Answer:
The option c is the descriptive adjective in a prepositional phrases.
Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and side c is the hypotenuse.
cos(B) = 4/5 a=90
Answer:
Step-by-step explanation:
cosB = a/c = 4/5
so c = 5a/4 = 5*90/4 = 112.5
b² = c² - a² = 112.5² - 90² = 4556.25
b = 67.5
A 20,000 m^3 rectangular cistern is to be made from reinforced concrete such that the interior length will be twice the height. If the cost is $40/m^2 for the base, $100/m^2 for the side walls, and $200/m^2 for the roof, find the interior dimensions (to one decimal place) that will keep the cost to a minimum. To protect the water table, the building code specifies that no excavation can be more than 22m deep. It also specifies that all cisterns must be at least 1m deep
The volume of 20,000 m³, and the cost of $40/m², $100/m², and
$200/m², give the dimensions that give minimum cost as follows;
The height of the cistern is approximately 20.4 metersThe length is approximately 40.8 metersThe width is approximately 24.029 metersHow can the dimensions of the cistern be found?The dimensions of the cistern = L × W × H
L = 2·H
L × W × H = 20000
2·H² × W = 20000
[tex]W = \mathbf{ \dfrac{20000}{2 \cdot H^2}}[/tex]
Therefore;
A = 40·L·W + 200·L·W + 100·2·L·H + 100·2·W·H
A = 400·H² + 680·W·H
Given that the leading coefficient is positive, the function has a minimum point.
[tex]A = \dfrac{400 \cdot H^4 + 6800000 \cdot H}{H^2}[/tex]
[tex]\dfrac{d}{dH} A = \mathbf{\dfrac{d}{dH} \left( \dfrac{400 \cdot H^4 + 6800000 \cdot H}{H^2} \right)} = 0[/tex]
Which gives;
800·H⁵ - 6800000·H² = 0
800·H⁵ = 6800000·H²
H³ = 6800000 ÷ 800 = 8500
H ≈ 20.4 m
Which gives;
L ≈ 2 × 20.4 m = 40.8 m
[tex]W = \dfrac{20000}{2 \times 20.4^2} \approx \mathbf{24.029}[/tex]
The interior dimensions of the cistern are;
The height, H ≈ 20.4 m.The length, L ≈ 40.8 mWidth of the cistern, W ≈ 24.029 mLearn more about minimum value of a function here:
https://brainly.com/question/73849
What equation does the model below
represent?
Answer:
...
Step-by-step explanation:
Answer:
There is no model therefore the equation does not represent the model below
Step-by-step explanation:
Hope this helps mark brainliest please ;)
Can somebody help me figure out the tax bracket please!
Answer:
Hmmmm, very tricky question but I'll figure it out and type it in the comments
Given two parallel lines, same side interior angles are supplementary. Fill
in the blanks with the correct answers.
1. Vertical angles are
2. Same side exterior angles are
3. Alternate side interior angles are
4. Alternate side exterior angles are
5. Corresponding angles are
7) Explain how to divide $53.56 by 10 WITHOUT USING A CALCULATOR
Write down the final answer as well.
Answer: Okay first think back you surely have divided whole numbers by 10 it is the same with decimals for each 0 in the thing you are dividing it by you move the dot one to the left. So if you divide it by 10 it is 5.356 by 100 it would be 0.5356.
Hence the answer is 5.356.
Step-by-step explanation:
Hope it helps
Please can someone help me
Answer:
[A] $1500
[B] 1/4
[C] 375
Step-by-step explanation:
Given:
Priced at $1499.80
Sale for 25% off
Solve:
[A] Rounded MacBook Price:
$1499.80 → $1500
Hence, Rounded MacBook Price is $1500
[B] Estimated Discount Price:
25% ⇒ 25/100
Simplify
1/4
Hence, Estimated Discount Price: 1/4
[C] Estimated Sale Price AFTER DISCOUNT ( Do NOT include tax):
$1500 x 1/4 = 375
Hence, Estimated Sale Price after discount( not include tax) is 375.
[RevyBreeze]
R=
[tex]{ [/tex]
(x,y):y=
[tex] {x}^{2} [/tex]
[tex]}[/tex]
Step-by-step explanation:
Amongal medhanite motwal
Answer my question and get points
How many solutions do two parallel lines have?
Parallel lines don't have any solutions since they never intersect
Answer:
When the lines are parallel, there are no solutions, and sometimes the two equations will graph as the same line, in which case we have an infinite number of solutions.
Write the ratio as a ratio of whole numbers in lowest terms $1.50 to $1.20
Answer:
[tex]\frac{5}{4}[/tex]
Step-by-step explanation:
Ratio of $1.50 to $1.20
=[tex]\frac{1.50}{1.20}[/tex]=[tex]\frac{1.5}{1.2}[/tex]=[tex]\frac{15}{12}[/tex]=[tex]\frac{5}{4}[/tex]
Ratio will be [tex]\frac{5}{4}[/tex]
if you are wearing a black sweatshirt, what happens to most of the light that strikes it? (this is science but i cant find the science subject)
Answer:
The black colour will absorb the light.
In a certain normal distribution, find the mean μ when σ = 5 and 5.48% of the area lies to the left of 78.
The mean of the normal distribution, using the formula for the z-score, considering the given data, is of 86.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The standard deviation is of [tex]\sigma = 5[/tex].5.48% of the area lies to the left of 78, hence when X = 78, Z has a p-value of 0.0548, that is, Z = -1.6.Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.6 = \frac{78 - \mu}{5}[/tex]
[tex]78 - \mu = -1.6(5)[/tex]
[tex]\mu = 86[/tex]
More can be learned about the normal distribution at https://brainly.com/question/24663213
HELP!! I dont know which one is the correct answer. I'll give brainliest
Answer:
[tex]\sf g = 13.18 \ units[/tex]
explanation:
the "g" refers to the opposite side of angle G
First solve for angle E:
E + 60° + 45° = 180°
E = 180° - 105°
E = 75°
Then using sine rule:
[tex]\sf \dfrac{a}{sin(A)} = \dfrac{b}{sin(B)}[/tex]
[tex]\rightarrow \sf \dfrac{18}{sin(75)} = \dfrac{g}{sin(45)}[/tex]
[tex]\rightarrow \sf \dfrac{18*sin(45)}{sin(75)} = g[/tex]
[tex]\rightarrow \sf g = 13.18 \ units[/tex]
In the figure, m ║ n and p is a transversal. Which of the following are alternate interior angles?
A. ∠1 and ∠7, ∠2 and ∠8
B. ∠2 and ∠8, ∠1 and ∠6
C. ∠3 and ∠5, ∠4 and ∠6
D. ∠3 and ∠7, ∠4 and ∠8
I need help with this question please
Answer : It Is B Reflection Across The Y Axis
Explanation : The Triangles Are At The Exact Same Spot On The Negative And Positive Sides
Hope This Helps
◊ YusuCr ◊
The perimeter of a rectangle is 60 cm. The ratio of length to width is 3:2. Find the length and width of the rectangle.
Given :
The Perimeter of the rectangle is 60 cmThe ratio of the length to the width is 3:2.To Find :
The Length and width of the rectangle .⠀
Solution :
We know that,
[tex]\qquad{ \bold{ \pmb{2(Length + Breadth ) = Perimeter_{(rectangle)}}}}[/tex]
Let's assume the length of the rectangle as 3x inches. and the width is 2x inches.
⠀
Now, Substituting the given values in the formula :
[tex]\qquad \dashrightarrow{ \sf{2(3x + 2x )= 60}}[/tex]
[tex]\qquad \dashrightarrow{ \sf{2(6x)= 60}}[/tex]
[tex]\qquad \dashrightarrow{ \sf{12x= 60}}[/tex]
[tex]\qquad \dashrightarrow{ \sf{x= \dfrac{60}{12} }}[/tex]
[tex]\qquad \dashrightarrow{ \bf{x= 5}}[/tex]
Therefore,
[tex]\qquad { \pmb{ \bf{ Length _{(rectangle)} = 3x \: = 3(5) = 15 \: inches}}}\:[/tex]
[tex]\qquad { \pmb{ \bf{ Width _{(rectangle)} = 2x = 2(5) = 10 \: inches}}}\:[/tex]
Peter deposited 5000 ssp in the bank with an interest rate of 5% for 3 years what was the interest
Answer:
$250Step-by-step explanation:
First calculate what 1% of 5,000 is (50). Second multiply 50 by 5 (250) Now you got your answer! :)PS:Can you please mark me brainly? It would mean the world to me.
QRST WXYZ. The area of QRST is given. Find the area of WXYZ.
Answer:
b. 1296 in^2
Step-by-step explanation:
The area of a rectangle is calculated by multiplying width and length:
The length of the QRST is 144 since its width is given as 8 to find the length:
144/8 = 18 is the length of the QRST
it is stated that the two rectangles are similar so their widths and lengths are proportional.
Let x represent the width of WXYZ:
8/24 = 18/x cross multiply expressions
8x = 432 divide both sides by 8
x = 54 now we can calculate area of WXYZ
24*54 = 1296
3. Margaret has a container on her dresser in the shape of a cube. It holds her earrings. Each
edge of the container is 6 cm long. What is the volume of the container?
clo
Step-by-step explanation:
Volume of cube = 6 × 6 × 6 cm³
= 216 cm³
Afia bought shoes that were on sale for `30\%` off the regular price. Afia saved `\$12`. What was the regular price of the shoes
Answer:
$40
Step-by-step explanation:
30% = .30
$12/0.30 = 40
[RevyBreeze]
[tex][Hello,BrainlyUser][/tex]
Answer:
$40
Step-by-step explanation:
Original Price = P
30% = .30 or .3
30% of P = 12
.3P = 12
P =12/.3 = $40
~[CloudBreeze]~
Please put the letter and the answer choice that goes with it so i know which answer is for that question. (example 1. 3+3=6 or 2.T)
Answers:
Choice DChoice DChoice C=======================================================
Explanations:
Problem 1
A = (4,4)
B = (-12,8)
Vector u starts at A and ends at B. The arrow points to B.
Subtract x coordinates: xB - xA = -12-4 = -16
Subtract y coordinates: yB - yA = 8-4 = 4
The vector is u = <-16, 4> which is in quadrant Q2.
Use the pythagorean theorem to find the length of the vector.
a^2 + b^2 = c^2
c = sqrt( a^2 + b^2 )
||u|| = sqrt( (-16)^2 + 4^2 )
||u|| = 16.492
Now compute the angle
theta = arctan(b/a)
theta = arctan(4/(-16))
theta = -14.036
Add on 180 degrees so the angle lands in Q2.
-14.036+180 = 165.964
The angle is roughly theta = 165.964 degrees
------------------------------
Problem 2
A = start point = (4, 3)
B = end point = (-4, -1)
Subtract x coordinates: xB - xA = -4 - 4 = -8
Subtract y coordinates: yB - yA = -1-3 = -4
v = <a, b> = <-8, -4> which is in Q3
Use the pythagorean theorem to find the length of the vector.
a^2 + b^2 = c^2
c = sqrt( a^2 + b^2 )
||v|| = sqrt( (-8)^2 + (-4)^2 )
||v|| = 8.944
And,
theta = arctan(b/a)
theta = arctan(-4/(-8))
theta = 26.565
We need to add on 180 so we move from Q1 to Q3
26.565+180 = 206.565
------------------------------
Problem 3
The notation <-3, 4> means "move 3 units left, 4 units up".
Only vector r fits the description as we move from the initial point (5,3) to the terminal point (2,7)
In rectangle ABCD, the diagonals intersect each other at point 0 and mABD=30°.
Find BC if AC = 16 in.
Answer:
Step-by-step explanation:
The length of the diagonal BC is equal to 18.47in
Data;
m∠ABD = 30°
BC = ?
AC = 16 in
Length BC
Since the length of AC = 16in and angle m∠ABD = 30°, let us consider that the edges form a right angle triangle.
We can use trigonometric ratio to find the length BC since it is the length of the diagonal.
Since we have the value of opposite and angle, we can find the hypothenuse using sine angle.
The length of the diagonal BC is equal to 18.47in
Jeff can ran 3 miles in 22 minutes. Assuming he can run at a constant rate, how long would it take Jeff to run 8 miles?
he volume of this cube is 216 cubic yards. What is the value of d?
Answer:
do the cube root of 216
the answer is 6
because 6 * 6 * 6= 216
The concentration of platinum in a necklace is 7%. The necklace weighs 18 g. Find the amount of platinum in the necklace.
Answer:
1.26 grams
Step-by-step explanation:
18 g * 0.07 = 1.26 g
The tables in the pottery class sit 8 students each. If there are 35 students in the class, how many tables are needed?
Group of answer choices
5
4
280
4.375
Answer:
35 students
And 8 tables
So you jsut divide
35/8 = 4.375
So you have 4.375 tables but you can’t have .375 of a table so
You really need 5 tables to seat all the students.
The monthy net gains sales for a new sporting goods store were: $7195, $1484, $3224, $8807, $7185, $1730, $2573, $7071, $5360, S4331. Find the median
Answer:
$7,185 see below ↓
explanation:
With median, it is about the number that appears the most, and since the closest it gets is between $7,071 and $7,195, we have to pick the number that averages in-between which in this case is 7,185.
Below, this ↓ array proves the logic.
[tex]\left[\begin{array}{ccc}7195&7185&7071\end{array}\right][/tex]
Which tables could be used to verify that the functions they represent are inverses of each other? Select two
options.
X
-120
27
-110
2
y
-100 -95 -90
27 227627
х
- 120
-110
27
y
2
100
27
-95
227
-90
627
х -120
y 627
-110
227
-100
27
-95
2
-90
27
х
y
627 227 27
-120 -110-100
2
-95
27
-90
627
227
y -90-110
27
-100
2 27
- 110 -120
Mark this and return
Save and Exit
Next
Submit
Answer:
options. X -120 27 -110 2 y -100 -95 -90 27 227627 х - 120 -110 27 y 2 100 27 -95 227 -90 ... - did not match any news results.
Step-by-step explanation:
Based on the tables given and the functions represented, the two functions that are inverses of each other are tables 3 and 4. Therefore, the options 3 and 4 are correct answers.
What is inverse function?Inverse function is represented by f⁻¹ with regards to the original function and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.
When two functions are said to be inverses of each other, it means that the value of x is one is the corresponding value of y in the other function.
For instance, when the point is (5, 16) in one function, the other function's point would be (16,5).
Therefore, the options 3 and 4 are correct answers.
Learn more about the inverse function here:
https://brainly.com/question/2883051.
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On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 has points (0, 2), (2, 6), (6, 4), and (4, 0). Parallelogram 2 has points (2, 0), (4, negative 6), (2, negative 8), and (0, negative 2). How do the areas of the parallelograms compare? The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2. The area of parallelogram 1 is 2 square units greater than the area of parallelogram 2. The area of parallelogram 1 is equal to the area of parallelogram 2. The area of parallelogram 1 is 2 square units less than the area of parallelogram 2.
Answer:
A. The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.
Step-by-step explanation:
I just took the test
Solve for x. Please look at the picture and answer it. Thank you.
Hope it helps ~
Answer:
x=24
Step-by-step explanation:
i cant quite explain how i did it
If the width of a rectangle plot is “x” and the length of the plot is 100-x/2, what is the maximum area of the plot?
Answer:Let x = length of the plot (in meters).
Then the two lengths use up 2x meters of the fencing,
. . . leaving 100 - 2x meters for the two widths.
This means each width is (100 - 2x)/2 = 50 - x meters.
The area of a rectangle is: Length x Width
. . . so we have: . A .= .x(50 - x)
We have a <u>parabola</u>: . A .= .- x<sup>2</sup> + 50x</sup>
We know that this parabola opens down (don't we?)
. . . so its vertex must be the highest point.
We're expected to know that the vertex is at: . x = -b/2a
For this problem, a = -1, b = 50, so we have: . x = -50/(2(-1) = 25
We have maximum A when x = 25.
This leaves 50 - x = 25 for the width.
Therefore, for maximum area, make the plot a 25-by-25 square.
Step-by-step explanation:
Answer:
1250 units squared
Step-by-step explanation:
if you're allowed to use a calculator;