Answer:
sin∅ = 12/13
Step-by-step explanation:
use pythagorean theorem to find the missing side
a² + 5² = 13²
a² = 13² - 5²
a² = 169 - 25
a² = 144
a = 12
-----------------------------
Sin∅ = opp/hyp
sin∅ = 12/13
which of the following ordered pairs is a function?
Answer:
B is the correct answer--each x-value corresponds to exactly one y-value.
True or false: all animals have adaptations.
Answer:
true because all animals need to adapt in their lives
....................... is 10 times greater than three hundreds.
guys please help
Answer:
3000
Step-by-step explanation:
300×10=300
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The top of a hill rises 64 feet above checkpoint -213. What is the altitude of the hill?
The altitude of the hill whose top rises 64 feet above checkpoint -213, is 277 feet above sea level.
What is the altitude?The altitude refers to the vertical distance or height of an object or point in relation to sea level (true altitude) or ground level (absolute altitude).
The altitude of a hill refers to its height measured from the ground level or the sea level, as the case may be.
In this situation, we can compute the altitude of the hill as the difference between the rise of the hill or mountain above the checkpoint and the given checkpoint.
The rise of the top of a hill = 64 feet
Given checkpoint = -213
The altitude of the hill = 277 feet [64 - (-213)]
Thus, the position or altitude of the hilltop in relation to the ground or sea level is 277 feet.
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Write an equation for each parabola.
1. A parabola with x-intercept at (-1, 0) and (3, 0) at which passes through the point (1, -8).
2. A parabola with x-intercept at 0 and 1 and at which passes through the point (2, -2).
Problem 1
Answer: y = 2x^2-4x-6--------------------------------
Explanation:
The x intercepts are -1 and 3, meaning that (x+1) and (x-3) are factors.
This is because x = -1 leads to x+1 = 0 when you add 1 to both sides. And x = 3 leads to x-3 = 0 when you subtract 3 from both sides.
The quadratic equation would be y = a(x+1)(x-3) = a(x^2-2x-3) for some constant 'a'. Use the point (x,y) = (1,-8) to find the value of 'a'.
y = a(x^2-2x-3)
-8 = a(1^2-2*1-3)
-8 = a(-4)
-4a = -8
a = -8/(-4)
a = 2
Therefore,
y = a(x^2-2x-3)
y = 2(x^2-2x-3)
y = 2x^2-4x-6
======================================================
Problem 2
Answer: y = -x^2+x--------------------------------
Explanation:
We'll follow the same idea as the previous problem.
The factors are (x-0) and (x-1). This is the same as saying the factors are x and (x-1)
So we have y = ax(x-1) = a(x^2-x)
Plug in (x,y) = (2,-2) and solve for 'a'.
y = a(x^2-x)
-2 = a(2^2-2)
-2 = a(2)
2a = -2
a = -2/2
a = -1
The equation updates to
y = a(x^2-x)
y = -1(x^2-x)
y = -x^2+x
Answer: 1) y = 2(x + 1)(x - 3)
2) y = -(x)(x - 1)
Step-by-step explanation:
Use the Intercept form of a quadratic equation: y = a(x - p)(x - q) where
p and q are the x-intercepts (aka zeros)"a" is the vertical stretch(x, y) is another point on the line --> use to find the a-value1) p = -1, q = 3, (x, y) = (1, -8)
y = a(x + 1)(x - 3)
-8 = a(1 + 1)(1 - 3)
-8 = a(2)(-2)
-8 = -4a
2 = a
Equation: y = 2(x + 1)(x - 3)
2) p = 0, q = 1, (x, y) = (2, -2)
y = a(x - 0)(x - 1)
-2 = a(2 - 0)(2 - 1)
-2 = a(2)(1)
-2 = 2a
-1 = a
Equation: y = -(x)(x - 1)
A restaurant stores flour, rice, and sugar in three different cylindrical containers.
The height of the rice cylinder is 12in.
The volume of the flour cylinder is 50.24 in.
What is a cylinder?A cylinder is a 3-D figure that has a radius and a height.
The volume of a cylinder is given as πr²h.
Example:
The volume of a cup with a height of 5 cm and a radius of 2 cm is
Volume.
= 3.14 x 2 x 2 x 5
= 62.8 cm³
We have,
Sugar cylinder:
radius = 2.5 in
height = 8 in
Volume.
