[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's use Pythagoras theorem !
[tex]\qquad \sf \dashrightarrow \:h {}^{2} = p {}^{2} + b {}^{2} [/tex]
where,
h = hypotenuse = unknown b = base = 11 p = perpendicular = 12[tex]\qquad \tt\dashrightarrow \:h {}^{2} = 12{}^{2} + 11 {}^{2} [/tex]
[tex]\qquad \tt\dashrightarrow \:h {}^{2} = 144{}^{} + 121[/tex]
[tex]\qquad \tt\dashrightarrow \:h {}^{2} = 265[/tex]
[tex]\qquad \tt\dashrightarrow \:h {}^{} = \sqrt{265}[/tex]
[tex]\qquad \tt\dashrightarrow \:h {}^{} \approx16.3[/tex]
Find the slope of the line that is parallel and perpendicular to the following equation.
-5x - y = 1
Answer:
slope of perpendicular: [tex]\sf \bold{\frac{1}{5} }}[/tex]
slope of parallel: -5
rewrite in slope intercept form: [ y = mx + b ]
-5x - y = 1-y = 1 + 5xy = -5x - 1comparing with y = mx + b [ where m is slope, b is y-intercept ]
Parallel slope is same
formula: m₁ = m₂
m = -5slope of parallel: -5
Perpendicular slope is negatively reciprocal
formula: m₁ = -(m₂)⁻¹
m₁ = -(-5)⁻¹m₁ = -(-1/5)m₁ = 1/5slope of perpendicular: 1/5
Answer:
Slope of the line that is parallel: -5
Slope of the line that is perpendicular: [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
For the parallel line:
Rewrite your equation to slope-intercept form: y = mx + b
y = mx + b
m = slopeb = y-intercept (when x = 0)-5x - y = 1 <== add 5x to both sides
+5x +5x
-y = 5x + 1 <== divide both sides by -1
/-1 /-1
y = -5x - 1
The slope of the line that is parallel to this line is -5.
For the perpendicular line:
*Perpendicular lines have negative reciprocals*
Steps:
1. Take your original slope (-5)
2. Flip it (-1/5)
3. Change the sign (1/5)
For a slope of -5, the reciprocal would be: [tex]\frac{1}{5}[/tex]
Hope this helps!
Eight less than four times a number is less than 56. What are the possible values of that number?
Answer:
Let the number be x
when it is 8less than 4times the x the inequality equation we get is:
4x-8<56 (since it says it's less than 56)
4x<56+8
4x<64
x<64÷4
x<16
the possible values are all numbers less than 16
Use the drawing tools to form the correct answer on the graph.
Graph this system of equations on the coordinate plane:
y = -3x + 3
y = 1/2x - 4
Answer:
The answer would be (2,3) or you can find the answer in desmos
Step-by-step explanation:
You can input the coordinates in Desmos graphing calculator for the graph
help me pls
32a^8b^6 - 12a^5b^4 c^2 / 4a^3 b^3
[tex]❖\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's evaluate ~
[tex]\qquad \tt \dashrightarrow \: \dfrac{32 {a}^{8} {b}^{6} - 12 {a}^{5} b {}^{4} {c}^{2} }{4a {}^{3}b {}^{3} }[/tex]
[tex]\qquad \tt \dashrightarrow \: \dfrac{ \cancel{4 {a}^{3} b {}^{3} }(8{a}^{5} {b}^{3} - 3{a}^{2} b {}^{} {c}^{2}) }{ \cancel{4a {}^{3}b {}^{3}} }[/tex]
[tex]\qquad \tt \dashrightarrow \: 8{a}^{5} {b}^{3} - 3{a}^{2} b {}^{} {c}^{2}[/tex]
Answer:
-_-
Step-by-step explanation:
[tex] \displaystyle{ \frac{32 {a}^{8} {b}^{6} - {12a}^{5} {b}^{4} {c}^{2} }{ {4a}^{3} {b}^{3} } }[/tex]
[tex] \displaystyle{ \frac{32 {a}^{8} {b}^{6} }{ {4a}^{3} {b}^{3} } - \frac{12 {a}^{5} {b}^{4} {c}^{2} }{4 {a}^{3} {b}^{3} } }[/tex]
[tex] \displaystyle{ 8 {a}^{5} {b}^{3} - 3 {a}^{2} {c}^{2} }[/tex]
what is the
answer 5/6=1/3+d
Answer:
d is equal to 3/6 or 1/2
Step-by-step explanation:
to solve this you need to convert 1/3 to have the demoninator of 6 by multiplying the top and bottom by a factor of 2 to get 2/6. then move 2/6 to the other side of thr equation by subtracting so 5/6 - 2/6 which is 3/6 or 1/2
A town's yearly snowfall in inches over a 10-year period is recorded in this table. what is the mean of the snowfall amounts? 15.0 in. 17.0 in. 17.9 in. 18.9 in
The mean is said to be an arithmetic mean. The mean of the snowfall is 17.9 inches then the correct option is C.
What is Mean?Mean is simply defined as the average of the given set of numbers. The mean is considered one of the measures of central tendencies in statistics. It is the ratio of the sum of the observation to the total number of observations.
A town's yearly snowfall in inches over a 10-year period is recorded in this table.
Year Snowfall in inches
1997 15
1998 11
1999 18
2000 25
2001 13
2002 20
2003 16
2004 28
2005 15
2006 18
Then the mean will be
[tex]\rm Mean = \dfrac{15+11+18+25+13+20+16+28+15+18}{10}\\\\Mean = \dfrac{179}{10}\\\\Mean = 17.9[/tex]
More about the mean link is given below.
https://brainly.com/question/521501
Answer:
C
Step-by-step explanation:
17.9
Un obrero tiene una escalera de 12 metros. ¿Que ángulo debe formar con el suelo para alcanzar una altura de 8 metros?
Usando el concepto de seno, hay que la escalera debe formar un angulo de 41.8º con el suelo.
¿Qué es el seno de un angulo?El seno de un angulo viene dada por el cambio vertical dividido por el cambio diagonal.
En este problema:
El cambio diagonal es de 12 metros.El cambio vertical es de 8 metros.Por eso:
[tex]\sin{\alpha} = \frac{8}{12}[/tex]
[tex]\alpha = \sin^{-1}{\left(\frac{8}{12}\right)}[/tex]
[tex]\alpha = 41.8^\circ[/tex]
La escalera debe formar un angulo de 41.8º con el suelo.
Puede-se aprender más a cerca de el concepto de seno en https://brainly.com/question/24766917
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giving 15 points please help
Answer:
6
Step-by-step explanation:
if you calculate it all in, 6x4 is 29. so you do 1/2x29 and divide it by three, then add 2 to that and in conclusion its equal to 6 (im sure!!) ive double checked so go ahead put that answer in.
which expression is equivalent to the product of 6 and y
A. 6+y
B 6-y
C 6 over y
D 6y
Please hurry
Answer:
The answer is 6y :)
Have an amazing day!!
Please rate and mark brainliest!!!
Answer number 9 please.
Answer:
165 cm³
Step-by-step explanation:
330 cm³ × 1/2 = 165 cm³
A rugby team sells tickets for $8. The team sells 129 tickets. How much money does the rugby team collect?
Answer:
136 tickets
You have to do 8x17
suppose you had D dollars in your bank account. you spent $22 but have at least $28 left. how much money did you have initially? write and solve an inequality that represents this situation.
d-22 > 28; d > 50
d +22 28; d > 72
d + 22 s 28; ds 72
d-22 28; d = 50
Answer:
Answer:
d--22→ 28
d→ 50
Step-by-step explanation:
Let d dollars be the initial amount in your bank account.
We have been given that you spent $22, so the amount left after spending $22 will be: .
We are also told that after spending $22, you have at least $28. This means that the amount left after spending $22 will be greater than or equal to $28.
We can represent this information in an equation as:
Therefore, the inequality represents the initial amount of money you had.
Now let us solve for d by adding 22 to both sides of our inequality.
Therefore, initially you had at least $50.
Still stuck? Get 1-on-1 help from an expert tutor now.
Step-by-step explanation:
brain less
The radius of a circle is 16 yards. What is the circle's circumference?
Answer:
100.5309649149
Step-by-step explanation:
circumference = 2π(r)
Since you already have the radius of the circle, you would have to multiply the radius by 2 to get the diameter which is the full width of the circle . Then, multiply the result by π, or 3.14 and then round how you are asked to.
Can 5+10= be an expression even if the problem does not have an answer?
Answer:
yes, an expression is at least 2 terms
an equation requires two sides
Answer:
yes
Step-by-step explanation:
can anybody give me the awnser?
Answer:
48
Step-by-step explanation:
Perimeter is the sum of all the side lengths, so add up the ones you know so far:
4+6+9+13+11
43 + x
x = 11-6
x = 5
43+5 = 48
Hope this helps!
Answer:
48 ft
Step-by-step explanation:
unknow side = 11 - 6 = 5ft
Perimeter = Sum of all sides
= 4 + 11 + 13 + 5 + 9 + 6
= 48 ft
A rhombus has a perimeter of 52 inches. It’s shorter diagonal is 10 inches in length. which of the following is the length of its longer diagonal?
Answer:
ok it's a good question... so answer to that is... I also don't know..
Factories the following quadratic:
x^2 - 9x + 20
Answer:
[tex]\sf factorisation\hookrightarrow \: (x- 4)(x - 5)[/tex]
Step-by-step explanation:
Given equation
[tex] \sf {x}^{2} - 9x + 20 [/tex]
Rules for factorisation,
distribute the middle term in such a way that constant of each term when multiplied outputs the last number.
The middle term -9x can be written as sum of -5x and -4x, and when we multiply -5 with -4 it turns+20.
rewriting equation,
[tex] \sf \hookrightarrow {x}^{2} - 5x - 4x + 20 \\ \sf \hookrightarrow x(x - 5) - 4(x - 5) \\ \sf \hookrightarrow \: (x- 4)(x - 5)[/tex]
[tex] \sf factorisation\hookrightarrow \: (x- 4)(x - 5)[/tex]
Thanks for joining brainly community!
Answer:
(x - 5)(x - 4)[tex] \: [/tex]
Step-by-step explanation:
So, here we have to factorise the polynomial :
[tex]\\ \longrightarrow \sf \qquad {x}^{2} - 9x + 20\\ \\[/tex]
We are to find two numbers such that,
[tex]\\ {\longrightarrow \pmb{\sf {\qquad p + q = 9 \:}}} \\ \\[/tex]
[tex]\\ {\longrightarrow \pmb{\sf {\qquad p \times q = 20 \:}}} \\ \\[/tex]
The two numbers are 4 and 5, so
[tex]\\ \longrightarrow \sf \qquad {x}^{2} - 5x - 4x+ 20\\ \\[/tex]
Finding common factors :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad {x} (x - 5) - 4(x - 5) \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (x - 5) (x - 4) \:}}} \\ \\[/tex]
Some points to know :
Factorisation is the reverse process of multiplucation.The Factorisation is the process of finding two or more expressions such that their product is the given expressionConsider the table of the powers of 8.
A 1-column table with 6 rows. Column 1 is labeled Power of 8 with entries 8 cubed = 512, 8 squared = 64, 8 Superscript 1 = 8, 8 Superscript 0 = a, 8 Superscript negative 1 = b, 8 Superscript negative 2 = c.
Answer these questions about the powers of 8.
What is the pattern as the exponents decrease?
What is the value of each variable in the table?
a =
b =
c =
What is the pattern as the exponents decrease?
Divided by 8
What is the value of each variable in the table?
A= 1
B=1/8
C=1/64
Hope this helped!
Pls consider me for Brainliest!!
Answer:
Step-by-step explanation:
Answer these questions about the powers of 8.
What is the pattern as the exponents decrease?
✔ divided by 8
What is the value of each variable in the table?
a =
✔ 1
b =
✔ 1/8
c =
✔ 1/64
Michael collects baseball cards. His cousin gave him 267 cards when he gave up his own hobby. 23 of them were duplicates of cards Michael already has so he put them aside for trading. How many new cards did he add to his collection?
Please help me with this
254.47cm^2
Step-by-step explanation:
A= pi x 3x3
= 9pi
x2 (there is 2 circles)
18pi
C=pi x D
= pi x 6
= 6pi
Width of rectangle wrap perfectly around the circle, so the circumference of 6pi will become the width of the rectangle
Rectangle:
A=lxw
= 10.5 x 6pi
= 63pi
Add up:
63pi + 18pi = 81pi
81pi = 254.469.....
Round to nearest 100th would be 254.47cm^2
(100th is 1/100= 0.01)
Hope this helps!
Michael is painting a cylindrical tank with a radius of 15 feet and a height of 60 feet. he must determine the surface area of the tank so that he knows how much paint to purchase. what is the surface area of the tank? use 3.14 for π, and round your answer to the nearest whole number. refer to your staar 8th grade math reference sheet for the appropriate formula. question 9 options: 1413 ft2 5655 ft2 6855 ft2 7069 ft2
The surface area of the cylindrical tank on which the Michael is painting is 7065 ft².
What is surface area of cylinder?Surface area of cylinder is the area of each faces by which it is enclosed. The surface area of cylinder can be calculated with the following formula;
[tex]A=2\pi rh+2\pi r^2[/tex]
Here, (h) is the height of the cylinder and (r) is the radius.
Michael is painting a cylindrical tank with a radius of 15 feet and a height of 60 feet. He must determine the surface area of the tank so that he knows how much paint to purchase.
Put the values in the above formula,
[tex]A=2(3.14) (15)(60)+2(3.14)(15)^2\\A=7065\rm\; ft^2[/tex]
Thus, the surface area of the cylindrical tank on which the Michael is painting is 7065 ft².
Learn more about the surface area of cylinder here:
https://brainly.com/question/20771646
Mandy has a total of $2.00 in change in her purse. Complete each set of coins below to show amounts equivalent to $2.00.
4 quarters, 5dimes,
______nickels
10 pennies, ____
dimes, 3 quarters, 5 nickels
2 quarters, 12 dimes, 3 nickels,______
pennies
______quarters, 4 dimes, 6 nickels, 5 pennies
Answer:
10 nickels
9 dimes
5 quarters
Step-by-step explanation:
Answer:
10 nickels, 9 dimes, 15 pennies, 5 quarters
Step-by-step explanation:
I'm a little confused by the question, but, I'll assume that each one is separated by a space.
4 quarters + 5 dims = 1.50. So, there would be 10 nickels.
10 pennies + 3 quarters + 5 nickels = 10+75+25=110. So, 9 dimes
2 quarters + 12 dimes + 3 nickels= 50 + 120 + 15 = 15. So, 15 pennies
4 dimes + 6 nickels + 5 pennies = 40+30+5=75. So, 5 quarters
-2/3 + [3/5 + -5/7]
HELP
Answer:
[tex]=-\frac{82}{105}[/tex]
Step-by-step explanation:
[tex]-\frac{2}{3}+\left[\frac{3}{5}+\left(-\frac{5}{7}\right)\right][/tex]
[tex]\frac{3}{5}+\left(-\frac{5}{7}\right)[/tex]
[tex]=-\frac{4}{35}[/tex]
[tex]=-\frac{2}{3}-\frac{4}{35}[/tex]
[tex]=-\frac{82}{105}[/tex]
[tex]\huge\text{Hey there\bf!}[/tex]
[tex]\mathsf{-\dfrac{2}{3} + [\dfrac{3}{5} + -\dfrac{5}{7}]}[/tex]
[tex]\mathtt{= - \dfrac{2}{3} + \dfrac{3}{5} + - \dfrac{5}{7}}[/tex]
[tex]\mathtt{= - \dfrac{2}{3} + \dfrac{3}{5} - \dfrac{5}{7}}[/tex]
[tex]\mathtt{-\dfrac{2\times35}{3\times35} + \dfrac{3\times21}{5\times21} - \dfrac{5\times15}{7\times15}}[/tex]
[tex]\mathtt{= -\dfrac{70}{105} + \dfrac{63}{105}- \dfrac{75}{105}}[/tex]
[tex]\mathtt{= \dfrac{-70 + 63 - 75}{105 + 0 - 0}}[/tex]
[tex]\mathtt{= \dfrac{-7 - 75}{105 - 0}}[/tex]
[tex]\mathtt{= \dfrac{-82}{105}}[/tex]
[tex]\mathtt{= -\dfrac{82}{105}}[/tex]
[tex]\huge\text{Therefore your answer should be:}[/tex]
[tex]\huge\boxed{\mathtt{\mathtt{= -\dfrac{82}{105}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Ronnie walked into the electronics store and fell in love with a stereo speaker. The speaker cost $500. Since Ronnie only had $ 60, he decided to use his credit card to purchase the $500 speaker.
In two or more complete sentences explain whether or not Ronnie’s purchase is an example of an impulse purchase?
Ronnie's purchase is not an example of impulsive buying because he had an intention to buy electronic device Impulsive Buying
What is Impulsive Buying?Impulsive buying is simply a situation buyers are faced with when they purchase items they do not really need or no intention prior to the time of purchase.
However, in this situation Ronnie purchase is not an example of impulsive buying because he had intention to purchase an electronic device, hence he walked into and electronic store.
Learn more about impulsive buying here:https://brainly.com/question/24260
For each ordered pair determine whether it’s a solution to
Y=6x-4
Answer:
The answer is in the image
Step-by-step explanation:
Dogs lap water to drink it. Every 3 minutes a dog laps water, it gets 30 ounces. If a dog needs 155 ounces per day, predict how many minutes the dog will lap water.
Answer:
15 minutes and 51 seconds
Step-by-step explanation:
155/30 = 5.17
5.17 x 3 = 15.51
It will take the dog approximately 15.5 minutes to lap enough water to consume 155 ounces.
Here, we have to predict how many minutes a dog will lap water to consume 155 ounces per day, we can set up a proportion based on the given information:
1 dog laps water every 3 minutes and gets 30 ounces.
Therefore, in 1 minute, a dog laps 30/3 = 10 ounces.
Now, we want to find out how many minutes it takes for the dog to consume 155 ounces:
Let x be the number of minutes the dog laps water to consume 155 ounces.
Proportion:
(Ounces lapped in x minutes) / (Ounces lapped in 1 minute) = (Total ounces needed) / (Ounces lapped in 1 minute)
(10x) / 10 = 155 / 1
Simplify the equation:
10x = 155
Now, solve for x:
x = 155 / 10
x = 15.5
So, it will take the dog approximately 15.5 minutes to lap enough water to consume 155 ounces.
To learn more on equation click:
https://brainly.com/question/14468218
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A store pays $75 for a phone. The customer pays $112.50 for the phone. What percent mark up was put on the phone?
Answer:
50% markup
Step-by-step explanation:
112.5-75=37.5
Since you know it is a $37.5 increase, you need to calculate how much of 75 is 37.5
37.5 is HALF of 75, so it was a 50% markup
Answer:
50% increase
Step-by-step explanation:
Firstly, I would do 112.50 - 75 = 37.5
This is an easy question, because we can quickly realise that half of 75 (75 divided by 2) is 37.5.
Because we know that 1/2 = 50% we can say that there was a 50% increase (or mark up) on the phone.
Hope this makes sense! If you have any further questions, let me know.
- profparis
How much are bike uses a petrol and oil mixture in the ratio 17:3.
A) how much of each is there in 25 litres of mixture?
By using the given ratio, we will see that 21.25L is petrol and 3.75L of oil.
How much of each component is used?We know that Petrol and Oil is used in a mix with a ratio of 17:3
Then, in 25 liters, then first we need to divide this by 20 (the sum of the two numbers of the ratio), we get:
25 L/20 = 1.25L
So we divided 25 liters in 20 parts. 17 of these parts are petrol, and 3 of these parts are oil
Then:
17*1.25L = 21.25L of petrol
3*1.25L = 3.75L of oil.
If you want to learn more about ratios, you can read:
https://brainly.com/question/1781657
the price of a ps5 is $500 but it is sold out in stores. You can purchase one on ebay for $800. What is the percent change of the price of a PS5
Answer:
[tex]beinggreat78~here~to~help![/tex]
The price increased by %60. Why? Because 160% of 500 is 800, so that must mean the percent only increased by 60.
10, 3, 17, 1, 8, 6, 12,