Answer:
(2,6)
Step-by-step explanation:
x+2y = 14
y = x+4
Substitute x+4 into the first equation for y
x+2(x+4) = 14
Distribute
x+2x+8 = 14
3x+8 = 14
Subtract 8 from each side
3x+8-8 = 14-8
3x = 6
Divide by 3
3x/3 = 6/3
x = 2
Now solve for y
y = x+4
y =2+4
y =6
(2,6)
Answer:
D. (2, 6)
Step-by-step explanation:
Put y as x+4 in the first equation and solve for x.
x + 2(x + 4) = 14
x + 2x + 8 = 14
3x = 14 - 8
3x = 6
x = 2
Put x as 2 in the second equation and solve for y.
y = 2 + 4
y = 6
the value of x is and the value of y is
Answer:
x = 60, y = 50
Step-by-step explanation:
60 + 50 = 110 + 70 = 180.
50 + 70 = 120 + 6 = 180.
Therefore 50 + 70 + x = 60
Therefore 70 + 60 + y = 50
Answer:
x = 60°y = 50°Step-by-step explanation:
Angles in a triangle add up to 180 degrees.
x + 70 + 50 = 180
x + 120 = 180
x = 60
The other triangle's missing angle:
180 - 60 - 50 = 70
Angles on a straight line add up to 180 degrees.
70 + x + y = 180
We know the value of x.
70 + 60 + y = 180
Solve for y.
130 + y = 180
y = 180 - 130
y = 50
If you vertically stretch the quadratic parent function, f(x) = 2^x, by a factor of 3, what is the equation of the new function?
If you stretch on the y-axis then you are increasing/decreasing values at a every x.
The new function is therefore:
[tex]g(x)=3\cdot2^x[/tex]
Hope this helps.
Help pls I will give BRAINLY
Answer: The missing length is 16/3
Step-by-step explanation:
First, you have to find the proportional value between the two lengths on the first figure and the two lengths on the second figure.
The first figure’s lengths are 8 and 9, so the shorter length is 8/9 of the longer length.
Now apply the same proportional value to the second figure.
6 * 8/9 = 48/9
48/9 = 16/3
Which figures have more than one base? Select three options.
O cone
cylinder
rectangular prism
rectangular pyramid
triangular prism
Answer:
cylinderrectangular prismtriangular prismStep-by-step explanation:
The figures that come to a point (cone, pyramid) only have one base. The others have two:
cylinder
rectangular prism
triangular prism
Answer:
B-cylinder
C-rectangular prism
E-triangular prism
Step-by-step explanation:
Got it right on edge unit test
Can I get help with this problem?
Answer:
area of sector:
[tex] \frac{theta}{360} \times \pi \: {r}^{2} [/tex]
[tex] \frac{165}{360} \times \frac{22}{7} ( {8}^{2} )[/tex]
[tex] \frac{11}{24} \times \frac{1408}{7} [/tex]
[tex] \frac{1936}{21} [/tex]
[tex]92.19 \: {in}^{2} [/tex]
Answer:
the area of the sector can be rounded to [tex]92.2\,\,in^2[/tex]
Step-by-step explanation:
Use the fraction of the area of the circle associated with the red sector. Use a proportion to find the appropriate fraction knowing that a full circle [tex](360^o)[/tex] corresponds to the area:
[tex]Area=\pi\,R^2=\pi\, (8\,in)^2= 64\, \pi\,\,in^2[/tex]
then the proportion goes like:
[tex]\frac{64\,\pi\,\,in^2}{360^o} =\frac{sector}{165^o} \\ sector=\frac{64\,\pi\,165^o}{360^o}\,\,in^2\\sector\approx 92.15\,\,in^2[/tex]
Therefore, the area of the sector can be rounded to [tex]92.2\,\,in^2[/tex]
prove the following identity: sec x csc x(tan x + cot x) = 2+tan^2 x + cot^2 x please provide a proof in some shape form or fashion :/
Answer:
Step-by-step explanation:
Hello,
Is this equality true ?
sec x csc x(tan x + cot x) = 2+tan^2 x + cot^2 x
1. let 's estimate the left part of the equation
[tex]sec(x)csc(x)(tan(x) + cot(x)) =\dfrac{1}{cos(x)sin(x)}*(\dfrac{sin(x)}{cos(x)}+\dfrac{cos(x)}{sin(x)})\\\\=\dfrac{1}{cos(x)sin(x)}*(\dfrac{sin^2(x)+cos^2(x)}{sin(x)cos(x)})\\\\=\dfrac{1}{cos(x)sin(x)}*(\dfrac{1}{sin(x)cos(x)})\\\\\\=\dfrac{1}{cos^2(x)sin^2(x)}[/tex]
1. let 's estimate the right part of the equation
[tex]2+tan^2(x) + cot^2(x)=2+\dfrac{sin^2(x)}{cos^2(x)}+\dfrac{cos^2(x)}{sin^2(x)}\\\\=\dfrac{2cos^2(x)sin^2(x)+cos^4(x)+sin^4(x)}{cos^2(x)sin^2(x)}\\\\=\dfrac{(cos^2(x)+sin^2(x))^2}{cos^2(x)sin^2(x)}\\\\=\dfrac{1^2}{cos^2(x)sin^2(x)}\\\\=\dfrac{1}{cos^2(x)sin^2(x)}[/tex]
This is the same expression
So
sec x csc x(tan x + cot x) = 2+tan^2 x + cot^2 x
hope this helps
What is the measure of angle EFD? 37.5° 45° 47.5° 55°
Answer:
Step-by-step explanation:
Please try reposting with a picture so brainly users can help answer this question :)
The measure of angle < EFD = 47.5 degrees.
Option C is correct.
What is an Arc?An "arc" in mathematics is a straight line that connects two endpoints. An arc is typically one of a circle's parts. In essence, it is a portion of a circle's circumference.
As, we know
The angle that an arc subtends at its centre is double that of its circumference.
In other words, the angle at the centre is twice as large as the angle at the perimeter.
So, <EFD = 95/2
or, <EFD = 47.5 degrees.
Learn more about Arc here:
https://brainly.com/question/18741430
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Help with this plz! Please❤️
Answer:
1) Qs= 24.4 cm
2) Perimeter= 72.8 m
Step-by-step explanation:
1).let qs= qos
Op is the height of the the triangle
Op= ,6.8cm
Angle ops = 180-(90+50)
Angle ops = 180-140
Angle ops = 40
Os/sin ops= op/sin pso
Os/sin 40= 6.8/sin 50
Os = sin 40(6.8)/sin50
Os= 0.6428(6.8)/0.7660
Os= 5.71
Angle oqp = 180-(90+70)
Angle oqp = 180-160.
Angle oqp = 20
Oq/sin qpo = op/sin oqp
Oq/sin 70=6.8/sin 20
Oq= sin70(6.8)/sin20
Oq= 0.9397(6.8)/0.3420
Oq= 18.68
Qs= os +oq
Qs= 5.71+18.68
Qs= 24.39
Qs= 24.4 cm
2). The other angle of the triangle
=180-90-53
= 37
Sin90 = 1
Let the length and breadth be x and y
X /sin 53 = 26
X= 26(sin53)
X= 26(0.7986)
X= 20.7636
Y/sin 37 = 26
Y= 26(0.6018)
Y= 15.6468
Perimeter= 2(x+y).
Perimeter= 2( 20.7636+15.6468)
Perimeter= 2(36.4104)
Perimeter= 72.8208 m
Perimeter= 72.8 m
Hiiii someone please help me I'm confused please helppp
If the length of the bases of right triangle GHI are 9 units and 15 units respectively, what is the length of the hypotenuse of GHI?
Answer:
17.5 units
Step-by-step explanation:
a² + b²= c²
9² + 15² = c²
81 + 225 = c²
c² = 306
c = √306
c = 17.5
-5(p+3/5)=-4 solve for p
Answer:
p=1/5
remove brackets
-5p-3=-4
move constant to right
-5p=-4+3
-5p=-1
divide both sides by -5
p=1/5
Answer:
1/5
Step-by-step explanation:
We can use solving for variables here.
-5(p+3/5)=-4
-5p+-3=-4
p=1/5
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Hello!
Answer:
(x + 1).
Step-by-step explanation:
Begin by using the rational root theorem to find possible factors of this equation.
We get the following:
±1, ±3, ±1/2, ± 3/2
We can use synthetic division to check numbers to see if they are a factor of the equation. After checking the possible numbers, -1 was found to produce a remainder of 0 when calculated:
-1 | 2 1 -4 -3
+ -2 1 3
2 -1 -3 0
Therefore, x = -1 is a possible root of this equation. Writing this as a factor would become:
x = -1
x + 1 = 0
(x + 1) is the factor.
