Answer: Shorter leg = 6 inches
Longer leg = 6+2 = 8 inches
Step-by-step explanation:
Let the shorter leg bw represented by x.
Therefore, the longer leg will be x+2.
The hypothenuse is 10inches
We should note that in Pythagoras theorem, the square of the longer and shorter side equals the square of the hypothenuse. This will be:
x² + (x+2)² = 10²
x² + x² + 4x + 4 = 100
2x² + 4x = 100 - 4
2x² + 4x = 96
2x² + 4x - 96 = 0
x² + 2x - 48 = 0
x² + 8x - 6x - 48 = 0
x(x + 8) -6(x + 8) = 0
x - 6 = 0
x = 0+6.
x = 6
Shorter leg = 6 inches
Longer leg = 6+2 = 8 inches
Volume of Cylinders, Cones, and Spheres
I NEED HELP ASAP!!
Answer:
8) 144pi
9) 196pi
11) 18pi
12) 298.67pi
Step-by-step explanation:
CylindersThe volume of a cylinder is [tex]V = \pi r^{2} h[/tex], where r represents the radius of the base and h represents the height.
For the first cylinder, the radius of the base is 4 and the height is 9.
[tex]V = \pi (4)^{2} (9)\\V = \pi(16)(9)\\V = 144\pi[/tex]
For the second cylinder, the diameter is 6 and the height is 2. Since the radius is half the diameter, the radius is 3.
[tex]V = \pi (3)^{2} (2)\\V = \pi(9)(2)\\V = 18\pi[/tex]
SphereThe volume of a sphere is [tex]V = 4\pi r^{2}[/tex], where r is the radius of the sphere.
The diameter is 14, meaning the radius must be 7.
[tex]V = 4\pi (7)^{2} \\V = 4\pi (49)\\V = 196\pi[/tex]
ConeThe volume of a cone is [tex]V = \pi r^{2} (h/3)[/tex], where r is the radius and h is the height.
The radius is 8, and the height is 14.
[tex]V = \pi (8)^{2} (14/3)\\V = \pi (64) (14/3)\\V = \frac{896}{3} \pi\\V = 298.67\pi[/tex]
GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
4
Answer:
QX = 5.7
Step-by-step explanation:
Here, we want to get QX
For a rectangle, the length of the parallel sides are equal
Thus,
SR will be 8 too
Since x is the midpoint of SR, we have it that RX is 4 too
The angle at each corner of the rectangle is 90 degrees each
Thus,
QRX is a right triangle
Mathematically, QX is the hypotenuse of this triangle as it is the side that faces the right angle
According to Pythagoras’ ; the square of the hypotenuse of a right triangle equals the sum of the squares of the two other sides
thus;
Qx^2 = 4^2 + 4^2
QX^2 = 32
QX = √(32)
QX = 5.7 units
Hallar la ecuación de la recta que pasa por el punto P(-3,-1) y por el punto de intersección de las rectas 2x − y = 9 y 3x − 7y = 19
Answer:
y = -1
Step-by-step explanation:
The standard form of equation of a line is y = mx+b
m is the slope
b is the y intercept
Get the coordinate of the point of interception of the line 2x - y = 9 and 3x - 7y = 19
Make y the subject of the formula in both expressions
For 2x - y = 9
- y = 9- 2x
y = 2x - 9
Similarly for 3x - 7y = 19
-7y = 19 - 3x
7y = 3x - 19
y = 3/7 x - 19/7
Equating both expressions
2x - 9 = 3/7 x - 19/7
Multiply through ny 7
14x - 63 = 3x - 19
14x - 3x = -19 + 63
11x = 44
x = 44/11
x = 4
Since y =2x - 9
y = 2(4) - 9
y = 8-9
y = -1
Hence the coordinate of intersection is at (4, -1)
Get the equation of the line passing through (-3, -1) and (4, -1)
Slope m = -1+1/4+3
m = 0/7
m = 0
Get the intercept
Substitute m = 0 and (-3, -1) into y = mx+b
-1 = 0(-3) + b
-1 = b
b = -1
Get the required equation
Recall that y = mx + b
y = 0x + (-1)
y = -1
Hence the required equation is y = -1
can someone please put 2x + 3 into words? this is for algebra
also, extra brainly points for whoever can explain how to put 2x + 3 into algebra tiles
thank you!
Answer:
A constant with hidden variable being two times on first term increased by three times.
or,
A hidden age of adult twice adding with variable increasing with three times.
