Answer:
Step-by-step explanation:
Use PEDMAS
(3 + 4) - 4/42 + 3(4 +2)/3 = 7 - [tex]\frac{4}{42}[/tex] + 3 * [tex]\frac{6}{3}[/tex] {Inside parenthesis}
= 7 - [tex]\frac{2}{21}[/tex] + 6 {Division}
= 13 - [tex]\frac{2}{21}[/tex]
[tex]=\frac{13*21}{1*21}-\frac{2}{21}\\\\=\frac{273}{21}-\frac{2}{21}\\\\=\frac{271}{21}[/tex]
find sine of angle of inclination to the axis is of line y=1/3x√3+3
Answer:
1/2.
Step-by-step explanation:
The inclination of the line to the x axis = 1/3*√3
= √3/3.
This is the tangent of the angle.
The sine of the angle =√3/hypotenuse.
The hypotenuse = √( √3)^2 + 3^2) (By the Pythagoras theorem)
= √12
= 2√3
Therefore the required sine is √3/ 2√3
= 1/2.
I think that's what you want!!
Find linear models for each set of data. In what year will the two quantities be equal? x y 1970 67.8 1975 69.6 1980 70.5 1985 71.4 1990 72 1995 72.4 2000 74.1
Answer:
The graph solution is defined in the attachment file please find it.
Step-by-step explanation:
The first line equation:
[tex]\to Y= 0.22x + 67.5\\\\[/tex]
The second line equation:
[tex]\to Y= 0.15x + 75.507\\\\[/tex]
Intersection points:
[tex]\to (114.387,92.665)\\\\[/tex]
By adding the value of the first year (1970) into the x-value that is
[tex]\to 114.387+1970=2084.387[/tex]
In circle D, which is a secant?
G
F
С
Н
Оооо
В 12 13
E
В
Answer:
GH
Step-by-step explanation:
A secant is a straight line which cuts the circle at 2 points
GH and FE both do this but FE is a special secant, that is the diameter
Then GH is a secant
Quick! HELP! THANK YOU SO MUCH!
If the difference between the interior and exterior angles of a regular polygon is 100°, how many sides does the polygon have?
Answer:
9 sides
Step-by-step explanation:
Sum of the measures of the interior angle of a polygon with n sides:
(n - 2)180
Measure of 1 interior angle of a regular polygon of n sides:
(n - 2)180/n
Sum of the measures of the exterior angles of a polygon, one per vertex:
360
Measure of 1 exterior angle of a regular polygon of n sides:
360/n
(n - 2)180/n = 360/n + 100
Multiply both sides by n.
(n - 2)180 = 360 + 100n
Distribute on left side.
180n - 360 = 360 + 100n
Subtract 100n from both sides.
80n - 360 = 360
Add 360 to both sides.
80n = 720
Divide both sides by 80.
n = 9
Answer: 9 sides
How do you solve this?
rs/a = k for r
Answer:
Step-by-step explanation:
In [tex]\frac{rs}{a}=k[/tex] begin by multiplying both sides by a to get
rs = ak and divide away the s to get
[tex]r=\frac{ak}{s}[/tex]
HELP PLEASEEEEEEEEEEEEEEEEEEEE
Answer:
3 9/50
Step-by-step explanation:
3.18 is 3 18/100
Simplifying it further you get: 3 9/50
Answer:
3 9/50OAmalOHopeO
b. Compare the similar triangle proof from question 3 with the inscribed square
proof. How are they different? Which method was easier for you to understand?
(1 point)
Answer:
i might be wrong but this is what i put
Step-by-step explanation:
In question 3 it was comparing three triangles where now it is using the triangles to find the area of a square instead of proving that they are the same.
HELP PLEASE THANK YOU SO MUCH BRAIN FOR CORRECT
Answer:
A: Only (2,3)
Step-by-step explanation:
1. 3-3 = 5(2-2) WORKS! (2,3)
2. 2-3 = 5(3-2) Does not work :(
Answer:
Only A
Step-by-step explanation:
If you plug in x or y into the equation, only (2, 3) works
The exchange rate for converting US dollars to Chinese yuan is $6.11 how much is US$600 worth in China
Answer:
96 yuan
Step-by-step explanation:
We know how much one yuan is, so we can convert that to $1, Then multiply by 600. To find a USD, we need to divide the yuan by the dollar.
[tex]1/6.11=0.16[/tex]
Now we have a full dollar, and we need to multiply the yuan by 600 to get our 600 dollar value.
[tex]0.16*600=96[/tex]
SOMEONE PLEASEEE HELP MEEE OUTTTT!!!
Answer:
cos x= 11/19
x=54.62
Step-by-step explanation:
use cosine to find the angle
can i get the answer quick
Answer:
p^3 - 7p^2q^2 + 2pq
Step-by-step explanation:
3pq +5p^2q^2 + p^3 = p^3 + 5p^2q^2 + 3pq
Let the number be x.
x + p^3 + 5p^2q^2 + 3pq + p^3 - pq
= 3p^3 - 2p^2q^2 + 4pq
x + p^3 + p^3 + 5p^2q^2 + 3pq - pq
= 3p^3 - 2p^2q^2 + 4pq
x + 2p^3 + 5p^2a^2 + 2pq
= 3p^3 - 2p^2q^2 + 4pq
x
= 3p^3 - 2p^2q^2 + 4pq - (2p^3 + 5p^2q^2 + 2pq)
= 3p^3 - 2p^2q^2 + 4pq - 2p^3 - 5p^2q^2 - 2pq
= 3p^3 - 2p^3 - 2p^2q^2 - 5p^2q^2 + 4pq - 2pq
= p^3 - 7p^2q^2 + 2pq
Therefore,
p^3 - 7p^2q^2 + 2pq should be added.
Justin packed two suitcases for his trip and compared the weights of the items he packed in each of the suitcase.
Answer:
I am currently taking a unit test and I just got this question. I believe it is the answer but I haven't submitted yet.
Step-by-step explanation:
The answer I chose seems to be the only logical answer.
This Venn diagram shows the pizza topping preferences for 9 students.
What elements are in A and B?
(Look at picture)
Answer:
I think the answer is C.
A soccer field is a rectangle 80 meters wide and 100 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?
Answer:
128.06
Step-by-step explanation:
think about the diagonal of the field, breaking up a rectangle into 2 right angled triangles. we are already given the legs of the triangle (80, and 100) and now we have to solve for the hypotenuse (or the diagonal). so use pythagorean theorem :
80^2 + 100^2 = c^2
16400 = c^2
c = 128.06
I got H / 75 but I might be wrong any confirmation
Answer:
30
Step-by-step explanation:
Angle PNM = 180-105
= 75
IF PM = PN then
<PNM = <PMN = 75
<PMN + <PNM + <P = 180 since they form a triangle
75 + 75 + x = 180
150+x = 180
x = 180-150
x = 30
Answer:
<MPN = 40°Step-by-step explanation:
180° - <PNQ = <PNM ( Angles in a straight line )
180° - 105° = 75°
<PMN = < PNM = 75°
<PMN + <PNM + <MPN = 180°
75 ° + 75° + <MPN = 180°
<MPN = 180° - 150°
<MPN = 30°
plzzz helpppp due today
Answer:
3 sqrt(3)
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp side / hyp
sin 60 = ZY / 6
6 sin 60 = ZY
6 (sqrt(3) /2) = ZY
3 sqrt(3) = ZY
HELPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
1/25 of a mile per minute, I think
Step-by-step explanation:
Answer:
1/25
Step-by-step explanation:
V=S:t=1/5÷5=1/5*1/5=1/25
i need help. i don't understand this at all.
Answer:
Step-by-step explanation:
If this is in terms of angles, 4x+6 must be equal to 90 since it is half of the angle produced by a line (180°) So solving for 4x+6=90, x=21
(8) The average daily temperatures in July of some cities in Texas are shown in the table. Which
of the following fiets the cities from greatest temperature to least temperatura
City
Average Daily
Temperature
Austin
84.52F
Dallas
85.9°F
San Antonio
85 F
Fort Worth
85.31°F
a. Dallas, Fort Worth, San Antonio, Austin
b. Austin, Dallas, San Antonio, Fort Worth
c. Austin, San Antonio, Fort Worth, Dallas
d. Dallas, San Antonio, Fort Worth, Austin
Answer:
A.
Step-by-step explanation:
85.9 > 85.31 > 85 > 84.52
Dallas, Fort Worth, San Antonio, Austin
The quadratic formula can be used to solve any quadratic equation in standard form.
True or False
Answer:
True
Step-by-step explanation:
The quadratic formula can be applied to any quadratic equation in the form [tex]ax^2+bx+c=0[/tex] (standard form).
The quadratic formula: [tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
I hope this helps!
Answer:
its true
Step-by-step explanation:
Determine which equations have the same solution set as StartFraction 2 Over 3 EndFraction minus x plus StartFraction 1 Over 6 EndFraction equals 6 x. – x + = 6x by recognizing properties, rather than solving. Check all that apply.
Answer:
A, B, F
Step-by-step explanation:
2/3 - x + 1/6 = 6x
Collect like terms
2/3 + 1/6 = 6x + x
(4+1) / 6 = 7x
5/6 = 7x
x = 5/6 ÷ 7
= 5/6 × 1/7
x = 5/42
a) 4 - 6x + 1 = 36x
4 + 1 = 36x + 6x
5 = 42x
x = 5/42
Equivalent to the last step of the simplification above
b) 5/6 - x = 6x
5/6 = 6x + x
5/6 = 7x
This is equivalent to the third step of the simplification
c) 4 - x + 1 = 6x
4 + 1 = 6x + x
5 = 7x
x = 5/7
Not equivalent to any of the steps in the simplification above
d) 5/6 + x = 6x
5/6 = 6x - x
5/6 = 5x
x = 5/6 ÷ 5
= 5/6 × 1/5
x = 5/30
Not equivalent to any of the steps in the simplification above
e) 5 = 30x
x = 5/30
Not equivalent to any of the steps in the simplification above
f) 5 = 42x
x = 5/42
Equivalent to the last step of the simplification above
The sum of a number and 5 decreased by twice the number.
Answer:
-x+5
hope this help!!!
Step-by-step explanation:
Given P(B | A)=0.75, P(A ∩ B)=0.15, P(B’)=0.7, find P(A ∪ B)
By definition of conditional probability,
P(B | A) = P(A ∩ B) / P(A)
==> P(A) = P(A ∩ B) / P(B | A) = 0.15/0.75 = 0.2
By definition of complement,
P(B') = 1 - P(B)
==> P(B) = 1 - P(B') = 1 - 0.7 = 0.3
Now by the inclusion/exlcusion principle, we have
P(A U B) = P(A) + P(B) - P(A ∩ B)
==> P(A U B) = 0.2 + 0.3 - 0.15 = 0.35
In a group of 120 people, 90 play volleyball, 72 play football and 1o play neither of games. Find the number of people who play volleyball as well as football. Construct Venn-diagram to represent the given information.
Answer:
Step-by-step explanation:
10 people don’t play volleyball 120-10=110 110 play one or both games 90+72 =162 which is > 110 by 52
There are 52 people who play volleyball as well as football.
The Inclusion Exclusion PrincipleLet A, B be two different sets the,
n (A ∪ B) = n (A) + n (B) − n (A ∩ B) .
What is Venn diagram?
"A Venn diagram is a diagram that uses overlapping shapes to illustrate the logical relationships between two or more sets."
For given situation:
Let set A: People playing volleyball
set B: People playing football
⇒ n(A) = 90
⇒ n(B) = 72
Given group is of 120 people.
10 people play neither of games.
This means, only 110 people play football or volleyball or both.
⇒ n(A ∪ B) = 110
Using the Inclusion Exclusion Principle,
n (A ∪ B) = n (A) + n (B) − n (A ∩ B)
⇒ 110 = 90 + 72 - n (A ∩ B)
⇒ n(A ∩ B) = 52
Therefore, 52 people play volleyball as well as football.
Venn-diagram for given information is as shown below.
Learn more about Venn diagram here:
https://brainly.com/question/14344003
#SPJ2
which expression is in the simplest form of 4x^3+x^2+2(x^3-3x^2)
a. 4x^3-6x^2
b. 6x^3-6x^2
c. 2x^3-6x^2
d. 6x^3-5x^2
Answer:
It's D. 6x^3-5x^2
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
4x^3+x^2+2(x^3-3x^2)
4x^3 + x^2 + 2x^3 -6x^2 (Distributed 2 through the parenthesis)
= 6x^3 -5x^2
Answered by Gauthmath
Simplify each of the following:
a) root25 + root50 - root24 + root49
b) root2(2root8 – 3root32 + 4roor50)
Show your work
Answer:
a)
√25 + √50 - √24 + √49 =5 + 5√2 - 2√6 + 7 = 12 + 5√2 - 2√6b)
√2(2√8 – 3√32 + 4√50) =2√16 - 3√64 + 4√100 = 2*4 - 3*8 + 4*10 = 8 - 24 + 40 = 24Answer:
a.) 12 + 5√2 - 2√6
b.) 24
Step-by-step explanation:
a) √25 + √50 - √24 + √49
√25 + √50 - √24 + √49Calculate the square root .
5 + √50 - √24 + 7Simplify the radical expression.
5 + 5√2 - 2√6 + 7Combine like terms.
5 + 7 + 5√2 - 2√6 12 + 5√2 - 2√6b.) √2 ( 2√8 - 3√32 + 4√50 )
√2 ( 2√8 - 3√32 + 4√50 )Simplify the radical expression.
√2 ( 4√2 - 3 × 2²√2 + 20√2)Evaluate the power.
√2 ( 4√2 - 3 × 4√2 + 20√2)Calculate the products.
√2 ( 4√2 -12√2 + 20√2)Combine like terms.
√2 × (4 - 12 + 20 )√2√2 × 12 √ 2Multiply.
2 × 12 24pls help i need both blanks the options for the second one is left, right, up, down PLS HURRY ITS TIMED!!
Answer:
The graph is shifted 7 units right and 5 units up.
Someone please help me I got those three red boxes incorrect so many times
Hi there!
-10-2 is equal to -12, not -8. This changes everything.
The fraction would be -12/16, which simplifies to -3/4.
I hope this helps!
Answer:
1st red box:
-10 - 2 = -12
2nd box above:
-3
3rd box:
4
what is the length of de
Answer:
x = 6
Step-by-step explanation:
Since <F = <F, this shows that the triangles are similar. Therefore:
XZ/DF = XY/DE
12/8 = 9/X
Cross multiply
12X = 9*8
12X = 72
X = 72/12
X = 6
Hence the value of x is 6
What point lies on the line with point slope equation y-3=4(x+7)?
Answer:
(-7, 3)
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Identify
y - 3 = 4(x + 7)
↓ Compare to Point-Slope Form
Point (-7, 3)
Slope m = 4
