Step-by-step explanation:
[tex] \cos(30) = \frac{x}{4} \\ x = 2 \sqrt{3} [/tex]
HELPPPP
The scale for the map of Missouri is 2.5 cm = 40 mi. On the map, the distance from
Kansas City to St. Louis is about 15.5 cm. How far apart are the two cities? Round your
answer to the nearest mile.
Answer:
Step-by-step explanation:
15.5cm(40mi/2.5cm)=620mi/2.5
248mi
Let z be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c . 0.1112
Convert the angle zero equals 29 pi over 15 rad to degrees
Plzzzz help me I’m not too sure
Answer:
12
Step-by-step explanation:
A water cooler holds 18 liters of sports drink. Approximately how many gallons is this? (1 gallon = 3.785 liters) (3 points)
3 gallons
4 gallons
5 gallons
14 gallons
Answer:
i think its approximately 5 gallons because if you do 4 gallons it would be 15.14 liters and if u do 5 gallons it would be 18.925 liters its the one that is a little more close i think
Answer:
5 liters
Step-by-step explanation:
is the following a relation (8,7) (3,7) (2,3) (9,8)
The soccer team must travle to the tournament. On a map, the tournament is 6.5 centimeters away. The map scale is 2 cm = 25 miles. How far will the team travel to get to the tournament?
Answer:
81.25 miles.
Step-by-step explanation:
We divide 6.5 by 2 to get 3.25, we then multiply 3.25 by 25 to get our answer.
43508 divided bye 11
Answer:
3955.27272727
Step-by-step explanation:
Find the area of this parallelogram.
13 cm
15cm
A
20cm
Answer:
A = 260 cm^2
Step-by-step explanation:
[tex]a = b \times h \\ a = 20 \times 13 \\ a = 260 \: {cm}^{2} [/tex]
The Continental Drift Hypothesis asserts that
our continents have been for millions of
years.
a Decreasing
b Rising
C Moving
d Growing
How many solutions does the nonlinear system of equations graphed below
have?
Answer:
they have three solutions
HOPE IT HELPS
TAHE CARE
Step-by-step explanation:
A sum of money is divided among Khairul, Michael and Ethan in the ratio
6:4: 5. After Khairul gives $30 to Michael and $15 to Ethan, the ratio
becomes 7:6:7. Find the amount of money Khairul had initially.
Answer:
$360
Step-by-step explanation:
The intial ratio of the sum shared between Khairul, Michael and Ethan is 6 : 4 : 5.
This would be 6x : 4x : 5x
Khairul gives $30 to Michael and $15.
The ratio is. Now;
(6x - 45) : (4x + 30) : (5x + 15)
We are told this is equal to the ratio 7:6:7
Thus;
((6x - 45) + (4x + 30))/(5x + 15) = (7 + 6)/7
(10x - 15)/(5x + 15) = 13/7
Factorize the left hand side;
5(2x - 3)/5(x + 3) = 13/7
5 will cancel out to get;
(2x - 3)/(x + 3) = 13/7
Cross multiply to get;
7(2x - 3) = 13(x + 3)
14x - 21 = 13x + 39
14x - 13x = 39 + 21
x = 60
Amount Khairul had initially was denoted as 6x.
Thus,6x = 5 × 60 = $360
Violet invests money in an account paying a simple interest of 6.3% per year. If she
invests $80 and no money will be added or removed from the investment, how much
will she have in one year, in dollars and cents?
Answer:
Your answer
85 dollar 4 cent
Mark it as Brainlist answer. Follow me to get more answer
Step-by-step explanation:
the difference of the quotient m and 9 and the quotient of n and 30
What is 1.24×10−6 in ordinary notation?
Answer:
24×10-6
First you multiply 24 and 10 which the answer is 240.
= 240-6
Then subtract 6 from 240
and your is...
=234
I used BODMAS which stands for
B - Brackets first
O - Operation second
D - Division third
M - Multiplication fourth
A - Addition fifth
S - Subtraction lastly
That's why we call it BODMAS...
the area of this triangle ?
Answer:
8 cm
Step-by-step explanation:
Use pythagorean theorem to find the height (a and b are equal):
[tex]a^2+b^2=16\sqrt{2}^2\\a^2+a^2=16\sqrt{2}^2\\2a^2=16\sqrt{2}^2\\2a^2=16(2)\\a^2=16\\a=\sqrt{16}\\a=4[/tex]
Area is half of the base times height. Base and height are equal for this triangle.
[tex]\frac{1}{2}(4)(4)\\\frac{1}{2}(16)\\8[/tex]
what is [tex]\frac{-8 + \sqrt{-20} }{24}[/tex]?
Answer:
[tex]\displaystyle \frac{-4 + i\sqrt{5}}{12}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FactoringAlgebra II
Imaginary Numbers: √-1 = iStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{-8 + \sqrt{-20}}{24}[/tex]
Step 2: Simplify
[Fraction] [√Radical] Factor: [tex]\displaystyle \frac{-8 + \sqrt{-1}\sqrt{20}}{24}[/tex][Fraction] [√Radical] Evaluate: [tex]\displaystyle \frac{-8 + i\sqrt{20}}{24}[/tex][Fraction] [√Radical] Simplify: [tex]\displaystyle \frac{-8 + 2i\sqrt{5}}{24}[/tex][Fraction] Factor numerator: [tex]\displaystyle \frac{2(-4 + i\sqrt{5})}{24}[/tex][Fraction] Simplify: [tex]\displaystyle \frac{-4 + i\sqrt{5}}{12}[/tex]-8x less or equal to 38
Answer:
Less
Step-by-step explanation:
the medical practice i been working at has an average of 22.4 patients a day for the last 3 months 3/4 of those patients have insurance in one form or another how many patients pay cash
Answer:
Step-by-step explanation:
22.4(1-3/4)
22.4(1/4)
5.6 patients per day pay cash.
complete the equation 5/4= ×1/4
Answer:
X = 5
Step-by-step explanation:
Find the slope of the line through the points ( 6 x , 5 y ) and ( 4 x , y ) .