= πr²h
= 3.14 x 2.5 x 2.5 x 8
= 157 in²
Rice cylinder:
radius = 2.5 in
height = h
Volume = πr²h
Volume = 235.5 in²
πr²h = 235.5
3.14 x 2.5 x 2.5 x h = 235.5
196.26 x h = 235.5
h = 12 in
Flour cylinder:
Area of base = 12.56 in²
height = 4 in
Volume = x
Area of base = πr²
12.56 = 3.14 x r²
r² = 12.56/3.14
r² = 4
r = 2
Now,
Volume.
= πr²h
= 3.14 x 2 x 2 x 4
= 50.24 in²
Thus,
The solution for each cylinder is given above.
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This figure is made up of a rectangle and parallelogram.
What is the area of this figure?
Enter your answer in the box. Do not round any side lengths.
units²
Coordinate plane with axes labeled x and y. A closed figure is formed by a parallelogram and rectangle. The vertices are negative 6 comma negative 1, 2 comma 1, 2 comma 7, 3 comma 3, 3 comma negative 3, and negative 5 comma negative 5.
9514 1404 393
Answer:
40 units²
Step-by-step explanation:
You can figure the side lengths using the distance formula, or you can use a formula for finding area from coordinates. The latter looks like ...
\(\displaystyle A=\dfrac{1}{2}\left|\sum\limits_{k=1}^n{x_k(y_{k-1}-y_{k+1})}\right|\qquad\text{where $y_0=y_n$ and $y_{n+1}=y_1$}\)
So, the area is ...
A = (1/2)|(-6(-5-1) +2(-1-7) +2(1-3) +3(7+3) +3(3+5) -5(-3+1)|
= (1/2)|36 -16 -4 +30 +24 +10| = (1/2)(80)
A = 40
The area of the figure is 40 units².
Birthday polynomial project 09/28/2004?
Triangle HIJ is similar to triangle KLM find the measure of side KL around your answer to the nearest tenth if necessary
The measure of side KL from triangle KLM is 22 units.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Given that, triangle HIJ is similar to triangle KLM.
From the similar triangles,
JH/MK =HI/KL
31/13.9 =49/KL
31KL=49×13.9
31KL=681.1
KL=681.1/31
KL=21.97
KL≈22
Therefore, the measure of side KL is 22 units.
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Which doubles fact helps help you solve 5+6=11
We have to double 5 and add 1 to get the same result.
5 + 5 + 1 = 11
We can also double 6 and subtract 1 to get the same result.
6 + 6 - 1 = 11
Hope this will helpful.
Answer:
They can use counters or their fingers, but they can also use doubles facts. If they know 5 + 5 = 10, they know that the sum of 5 + 6 will be one more. Thus, 5 + 6 = 11. Practice solving other doubles-plus-one facts together, such as 3 + 4, 7 + 8, and 9 + 8.
There are 100 pennies in a dollar.What fraction of a dollar is 61 pennies?Write it as a fraction,as a decimal,and in word from.
Answer:
61/100, 61%, 0.61, sixty-one percent, sixty-one one hundredths
Step-by-step explanation:
61/100
61%
0.61
sixty-one percent
sixty-one one hundredths
pls help me solve this
The results of operations between vectors are, respectively:
Case A: u + w = <- 3, - 1>
Case B: - 6 · v = <6, 6>
Case C: 3 · v - 6 · w = <- 21, - 15>
Case D: 4 · w + 3 · v - 5 · u = <39, 4>
Case E: |w - v| = √(4² + 3²) = 5
How to determine the operations between vectors
In this problem we must determine the operations between vectors, this can be done by following definitions:
Vector addition
v + u = (x, y) + (x', y') = (x + x', y + y')
Scalar multiplication
α · v = α · (x, y) = (α · x, α · y)
Norm of a vector
|u| = √(x² + y²)
Now we proceed to determine the result of each operation:
Case A:
u + w = <- 6, - 3> + <3, 2>
u + w = <- 3, - 1>
Case B:
- 6 · v = - 6 · <- 1, - 1>
- 6 · v = <6, 6>
Case C:
3 · v - 6 · w = 3 · <- 1, - 1> - 6 · <3, 2>
3 · v - 6 · w = <- 3, - 3> + <- 18, - 12>
3 · v - 6 · w = <- 21, - 15>
Case D:
4 · w + 3 · v - 5 · u = 4 · <3, - 2> + 3 · <- 1, - 1> - 5 · <- 6, - 3>
4 · w + 3 · v - 5 · u = <12, - 8> + <- 3, - 3> + <30, 15>
4 · w + 3 · v - 5 · u = <39, 4>
Case E:
|w - v| = |<3, 2> - <- 1, - 1>|
|w - v| = |<4, 3>|
|w - v| = √(4² + 3²) = 5
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Approximate -10 + √30 to the nearest tenth.
O-5.5
O-4.5
04.5
O5.5
Answer:
(b) -4.5
Step-by-step explanation:
Choosing the correct answer here is not the same as knowing what the correct value is.
EstimateYou know that √30 < √100 = 10, so the sum must be negative. That is, 10 subtracted from a positive number less than 10 will give a negative result.
You know that 25 < 30 < 36, so √25 < √30 <√36. That is, √30 will be between 5 and 6. If we say √30 ≈ 5.5, then the sum is ...
-10 +√30 ≈ -10 +5.5 = -4.5
__
Additional comment
Of course, a calculator can tell you the value to the desired precision.
50 POINTS!!!! PLEASE HELP
Examine this figure.
What postulate or theorem is used to prove∠3≅∠7?
Responses
alternate exterior angle theorem
same-side interior angle theorem
corresponding angle postulate
same-side interior angle theorem
Corresponding angle postulate
Corresponding angles:
When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position.
Here we need to prove ∠3 ≅ ∠7
From the properties of the two parallel line cut by the transversal line, these angle is corresponding angles.
i.e., ∠3 ≅ ∠7 (by the properties of the corresponding angles)
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What is the area of the figure?
10 feet
10 lect
2 feet
2 foot
16 feet
962
O 34
40?
O can't be determined
We can break it into two parts.
-> First, the rectangle on the bottom is made up of 2 feet x 16 feet. The formula for area of a rectangle is length times width, so in this case it is equal to 32 feet
-> Next, the triangle has sides of 10 feet, 10 feet, and 16 feet. We can calculate that the height is 6. The formula for area of a triangle is base times height divided by two, so, \(\frac{16*6}{2}= \frac{96}{2} =\) 48 feet
-> Last, we can add the two totals together. 32 feet + 48 feet = 80 feet giving us our final answer of 80 feet². As this answer is not pictured I am going to assume they are not including Heron's formula or other more complex formulas, leading us to the answer of "can't be determined"
Answer:
O can't be determined
Have a nice day! - Note: It depends on the level of your math class for whether the answer "cannot be determined" is correct as it can be determined, just takes more effort than simple one - two-step formulas.
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
★ Also please leave the rating you think I deserve (It helps other users as well as myself)
- Heather
The domain and ranger of a linear function is always all real numbers true or false ?
Answer:
Step-by-step explanation:
The domain and range of a linear function is always real numbers (T or F)
It is True. This is because of a couple of reasons.
1.) You cannot divide by 0.
2. A negative number cannot have its square root taken.
The range is determined by the domain in a linear function, and thus it must always consist of real numbers.
How often should you visit your courses
In D2L
It is recommended that you visit your courses on D2L frequently, ideally at least once a day, to stay up-to-date with any new announcements or assignments posted by your instructor. This will help you stay on track with your coursework and prevent you from falling behind. Additionally, regular visits to your courses can help you participate in discussions with your peers and ask questions if you are unsure about any of the material. It's important to remember that online learning requires a high level of self-discipline and responsibility, so making a habit of checking in on your courses regularly can contribute to your overall success in the class.
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Write the equation of the line shown in slope-intercept form.
Answer:
y = -1/3 + 2
Step-by-step explanation:
y = mx + b
b = y-intercept
m = slope
Answer:
y = -1/3 + 2
Hope this helps!
A verbal description of a linear function f is given. Express the function f in the form
f(x) = ax + b.
The linear function g has rate of change −16 and initial value 600.
The linear function g which has a rate of change of -16 and initial value 600 is; g = -16x + 600.
What is the linear function which is as described?It follows from the task content that the linear expression which is as described by the given verbal description is to be determined.
Since the standard slope-intercept form of a linear function is as given; f(x) = ax + b.
Where, a = slope (rate of change) and b = y-intercept (initial value).
Therefore, the required linear function which is as described is;
g = -16x + 600
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A bus is scheduled to leave the terminal at 10:15 in the morning and travel for 5 3/4 hours to Bally city. If the bus leaves the terminal 35 minutes late, when will it arrive in Bally city?
Answer:
Step-by-step explanation:
3/4 hours=3/4×60=45 minutes
10:15+5.45 hrs=16:00+0:35=16:35=4.35 pm
so C
14Y - 7y = 35. solve for y
Answer:
y = 5
Step-by-step explanation:
\(14y-7y=35\\7y=35\\y=5\)
14 minus 7 is 7
7Y is equal to 35
divide both sides by 7 is equal to 5
HELP!!! Simplify the expression
Answer: (3x^2)(y^3√y)
Step-by-step explanation:
1. To simplify the radical
> break the radicand (the number under the radical sign) into a product (the result of two numbers being multiplied together) of known factors.
2. Assume all numbers are real.
Enter the digits that can replace
6583 <6_ 12<6687
The digits fit in the _ are? _ _ _
Answer:
The digit that fit into the blank space is 6
Step-by-step explanation:
Here, we want to enter digits into the blank space that can make the expression valid.
Let’s try 6;
6583 < 6612 < 6687
This is actually correct.
Can we have any other digit here?
No, i don’t think so.
Putting in a 5 will make the first number greater than the middle
Putting in a 7 will make the middle number greater than the last and thus render the expression invalid
Which choice is equivalent to the quotient below?
√14
2√2
OA.
B.
S AS
O C.
OD. T
Answer:
Step-by-step explanation its c
Decide whether the rates are equivalent. Maria saves $50 in 4 months.
Ralph saves $60 in 5 months
Answer:
The rates are not equivalent since Maria saves $0.50 more per month than Ralph.
Step-by-step explanation:
We can determine if two rates are equivalent by comparing the rates at which they save per month.
Maria's savings per month:
Both 50 and 4 can be divided by 2, which gives us 25/2. As a regular number, this becomes 12.5/1 which means Maria saves $12.5 per month.
Ralph's savings per month:
Both 60 and 5 can be divided by 5, which gives us 12. Thus, Ralph saves $12 per month.
Thus, the rates are not equivalent as Maria saves $0.50 more per month than Ralph.
Less than, greater than, or equal to
Answer:
equal to
Step-by-step explanation:
when two negatives are multiplied they cancel out leaving the positive 5. This means they are equal. 5=5
The library has 27 chairs and 5 tables. If the same nur chairs can be placed at each table? Will there be any
Answer:
no
Step-by-step explanation:
27 divided by 5 = 5.4 so there would not be enouph
Answer:
Each table will have 5 chairs, with 2 chairs leftover.
Step-by-step explanation:
27 divided by 5 equals 5 with a remainder of 2.
What is the slope of the line that passes through the points (-2, 2), and (-4, -2)?
-1/2
2
-2
1/2
Answer:
The slope would be 2
Step-by-step explanation:
Please brainliest!
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And tell me If I am wrong! :D
A person invests 4000 dollars in a bank. The bank pays 5.75% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 5900 dollars?
Answer:
t = 6.8 years
Step-by-step explanation:
The formula for compound interest is
\(A(t)=P(1+r/n)^n^t\), where P is the principal/amount invested, r is the interest rate, n is the number of compound periods per year (4 for quarterly), and t in the time in years.
We know that A = $5900, P = $4000, and r = 0.0575 (we must convert the percentage to a decimal). We must solve for t and round to the nearest tenth:
\(5900=4000(1+0.0575/4)^(^4^t^)\\\\59/40=(1623/1600)^4^t\\\\log(59/40)=log(1623/1600^4^t)\\\\log(59/40)=4t*log(1623/1600)\\\\log(59/40)/log(1623/1600)=4t\\\\1/4(log(59/40)/log(1623/1600))=t\\\\6.80773607=t\\\\6.8=t\)
4/ 27 to ten decimal place
The required value of 4/ 27 to tenth decimal places is 0.1.
To determine the 4/ 27 to the tenth decimal place.
Decimals is defined as one of the digits, which has a number and the fractional part separated by a decimal point after the whole number.
What is a recurring decimal?Recurring Decimal is defined as also named repeating decimal, is a decimal number that only consists of repeating digits after a certain interval after the decimal. For example, 94.642642642..., 213.569569... etc.
Here,
= 4 / 27
dividing 4 by 27
4/27 = 0.148148148148148
now round of the above digit to tenth decimal place means place after the decimal is tenth place. So,
= 0.1
Thus, the required value of 4/ 27 to tenth decimal place is 0.1.
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