Answer:
[tex] \cos(30) = \frac{ \sqrt{3} }{2 } = \frac{4 \sqrt{3} }{x} \\ x = 8 \sqrt{3} \div \sqrt{3} = 8[/tex]
Answer:
x = 8
Step-by-step explanation:
√3 4√3
Note that cos 30 degrees (which is ---------) equals ---------
2 x
which simplifies to:
1 4
---- = -----
2 x
so that x = 8
What numbers multiply to make -384 and add to make 8?
Answer:
-16 and 24
Step-by-step explanation:
-16 x 24 = -384
-16 + 24 = 8
Help me please help me I really need help
Answer:
44%
0.44 is 44% of 1.
please help!! I'm really confused:(
[tex]60\% = 180\\1\%=\frac{180}{60} = 3[/tex]
[tex]100\% - 60\% = 40\%\\40\% = 3*40=120[/tex]
Answer: 120 cans.
Help would be appreciated for this question!!!
Answer:
A
Step-by-step explanation:
Recall that sin = opposite over hypotenuse
For ∠A we are already given its opposite side length ( 2 ) however the hypotenuse has not been identified.
The triangle shown is a right triangle ( indicated by the little square on the bottom left ) which means that we can find a missing side length, more specifically the hypotenuse, using the Pythagorean theorem
[tex]a^2+b^2=c^2[/tex] where a and b = legs and c = hypotenuse
we are given that the legs = 2 and 4 and need to find the hypotenuse
That being said we plug in what we are given and solve for c
[tex]2^2+4^2=c^2\\2^2=4\\4^2=16\\16+4=20\\20=c^2[/tex]
In order to get the exact value of c we must get rid of the exponent.
To do so we can take the square root of both sides
[tex]\sqrt{20} =\sqrt{20} \\\sqrt{c^2} =c\\c=\sqrt{20}[/tex]
hence, the hypotenuse = √20
Now lets look back at the question
Find sin∠A to the nearest hundredth.
well remember sin = opposite over hypotenuse
The opposite of sin∠A is 2 and the hypotenuse is √20
Hence, sin∠A = [tex]\frac{2}{\sqrt{20} }[/tex] which is equivalent to .447213595
Our last step is to round to the nearest hundredth
We get the sin∠A = .45
HELP ME PLEASE I DON'T UNDERSTAND
Answer:
For #9 it can be 4,6, or 7
#10 is angle 3
#11 is 134
#12 is 49
Step-by-step explanation:
#9 just look at the picture given and see which one is opposite from it
#10 look at which one is beside it but that the ’half‘ circles are facing each other
#11 and #12 subtract the angles they give you and see if they are next to each other and if they are that subtract the number they give you by 180-the degrees of a line
x + 7y = 6x-(2/3)
Solve for x and y. You do not need to show your work
Answer:
[tex] \displaystyle x = \frac{21y + 2}{15} [/tex]
[tex] \displaystyle y = \frac{15x - 2}{21} [/tex]
Step-by-step explanation:
Solve for x:remove parentheses:
[tex] \displaystyle x + 7y = 6x - \frac{2}{3} [/tex]
move x to left hand side and y to right hand side and change its sign:
[tex] \displaystyle x - 6x = -7y - \frac{2}{3} [/tex]
simplify Substraction:
[tex] \displaystyle - 5x = \frac{-21y - 2}{3} [/tex]
divide both sides by -5:
[tex] \displaystyle x = \frac{21y + 2}{15} [/tex]
Solve for y:move x to the right hand side and change its sign:
[tex] \displaystyle 7y = 6x - x- \frac{2}{3} [/tex]
simplify Substraction:
[tex] \displaystyle 7y =5x- \frac{2}{3} [/tex]
simplify substraction:
[tex] \displaystyle 7y = \frac{15x - 2}{3} [/tex]
divide both sides by 7:
[tex] \displaystyle y = \frac{15x - 2}{21} [/tex]
and we are done!
A shipping container is in the shape of a right rectangular prism with a length of 7.5
feet, a width of 1.5 feet, and a height of 6.5 feet. The container is completely filled
with contents that weigh, on average, 0.34 pound per cubic foot. What is the weight
of the contents in the container, to the nearest pound?
Answer:
3
Step-by-step explanation:
because two plus two
Which is the answer ? Please help
Answer:
Answer is C.
Step-by-step explanation:
8÷8= 1
1 whole
please answer as soon as possible !!!
Answer:
hey I will answer.
Step-by-step explanation:
translation: 1 unit right and 2 units down ... U (-3,-4), M(-1,-1), L(-2,-5) ... R(-4, -3), D(-4,0), L( 0,0), F(0, -3) ... 7) translation: 2 units left and 1 unit down ... D(-4,1), A(-2,5), s-1, 4), N-1, 2).
