Answer:
From the law of sines, we have:
,
where x and y are the sides opposite to angles X and Y, respectively.
Substituting the known values, we have:
, thus
.
Using a calculator, we can find that arcsin(0.31)=18 degrees, approximately.
We know that sine of (180-18)=162 degrees is also 0.31. But 162 and 51 degrees add up to more than 180 degrees.
Thus, there is only one triangle that can be formed under these conditions.
Hope this helps!
Answer:
From the law of sines, we have:
,
where x and y are the sides opposite to angles X and Y, respectively.
Substituting the known values, we have:
, thus
.
Using a calculator, we can find that arcsin(0.31)=18 degrees, approximately.
We know that sine of (180-18)=162 degrees is also 0.31. But 162 and 51 degrees add up to more than 180 degrees.
Thus, there is only one triangle that can be formed under these conditions.
Hope this helps!
Step-by-step explanation:
help meeee!!!!!! i suck at math
Answer:
Its easy
Step-by-step explanation:
Just think and ask teachers for help math is easy if your good at anything else in school , then math should be easy it have to do with all that.
What is the shape of the graph of the function?
h(x) =2.05*3^x
Answer: A
Step-by-step explanation:
The five longest winning streaks for NCAA Men's Division I Basketball are listed below. Which graph would best represent the data?
A a double bar graph
B a histogram
C a bar graph
D a circle graph
Answer:
Bar graph
Step-by-step explanation:
(5 × 2) + (5 × 4) = 5 × (2 + 4)
Which picture represents this equation?
Answer:
They both equal 30, so if the question is are both equal the statement is true!
Note: I would appreciate if you give me 5 stars, a thanks, and brainiest :)
Jordana is putting a fence around a garden that is shaped like a half circle and a rectangle. A rectangle with length 28 feet and width 14 feet. A semicircle with diameter 14 feet is on top of the rectangle. How much fencing will Jordana need? Use StartFraction 22 over 7 EndFraction for Pi. 64 ft 86 ft 92 ft 114 ft
Answer: Jordana will need 92 feet of fencing
Step-by-step explanation:
Given: Length of rectangle = 28 feet
Width of rectangle = 14 feet
Diameter of semicircle = 14 feet
Therefore radius of semicircle : r = [tex]\dfrac{Diamater}{2} =\dfrac{AB}{2} =\dfrac{14}{2} =7 \text { feet }[/tex]
Now we have to find the perimeter of attached figure for putting fence around a garden
[tex]Perimeter = 2 Length +Width + \text {Circumference of semicircle }\\\\\Rightarrow Perimeter = 2\times AD+DC + \pi r\\\\\Rightarrow Perimeter = 2\times 28+14 +\dfrac{22}{7} \times 7 \\\\\Rightarrow Perimeter = 56+14+22 = 92 \text {feet}[/tex]
Hence, jordana will need 92 feet of fencing
Answer:
the answer is 92 (or C)
Step-by-step explanation:
I did the review
Mr. Sam took 1 h 15 minute drive from his home to his office.if the distance between his home and office was 50 miles, at what average speed did Mr. Sam drive?
HELP HELP HELP! Can someone pls explain this problem?
Answer:
C. A and E
Step-by-step explanation:
A function is increasing when any increase in x results in an increase in y. That is, the general direction is up to the right (/).
A function is decreasing when any increase in x results in a decrease in y. That is, the general direction is down to the right (\).
__
The given graph is increasing for the sections marked A and E. It is decreasing for the section marked C. It is neither increasing nor decreasing at the points B and D.
The appropriate choice for where the function is increasing is A and E.
What is the simplified form of the expression?
Answer:
A
Step-by-step explanation:
a. type in 2⁻³ in the calculator and you get 0.125, which is 1/8.
b. Anything to the power of 0 will equal 1. :)
Answer:
A.
Step-by-step explanation:
a.
when you have a negative exponent, the simplified value becomes a fraction:
2^-3
1/2^3
1/8
b.
any number to the power of 0 is equal to one:
(5.5)^0
1
Hope this helps :)
Subtract 75 - 50.50 = ___ using mental math
Answer:
24.5
Step-by-step explanation:
First, I subtracted 50 from 75.
