Answer:
the Pythagorean theorem states:
a^2 + b^2 = c^2 in your case a=24 and c=40
Step-by-step explanation:
24^2 + b^2 = 40^2
24x24 + b^2 = 40x40
(576 + b^2 = 1600)
b^2 = 1600 - 576
b^2 = 1024
b= √1024
b = 32
Final answer: 32
The length of b is 32 units in triangle ΔABC.
What is Pythagoras theorem?Pythagoras theorem states that, a right-angled triangle, the square of the one side is equal to the sum of the squares of the other two sides.
a² + b² = c²
Given data as : a=24 and c=40
Substitute the values of a and c in the equation,
24² + b² = 40²
24x24 + b² = 40x40
(576 + b² = 1600)
b² = 1600 - 576
b² = 1024
b= √1024
b = 32
Hence, the length of b is 32 units.
Learn more about Pythagoras theorem here:
brainly.com/question/343682
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is 0.27 greater than 0.3 ?
Answer:
No
Step-by-step explanation:
here's a little trick, add a zero to make both numbers the same.
it's doesn't change the value.
so .27 and .3 become .27 and .30
and .30 is greater
write the point-slope form of the equation of the line described.
1. through: (-2, 5), slope =6
2. passing through the following points:
x y
7 19
8 22
9 25
10 28
Answer:
6x - y + 17=0
Step-by-step explanation:
Given :-
The slope of the line is 6 and it passes through (-2,5) .And we need to find out the equation of the line. Using the point slope form. The point slope form of the line is ,
[tex]:\implies[/tex] m ( x - x1) = ( y - y1)
[tex]:\implies[/tex] 6( x -(-2)) = ( y -5)
[tex]:\implies[/tex] 6( x +2) = y -5
[tex]:\implies[/tex] 6x +12= y -5
[tex]:\implies[/tex] 6x - y +17=0
Hence the equation of the line is 6x - y +17=0Using graphing, what is the approximate solution of this equation?
Answer:
D. x ≈ 2.60
Step-by-step explanation:
After graphing both of these equations separately, we can see that they meet at a point of x = 2.59, therefore the answer to this question would be D. Both values also seem to meet at an x value of -0.548 but it is not an option in this question, probably because the y output value is close not the same for both equations. The graphs can be seen in the attached picture below.
Answer:
D. x ≈ 2.60
Step-by-step explanation:
Plato
Kemone has a trunk that measures 3 feet wide, 4 feet long, and 2 feet high. What is the volume of the trunk? *
Answer:
24 ft cubed
Step-by-step explanation:
V=l*w*h
V= 4 x 3 x 2
4 x 3=12 and 12 x 2= 24
What are the end behaviors of f(x) = (1/3)^x – 2 ?
Answer:
[tex]\lim_{x\to -\infty} f(x)=\infty,\\\lim_{x\to \infty} f(x)=2,[/tex]
Step-by-step explanation:
The end behaviors of a function simply denote where the function is headed at x approaches negative and positive infinity. In [tex]f(x)=\left(\frac{1}{3}\right)^x+2[/tex], as [tex]x[/tex] gets approaches [tex]-\infty[/tex], the function will approach [tex]y=\infty[/tex]. As [tex]x[/tex] approaches [tex]\infty[/tex], the function will approach [tex]y=2[/tex].
We can write this in the following format to denote these end behaviors:
[tex]\lim_{x\to -\infty} f(x)=\infty,\\\lim_{x\to \infty} f(x)=2,[/tex]
A ball is thrown from a height of feet with an initial downward velocity of . The ball's height (in feet) after seconds is given by the following.
How long after the ball is thrown does it hit the ground?
Answer:
the ball will hit the ground in 2.09 seconds
complete the coordinates
Answer:
[tex]p(0,4)~Q(-3,0)[/tex]
Step-by-step explanation:
[tex]a) 4x+3y=12[/tex]
[tex]4(0)+3y=12[/tex]
[tex]3y=12[/tex]
[tex]y=4[/tex]
[tex]P(0,4)[/tex]
--------------
[tex]4x+3=12[/tex]
[tex]4x+3(0)=12[/tex]
[tex]4x=12[/tex]
[tex]x=3[/tex]
[tex]Q(-3,0)[/tex]
---------------------------
hope it helps...
have a great day!!!