A college professor hands out a list of 10 questions, 5 of which will appear on the final exam for the course. One of the students taking the course is pressed for time and can prepare for MATH 270 Assignment 2 W. Li 2 only 7 of the 10 questions on the list. Suppose the professor chooses the 5 questions at random from the 10. a) What is the probability that the student will be prepared for all 5 questions that appear on the final examination
Answer:
21 / 252
Step-by-step explanation:
Recall : nCr = n! ÷ (n-r)!r!
The total possible outcome ; 5 questions out of 10
10C5 = 10! ÷ 5!5! = (10*9*8*7*6)÷(5*4*3*2*1) = 252
Required outcome :
All 5 questions set being from the 7 questions covered and 0 from the 3 left uncovered
7C5 * 3C0
7C5 = 7! ÷ 2!5! = (7*6) ÷ (2*1) = 21
3C0 = 3! ÷ 3!0! = 1
Probability = required outcome / Total possible outcomes
P(All 5 questions prepared for appears) :
[7C5 * 3C0] ÷ 10C5
(21 * 1) / 252
= 21 / 252
The radius of a circle is 8 feet. What is the circle's area?
Use 3.14 for .
Answer:
50.27
Step-by-step explanation:
remember that the circumference of a circle is 2πr
so 3.15x8 and then multiply by two
Answer:
200.96 ft²
Step-by-step explanation:
Step 1: Define/formula
To find the area of a circle, multiply the radius by itself twice, then multiply the product by pi.
[tex]a=\pi r^2(3.14*radius*radius)[/tex]
Step 2: Solve
According to the word problem, the radius is 8.
From here, we plug the numbers into the formula.
[tex]\pi 8^2(3.14*8*8)=200.96ft^2.[/tex]
Step 3: Conclude
Therefore, the area of this circle is 200.96 ft.²
Please help!
Find the amount of empty space within a cylinder containing three solid spheres, where each sphere has a radius of 3 cm. (Volume of a sphere 4 000 3 cm.
Answer:
Step-by-step explanation:
cylinder's height=3×(diameter of sphere)=3×6=18 cm
radius of cylinder=3 cm
volume of cylinder=π r²h=π(3)²×18=162 π cm³
volume of sphere=4/3 π(3)³=36 π cm³
reqd. empty space=162 π-3×36π=54 πcm³
The function f(x) = 1.25x^2 models the packaging costs, in cents, for a box shaped like a rectangular prism. The side lengths are 2x in., 2x in., and 0.5x in. What are reasonable domain and range values for this function, if the longest side length of the box can be no greater than 20 in.? Write the answers in interval notation.
Answer:
I need this tooo, did u find it??
Step-by-step explanation:
12g^2 + 7g^2 simplify
Answer:
19g^2
Step-by-step explanation:
Answer:
144 I think????? ????????
The table shows the total profits earned from magazine sales.
select a function that models this situation.
O A.) y = 24x
O B.) y = 10x + 28
O C.) y = 14x + 20
O D.) y = 15x + 10
(01.02 MC)Which of the following correctly uses absolute value to show the distance between -50 and 12?
OT-50 - 12| = |-62] = -62 units
OT-50 + 12 = 1-38= 38 units
OT-50 + 12 = 1-38] = -38 units
OT-50 - 12| = |-62] = 62 units
Plz help
Answer: Choice D
|-50-12| = |-62| = 62 units
================================================================
Explanation:
Draw out a number line. Mark two points on it at A = -50 and B = 12
The expression |A-B| represents the distance between the two points. So that would be....
|A-B| = |-50-12| = |-62| = 62
Note that negative distance does not make sense. The smallest distance can get is 0. So the result of an absolute value problem is never negative.
-------------------
Slightly alternative method:
If you wanted, you could plot point C on the number like such that C is at 0.
The distance from A = -50 to C = 0 is exactly 50 units
From C = 0 to B = 12 is an additional 12 units
Therefore, the total distance is AC+CB = 50+12 = 62 units
-------------------
Side note: |A-B| is the same as |B-A|. The order of subtraction doesn't matter as long as you use absolute value. If absolute value wasn't there, then A-B is different from B-A.
A boat leaves the dock and travels 9 miles due south, then 12 miles due west.
How far is the boat from the dock?
Dock
9 mi
Boat
12 mi
A. 15 mi
B. 21 mi
A boat leaves the dock and travels 9 miles due south, then 12 miles due west. Hence, the length of the boat from the dock will be 15 miles.
What is Pythagoras's Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
A boat leaves the dock and travels 9 miles due south, then 12 miles due west.
Let x be the length of the boat from the dock.
From the Pythagoras' theorem
[tex]|x|^2 = |12|^2 + |9|^2 \\\\x^2 = 144 + 81\\\\x^2 = 225\\\\x = \sqrt{225} \\\\x = 15[/tex]
Hence, the length of the boat from the dock will be 15 miles.
Learn more about Pythagoras' theorem here:
https://brainly.com/question/12105522
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plz this is due today
Answer:
F
Step-by-step explanation:
3.5*3=10.5
Sofia buys 6 goldfish. Each goldfish costs $2. Sofia pays for the goldfish with one $10 bill and one $5 bill.
How much change does Sofia get back?