75 - 50 = 25
Then, subtract 0.5 from 25.
25 - 0.5 = 24.5
I hope this helps!
At a basketball game, A team made 56 successful shots. They were a combination of 1-point and 2-point shots. The team scored 95 points in all. Right and solve a system of equations to find the number of each type of shot.
QUESTION:
There were____ 2-point shorts and____ 1-point shots.
Answer:
95/3 = 31
31 ratio for 2 and 1 then make up the difference
there were 25 point and 45 ...1 point shots
but 32 x 3 makes 96 you will see the top answer is correct 25 2 points and 45 one points as we can distribute 50 and 45 easily as a fair 6/10 and 4/10 balance of 95 just like we do to find 60% of 95 or 40% of 95.
Hi Samantha heres an example for both questions see if you can try add the items and find a multiple to 95 for this question then divide by 3 and distribute like this example below which answers your other question about popcorn.
Step-by-step explanation:
462 = revenue
282 = amount sold
$1 = small
$3 = large
1. we add the amounts together = $4
2. We divide 462/4 = 460/4 = 115 so we are 2 out
3. In our workings we show 4 less +2 less = 4 x 115 = 460 +2 =462-6
456
111 = small $1
456-111 = 345 + 6 = 351 ( large $3 as we were 4+2 less we add 6 = 351
351/3 = 119 large. (we divide by price $3)
111 = small.(we keep)
To find equations
we know know on our workings we have 111 +351 we can call these s and l
s111 + l351 = s111 + l119
462 = 230
462/230 = 2sl mean price.
=====
We plug in again to find 1
462/230 + 1 = 2sl(+l)+x
1s x 1^2 x 1l^2 x x = 1 we rearrange the 1
1s x 1^2 x 3l we replace ^2 with 1
1s x 1 x 3l = 1
1 x 3l = 1/1s
3l = 1s
====
Now we can match s and l
3 / 1 + 4 = 460l
3 / 1 = 460/4l
3 / 1 = 120l
1 x 120-3l
1 x 117l
117 ( 351/3) = L you cna try rewriting this ( ) plug in in a new equation just added to show you how it works.
l = 357 = L I wrote capitals as the l looked like a number.
When we subtract total 462- 351 = s then s = 111
When you understand minus 6 may have made things more tricky try another number where the total 462 is rounded up by 3 to 465 or 470 an work in 30's and 10's then divide by 10 may be of some help/reflection to designing equations it helps you remember alternatives to find out distribution.
The cost of 5 pairs of shoes is $108.36. What is the unit rate for cost per
pair?
Answer: 21.67 and full Answer is 21.6732
Step-by-step explanation: $108.36 divide by 5!
Joanna bought a gallon container of milk at the store. What is the volume of the container in cups?
Answer:
16 cups
Step-by-step explanation:
If Joanna bought a gallon container of milk at the store then volume of the container in cups is 16.
What is Unit of Measurement?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
Given that Joanna bought a gallon container of milk at the store.
We need to find the volume of the container in cups
1 cup= 8 ounces
1 gallon =128 ounces
So divide 128 by 8
128/8
8 is the common divisor for 128 and 8
So divide both numerator and denominator by 8
We get 16 cups
Hence, the volume of the container in cups is 16.
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Find the circumference of a circle of 1 1/2 inches.
Answer:
The circumference of a circle with radius length of 1 1/2 units is:
6.2832 units.
