Answer:
[tex] \rm T = \dfrac{6 B + 4}{R} [/tex]
Step-by-step explanation:
[tex] \rm Solve \: for \: T: \\ \rm \longrightarrow B = \dfrac{R T - 4}{6} \\ \\ \rm B = \dfrac{R T - 4}{6} \: is \: equivalent \: to \: \dfrac{R T - 4}{6} = B : \\ \rm \longrightarrow \dfrac{R T - 4}{6} = B \\ \\ \rm Multiply \: both \: sides \: by \: 6: \\ \rm \longrightarrow R T - 4 = 6 B \\ \\ \rm Add \: 4 \: to \: both \: sides: \\ \rm \longrightarrow R T = 6 B + 4 \\ \\ \rm Divide \: both \: sides \: by \: R: \\
\rm \longrightarrow T = \dfrac{6 B + 4}{R} [/tex]
Help me please please
Answer:
Hold on a sec I need paper
Maria is decorating her school's cafeteria for the end-of-year dance. The dimensions of the room are labelled below. What
is the smallest length of streamer that will go around the entire perimeter of the room? Round your answer to the nearest
foot.
Answer:
50ft!
Step-by-step explanation:
The smallest length of streamer that will go around the entire perimeter of the room is equal to the perimeter of the room. To find the perimeter, we add the lengths of each side of the room. Not all of the walls are labelled with a length, so we need to find these missing lengths before we can add. If we look at the bottom of the room, we can see that the total width must be 8′+2′+2′=12′.
Now that we know the width of the room, we can find the diameter of the half- circle section on the top. The diameter is the total length minus the 6′ and 2′ foot sections to the right. Therefore, the diameter of the half- circle is 12′−6′−2′=4′ and the radius is 2′. The circumference of a circle is 2′⋅πr but we only have half of a circle so the circumference of the half- circle is half of 2πr or just πr. Substituting r=2′ results in πr=2π≈6.28′.
To find the length of the long wall on the right we subtract the 2′ section at the top, from the length of the side, which is 10′. Therefore, the long wall on the right is 8′.
Now we need to find the circumference or perimeter of the circle. The fully labelled dimensions are below.
A geometric figure.
Staring in the lower left vertex, a figure has a side that goes up 10 feet, has a semicircle going to the right with a radius of 2 feet, goes to the right 6 feet, down 2 feet, right 2 feet, down 8 feet, left 2 feet, up 2 feet, left 2 feet, down 2, feet, left 8 feet back to the original point.
Therefore, the perimeter of the room is
6.28′+6′+2′+2′+8′+2′+2′+2′+2′+8′+10′=50.28′
which we'll round to 50′.
50 feet is the smallest length of streamer that will go around the entire perimeter of the room
What is Area of Rectangle?The area of Rectangle is length times of width.
We have to find the perimeter of each shape in the given figure and add them to get the length of streamer.
To find the perimeter firstly we have to find the missing lengths in the figure
The figure has rectangle, squares and semicircle.
We have to find all the perimeters.
Staring in the lower left vertex, a figure has a side that goes up 10 feet, has a semicircle going to the right with a radius of 2 feet, goes to the right 6 feet, down 2 feet, right 2 feet, down 8 feet, left 2 feet, up 2 feet, left 2 feet, down 2, feet, left 8 feet back to the original point.
Therefore, the perimeter of the room is
6.28′+6′+2′+2′+8′+2′+2′+2′+2′+8′+10′
=50.28′
Hence, 50 feet is the smallest length of streamer that will go around the entire perimeter of the room
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1. Find the distance from A to B. Explain how you found this distance.
Write your answer in the space below.
Answer:
6 units (shortest distance)
Step-by-step explanation:
Assuming the question asks for the shortest distance:
To find the distance, count the squares from A to B.
There are six squares between A and B. The distance is 6 units.
Directions are on the picture. I just need to figure out
Answer:
Bruh so easy hahahahahaha
You roll a fair six-sided die twice. Find the probability of rolling a 5 the first time and a number greater than 2 the second time.
Answer:
The probability is 1/9
Step-by-step explanation:
The probability of rolling a 5 the first time is 1/6
The probability of rolling a number greater than 2
Numbers greater than 2 are; 3,4,5,6
So the probability of rolling a number out of this four is 4/6
Hence, the probability of rolling a five for the first time and the probability of rolling a number greater than 2 the second time will be;
1/6 * 4/6 = 4/36 = 1/9
PLZZ HELP
On a map of a school, 3 inches represents 9 ft how many inches would represent 1 foot 6 inches.
The number of inches would represent 1 foot 6 inches so the ratio of inches to foot remains the same will be 0.5 inches.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
3 inches represents 9 feet
The ratio of inches to foot = 3/9
Let's say the number of inches in 1 foot and 6 inches (1.5 foot) is x.
The ratio of inches to foot = x/1.5
Both ratios must be the same,
x/1.5 = 3/9
x = 1.5(3/9) = 0.5 inches
Hence "The number of inches would represent 1 foot 6 inches so the ratio of inches to foot remains the same will be 0.5 inches:".
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10 over 3 as a percent please help
It's 33.333333333333%
Solve the equation 5y+10x=30 for y.
0
y = 2x + 6
y = -2x + 6
y = 2x - 6
y = -2x - 6
Answer:Y= 6 - 2x
Step-by-step explanation:move all terms that dont contain y to the right side
When we solve the algebraic equation 5y + 10x = 30 for y, y = -2x + 6.
What are algebraic equations?Algebraic equation is statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.
5y + 10x = 30
y + 2x = 6
y = -2x + 6
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What is 56(cos(33°) + i sin(33°)) ÷ 7(cos(11°) + i sin(11°))?
8(cos(3°) + i sin(3°))
49(cos(3°) + i sin(3°))
8(cos(22°) + i sin(22°))
49(cos(22°) + i sin(22°))
C. <3
pls give brainlyist
[tex]56(cos(33^{\circ}) + i sin(33^{\circ})) \div 7(cos(11^{\circ}) + i sin(11^{\circ}))\\\\=8(cos(22^{\circ}) + i~ sin(22^{\circ}))[/tex]
What is complex number?"The number of the form a + ib, where a, b are real numbers and [tex]i=\sqrt{-1}[/tex]"
What is De Moivre's theorem?"This theorem gives a formula for computing powers of complex numbers.
[tex](r(cos\theta+i~sin\theta))^n=r^n~(cos(n\theta)+i~sin(n\theta))[/tex] "
For given question,
We need to divide two complex numbers.
[tex]56(cos(33^{\circ}) + i sin(33^{\circ})) \div 7(cos(11^{\circ}) + i sin(11^{\circ}))[/tex]
Consider,
[tex]56(cos(33^{\circ}) + i~ sin(33^{\circ})) \div 7(cos(11^{\circ}) + i ~sin(11^{\circ}))\\\\=8[(cos(33^{\circ}) + i~ sin(33^{\circ})) \div (cos(11^{\circ}) + i ~sin(11^{\circ}))][/tex] ...........(i)
Consider the first complex number.
[tex](cos(33^{\circ}) + i sin(33^{\circ}))[/tex]
We can write this complex number as,
[tex]cos(3(11^{\circ}) )+ i sin(3(11^{\circ}))[/tex]
By De Moivre's theorem,
[tex]cos(3(11^{\circ}) )+ i~ sin(3(11^{\circ}))\\\\=(cos(11^{\circ})+ i~ sin(11^{\circ}))^3[/tex]
Substitute this value in (i),
[tex]56(cos(33^{\circ}) + i~ sin(33^{\circ})) \div 7(cos(11^{\circ}) + i ~sin(11^{\circ}))\\\\=8[(cos(33^{\circ}) + i~ sin(33^{\circ})) \div (cos(11^{\circ}) + i ~sin(11^{\circ}))]\\\\=8[(cos(11^{\circ}) + i~ sin(11^{\circ}))^3 \div 7(cos(11^{\circ}) + i~ sin(11^{\circ}))]\\\\=8[(cos(11^{\circ}) + i~ sin(11^{\circ}))^2]\\\\=8[(cos(2\times 11^{\circ}) + i~ sin(2\times 11^{\circ}))]~~~~~~~~~.............(De~Moivre's~theorem )\\\\=8(cos(22^{\circ}) + i~ sin(22^{\circ}))[/tex]
Therefore, [tex]56(cos(33^{\circ}) + i sin(33^{\circ})) \div 7(cos(11^{\circ}) + i sin(11^{\circ}))[/tex] is [tex]8(cos(22^{\circ}) + i~ sin(22^{\circ}))[/tex]
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Eight years ago, Ian invested in Rayje Clothiers. He purchased five par value $1,000 bonds issued by Rayje Clothiers at a market value of 94.956, each of which yields interest of 7.5%. Ian also bought 250 shares of Rayje Clothiers stock at $17.22 apiece. Bonds from Rayje Clothiers yield interest of 7.5%, and stock from Rayje Clothiers yields dividends of $1.09 yearly. Today, Rayje Clothiers bonds have a market value of 108.224 and Rayje Clothiers stock sells for $19.96 per share. If Ian liquidates his portfolio and sells off all of his investments, which aspect of his investment in Rayje Clothiers will yield the greater total profit, and how much greater will it be?
Answer:
The bonds yielded $798.40 more in profits than the stocks.
Step-by-step explanation:
egde
HELP ILL GIVE BRAINLIEST!!! Which is enough information to prove that s || * ? 1\2 4 3 5 \6 t 021-23 22:28 25+26= 180° 1+ 24 = 180° +
Answer:
The second answer choice
Step-by-step explanation:
Angle 2 is congruent to angle 8.
simplify. -2 3/4 -1 2/3
Answer:
-4 5/12
Step-by-step explanation:
-2 3/4 - 1 2/3
3/4*3/3= 9/12 2/3*4/4= 8/12
-2 9/12 - 1 8/12
-3 17/12
-4 5/12
A solar panel dealer acquires is used panel for $9,000, with terms FOB shipping point. Compute total inventory cost assigned to the used panel if additional costs include $1,500 for sales staff salaries. $280 for transportation-in by train. $110 for online advertising. $135 for shipping insurance. $550 for used panel restoration. $300 for lawn care.
Answer:
Total inventory cost is $9,965.
Step-by-step explanation:
The terms free on board FOB shipping point implies that the delivery of a good is taken by the buyer after it left the supplier's shipping dock. Therefore, any other relevant cost incurred afterwards will be paid by the buyer.
From the all the cost listed in the question, the $1,500 for sales staff salaries, $110 for online advertising, and $300 for lawn care are NOT related to the inventory cost because they are administrative and sales expenses.
Therefore, the total inventory cost can be calculated using the following relevant cost:
Acquisition cost = $9,000
Transportation-in by train = $280
Shipping insurance = $135
Used panel restoration = $550
Therefore, we have:
Total inventory cost = Acquisition cost + Transportation-in by train + Shipping insurance + Used panel restoration = $9,000 + $280 + $135 + $550 = $9,965.
#1: The graph shows the distance Darius traveled on his vacation. What is the unit rate and what does it represent?
*see attachment for the graph
Answer:
Unit rate = 50
It means 50 miles per hour
Step-by-step explanation:
On the graph given, two points are noted in the line. They are (2, 100) and (5, 250).
The graph is a proportional graph because the line passes through the point of origin, (0, 0). Thus, unit rate of variable x and y of this kind of graph = y/x.
Using one of the points, (2, 100):
Unit rate = y/x = 100/2 = 50.
This means Darius traveled 50 miles per hour.
Can someone please help me
Answer: $40 OFF any coat
Step-by-step explanation:
Well...this particular coupon is for any coat and if the coat she wants costs $55, 55 - 40 is 15. She would only have to pay $15 for the coat she wants. I'm a bit suspicious about the other coupon because it says "any item" but %60 of 55 would leave her to pay 33 dollars. So $40 off any coat is the best choice.
What is the equation of a line that is perpendicular to the line y = 2x + 4 and passes through the point (–2, 3)?
A. y = –12x + 2
B. y = 2x + 2
C. y = –12x + 4
D. y = 2x + 4
Answer:
3=-1/2(-2)+b
solve
3=1+b
2=b
b=2
now that we have the slope and y intercept of the equation construct your equation:
y=-1/2x+2
Neither of these answers are correct. I graphed them all and not a single one passed through (-2, 3)
Additionally, the slopes of B and D are inncorrect and lines A and C dont pass through the point (-2, 3) the only correct equation is y=-1/2x+2
I graphed it and it was valid
Maybe ask your teacher if there were any mistakes?
Step-by-step explanation:
96 people have been invited to a banquet each table table can seat 12 people how many tables do you need
Answer:
You would need 8 tables
Step-by-step explanation:
96/12
Over what interval does f(x) = 3* increase faster than g(x) = 9x?
A. 0 < x < 3
B. x > 3
C. 0
D. 2
Answer: B. x > 3
Step-by-step explanation:
Determine which situation could be represented by the system of linear equations given below.
2x + 4y = 160
x + y = 50
A. Jane sells beaded bracelets for $2 each and beaded necklaces for $4 each. She sold 50 pieces of jewelry at the craft fair last weekend and made $160.
B. Kevin bought 2 pairs of jeans and 4 shirts at the mall. He spent $50. Another person bought 1 shirt and 1 pair of jeans for $160.
C. Two principals and four teachers donated a total of 160 cans of soup to the school can drive. The two biggest donors gave 50 cans between them.
D. An ice cream shop sells sundaes for $2 each and cones for $4 each. They made $50 over the course of 2 hours and sold a total of 160 items.
Answer: Jane sells beaded bracelets for $2 each and beaded necklaces for $4 each. She sold 50 pieces of jewelry at the craft fair last weekend and made $160.
Step-by-step explanation: I just answer this and it's correct.
Answer:
option B
Step-by-step explanation:
5 friends go out to lunch and order 3 large pizzas. the friends divided the pizzas evenly. How much pizza did each friend get in decimal?
Answer:
1/5 or 0.2
Step-by-step explanation:
If you cut a pizza into 5 slices, and you give the same amount to each of 5 friends, each friend will get 1 slice. If there are multiple pizzas then multiply 0.2 by the number of pizzas.
HELPPPPP PLEASEEEE!!!
Answer:
[tex]\frac{1}{5^{2}}[/tex]
What is the value of x?
Answer:
x = 6°
Step-by-step explanation:
a square has 4 right angles, and the lines on the lines dividing the angles show that the lines are congruent, meaning that all of the right angles are being divided in half. If one right angle is equal to 90° that means that you have to set the equation equal to 45° (half of 90°) to find x.
7x + 3 = 45°
-3 -3
7x/7 = 42°/7
x = 6°
hope this helps!
Fumio performed the following operations on vectors u, v, and w, where u = ⟨6, –8⟩, v = ⟨1, 2⟩, w = ⟨3, –3⟩ 2u – 3(v + w) 2 ⟨6, –8⟩ – 3[⟨1, 2⟩ + ⟨3, –3⟩] ⟨12, –8⟩ – 3⟨4, –1⟩ ⟨12, –8⟩ + ⟨–12, 3⟩ ⟨0, –5⟩ What mistake did Fumio make? He did not distribute the 2 to both components of vector u. He added vectors v and w before distributing the –3 to their components. He subtracted vector w from vector v. He did not use the associative property correctly when rearranging the signs.
Answer:
(A) on edge
He did not distribute the 2 to both components of vector u.
Step-by-step explanation:
The -8 in his work did not change to -16 as it should if it was multiplied by 2
Correct on edge
Answer:
it's a
Step-by-step explanation:
The following is a student solution to the inequality
5/18 - x-2/9
The bill at a restaurant came to $136.40. The customers decided to leave a 20% tip. What was the total bill including tip? *
Answer:
$163.68
Explanation:
136.40 times 20% or 0.2 = 27.28
27.28 +136.40 = $163.68
Matthew cleaned the garage in 2.5 hours he was paid x dollars per hour he then spent $3 and had $12 remaining how much was he paid per hour?
The amount that Matthew was paid per hour is given as follows:
$6.
How to obtain the amount that Matthew was paid per hour?The amount that Matthew was paid per hour is obtained applying the proportions with the amounts given in this problem. A proportion is a fraction of a total amount, using to obtain amounts in the context of a problem.
He then spent $3 and had $12 remaining, hence the total amount earned is calculated as follows:
x - 3 = 12
x = 12 + 3
x = $15.
(total amount - spent amount = remaining amount).
He earned $15 in 2.5 hours, hence the amount that Matthew was paid per hour is found applying the division of 15 by 2.5, as follows:
15/2.5 = $6.
(amount per hour = total amount divided by the number of hours).
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How to use discounts in our daily life?
prove that sin²∅+cos²∅=1 ?
Step-by-step explanation:
Let ABC be a right angled triangle where there's a right angle in B . Let the measure of the angle BAC be ∅. So,
[tex] \sin(∅) = \frac{BC}{AC} [/tex]
[tex] = > {\sin}^{2}∅ = \frac{ {BC}^{2} }{ {AC}^{2} } [/tex]
Also,
[tex] \cos(∅) = \frac{AB}{AC} [/tex]
[tex] = > { \cos}^{2}∅ = \frac{ {AB}^{2} }{ {AC}^{2} } [/tex]
Now adding the values of sin^2∅& cos^2∅,
[tex] { \sin}^{2} ∅ + { \cos}^{2} ∅ = \frac{ {BC}^{2} }{ {AC}^{2} } + \frac{ {AB}^{2} }{ {AC}^{2} } [/tex]
[tex] = > { \sin}^{2} ∅ + { \cos}^{2} ∅ = \frac{ {AB}^{2} + {BC}^{2} }{ {AC}^{2} } [/tex]
But we know that
[tex] {AC}^{2} = {AB}^{2} + {BC}^{2} [/tex] by applying Pythagorean Theorem
So ,
[tex] = > { \sin}^{2} ∅ + { \cos}^{2} ∅ = \frac{ {AC}^{2} }{ {AC}^{2} } = 1[/tex]
Write the equation of the line that is perpendicular to the line y = 5 and passing through the point (2,-5).
Step-by-step explanation:
y=5
hence the gradient of the equation is 0
so gradient of perpendicular line
m1m2=-1
0=-1 hence the question is not correct
*20 POINTS*
A coffee table is shaped like a square and has an area of 22 square feet. Find the length of the side of the table to the nearest tenth of a foot.
Answer:
4.69 feet
Step-by-step explanation:
If the table is a square, all the sides are equal and the area is the length of one side squared. A=l^2
The length must then be the square root of the area. The square root of 22 square feet is 4.6904 feet. Rounded to the nearest tenth, that is 4.69 feet.