Answer:
$3
Step-by-step explanation:
6 x $2 = $12
$15 - $12 = $3
$3 Answer
Answer:
3 is your answer i have the same quiz
Step-by-step explanation:
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
a grab bag contains 20 packages worth $0.70 each 15 packages $0.60 each and five packages worth 30 cents each what is the expected value if you have to pay fifty cents each to pick one package at random
Answer:
The expected value is $0.1125
Step-by-step explanation:
The number of packages worth $0.70 in the grab bag = 20
The number of packages worth $0.60 in the grab bag = 15
The number of packages worth 30 cents in the grab bag = 5
The amount paid to pick one package = 50 cents
The number of packages in the bag, n = 20 + 15 + 5 = 40
The total value of the packages in the grab bag, 'V', is given as follows;
V = 20 × $0.70 + 15 × $0.60 + 5 × $0.30 = $24.5
The average value of the packages in the bag, A = V/n
∴ A = $24.5/40 = 0.6125
The expected value is the value of the investment, at a point in time, the expected value E(X) is found by finding the sum of the of the calculations of the possible outcomes as follows
Whereby a $0.70 package is picked up, we have;
E(X)₁ = ($0.70 - $0.50) × 20/40 = $0.10
Whereby a $0.60 package is selected, we have;
E(X)₂ = ($0.60 - $0.50) × 15/40 = $0.0375
Whereby a $0.30 package is selected, we have;
E(X)₃ = ($0.30 - $0.50) × 5/40 = $(0.025)
Therefore, the expected value, E(X), is found as follows;
E(X) = E(X)₁ + E(X)₂ + E(X)₃
E(X) = 0.1 + 0.0375 - 0.025 = $0.1125
The expected value, E(X) = $0.1125
1/10 of the M&M's in a bag are red and 1/5
are blue. What fraction of all the m&ms
are red and blue?
Answer:
3/10 of all the M & M's are red and blue.
Step-by-step explanation:
Given that 1/10 of the M & M's in a bag are red and 1/5 are blue, to determine what fraction of all the M & M's are red and blue, the following calculation must be performed:
1/10 = 0.10
1/5 = 2/10 = 0.20
1/10 + 2/10 = X
3/10 = X
Therefore, 3/10 of all the M & M's are red and blue.
Can someone help me
I'll help.
A student needs 15 minutes to solve an algebra problem. How many minutes does the student need to solve 5 problems?
it's easy, you only need to divide 15 by 5.
Like this :
15÷5= 3
• because 5×3 = 15 , so you just need to flip it over
so, the student need 3 minutes to solve 5 problems
(a) There are 15,000 fleas in a carpet at the start of 2017. Each year, 3% of the fleas who were alive the previous year die and 1500 new fleas are born. Find an expression, in as simple a form as possible for the number of fleas N years after the start of 2017.
Answer:
Step-by-step explanation:
Jasmine, Georgia, and Olivia are in boats on a lake. Their relative locations are shown in the diagram.
What is the distance from Georgia's boat to Olivia's boat?
Enter your answer in the box. Round your final answer to the nearest whole number.
ft
Answer:
52ft
Step-by-step explanation:
SOMEONE HELP ITS 2IN THE MORNING AND I CANT THINK PROPERLY RIGHT NOW
Answer:
Step-by-step explanation:
37+82=x(sum of two interior opposite angles is equal to the exterior angle formed)
119=x
therefore x=119 degree
A sample of Chlorine gas has a volume of 20 L and a pressure of 4 atm. What will the
pressure of the gas be if the volume is decreased to 5 L?
Step-by-step explanation:
[tex]from \: boyle 's \: law \\ P _{1}V _{1} = P _{2} V _{2} \\ (4 \times 20) = (P _{2} \times 5) \\ P _{2} = \frac{(4 \times 20)}{5} \\ P _{2} = 16 \: atm[/tex]
Help^^^^^^^^^^^^^^^^^
Answer:
A,
23/6v+28
Step-by-step explanation:
Answer:
D. 23/6v+28
Step-by-step explanation:
A right triangle has a hypotenuse measuring 15
inches and one leg measuring 9 inches. What is the
length, in inches, of the other leg of the triangle?
A 3
B 6
C 10
D 12
Answer:
D
Step-by-step explanation:
15^2 = 9^2 + x^2
x^2 = 15^2 -9^2
x^2 = 225-81
x^2 = 144
x = 12
Angel says that raising fraction to the power of -1 is the same as finding the reciprocal of the fraction do you agree
Yes, raising fraction as the power to the integer number is same as calculating the reciprocal of the fraction.
According to the question, the simplification method for the raising fraction as the power to the integer number(-1) is same as calculating the reciprocal of the fraction.
Raising power means multiplying that number that many times to get the answer.
What is simplification in fraction?
The word simplification in fraction is the procedure in which complicated expression can be written in a simpler form to make the calculation easy. This method is used to calculated the answers for the unknown quantity.
To learn more about the simplification in fraction from the given link:
brainly.com/question/432678
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