Answer:
a = 7
Step-by-step explanation:
Using the Cosine rule in the triangle
a² = b² + c² - (2bc cosA )
= 2² + (5[tex]\sqrt{3}[/tex] )² - (2 × 2 × 5[tex]\sqrt{3}[/tex] × cos30° )
= 4 + 75 - (20[tex]\sqrt{3}[/tex] × [tex]\frac{\sqrt{3} }{2}[/tex] ) ← exact value of cos30°
= 79 - ( 10 × 3)
= 79 - 30
= 49 ( take square root of both sides )
a = [tex]\sqrt{49}[/tex] = 7
Answer:
a = 7
Step-by-step explanation:
a² = b² + c² - 2bc × cos α
a² = 2² + ( 5√3 )² - 2 × 2 × 5√3 × [tex]\frac{\sqrt{3} }{2}[/tex]
a² = 49
a = 7
What is the measure of each exterior angle of a
regular polygon with 72 sides?
Answer:
108
Step-by-step explanation:
calculate the number of sides in the regular polygon.we do this by dividing 360° by the side of one exterior angel
which is 72°.the answer is 360° ÷ 72° = 5 sides
What divisor is represented by the synthetic division below?
N
12
-5
10 1 5
-10 0 -5
2 0 1 0
05
O 5
O x + 5
O x-5
B
Answer:
-5 is the answer
Step-by-step explanation:
we use the divisor which is dividing other
Stella has points card for a movie theater
-she receives 25 reward points for just signing up
-she earns 12. Five points for each visit to the movie Theater
-she needs at least 103 points for a free movie ticket
Right and soften inequality which can be used to determine v, the number of visits Stella can make to earn her first free movie ticket
Every seventh-grade student at Martin Middle School takes one world language class. One-tenth of the seventh-grade students take French. Eighteen seventh-grade students take French. Which equation represents s, the total number of seventh-grade students at the middle school? 18 = 0. 1 s 18 = StartFraction 10 over s EndFraction StartFraction s over 0. 1 EndFraction = 18 10 s = 18.
The equation that represents s, the total number of seventh-grade students at the middle school is given by: Option A: [tex]18 = 0.1s[/tex]
How to find the one-nth part of a thing?Suppose that the whole thing is of value V.
Then its one-nth part is symbolically written as: [tex]V \times \dfrac{1}{n}[/tex] (V is divided in n equal part, and each part is called one-nth part of V).
For the considered case, we've got the figures as:
Every seventh grade student at considered school takes one language class. It means, if s = Total number of seventh grade student, then:
[tex]\dfrac{s}{7}[/tex] is the number of students taking language class.
Now, it is said that: One-tenth of the seventh grade students like French, and that they are total 18 in counts.
Writing it symbolically gives:
[tex]\dfrac{s}{10} = 18[/tex]
Since we know that [tex]\dfrac{a}{b} = a \times \dfrac{1}{b}[/tex]
Thus,
[tex]\dfrac{s}{10} = s \times \dfrac{1}{10} = s \times 0.1= 18\\\\0.1 s = 18\\18 = 0.1s[/tex]
(sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)
Thus, the equation that represents s, the total number of seventh-grade students at the middle school is given by: Option A: [tex]18 = 0.1s[/tex]
Learn more about forming equations here:
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Mom buys a smart tv on hire purchase first she deposit of $200 followed by 12 monthly in instrument of $50 each how many money does man care for the TV?
2. )mom buys a bed on hire purchase first she pays a deposit of $300 followed by 12 monthly instrument of $60 each how many money does she pay for the bed
Answer:
1.
Step-by-step explanation:
262 2. 360 is the best a
answer I can give you ooo
factories 12x-30 please help me
Answer:
6(2x - 5)
Step-by-step explanation:
The greatest common factor of 12x and 30 is 6.
12x - 30 = 6(2x - 5)
Heya ~
⇨ [tex]\huge \underline \purple {\mathcal{YOUR \: ANSWER \: :}[/tex]
[tex]\sf{= \: 6 \: (2x \: - \: 5)}[/tex]
[tex]\huge \boxed {\underline{Explanation :}}[/tex]
[tex]\sf{12x \: - \: 30}[/tex]
[tex]\sf{Rewrite~ 12~ as ~6 ~^. ~2}[/tex]
[tex]\sf{Rewrite~ 30~ as ~6 ~^. ~5}[/tex]
[tex]\sf{= 6~^.~2x~-~6~^.~5}[/tex]
[tex]\sf{Factor~out~the~common~term~6}[/tex]
[tex]\sf{= \: 6 \: (2x \: - \: 5)}[/tex]
Hope It Helps ! ~
#LearnWithBrainly
[tex]\underline{Answer~:}[/tex]
Jace ~
Identify the quotient and remainder when 1050 is divided by 13.