Step-by-step explanation:
Answer:
[tex]9.42[/tex]
Step-by-step explanation:
I used the equation [tex]C=2[/tex]π[tex]r[/tex]. I hope I could help you :))
Zack wants to make a profit of more than $300 for painting 4 identical rooms. The profit he makes is equal to the amount he is paid minus the cost of supplies. The cost of supplies is $32.50 for each room. Which inequality and solution represent the dollar amount, n, that zack must be paid for each room if he is to make a profit of more than 300$
A: n-4(32.5) > 300;n > 430
B: (n - 32.5) > 1,200; n > 332.5
C. (n-32.5)>300;n> 107.5
D 4n-32.5 > 300; n > 83.125
Answer: A
n-4(32.5) > 300;n > 430tep-by-step explanation:
given that Zack wants to make a profit of more than $300 for painting 4 identical rooms. That is
Profit > $300
Then, the profit he makes is equal to the amount he is paid minus the cost of supplies. The cost of supplies is $32.50 for each room. That is
n - 32.5 and
P + 32.5 × 4
Where 4 = number of rooms
P + 130
The minimum profit = 300 + 130 = $430
Therefore, the inequality and solution that represent the dollar amount, n, that zack must be paid for each room if he is to make a profit of more than 300$ is
n-4(32.5) > 300;n > 430
Final answer:
The correct inequality to represent the amount Zack must be paid per room to make a profit of more than $300 is C: (n-32.5) > 300; n > 107.5. After solving the inequality, it shows that n must be greater than $107.5 per room.
Explanation:
Zack aims to make a profit of more than $300 for painting 4 identical rooms. The cost of supplies per room is $32.50, and Zack's profit is based on what he's paid minus the supplies costs. To find the minimum amount, n, he needs to be paid per room to achieve this profit, we set up an inequality where the total amount paid for all rooms minus the total cost of supplies is greater than the desired profit.
The correct inequality is:
4n - 4(32.5) > 300
When simplified, this inequality becomes:
4n > 300 + 4(32.5)
4n > 300 + 130
Now, we solve for n:
4n > 430
n > 107.5
This means each room must be paid for an amount greater than $107.5 for Zack to make his desired profit. Therefore, the correct answer is C.
what is the solution to the system of equations below?
{2y=x+6
{3x=y+7
Answer:
x=4, y=5
Step-by-step explanation:
2y=x+6
3x=y+7
If you subtract 6 from both sides of the first equation, x will be isolated and you can plug it into the second equation. The new first equation is 2y-6=x, which when plugged into the second equation yields:
3(2y-6)=y+7
6y-18=y+7
5y=25
y=5
x=4
Hope this helps!
Final answer:
To solve the given system of linear equations, we use substitution to express x in terms of y from one equation and substitute it into the other, giving us the solution x = 4, y = 5.
Explanation:
The solution to a system of linear equations can be found by various methods, including substitution or elimination. The given system, which appears to be:
2y = x + 63x = y + 7This can be solved by using these methods. First, we will express one variable in terms of the other from one of the equcations and then substitute this into the second equation. Taking the first equation:
2y = x + 6
we can solve for x:
x = 2y - 6
Now, we substitute x in the second equation:
3(2y - 6) = y + 7
This simplifies to:
6y - 18 = y + 7
Now, let's solve for y by isolating it on one side:
6y - y = 7 + 18
5y = 25
y = 5
With the value of y, we can now substitute back into the equation x = 2y - 6 to find x:
x = 2(5) - 6
x = 10 - 6
x = 4
Therefore, the solution to the system of equations is x = 4, y = 5.
Evaluate 19 - 11 + (-17) + (-19) + 11
Answer:
The answer would be -17
Step-by-step explanation:
On evaluation of 19 - 11 + (-17) + (-19) + 11 will result in -17
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Using the concept that
+ - = -
On opening the brackets,
19 -11 + -17 + - 19 + 11=19-11-17-19+11
=19-19-17-11+11
=-17
Thus, 19 - 11 + (-17) + (-19) + 11 can be evaluated as -17
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A right circular cylinder has a base radius of 6 centimeters and a height of 12 centimeters. What is the volume of this cylinder? A. 432cm B.450cm C.275cm D.360cm
Answer:
The volume of the cylinder is 432π
Step-by-step explanation:
Volume of a Cylinder is, πr²h where r = radius and h = height of the cylinder.
so, πr²h = π×6²×12 = 432π
Answered by GAUTHMATH
Answer:
A) 432
Step-by-step explanation:
What is the circumference of a circle with a diameter of 12 feet? (use 3.14 for pi)
36 ft.
36.26 ft.
37.68 ft.
38 ft.
PLLLLLLLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HEEEEEEEEEEEEEEELPPPPPPPPP
Answer:
37.68 ft.
Step-by-step explanation:
Answer: [tex]37.68ft[/tex]
Step-by-step explanation:
[tex]Formula: C=\pi d[/tex]
Replace
[tex]C=(3.14)(12ft)\\C=37.68ft[/tex]
The equation y = 23.67x + 13.12 fits the scatterplot of the values for stock
ABC over the past month with an r-value of 0.9957. How much do you think
ABC will be worth at x = 28 days?
A. 13.12
B. 23.67
C. 698.74
D. 675.88
Step-by-step explanation:
The given equation is y = 23.67x + 13.12, where y is the value of the stock ABC and x is the number of days. The r-value of 0.9957 indicates a strong positive correlation between the two variables, which suggests that the equation is a good fit for predicting the value of the stock.
To find the value of the stock ABC at x = 28 days, we need to substitute x = 28 into the equation and solve for y:
y = 23.67(28) + 13.12
y = 663.76 + 13.12
y = 676.88
Therefore, the predicted value of the stock ABC at x = 28 days is $676.88.
The closest answer option is D. 675.88, but the correct answer is actually slightly higher at $676.88.
We are given a linear equation y = 23.67x + 13.12, where 'x' is the number of days and 'y' is the stock value.
Now, we need to predict the stock value for 'x' equals to 28 days. To do so, we substitute x = 28 into the equation.
Start by multiplying the given value of x with the slope:
23.67 times 28 equals 662.76.
Next, add the y-intercept to the result from the first step. So you take 662.76 and you add 13.12.
The sum is 675.88.
So, according to our calculation, the ABC stock would be worth 675.88 on the 28th day.
So, the answer is
Answer: D. 675.88.
Find exact length of the third side
Answer:
37
Step-by-step explanation:
This is a right triangle so we can find the lengths by using the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
12^2 + 35^2 = c^2
144 +1225 = c^2
1369 = c^2
Take the square root of each side
sqrt(1369) = sqrt(c^2)
37 =c
A prism has a length of 12 centimeters, height of 9 centimeters, and width of 2 centimeters.
The formula for volume of a rectangular prism is V = Bh.
The variable B stands for the .
area of the base / length/ width/ height
In this prism, B equals cm2.
2/9/12/24
The variable h stands for .
area of the base/length/height/width
In this prism, h equals cm.
2/9/12
The volume of the prism is cm3.
113/126/216/300
Volume of a Rectangular Prism:
V = lwh
Length: 12 centimeters
Height: 9 centimeters
Width: 2 centimeters
V = 12(9)2
V = 108 x 2
V = 216
V = 216cm^2
The volume of the prism is 216 cm³ with a length of 12 cm, a height of 9 cm, and a width of 2 cm. This is obtained by using the formula for the volume of a prism.
What is the formula for the volume of a prism?The volume of a prism is
V=B × h cm³
Where B is the base area of the prism and h is the height of the prism.
Calculating the volume for the given prism:For the given prism,
length l=12cm
width w=2cm and
height h=9cm
Calculating the base area:
Since the prism has length and width, it is a rectangular prism
Thus,
B = l × w sq.cm
Then, the volume of the prism becomes
V= l × w × h cm³
On substituting the values
V= 12 × 2 × 9
= 216 cm³
Therefore, the volume of the given prism is 216 cm³.
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Write an equation in which the quadratic expression 4x^2-26x+42 equals 0. Must show all work to receive credit.
Show the expression in factored form
Explain what your solutions mean for the equation in complete sentences.
HIGH POINT AND BRAIN LIST
Answer:
(a) (x + 3)(2x + 7) = 0
(b) These solutions mean that for these two x values, f(x) is equal to 0. It's also where the graph of f(x) crosses the x-axis.
Step-by-step explanation:
(a) We set 4x² -26x + 42 equal to 0:
4x² -26x + 42 = 0
Let's divide both sides by 2 to simplify this a bit:
2x² - 13x + 21 = 0
Now, we need factors a and b of 2 and c and d of 21 such that ac + bd = -13. The factors of 2 are: 1 and 2, so let's say a = 1 and b = 2. The factors of 21 are: (1, 21), (3, 7), (-1, -21), and (-3, -7). We see that if c = -7 and d = -3, this works:
ac + bd = 1 * (-7) + 2 * (-3) = -7 - 6 = -13
So, the factored form is:
(x - (-3))(2x - (-7)) = 0
(x + 3)(2x + 7) = 0
(b) So now we need to solve this. Set each of the two parenthetical expressions equal to 0:
x + 3 = 0
x = -3
AND
2x + 7 = 0
x = -7/2
These solutions mean that for these two x values, f(x) is equal to 0. It's also where the graph of f(x) crosses the x-axis.
Answer:
a) 2(x - 3)(2x - 7) = 0
b) function is 0 when x = 3 or 7/2
Step-by-step explanation:
4x² - 26x + 42 = 0
2(2x² - 13x + 21) = 0
2[2x² - 6x - 7x + 21] = 0
2[2x(x - 3) - 7(x - 3)] = 0
2(x - 3)(2x - 7) = 0
Solutions:.
x = 3, 7/2
SOMEONE PLEASE HELPP!!
Answer:
Only the x-value changes.
Step-by-step explanation:
When a point is reflected over the y-axis, it is the x-axis number that will flip it's sign.
When a point is reflected over the x-axis, it is the y-axis number that will flip it's sign.
~
The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 80 students, requires 5
chaperones, and costs $1,400 to rent. Each van can transport 10 students requires 1 chaperone, and costs $100 to rent. Since there are 800 students
in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 800 students. Since only 65 parents have
volunteered to serve as chaperones, the officers must plan to use at most 65 chaperones. How many vehicles of each type should the officers rent in
order to minimize the transportation costs? What are the minimal transportation costs?
The officers should rent
buses and
vans to minimize the transportation costs.
The minimal transportation costs are $1.
Answer:
this hard
Step-by-step explanation:
20 points
3. Gas costs $2 per gallon Which graphs represents the relationship
between gallons (x) and cost (y)? *
The equation that shows the cost of x gallons of gas is given as y = 2x
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let y represent the cost of x gallons of gas. Gas costs $2 per gallon, hence:
y = 2x
The equation that shows the cost of x gallons of gas is given as y = 2x
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Solve the system of the following equations:
x+3y=-1
2x+2y=6
(-4,1)
(2,-1)
(4,-1)
(5,-2)
Answer:
[tex](5, \: - 2)[/tex]
Step-by-step explanation:
[tex]x + 3y = - 1 \\ 2x + 2y = 6 \\ solve \: the \: equation \\ \\ x = - 1 - 3y \\ 2x + 2y = 6 \\ substitute \: the \: value \: of \: x \: into \: an \\ equation. \\ \\ 2( - 1 - 3y) + 2y = 6 \\ distribute \\ \\ - 2 - 6y + 2y = 6 \\ add \: - 6y \: to \: 2y \\ \\ - 2 - 4y = 6 \\ add \: 2 \: from \: both \: sides \\ \\ - 2y = 8 \\ divide \: both \: sides \: by \: 2 \\ \\ y = - 2 \\ substitute \: the \: value \: of \: y \: into \: an \\ equation. \\ \\ x = - 1 - 3( - 2) \\ distribute \\ \\ - 1 + 6 \\ add \: - 1 \: to \: 6 \\ \\ x = 5 \\ \\ (5, - 2)[/tex]
A bird is 58 feet off the ground and spots a worm at a 32 degree angle of depression. What is the horizontal distance from the bird to the worm?
A. 42 feet
B. 112.1 feet
C. 68 feet
D. 92.8 feet
E. None of the above
Which is a way to find the area of this rectangle?
4+3
6
Answer:
Height x Width (length x breadth)
Step-by-step explanation:
4X3=12
In a data set with a normal distribution, the mean is 59 and the standard deviation is 3.
Part A
About what percent of the data lie between 53 and 62?
A. 68%
B. 83.85%
C. 81.5%
D. 50%
Part B
Complete: About 95% of the data lie between
Answer:
a) [tex]P(53<X<62)=P(\frac{53-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{62-\mu}{\sigma})=P(\frac{53-59}{3}<Z<\frac{62-59}{3})=P(-2<z<2)[/tex]
[tex]P(-2<z<2)=P(z<2)-P(z<-2)[/tex]
[tex]P(-2<z<2)=P(z<2)-P(z<-2)=0.97725-0.02275=0.9545[/tex]
b) [tex]a=59 +1.96*3=64.88[/tex]
And for the other limit we have:
[tex]a=59 -1.96*3=53.12[/tex]
And we will have 95% of the values between (53.12, 64.88)
Step-by-step explanation:
Part a
Let X the random variable of interest of a population, and for this case we know the distribution for X is given by:
[tex]X \sim N(59,3)[/tex]
Where [tex]\mu=59[/tex] and [tex]\sigma=3[/tex]
We are interested on this probability :
[tex]P(53<X<62)[/tex]
And we can solve this using the z score:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Using the last formula we got:
[tex]P(53<X<62)=P(\frac{53-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{62-\mu}{\sigma})=P(\frac{53-59}{3}<Z<\frac{62-59}{3})=P(-2<z<2)[/tex]
And we can find this probability with this difference:
[tex]P(-2<z<2)=P(z<2)-P(z<-2)[/tex]
And uing the normal standard distribution or excel we got:
[tex]P(-2<z<2)=P(z<2)-P(z<-2)=0.97725-0.02275=0.9545[/tex]
Part b
For this part we want to find a value a, such that we satisfy this condition:
[tex]P(X>a)=0.025[/tex] (a)
[tex]P(X<a)=0.975[/tex] (b)
As we can see on the figure attached the z value that satisfy the condition with 0.95 of the area on the left and 0.05 of the area on the right it's z=1.96.
If we use condition (b) from previous we have this:
[tex]P(X<a)=P(\frac{X-\mu}{\sigma}<\frac{a-\mu}{\sigma})=0.975[/tex]
[tex]P(z<\frac{a-\mu}{\sigma})=0.975[/tex]
But we know which value of z satisfy the previous equation so then we can do this:
[tex]z=1.96<\frac{a-59}{3}[/tex]
And if we solve for a we got
[tex]a=59 +1.96*3=64.88[/tex]
And for the other limit we have:
[tex]a=59 -1.96*3=53.12[/tex]
And we will have 95% of the values between (53.12, 64.88)
In a normal distribution with mean 59 and standard deviation 3, approximately 81.85% of the data lie between 53 and 62. And about 95% of the data lie between 53 and 65, which is two standard deviations from the mean.
Explanation:In a normal distribution, about 68% of the data lie within one standard deviation of the mean, about 95% lie within two standard deviations, and about 99.7% within three standard deviations.
Part A:
The range from 53 to 62 in this case is from -2 standard deviations from the mean (56) to +1 standard deviation (62). Looking at the empirical rule, we find that about 34.13% of data fall between the mean and -1 standard deviation, and 13.59% fall between -1 and -2 standard deviations. Similarly, about 34.13% of the data fall between the mean and +1 standard deviation. Therefore, the total percentage of data lying between 53 and 62 would be
34.13% + 13.59% + 34.13% = 81.85%, so option B is the closest.
Part B:
About 95% of the data lie between two standard deviations from the mean. Therefore, you would add and subtract two times the standard deviation from the mean, which would yield 59 - 2(3) = 53 and 59 + 2(3) = 65. Thus, about 95% of the data lie between 53 and 65.
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Explain the steps necessary to convert a quadratic function in standard form to vertex form.
plz I need help!!!!!!!!!
Answer:
To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square. Let's see an example. Convert y = 2x2 - 4x + 5 into vertex form, and state the vertex. I had this question and got it right. Have a great day
Step-by-step explanation: