Answer: C.) If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.
Step-by-step explanation: i hope this helps! :)
The correct statement is (C)
What is Pythagoras theorem?The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.
The Pythagoras theorem equation is expressed as, c2 = a2 + b2, where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs. Hence, any triangle with one angle equal to 90 degrees produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.
example:
The hypotenuse of a right-angled triangle is 16 units and one of the sides of the triangle is 8 units. Find the measure of the third side using the Pythagoras theorem formula.
Given : Hypotenuse = 16 units
Let us consider the given side of a triangle as the perpendicular height = 8 units
On substituting the given dimensions to the Pythagoras theorem formula
Hypotenuse2 = Base2 + Height2
162 = B2 + 82
B2 = 256 - 64
B = √192 = 13.856 units
So, Using the definition of Pythagoras theorem
the statement would be
If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.
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Please help me on this.
Answer:
D
Step-by-step explanation:
Simplify 1/4^-2 x 1/4^-7
9. Find the volume of the sphere if the radius is 12.4 in. Round to the nearest tenth.
Answer:
V=7982.4 in
Step-by-step explanation:
V=4/3pi*r^3
V=4/3pi*12.4^3
V=4/3pi*1906.62
V=7626.48/3pi
V=2542.16pi
V=2542.16*3.14
V=7982.4
What is the angle of X
Answer:
∡x°=35°
Step-by-step explanation:
x° and 35° are vertical angles, so they are congruent to each other. Therefore, the measure of angle x° is also 35°
How many solutions exist for the system of equations below?
Answer Choices:
none
one
two
infinitely many
Answer:
None
Step-by-step explanation:
No solutions exist for the system of equations because the system is illogical: 3x+y=3x+y, but 18≠16.
What is the value of 1 − ( 2 − ( 3 − ( 4 − 5 ) ) ) 1 − ( 2 − ( 3 − ( 4 − 5 ) ) )
Answer:
51
1−2+3−4+5−.....+101
=(1+3+5+.....+101)−(2+4+6+.....+100)
=(1+3+5+.....+101)−2(1+2+3+.....+50)
=(51)
2
−2(
2
50(50+1)
)
=2601−2×1275
=2601−2550
=51
Acone has a volume of 967 cubic feet. If the radius is 6
feet, what is the height of the cone?
Answer:
25.65
Step-by-step explanation:
Find the slope of the line that passes through each pair of points. S[22, 22), T(3, -11)
Answer:
33/19
Step-by-step explanation:
slope = [tex](-11-22)/(3-22) = -33/-19 = 33/19[/tex]
Find the circumferences of both circles to the nearest tenth.
Two circles lying one inside the other. The inner circle is shaded orange and the outer circle is shaded blue. The radius of the inner circle is labeled 5 centimeters. The distance between the outer and the inner circle is circle is labeled 5 centimeters.
The circumference of the blue circle is about
cm.
The circumference of the orange circle is about
cm
Answer:
The circumference of the blue circle is about
62.8 cm.
The circumference of the orange circle is about
31.4 cm.
Step-by-step explanation:
First the blue circle, it shows that there are 5 cm on the outside of the orange circle so the would be 5+5=10, then you add the orange circle to the 10 cm, that would give you 20 cm. Then you multiply 20 cm by pi (3.14) which will give you your answer 62.8. Do the same thing for the orange circle, 5+5=10 so 10 multiplied by pi (3.14) is 31.4
bye bestie
An engineer traveled 125 mi by car and then an additional 675 mi by plane. The rate of the plane was three times the rate of the car. The total trip took 7 h. Find the rate of the car.
Answer:
The speed of the car is 50 mph.
The speed of the plane is 150 mph.
Driving time = 185/50 = 3.7 hours
Flying time = 645/150 = 4.3 hours
Step-by-step explanation:
R be the speed of the car.
t is the driving time.
185 = R* t
645 = (3R)*(8-t) <--- the plane is 3 times as fast; the total time is 8 hours, so 8-t hours is spent flying
645 = 24R - 3rt <--- distributive
645 = 24R - 3(185) <--- substitutes rt = 185
645 = 24R - 555
1200 = 24R
R = 50
11x + x helppp plzzz
An online music store sells songs on its website. each song is the same price. The cost to purchase 8 songs is $10.
A. Create an equation to represent the relationship between the total cost, c, and the number of songs, s, purchased.
B. At this rate, how many songs can be purchased for $25
Answer 8 divide by 10 =0.8
0.8x 25=20
Step-by-step explanation: i hope this helps
The equation for the total cost, c, in terms of the number of songs, s, purchased is c = 1.25s and $25 can purchase 20 songs.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let x be the price of each song.
The cost to purchase 8 songs is given as $10, so we can write the equation:
8x = 10
To find the equation for the relationship between the total cost, c, and the number of songs, s, purchased, we can solve for x:
8x = 10
x = 10/8
x = 1.25
So the price of each song is $1.25, and the equation for the total cost, c, in terms of the number of songs, s, purchased is:
c = 1.25s
To find how many songs can be purchased for $25, we can use the equation:
c = 1.25s
Substitute c = $25, and solve for s:
25 = 1.25s
s = 25/1.25
s = 20
Therefore, at this rate, $25 can purchase 20 songs.
Hence, the equation for the total cost, c, in terms of the number of songs, s, purchased is c = 1.25s and $25 can purchase 20 songs.
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Help please and thank you if you do all of them I will mark you as Brainliest
rounded to tens: 30,190, 5,010 and 20
rounded to tenths: 62.6, 1.1, 0.0, and 270.6
rounded to hundredths: 0.12, and 98.51
whats the oposite if -5 ?
When 1 is added to one-half of number x, the result is 3. What is the value of x?
A) 1
B) 3
C) 4
D) 6
E) 8
And why?
Answer:
C) 4
Step-by-step explanation:
1 + x/2 = 3
x/2 = 2
x = 4
The value of x is 4.
Start with 4. Half of 4 is 2. Add 1. You get 3. 4 makes the problem work, so 4 is the answer.
Answer: C) 4
4x + 10= 22 find the value of x
Answer:
x=3
Step-by-step explanation:
Huiling bought 18 chicken nuggets.
She ate 6 of them.
What fraction of the chicken nuggets did she eat?
Give your answer in its simplest form.
Answer:
2/3
Step-by-step explanation:
I think that's the answer.
Solve by elimination 4x - 4y = 8 -9x + 8y = -16
What is the equation of a line with a y-intercept at (0, 2) and a slope of 3?
a. y = 2x + 3
C. y = 3x + 2
b. y = 3x - 2
d. y = -2x + 3
Answer:
answer is C
the slope is 3 and the intercept is (0,2) which is 2
What will be the coordinates of the point K' if the point K(-5,4) is translated 3 units down?
Answer:
(-5,1)
Step-by-step explanation:
Because if you graph the point and move it 3 units down then that is your awnser.
If one loaf of bread requires 450g of flour determine the maximum number of loaves of bread that can be baked from 12,5kg of flour
Helping a friend E e e e e
Answer:sorry that’s math not art
Step-by-step explanation: math is not art therefore I can’t help u
Duncan ran 26.2 miles in 4 hours 10 minutes. At this rate, rounded to the nearest tenth, how long did it take Duncan to run each mile?
Answer:
Time taken for cover 1 miles = 0.16 hour (Approx.)
Step-by-step explanation:
Given:
Total distance cover by Duncan = 26.2 miles
Time taken by Duncan = 4 hours 10 minutes
Find:
Time taken for cover 1 miles
Computation:
Time taken by Duncan = 4 hours 10 minutes
Time taken by Duncan = 4 + 0.167 hour
Time taken by Duncan = 4.167 hour
Speed = Distance / Time
Speed = 26.2 / 4.167
Speed = 6.28 miles/hour (Approx.)
So,
Time taken for cover 1 miles = 1/6.28
Time taken for cover 1 miles = 0.16 hour (Approx.)
suppose a normal distribution has a mean of 79 and a standard deviation of 7. What is P(x > or = 93)?
The value of P(X ≥ 93) when X pertains a normal distribution with mean of 79 and standard deviation of 7 is 0.0228
How to get the z scores?If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.
If we have
[tex]X \sim N(\mu, \sigma)[/tex]
(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex])
then it can be converted to standard normal distribution as
[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]
(Know the fact that in continuous distribution, probability of a single point is 0, so we can write
[tex]P(Z \leq z) = P(Z < z) )[/tex]
Also, know that if we look for Z = z in z tables, the p value we get is
[tex]P(Z \leq z) = \rm p \: value[/tex]
For this case, we're specified that:
X pertains a normal distribution with mean of 79 and standard deviation of 7, symbolically, we have:
[tex]X \sim N(\mu = 79, \sigma = 7)[/tex]
The needed probability is P(X ≥ 93)
Converting X to standard normal variate makes us evaluate this probabiilty as:
[tex]Z = \dfrac{X -\mu}{\sigma} \sim N(0,1)\\\\P(X \geq 93) = 1 - P(X < 93)\\\\P(X \geq 93) = 1 - P\left (Z < \dfrac{93-79}{7}\right)\\\\P(X \geq 93) = 1 - P(Z < 2)[/tex]
The p-value for Z = 2 (from the z-tables) is found to be 0.9772
Thus, we get:
[tex]P(X \geq 93) =1 - P(Z < 2) = 1 - P(Z \leq 2) = 1 - 0.9772\\P(X \geq 93) = 0.0228[/tex]
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HELPPPPPPP PLEASE AND BRAINLY STOP ASKING ME TO WRITE MORE IM IN URGENCY
Answer: 1,431
Step-by-step explanation:
split the thing into two rectangular prisms
small prism dimensions: 18 x 2 x 3
multiply the dimensions to get 108
large prism dimensions: 7 x 21 x 9
multiply the dimensions to get 1,323
add 1,323 and 108 together to get 1,431
Find 50% of 108:
Find 25% of 108:
Find 75% of 108:
Answer:
50% of 108: 54
25% of 108: 27
75% of 108: 81
Step-by-step explanation:
Hope this helps have a nice day
Answer:
50% : 54
25% : 27
75% : 81
Step-by-step explanation:
If you multiply by the decimal version of the precentages, you will get the remaining amount of how much it is. so to find 50% of 108, you do 108 * 0.50 and it will give you the 50% of 108.
f(16) – f(0) when f (x) = 4x – 8?
Pls help 20 points !
Answer:
the answer is 168 is the answer
Aria recorded her daily lemonade stand profit during one week. Which data representation would you use to show her profit over the week? Explain how you would draw it and what you would expect to see
Answer:
Step-by-step explanation:
a line graph would show the data over time.I would plot the days along the horizontal axis and each daily profit at points on the vertical axis.I would connect the points with lines.If her profit increasing each day, I would expect the line height to increase over time.
Answer:
There is already another answer:
line graph or bar graph because it shows you what day of the week you sell more lemonade.
Step-by-step explanation:
HELPPP!!!! Due today
The volume of a prism is 18 cubic inches. What is the
volume of a pyramid with the same base and height?
Answer:
1944
Step-by-step explanation:
I used the pyramid formula and used 18 as the bases and heights since it’s a perfect triangular pyramid.