I hope this helped you!
ABCDEFGHI is a regular 9-sided polygon.
B
Diagram NOT
accurately drawn
H
o
G
D
F
E
The vertices B and E are joined with a straight line.
Work out the size of angle BEF.
(4 marks)
angle BEF
Answer:
angle BEF = 100 degrees
Step-by-step explanation:
For a regular 9-sided polygon (nonagon),
each exterior angle = 360/9=40 degrees
each interior angle = 180-40 = 140 degrees.
Referring to diagram, in the trapezoid (trapezium) BCDE, the base angles are 180-140 = 40 degrees.
Therefore angle DEB = 40 degrees
that leaves BEF = 140-40 = 100 degrees
Suppose N coins lie heads up on a table. In one turn, you can turn over any (N−1) coins. Is it possible that N coins could lay tails up in any number of turns, if a N=15 ?
Answer:
The answer is no
Step-by-step explanation:
no
Marcel used the multiplication table below to determine that 72:24 is equivalent to 6:18. A multiplication table. In the row labeled 3, the numbers 3, 6, 9, 12, 15, 18, 21, 23, and 27 are highlighted. In the row labeled 9, the numbers 9, 18, 27, 36, 45, 54, 63, 72, and 81 are highlighted. What was Marcel’s error? Marcel did not look at the correct rows in highlighted columns. Marcel did not choose numbers from the highlighted columns. Marcel did not put the first and second terms in the same order. Marcel did not use numbers from the same row to create each ratio.
Answer:
The correct option is;
Marcel did not put the first and second term in the same order
Step-by-step explanation:
From the multiplication table the equivalent ratios of two numbers can be found given that the two numbers have the same factors which is true if the numbers are on the same column in the multiplication table
Therefore, having the numbers ratio presented in the form 72:24 which are on the row labelled 3 and the row labelled 9, we have that the 72 is on row 9 while the 24 is on row 3, for which on the second column, we have 6:18
However the ordering of the ratio gives the value on the 9th column first before the value on the 3rd column, so that the correct result should be 18:6
The error was that Marcel did not put the first and second term in the same order.
Answer:
C
Step-by-step explanation:
(ii) The scale 1 cm represents 50m can be written in the form 1:k.
Find the value of k.
k=
[1]
Answer:
k = 50
Step-by-step explanation:
The scale 1 cm represents 50m
It means that 1 cm length of pictorial representation of any obejct is equivalent to 50m in reality.
In scale terms it can be represented in ratio form of a:b
where
a is the length of picture and b is actual length
here length of pictorial representation is 1 cm
and 50m is actual length
thus scale will be 1:50
But is given that The scale 1 cm represents 50m can be written in the form 1:k.
1:50 is same as 1:k
thus
1:50 = 1:k
we know that in ratio
if a:b = c:d
then
a= c and b = d
Thus,
k = 50 Answer
While watching a football game, Jeevan decided to list yardage gained as positive integers and yardage lost as negative integers. After these plays, Jeevan recorded 14, –7, and 9. What was the net gain or loss?
Answer:
It was a gain, specifically 16
Step-by-step explanation:
14 + (-7) = 7
7 + 9 = 16
Please tell me if I'm wrong.
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Find the following expression by multiplying.
