And XZ=1/2XY
XZ be x
XY=YZ=2xNow
x+2x+2x=1075x=107x=21.4unitsXZ=21.4units
Answer:
XZ = 21.4 units
Step-by-step explanation:
If ΔXYZ is an isosceles triangle then XY = ZY
(the dashes on the line segments indicate they are of equal measure)
If XZ = ¹/₂XY then
⇒ 2XZ = XY = ZY
If the perimeter is 107 units:
⇒ Perimeter of ΔXYZ = XY + ZY + XZ
⇒ 107 = 2XZ + 2XZ + XZ
⇒ 107 = 5XZ
⇒ XZ = 107 ÷ 5
⇒ XZ = 21.4 units
6a-2y>4
Solve inequality for y
What is the surface area of the rectangular prism below?
Answer:
the answer is A. 612
Step-by-step explanation:
SA=2(wl+hl+hw)
parenthesis() mean multiply
x means multiply
SA= 2 x width x length + height x length + height x width
Carpet costs $8.30 per square foot. How much will it cost to carpet the room? Show your work.
The area is 812ft
Answer:
about 98 dollars to cover the whole room in carpet
Step-by-step explanation:
The Carpet costs $8.30 per square foot, so 812 ÷ 8.30 = 97 with remainder. Therefore 98 as a rounded total ✅
what is an event in which the outcome does impact the probability of the next event?
Answer:
Dependent Event
Step-by-step explanation:
Dependent Events: Two events are dependent when the outcome of the first event influences the outcome of the second event. The probability of two dependent events is the product of the probability of X and the probability of Y AFTER X occurs.
PLEASE HELP ME WITH THIS QUESTION!!!
9x²+3x-1=0
D=b²-4ac
= 3²-4×9×-1
=9+36
=45
x1= (-b+VD)/2a
= (-3+V45)/2×9
= (-3+3V5)/18
=(-1+V5)/6
x2=(-b-VD)/2a
=(-3-3V5)/18
=(-1-V5)/6
A special-edition model of a smart watch is sold in gold, green, blue, or red. ernie's electronics sold 234 of these smart watches last week. they sold twice as many red watches as gold watches. they sold 3 times as many green watches as gold watches. they sold the same number of blue watches as green watches. how many green smart watches did the store sell last week?
The number of green watches that were sold is 78
How to determine the number of green watches?The given parameters are:
Total =234Red = 2 * GoldGreen = 3* GoldBlue = GreenThe number of watches can be represented as
Gold + Green + Blue + Red = 234
Substitute Blue = Green
Gold + Green + Green + Red = 234
Gold + 2 * Green + Red = 234
Substitute Red = 2 * Gold
Gold + 2 * Green + 2 * Gold = 234
Evaluate the like terms
2 * Green + 3 * Gold = 234
Make Gold the subject in Green = 3* Gold
Gold = Green/3
Substitute Gold = Green/3 in 2 * Green + 3 * Gold = 234
2 * Green + 3 * Green/3 = 234
Evaluate the product
2 * Green + Green = 234
Evaluate the sum
3 * Green = 234
Divide both sides by 3
Green = 78
Hence, The number of green watches that were sold is 78
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PLEASE HELP ME I RELLY NEED IT
Answer:
[tex]KL=45.6[/tex]
Step-by-step explanation:
Property of a Rectangle: Opposite sides are equal.
This means:
[tex]KL = JM \text{ where JM = 45.6}[/tex]
[tex]KL = 45.6[/tex]
What are the values of the function when x=-2 and when x=4
Answer:
g(-2) = 0
g(4) = -4
Step-by-step explanation:
The outputs of each inequality are the numbers directly next to the parentheses. If an "x" value lies within a particular inequality, the values of the function are the corresponding output.
Remember, the "greater than or equal to" sign (≤) indicates that the "x" value can be equal to the number on the left. The "greater than" symbol (<) indicates that the number to the right cannot satisfy the inequality.
x = -2 lies within the inequality -2 ≤ x < 4. All "x" values that fall within this range are g(x) = 0. Therefore, g(-2) = 0.
x = 4 lies within the inequality 4 ≤ x < 10. All "x" values that fall within this range are g(x) = -4. Therefore, g(4) = -4.
Write the following fraction as a decimal number. 4/3/100 4.003 4.03 4.33 4.34
Answer:
133.3 <-- goes on forever
I think the rest are in decimal form.
how to solve x-3y=1 4x+5y=4 using elimination
Answer:
X=1, Y=0
Step-by-step explanation:
Solve for X and Y using a2 +b2 = c2
Type the missing number in this sequence:
6, 8, 11, 15, 20,____,33
Answer: 26
Step-by-step explanation: the pattern is +2, +3, +4, +5. +6, +7
6+2 = 8
8+3 = 11
11+4 = 15
15+5 = 20
20+6 = 26
26+7 = 33
Answer:
26
Step-by-step explanation:
In this, the addition of numbers is starting from 2 and continue. Such as 6+2=8,then 8+3=11. Similarly the addition of numbers is continuing
Please help help …….. pls
…..
Answer:
1) 1/2or 50%
2) 38/50 or 76%
3) 38/60 or 63%
4) not sure tbh
Step-by-step explanation:
HELP ASAP
Given the graph below, solve for the equation of the circle. Show your work and explain the steps you used to solve.
Answer:
(x + 3)^2 + (y - 3)^2 = 5^2
Step-by-step explanation:
They're not really much to show work. Looking at the graph we need to find the origin which is (h ,k), and the radius.
(h , k) = (-3 , 3)
The radius is r = 5 because counting it from origin to the edge.
Plug that into the formula equation: (x - h)^2 + (y - k)^2 = r^2
(x - (-3))^2 + (y - 3)^2 = 5^2
(x + 3)^2 + (y - 3)^2 = 5^2
Write down the coordinates of point A.
( ……… , ………)
b) The line L is shown on the grid. Find the equation of line L in the form of y = mx + c.
..............................
The coordinates of point A is: (-2, 5)
The equation of line L, in slope-intercept form, is: y = 1/2x + 2
What is the Equation of a Line?In slope-intercept form, the equation of a straight line is given as, y = mx + b, where:
b is the y-intercept, which is where the line cuts the y-axism is the slope = change in y / change in x.The coordinates of point A is: (-2, 5)
Slope (m) of line L = 2/4 = 1/2.
y-intercept (b) = 2
The equation of line L will be:
y = 1/2x + 2.
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The two expressions below have the same value when rounded to the nearest hundredth. log subscript 5 baseline b. log subscript 9 baseline 48 what is the approximate value of log b to the nearest hundredth?
The approximate value of log b to the nearest hundredth is 1.23
Laws of logarithmGiven the following logarithmic expressions
loog(5)b and log(9)48
Determine the value of log(9) 48
log(9)48 = 1.762
Equate log(5) b to 1.762 to log(5)b to determine the value of b
log(5)b = 1.762
b = 5^1.762
b = 17.044
log b = log 17.044 = 1.232
Hence the approximate value of log b to the nearest hundredth is 1.23
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Answer:
B = 1.232
Step-by-step explanation:
Just did it
A student made an 84% on
their Unit 1 Math Test.
What fraction is equivalent to
the score the student made on
the test?
Answer:
84/100
Step-by-step explanation:
We know that 100% is a whole, so we can use this as our denominator. If the student only got an 84, this will be our numerator. The numerator is a part of a whole, 84 is a part of 100. Therefore the answer would be 84/100.
combien font 3579+826
Question 1 (Multiple Choice Worth 1 points)
(03.01 MC)
Solve 7/3+2V9 and explain whether the answer is rational or irrational.
O The answer 9/12 is rational because the sum of a rational number and irrational number is a rational number.
The answer 9/12 is irrational because the sum of a rational number and irrational number is an irrational number.
The answer 773 +6 is rational because the sum of a rational number and irrational number is a rational number.
The answer 713+6 is irrational because the sum of a rational number and irrational number is an irrational number.
Answer:
The answer 7|3+6 is irrational because the sum of a rational number and irrational number is an irrational number.
I need help on this please
Answer:
Volume of a cone = (1/3) πr³
r = radius = d/2 = 2/2 = 1 ft
Volume = (1/3) * π * 1³
volume = 1.04 cubic ft
Which number sentence is represented by this model?
Answer:
Correct answer is B. -3 • 5 = - 15
Helpppppppppp meeeeeee pleaseeeeeeeee
Answer:
If you are rounding to the nearest tens the smallest number is 45. If you are rounding to the nearest whole number, the smallest number is 49.5
Answer:
49 and 51
Hope it helps
Find the measure of the indicated angle to the nearest degree.