Answer:80 R:10
Step-by-step explanation:
1050 divided by 13 is 80 R 10
one and two fourths plus three and three fourths
a
two and one fourth
b
four and one fourth
c
five and one fourth
d
six and one fourth
Answer:
c
Step-by-step explanation:
im smart
Answer:
its c
Step-by-step explanation:
one plus three, then three plus 2 of fourths carry over the one to the 4 and it becomes 5 and 1 fourth
pls help dum answer=report
question in picture
Answer:
The third one because its the only one that doesn't have the same (x) twice
Step-by-step explanation:
lmk if this helped
Pls answer all the question pls
Answer:
a. A^9 b.b^10 c.a^p+2 d. A^p+q e. B^10+r f. A^p+r g.a^10 h. B^ p+q+r
I. A^p+q+1 J. A^13+p
Step-by-step explanation:
*PLS HELP!!*
{The Picture Is In The Attachment}
Answer:
B is 45 A is 135
Step-by-step explanation:
45 + 135 = 180
45 x 3 = 135
135 is three times as large as 45
135 and 45 are supplementary angles
A pair of equations is shown below:
y = 2x − 1
y = 4x − 5
Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)
Part B: What is the solution to the pair of equations? (4 points)
Answer:
A) see step-by-step
B) (2, 3)
Step-by-step explanation:
Part A
Plot the two linear equations. The point at which they intersect is the solution to the system.
y = 2x - 1
slope = 2 (for every 1 unit across, go 2 units up)y-intercept = (0, -1)y = 4x - 5
slope = 4 (for every 1 unit across, go 4 units up)y-intercept = (0, -5)Part B
see attached diagram
To solve algebraically:
equate the equations and solve for x:
⇒ 2x - 1 = 4x - 5
⇒ -2x = -4
⇒ x = 2
Substitute found value for x into one of the equations and solve for y:
⇒ 2(2)- 1 = 3
Therefore, solution is (2, 3)
We will use graphical method
y=2x-1y=4x-5Graph attached
Solution is (2,3)
The tax rate for medicare is 6.2%
True
False
1.45% for the employer and 1.45% for the employee, or 2.9% total. So false
False
Step-by-step explanation:
Fica's Medicare Tax rate is 6.2% But The current tax rate for social security is 6.2% for the employer and 6.2% for the employee, or 12.4% total. The current rate for Medicare is 1.45% for the employer and 1.45% for the employee, or 2.9% total.Jan
a car travelling at an average speed of 100 km/h covers a certain distance in 3 hours. at what average speed must the car travels to cover the same distance in 2 hours
Answer:
Needs to have an average speed of 150km/h
Step-by-step explanation:
With the current average of 100 km/h in a 3-hour span, you would cover 300km. Since you want to cover that same amount (300km) in 2 hours all you do is 300/2 which is 150. Meaning you need an average speed of 150 km/h
HELLLPPPPPPPPP ILL GIVE BRAINLY LIKEESS!!!
Michael draws a card from a standard deck of 52 cards (and puts it back) 20 times.
How many times can Michael expect to draw a diamond?
Enter your answer as a number, like this: 42
Answer:
5
Step-by-step explanation:
NAAAAAA git trippen
Michael can expect to draw a diamond 5 times.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The probability of drawing a diamond from a standard deck of 52 cards is 13/52 or 1/4.
Since Michael draws 20 cards with replacement, each draw is independent and follows a binomial distribution with n=20 and p=1/4.
The expected number of times Michael will draw a diamond is given by:
E(X) = n×p
= 20 × (1/4)
= 5
Therefore, Michael can expect to draw a diamond 5 times.
To learn more on probability click:
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#SPJ2
please help me
i'll make u brainly if u give the correct letters
Answer:
A, C , D
Step-by-step explanation:
Polygon is the closed two dimentional figure made up of straight line.
Substitution
X=4y
x+2y=12
Answer:
4y + 2y = 12
solved; y = 2
Step-by-step explanation:
put the 2 y values together to get 6y. Then divide both sides by 6 to icolate y to get 2.
Have a great day!
Please rate and mark brainliest!
please help me with this problem
Answer:
650 + 22.50x = 1887.50 x = 55 hours
Step-by-step explanation:
1887.50 - 650 = 1237.5
1237.5 / 22.50 = 55
She needs to work 55 hours to obtain $1887.50 if she already has $650.
What is the volume of a cylinder, in cubic centimeters, with a height of 2 centimeters
and a base diameter of 20 centimeters? Round to the nearest tenths place
Answer:
Step-by-step explanation:
Givens
d = 20 cm
r = d/2 = 20/2 = 10 cm
h = 2 cm
pi = 3.14
Formula
V = pi * r^2 * h
Solution
V = pi * r^2 * h
V = 3.14 * 10^2 * 2
V = 6.28 * 100
V = 628 cm^3
How do you find the x value of an angle
Answer:
Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle. If you are working with equilateral triangles, divide 180 by three to find the value of X.
Step-by-step explanation:
I hope this helps you.
HELPPPPPPPPPPPPPPPPPPP LOTS OF POINT FOR HELP
There are a total of 20 students in the class (20 dots)
Statement 1 : Exactly 50% of the students scored 80 or higher.
If we count from 80 towards 100, we see that 14 students scored 80 or higher (not 50%) - false.
Statement 2 : More than 30% of the students failed the quiz with a score of less than 70.
There are 5 students who scored a 65 or below, which is 25% of the students (not 30%) - false
Statement 3 : Fewer than 12% of the students scored a 100.
There are 3 students who scored a 100 (15%, more than 12%) - false
Statement 4 : Exactly 75% of the class passed the quiz with a score of 70 or higher
There are 15 students who scored a 70 or more (75%) - true
So, the answer is the 4th option.
Answer:
last one
Step-by-step explanation:
20 dots in total, use as base
9 dots 80 or above, 9/20 does not equal 1/2
5 dots 65 or below, 5/20=1/4<1/3
3 dots on 100, 3/20=15/100>12/100
15 dots 70 or above, 15/20=3/4 true
What is the definition of an irrational number?
A.
a number that cannot be expressed as a fraction, , where p and q are integers and q is not equal to zero
B.
a number that can be expressed as a fraction, , where p and q are integers and q is not equal to zero
C.
a negative number
D.
a number that is more than 10 digits
Answer:
A
Step-by-step explanation:
What is the area of a circle with a diameter of 74 millimeters. Use pie
Answer:
[tex]4298.66mm^{2}[/tex], or [tex]1369mm^{2}[/tex][tex]\pi[/tex]
Step-by-step explanation:
Use the formula for area of a circle
A = [tex]\pi[/tex][tex]r^{2}[/tex]
the radius is half the diameter, so divide 74 by 2 then substitute it as r
A = [tex]\pi 37mm^{2}[/tex]
multiply 37 by 37
A = [tex]1369mm^{2} \pi[/tex]
multiple 1369 by pi(3.14)
[tex]1369mm^{2} \pi[/tex] or [tex]4298.66mm^{2}[/tex]
Estimate when the 4th most popular video was released.
Group of answer choices
2012
2013
2014
2016
write a pythogorean triplet whose smallest number is 16
Answer:
(16, 63, 65)
Step-by-step explanation:
A Pythagorean Triple is a set of positive integers, a, b and c that fits the rule: a² + b² = c²
Use the formula for generating triples (a, b, c):
(2m, m² - 1, m² + 1) where 2m is the smallest number
Let
a = 2mb = m² - 1c = m² + 1Given a = 16 ⇒ m = 8
⇒ b = 8² - 1 = 63
⇒ c = 8² + 1 = 65
So the pythogorean triple whose smallest number is 16 is (16, 63, 65)
How do economists measure a nation's standard of living?
A.by calculating GDP per person
B.by calculating per capita income
C.by calculating average personal income
Answer:
by calculating per capita income
Can someone please help me with this?? I need help asap! Please do all if you can and not just one.
Express this equation in logarithmic form.
2^3 = 8
Express this equation in logarithmic form.
6^3 = 216
Express this equation in logarithmic form.
4^0.5 = 2
Express this equation in logarithmic form.
b^x = N
Express this equation in logarithmic form.
y = 10^x
Solve for x = 4х – 8 = 3х – 8
Answer:
[tex]x = 4x - 8 - 3x + 8 = 0 \\ x = 4x - 3x - 8 + 8 = 0 \\ x = 0[/tex]
2 questions please help
Answer:
10
Step-by-step explanation:
solving the system of equation you get the answer 10
on Monday, Ahmad borrow $20 nam Hamza on Tuesday he pays hamza $30.On
Thursday he borrows $48 and pays back $30 the next day. How much does Ahmed owe
Hamza in the end.
Answer:
8$
Step-by-step explanation:
20 -30 + 48 - 30 = -10 + 18 = 8 $
Answer:
$8
Step-by-step explanation:
Total borrowed: 20 + 48 = 68
Total paid back: 30 + 30 = 60
Total still owed: 68 - 60 = 8