(a + b)3
Answer:
[tex]a^3+3a^2b+3ab^2+b^3[/tex]
Step-by-step explanation:
If have [tex](a+b)^3[/tex], we can solve this as:
[tex](a+b)(a+b)(a+b)[/tex]
So, applying distribution with the first two factors and simplifying, we get:
[tex](a^2+ba+ab+b^2)(a+b)\\(a^2+2ab+b^2)(a+b)[/tex]
Then, multiplying both expressions and simplifying again, we get:
[tex]a^3+a^2b+2a^2b+2ab^2+b^2a+b^3\\a^3+3a^2b+3ab^2+b^3[/tex]
not sure what to do here
Answer:
P(-2 ≤ x ≤ 2) = .6
Step-by-step explanation:
Given
The data in the above table
Required
Find P(-2 ≤ x ≤ 2)
To solve for P(-2 ≤ x ≤ 2); we have to consider the boundary covered by the interval
The interval -2 ≤ x ≤ 2 according to the table is -2 , 0 and 2
Solving further;
P(-2 ≤ x ≤ 2) = P(-2) + P(0) + P(2) ----- (1)
From the table;
P(-2) = .33
P(0) = .16
P(2) = .11
Substitute these values in (1) above
P(-2 ≤ x ≤ 2) = P(-2) + P(0) + P(2) becomes
P(-2 ≤ x ≤ 2) = .33 + .16 + .11
P(-2 ≤ x ≤ 2) = .6
Simplify expression 1/4 •3(8a-5b-4)-(4a+1)+4b
Answer:
(8a+b-16)/4
Step-by-step explanation:
1/4×3(8a-5b-4)-(4a+1)+4b
Simplify:
-4a-1+4b+1/4×3×8a-1/4×3×5b-1/4×3×4
=1/4xax24-4a-1/4bx15+4b-1/4×12-1
=1ax24/4 -4a - 1bx15/4 +4b -1×12/4 -1
=ax24/4 -4a -bx15/4 + 4b -12/4 -1
= -4a + 24a/4 + 4b - 15b/4 -1 -3
= -4a + 6a + 4b - 15b/4 - 4
= 2a + 4b - 15b/4 - 4
= 8a + 16b - 15b - 16 / 4
= (8a + b - 16) / 4
= 8a + b - 16 / 4
I NEED HELP ASAP!!! LIKE RIGHT NOW RIGHT NOW ILL GIVE THE MOST BRAINLIEST
Answer:
see below
Step-by-step explanation:
We know that the center is (0,0) and the radius is |3 - 0| = 3.
Standard form of a circle: (x - h)² + (y - k)² = r² where (h, k) is the center and r is the radius. Plugging in h = 0, k = 0 and r = 3 gives us x² + y² = 9.
Answer:
See below.
Step-by-step explanation:
The equation for a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h,k) is the center and r is the radius.
From the graph, we can see that (0,0) is the center.
Thus, h=0 and k=0:
[tex]x^2+y^2=r^2[/tex]
From the graph, we can also see that the radius is 3 as (-3,0) and (3,0) are points on the circle.
Thus, r=3, and r^2=9.
The equation is:
[tex]x^2+y^2=9[/tex]
What is the solution to the equation? 98 + g = 150 98 + g = 150. 98 + 98 + g = 150 minus 98. t = 52. 98 + g = 150. 98 minus 98 + g = 150 minus 98. t = 52. 98 + g = 150. 98 + 98 + g = 150 + 98. t = 52. 98 + g = 150. 98 minus 98 + g = 150 + 98. t = 148.
Answer:
The solution to the question is g = 52
Step-by-step explanation:
Here, we want to find the solution to the equation ;
98 + g = 150
Apparently, we want to find the value of g.
To get the value of g, what we simply need is to bring 98 over the equal sign and this gives
g = 150-98
g = 52
Answer: B or how some people say it the second question. EDGE-MATHMATICS 2022
THE ANSWER IS B
step-by-step explanation: it is the second option because when you find out what number g is (52) you can take 98-98= 0 + g/52 and get 52.
and then the second part of it says 150-98 which is 52! so your answer is B hope this helps! have a wonderful day!
the length of rectangle exceeds its breadth by 4 cm if the length and breadth is increased by 3 cm the area of the new rectangle will be 81 squares more than that of the given rectangle find the length and breadth of the given rectangle check your solution.
Answer:
The length and breadth are 14 cm and 10 cm
The graph of y=h(x)y=h(x)y, equals, h, left parenthesis, x, right parenthesis is a line segment joining the points (1,9)(1,9)left parenthesis, 1, comma, 9, right parenthesis and (3,2)(3,2)left parenthesis, 3, comma, 2, right parenthesis. Drag the endpoints of the segment below to graph y=h^{-1}(x)y=h −1 (x)y, equals, h, start superscript, minus, 1, end superscript, left parenthesis, x, right parenthesis.
Answer:
End points of the this segment are (9,1) and (2,3).
Step-by-step explanation:
The given function is
[tex]y=h(x)[/tex]
End points of the this segment are (1,9) and (3,2).
If a function is defined as
[tex]f=\{(a,b),a\in R,b\in R\}[/tex] then
[tex]f^{-1}=\{(b,a),a\in R,b\in R\}[/tex]
It means, we have to interchange x and y-coordinates of the end points.
So, end points of the this segment are (9,1) and (2,3).
