Answer:
X=12.09
Step-by-step explanation:
Tangent=opposite/adjacent
Tan29=6.7/x
X tan29=6.7
X=6.7/tan29
X=12.087
X=12.09
(Will give Brainliest!) Two factory plants are making TV panels. Yesterday, Plant A produced 9000 panels. Three percent of the panels from Plant A and 10% of the panels from Plant B were defective. How many panels did Plant B produce, if the overall percentage of defective panels from the two plants was 7%?
Under these conditions, plant B produced 12000 panels
We are told that 3% of the 9000 panels in plant A and 10% of "x" quantity in plant B are defective.
As it is not known how much plant B produces, but it is known that the grand total of defects is 7%, the total defective of separate plants are added and the value is equaled to the grand total of defects.
\(\begin{array}{l}\sf 0.03\times 9000 + 0.1b = 0.07\times(9000+b)\\\sf 270 + 0.1b = 630 + 0.07b\\\sf 0.1b-0.07b = 630-270\\ \sf 0.03b=360\\\raisebox{6pt}{$\sf b=\dfrac{360}{0.03}$}\\\therefeore\bf b=12000~panels\end{array}\)
So, plant B produces 12000 panels
If you have any question about this solution, you can ask me in the comments :)
Liz's age is two-thirds of Debbie's age. Debbie's age is half of Freya's age. what is the ratio of Liz's age to Freya's age?
Answer:
Let's start by using variables to represent the ages of the three people:
Let L be Liz's age.
Let D be Debbie's age.
Let F be Freya's age.
From the problem, we know that Liz's age is two-thirds of Debbie's age, so we can write:
L = (2/3)D
We also know that Debbie's age is half of Freya's age, so we can write:
D = (1/2)F
To find the ratio of Liz's age to Freya's age, we need to express Liz's age and Freya's age in terms of a common variable. Since we have an equation relating Debbie's age to Freya's age, we can use that as the common variable. From the equation D = (1/2)F, we can solve for F in terms of D:
F = 2D
Now we can substitute this expression for F into the equation for Liz's age:
L = (2/3)D = (2/3)(1/2)F = (1/3)F
So Liz's age is one-third of Freya's age. The ratio of Liz's age to Freya's age is therefore 1:3.
Which pair of points forms a vertical line segment that is 4 units long? A. (–3, 5) and (–7, 5) B. (3, –8) and (3, –4) C. (2, 1) and (2, 3) D. (2, 4) and (–2, 4)
Answer: (-7,5) and (-3,5) :) there for answer is A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
There are approximately 7.48 liquid gallons in a cubic foot. If a cylindrical water tank holds 1,300 liquid gallons and has a radius of 2.6 feet, what is the approximate height of the water tank? Approximate using π = 3.14 and round to the nearest tenth.
2.0 feet
8.2 feet
61.2 feet
114.5 feet
The height of the water tank is 8.2ft
What is volume of a cylinder?
A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance. These bases are normally circular in shape (like a circle) and the center of the two bases are joined by a line segment, which is called the axis.
The volume of a cylinder = πr²h
there are 7.48 liquid gallons in a cubic foot.
therefore in 1100 liquid gallons there will be 1300/7.48 = 173.7 ft³
147.1 = 3.14 × 2.6² ×h
147.1 = 21.2h
h = 173.7/21.2
h = 8.2ft(nearest tenth)
therefore the height of the tank is 8.2ft
Your welcome!
If the cinema is located at (5, 1) on a map and the theater is at (-2, 7), how far apart are these two locations?
Justify your answer.
Select all of the following that are quadratic equations.
(MULTIPLE CHOICE)
A). 3 x² + 5 x - 7 = 0
B). 5 x² + 15 x = 0
C). 2 x - 1 = 0
D). x² - 4 x = 4 x + 7
E). 6 x - 1 = 4 x + 7
F). x³ - 2 x² + 1 = 0
Answer:
A B D F
Step-by-step explanation:
quadratic equation normally comes with squares
What are the constants in this expression?
x-3 + 2/3 -y/2
A. 1 and -3
B. -3 and 2/3
C. -3 and -y/2
D. 2/3 and -1/2
Use the right triangular prism shown to answer the following questions.
What is the volume of the right triangular prism?
A. 144cm3
B. 168cm2
C. 168cm
D. 168
Answer:
168cm is the right answer
Step-by-step explanation:
divide: 37 / 0.05 please help
Answer:
740
Step-by-step explanation:
Complementary and Supplementary angles.
Answer:
Supplementary 102° and 78°
Complemantary 78° and 12°
Step-by-step explanation:
complementary Angles add up to 90°
supplementary angles add up to 180°
Earn points, answer both questions!
Answer:
Area of five squares = 1289.09 square units
Perimeter = 194.6 units
Step-by-step explanation:
Area of square and perimeter:
First find the length of each square, then find the area of each square.
To find the area of five squares, add all the area of each square.
Side of square1 = 27 units
\(\sf Side \ of \ square2 = \dfrac{2}{3}*27=2*9 = 18 \ units\\\\Side \ of\ square3= \dfrac{2}{3}*18=2*6=12 \ units\\\\Side \ of \ square4=\dfrac{2}{3}*12=2*4=8 \ units\\\\Side \ of \ square5=\dfrac{2}{3}*8=\dfrac{16}{3}=5.3 \ units\)
Area of square1 = 27*27 = 729 square units
Area of square2 = 18*18 = 324 square units
Area of square3 = 12*12 = 144 square units
Area of square4 = 8*8 = 64 square units
Area of square5 = 5.3*5.3 = 28.09 square units
Area of five squares = 729 + 324 + 144 + 64 +28.09
= 1289.09 square units
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Perimeter of the composite figure = (27 + 27+27+9) + (18+18+6) +(12+12+4) + (8+8+2.7)+ (5.3+5.3+5.3)
= 90 + 42 + 28 + 18.7 + 15.9
= 194.6 units
How can I find the cube root of 64?
Answer:
4
Step-by-step explanation:
The cube root of 64 is the number which when multiplied by itself three times gives the product as 64. Since 64 can be expressed as 2 × 2 × 2 × 2 × 2 × 2. Therefore, the cube root of 64 = ∛(2 × 2 × 2 × 2 × 2 × 2) = 4.
The cube root of 64 is 4.
Before solving the question, let's understand the concept of cube root.
The cube root of a number is the value obtained by multiplying it by itself three times or thrice. When we multiply 3 by itself three times, we get 3 x 3 x 3 = 27 = 3³, so the cube root of 27 is 3. Thus, we can say that the cube root gives a value that is basically cubed.
The cube root is denoted by ∛
Now, we will find the cube root of 64.
Firstly, we have to find factor 64.
64 = 2 × 2 × 2 × 2 × 2 × 2.
64 = ∛4³
64 = 4
Therefore, the cube root of 64 is 4.
To know more about cube root:
https://brainly.com/question/12105008
I'm going to ask this question again because no one really explained it to me 'clearly.' So if you could do that it would be much appreciated! I'll also give u a brainly <3
Question: What is the value of r.
Write an addition equation and a multiplication equation that each have a solution of -5
Answer:
17+9+13+(-44)=-5
77x6x(-010822510841)=5
Step-by-step explanation:
Answer:
-6 + 1 = -5
1 x -5 = -5
Step-by-step explanation:
Adding rules are if they are the same sign add and keep sign if they are different signs then subtract and keep sign of bigger number
Multiplication rules are positive times positive = positive
negative times negative = positive
positive times negative = negative
3+(-7) +(-6) add the following integers
Answer:
-10
Step-by-step explanation:
expand: 3-7-6=-10
note smaller positive number minus bigger number makes negative answer, e.g 7-8= -1
The answer is:
-10Work/explanation:
Use the integer rule:
\(\rhd\quad\sf{a+(-b)=a-b}\)
___
\(\rhd\quad{\sf{3+(-7)=3-7=-4}\)
\(\rhd\quad\sf{-4+(-6)=-4-6=-10}\)
Hence, the answer is -10.
Mio is on the running team. She runs 4 laps in 6 minutes.
At this rate, how long will it take for her to run 15 laps? ____ minutes
i need help on this loll
Answer: The translation rule that maps point D ( 7 , − 3 ) onto point D ' ( 2 , 5 )
is (x , y) → (x - 5 , y + 8)
Step-by-step explanation:
Let us revise the translation
If the point (x , y) translated horizontally to the right by h units then its image is (x + h , y)
If the point (x , y) translated horizontally to the left by h units then its image is (x - h , y)
If the point (x , y) translated vertically up by k units then its image is (x , y + k)
If the point (x , y) translated vertically down by k units then its image is (x , y - k)
(x , y) → (x ± h , y ± k) the right arrow symbol used to show the
translation from a point to its image
Example:
∵ P (0 , 0) → P' (1 , 2)
∴ The rule is (x , y) → (x + 1 , y + 2)
Let us find the translation rule that maps point D ( 7 , − 3 ) onto
point D' (2 , 5)
∵ Point (x , y) = (7 , -3)
∵ Its image after translation (x + h , y + k) = (2 , 5)
∴ x + h = 2
∵ x = 7
∴ 7 + h = 2
- Subtract 7 from both sides
∴ h = -5
∵ y + k = 5
∵ y = -3
∴ -3 + k = 5
- Add 3 to both sides
∴ k = 8
∴ The rule of translation is (x , y) → (x - 5 , y + 8)
The translation rule that maps point D ( 7 , − 3 ) onto point D ' ( 2 , 5 )
is (x , y) → (x - 5 , y + 8)
Please answer fast and clear! thanks! ;)
Match each equation to a story. (Two of the stories match the same equation.)
A. Jada’s teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each book weigh?
B. A piece of scenery for the school play is in the shape of a 5-foot-long rectangle. The designer decides to increase the length. There will be 3 identical rectangles with a total length of 17 feet. By how much did the designer increase the length of each rectangle?
C. Elena spends $17 and buys a $3 book and a bookmark for each of her 5 cousins. How much does each bookmark cost?
D. Noah packs up bags at the food pantry to deliver to families. He packs 5 bags that weigh a total of 17 pounds. Each bag contains 3 pounds of groceries and a packet of papers with health-related information. How much does each packet of papers weigh?
E. Andre has 3 times as many pencils as Noah and 5 pens. He has 17 pens and pencils all together. How many pencils does Noah have?
Answer:
Step-by-step explanation:
A school ordered 3 large boxes of board markers. After giving 15 markers to each of 3 teachers, there were 90 markers left. The diagram represents the situation. How many markers were originally in each box?
Tape diagram. Three equal parts labeled, x minus 15, total 90.
(From Grade7, Unit 6, Lesson 2.)
Problem 2
The diagram can be represented by the equation . Explain where you can see the 6 in the diagram.
Tape diagram, 1 part labeled 2, 6 parts labeled x, total 25.
(From Grade7, Unit 6, Lesson 3.)
Problem 3
Match each equation to a story. (Two of the stories match the same equation.)
Jada’s teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each book weigh?
A piece of scenery for the school play is in the shape of a 5-foot-long rectangle. The designer decides to increase the length. There will be 3 identical rectangles with a total length of 17 feet. By how much did the designer increase the length of each rectangle?
Elena spends $17 and buys a $3 book and a bookmark for each of her 5 cousins. How much does each bookmark cost?
Noah packs up bags at the food pantry to deliver to families. He packs 5 bags that weigh a total of 17 pounds. Each bag contains 3 pounds of groceries and a packet of papers with health-related information. How much does each packet of papers weigh?
Andre has 3 times as many pencils as Noah and 5 pens. He has 17 pens and pencils all together. How many pencils does Noah have?
Problem 4
Elena walked 20 minutes more than Lin. Jada walked twice as long as Elena. Jada walked for 90 minutes. The equation describes this situation. Match each expression with the statement in the story with the expression it represents.
A:
B:
C:
D:
90
1:
The number of minutes that Jada walked
2:
The number of minutes that Elena walked
3:
The number of minutes that Lin walked
determine if each statement is true or false
1 A multiple of 3 must end in 3, 6, or 9.
2 A multiple of 3 can end in any number.
3 Each row in the table is 3 more than the row above it.
Answer:
I'm not sure about number 3 because it seems there is additional information not included in this post but 1 is false and 2 is true
Step-by-step explanation:
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36
Please help!!!! The screenshot has the info
Answer:
The slope is -8/3 or -2 2/3
Step-by-step explanation:
Two points are given, and they are (0, 4) and (3, -4).
The formula for slope is change in y over change in x.
In this case, the change in y is -8, since -4 - 4 = -8.
The change in x is 3, since |0 - 3| = 3.
Thus, the slope is -8/3, which is equal to -2 2/3.
Answer:4!
Step-by-step explanation:
⚗
This is the graph of f(x) = x+A/x+B. The grid lines in the graph are one unit apart. What is the value of A/B
The value of A/B is given as follows:
A/B = -2.
What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.From the graph, the function has a vertical asymptote at x = 1, hence the value of B is given as follows:
B = -1 -> as x + B = 0 -> x = -B = -1.
When x = 0, y = -2, hence the value of A is obtained as follows:
A/-1 = -2
A = 2.
Then the division is given as follows:
A/B = 2/-1 = -2.
More can be learned about the asymptotes of a function at https://brainly.com/question/1851758
#SPJ1
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve the following equation.
\(\frac{5}{13} t = -9\)
the mass of the moon is about 7.35 x 10^22. the mass of the earth is about 5.97 x 10^24 kg. Estimate how many times bigger the mass of the earth is than the mass of the moon
(Please show the work!)
by how much does 4k-7 exceed 3k+2 math
You have been saving your money to buy a new pair of shoes. Three different stores are having a sale on them. Which store has the best deal?
Store A
Original Price: $70
Take 10% off.
Then, take 10 percent off that price.
Store B
Original Price: $80 Take $15 off.
Then, take 10 percent off that price.
Store C
Original Price: $90
Take 10% off.
Then, take $20 off that price.
A) Store A
B) Store B
C) Store C
Correct answer and best explained gets brainliest
Answer: Store A
Step-by-step explanation: Store A = 10 percent off from 70 which is 63 then 10 per cent off from 63 which is 56.7 which is $56.70 dollars
Store B - 15 percent off from 80 which is 68 then 10 percent off that which is 61.2 which is $61.20
Store C - 10 percent off from 90 which is 81 and then 20 dollars of 81 which is $61
Answer:
Store A
Step-by-step explanation:
Store A: $70 take off 10% = $63
$63 - 10% = $56.7
Store B: $80 - $15 = $65
$65 - 10% = 58.5
Store C: $90 - 10% = 81
Store A has the cheapest price out of all three.
need answer for these qyestion
thank you for asking me this question
HELP ASAP
Find the surface area of the prism. Write your answer as a decimal.
A triangular prism. The base triangle is a right triangle with base of 10 inches, height of 9 inches, and hypotenuse of 13.5 inches. The height of the prism is 9 inches.
Answer:
5
Step-by-step explanation:
9×9 - 13.5 ÷10=9 =*÷&#>÷<$<÷>#*#*#*#*#*=*/&=
QUICK! Find the area of the smallest square in the diagram.
A) 25 square feet
B) 5 square feet
C) 313 square feet
D) 13 square feet
Answer:
313 square feet
Step-by-step explanation:
313 square feet
Answer:
A) 25
Step-by-step explanation:
sides of top square are all 13 and sides of bottom square are all 12
we now have the hypotenuse (13) and another side length of the triangle (12) using a^2+b^2=c^2 we can find the side of the square then its area.
144+b^2=169
b^2=25
b=5, which means the smallest square's sides are all 5 making it have an area of 25
Find the LCM of 16 and 56.
Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared deals from Speedy Clean Carwash and Sudsy Bubbles Carwash to decide which membership to get. Robin arranged the information in the tables below.
How many times will Robin need to wash her car to spend the same amount at both carwashes?
P.S.: I attached the table below:)