Answer:180.3
Step-by-step explanation:
a=150
b=50
C=120
c^2=a^2+b^2-2 x a x b x cosC
c^2=150^2+50^2-2x150x50xcos120
c^2=150x150+50x50-2x150x50xcos120
c^2=22500+2500-15000cos120
c^2=25000-15000x-0.5
c^2=25000+7500
c^2=32500
c=√(32500)
c=180.3
Answer:
180.3 inches
Step-by-step explanation:
Using cosine law:
c² = 150² + 50² - 1(150)(50)cos(120)
c² = 32500
c = 50sqrt(13)
c = 180.3 (nearest tenth)
Jack threw 20 darts at a dartboard. 30% of his darts hit the bullseye. How many of his darts DID NOT hit the bullseye?
Answer:
14
Step-by-step explanation:
The number that did hit the bullseye is ...
0.30 × 20 = 6
So, the number that did not is ...
20 -6 = 14
14 of Jack's darts did not hit the bullseye.
The driveway in front of the brown house is 35 feet long and the driveway in front of the red house is 7 yards, 9 feet long. Which house has the long driveway and by how much? *
Brown house driveway; larger by 30 feet
Red house driveway; larger by 7 feet
Brown house driveway; larger by 5 feet
They are both equal.
Answer:
Brown house driveway; larger by 5 feet
Step-by-step explanation:
Lets convert yds to ft
We know 3 ft = 1yd
3*7 = 21
so 7yds = 21 ft
Add the 9 ft
7yds 9ft = 21+9 = 30 ft
The house with the 35 ft driveway is longer by (35-30) or 5 ft
Determine the y-intercept of the function.
x = 4y - 6
Answer:
y = 3/2
Step-by-step explanation:
Answer:
x=4y-6
Geometric figure: Straight Line
Slope = 0.500/2.000 = 0.250
x-intercept = -6/1 = -6.00000
y-intercept = 6/4 = 3/2 = 1.50000
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x-(4*y-6)=0
Step by step solution :
Step 1 :
Equation of a Straight Line
1.1 Solve x-4y+6 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x-4y+6 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 3/2 so this line "cuts" the y axis at y= 1.50000
y-intercept = 6/4 = 3/2 = 1.50000
Calculate the X-Intercept :
When y = 0 the value of x is -6/1 Our line therefore "cuts" the x axis at x=-6.00000
x-intercept = -6/1 = -6.00000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.500 and for x=2.000, the value of y is 2.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 2.000 - 1.500 = 0.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 0.500/2.000 = 0.250
Geometric figure: Straight Line
Slope = 0.500/2.000 = 0.250
x-intercept = -6/1 = -6.00000
y-intercept = 6/4 = 3/2 = 1.50000
Step-by-step explanation:
You are overseeing a machine that seals 80 soda cans per minute. In one hour of time, how many soda cans will be sealed? _____ soda cans?
Answer: 4800
Step-by-step explanation: 80 x 60 = 4800
The answer to the volume of a sphere/hemisphere should only be written as a(n)
Answer:
Cubic unit.Step-by-step explanation:
The answer to the volume of a sphere/hemisphere should only be written a cubic unit, because volumes depends on three coordinates to be defined, width, lenght and height, where each coordinates is a length itselft, which multiplied give a cubic length unit, due to the power properties.
For example, imagine that you have all three dimensions in meters, then the product would be [tex]m \times m \times m=m^{3}[/tex].
Therefore, the answer that completes the statment is cubic unit. A volume should be always written in cubic units.
Answer:
The answer to the volume of a sphere/hemisphere should only be written as a function of the radius.
Step-by-step explanation:
An hemisphere is half of a sphere. Its volume can be determined by dividing the volume of a given sphere by 2. The volume is the maximum space or capacity that a 3 dimensional object occupies.
volume of a sphere = [tex]\frac{4}{3}[/tex] [tex]\pi[/tex] [tex]r^{3}[/tex]
volume of an hemisphere = [tex]\frac{2}{3}[/tex] [tex]\pi[/tex] [tex]r^{3}[/tex]
In both cases, the volume is dependent on the value of radius.
The answer to the volume of a sphere/hemisphere should only be written as a function of the radius. Volume is measured in cubic units.
j+ 12 =25 find the solution to equation algebtaically
Answer:
j= 13
just subtract 12 from 25
Start by isolating the j.
