Answers
Answer:
He should have done 8^2 + 15^2= x^2 because the hypotenuse is always the longest side and in Pythagorean theorem C represents the longest side
[tex] {x}^{2} = {(8)}^{2} + {(15)}^{2} [/tex]
[tex] {x}^{2} = 64 + 225[/tex]
[tex] {x}^{2} = 289[/tex]
[tex]x = \sqrt{289} [/tex]
[tex]x = 17[/tex]
Related Questions
Hello. Please help if you can.
Answers
-7 = 2x - 7
A. 0
B. 4
C. Infinite Solutions
D. No solutions
Answers
Answer:
A
Step-by-step explanation:
the variable is how many times the two will be multiplied, so 2 times 0 equals 0, there by making the problem. -7= - 7
Answer:
that will be A. 0
Step-by-step explanation:
first, i flip the equation
2x - 7= -7
next, i add both side by 7
2x−7+7=−7+7
2x=0
and finally, you divided by 2
2x/2 = 0/2
you get x = 0
Please help me, I’m struggling
Answers
Answer:
28[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
[tex]\sqrt{96}[/tex]
= [tex]\sqrt{16(6)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{6}[/tex]
= 4[tex]\sqrt{6}[/tex]
Then
7[tex]\sqrt{96}[/tex]
= 7 × 4[tex]\sqrt{6}[/tex]
= 28[tex]\sqrt{6}[/tex]
(a) what is the effect on the period of a pendulum if you double its length?
Answers
If we double the length of the pendulum, the period of the pendulum will be approximately 1.4 times longer than it was before. This relationship between the length and period of a pendulum is very important, as it allows us to calculate the length of a pendulum needed to produce a desired period. This relationship is also used in many applications, such as clocks and metronomes.
The period of a pendulum is the time it takes to swing back and forth through one complete cycle. The period of a pendulum is affected by the length of the pendulum, the acceleration due to gravity, and the amplitude of the swing. If the length of a pendulum is doubled, the period of the pendulum will also double. The reason for this is that the period of a pendulum is directly proportional to the square root of its length.
This means that if the length of the pendulum is increased by a factor of 2, the period of the pendulum will increase by a factor of sqrt(2).
Mathematically, this can be expressed as: T = 2π * sqrt(L/g).
Where T is the period of the pendulum, L is the length of the pendulum, and g is the acceleration due to gravity.
If we double the length of the pendulum (L), the equation becomes T = 2π * sqrt(2L/g).
Taking the ratio of the new period to the original period, we get: T_new/T_old = sqrt(2).
Therefore if we double the length of the pendulum, the period of the pendulum will be approximately 1.4 times longer than it was before. This relationship between the length and period of a pendulum is very important, as it allows us to calculate the length of a pendulum needed to produce a desired period. This relationship is also used in many applications, such as clocks and metronomes.
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When rolling a die, calculate the probability as a fraction of rolling a 3. The probability is
Answers
Answer:
1/6
Step-by-step explanation:
there is only one side in which there is 3 out of total six sides so 1/6
complete the proof given: AB x BE =CB x BD prove: triangle ABC triangle DBE
Answers
The complete proofs with all the reasons and statements; have been enumerated below
Triangle Proofs
The image showing the given triangle is missing and so i have attached it.
From the attached image, we can deduce that;
Statement 1; AB * BE = CB * BD
Reason 1; Given
Statement 2; CB/BE = AB/BD
Reason 2; Property of Cross Multiplication
Statement 3; ∠ABC ≅ ∠DBE
Reason 3; Vertical Angles
Statement 4; ΔABC ~ ΔDBE
Reason 4; SAS property of similarity
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What is the factored form of the expressions 4x2 - 25?
Answers
Answer:
Explanation: Realize that 4x2−25 is a difference of squares. Differences of squares, such as a2−b2 , can be factored into (a+b)(a−b) . Since 4x2=(2x)2 and 25=(5)2 , we can say that 4x2−25=(2x+5)(2x−5)
Step-by-step explanation:
Answer:
(2x + 5)(2x - 5)
Step-by-step explanation:
a² - b² = (a + b)(a - b)
4x² = 2²x²= (2x)²
25= 5* 5 = 5²
4x² - 25 = (2x)² - 5² {a= 2x ; b = 5}
= (2x + 5)(2x - 5)
Find the inverse Laplace transform of f(t) = (Use step(t-c) for uc(t).) F(s) = 8² -98 e 2s - 15
Answers
The inverse Laplace transform of f(t) is given by f(t) = t - 98δ(t - 2) - 15.