Answer:
p(0, 4) Q( -3 ,0)
Step-by-step explanation:
hope it helps you
Plssss helpp I’ll mark u brainliest fr
HELP! Will give branliest!
Answer:
angle 1 is 99
angle 2 is 81
Step-by-step explanation:
3x+x+48=180
4x+48=180
4x=132
x=33
How would the graph of the function y=|x|-4 be affected if the function were changed to y=|x|-1?
Answer:
[tex]y =|x| - 4[/tex] is translated 3 units up
Step-by-step explanation:
Given
[tex]y =|x| - 4[/tex]
Required
The changes that makes it to: [tex]y =|x| - 1[/tex]
By observation, we can see that [tex]y =|x| - 4[/tex] was translated up to [tex]y =|x| - 1[/tex]
Next, is to calculate the units of translation (c)
Represent the old function as:
[tex]y=\left|x\right|-4 + c[/tex]
Equate y and y
[tex]\left|x\right|-4 + c =\left|x\right|-1[/tex]
Cancel out |x|
[tex]-4 + c=-1[/tex]
Solve for c
[tex]c = 4 - 1[/tex]
[tex]c = 3[/tex]
A right triangle has side lengths 8, 15 and 17 as shown below. Use these lengths to find tan B, sin B, cos B
II. Solve for h in 31h + 12) = 4h.
h =___
with explanation pls.
answer ASAP i need it now
Answer: -0.4
Step-by-step explanation:
13 units find area of sector EFG.
In circle F with mZEFG= 168 and EF
Round to the nearest hundredth.
G
FI
E
Answer:
picture? (170
Step-by-step explanation:
Convert the measurement as indicated.
450 in to yards
450 in =
|yd (Type
an
integer or a decimal.
Answer:
Step-by-step explanation:
There are 36 inches in a yard.
1 /36 = x / 450 Multiply by 450
450/36 = x
x = 12.5 yards.
A pair of jeans is regularly priced at $45.99. If the sale price is $32.99, to the nearest percent, what is the percent decrease in the cost of the jeans?
JKkj J JVJ J J J J J J J J J J J J JK K JK JKJ K KJ K JK J
Answer:
asdfasdfasdfasdf
Step-by-step explanation:
Step-by-step explanation:
ᕙ(⇀‸↼‶)ᕗᕦ(ಠ_ಠ)ᕤ୧( ಠ Д ಠ )୨
find angle measure:
A)-210 °
B)-30°
C)-15°
D)-35°
Answer:
B
Step-by-step explanation:
90-60 is 30 and it goes backwards so it is -30
Please help! I will mark you brainiest
Answer:
18
Step-by-step explanation:
.
Answer:
18
Step-by-step explanation:
Pls help me, if you get it right I will give you Brainlist!
Answer:
b
Step-by-step explanation:
Please mark brainliest
Answer:
28.27433
Step-by-step explanation:
Given that P(x)=2x²+5x-5, Q(x)=4x²-3x+2,find......Q(-3)
Answer:
[tex]Q(x) = 4x^2 -3x + 2\\\\Q(-3) = 4(-3^2) -3(-3) +2 = 36 +9 +2 = 47[/tex]
How does this topic reinforce or change your belief about the application of math to your daily life?
Answer:
Step-by-step explanation:
Eso tiene que ser una respuesta propia
Step-by-step explanation:
hdgjgdsthtdbtxht yfspgjsdhjdjevrg
The base of a triangular prism is shown below. The height of the prism is 14 units.
12 units
12 units
-11.3 units
8 units
What is the total surface area of the prism to the nearest tenth of a square unit?
F 90.4 square units
G448.0 square units
H 538.4 square units
J 632.8 square units
F
Plz hurry
What is the mean of this set: {2, 6, 7, 9, 9, 9}?