Based on the timeline, which of the following statements is true?
Answer:
Answer B.Step-by-step explanation:
If you check each answer, only B works since it is the only one that would place everything correctly on the timeline
if u could help me out i would appreciate it
I dont know what To Put here srry
There is a question here it pic
Answer:
31.4 OR 10π
Step-by-step explanation:
circumference of the circle: 2 × 3.14(π) × radius
the radius in the circle shown is 5
2 × 3.14 × 5 = 31.4
or
2 × π × 5 = 10π
85°
152
Find the value of the missing angle
Answer:
67°........................
Answer:
x=67
Step-by-step explanation:
please help me!!! I would appreciate it please
Answer:
y = -|x-3|+2
Step-by-step explanation:
The y-intercept is 2, because absolute value takes values from 0 to infinity, and minus absolute value (as we have here) takes values from 0 to -infinity, so wee need to shift 2 upwards.
We can notice that the 0-point of the absolute value (without intercept) is at x=3, so we need |x - ?| to equal 0 when x = 3, so ? is 3.
y = -|x-3|+2
what is 27 divided by 6 long division
please add an remainder.
don't reply anything other but the actual answer.
Answer:
4 R 3 or 4.5
Step-by-step explanation:
Find the slope of the line graphed below.
Answer:
Step-by-step explanation:
plz help it’s due tonight i rlly need help thanks
There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a red marble is
4
9
.
There are 32 red marbles in the bag and each is equally likely to be chosen.
Work out how many marbles in total there must be.
Cross elasticity of demand is the percentage change in the quantity __________ of a good divided by the percentage change in __________. Group of answer choices demanded; the price of the good supplied; the price of the good demanded; the price of another good supplied; the price of another good demanded; income
Answer:
demanded;
the price of another good demanded
Step-by-step explanation:
Cross price elasticity of demand measures the responsiveness of quantity demanded of good A to changes in price of good B.
cross price elasticity of demand = percentage change in quantity demanded of good A / percentage change in price of good B
Price elasticity of demand measures the responsiveness of quantity demanded to changes in price of the good.
Income elasticity of demand measures the responsiveness of quantity demanded to changes in income.
brainliest HELP one simple question
i need to know what x and y equals, i need both answers pls
Guengle works in urban landscape design a truck arrived pouring a cone shaped pile of gravel six feet high with a diameter at the base of 8.2 ft how much gravel was delivered use pie\
Answer:
[tex]105.56\ ft^3[/tex] of gravel was used.
Step-by-step explanation:
Given that,
The height of a cone, h = 6 feet
The diameter of the base of cone, d = 8.2 feet
Radius, r = 4.1 feet
We need to find the amount of gravel was delivered. The volume of a cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2 h\\\\=\dfrac{1}{3}\times 3.14\times 4.1^2\times 6\\\\V=105.56\ ft^3[/tex]
So, [tex]105.56\ ft^3[/tex] of gravel was used.
PLS HELP!!!!
Select the correct comparison.
Set A
Set B
.
. . .
278 10
0268
A. The typical value is greater in set A. The spread is greater in set B.
B. The typical value and the spread are both greater in set A.
C. The typical value and the spread are both greater in set B.
D. The typical value is greater in set B. The spread is greater in set A.
Look at the graph shown below the blue line represents an _______ of the graph
Given:
The graph of a function and a blue line.
To find:
The correct name for the blue line.
Solution:
Domain: It is the set of inputs. These are the x-values for which the function is defined.
Range: It is the set of outputs. These are the y-values for the function.
Asymptote: The function approaches to a line as x approaches to -∞ or ∞ but not intersect the line, then the line is known as asymptote.
y-intercept: It is the intersection point of the function and the y-axis.
From the given graph it is clear that the function approaches to the blue line as x approaches to -∞ but not intersect the blue line.
So, the blue line is an asymptote of the function.
Look at the graph shown below the blue line represents an asymptote of the graph.
All of the following represent three multiplied by six except:
3x6
3.6
316)
3:6
The statement represent three multiplied by six is 3 x 6 or 3.6
What is Multiplication?Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis.
We have,
We have to represent three multiplied by six.
1. 3 x 6 shows three multiplied by six.
2. 3. 6 also shows three multiplied by six.
3. 316 not shows three multiplied by six.
4. 3:6 shows the division of 3 and 6.
