Answer:
100
Step-by-step explanation:
we need to swap sides so we take the 320 and put it in the other side but in negative form and that comes out to 1800 and then we divide that by 18
Answer:
x = 100
Step-by-step explanation:
2120 - 320 = 1800
1800 ÷ 18 = 100
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
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
What is the answer? How to solve?
Answer:
a +73°=90°
a= 90°-73°
a =17°
d+18°=90°
d=90°-18°
d =72 °
help me pleaseeeeeeee!!!!!!!!
Answer:
8
Step-by-step explanation:
Using the chord chord theorem
10(4) = 5x
Solve for x
Simplify multiplication
40 = 5x
Divide both sides by 5
40/5 = 8
5x/5 = x
We're left with x = 8
Note:
Chord chord theorem states that if two chords intersect then the product of the measures of each part of one chord is equal to the product of the measures of the parts of the other chord.
Because the chords shown intersect the product of the parts of each chord should be equal to each other ( 4 * 10 = 5x )
Source: https://www.dummies.com/education/math/geometry/how-to-use-the-chord-chord-power-theorem
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]
please solve this please
Answer:
3
Step-by-step explanation:
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
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
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 24The circle centered at $(2,-1)$ and with radius $4$ intersects the circle centered at $(2,5)$ and with radius $\sqrt{10}$ at two points $A$ and $B$. Find $(AB)^2$.
The first circle has equation
(x - 2)² + (y + 1)² = 4²
and the second has equation
(x - 2)² + (y - 5)² = (√10)²
Solve for (x - 2)² :
(x - 2)² + (y + 1)² = 4² ==> (x - 2)² = 16 - (y + 1)²
(x - 2)² + (y - 5)² = (√10)² ==> (x - 2)² = 10 - (y - 5)²
Then
16 - (y + 1)² = 10 - (y - 5)²
16 - (y ² + 2y + 1) = 10 - (y ² - 10y + 25)
15 - 2y - y ² = -15 + 10y - y ²
30 - 12y = 0
12y = 30
y = 30/12 = 5/2
(this is the y coordinate of A and B)
Then solve for x :
(x - 2)² = 16 - (5/2 + 1)²
(x - 2)² = 15/4
x - 2 = ± √(15/4) = ±√15/2
x = 2 ± √15/2
(these are the x coordinates for either A or B)
The intersections are the points A = (2 - √15/2, 5/2) and B = (2 + √15/2, 5/2). We want to find the squared distance between them:
(AB)² = [(2 - √15/2) - (2 + √15/2)]² + (5/2 - 5/2)²
(AB)² = (-√15)² + 0²
(AB)² = 15
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
What is the tangent ratio of angle x?
tan x= 20/21
tan x= 21/29
tan x= 20/29
tan x= 21/20
Answer:
[tex]\tan x=21/20[/tex]
Step-by-step explanation:
In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side. (o/a)
For angle [tex]x[/tex], its opposite side is 21 feet and its adjacent side is 20 feet. Therefore, we have:
[tex]\boxed{\tan x=21/20}[/tex]
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
Wages and salaries
Kelly earns a salary of $68 430 pa how much does he earn each week, each fortnight and each month?
Answer:
Each week = $ 1311.41
Each fortnight = $ 2622.84
Each month = $ 5702.5
Step-by-step explanation:
Given that,
Annual salary of Kelly = $ 68,430
As we know,
There are 52.18 weeks in a year.
So,
Weekly income = Annual salary ÷ no. of weeks in the year
= $ 68,430 ÷ 52.18
= $ 1311.42
Fortnight income = 2 * weekly income
= 2 * $ 1311.42
= $ 2622.84
Each month's income = Annual income ÷ 12(no. of months)
= $ 68,430 ÷ 12
= $ 5702.5
How do I do this question
Answer:
Step-by-step explanation:
Join OB.
∠A=∠A (common)
[tex]\frac{AP}{AO} =\frac{\frac{1}{2} AO}{AO} =\frac{1}{2} \\\frac{AQ}{AB} =\frac{\frac{1}{2} AB}{AB} =\frac{1}{2} \\\frac{AP}{AO} =\frac{AQ}{AB}[/tex]
∴ ΔAPO and ΔAOB are similar.
[tex]\frac{PQ}{OB} =\frac{1}{2} \\[/tex]
∠P=∠O
∠Q=∠B
So PQ║OB
Similarly RS║OB
∴PQ║RS
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°
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:
(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
WILL MARK BRAINLIEST
picture included^^^^
need help asap please n thank you!
^^^^
Answer:
14
Step-by-step explanation:
The a value is from the center to the maximum
We want from minimum to max so we need 2 times the amplitude
a = 7
2 *7 = 14
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.
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
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.
Explainnnnnn help me please
Answer:
99cm²
Step-by-step explanation:
area for a triangle = 1/2 x b x h
area = 1/2 x 11 x 18
area = 99cm²
3. Rita is applying for a job as an engineer. Hier starting salary at Company will be $30,000 a $300 yearly
raise. Her starting salary at company will be $65.000 with a 5% increase sach year. If Rata is working at a
company for 5 years. Which company should she pick?
Answer:
The 65,000 salary
Step-by-step explanation:
Because the 30,000 salary after 5 years would be 31,500.
30,000+300=30,300
30,300+300=30,600
30,600+300=30,900
30,900+300=31,200
31,200+300=31,500
The 65,000 paying company
65,000x1.05=68,250
68,250x1.05=71.662.5
71,662.5x1.05=75,245.625
75,245.625x1.05=79,007.90625
79,007.90625x1.05=82,958.3015625
her salary after 5 years would be 82,958.3015625
The sum of a number and 5 decreased by twice the number.
Answer:
-x+5
hope this help!!!
Step-by-step explanation:
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
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]
A survey was done that asked students to indicate whether they enjoy reading or playing video games.
What is the ratio of those who do not enjoy reading and those who do not enjoy playing video games?
Enter your answer, in simplified form without using decimals, in the boxes.
please help me :D
Answer:
9 to 3
Step-by-step explanation:
Those who don't enjoy reading: 8+1=9
Those who don't enjoy playing video games: 1+2=3
Ratio is 9 to 3.
An airplane from Singapore to Melbourne takes about 7 1/2 hours to cover a distance of 6057 km. What is the average speed of the airplane.
Answer: 13.46 km/h
Step-by-step explanation:
7 1/2 hr= 450 min
6057/450= 13.46
