Answer:
Value of Z is 16.39
Step-by-step explanation:
each line is 0.08 away.
the value of z is 16.39
hope this helped! have a nice day!
Use what you know about domain to select all of the following functions that could be the one graphed.
Answer:
y1 = √x - 3
y2 = √x - 1
Step-by-step explanation:
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equations.
Please see the attached image below, to find more information about the graph s
The equations are:
y1 = √x - 3
y2 = √x - 1
y3 = √(x+1)
y4 = √(3x-3)
Based on the image below, the possible choices would be
the functions
y1 = √x - 3
y2 = √x - 1
A right triangle △ABC with right angle C is inscribed in a circle. Find the radius of this circle if: Given m∠C = 90°, k(O, r) inscribed in △ABC, AC = 18 cm, m∠B = 30°. Find r.
Answer:
18 cm
Step-by-step explanation:
find the hypotenuse using 30, 60, 90 rule then divide it by 2 to find the radius
P.S. posting all of the RSM questions aren't you
Answer:
The radius is 18 cm
Step-by-step explanation:
Given that a right triangle △ABC with right angle C is inscribed in a circle.
Also, AC = 18 cm, m∠B = 30°
we have to find the radius of this circle.
In ΔABC
[tex]\sinB=\frac{AC}{AB}=\frac{18}{AB}[/tex]
[tex]AB=\frac{18}{\sin 30}=\frac{18}{\frac{1}{2}}=36cm[/tex]
As given right angle i.e angle C is of 90° which is angle formed in the semicircle. Hence, the hypotenuse side must be the diameter of circle.
Diameter=36 cm
[tex]Radius=\frac{1}{2}\times diameter=\frac{1}{2}\times 36=18 cm[/tex]
Which number line represents the solution set for the inequality –(1/2)x ≥ 4?
When the sign is ≤ or ≥ (less/greater than or equal to), the dot is filled in.
When the sign is < or >, the dot is not filled in and looks like this o
To find out which number line represents the solution set, simplify the inequality and isolate x
[tex]-\frac{1}{2}x\geq4[/tex] Multiply -2 on both sides to get rid of -1/2
[tex](-2)(-\frac{1}{2}x)\geq4(-2)[/tex]
x ≤ -8 (The sign flips when you multiply/divide a negative number on both sides of the inequality)
so you get x is greater than or equal to -8, so you have a filled in circle on -8, and the arrow should be going to the right since x is greater than -8
answer : second choice / b
we have
-1/2x >_ 4
Solve the inequality
Multiply by both sides-----> remember change inequality sign
x<_ -4(2)
x<_ -8
the solution is the interval-----------> (-∞,-8]
using a graph tool
see the attached figure
the solution is the shaded area:
If point (a, b) is in the second quadrant, in what quadrant is (a,-b). (-a, b), (-a,-b), (b, a)
Point (a, -b) will be in the third quadrant, (-a, b) will be in the first quadrant, (-a, -b) will be in the fourth quadrant, and (b, a) will be in the fourth quadrant.
Explanation:
The original point (a, b) is in the second quadrant, which means the value of 'a' is negative and 'b' is positive. For the point (a, -b), the x-coordinate remains the same (negative) and the y-coordinate becomes negative, so this point will be in the
third quadrant
. For (-a, b), both the x and y coordinates change sign. The 'x' becomes positive and 'y' remains positive, landing this point in the
first quadrant
. For (-a, -b), both coordinates are positive, which puts this point in the
fourth quadrant
. Lastly, for (b, a), the 'x' coordinate is positive and 'y' coordinate is negative (since 'a' is negative), which means this point will be in the
fourth quadrant
as well.
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Points resulting from the transformation of (a, b) in the second quadrant lie in various quadrants based on their signs. (a, -b) is in the fourth quadrant, (-a, b) is in the third quadrant, and both (-a, -b) and (b, a) are in the first quadrant.
Given that point (a, b) is in the second quadrant, we need to determine the quadrants of the points (a, -b), (-a, b), (-a, -b), and (b, a).
(a, -b): Since a is positive and -b is negative, this point lies in the fourth quadrant.(-a, b): Here, -a is negative and b remains positive, placing this point in the third quadrant.(-a, -b): Both -a and -b are negative, so this point lies in the first quadrant.(b, a): With b positive and a positive, this point would fall in the first quadrant.To summarize, if the original point is in the second quadrant of the Cartesian coordinate system, the points (a, -b) is in the fourth quadrant, (-a, b) is in the third quadrant, (-a, -b) is in the first quadrant, and (b, a) is in the first quadrant as well.
Which pattern folds into the triangular prism?
The letter choice is in the 2nd picture
Answer:
the answer will be the letter W
Step-by-step explanation:
Answer:
W
Step-by-step explanation:
Think about folding the two triangles up in W. You can then fold the outermost rectangles up to form a triangular prism.
Also, notice that the folded figure has two blue triangles and no other picture has two blue triangles besides W.
solve using the substitution method x = 10 y = 2x- 6
Answer:
y=14
Step-by-step explanation:
y=2(10)-6
y=14
Three fourths through the soccer season,Gustafo has 24 goals.He averages 4 goals per game.How many more games will it take Gustafo to have at least 40 goals before the season is over?
Answer:=40
He needs 4 more games because 4*10
Step-by-step explanation:
Gustafo needs to score 16 more goals to reach 40 goals. Since he scores 4 goals per game on average, he will need 4 more games to reach his goal.
Explanation:To determine the number of games Gustafo needs to reach at least 40 goals, we first have to find out how many goals he still needs to score. Right now, Gustafo has 24 goals. So, 40 (the total number of goals he needs) - 24 (the goals he already has) = 16 goals he still needs to score.
Since Gustafo scores an average of 4 goals per game, we then divide the number of goals he still needs to score by his average goals per game to find out how many games it will take. So, 16 (goals needed) ÷ 4 (average goals per game) = 4 games. Thus, Gustafo needs to play 4 more games to reach at least 40 goals before the season is over.
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I need help with this problem
PLEASE HELP!
Answer:
D Buy at a local store where the item’s regular
price is $22.50 and it is on sale for 10% off.
Step-by-step explanation:
You want to make a rectangular box, open at the top, by cutting the same size square corners out of a rectangular sheet of cardboard and then folding up the sides. The cardboard measures 11 in. by 14 in. What are the dimensions of the box that will have greatest volume if the possible corner cuts measure 1 in., 2 in., 3 in., or 4 in.?
Answer:
2 in.
Step-by-step explanation:
If we cut squares from all 4 corners and make it into a open rectangular box, the length of the square cut will become the height of the rectangular prism.
If we cut 1 inch side square:
The 11 inch side will become 11 - 2(1) = 9 and 14 inch side will become 14 - 2(1) = 12. Height is 1. So Volume would be 9 * 12 * 1 = 108
If we cut 2 inch side square:
The 11 inch side will become 11 - 2(2) = 7 and 14 inch side will become 14 - 2(2) = 10. Height is 2. So Volume would be 7 * 10 * 2 = 140
If we cut 3 inch side square:
The 11 inch side will become 11 - 2(3) = 5 and 14 inch side will become 14 - 2(3) = 8. Height is 3. So Volume would be 5 * 8 * 3 = 120
If we cut 4 inch side square:
The 11 inch side will become 11 - 2(4) = 3 and 14 inch side will become 14 - 2(4) = 6. Height is 4. So Volume would be 3 * 6 * 4 = 72
Hence, the greatest volume is when we cut 2 inch side square.
The answer is 2in hope this helps
If the perimeter of this quadrilateral (2ft 13ft 15in this is the quadrilateral) is 79 inches, what is the measure of the missing side length in inches?
77 in
52 in.
28 in.
27 in.
Answer:
The missing side length is 27 in
Step-by-step explanation:
see the attached figure
we know that
1 ft= 12 in
step 1
Convert ft to in
2 ft=2*12=24 in
Note ----> the given measure is 13 in instead of 13 ft
step 2
Find the missing side length
The perimeter of a quadrilateral is the sum of its four side lengths
Let
x------> the missing side length
P=x+24+13+15
P=79 in
so
79=x+24+13+15
x=79-52=27 in
The missing side length is 27 in
Answer:
27 in
Step-by-step explanation:
PLEASE HELPPPP!!!!
given f (x)= -5x+1. what is f (-3)
Answer:
16
Step-by-step explanation:
f (x)= -5x+1.
Let x = -3
f(-3) = -5(-3) +1
=15 +1
= 16
Answer:
f(- 3) = 16
Step-by-step explanation:
To evaluate f(- 3) substitute x = - 3 into f(x)
f(- 3) = ( - 5 × - 3) + 1 = 15 + 1 = 16
rational numbers to -17/10
Answer:
-17/10 is 1.7 is a rational number
Step-by-step explanation:
In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. ... Moreover, any repeating or terminating decimal represents a rational number.
Rational numbers are numbers that can be expressed as a fraction with an integer numerator and denominator, where the denominator isn't zero. -17/10 is a rational number because it fits this definition, as -17 is the integer numerator and 10 is the integer denominator.
Explanation:The number -17/10 refers to a specific type of number known as a rational number. Rational numbers are numbers that can be written as a fraction where both numerator and denominator are integers and the denominator is not zero. Therefore, -17/10 is indeed a rational number because it can be expressed as a fraction as the definition suggests. The numerator is -17 and the denominator is 10, both of which are integers and the denominator is not zero. Thus, when dealing with content-loaded rational numbers like -17/10, you can be confident that you are indeed working with a rational number.
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Find the area of the circle r=6ft
[tex]\text{Hey there!}[/tex]
[tex]\text{Find the area of the circle}[/tex]
[tex]\text{r = 6ft}[/tex]
[tex]\text{Use the pi formula to find it\ } (\bf{\pi})[/tex]
[tex]\text{Pi equals 3.14}[/tex]
[tex]\text{A =\ }\pi r^2 \approx \text{3.14}\times (6)^2[/tex]
[tex]\text{6}^2 =6\times6=36[/tex][tex]\text{3.14}\times\text{36 = 113.04}[/tex]
[tex]\approx\text{Which is rounded to 113}[/tex]
[tex]\boxed{\boxed{\text{Answer: A. 113.04 ft}^2}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
51000 decreased by 6.4%
Answer:
47736
Step-by-step explanation:
First, subtract 0.064 from 1.000. You should get 0.936.
Second, multiply 51000 by this 0.936:
0.936(51000) = 47736
51000 decreased by 6.4% is 47736.
To find 6.4% of 51000 and then subtract that value from 51000, follow these steps:
First, calculate 6.4% of 51000.
This can be done by converting the percentage to a decimal and then multiplying:
6.4% = 0.064
0.064 × 51000
= 3264
Next, subtract this value from the original number:
51000 - 3264
= 47736
So, 51000 decreased by 6.4% is 47736.
Complete question:
What is the value of 51000 decreased by 6.4%?
What percentage of boys can cycle give your answer rounded to 1 DP??????
Answer:
try and plug in number like 15 like and then find the answer that makes the 125
Step-by-step explanation:
Answer:
28/66 or 0.42 or 42%
Step-by-step explanation:
first find a
66-38=a
a=28
What are the slope and the y-intercept of a linear function that is represented by the table
Answer:
i think its the first one but i'm not sure
Step-by-step explanation:
Answer: The slope is [tex]\frac{-2}{5}[/tex] and the y-intercept is [tex]\frac{-1}{3}[/tex]
Step-by-step explanation:
We know that the intercept form of a linear function is given by :-
[tex]y=mx+c[/tex], where m is the slope of the line and c is the y intercept point.
The slope of a function is given by :-
[tex]m=\dfrac{\text{change in y}}{\text{change in x}}\\\\\\\Rightarrow\ m=\dfrac{\frac{-2}{15}-\frac{-1}{30}}{\frac{-1}{2}-\frac{-3}{4}}\\\\\\\Rightarrow\ m=\dfrac{\frac{-3}{30}}{\frac{1}{4}}=\dfrac{-2}{5}[/tex]
Put the value of m in the general intercept equation , we get
[tex]y=\frac{-2}{5}x+c[/tex]
Put [tex]x=\frac{-1}{2}[/tex] and [tex]y=\frac{-2}{15}[/tex] in it , we get
[tex]\frac{-2}{15}=\frac{-2}{5}\times \frac{-1}{2}+c\\\\\Rightarrow\ c=\frac{-2}{15}\times\frac{5}{1}=\frac{-1}{3}[/tex]
Hence, The slope is [tex]\frac{-2}{5}[/tex] and the y-intercept is [tex]\frac{-1}{3}[/tex]
Surface area of prisms and cylinders
Answer:
12. 785.375 in^2
13. 20.666 in.
14. 9cm
Step-by-step explanation:
12. The surface area of a cylinder is given by the surface area of each end plus the surface area of the side:
Surface area = 2 π r^2 + 2 π r h
we know that r = diameter / 2 = 10in/2 = 5in
height = 20 in
Then:
Surface area = 2 π r^2 + 2 π r h = 2 π (5in)^2 + 2 π (5in) (20in) = 785.375 in^2
13. A rectangular prism has 2 ends and 4 sides. Opposite sides have the same area. The surface area is the sum of the areas of all six sides. Then we have:
Area=2b+ph
where:
b= area of a base = 6 in^2
p= perimeter of a base = 18 in
h= height of the prism
Area = 384 sqrt units
Solving for "h" we have:
Area=2b+ph -> h = (area - 2b)/p = 20.666 in
Then: Area= 20.666 in.
14. We know that the surface area of a cylinder is:
Surface area = 2 π r^2 + 2 π r h
Solving for "h" we have:
h = (Surface area - 2 π r^2)/ 2 π r
Where r = 4cm
Surface area = 326.73 cm^2
h = (Surface area-2πr^2)/2πr=(326.73 cm^2-2π(4cm)^2)/2π(4cm) = 9cm
h =9cm
For the following question, find the surface area of the regular pyramid shown to the nearest whole number
Answer:
72 ft
Step-by-step explanation:
4 x 4 = 16 ft
4 x 7 = 28
28/2 = 14
14 x 4 = 56 ft
56 + 16 = 72 ft
Does each set of side lengths form a right triangle?
Answer: Read the explanation
Step-by-step explanation: (27+32)^2 does NOT equal 45^2, which means its not a right triangle.
(9+40)^2 DOES equals 41^2. Therefor making it a right triangle
Answer:
27ft, 32ft, 45ft : Not a Right triangle
9ft, 40ft,41ft: Right triangle
Step-by-step explanation:
45^2 (?) 27^2 + 32^2
2025 (?) 729 + 1024
2025 ≠ 1753; Not a Right triangle
41^2 (?) 9^2 + 40^2
1681 (?) = 81 + 1600
1681 = 1681 ; Right triangle
if the apothem is 13 square root 3 ft what is the area of the hexagon
Answer:
The area of the hexagon is [tex]1,014\sqrt{3}\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The area of a regular hexagon is equal to
[tex]A=\frac{1}{2}Pa[/tex]
where
P is the perimeter
a is the apothem
Find the length side of the hexagon
Let
b-----> the length side of the hexagon
Remember that
The formula to calculate the length side given the apothem is equal to
[tex]b=\frac{2a}{\sqrt{3}}[/tex]
we have
[tex]a=13\sqrt{3}\ ft[/tex]
substitute
[tex]b=\frac{2(13\sqrt{3})}{\sqrt{3}}[/tex]
[tex]b=26\ ft[/tex]
Find the perimeter P
[tex]P=6b=6(26)=156\ ft[/tex]
Find the area of the hexagon
[tex]A=\frac{1}{2}(156)(13\sqrt{3})=1,014\sqrt{3}\ ft^{2}[/tex]
New coordinates are A(1,-2) b(4,6) and c(-2,3
Answer:
What do you mean "new coordinates"?
Step-by-step explanation:
Sorry just confused.
Which set of side length form a right triangle?
A) 3ft, 5ft, 6ft
B) 15ft, 39ft, 36ft
C) 7ft, 10ft, 26ft
D) 12ft, 13ft, 14ft
Please explain when you answer
B. 15ft, 36ft, 39ft
use pythagorean theorem
a²+b²=c²
225+1296=1521
steps to sloving -2(x+3)=-10
Answer:
x = 2Step-by-step explanation:
[tex]-2(x+3)=-10[/tex] divide both sides by (-2)
[tex]\dfrac{-2(x+3)}{-2}=\dfrac{-10}{-2}[/tex]
[tex]x+3=5[/tex] subtract 3 from both sides
[tex]x+3-3=5-3[/tex]
[tex]x=2[/tex]
Answer:
x = 2
Step-by-step explanation:
It is given an expression with variable x
-2(x + 3) = -10
To find the steps to solving expression
Le expression be,
-2(x + 3) = -10
-2x + (-2 * 3) = -10
-2x - 6 = -10
-2x = -10 + 6
-2x = -4
2x = 4
x = 4/2 = 2
Therefore x = 2
how do you find the mean, median and range
for mean you add every number and divide it by the amount of numbers in the data set
for median you put the numbers in order and find the middle number, if there is no middle get the mean for the two middle numbers
range is basically the lowest and highest number
Answer:
Mean= Average
Median= Middle number after numbers are lined up in order
Mode= Repeated Number
Step-by-step explanation:
Answer Please!!!!!!!!!!!!!!!!!!!!!!!
Answer:
8/15 square inches
Step-by-step explanation:
Just multiply the 2 fractions to get the area.
A=L*W
A=area
L=length
W=width
jerone has 2 ps4 and 3 xbox . a ps4 has 200 gigabytes and an xbox has 300. How many gigabytes of ram do each console have together
Answer:
500?
Step-by-step explaination
Wait don't you just add 200 and 300? Or is there some special equation for finding out gigabytes??
500 gigs.
Just add 200 + 300.
(I hope this question isn’t serious..)
how much more is 1.8 • 10^11 greater than 7.2 • 10^10
Answer:
1.8.10=1.80000000000
7.2.10=7.2000000000
Step-by-step explanation:
[tex]To find out how much 1.8 * 10^11 is greater than 7.2 * 10^10, you can subtract the two values:(1.8 * 10^11) - (7.2 * 10^10)To simplify this expression, you need to have the exponents match. You can do this by rewriting 7.2 * 10^10 as 0.72 * 10^11:(1.8 * 10^11) - (0.72 * 10^11)Now, subtract the coefficients:(1.8 - 0.72) * 10^11Calculate the subtraction:1.08 * 10^11So, 1.8 * 10^11 is 1.08 * 10^11 greater than 7.2 * 10^10[/tex]
Help pleaseeeeeeeeeeeeeeeeeee
The first equation
6x^2 -18x-24=0
-the graph opens up
6(x^2 -3x -4)=0
6(x^2 -3x +9/4-4-9/4)=0
6(x-3/2)-25x6/4=
6(x-3/2)-75/2
-Vertex is at (3/2, -75/2)
-Axis of symmetry is x=3/2
Second equation
3r^2 -16r -12=0
-the graph opens up
...
Order of operations
4^2×2^3-(14-16)÷2
Answer:
129Step-by-step explanation:
Use PEMDAS:
P Parentheses first
E Exponents
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
[tex]4^2\times2^3-(14-16)\div2\\\\=16\times8-(-2)\div2\\\\=128+2\div2\\\\=128+1\\\\=129[/tex]
HELP ME WITH THIS 60 POINTS,5-STAR RATING, AN THANKS AND MARKED AS BRANLIEST.
Answer:
30.) B
I wasn't able to figure 29 out as some of the tables are cut off.
Hope this helps you out!