Subtract 12 from both sides.
On the left, the 12 and -12 cancel.
On the right, 25 - 12 is 13.
So we have j = 13.
Suppose the probability of an athlete taking a certain illegal steroid is 10%. A test has been developed to detect this type of steroid and will yield either a positive or negative result. Given that the athlete has taken this steroid, the probability of a positive test result is 0.995. Given that the athlete has not taken this steroid, the probability of a negative test result is 0.992. Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid
Answer:
93.25% probability that they have taken this steroid
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Positive test
Event B: Taking the steroid.
Suppose the probability of an athlete taking a certain illegal steroid is 10%.
This means that [tex]P(B) = 0.1[/tex]
Given that the athlete has taken this steroid, the probability of a positive test result is 0.995.
This means that [tex]P(A|B) = 0.995[/tex]
Positive test:
99.5% of 10%(If the athlete has taken).
100-99.2 = 0.8% of 100-10 = 90%(Athlete has not taken)
Then
[tex]P(B) = 0.995*0.1 + 0.008*0.9 = 0.1067[/tex]
Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.1*0.995}{0.1067} = 0.9325[/tex]
93.25% probability that they have taken this steroid
State if the two vectors are parallel, orthogonal, or neither.
u=18i+8j
v=9i+4j
Answer:
Parallel, since [tex]\vec u = 2\cdot \vec v[/tex].
Step-by-step explanation:
The relation between both vectors is determined by the use of the dot product, whose expression is:
[tex]\cos \theta = \frac{\vec u \bullet \vec v}{\|\vec u\| \|\vec v\|}[/tex]
Where:
[tex]\cos \theta = 1[/tex] if vectors are parallel to each other and [tex]\cos \theta = 0[/tex] if vectors are orthogonal. Then, norms and dot product are calculated hereafter:
[tex]\|\vec u\| = \sqrt{18^{2}+8^{2}}[/tex]
[tex]\|\vec u\| \approx 19.698[/tex]
[tex]\|\vec v \| = \sqrt{9^{2}+4^{2}}[/tex]
[tex]\|\vec v\| \approx 9.849[/tex]
[tex]\vec u \bullet \vec v = (18)\cdot (9) + (8)\cdot (4)[/tex]
[tex]\vec u \bullet \vec v = 194[/tex]
[tex]\cos \theta = \frac{194}{(19.698)\cdot (9.849)}[/tex]
[tex]\cos \theta = 1[/tex]
The two vectors are parallel to each other, which is also supported by the fact that one vector is multiply of the other one. That is,
[tex]18i + 8j = 2\cdot (9i + 4j)[/tex]
[tex]\vec u = 2\cdot \vec v[/tex]
If the length of one base of a trapezoid is 44, the median is 36, and the other base is 2x + 10, find x.
Answer:
9
Step-by-step explanation:
The median is the average of the base lengths. Where "b" is the length of the other base, we have ...
36 = (44 +b)/2
b = 72 -44 = 28
We are told this is the same as 2x+10, so we have ...
28 = 2x +10
18 = 2x . . . . . subtract 10
9 = x . . . . . . . divide by 2
The value of x is 9.
Which equation is a linear function?
y = [tex]x^{2}[/tex] + 7
, y = [tex]\frac{2}{x}[/tex] + 3
, y + [tex]x^{2}[/tex] - 1
, y = [tex]\frac{x}{2}[/tex] - 5
25 POINTS IF YOU GET THIS ONE RIGHT! VERY HARD
Answer:1.A 2.C 3.A 4.B
Step-by-step explanation:
1. (answer) a- 257 grams.
2. (answer) c. 1.18 kilometers.
3. (answer) b. 56.
4. (answer) a. 14 7/8 pounds.
Barnes and Nobles buys a book for $14.25. They markup the price of the book by 35%.
Answer:
$19.24
Step-by-step explanation:
Take 14.25 times 1.35.
The markup rate will be 35% when the cost of the book is $14.25 and sells for $19.237.
What is the markup rate?The markup rate is computed by dividing a unit's gross profit (its sales price less its cost to create or buy for resale) by its cost.
Barnes and Noble buy a book for $14.25. They mark up the price of the book by 35%.