Answer:
62°
Step-by-step explanation:
We use the fact that the ratio of the sides of the triangle to the angles opposite them is given by the Law of Sines:
"In any triangle, the ratio of a side length to the sine of its opposite angle
is the same for all three sides"
[tex]\frac{a}{sinA} = \frac{b}{sinb} =\frac{c}{sinC}[/tex]
where A is the is the angle opposite side a, B the angle opposite to side b, C is the angle opposite to side c
For the given triangle we get
44/sin90 = 39/sin?
sin90 is 1 so we get 44/1 = 39/sin?
or cross-multiplying,
sin? = 39/44 = 0.886363..
? = sin⁻¹ (0.886363) = 62.42° ≈ 62° answer
Answer:
? ≈ 62°
Step-by-step explanation:
using the sine ratio in the right triangle
sin? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{39}{44}[/tex] , then
? = [tex]sin^{-1}[/tex] ( [tex]\frac{39}{44}[/tex] ) ≈ 62° ( to the nearest degree )
Round your answers to the nearest cent.
f(0) =
meaning the cost of buying
gallons of paint would be
in the context of the problem.
f(10)
, meaning the cost of buying
gallons of paint would be
in the context of the problem.
f(67.5)
meaning the cost of buying
gallons of paint would be
This interpretation
in the context of the problem.
Based on the observations above, it is clear that an appropriate domain for the
function is
=
This interpretation
=
This interpretation
The interpretations of the function values are: the cost of buying 0, 10 and 67.5 gallons of paint would be 0, 28.5 and 73.9, respectively
How to interpret the function values?The equation of the function is given as:
f(x) = 9√x
When x = 0, 10 and 67.5, we have:
f(0) = 9√0 = 0
f(10) = 9√10 = 28.5
f(67.5) = 9√67.5 = 73.9
Hence, the interpretations of the function values are:
The cost of buying 0, 10 and 67.5 gallons of paint would be 0, 28.5 and 73.9, respectively
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Jackie has a choice of 3 pairs of shoes, 3 pants, and 4 shirts that can make an outfit for today. Each pair of shoes has a different heel height, each pair of pants is made from a different fabric, and each shirt is a different color.
Jackie randomly picks some clothes.
What is the probability that she chooses an outfit consisting of the flat heel or spike heel shoes, the twill or the denim pants, and the white or black shirt?
Answer:
2/9
Step-by-step explanation:
i just took a test with this exact question, and the answer was 2/9
youre welcome future learners ;)
The left windshield wiper on a Chevrolet Traverse cleans an area of 500.3in ^2.when in motion it has a cleaning pattern that arcs 98 degree . What is the length of the windshield wiper? Approximate the length to the nearest inch.
The length of the windshield wiper to the nearest inch is 24 inches
How to calculate the area of a sectorThe formula for calculating the area of a sector is given as:
A = r²β/2
r is the length of the wiper
β is the subtended angle
Given the following
A = 500.3 square in
β = 98 degrees = 98pi/180 = 49pi/90
Substitute
500.3 = r²49pi/180
500.3 = 153.86r²/180
153.86r² = 90054
r² = 585.298
r = 24.19
Hence the length of the windshield wiper to the nearest inch is 24 inches
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A rectangle has a perimeter of 80 centimeter. its height is four times the length of its base. what is the lenght of its base?
Answer:
8 cm
Step-by-step explanation:
To find the length of the rectangle's base, form 2 equations using the given information.
Perimeter of rectangle= 2(height +base)
Let the lengths of the height and base of the rectangle be h and b cm respectively.
Perimeter= 80
2(h +b)= 80
h +b= 80 ÷2
h +b= 40 -----(1)
h= 4b -----(2)
Let's solve by substitution!
Substitute (2) into (1):
4b +b= 40
5b= 40
b= 40 ÷5
b= 8
Thus, the length of its base is 8 cm.
what is the measure of angle 7 ?
Answer:
97°
Step-by-step explanation:
Please see attached
give answer in simplest form with working out pls
Answer:
5 x 5+3/5= 25+3/5=28/5÷8/3
28/5 x8/3= 224/15 =14.93
I really need help (i will give brainlist) Which function has a greater y-intercept ... f(x) or g(x)?
g(x)
f(x)
They are the same.
Answer:
they are exacly the same
Step-by-step explanation:
A quantity y varies inversely with the square of x. if y=8 when x=3, find y when x is 4.
I think 7/2 im not definate