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Work Shown:
A = area = 6y^5
b1+b2 = sum of the parallel bases = 4y^2
h = unknown height, i.e. distance between the parallel sides
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A = 0.5*h*(b1+b2)
6y^5 = 0.5*h*4y^2
6y^5 = 0.5*4y^2*h
6y^5 = 2y^2*h
2y^2*h = 6y^5
h = (6y^5)/(2y^2)
h = (6/2)*y^(5-2)
h = 3y^3
The parallel sides are separated by a distance of 3y^3 units.
can someone help me with this?
Answer:
The answer is 660
Step-by-step explanation:
30×2200÷100= 660
Answer:
660
Step-by-step explanation:
to know 30%
2200÷10×3=660
Type the correct answer in the box. If necessary, use / for the fraction bar.
Which answer choice correctly solves for x and y?
Answer:
[tex]x = 10\\y = 5[/tex]
Step-by-step explanation:
1. Approach
The easiest method to solve this problem is to use the side ratios in a special right triangle. One should start by proving that the triangle is a (30 - 60 - 90) triangle. Since the problem gives on the information that one of the sides has a measure of ([tex]5\sqrt{3}[/tex]), one can use this combination with the ratio of the sides in a special right triangle, to find the unknown side lengths.
2. Prove this triangle is a (30 - 60 - 90) triangle
One is given a right triangle. This means the triangle has a (90) degree or right angle in it. This is indicated by a box around one of the angles. One is given that the other angle in this triangle has an angle measure of (30) degrees. The problem asks for one to find the third angle measure. A property of any triangle is that the sum of angle measures in the triangle is (180) degrees. One can use this to their advantage by stating the following:
[tex](90) + (30) + (unknown) = 180\\[/tex]
Simplify,
[tex](90) + (30) + (unknown) = 180[/tex]
[tex]120 + unknown = 180\\[/tex]
Inverse operations,
[tex]120 + unknown = 180\\[/tex]
[tex]unknown = 60[/tex]
Thus, this triangle is a (30 - 60 - 90) triangle, as its angles have the measures of (30 - 60 - 90).
3. Solve for (y)
The sides ratio in a (30 - 60 - 90) triangle is the following:
[tex]n - n\sqrt{3} - 2n[/tex]
Where (n) is the side opposite the (30) degree angle, ([tex]n\sqrt{3}[/tex]) is the side opposite the (60) degree angle and finally (2n) is the side opposite the (90) degree angle. The side (y) is opposite the (30) degree angle. This means that it is equal to the side opposite the (60) degree angle divided by ([tex]\sqrt{3}[/tex]). Therefore, one can state the following:
[tex]\frac{5\sqrt{3}}{\sqrt{3}}=y\\5=y[/tex]
4. Solve for (x)
Using the same thought process one used to solve for side (y), one can solve for side (x). The side (x) is opposite the (90) degree angle, hence, one can conclude that it is twice the length of the side with the length of (y). Therefore, one can state the following:
[tex]x = 2y\\x = 2(5)\\x = 10[/tex]
Vectors a = (1,0) and b= (1,1) are given. For what λ vector a + λb is perpendicular to vector a?
Answer:
-1
Step-by-step explanation:
Vector a=(1,0) if visualized as a line has points (0,0) and (1,0). This means the line is horizontal and has equation y=0.
This means we are looking for a vertical line.
Instead of lambda, I'm going to use u.
So we want a+ub=(1,0)+u(1,1). to vertical. If we visualize this as a line with points (0,0) and (1+u,u). We would need u=-1 so this would be vertical.
So vectors a=(1,0) and a+ub=(1,0)+u(1,1) are perpendicular for u=-1.
So we are saying vectors (1,0) and (0,-1) are perpendicular. If you draw these, you can get a visual confirmation.
The value of λ is -1 and is perpendicular to vector a.
What is Vector?A vector is a number or phenomena with two distinct properties: magnitude and direction. The term can also refer to a quantity's mathematical or geometrical representation. In nature, vectors include velocity, momentum, force, electromagnetic fields, and weight.
We have,
Vector a = (1, 0) and b = (1, 1).
Here the vector is visualized as line is horizontal and has equation y=0.
Now, we have a + λb is perpendicular to vector a.
So, a + λb = (1, 0) + λ(1, 1)
= (1 + λ, 1)
Now, to get the vertical component we must have λ= -1.
Then, a(1, 0) and a+λb= (1,0)+ λ(1, ) are perpendicular to λ=-1.
Learn more about Vector here:
https://brainly.com/question/29740341
#SPJ3
write the equation in point -slope form using this graph
Step-by-step explanation:
Step 1: Write the equation using point-slope form
Point-Slope Form: [tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]
[tex]y-0=m(x-3)[/tex]
[tex]y = m(x-3)[/tex]
Step 2: Find the slope
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{-2-0}{-2-(-3)}[/tex]
[tex]m=\frac{-2}{1}[/tex]
[tex]m=-2[/tex]
Step 3: Combine them together
[tex]y = m(x - 3)[/tex]
y = -2(x - 3)
IF NEEDED: Completely factor
[tex]y = (-2 * x) + (-2 * -3)[/tex]
y = -2x + 6
In one college, 67 students made the dean's list. If this was 33.5% of the student body, what was the total number of students in the college?
Answer:
Total number of students in the college = 200 student
Step-by-step explanation:
Given:
Number of student make dean's list = 67 student
Percentage of student make dean's list = 33.5% of all student
Find:
Total number of students in the college
Computation:
Total number of students in the college = Number of student make dean's list / Percentage of student make dean's list
Total number of students in the college = 67 / 33.5%
Total number of students in the college = 67 / 0.335
Total number of students in the college = 200 student
What is the measure of JK?
2 plus 2 is 22???????
Answer:
NO
Step-by-step explanation:
Solve for 2. Round to the nearest tenth, if necessary.
L
58
M
Answer: 2=
Submit Answer
attempt 1 out of 2
PLS HELP
Answer:
x = 46.9
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 54 = x / 58
58 sin 54 =x
x=46.92298
To the nearest tenth
x = 46.9
The population of valleytown is also 5,000 with an annual increase of 1,000. Can the expected population for Valleytown be modeled with an exponential growth fu nction ? Explan
Answer:
An annual increase of 1000 means that the number by which the population increases is constant, which means that the population cannot be modeled with an exponential growth function, it is modeled by a linear growth function.
Step-by-step explanation:
Linear growth:
The number by which it increases is constant.
Exponential growth:
The rate which it increases is constant, that is, a proportion of population.
Annual increase of 1,000.
An annual increase of 1000 means that the number by which the population increases is constant, which means that the population cannot be modeled with an exponential growth function, it is modeled by a linear growth function.
30 points PLEASE HELP!!!!
Find the volume of the pyramid.
76.34 ft3
458.06 ft3
916.11 ft3
305.37 ft3
Answer:
916.11 ft³
Step-by-step explanation:
(9×6)×7.83/2×13/3
= 211.41×13/3
= 916.11 ft³
Answered by GAUTHMATH
Answer:
916.11 ft³
Step-by-step explanation:
Is 3584 a term of the series 7+14+28+56........?
(please answer if you know; this is the question from geometric series:- General progression)
(full steps and process required)
(No spam answers or else you'll be reported )
Answer:
yes it is the 10th term in the series
Step-by-step explanation:
The nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 7 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{14}{7}[/tex] = 2 , then
[tex]a_{n}[/tex] = 7 [tex](2)^{n-1}[/tex]
Equate [tex]a_{n}[/tex] to 3584 and solve for n
7 [tex](2)^{n-1}[/tex] = 3584 ( divide both sides by 7 )
[tex]2^{n-1}[/tex] = 512 , that is
[tex]2^{n-1}[/tex] = [tex]2^{9}[/tex]
Since the bases on both sides are equal, both 2 , then equate the exponents
n - 1 = 9 ( add 1 to both sides )
n = 10
3584 is the 10th term in the series
write down the relation between the scales of temperature i.e degree Fahrenheit and degree Celsius in form of function and also write it's inverse
Answer:
C=（9F-32）/5
inverse：
Step-by-step explanation:
What are the leading coefficient and degree of the polynomial?
-12x5–8+23x+3x
Answer:
d = 5 l = 12
Step-by-step explanation:
degree = 5
leading coefficient = 12
(x+2)^2 ≠ 0 ? hihihihihihi
Please ignore what was already selected
Answer: Option 4
CE/DE
Explanation:
Sin = Opposite/Hypotenuse
In triangle DCE the opposite ( angle D ) is CE and the hypotenuse is DE
so sinD = CE/DE
Must click thanks and mark brainliest
what is 2/3 divide by 2/9
Answer:
3
Step-by-step explanation:
(2/3)/(2/9) = (2/3) * (9/2) = 3
Consider the first month's sales data for the Midwest region.
Select the correct answer from each drop-down menu.
1. 85
2. 15
3. 37
4. 18
1. Significantly different from
2. Relatively close to
1. inconsistent
2. consistent
Answer:
The correct options are:
1. Significantly different from
1. Inconsistent
Explanation:
Sales Data for Midwest:
Midwest region total stores Sales equal to 63.1%. The percentage for current store is less than total stores therefore data in the given table is not consistent. The data given is relatively for the first month sales and is significantly different from the other stores.
Answer:
In the picture
Step-by-step explanation:
From Plato / Edm
Resuelve el siguiente problema:
•Una hamburguesa y papas contienen 1300 calorías si las
papas contienen
50 calorías más que la hamburguesa. ¿Cuál será las calorías totales de la
hamburguesa y de las papas?
Answer:
x= Hamburguesa
y=Papas
y=x+50
x+y=1300
x+(x+50)=1300
2x+50=1300
2x=1250
x=625
Calorias de Hamburguesa = 625
Calorias de Papas = 625+50 = 675
state the following true or false
Answer:
c. false (it should always be neg.)
d. false
Step-by-step explanation:
Answer:
(c) True, (d) False
Step-by-step explanation:
Which
graph shows a dilation?
Answer:
There are no pictures but the dialtion would be the same figure but in an increased size. If you add pictures I can give you a more definite answer
Answer:
here you go!!
Hope it helps
Pls mark me a brainliest
Step-by-step explanation:
With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is rejected if there is at least one defective unit. The ABCD Electronics Company has just manufactured 7000 write-rewrite CDs, and 180 are defective. If 6 of these CDs are randomly selected and tested, what is the probability that the entire batch will be rejected
Answer:
[tex]P = 0.1447[/tex]
Step-by-step explanation:
Given
[tex]n = 7000[/tex] -- total
[tex]d = 180[/tex] --- defective
[tex]r = 6[/tex] --- selected
Required
The probability of rejecting the batch
This means that at least one of the selected piece is defected.
So, we first calculate the probability that all the selected piece are accepted.
So, we have:
[tex]Pr = \frac{7000 - 180}{7000} * \frac{6999 - 180}{6999}* \frac{6998 - 180}{6998}* \frac{6997 - 180}{6997}* \frac{6996 - 180}{6996}* \frac{6995 - 180}{6995}[/tex]
The denominator decreases by 1 because it is a probability without replacement; 180 is subtracted from the numerator to represent the number of non-defective CDs
So, we have:
[tex]Pr = \frac{6820}{7000} * \frac{6819}{6999}* \frac{6818}{6998}* \frac{6817}{6997}* \frac{6816}{6996}* \frac{6815}{6995}[/tex]
[tex]Pr = 0.8553[/tex]
Using the complement rule, the probability that the batch will be rejected is:
[tex]P = 1 - 0.8553[/tex]
[tex]P = 0.1447[/tex]
What is the answer to this question i really need it asap, thank you.
Answer:
sorry I could not help you but I wish you luck
lvan earned $8 each time he walks his neighbor's dog. he already walked the dog 5 times.
How many more times does her need to walk the dog to earn enough money to buy a game that costs $88
__? more times
A company wants to determine the level of interest among its employees for an annual summer picnic. The company wants to survey
200 employees.
What is the best way to randomly choose these 200 employees?
Answer: Use employee identification numbers to randomly select 200 employees
Step-by-step explanation:
Random sampling refers to a sampling technique whereby each sample has an equal chance of being selected. It is an unbiased representation of the entire population and this is vital in drawing conclusion.
From the options given, the best way to randomly choose these 200 employees will be to use employee identification numbers to randomly select 200 employees.
Find the length of side x in simplest radical form with rational denominator.
Answer:
sqrt(20)
Step-by-step explanation:
The two perpendicular side lengths are equal, so using Pythagoras theorem:
x = sqrt( sqrt(10)^2 + sqrt(10)^2 )
x = sqrt(10 + 10)
x = sqrt(20)
f(x)=-2(3)(3)+3(3)-8
Answer:
-17
Step-by-step explanation:
-2(3) = -6
-6(3) = -18
3(3) = 9
-18+9 = -9
-9 - 8 = -17
Which of the following graphs best represents the solution to the pair of equations below?
y = −x + 6
y = 2x − 3
BRAINLEST IF CORRECT!!!!
x + 133 = 180
x = 180 - 133 (Linear Pair)
x = 47
Therefore x° = 47°
Answered by Gauthmath must click thanks and mark brainliest
Answer:
47
Step-by-step explanation:
reason: Being sum of supplement angle
Which equation can be solved using the one-to-one property?
3X = 10
4In x = 2
log x = 5
4* = 47x+2
Answer:
3x=10
Step-by-step explanation:
x=10-3
x=7
i hope this answer will help u
Answer:
4x = 47x+2
Step-by-step explanation:
Using the one–to–one property, you can set x = 7x + 2.