Plot these point and join them by a line segment.
The inverse of the function will be a line segment joining the points (9,1) and (2,3). See the graph.
Given information:
The function y=h(x) is a line segment joining the points (1,9) and (3,2).
So, the endpoints of the function y=h(x) can be written as,
[tex]y=h(x)=\{(1,9),(3,2)\}[/tex]
The inverse of a function is simply the opposite relation. In the inverse, the range and domain interchange themselves.
So, the inverse of the given function can be written as,
[tex]y=h^{-1}(x)=\{(9,1),(2,3)\}[/tex]
Refer to the graph of the function for more details.
For more details, refer to the link:
https://brainly.com/question/10300045
A survey of 900 randomly selected high school students determined that 422 play organized sports. (a) What is the probability that a randomly selected high school student plays organized sports? (b) Interpret this probability.
Answer:
P = 0.4688 = 46.88%
The probability that a randomly selected high school student plays organized sports is 0.4688.
Step-by-step explanation:
We are given that a survey of 900 randomly selected high school students determined that 422 play organized sports.
(a) What is the probability that a randomly selected high school student plays organized sports?
We know that the probability of an event is given by
P = Number of desired outcomes/total number of outcomes
For the given case, the desired outcomes are those students who play organized sports and the total number of outcomes are 900 randomly selected high school students who were surveyed.
So the probabilty is
P = 422/900
P = 0.4688
P = 46.88%
(b) Interpret this probability
There is a 46.88% chance of randomly selecting a high school student who plays organized sports or in other words, if we randomly choose a high school student then there is a 46.88% probability that the selected student plays organized sports.
On a map, 1 cm represents 4 km.
The real-life distance between two towns is 28 km.
What is the distance between these two towns on a map?
The conversion rate is 1cm to 4km, or 1:4.
Because we know the conversion rate, we can use this ratio to calculate the map distance.
If the distance between the two towns is 28km, then we can use the conversion rate to calculate the distance on the map.
28 / 4 = 7
Therefore, the distance between the two towns on a map is 7cm.
Hope this helped! :)
Answer:
7 cmStep-by-step explanation:
1cm……..4km
x…………28km
x=28km*1cm/4km
x=7cmFind the value of x in each case:
Answer:
25.5°
Step-by-step explanation:
the sum of angle NMR and MRS is 180, so
2x + x + x + 78 = 180
4x = 180 - 78
4x = 102
x = 102/4 = 25.5°
A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 10 cubic centimeters. Find the radius of the cylinder that produces the minimum surface area. (Round your answer to three decimal places.)
Answer:
1.619
Step-by-step explanation:
We have the formulas for the volume of the sphere and the cylinder:
Vs = (4/3) * pi * (r ^ 3)
Vc = pi * h * (r ^ 2)
Thus:
(4/3) * pi * (r ^ 3) + pi * h * (r ^ 2) = 10
Now, the formula for the surface area of the cylinder and sphere are:
As = 4 * pi * (r ^ 2)
Ac = 2 * pi * r * h + 2 * pi * r ^ 2
Using this equation for the total surface area of the solid, we can see that as "h" increases, so will the surface area. Therefore, the smallest surface area will occur at h = 0.
Thus:
(4/3) * pi * (r ^ 3) + pi * 0 * (r ^ 2) = 10
(4/3) * pi * (r ^ 3) = 10
r ^ 3 = 4 * 10 / (3 * 3.14)
r ^ 3 = 4.24
r = 1.619
so the radius is 1.619
The legs of a right triangle are 3 units and 5 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth. 4.00 units 2.83 units 5.83 units 8.00 units
Answer:
5.83units
Step-by-step explanation:
from Pythagoras theorem;
a^2=b^2+c^2
where a is the hypotenuse,b is the opposite and c is the adjacent
b=3 and c=5
a^2=3^2+5^2
a^2=9+25
a^2=34
find the square root of both sides,
√a^2=√34
a=5.83units
Answer:5.83
Step-by-step explanation:
Evaulate 9^sqrt{3} in it to the nearest ten thousandth
Answer:
44.957
Step-by-step explanation:
All we can do is estimate √3 and then exponent 9 by it.
Alternatively, plug it into a calc and calculate.
What is the shape of the cross section of a sphere?
Rectangle
triangle
ellipse
circle
Answer:
the correct answer is circles
Step-by-step explanation:.