Learn more about Multiplication here:
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69.92 divided by 7.6
Answer:
9.2
Step-by-step explanation:
hope it helps
Write 6b as an addition expression.
pls halp me uwu
Answer:
6b+0=6b
Step-by-step explanation:
M a t h
PLS HELP! DUE TODAY WILL MARK BRAINLIEST
3. Find the measure of arc JK
Hint - arc LK is a semi-circle!
Find arc JK.
A) 90
B) 116
C) 128
D) 130
Answer:
KJ = 128°
Step-by-step explanation:
JL = 2×26 = 52°
KL= KJ + JL
KJ = KL-JL
KJ = 180° - 52°
KJ = 128°
Michelle is rolling two six-sided dice, numbered one through six. What is the probability that the sum of her rolls is 8?
#9 please help
I’ll give brainlylist in return
PLEASE HELP WILL MAKE BRAIN IF YOU HELP!
Answer:
60
Step-by-step explanation:
The sum of two interior angles in a triangles is equal to one exterior angle that is supplementary to the third interior angle
3x+4x = 10x - 45
7x = 10x - 45 transfer 45 to the other side of equation and subtract 7x from 10 10
45 = 10x - 7x
45 = 3x divide both sides by 3
15 = x angle B is 4*15 = 60
Which equation represents a line that passes through (2, -0.5) and has a slope of 3? Oy - 2 = 3(x+ -0.5) 0 y 3= 2(x + 0.5) 0y + 7 = 3(x - 2) Oy + 7 + 2(x - 3)
Answer:
y=3x-6.5
Step-by-step explanation:
y-y1=m(x-x1)
y-(-0.5)=3(x-2)
y+0.5=3x-6
y=3x-6-0.5
y=3x-6.5
The slope of a line indicates the measure of the steepness and the direction of the line. The slope of any line can be calculated using any two distinct points lying on the line. The equation is y = 3x-6.5. The correct option is D.
What is equation of a line?The equation of a line is an algebraic form which represents the set of points, which together form a line in a coordinate system. The equation of line is a linear equation with a degree of one. It can be formed with the help of the slope and a point on the line.
The equation of a line passing through the point and slope is given as:
(y - y₁) = m (x - x₁)
(y - -( 0.5)) = 3 ( x - 2)
(y + 0.5) = 3 (x - 2)
(y + 1/2) = 3 (x - 2)
or
y + 0.5 = 3x - 6
y = 3x - 6.5
Thus the correct option is D.
To know more about equation of a line, visit;
https://brainly.com/question/29201769
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Your question is incomplete most probably your full question was:
Which equation represents a line that passes through (2, -0.5) and has a slope of 3?
A. y - 2 = 3( x + 1/2)
B. y- 3 = 2 ( x+ 1/2)
C. y + 1/2 = 3 (x - 2)
D. y + 1/2 = 2 (x -3)
In the diagram, AP is a tangent and PBC is a secant in a circle O. If PC = 12 and BC = 9, what is AP?
Answer:
6
Step-by-step explanation:
AP^2 = PC * PB
We have PC and BC. We need PB.
PC = 12
BC = 9
PB + BC = PC
PB + 9 = 12
PB = 3
AP^2 = 12 * 3
AP^2 = 36
AP = 6
Answer: 6
Answer:
Hey!
AP will be 6cm.Step-by-step explanation:-
to solve this, the equation PB X PC = [tex]AP^{2}[/tex] can be used
In the ques, its given that PC= 12cm and BC = 9.
To solve this, WE NEED TO FIND PB, SO:-
PB + BC = PC
PB + 9 = 12
PB = 3cm.
Now, we can substitute this in the equation:- PB X PC = [tex]AP^{2}[/tex]
[tex]AP^{2}[/tex] = PB x PC
[tex]AP^{2}[/tex] = 3 X 12
[tex]AP^{2}[/tex] = 36
AP = [tex]\sqrt{36}[/tex]
AP = 6cm.Z-5.7=-5.4
I can’t figure this one out?
Lamborghini rental company charges a rate to rent a Lamborghini of $85 plus an additional fee of five dollars per mile you drive a car wouldn’t ultimate ticket or geometric sequence best model the situation what explicit formula models the situation how much would you have to pay if you drive 150 miles
Answer:
835$
Step-by-step explanation:
5$ for each extra mile
5 x 150 = 750
750 + 85 = 835
Plsss help ASAP
Will mark brainleist
Answer:
hello! Your answer would be, 1: B) AND 2: D)
Step-by-step explanation:
Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia