In ∆TUV, Y is the centroid. If TW = 30, what is YW?
Answers
we know that
the centroid is always 2/3 the distance of each median to each vertex
TW=30
TW=TY+YW
TY=(2/3)*30---------> TY=20
then
YW=TW-TY-----------> YW=30-20-----------> YW=10
the answer is
YW=10
Answer:
answer is 10
Step-by-step explanation:
Related Questions
The original value of a car is 18000, and it depreciates (loses value) by 15% each year. What is the value of the car after three years?
Answers
.. 18,000*0.85^3 = 11,054.25
state whether the relationship between x and y in y=4x-5 is proportional or nonproportional
Answers
Find the volume for the regular pyramid.
4 cu. units
6 cu. units
12 cu. units
Answers
Formula is V = lwh/3
v=volume
I=base length
w=base length
h=base height
Answer:
[tex]4\ cu.\ units[/tex]
Step-by-step explanation:
we know that
The volume of the pyramid is equal to
[tex]V=\frac{1}{3}Bh[/tex]
where
B is the area of the base of the pyramid
h is the height of the pyramid
Find the area of the base
[tex]B=2^{2}=4\ units^{2}[/tex]
[tex]h=3\ units[/tex]
Find the volume
[tex]V=\frac{1}{3}(4)(3)=4\ units^{3}[/tex]
Somebody help. I can’t figure this question out. thanks
Answers
.. (30 mm)/(21 mm) = (14 mm +x)/(14 mm)
.. (14 mm)*10/7 = 14 mm +x
.. (14 mm)*(10/7 -1) = x
.. (14 mm)*(3/7) = x = 6 mm
The value of x is 6 mm.
[tex]21 \div 30 = 14 \div 14 + x[/tex]
[tex]30 \times 14 = 420[/tex]
[tex]21 \times 14 + x = 294 + 21x[/tex]
[tex]420 = 294 + 21x[/tex]
[tex]420 - 294 = 126[/tex]
[tex]126 = 21x[/tex]
[tex]126 \div 21 = 6[/tex]
[tex]x = 6[/tex]
how fast is the water level rising in a rectangular fish tank whose base is 20 ft^2 if the tank is being filled at a rate of 0.5ft^3/min
Answers
0.5 ft^3 = (20 ft^2)h
h = (0.5 ft^3)/(20 ft^2) = 0.025 ft
The rate of change of water depth is 0.025 ft/min.
The water level is rising at a rate of 0.025 ft/min.
To determine how fast the water level is rising in the rectangular fish tank, you can use the formula for the volume of a rectangular prism:
V = base area × height
Given that the base area is 20 [tex]ft^2[/tex] and the tank is being filled at a rate of
0.5 cube ft/min, you want to find the rate at which the height (h) is changing [tex](\frac{dh}{dt} )[/tex].
V = base area × height
[tex]\frac{d V}{d t}=\text { base area } \times \frac{d h}{d t}[/tex]
Substitute the known values:
0.5 = 20 x [tex](\frac{dh}{dt} )[/tex]
Now, solve for [tex](\frac{dh}{dt} )[/tex]
[tex]\frac{d h}{d t}=\frac{0.5}{20}[/tex] = 0.025 ft/min
Thus, the required answer is 0.025 ft/min.
Soon you will determine the right triangle connection the pythagorean theorem
Answers
The base 10 logarithm is called the _____ logarithm and is often written as log x instead of log10 x.,
Answers
Find the ratio of the longest side to the perimeter of the right-triangular-shaped billboard. 20 feet 21 feet 29 feet
Answers
29/70
29 to 70
the ratio is 29 ft. to 70 ft.
Solution:
we have been asked to find the ratio of the longest side to the perimeter of the right-triangular-shaped billboard.
Sides of the right-triangular-shaped billboard are 20 feet 21 feet 29 feet.
As we know perimeter is just the sum of all the sides.
Perimeter[tex]=20+21+29=70\\[/tex]
And the longest side is 29 feet.
Hence the required ratio [tex]=\frac{29}{70}=29:70[/tex]
Circle 1: center (8, 5) and radius 6
Circle 2: center (−2, 1) and radius 2
What transformations can be applied to Circle 1 to prove that the circles are similar?
What scale factor does the dilation from Circle 1 to Circle 2 have?
Show your work.
Answers
Circle 1: center (8, 5) and radius 6
Circle 2: center (−2, 1) and radius 2
we know that
the equation of a circle is
(x-h)²+(y-k)²=r²
for the circle 1---------> (x-8)²+(y-5)²=36
for the circle 2---------> (x+2)²+(y-1)²=4
using a graph tool
see the attached figure
Part A)What transformations can be applied to Circle 1 to prove that the circles are similar?
we know that
r1/r2---------> 6/2------> 3
to prove that the circle 1 and circle 2 are similar, the radius of circle 1 must be divided by 3 and translate the center of the circle 1 (10) units to the left and (4) units down
the answer part A) is
the radius of circle 1 must be divided by 3 and translate the center of the circle 1 (10) units to the left and (4) units down
Part B) What scale factor does the dilation from Circle 1 to Circle 2 have?
the answer Part B) is
the scale factor is (3/1)
A cell phone weighs about 2.8X10^n pounds. Which value of n is most reasonable? A)-3 b)-1 c)0 d)1
please help im stuckk
Answers
2.8 * 10^-3 = 0.0028 - Much too light
2.8 * 10^-1 = 0.28 - Reasonable weight
2.8 * 10^0 = 2.8 - Too heavy
2.8 * 10^1 = Much too heavy
[tex]\sf 10^{-3}=0.001[/tex]
[tex]\sf 10^{-1}=0.1[/tex]
[tex]\sf 10^0=1[/tex]
[tex]\sf 10^1=10[/tex]
[tex]\sf 2.8\times 0.001=0.0028[/tex]
[tex]\sf 2.8\times 0.1=0.28[/tex]
[tex]\sf 2.8\times 1=2.8[/tex]
[tex]\sf 2.8\times 10=28[/tex]
So what is the most reasonable weight for a cell phone? 0.0028 pounds, 0.28 pounds, 2.8 pounds, or 28 pounds? I would definitely say 0.28 pounds.
4) A mountain climber climbed up a cliff 1/4 mile at a time. he did this 5 times in one day. How many miles did he climb up? *
Answers
1/4+1/4+1/4+1/4+1/4= 1 1/4.
If arc XV = 68° and ∠YUV = 36°, what is the measure of arc VY?
Answers
we have
arc XV = 68°
∠YUV = 36°
we know that
The measure of the external angle is the semidifference of the arcs that it covers.
therefore
∠YUV =[arc VY-arc XV]/2
arc VY=[2*∠YUV]+arc XV----------> [2*36]+68---------> 140°
the answer is
the measure of arc VY is 140°
Factor completely: 9ab + 12ax - 6b - 8x (1 point)
1. Prime
2. (3b - 4x)(3a - 2)
3. (3b + 4x)(3a - 2)
4. (3b + 4x)(3a + 2)
Answers
Use FOIL to expand each factored form, only #3 will result in 9ab + 12ax - 6b - 8x
Given that the points (-3, 8), (2, 8), (2, -2), and (-3, -2) are vertices of a rectangle, what is the ratio of the rectangle's length to its width?
Answers
A ---> (-3, 8)
B ---> (2, 8)
C----> (2, -2)
D----> (-3, -2)
step 1
find the distance AB
d=√[(y2-y1)²+(x2-x1)²]-----> d=√[(8-8)²+(2+3)²]----> d=√25-----> d=5 units
step 2
find the distance BC
d=√[(y2-y1)²+(x2-x1)²]-----> d=√[(-2-8)²+(2-2)²]----> d=√100-----> d=10 units
step 3
find the ratio of the rectangle's length to its width
ratio=rectangle's length/rectangle's width
length=10 units
width=5 units
ratio=10/5-----> ratio=2
the answer is
the ratio of the rectangle's length to its width is 2
see the attached figure
Answer:
2:1
Step-by-step explanation:
Laila is having shirts made with a logo printed on them to promote her band. The total cost consists of a one-time fee of $75 to have the logo designed, plus $8 per shirt to print the logo. Write an equation that Laila can use to determine the total cost c, in dollars, to make x shirts
Answers
Is the answer 85.3???????
Answers
I hope this helps!
Which ordered pair is a solution for this system of inequalities?
2x + 3y > 1 and y < 5/4 x - 1
A.(3, 9)
B.(-4, 2)
C.(8, -1)
D.(-2, -5),
Answers
For this problem, the easiest method is to simply try each of the 4 possible answers and see which one fits. So
A. (3, 9)
2x + 3y > 1
2*3 + 3*9 > 1 ; Obviously true, not going to finish calculation.
y < 5/4 x - 1
9 < 5/4 3 - 1
9 < 15/4 - 1 ; Obviously false, not going to finish calculation.
B. (-4, 2)
2x + 3y > 1
2*(-4) + 3*2 > 1
-8 + 6 > 1 ; Obviously false, not going to finish calculation.
No need to bother with 2nd inequality.
C. (8, -1)
2x + 3y > 1
2*8 + 3*(-1) > 1
16 - 3 > 1 ; Obviously true, not going to finish calculation.
y < 5/4 x - 1
-1 < 5/4 * 8 - 1
-1 < 40/4 - 1
-1 < 10 - 1 ; Obviously true, not going to finish calculation.
Both inequalities satisfied, this is the correct choice.
D. (-2, -5)
2x + 3y > 1
2*(-2) + 3*(-5) > 1; Left hand side is obviously negative, so obviously false,
not going to finish calculation.
No need to bother with 2nd inequality.
trevor needs to let his puppy outside every quarter (1 fourth) hour to potty train him. draw and label a number line from 0 hours to 1 hour to show every 1 fourth hour.
Answers
Where is the centroid of any given triangle?
A. the point of concurrency of the altitudes of the triangle.
B. the point of concurrency of the medians of the triangle.
C. the point of concurrency of the perpendicular bisectors of the triangle.
D. the point of concurrency of the angle bisectors of the triangle.
Which of the following best describes the altitude of a triangle?
A. a segment perpendicular to a side of the triangle.
B. a segment that passes through the midpoint and is perpendicular to a side of a triangle.
C. a segment drawn from the ve
Answers
1. The centroid of any given triangle is at B. the point of concurrency of the medians of the triangle. It is a point is where the three points of the medians of the triangle meet.
2. B. a segment that passes through the midpoint and is perpendicular to a side of a triangle. It is line segment that is perpendicular to a line containing the base
Fill in the scale dimensions in the table to the nearest thousandth. The scale of a blueprint is 1/4 inch = 1 foot. A house has 1 bedroom measuring 10 feet 6 inches by 11 feet, a living room measuring 25 feet by 18 feet 8 inches, a kitchen measuring 13 feet 6 inches by 8 feet, and a dining room measuring 12 feet by 10 feet. Put the shortest length in the first box for each room. Give all answers to three decimal places (thousandths place).
bedroom inches by inches
living room inches by inches
kitchen inches by inches
dining room inches by inches
Answers
The scale dimensions of the rooms on the blueprint using a scale of 1/4 inch = 1 foot are calculated by converting feet to inches, then dividing by the scale ratio (0.25 inches per foot) to find each room's dimensions in inches on the blueprint.
To calculate the scale dimensions of the rooms on the blueprint, you will use the given scale of 1/4 inch = 1 foot. This means for every 1/4 inch on the blueprint, it represents 1 foot in actual size.
Step-by-Step Calculation for Each Room
Convert the scale into a ratio that can be used for calculations (1/4 inch / 1 foot or 0.25 inches / 12 inches since there are 12 inches in a foot).
Calculate the scale dimension for each room by dividing the actual dimension in inches by the scale ratio.
For each room, ensure to convert feet to inches first (1 foot = 12 inches) and then apply the scale.
Bedroom: 10 feet 6 inches is (10 * 12) + 6 = 126 inches, 11 feet is (11 * 12) = 132 inches. Scale dimensions: (126 inches / 48) by (132 inches / 48) equals 2.625 inches by 2.750 inches.Living room: 25 feet is (25 * 12) = 300 inches, 18 feet 8 inches is (18 * 12) + 8 = 224 inches. Scale dimensions: (300 inches / 48) by (224 inches / 48) equals 6.250 inches by 4.667 inches.Kitchen: 13 feet 6 inches is (13 * 12) + 6 = 162 inches, 8 feet is (8 * 12) = 96 inches. Scale dimensions: (162 inches / 48) by (96 inches / 48) equals 3.375 inches by 2.000 inches.Dining room: 12 feet is (12 * 12) = 144 inches, 10 feet is (10 * 12) = 120 inches. Scale dimensions: (144 inches / 48) by (120 inches / 48) equals 3.000 inches by 2.500 inches.Below is the scale dimensions for each room to the nearest thousandth:
Bedroom: 2.625 inches by 2.750 inchesLiving room: 6.250 inches by 4.667 inchesKitchen: 3.375 inches by 2.000 inchesDining room: 3.000 inches by 2.500 inchesWhat is cot theta when sin theta < 0 and cos theta = -5/13
Answers
The reason for that is that cot(theta) = cos(theta)/sin(theta) which means that the two minuses will cancel out.
Now all you have to do is calculate sin(theta).
a^2 + b^2 = c^2
cos = adjacent / hypotenuse
a = 5 The adjacent side
b = ????
c = 13 The hypotenuse
5^2 + b^2 = 13^2
25 + b^2 = 169
b^2 = 144
b = 12
sin(theta) = -12/13
cot(theta) = -5/13//-12/13
cot(theta) = -5/-12 = 5/12
Explain what needs to happen to the inequities sign when dividing or multiplying by a negative number
Answers
2 > 1
-2 < -1 . . . . . multiplied or divided by -1
___
A more "interesting" case is when a function is applied that has a negative slope.
0 < a < b < π
cos(0) > cos(a) > cos(b) > cos(π)
Is the mean always a more accurate measure of center than the median
Answers
what steps transform the graph of y=x^2 to y= -(x+3)^2+5
Answers
[tex]\bf \bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\ \bullet \textit{ flips it upside-down if } A\textit{ is negative}\\ ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if } B\textit{ is negative}[/tex]
[tex]\bf ~~~~~~\textit{reflection over the y-axis} \\\\ \bullet \textit{ horizontal shift by }\frac{ C}{ B}\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}\\\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by } D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{ B}[/tex]
now, with that template in mind, let's check this one
[tex]\bf y=x^2\implies y=\stackrel{A}{1}(\stackrel{B}{1}x\stackrel{C}{+0})^2\stackrel{D}{+0} \\\\\\ y=-(x+3)^2+5\implies y=\stackrel{A}{-1}(\stackrel{B}{1}x\stackrel{C}{+3})^2\stackrel{D}{+5}[/tex]
A = -1, reflection over the x-axis.
B = 1, C = +3, C/B = +3/1 = +3, horizontal shift to the left of 3 units.
D = 5, vertical shift up of 5 units.
PLS HELP ME ASAP ON THIS!! THANK YOU SO MUCH!!
BRAINLIEST WILL BE GIVEN
(RANDOM ANSWERS GETS MODERATED.)
Answers
The other two are
.. 0 fries + 1 shake + 1 burger = 4.20
.. 1 fries + 1 shake + 0 burger = 2.80
_____
Add any two orders and subtract the third to find the cost of one of the items.
For example add the two orders written above and subtract the one shown in the picture.
.. (1 fries + 2 shakes + 1 burger) - (1 fries + 1 burger) = (4.20 +2.80) -(3.40)
.. 2 shakes = 3.60
.. 1 shake = 1.80
Then the last equation tells you
.. 1 fries = 2.80 - 1 shake = 1.00
and the first equation tells you
.. 1 burger = 3.40 - 1 fries = 2.40
1 fries = $1.00
1 shake = $1.80
1 burger = $2.40
find the exact value of cos285 using the fact that 285=330-45
Answers
can someone help me with this?
Answers
I did it by plugging the functions into a graphing calculator and seeing which one matched, but you could also plug in 2 or 3 values into each x position and see which one's results matched with the shown function.
Suppose we deposit $73,000 into a savings account which compounds daily with 5% APY and we want to know how much the account will be worth after two days.
Answers
I1-------------> interest first day
I2-------------> interest second day
we know that
P0=$73000----------> initial amount
first day
I1=73000*(5%/100)*(1/365)-----------> I1=$10
P1=P0+I1------> $73000+$10-------- P1=$73010
second day
P1=$73010
I2=73010*(5%/100)*(1/365)-----------> I2=$10
P2=P1+I2------> $73010+$10-------- P2=$73020
the answer is $73020
A die is tossed. Find the odds against rolling a number greater than 4.
*the probability of rolling a # greater than 4 is 1/3.
*the probability that the event doesn't occur is 2/3.
What is the ratio?
Answers
The ratio of against to for is 2/3:1/3
You can further simplify this ratio by multiplying each side by 3 and yielding
2:1.
The chance of it not happening is twice as likely as it is to roll a number greater than 4
Ashley is digging for rocks at a geological site. She has 140 meters of rope and 4 stakes to mark off a rectangular area. Which set of dimensions will create a rectangle using all the rope Ashley has with her?
14 m × 10 m
70 m × 70 m
60 m × 10 m
55 m × 10 m
Answers
The total perimeter of the rectangle is P = 140m and the length and width of the rectangle is 60 m and 10 m respectively
What is the Perimeter of a Rectangle?The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.
Perimeter P = 2 ( Length + Width )
Given data ,
Let the perimeter of the rectangle be represented as P
Now , the equation will be
Let the total perimeter of rectangle P = 140 m
The Perimeter P = 2 ( Length + Width )
Let the length of the rectangle L = 60m
Let the width of the rectangle be W = 10 m
So , Perimeter P = 140 m
140 = 2 ( L + W )
140 = 2 ( 60 + 10 )
140 = 2 ( 70 )
140 = 140
Therefore , the length and width is given by 60m x 10m
Hence , the perimeter of rectangle is P = 140 m
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