6
7
8
9
Answer:
not sure but I think its 7
Step-by-step explanation:
2+6+7+9+9+9=42
42÷6=7
On your paper, graph these coordinates:
(0, 1), (2, 5), (3,7)
Exterior angles of triangles: help me find the value of x please
Answer:
12
Step-by-step explanation:
Can anyone help me out? I’ll give Brainly! Thank you :)
Answer:
The rate of return is 14%
Step-by-step explanation:
The rate of return can be determined by,
RR = [tex]\frac{A_{f} - A_{i} }{A_{i} }[/tex] x 100%
where:
RR is the rate of return
[tex]A_f}[/tex] is the final amount = $690 - $6 = $684
[tex]A_{i}[/tex] is the initial amount = $15 x 40 = $ 600
So that,
RR = [tex]\frac{684 - 600}{600}[/tex] x 100%
= 0.14 x 100%
= 14%
Therefore, the rate of return is 14%.
The perimeter of a rectangular painting is 244 centimeters. If the width of the painting is 51 centimeters, what is the length?
Answer:
193 i think
Step-by-step explanation:
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the estimated difference of 3209 and 1893, when rounded off to the nearest ten is
Answer:
1320
Step-by-step explanation:
Rounding:
It is to the nearest 10, so the numbers would be
3210
1890
Subtracting:
3210
-1890
_____
1320
And there is your answer :D
Find the critical points of the following functions. Use the Second Derivative Test to determine (if possible) whether each critical point corresponds to a local maximum, a local minimum, or a saddle point. If the Second Derivative Test is inconclusive, determine the behavior of the Junction at the critical points. f(x,y)=x^4y^2
Answer:
In a function of two variables, the critical points are these in which both derivatives are 0, and if:
[tex]\frac{d^2f}{dx^2}*\frac{d^2f}{dy^2} - [ \frac{d^2f}{dxdy} ]^2 < 0[/tex]
the point is a saddle point.
If the above equation is larger than zero, the critical points can be either a local maximum or a local minimum.
If it is equal to zero, no conclusions can be made.
First, let's find all these derivatives.
df/dx = 4*(x^3)*(y^2)
This is zero when x or y are equal to zero.
df/dy = 2*(x^4)*(y)
This is equal to zero when either x or y are equal to zero.
So in both cases, the points of the form:
(x, 0) and (0, y) are zeros of the first derivative, so these are the critical points.
Now let's look at the second derivatives:
[tex]\frac{d^2f}{dx} = 4*3*x^2*y^2 = 12*x^2*y^2[/tex]
[tex]\frac{d^2f}{dy^2} = 2*x^4[/tex]
[tex][\frac{d^2f}{dxdy} ]^2 = (4*x^3*2*y)^2 = 64*x^6*y^2[/tex]
Then, the equation to see if the points are saddle points or not are:
[tex](12*x^2*y^2)*(2*x^4) - 64*x^6*y^2 < 0[/tex]
In any of the previous found points (the ones of the form (x, 0) and (0, y)) the above equation will be equal to zero, then none of these points is a saddle point. More than that, in the particular case where the above equation is equal to zero, the critical points can be either: A relative minimum, a relative maximum, or a saddle point (so we need more analysis to find it out)
But in this case is ratter simple, because both powers in f(x, y) are even, we can conclude that the function is even and symmetric about x= 0 and y = 0, and the function is also positive, so all the points:
(0, y) and (x, 0) are the minimum values that f(x, y) can take.
Then the critical points are relative minimums.
If JK= 2x, KL=8, and JL= 4x, what is JK?
(On a line segment)
J 2x K 8 L
|—————————-|————————-|
4x
^_____________|_____________^
Answer:
JK = 8
Step-by-step explanation:
As JK + KL = JL.
2x + 8 = 4x
–2x –2x
8 = 2x
÷2 ÷2
4 = x.
x = 4.
JK = 2x.
x = 4 → JK = 2x → JK = 2(4) → JK = 8.