Answer:
B
Step-by-step explanation:
A non-proportional linear expression is when it's not going over the origin.
Find the sum of :
3 7
-4- +2
12
Answer:
245 i hope and swer its ok
Step-by-step explanation:
Which of the following could NOT be the measures of the angles of a triangle?
A. 30°-120°-30°
B. 40°-40°-100°
C. 60°-60°-60°
D. 70°-50°-70°
Answer:
D
Step-by-step explanation:
The Triangle Sum theorem states the angles of all triangles will add up to 180.
70 + 50 + 70 = 190. Therefore, this cannot be a triangle.
PLEASE HELP ME THIS IS DUE SOON RJFVRPIVNOIEL
Answer:
you can calculate it like two rectangle volume
how do i make m the subject of this formula.
y=3mt-a^2m
Hector's parents sent 24 text messages last month. This is 16% of the total recorded on the bill. How many total text messages did the family send last month?
Answer:
I cant answer, but I can help, divide 100 by 16, than multiply what you get from that with 24, it'll look like this:
(100÷16)x24=A
A bank offers an annual simple interest rate of 9% on home improvement
loans. Tobias borrowed $20,000 over a period of 4 years. How much did
he repay altogether?
Answer:
Tobias repayed a total of $7,200.
Step-by-step explanation:
If Tobias borrowed $20,000, and the annual interest rate is 9% of this per year, then we need to find 9% of 20,000.
20,000 x 0.09 = 1,800
Therefore, the yearly interest rate is $1,800. Now, we need to multiply this by 4.
1,800 x 4 = 7,200
Therefore, Tobias repayed a total of $7,200.
Hope this helps! :D
Write the standard form of the line that has a slope - 3/4 intercept of -2Include your work in your final answer Type your answer in the box provided or use the upload option to submit your solution
please help asap!!!!!!!!!!!!!!!!!
Help me with questions 7&8 plssssss
^starigjt line equation (SLE)^
how to find slope of line (m)
=y2 - y1/x2 - x1
7. there, (16,2) occupies the x1 (16) and y1 (2) positions.
and, (32,4) occupies the x2 (32) and y2 (4) positions.
ok, enter:
m = y2 - y1/ x2 - x1
=4 - 2 / 32 - 16
=2/16
= 1/88. there, (-2,17) occupies the x1 (-2) and y1 (17) positions.
and, (-1,5) occupies the x2 (-1) and y2 (5) positions.
ok, enter:
m= y2 - y1/ x2 - x1
=5 - 17/ -1 - (-2)
=5 - 17 / -1 + 2
= -12 / 1
= -12FINALLY FOUND, MODERATOR!!![tex]Given \: cotA = \sqrt{\dfrac{1}{3}}[/tex]
Find all other trigonometric ratios.
[tex] \tt cotA = \sqrt{ \dfrac{1}{3}}[/tex]
[tex] \tt \implies cotA = \dfrac{1}{\sqrt{3}}[/tex]
To Find :All other trigonometric ratios, which are :
sinAcosAtanAcosecAsecASolution :Let's make a diagram of right angled triangle ABC.
Now, From point A,
AC = Hypotenuse
BC = Perpendicular
AB = Base
[tex] \tt We \: are \: given, \: cotA = \dfrac{1}{\sqrt{3}}[/tex]
[tex] \tt We \: know \: that \: cot \theta = \dfrac{base}{perpendicular}[/tex]
[tex] \tt \implies \dfrac{base}{perpendicular} = \dfrac{1}{\sqrt{3}}[/tex]
[tex] \tt \implies \dfrac{AB}{BC} = \dfrac{1}{\sqrt{3}}[/tex]
[tex] \tt \implies AB = 1x \: ; \: BC = \sqrt{3}x \: (x \: is \: positive)[/tex]
Now, by Pythagoras' theorem, we have
AC² = AB² + BC²
[tex] \tt \implies AC^{2} = (1x)^{2} + (\sqrt{3}x)^{2}[/tex]
[tex] \tt \implies AC^{2} = 1x^{2} + 3x^{2}[/tex]
[tex] \tt \implies AC^{2} = 4x^{2}[/tex]
[tex] \tt \implies AC = \sqrt{4x^{2}}[/tex]
[tex] \tt \implies AC = 2x[/tex]
Now,
[tex] \tt sin \theta = \dfrac{perpendicular}{hypotenuse}[/tex]
[tex] \tt \implies sinA = \dfrac{BC}{AC} [/tex]
[tex] \tt \implies sinA = \dfrac{\sqrt{3}x}{2x} [/tex]
[tex] \tt \implies sinA = \dfrac{\sqrt{3}}{2} [/tex]
[tex] \Large \boxed{\tt sinA = \dfrac{\sqrt{3}}{2}} [/tex]
[tex] \tt cos \theta = \dfrac{base}{hypotenuse}[/tex]
[tex] \tt \implies cosA = \dfrac{AB}{AC} [/tex]
[tex] \tt \implies cosA = \dfrac{1x}{2x} [/tex]
[tex] \tt \implies cosA = \dfrac{1}{2} [/tex]
[tex] \Large \boxed{\tt cosA = \dfrac{1}{2}} [/tex]
[tex] \tt tan \theta = \dfrac{perpendicular}{base}[/tex]
[tex] \tt \implies tanA = \dfrac{BC}{AB} [/tex]
[tex] \tt \implies tanA = \dfrac{\sqrt{3}x}{1x} [/tex]
[tex] \tt \implies tanA = \sqrt{3}[/tex]
[tex] \Large \boxed{\tt tanA = \sqrt{3}}[/tex]
[tex] \tt cosec \theta = \dfrac{hypotenuse}{perpendicular}[/tex]
[tex] \tt \implies cosecA = \dfrac{AC}{BC} [/tex]
[tex] \tt \implies cosecA = \dfrac{2x}{\sqrt{3}x} [/tex]
[tex] \tt \implies cosecA = \dfrac{2}{\sqrt{3}}[/tex]
[tex] \Large \boxed{\tt cosecA = \dfrac{2}{\sqrt{3}}}[/tex]
[tex] \tt sec \theta = \dfrac{hypotenuse}{base}[/tex]
[tex] \tt \implies secA = \dfrac{AC}{AB} [/tex]
[tex] \tt \implies secA = \dfrac{2x}{1x} [/tex]
[tex] \tt \implies secA = 2[/tex]
[tex] \Large \boxed{\tt secA = 2}[/tex]
[tex]\setlength{\unitlength}{2mm}\begin{picture}(0,0)\thicklines\put(0,0){\line(3,0){2.5cm}}\put(0,0){\line(0,3){2.5cm}}\qbezier(12.4,0)(6.6,5)(0,12.4)\put(-2,13){\sf A}\put(13,-2){\sf C}\put(-2,-2){\sf B}\put(-3,6){\sf 1}\put(6,-3){\sf \sqrt3$}\put(7,7){\sf 2}\end{picture}[/tex]
Solution :-Given ,
cotA = [tex]\sf \sqrt{\dfrac{1}{3}}=\dfrac{1}{\sqrt3}[/tex]We need to find ,
All the trigonometric identitiesFirst finding the other side of the triangle using Pythagoras theorem .
Hypotenuse² = Base² + Height²
[tex]\to\sf Hypotenuse^2 = (1)^2 + (\sqrt3)^2[/tex]
[tex]\to\sf Hypotenuse^2 = 1 + 3 [/tex]
[tex]\to \sf Hypotenuse = \sqrt4[/tex]
[tex]\to\bf Hypotenuse = 2[/tex]
Now ,
[tex]\rm sinA = \dfrac{opposite}{hypotenuse}=\sf\dfrac{\sqrt3}{2}[/tex][tex]\rm cosA = \dfrac{adjacent}{hypotenuse}=\sf\dfrac{1}{2}[/tex][tex]\rm tanA = \dfrac{opposite}{adjacent}=\sf\dfrac{\sqrt3}{1}[/tex][tex]\rm cosecA=\dfrac{hypotenuse}{adjacent}=\sf\dfrac{2}{\sqrt3}[/tex][tex]\rm secA = \dfrac{Hypotenuse}{adjacent}=\sf\dfrac{2}{1}[/tex][tex]\rm cotA = Already\; given =\sf \dfrac{1}{\sqrt3}[/tex]What’s the square root of 36
Answer:
6
Step-by-step explanation:
sqrt(36) = 6
Answer:
1296
Step-by-step explanation:
36 x 36 = 1296
Help me with this question please! I’ll mark you brainlist and give 5 stars for this!
Answer: That is the correct answer
Step-by-step explanation:
for the first one the answer is A. x + 84 = 180
the second one is C. AB/DC = WX/ZY
Simplify the following surd expressions
a) 7/3 - 2/3 + V3 - 3V3
Answer:
[tex]\frac{7}{3}-\frac{2}{3}+\sqrt{3}-3\sqrt{3}=\frac{5}{3}-2\sqrt{3}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{7}{3}\:-\:\frac{2}{3}\:+\:v^3\:-\:3v^3[/tex]
solving the expression
[tex]\frac{7}{3}\:-\:\frac{2}{3}\:+\:\sqrt{3}-3\sqrt{3}[/tex]
combine the fractions i.e [tex]\frac{7}{3}-\frac{2}{3}=\frac{5}{3}[/tex]
[tex]\frac{7}{3}\:-\:\frac{2}{3}\:+\:\sqrt{3}-3\sqrt{3}=\frac{5}{3}+\sqrt{3}-3\sqrt{3}[/tex]
add similar elements i.e [tex]\sqrt{3}-3\sqrt{3}=-2\sqrt{3}[/tex]
[tex]=\frac{5}{3}-2\sqrt{3}[/tex]
Thus,
[tex]\frac{7}{3}-\frac{2}{3}+\sqrt{3}-3\sqrt{3}=\frac{5}{3}-2\sqrt{3}[/tex]
Magical Gizmos has determined that their costs can be modeled by the function C(x) = 2x ^ 2 - 3x + 7 and their sales can be modeled by the function
R(x) = 2x ^ 2 + 7x - 23
Determine the number of gizmos they need to sell in order to Break Even.
Please help :(
invalidated and no score will be calculated for you. ... Utilize the information provided for each question to determine your ... the questions or answers prior to the examination and that you have ... 2 The solution of an equation with two variables, x and y, is ... 11 Which function has the greatest y-intercept?
-5 = w-3 what is w
please help
Answer
w=-2
Step-by-step explanation:
-5=w-3
-5+3=w-3+3
-2=w
plezz give me brainiest
a point in space $(x,y,z)$ is randomly selected so that $-1\le x \le 1$,$-1\le y \le 1$,$-1\le z \le 1$. what is the probability that $x^2 y^2 z^2\le 1$?
Probability that [tex]x^2+y^2+z^2\leq 1[/tex] is 0.523
Given that a point (x, y, z) is in space which is randomly selected as
[tex]-1\le x \le 1$,$-1\le y \le 1$,$-1\le z \le 1$[/tex]
These three equations represents a cube in space.
Length of each side of the cube = 1 - -1 = 2
Now [tex]x^2+y^2+z^2\leq 1[/tex] represents a sphere with center (0, 0, 0) and of radius less than or equal to 1.
So we can imagine that this sphere is inside the cube.
So the probability that [tex]x^2+y^2+z^2\leq 1[/tex] = Volume of the sphere/Volume of the cube
Volume of sphere with radius 1 = [tex]\frac{4}{3} \pi r^3=\frac{4}{3} \pi \times 1 = \frac{4}{3}\times 3.14 = 4.186[/tex] cubic unit
Volume of the cube of length 2 = [tex]2^3 = 8[/tex] cubic units
So the probability that [tex]x^2+y^2+z^2\leq 1[/tex] = 4.186/8 = 0.523
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Find the area of the geometric figure.
Square
6.5
The area of the geometric figure which is the square will be 42.25.
What will be the area of the square?It should be noted that a square simply means a shape that has all its sides equal. It should be noted that the area of a square will be calculated as:
= Side × Side
In this case, the side is given as 6.5. Therefore, it should be noted that the area will be:
Area of a square = Side × Side
= 6.5 × 6.5
= 42.25
Therefore, the area of the geometric figure which is the square will be 42.25.
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PLEASE HELPPPP ASAPPP !! thank you in advance
Answer:
hakdog keep it up po11828282882827272++--yyyxxxxxx
Andre wants to purchase some onions and tomatoes to make tomato soup. The recipe states that four times the number of tomatoes, x , plus five times the number of onions, y, should produce 56 bowls of tomato soup. A different recipe states that two times the number or tomatoes and onions used in the soup when Andre adds the two recipes together?
Answer:
Tomatoes = 11.5
Onions = 2
Step-by-step explanation:
Andre wants to purchase some onions and tomatoes to make tomato soup. The recipe states that four times the number of tomatoes, , plus five times the number of onions, x, should produce 56 bowls of tomato soup. A different recipe states that two times the number of tomatoes used minus the number of onions used should produce 21 bowls of tomato soup. What is the resulting recipe for the number or tomatoes and onions used in the soup when Andre adds the two recipes together?
Let
Tomatoes = x
Onions = y
Recipe 1:
4x + 5y = 56
Recipe 2:
2x - y = 21
4x + 5y = 56 (1)
2x - y = 21 (2)
Multiply (2) by 5
4x + 5y = 56 (1)
10x - 5y = 105 (3)
Add
10x + 4x = 105 + 56
14x = 161
x = 161 / 14
= 11.5
Substitute x =11.5 into
2x - y = 21
2(11.5) - y = 21
23 - y = 21
-y = 21 - 23
-y = -2
y = 2
Tomatoes = 11.5
Onions = 2
Pleaseee helpppp meeee
Answer:
150
Step-by-step explanation:
The question is unclear. Do they want an angle that is under 180 (to your left) or over 180 (to your right)? I'm guessing that it is just under 180.
Each hour on a clock takes up 30 degrees. Each 5 minutes hand sweep out out 5/60 * 360 = 30 degrees as well. This angle looks like it is 5 minutes to seven if it was on a clock.
So the large angle from 12 oclock would sweep out 210 degrees and that would mean that the left angle would be 150. But the time is not quite 7 o,clock.
My guess would be 150. Remember, this is an estimate. You can't use a protractor on the question.
Select True or False for each statement.
True
False
A straight line on a coordinate plane always represents a function
O
The equation y = 2x + 1 represents a function
O
Answer:
1st. false
2nd. true
Step-by-step explanation:
Itll only be considered a function when it passed the vertical line test.
The equation y=2x+1 is a linear function
20. What is the slope-intercept form of the equation of the line with a slope of 1/4 and y-intercept at the origin?
Answer
The slope-intercept form of the equation of the line with a slope of 1/4 and y-intercept at the origin:
[tex]y=\frac{1}{4}x[/tex]
Step-by-step explanation:
Given
The slope = m = 1/4The y-intercept is (0, 0)We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
substituting the values m=1/4 and the y-intercept b=0 to determine the equation in slope-intercept form
[tex]y=mx+b[/tex]
[tex]y=\frac{1}{4}x+0[/tex]
[tex]y=\frac{1}{4}x[/tex]
Thus, the slope-intercept form of the equation of the line with a slope of 1/4 and y-intercept at the origin:
[tex]y=\frac{1}{4}x[/tex]
What is the answer to log(10³x) =?
The value of the logarithmic expression log(10³ x) is 3 + log(x).
The opposite of exponential functions is logarithmic functions. The exponential function y = aˣ has the inverse, [tex]x=a^{y}[/tex]. The exponential equation [tex]x=a^{y}[/tex] is defined as being identical to the logarithmic function y = logₐ x.
The properties of logarithm are:
Product rule: logₐ (mn) = logₐ m + logₐ n
Quotient rule: logₐ (m/n) = logₐ m – logₐ n
Power rule: logₐ (mn) = n( logₐ m )
Consider the logarithmic expression,
a = log ( 10³ x )
Using the property of logarithm:
logₐ ( mn ) = logₐ m + logₐ n
Then,
a = log( 10³ x )
a = log( 10³ × x)
a = log( 10³ ) + log( x )
By using the property of logarithm:
logₐ mⁿ = n( logₐ m )
So,
a = 3( log 10 ) + log( x )
a = 3 + log ( x )
Therefore, log( 10³ x ) = 3 + log ( x ).
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A lady traveled 100 kilometers at a rate of 30 kilometers an hour. If she wants her return trip to be three-fourths of her initial trip, at what rate must she return?
Answer:
Step-by-step explanation:
100/30=3 1/3hrs to go
3 1/3*3/4=
10/3*3/4=30
30/12=2 1/5hrs return
100/2 1/2=
100/(5/2)=
100*2/5=200/5=40
100/2.5=40mph return
David has 84 candy bars to sell. His seven aunts told him they would split the candy bars
between them. How many candy bars will each aunt need to buy for David to sell all of
his candy?
15
12
8
23
Answer:
12
Step-by-step explanation:
What is 2.5x0.012=
(20 POINTS)
Answer: 0.03
Step-by-step explanation:
Answer:
0.03
Step-by-step explanation:
[tex]\frac{25}{10}[/tex]×[tex]\frac{12}{1000}[/tex]=
[tex]\frac{300}{10000}[/tex]=0.03
20 points please help What is the name of the ray shown? A. ga B. ag C. ag D. ga
The name of the ray shown would be: C. ray AG.
What is a Ray?A ray can be defined as a part of a line which has a fixed starting point that is called an endpoint and extends to infinity towards the opposite direction of the fixed point, called the endpoint.
How to name a Ray?The first letter to use when naming a ray is the letter of the endpoint, which is the starting point of the ray, then use another letter that the ray passes through to infinity. There would be only one arrow head facing the right, drawn on top of the letters used in naming the ray.
The image shows an endpoint of A, which marks the starting point. The line extends from G to infinity as well.
Therefore, the name of the ray shown would be: C. ray AG.
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HELP
These triangles
are congruent by
the triangle
congruence
postulate [ ? ).
A. SSS
B. SAS
C. Neither, they are not congruent
Answer:
C
Step-by-step explanation:
Answer:
SSS
Step-by-step explanation:
right on acellus
As a reward for winning a math competition, 26 students in the 7th grade visited a theme park. On one ride, 3 equal groups of students could be seated and 2 students were left over. Write and solve an equation to find how many students could be seated in each group.
Answer: in each group, there are 8 students.
Step-by-step explanation:
We have a total of 26 students.
If we separate them into 3 equal groups (suppose that each group has X students) and leave 2 students left, we will have the relation:
3*X + 2 = 26
This means that 3 times the number of students in each group, plus the two students leftover must be equal to the initial number of students.
Now we can solve this for X.
3*X + 2 = 26
3*X = 26 - 2 = 24
X = 24/3 = 8
X = 8
This means that in each group there are 8 students.
At Charles School, 1/5 of the 75 students in seventh grade play in the jazz band. how many seventh graders play in the jazz band?
Answer:
15
Step-by-step explanation:
15 seventh graders play in the jazz band as per the given ratio.
What is the ratio?One quantity can be expressed as a fraction of other quantities using a ratio, which is a number. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given At Charles School, 1/5 of the 75 students in seventh-grade play in the jazz band.
In the form of a ratio
1/5 the students out of 75 play in the jazz band
Total students play in the jazz band = 75* 1/5
Total students play in the jazz band = 15
Therefore, The jazz band has 15 seventh graders playing according to the ratio.
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