Answer:
2
Step-by-step explanation:
Help please!
I will mark you brainlest
What day of the week was September 16, 1921?
3 points
Captionless Image
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
Answer:
Friday
Step-by-step explanation:
find the sum of the 2 terms of an A P are in the ratio of (2n-1):(2n+1) then find the ratio of their 10th term
Answer:
37/39
Step-by-step explanation:
We know that formula for n terms of an AP is written as;
(n/2)(2a + (n - 1)d)
Let the sum of the first AP be;
(n/2)(2a + (n - 1)d)
Let the sum of the second AP be (n/2)(2A + (n - 1)D)
We are told that they have a ratio of (2n-1):(2n+1)
Thus;
(2n-1)/(2n+1) = [(n/2)(2a + (n - 1)d)]/[ (n/2)(2A + (n - 1)D)]
On RHS, n/2 will cancel out to give;
(2n-1)/(2n+1) = [(2a + (n - 1)d)]/[(2A + (n - 1)D)]
Rewriting this we have;
(2n - 1)/(2n + 1) = [(a + ½(n - 1)d)]/[A + ½(n - 1)D)]
But we want tod find;
(a + (n - 1)d)/(A + (n - 1)D)
Thus,at n = 10, we have;
(a + 9d)/(A + 9D)
Comparing with [(a + ½(n - 1)d)]/[A + ½(n - 1)D)], we can say that;
½(n - 1) = 9
n = 18 + 1
n = 19
Thus;
(a + 9d)/(A + 9D) = (2n-1)/(2n+1)
Putting n = 19 gives;
(a + 9d)/(A + 9D) = (2(19) - 1)/(2(19) + 1)
(a + 9d)/(A + 9D) = 37/39
Solve 5 ÷ 4. Express your answer as an improper fraction.
Answer:
5/4
Step-by-step explanation:
Answer:
exact form 5/4
1 1/2 for a mixed number
1.25 as a decimal
Three friends earned more than $197 washing cars. They paid their parents $28 for supplies and then divided the rest of the money equally. Enter an inequality to find possible amounts each friend eamed Identify what your variable represents. The inequality that represents the situation is a = select e select)
Answer:
x>169/3
Step-by-step explanation:
x- the money that each earned
3x>197-28
3x>169
x>169/3
Find the quotient.
35.4 ÷ 0.59
Answer:
35.4÷ 0.59=60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
35.4 ÷0.59= 60
(hope this helps can i plz have brainlist :D hehe)
One season, the Hornets won 20 games. They played a total of 25 games. Write an equation to find the number of games the Hornets lost.
Answer:
25 - 20 = 5
Step-by-step explanation:
Since the Hornets have played a total of 25 games and won only 20 of them, you want the difference between the two to figure out how many games the Hornets lost.
t = total games played
w = games won
l = games lost
t - w = l
Y=1/2x +6 y=2x what is the solution to the system
Answer:
x=4 and y=8
Step-by-step explanation:
Albert mixes 10 grams of 15% sugar and 25 grams of 10% sugar syrup. How many grams of sugar does the mixture contain.
Answer:
4 Grams of sugar
Step-by-step explanation:
(10*0.15) + (25*0.10)
1.5+2.5
4 grams of sugar.
pls rate dis 5 stars.
x 3.4.40-BE
Quest
Suppose the supply for a certain textbook is given by P
Find the equilibrium quantity and the equilibrium price.
and demand is given by p= - +10, where p is the price and q is the quantity. The graph of these equations is shown to the right.
Answer:
(d) is correct
Equilibrium quantity is 4.5
Equilibrium price is 5
Step-by-step explanation:
Given
[tex]p = \frac{1}{4}q^2[/tex] -- supply
[tex]p = -\frac{1}{4}q^2 + 10[/tex] -- demand
Required
Find the equilibrium price
Equilibrium price is when:
[tex]Demand = Supply[/tex]
This means that (d) is correct
So, we have:
[tex]p =p[/tex]
[tex]\frac{1}{4}q^2 = -\frac{1}{4}q^2 + 10[/tex]
Collect Like Terms
[tex]\frac{1}{4}q^2 +\frac{1}{4}q^2= + 10[/tex]
[tex]\frac{1}{2}q^2 = 10[/tex]
Multiply both sides by 2
[tex]2*\frac{1}{2}q^2 = 2*10[/tex]
[tex]q^2 = 20[/tex]
Take the square root of both sides
[tex]q = \sqrt{20[/tex]
[tex]q = 4.47[/tex]
[tex]q = 4.5[/tex] -- approximated
The equilibrium price is:
[tex]p = \frac{1}{4}q^2[/tex]
Substitute value for q^2
[tex]p= \frac{1}{4}*20[/tex]
[tex]p = 5[/tex]