.
Hope this helps :)
Answer:
x = 34
Step-by-step explanation:
hope it helps a lot
that's the final answer
Thinking about the function of the flower organ, what advantage does a flowering plant have over a nonflowering plant?.
Answer: The flowering plant grows fruit, while the nonflowering plant doesn't.
Step-by-step explanation: Brainliest please
Flowering plants have reproductive organs, which is an advantage over non-flowering plant.
What are flowering plants?A plant that produces flowers, fruit, and seeds also called angiosperm.
Given that, advantage a flowering plant have over a non-flowering plant,
Flowering plants have a reproductive advantage over gymnosperms (non-flowering) because of different adaptations, such as having flowers that allow for pollination and fruit for seed dispersal.
Hence, flowering plants have reproductive organs, which is an advantage over non-flowering plant.
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How to solve for x: 2x-9=5
Answer:
5=2x-9
14=2x
x=7
Hope This Helps!!!
What is the value of the 9 in the number 567.09?
Answer:
After the decimal point (left to right) are the tenths, hundredths, thousandths, ten-thousandths, and so on. The value of the 9 would be 9 hundredths.
:)
1. The coordinates tell you that every 12 seconds 5 gallons of water runs from the
hose into a bucket
How many gallons of water were in the bucket after 1 second
Answer:
5/12 of a gallon
Step-by-step explanation:
5 divided by 12 is 5/12
I will give 20 points
Answer:
This is like quadratic equation you just say y=1x+-2 and then you get the answer
1-2 what is the slope of the table
Answer:
1. the slope is 3/1 = 3
2. the y-intercept is 2
Step-by-step explanation:
hope this helps :)
HELPPPP!! question: uppose you put $150 in the bank 1 year ago. A sign at the bank reads 2% simple annual interest.
Fill in the values to complete the table.
45 points!!! help me please
what is the mean number of cars owned by a family? Give your answer to 1 decimal place.
Answer:
Step-by-step explanation:
total # of families=15
families that own 0 cars=2
families that own 1 cars=5
families that own 2cars=4
families that own 3 cars=3
families that own 4 cars=1
so 2+5+4+3+1=15
total# of families/ sum of cars = 15/15=1
Where can Anne be found in the video?
This is the only known video of Anna frank. Answer using a single word,and lower case letter
Answer:
Step-by-step explanation:
An instant best-seller and eventually translated into more than 70 languages, The Diary of Anne Frank has served as a literary testament to the nearly six million Jews, including Anne herself, who were silenced in the Holocaust. The Frank family’s hideaway at Prinsengracht 263 in Amsterdam opened as a museum in 1960
srry i dont know but here
beno
8) Sarawong spent half of his weekly
allowance playing mini-golf. To earn
more money his parents let him wash the
dog for $5. What is his weekly allowance
if he ended with $12 ?
Answer:
$ 14
Step-by-step explanation:
12 - 5 = 7 = half weekly allowance
Andrew owns a plumbing company .the table shows the total amount charged based on the number of hours it takes to complete a job . Which equation best represents this situation?
Andrew's charges is an illustration of a linear function
The equation that represents the situation is [tex]\mathbf{y = 12x +45}[/tex]
From the table (see attachment), we have the following points
(x,y) = (1,57) and (2,69)
Start by calculating the slope (m)
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 -x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{69 - 57}{2 -1}}\\[/tex]
Simplify fraction
[tex]\mathbf{m = \frac{12}{1}}[/tex]
Divide
[tex]\mathbf{m = 12}[/tex]
The equation is then calculated using:
[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]
So, we have:
[tex]\mathbf{y = 12(x - 1) + 57}[/tex]
Open brackets
[tex]\mathbf{y = 12x - 12 + 57}[/tex]
Evaluate like terms
[tex]\mathbf{y = 12x +45}[/tex]
Hence, the equation that represents the situation is [tex]\mathbf{y = 12x +45}[/tex]
Read more about linear equations at:
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go ahed and try im confuesd
Answer:
a and c and e
Step-by-step explanation:
Answer: I believe its proportional
Step-by-step explanation:
Use the commutative property to simplify the expression. niin 3.2.10 5 O A. (10) = 6 - O B. ( - ) - 10 = 2 O c. } } -10 = 10 = 3 - O D. 10.3.3 = 4.5 = 3 PES 30 2 5
Answer:
Step-by-step explanation:
666
can yall help me plzz
Answer:
x = 8
Step-by-step explanation:
To get x on its own we need to divide both sides by 0.6: 4.8 ÷ 0.6 which is 8.Hope this helps!
The temperature in Birmingham is 5°C colder than in London ( London temperature is 6 ). What is the temperature in Birmingham
Answer:
1˚C
Step-by-step explanation:
First, you take 5 away from 6
5 = 5°C colder than in London
6 = The temperature in London
1ºC. 6 minus 5 equals 1.
and also that is quite easy for high school.
helpppp
simplify √5 × √3
Answer:
√15
Step-by-step explanation:
When you multiply surds:
multiply the numbers inside the square roots i.e. √(5 × 3) = √15simplify if possible (not possible in this case)Hope this helps!
What’s the answer to 4(1+9x)
Answer:
36x+4
hopes this helps
Answer:
Explanation:
4 ( 1 + 9x)
4 + 36x
PLEASE HELP ME I REALLY NEED HELP!!
Answer:
Yes, based on ASA or AAS
Step-by-step explanation:
Subtract the two angle values of one triangle from 180 to dictate whether the missing angle is equal to the other triangle.
180-63= 117- 45=72
The triangles are equal/congruent because two angles and a side are the same values on both triangles.
i think of a number times it by 2 and minus 2 my answer is nine
Answer:
5.5
Step-by-step explanation:
5.5 times 2 equals 11 minus 2 equals 9
5.5
Step-by-step explanation:
Vanessa walks her puppy 12 of a miles in 20 minutes. How far does she walk her puppy in 1 hour?
Show work. (Type answer in word form)
Answer:
thirty-six of a miles or [tex]36[/tex] miles of a miles <--- I didn't know if you meant regular miles
Step-by-step explanation:
We can convert 1 hour to 60 minutes
[tex]60\div20=3[/tex]
Since it is [tex]3[/tex] [tex]times[/tex] the time and we assume her rate is consistent we multiply 3 by 12
[tex]3\cdot12=36[/tex] of a miles
thirty-six of a miles
Brainliest please :)
Answer:
Vanessa walks her puppy for 36 miles in 1 hour.
Step-by-step explanation:
She walks 12 miles in 20 minutes
1 hour = 60 minutes
There are 3 - 20 minute periods so she walks her puppy 12(3) miles, or 36 miles
-Chetan K
Please help me with this
Answer:
make me brainliest
Step-by-step explanation:
1: x ≤ 18/5
2: x > 4
3: x ≤ 4
4: x < 12
5: x > 1/4
6: x ≤ 2
7: x ≤ 5
8: x > 10
9: x < 5/2
10:7/3x^2 + 4/3x + 12
11: 2 < x < 15
12:25/2 < x ≤ 45/2
Simplify x^3 divide by x^2
half the quotient of 4 and a number y
Answer:
y = 1
Step-by-step explanation:
Hello!
2x2=4 so 2 is the quotient and half of 2 is obviously 1. So you add y to that and its y = 1.
The expression of half the quotient of 4 and a number y is gotten as; ¹/₂ * 4/y
How to solve algebraic questions?
From the definition of quotients, we know that a quotient is a result obtained by dividing one quantity by another.
Thus, quotient of 4 and a number y is; 4/y
To get half of the value above, we will just multiply it by half to get;
¹/₂ * 4/y
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A grid is 10 squares high and 10 squares wide. The distance between each grid square is 3 feet. The triangular viewing area of camera is shown. The right triangle has 2 sides with lengths of 5 grid squares. The area of the triangle is 112.5 feet squared.
Alan wants to install security cameras in his store, which has dimensions of 30 feet by 30 feet. Each camera can view an area of approximately 112.5 ft2, with a viewing area shaped like a right triangle.
How many cameras will be necessary to cover the entire store?
.
If he places cameras only in the corners of the store, how much area is left uncovered?
ft2.
Answer:
1) 8
2) 450 ft^2
Step-by-step explanation:
Each triangle takes half a square worth of space, so if you add up 2 triangles for 1 square that is 1/4 of the area, multiply that by 4 and you get 8 cameras.
The left over space in the store is the same amount of space as all the cameras space added together since each camera takes up half a square. That way 4 cameras(each 112.5 ft^2 each) equals 1/2 of the room which added together is 450 ft^2, the other half would be the left over space, 450 ft^2.
1) The cameras will be necessary to cover the entire store are 8
2) The area left uncovered is 450 ft^2
Each triangle takes half a square worth of space, so if you add up 2 triangles for 1 square that is 1/4 of the area, multiply that by 4 and you get 8 cameras.
What is the area of the triangle?
The area of the triangle is
[tex]=\frac{1}{2}\times height \times base[/tex]
The leftover space in the store is the same amount of space as all the camera's space added together since each camera takes up half a square.
That way 4 cameras(each 112.5 ft^2 each) equals 1/2 of the room which added together is 450 ft^2, the other half would be the leftover space, 450 ft^2.
1) The cameras will be necessary to cover the entire store are 8
2) The area left uncovered is 450 ft^2
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What is the base of the expression 6^-4?
Answer:For this case we have that by definition it is fulfilled:
Where:
a: It is the base
b: It is the exponent
So, if we have the following expression:
-6 to the power of 4, is equivalent to:
So we have to:
-6: It is the base
4: It is the exponent
-6: It is the base
4: It is the exponent
Step-by-step explanation:
what is 8 times 38 plz let me know
Answer:
304
Step-by-step explanation:
use a calculator for that.
2. Compare the weather on two different days using an inequality. Then see if their comparisons change by finding the absolute value of each.
Day 1: -3.5 F
Day 2: 5 F
Comparison of Day 1 and Day 2: __-3.5__ < __5___ or ___5__ > ___-3.5____
Comparison of days with absolute value: ____ < _____ or _____ > _______
WILL GIVE BRAINLIST FOR A CORRECT ANSWER
Answers:
-3.5 < 5
|-3.5| < |5|
============================================
Explanation:
Any negative number is always smaller than any positive number. So that's why -3.5 is smaller than 5 and where -3.5 < 5 comes from. It might help to set up a vertical number line. Stuff on top is larger than stuff down below.
---------
The vertical bars represent absolute value. The result of |-3.5| is 3.5 because this is the distance from -3.5 to 0 on the number line. Likewise, |5| = 5.
So that's how we get to |-3.5| < |5| which is effectively saying -3.5 is closer to zero than 5 is to zero.
Divide.
123 : 5
remainder
123 / 5
100 / 5 = 20
20 / 5 = 4
3 = remainder
calculate the compound interest on 10,000 for 6months at 2% per annum compounded quaterly
Answer:
Step-by-step explanation: