Based on the areas of the squares, determine whether the triangle shown is a right triangle.
Answers
Explanation:
Pythagorean Theorem ONLY for right triangles: a^2+b^2=c^2
If a^2=58 and b^2=10
Then 58+10 does not equal 64
The given triangle is not a right-angle triangle as the sides don't form a Pythagorean triplet.
What is the Pythagoras theorem?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the le right triangle is equal to the square on the hypotenuse (the Pythagoras the right angle)—or, in familiar algebraic notation, a² + b² = c².
Given her: Three squares whose sides form one Pythagoreans of a triangle .
Now a²=58
b²=10
b=√10
c²=64
c=8
Clearly √10<√58<8
Thus c must be the hypotenuse of the triangle.
Using Pythagoras' theorem we get
√10²+√58²=68≠64
Hence, The given triangle is not a right angle triangle as the sides don't form a Pythagorean triplet.
Learn more about the Pythagoras theorem here:
https://brainly.com/question/343682
#SPJ2
Related Questions
A 200-liter tank initially full of water develops a leak at the bottom. Given that 20% of the water leaks out in the first 5 minutes, find the amount of water left in the tank 10 minutes after the leak develops if the water drains off at a rate that is proportional to the amount of water present.
Answers
Answer:
127.53 liters left after 10 minutes
Step-by-step explanation:
Let
[tex]A \to Amount[/tex]
[tex]t \to time[/tex]
Given
[tex]A(0) = 200[/tex] --- initial
[tex]A(5) = 200 * (1 - 20\%) = 160[/tex] --- the amount left, after 5 minutes
Required
[tex]A(10)[/tex] --- amount left after 5 minutes
To do this, we make use of:
[tex]A(t) = A(0) * e^{kt}[/tex]
[tex]A(5) = 160[/tex] implies that:
[tex]160 = 200 * e^{k*5}[/tex]
Divide both sides by 200
[tex]0.80 = e^{k*5}[/tex]
Take natural logarithm of both sides
[tex]\ln(0.80) = \ln(e^{k*5})[/tex]
[tex]\ln(0.80) = \ln(e^{5k})[/tex]
[tex]\ln(0.80) = 5k\ln(e)[/tex]
So, we have:
[tex]-0.223 = 5k[/tex]
Divide by 5
[tex]k = -0.045[/tex]
So, the function is:
[tex]A(t) = A(0) * e^{kt}[/tex]
[tex]A(t) = 200 * e^{-0.045t}[/tex]
The amount after 10 minutes is:
[tex]A(10) = 200 * e^{-0.045*10}[/tex]
[tex]A(10) = 200 * e^{-0.45}[/tex]
[tex]A(10) = 127.53[/tex]
What is the length of sides of the square shown below? 45 2 90 A. 2sqrt(2) B. 4sqrt(2) C. 1 OD. sqrt(2) E. 4 F. 2
Answers
Answer:
Uh oh! It looks like your question is missing some crucial information.Step-by-step explanation:
There is no " square shown below"
Which is the better value for money 250g of coffee R12,35 or 450g of the same coffee at R21,95
Answers
Answer:
450g coffee or 21.95$ coffee
Step-by-step explanation:
again, divide whichever pair you want to and you still have the same answer whether it is less or more: 450/250 is math would be 9/5 and 21.95/12.35 is 1.77732793522. so if we find the true value of 9/5, which is 1.8, and since it is more that the original price that means the more coffe you get, the cheaper it gets (basically all of life is like this), so the 450 g coffee is worth alot less than and is bigger than the 250 g coffee
A 6-digit PIN number is selected. What it the probability that there are no repeated digits?
The probability that no numbers are repeated is
Write your answer in decimal form, rounded to the nearest thousandth.
Submit Question
Answers
Answer: 0.1512
So I know that there are 10 possible digits that can be selected, each time the pool of selected digits gets smaller.
The first digit cannot be zero therefore there are 9 possibilities for this digit. Then, seeing as the order doesn't matter, but repeats do, so I thought a permutation would be the correct method to apply.
9 * ((9!)/(9-5!)) = 136,080 (<-- total number of 6 digit numbers)
Without repeats and no 0 as first digit
Total number of 6 digit numbers = 10^6
Therefore the probability of this scenario happening is:
(139,080/10000000) = 0.13608
Answer:
we got 10 digits to choose from for the first digit, 9 for the second and so on
[tex]10 \times 9 \times 8 \times 7 \times 6 \times 5[/tex]
scenarios that got no repeated digits.
the total number of possible PINs with 6 digits is
[tex]10 \times 10 \times 10 \times 10 \times 10 \times 10[/tex]
or just 10⁶
so the fraction we are looking for is the number of valid states decided by all possible states.
[tex] \frac{10 \times 9 \times 8 \times 7 \times 6 \times 5}{ {10}^{6} } [/tex]
=0.1512
rounded to the nearest thousandth it's
0.151
(actually, I didn't expect the probability to be around 15 percent)
hope it helps. asked question whenever you like
kind regards
Alex
Answer this question for points
Answers
Answer:
kjhgfdcxcfvghj
Step-by-step explanation:
PLZ Help
what is the surface area of this cylinder
Answers
Answer:
188.5)
Step-by-step explanation:
2 x 3.14 x 4 x 3.5 + 2 x 3.14 x 4 x 2
=2πrh+2πr2
Note:
Pls notify me if my answer is correct for the other users that will see this response.
-kiniwih426
Determine the distance between points (x1, y1) and point (x2, y2), and assign the result to point Distance. The calculation is:
Answers
Given:
The two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
To find:
The distance between given points.
Solution:
Plot the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] randomly randomly on a coordinate plane, then form a right angle triangle as shown in the below figure.
Now, the hypotenuse is the distance between the two points.
[tex]\text{Perpendicular}=y_2-y_1[/tex]
[tex]\text{Base}=x_2-x_1[/tex]
Using Pythagoras theorem,
[tex]\text{Hypotenuse}^2=\text{Base}^2+\text{Perpendicular}^2[/tex]
[tex]d^2=(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Taking square root on both sides, we get
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] [Distance is always positive]
Therefore, the distance between the two points is [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. It is also known as distance formula.
if f(x)=x+2 and g(x)=3x^2+7x find (f x g)(x)
Answers
Answer:
3x³ + 13x² + 14x
Step-by-step explanation:
(f × g)(x)
= f(x) × g(x)
= (x + 2)(3x² + 7x)
= x(3x² + 7x) + 2(3x² + 7x) ← distribute parenthesis
= 3x³ + 7x² + 6x² + 14x ← collect like terms
= 3x³ + 13x² + 14x
SIX is a right triangle with the measure of X = 60° and the measure of I = 90° IF IX = 5. find the length of SX
Answers
Answer:
10
Step-by-step explanation:
Given the following
<X = 60°
I = 90°
IX = 5(Adjacent)
Required
SX (HYPOTENUSE
According to SOH CAH TOA
Cos theta = adj/hyp
Cos 60 = 5/SX
SX = 5/cos 60
SX = 5/(1/2).
SX =5×2
SX = 10
A man leaves the town of Elmsville at 8:00 am and drives to Oak City at a constant rate of 50 miles per hour. Two hours later, a woman leaves Elmsville following the same route to Oak City. The man and woman arrive in Oak City at 3:00 p.m. What was the rate of the woman
Answers
Answer: 70 mph
Step-by-step explanation:
Given
A man leaves the town of Elmsville at 8:00 am and reach oak city at 3 Pm
Rate of driving is 50 miles per hour
time taken by man [tex]t=7\ hr[/tex]
Woman leaves 2 hour later and reach by 3 Pm, so time taken is [tex]5\ hr[/tex]
Distance traveled by both the person is same
[tex]\therefore 50\times 7=v\times 5\quad[v=\text{rate of woman}]\\\\\Rightarrow v=\dfrac{50\times 7}{5}\\\\\Rightarrow v=70\ mph[/tex]
Thus , the rate of woman is 70 miles per hour.
4)
5 + 15x
42x + 4
-
A) -2
C) -10
B) 3
D) -8
Answers
Answer:
answer is --10 pls make me brainlest
Kareem's rectangular flower bed measures 3ft long and 2ft wide. He wants to cover the flower bed in mulch. He knows the area each bag of mulch covers, but only in square centimeters
Answers
Hey buddy I am here to help!
Area of flower bed = 3 x 2 = 6ft
1 ft = 30.48cm
6 x 30.48 = 182.88cm2
Can someone help me?
Answers
Answer:
The slope is 2
Step-by-step explanation:
Slope formula:
m=(y2-y1)/(x2-x1)
Given:
y2 = -10
y1 = -6
x2 = 2
x1 = 4
Work:
m=(y2-y1)/(x2-x1)
m=(-10 + 6)/(2 - 4)
m= (-4)/(-2)
m = 2
A small country had a population of 7.1 x 10° in 1990. Since then, the original population has doubled, and an additional 7.7 x 1010 people have immigrated into the country. What is the population of the country now? The population is A x 10 where
Answers
Answer:
[tex]21.9 * 10^{10}[/tex] Population of the Country Now .
Step-by-step explanation:
According to the Question,
Given, A small country had a population of [tex]7.1 * 10^{10}[/tex] in 1990. Since then, the original population has doubled Thus The Population as of Now is [tex]2*7.1 * 10^{10} =[/tex] [tex]14.2 * 10^{10}[/tex] And [tex]7.7 * 10^{10}[/tex] people have immigrated into the country Thus, The New Population of the Country is [tex]14.2 * 10^{10} + 7.7 * 10^{10} =[/tex] [tex]21.9 * 10^{10}[/tex] .Adriana sold 50 shares of a company’s stock through a broker. The price per share on that day was $22.98. The broker charged her a 0.75% commission. What was Adriana’s real return after deducting the broker’s commission?
A.
$8.62
B.
$229.80
C.
$1,140.38
D.
$1,149.00
Answers
C $1,140.38
Step-by-step explanation:
We are given that Adriana sold 50 shares and that the price per share was $22.98
This means that:
Total value = 50 * 22.98 = $1149
Now, we know that the broker charged 0.75% commission on the total value
This means that:
Broker's charge = 0.75% * 1149 = 0.0075 * 1149 = $8.6175
Therefore,
Adriana's return = Total value - broker's charge
Adriana's return = 1149 – 8.6175 = $1,140.38
if someone can explain this it would really help.
Answers
Answer:
6
Step-by-step explanation:
KL = 26-(11+9) = 26-20 =6
Answer:
KL is 6
Step-by-step explanation:
IL is 26, IJ = 9 JK= 11
IL= IJ + JK + KL
26= 9 + 11 + KL
Rearrange
KL= 9 + 11 - 26
= 6
f(x+k) what is the value of k
Answers
Answer:
k = -3
Hope this helps!
Answer:
Step-by-step explanation:
f(x+k) is a horizontal shift of -k units.
Since the vertex went from 1 to -2, k = 3.
HPC Education
Year 5* 6 Problem Solving Questions
10. Megan and Olivia had some money. They made a donation of $100 together. Megan donated of
her money. After donating $24, Olivia found that she had $32 more than Megan. What was the
sum of money both of them had at first
Answers
Will mark brainlest!
formula of (x+1)cube
Answers
Answer:
(x+1)^3=x^3+3x^2+3x+1
Answer:
[tex](x+1)^{3} = x^{3} + 3x^{2} +3x+1[/tex]
Step-by-step explanation:
[tex](x+1)^{3} = x^{3} + 3x^{2} +3x+1[/tex]
[tex](A+B)^{3} = A^{3} + 3A^{2}B+3AB^{2} + B^{3}[/tex]
Please answer this I am to lazy to think right now
Answers
QUESTION:- WHICH FRACTION IS THE RECIPROCAL OF [tex] \frac{4}{3}[/tex]
[tex]RECIPROCAL = \frac{3}{4} [/tex]
Type the correct answer in each box. Use numerals instead of words.
Consider function h.
Answers
Answer:
33
Step-by-step explanation:
What is 9x + 5= 32 described as
Answers
Answer:
9x + 5= 32
9x=27
x=3
Question 7
Find the volume.
Answers
Answer:
A: 686π≈2,156
Step-by-step explanation:
First, you need to find the area of the circle then times that by 14.
π[tex]r^{2}[/tex] Formula for the area of a circle
π[tex]7^{2}[/tex] r stands for radius, so you divide the diameter by 2 and get 7.
π49 This is the area of the circle
π49×14 Now multiply by 14
=686π This is your answer.
=2155.13256 When you times it by pi this is what you get
=2156 This is your answer if you want it rounded up
resuelve la siguiente ecuación
x2+40=100
Answers
pregunta:x2+40=100
resultado:x=30
Step-by-step explanation:
the anwer is x=30......
Due today.. I'm Stuck and need help please). The table shows the test scores and the sleep averages of several students. A) Write the least squares regression equation that models the data. Let x = the test score and y = average sleep. B) Use the equation to determine the approximate test score of a student who sleeps an average of 8 hours a night. Show Your Work. ( Will Mark Brainliest but no Links or nonsense answers please). Answer A and Answer B.
Answers
Answer:
Y = -0.3587+0.09118X
92 %
Step-by-step explanation:
Using technology to fit the data between the variables, test score and hours of sleep; we obtain the linear model :
Ŷ = -0.3587+0.09118X
Where, x = test score ; y = hours of sleep
To obtain the test score of a student who sleep foe 8 hours using the model :
Y = 8
Ŷ = -0.3587+0.09118X
8 = -0.3587+0.09118X
8 + 0.3587 =0.09118X
8.3587 = 0.09118X
X = 8.3587 / 0.09118
X = 91.672515
X = 92 ( approximately)
Find the surface area of the
prism.
Answers
Answer:
D. 464 ft²
Step-by-step explanation:
Area of trapezoidal prism = h(b + d) + l(a + b + c + d)
Where,
h = 4 ft
a = 5 ft
b = 6 ft
c = 5 ft
d = 12 ft
l = 14 ft
Plug in the values into the formula
Area of trapezoidal prism = 4(6 + 12) + 14(5 + 6 + 5 + 12)
= 4(18) + 14(28)
= 72 + 392
= 464 ft²
Please help!!☺️☺️
Will mark brainilest!!
Answers
Answer:
C
Step-by-step explanation:
The graph of the absolute value function y = | x | has its vertex at the origin and has the shape V
The graph here is the absolute value translated vertically 3 units down, so
y = | x | - 3 → C
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]c) |x| - 3[/tex]
»»————- ★ ————-««
Here’s why:
The graph given is an absolute value function. This eliminates options A and B, since they are not absolute value functions. The graph shows the parent function of f(x) = |x| that is shifted 3 units down. This can be written as f(x) = |x| - 3.⸻⸻⸻⸻
Option C should be the correct answer.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.
Answers
Answer:
B. 489.8 ft²
Step-by-step explanation:
Lateral surface of the cylinder = 2πrh
Where,
radius (r) = 6 ft
height (h) = 13 ft
Let π = 3.14
Plug in the values into the formula
Lateral surface of the cylinder = 2*3.14*6*13
Lateral surface of the cylinder = 489.8 ft²
What is the perimeter of this rectangle?
Answers
Answer:
I think I would be option C. for your question
Thank you......
Have a good day......
A roundabout is a one-way circular intersection.
About how many feet would a car travel if it drove
once around the roundabout? Round to the
nearest foot.
Answers
Answer:
[tex]471\:\mathrm{ft}[/tex]
Step-by-step explanation:
In one full rotation around the roundabout, the car is travelling a distance equal to the circumference, or the perimeter, of the circle. The circumference of a circle with radius [tex]r[/tex] is given by [tex]C=2r\pi[/tex]. In the diagram, the diameter is labelled 150 feet. By definition, the radius of a circle is exactly half of the diameter of the circle. Therefore, the radius must be [tex]\frac{150}{2}=75[/tex] feet. Thus, the car would travel [tex]2\cdot 75\cdot \pi=471.238898038=\boxed{471\:\mathrm{ft}}[/tex]