As per the question, we have
cost = $14.25
markup rate = 35% = 0.35
Let's x represent markup for the book,
markup rate = markup/sale price × 100%
35% = x / $14.25
0.35 = x / $14.25
x = $14.25 × 0.35
Apply the multiplication operation, and we get
x = 4.9875
So sale price = markup + cost
So sale price = $4.9875 + $14.25
So sale price = $19.237
Thus, the markup rate will be 35% when the cost of the book is $14.25 and sells for $19.237.
To learn about the markup rate click here:
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What is the area of a rectangle with sides length of 5/12 feet and 2/3 feet
Answer:
The answer is 10/36 or if you want to simplify, 5/18
Step-by-step explanation:
To solve the area of a rectangle, you need to multiply the sides with each other, so 5/12 x 2/3 is 10/36 (unsimplified) . You multiply the numerators and then the denominators and simplify.
How do I type in exponents
Answer:
on what
Step-by-step explanation: normaly you have a button that you can have certain characters
Which is a good example of a shield volcano?
A. Mauna Loa
B. Mount Saint Helens
C. Mount Vesuvius
D. Kilimanjaro
Answer:
a. Manua Loa
Step-by-step explanation:
brainliest really needed!!
Answer:
A is your answer
Step-by-step explanation:
23x6= blank+(3 x 6)
23x^6=()+(3x^6)=
We move all terms to the left:
23x^6-(()+(3x^6))=0
The value of the unknown in the algebraic equation is 120.
What is Algebra?Algebra is the branch of mathematics, that deals with the representation of numbers and values with alphabets and symbols.
An algebraic equation is an equation containing an algebraic term in it.
From the given question,
Let the blank be represented by x,
23 * 6 = x + (3 *6)
Multiply the numbers on the left side of the equation.
138 = x + (3 *6)
Multiply the expression inside bracket.
138 = x + 18
Solve the equation for x.
x = 138 - 18
x = 120
Learn more on algebra on:
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What is 10,000 steps in feet
Answer: 10,000 steps is 5 miles aka 2,000 feet
Step-by-step explanation:
Mia has a rectangle shape brownie. She cuts the brownie into 3 equal pieces.Which sentence is true ?
Answer:
The whole brownie is 3/3
Step-by-step explanation:
Hello!
This is a classic fractions exercise.
The whole brownie was cut in three equal pieces. Each piece represents 1/3 of the brownie.
If you add the three pieces together 1/3+1/3+1/3 you get the whole brownie again 3/3 = 1
-Options-
The whole brownie is 1/3.
The whole brownie is 3/3.
The whole brownie is 2/3.
The whole brownie is 3/2.
I hope this helps!
evaluate (1100000)2 - (111111)2
Answer:1.197654 10 12
Step-by-step explanation:
Answer:
:1.197654 10 12
Step-by-step explanation:
ead the question and type your response in the box provided. Your response will be saved automatically.
Two expressions are below.
M = 4(2x + 6)
N = 8x + 10
Part A:
Apply the distributive property to write an expression that is equivalent to expression M.
Part B:
Explain whether or not expressions M and N are equivalent for any value of x.
Label your answers to both parts of the problem in the response box.
Answer:
Part A: 8x + 24
Part B: Expressions M and N are not equivalent for any value of x because if you do 8x + 24 = 8x + 10, the 8x will cancel out from both sides and you are left with 24 = 10, which is not true, and therefore has no solution.
Step-by-step explanation:
For Part A, to apply the Distributive Property, you multiple the 4 with both terms in the parentheses. So, you do 4(2x) + 4(6). This expression is equal to 8x + 24.
Hope this helped! :)
Write the equation of the circle graphed below
Answer: (x-1)² + (y-2)² = 6.25
Step-by-step explanation:
The standard equation of a circle is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius. The center of this circle is (1,2) and the radius is 2.5, so the equation of this circle would be (x-1)² + (y-2)² = 6.25
Answer:
(x-1)² + (y-2)² = 6.25
Step-by-step explanation:
Shira packs 170 lemon bars in boxes for the bake sale. Each box holds 8 lemon bars. She takes home the lemon bars tha are leg over after she has filled as many boxes as possible. Ahora use partial quotients to find how many boxes of lemon bars she can fill to sell at the bake sale. She finds only two partial quotients when she divides. Use the numbers in the box to answer the questions
1 2 7 8 20 21 23 27 29
Question:
1. How many full boxes of lemon bars can Shira fill?
2. How many delicious lemon bars will she be taking home?
Answer:
1. Number of filled box = 21
2. Number of take home = 2
Step-by-step explanation:
Given
Number of lemon bars = 170
Each bar contains 8 lemon bars
Required
(1) & (2)
To calculate the number of boxes Shira can fill, we simply divide the total number of bars by constituents of each bar .
i.e.
Number of filled box = 170/8
Number of filled box = 21.25
But here, we only need the quotient of the division because it represents the filled boxed.
So,
Number of filled box = 21
Calculating the number of take home.
We'll follow the same steps as (1) above but here, we only need the remainder of the division.
When 170 is divided by 8, the remainder is 2.
So, number of boxes she'll take home is 2.
See calculation below
Number of take home = 170 % 8
Number of take home = 2
Round 299 to the nearest hundred. Enter your answer in the box below.
Answer:
300
Step-by-step explanation:
hundreds tens ones
2 9 9
We look at the tens
It is 5 or higher so we round up the hundreds place
2 becomes 3
300
Answer:
300
Step-by-step explanation:
its obv 300 because 299 is greater than 249 and if it is less than 249 it is rounded to 200.
A survey asked, "How many tattoos do you currently have on your body?" Of the 1211 males surveyed, 185 responded that they had at least one tattoo. Of the 1097 females surveyed, 130 responded that they had at least one tattoo. Construct a 90% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval. Let p 1 represent the proportion of males with tattoos and p 2 represent the proportion of females with tattoos. Find the 90% confidence interval for p 1 minus p 2.
Answer:34%
Step-by-step explanation:I think this is right but I don’t really understand
Jay earns $8 an hour when he works at his uncle’s store. He earns $9 an hour when he does yard work for his neighbor. Which expression represents the total amount he will earn in a week when he works u hours at his uncle’s store and v hours doing yard work for his neighbor?
Answer:
8u+9v
Step-by-step explanation:
Answer:
8u+9v
Step-by-step explanation:
Please help ASAP! I will mark Brainliest! Please READ the question THEN answer CORRECTLY! No guessing!
Answer:
a
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
Firstly, [tex]x^{-y} = \frac{1}{x^y}[/tex], so in this case, you multiply [tex](6^{-8})^4[/tex], which equals [tex]6^{-32}[/tex]. Then, plug it into [tex]x^{-y} = \frac{1}{x^y}[/tex] and you get
[tex]6^{-32} = \frac{1}{6^{32}}[/tex], so it's [tex]\boxed{A.}[/tex]
You roll two dice. How many ways can you
roll a sum of 8 or a sum of 10?
Answer:
5 different ways
Step-by-step explanation:
for the 8
2 and 6
3 and 5
4 and 4
for then tens
5 and 5
4 and 6
What is the quotient?
(6 * 108) = (1.5 x 10-4)
4 x 1012
4 x 104
4 x 10-32
4 * 10-2
Answer:
The first choice.
Step-by-step explanation:
6 * 10^8 / 1.5 * 10^-4
= (6/1.5) * (10^(8 - (-4))
= 4 * 10^12.
Answer:
4 x 1012
Step-by-step explanation:
What’s the answer to this question ?
Answer:
the correct choice is marked
Step-by-step explanation:
The zero-crossings at -3 and +3 tell you that one of the factors is the difference of squares:
(x +3)(x -3) = x^2 -9
The zero crossing at -1 tells you that x+1 is a factor.
So, the polynomial factors as ...
f(x) = (x^2 -9)(x +1)
Multiplying this out, we get ...
f(x) = x^2(x +1) -9(x +1)
f(x) = x^3 +x^2 -9x -9 . . . . . . matches the first choice
Omar purchased a used vehicle for $6,500 one year ago. He drove 12,000 miles during the year and kept a record of all his expenses. The variable costs totaled $1,972.50, and the fixed costs totaled $2,476.25. What was the cost per mile for Omar to operate his vehicle last year?
1 point
$0.16
$0.20
$0.37
$2.70
Answer: $0.16
Step-by-step explanation:
Hi, to answer this question we simply have to divide the variable cost ($1,972.50) by the number of miles driven (the variable; 12,000 miles)
Mathematically speaking:
1,972.50 /12000 = 0.16
The cost per mile for Omar to operate his vehicle last year was $0.16
Feel free to ask for more if needed or if you did not understand something.