To find the inverse Laplace transform of F(s) = 8s^2 - 98e^(2s) - 15, we can use the linearity property and the table of Laplace transforms. Let's break down the expression into three terms.
The inverse Laplace transform of 8s^2 is obtained by looking up the corresponding entry in the table of Laplace transforms. From the table, we find that the inverse transform of s^2 is t.
The inverse Laplace transform of -98e^(2s) can also be found in the table. The entry for e^(as) is δ(t - a), where δ(t) represents the Dirac delta function. Therefore, the inverse transform of -98e^(2s) is -98δ(t - 2).
Lastly, the inverse Laplace transform of -15 is simply -15.
By applying the linearity property, we can add up the individual inverse transforms:
Inverse Laplace transform of F(s) = t - 98δ(t - 2) - 15.
Therefore, the inverse Laplace transform of f(t) is given by f(t) = t - 98δ(t - 2) - 15.
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800 jerseys 6 medium jerseys what percent of the jerseys is medium?
Answers
The percent of the jerseys :
6 : 800 = 0,75%
If money in a savings account earned 8% interest per annum, how much nterest would be earned on $150.00 over three years?
Answers
Answer:
$36
Step-by-step explanation:
Given :
Interest rate, r = 8% = 0.08
Principal, P = 150
Time, t = 3 years
Simple interest = (principal * rate * time)
Simple interest = (150 * 0.08 * 3)
Simple interest = $36
Which of the following functions are of exponential order c? Find c, if the answer is yes. (a) y(t) = 5t? + 24 +1. (b) y(t) = sin(31) (c) y(t) = 42 y(t) = 93 (e) y(t) 12 if t = 3 gift 3 (1) y(t) = coste
Answers
(a) Not of exponential order.
(b) Not of exponential order.
(c) Exponential order with c = 2.
(d) Not of exponential order.
(e) Not of exponential order.
To determine if a function is of exponential order, we need to check if there exist positive constants M and c such that |y(t)| ≤ M[tex]e^{ct}[/tex] for all t ≥ t₀, where t0 is some starting point.
Let's analyze each function:
(a) y(t) = 5t² + 24 + 1
This function is not of exponential order since it contains a quadratic term (t²) and does not satisfy the exponential order condition.
(b) y(t) = sin(3t)
The sine function is periodic and oscillates between -1 and 1. It is not bounded by an exponential function. Therefore, it is not of exponential order.
(c) y(t) = 4[tex]e^{2t}[/tex]
The exponential function [tex]e^{2t}[/tex] grows exponentially as t increases. The constant multiplier 4 does not affect the exponential growth. Therefore, this function is of exponential order with c = 2.
(d) y(t) = [tex]e^{t^{2} }[/tex]
The exponent t² grows faster than any exponential function with a constant base. Therefore, this function is not of exponential order.
(e) y(t) = cost [tex]e^{3t}[/tex]
The exponential function [tex]e^{3t}[/tex] grows exponentially as t increases. However, the cosine function oscillates between -1 and 1, which prevents the overall function from being bounded by an exponential function. Therefore, it is not of exponential order.
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Just find the figure of the rectangle plss
Answers
Answer:
x= 21
y= 3
z= 21
Step-by-step explanation:
Let the center be O,
=> Triangle AOD is an Isosceles triangle so AO≅DO, "21 = x"
=> Line AC is divided in two equal parts by the center so if AO= 21 then
7y = 21, and thus "y = 3"
=> BOC is also an Isosceles triangle so CO ≅ BO, if CO = 21 (7y → 7*3) then so will be BO. Therefore "z = 21"
Nia increased her class average by 3%. She now has a 92% in her math class.
Answers
Nia's original class average was 89%. After increasing it by 3%, she now has a 92% in her math class.
1. Let's assume Nia's original class average was X.
2. She increased her class average by 3%, which can be represented as X + (3/100)X.
3. According to the question, X + (3/100)X = 92.
4. Simplifying the equation, we have (103/100)X = 92.
5. To find X, we divide both sides of the equation by (103/100): X = (92 * 100) / 103.
6. Calculating the value, X ≈ 89.32.
7. Therefore, Nia's original class average was approximately 89.32%.
8. After increasing it by 3%, her new class average is 89.32% + (3/100) * 89.32% ≈ 92%.
Note: The values have been rounded for simplicity.
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Evaluate the work done between point 1 and point 2 for the conservative field F.
F = 6x i + 6y j + 6z k; P 1(4, 3, 5) , P 2(5, 6, 7)
a)W = - 180
b)W = 480
c)W = 0
d)W = 180
Answers
The correct answer is option (c) W = 0.
Given information :F = 6xi + 6yj + 6zk; P1(4, 3, 5), P2(5, 6, 7)The formula for work done by the conservative force is given by: W = U(P2) - U(P1)Where U(P) is the potential energy at point P. The force is conservative. Hence, work done is independent of path and is equal to the difference in potential energy between points 1 and 2.To find the potential energy U at any point, we use the formula: U(x, y, z) = - ∫F.dr where F is the force, and dr is the infinitesimal displacement vector.
To find the potential difference between two points, we integrate the formula: W = - ∫F.dr over a path between those two points, P1 and P2.Now we will find the potential energy at points 1 and 2.∴U(P1) = -∫F.drbetween the limits (4,3,5) and (5,6,7)Let us take the path from P1 to P2 along the straight line. Then the position vector of the path is:r = (5 - 4) i + (6 - 3) j + (7 - 5) k = i + 3j + 2k.dr = dx i + dy j + dz k= i dx + j dy + k dz = i dt + 3j dt + 2k dt = (i + 3j + 2k) dt∴∫F.dr= ∫6x i . (i + 3j + 2k) dt + ∫6y j . (i + 3j + 2k) dt + ∫6z k . (i + 3j + 2k) dt= ∫6x dt + 3 * 6y dt + 2 * 6z dt= (6x + 18y + 12z) |_P1^P2= (6 * 5 + 18 * 6 + 12 * 7) - (6 * 4 + 18 * 3 + 12 * 5)= 30 + 108 + 84 - 24 - 54 - 60= 84Thus, U(P2) - U(P1) = 0 - 84 = -84. Hence, work done = -(-84) = 84Option (d) W = 180 is incorrect as the value of work done is 84.
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Find the inverse of this function. Show your steps.
Hi, so, I'm like halfway done, but can you show me the steps to get to the inverse of this function, please? Also, is was what I have so far correct?
Thanks so much if you help!
Answers
Answer:
1cesrutherford and Global business is the next 3.some 7th round and 50th 3 7th round ♥ in my car is a
Convert the time. Enter your answers in the boxes.
324 minutes =
hours,
minutes
Answers
Answer:
5 hours and 24 minutes
Step-by-step explanation:
sorry if im wrong
Answer:
5.4 hours
Step-by-step explanation:
I'm not 100 percent sure
hope this helped ;)
I need help with this math promblem will anybody help me
Answers
Answer:
d = 83
Step-by-step explanation:
Answer:
d=83°
Step-by-step explanation:
the sum of the inner angles is equal to 360°
so
127+67+d+d=360
194+2d=360
2d=166
d=83°
help me with the whole problem plssss i do anything plss.
Answers
Answer:
8 people can go
Step-by-step explanation:
HELP PLEASEE
I’m stuck
Answers
Answer:
:-):-)
Step-by-step explanation:
1) p<1000
2)p>500
3)By combining the above two, we get: 500<p<1000
Andre will agree as he thinks that the no. of paper clips in the box is less than 1000. But lin will not as she thinks that the no. of clips is more than 500.
4)This time, they both will agree as the no. of paper clips is more than 500 but less than 1000.
So that means, the answer is p < 1000
For number 2, it’s asking for the same thing. Lin says that it needs to be more than 500.
So that means, the answer is p > 500
For number 3, it’s just asking you if the number “487” is reasonable. You find that by plugging in the number 487 into “p”.
Is 487 < 1000 correct? Yes!
Is 487 > 500 correct? NO!
So that means for number three, you should put, “Lin and Andre would not agree. This is because the number 487 fits with Andre’s statement, but it does not fit with Lin’s. 487 is less than 1000, but it is not greater than 500.”
For number 4, you do the same thing. Plug in 742 into “p”.
Is 742 < 1000? Yes!
Is 742 > 1000? Yes!
So that means for number 4, you should put, “Lin and Andre would agree. This is because the number 742 fits with Andre’s and Lin’s statement. 742 is less than 1000, and it is greater than 500.”
Let y+3=xy-6x². Use implicit differentiation to find y' or dy dx
Answers
the derivative of y with respect to x, or dy/dx, for the given equation is y' = (y - 12x) / (1 - x).
We start by differentiating both sides of the equation with respect to x.
For the left-hand side, the derivative of y + 3 with respect to x is simply dy/dx, or y'.
For the right-hand side, we need to apply the product and chain rules.
Differentiating xy with respect to x gives us x(dy/dx) + y.
Differentiating -6x² with respect to x gives us -12x.
Putting it all together, we have y' + 0 = x(dy/dx) + y - 12x.
Rearranging the equation, we get y' = (y - 12x) / (1 - x).
Therefore, the derivative of y with respect to x, or dy/dx, for the given equation is y' = (y - 12x) / (1 - x).
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a parallelogram has one angle that measures 65 what are the other three angles
Answers
Answer:
Step-by-step explanation:
65,115,115
2^2 y^-6
-------------
8^1 z^0 x^-7
How do you solve this?
Answers
——-
8y^6
this is the simplified answer. you flip negative powers.
Five students wrote a test and the scores were as follows:5,3,7,9 and x. If their total score was 30 find the value of x
Answers
Answer:
The value of X is 6.
Step-by-step explanation:
5 + 3 + 7 + 9 = 24
30 - 24 = 6
X = 6
The difference is 6.
x+10=?
I NEED HELP WE JUST STARTED THIS LESSON
Answers
Answer:
I need more info to answer that question.
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
The X is invisible and doesn't have a value causing the answer to still be 10.
Move point C and observe how the
angle measures change.
When AC changes,
m_ABC and mŁADC
vand are
to each other.
Answers
Answer:
[tex]\angle ABC[/tex] and [tex]\angle ADC[/tex] will change
[tex]\angle ABC[/tex] equal [tex]\angle ADC[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
What happens when AC changes
(a) [tex]\angle ABC[/tex] and [tex]\angle ADC[/tex] are formed from points A and C. So, a change in AC will result to a change in the measures of [tex]\angle ABC[/tex] and [tex]\angle ADC[/tex].
(b) [tex]\angle ABC[/tex] and [tex]\angle ADC[/tex] are in the same segment, meaning that they will always have the same measure
Watch help video
What is the image of (-9,9) after a dilation by a scale factor of 2 centered at the
origin?
Answers
Answer:
It would be C since a scale factor of 2 makes the original A coordinate of (3,3) times 2 therefore the new coordinates being (6,6)
Step-by-step explanation:
Let D be the region enclosed by the two paraboloids z = 3x2 + + y2 z = 16 – x2 Then the projection of D on the xy-plane is: 2 *-* = 1 = 1 16 = 1 4 16 O This option O This option x None of these 16 4
Answers
The projection of the region D onto the xy-plane is an ellipse centered at the origin, with a major axis length of 4 and a minor axis length of 2.
To find the projection of the region D onto the xy-plane, we need to determine the intersection curve of the two paraboloids in the xyz-space. Setting the equations of the paraboloids equal to each other, we have:
3x^2 + y^2 = 16 - x^2.
Combining like terms, we get:
4x^2 + y^2 = 16.
This equation represents an ellipse in the xy-plane. To visualize the projection, let's rewrite the equation in terms of standard form:
(x^2)/4 + (y^2)/16 = 1.
Comparing this equation to the standard equation of an ellipse, (x^2)/(a^2) + (y^2)/(b^2) = 1, we can see that the major axis of the ellipse is along the y-axis, with a length of 4, and the minor axis is along the x-axis, with a length of 2.
Therefore, the projection of the region D onto the xy-plane is an ellipse centered at the origin, with a major axis length of 4 and a minor axis length of 2. The shape of the ellipse will have its major axis along the y-axis and its minor axis along the x-axis.
In summary, the projection of the region D onto the xy-plane is an ellipse centered at the origin, with a major axis length of 4 and a minor axis length of 2.
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tory buys a bag of cat food that has a mass of 5 kilograms. torys cat has a mass of 4 kilograms, 575 grams,. what is the difference in mass, in grams, between the bag of food and torys cat?
Answers
Answer:
5
Step-by-step explanation:
Answer 424
Step-by-step explanation: you have to change 5 kg to 5,000 grams. then you have to change 4 kg to 4,000 grams. then add 575 to 4,000. then subtract 5,000 by 4,575now your answer is 424Please answer this is my last few points
Answers
Answer:
first is some and second is all
Step-by-step explanation:
PLEASE GIVE BRAINLIEST!!!!!!!!!!
Answer:
1. All
2. Some
Step-by-step explanation:
I belive this awnser is correct
Ben rolls a number cube 50 times. He records the result of each roll in the table below. RESULTS OF ROLLING NUMBER CUBE Outcome 1 2 3 4 5 6 Frequency 7 6 5 11 10 11 Based on the data, which statement is true? Ben will roll an even number about 250 times if the number cube is rolled 500 times. Ben will roll an even number about 220 times if the number cube is rolled 500 times. Ben will roll an even number about 700 times if the number cube is rolled 1,000 times. Ben will roll an even number about 560 times if the number cube is rolled 1,000 times.
Answers
Answer:Ben will roll an even number about 560 times if the number cube is rolled 1,000 times.
Step-by-step explanation: