Answer:
3x-y+6=0.......(1)
y+2x=5........(2)
[m1]slope of line 1=- coefficient of x/coefficient of y=3
[m2]=slope of line 2=- coefficient of x/coefficient of y=-2
we have
tan ø=[tex] \frac{m1 - m2}{1 + m1m2} [/tex]
tan ø=[tex] \frac{3+2}{1 + 3×-2} [/tex]
tan ø=[tex] \frac{5}{-5} [/tex]
tan ø=-1
ø=135°
obtuse angle between the pair of line is 135°
a. The product of p and 48
How would I write this as an algebraic expression
Answer:
p * 48
Step-by-step explanation:
Lets break this down into something simpler
"The product"
answer to a multiplication problem
"of"
to multiply
"p"
an unknown value
"48"
factor
The size and shape of a figure will stay the same after a translation is performed.
o True
o False
Answer: true
Step-by-step explanation:
True, because translation means just to move a figure, not to change a shapes's size, width, height, or any other property of the shape.
WILL REWARD BRAINIEST! What is the volume of the composite figure if both the height and the diameter of the cylinder are 10.5 feet? Give the exact answer and approximate to two decimal places.
Answer:
908.74
Step-by-step explanation:
The formula for the volume of a cylinder is V = h * pi * r^2
h is height, r is radius, and pi is 3.14. The radius is half of the diameter, so that would make the radius 5.25.
So now plug it into the formula:
V = 10.5 * pi * (5.25)^2
= 908.74
Hope this helped! :)
Answer:
1211.65 cubed ft.
Step-by-step explanation:
Half sphere: V = 4/3(3.24)(5.25^3)
V = 605.82
Divide by two since we need to find the volume of the half sphere, not the full sphere.
605.82 ÷ 2 = 302.91
Cylinder: V = (3.14)(5.25^2)(10.5)
V = 908.74
Add the two volumes to each other to find the total volume of the composite figure.
908.74 + 302.91 = 1211.65
The mass of an adult North Pacific right whale is about 70,000 kg, or 7 x 104
kg.
The mass of a male African elephant is about 7000 kg, or 7 x 103 kg.
About how many times more massive is the right whale than the African
elephant?
please help
Mofor and Shanice are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Mofor sold 12 small boxes of oranges and 3 large boxes of oranges for a total of $96. Shanice sold 6 small boxes of oranges and 6 large boxes of oranges for a total of $84. Find the cost each of one small box of oranges and one large box of oranges.
Answer:
$6 = cost of small box
$8 = cost of large box
Step-by-step explanation:
Let s = cost of small box
l = cost of large box
(1) 12s + 3l = 96 (2) 6s + 6l = 84
Multiply by -2 -24s - 6l = -192
-18s = - 108
s = $6 = cost of small box
12(6) + 3l = 96
72 + 3l = 96
3l = 24
l = $8 = cost of large box
Shelby made a mistake in her checkbook. She wrote a check for $8.50 to rent a video game but mistakenly recorded it in her checkbook as an $8.50 deposit. Part A: Which point represents each of Shelby's transaction on the number line below? Explain the difference between these two transactions. Part B: Use absolute value to explain how a debt of $8.50 and a deposit of $8.50 are similar.
Answer:
Part A
The first transaction which is to write a check of $8.50 is a debit transaction which carries a negative sign while
The second transaction which states that she wrote it as a deposit carries a positive sign because deposit means to add
Part B
The absolute value of a number is never negative.
|-8.50| = 8.50
Step-by-step explanation:
Part A: Which point represents each of Shelby's transaction on the number line below? Explain the difference between these two transactions.
The firsts transaction says:
She wrote a check for $8.50 to rent a video game.
Writing a check of $8.50 is a debit to her bank account. This is a negative value because $8.50 is taken from the money in her bank account.
Mathematically this means, -$8.50
The second transaction states that:
She mistakenly recorded it in her checkbook as an $8.50 deposit.
Mathematically, a deposit means a positive action, where money is added to the money in her bank account.
Hence,
+$8.50
Part B: Use absolute value to explain how a debt of $8.50 and a deposit of $8.50 are similar.
In mathematics it is important to note that:
The absolute value of a number is never negative.
Hence,
Debt of $8.50 = -8.50
Deposit of $8.50 = +8.50
Hence,
|-8.50| = 8.50
What is the area of B
If there is no more informations, then:
A = ¹/₃(6 + x)2/9 divided by 6/27 fill the box with a fraction that makes the equation true
Answer:
1
Step-by-step explanation:
2 /9÷ 6/ 27=1
Cómo trazar Polígonos regulares utilizando material geométrico como la regla, compas y el graduador porfa ayuda
Answer:
En matemática, un polígono construible es un polígono regular que puede ser construido con regla y compás. Por ejemplo, un pentágono regular es construible con regla y compás mientras que un heptágono regular no lo es.En matemática, un polígono construible es un polígono regular que puede ser construido con regla y compás. Por ejemplo, un pentágono regular es construible con regla y compás mientras que un heptágono regular no lo es.
7x+2y=47
5x-4y=1
use elimination method
Answer:
x=5, y=6
Step-by-step explanation:
7x+2y=47
5x-4y=1
to use elimination method , you want to add the two equations together so that either x or y cancels out. For these equations, we will multiply the first equation by 2. (This will cancel out y value)
2(7x+2y)=2(47)
14x+4y =94
————————
add above equation to second equation:
14x+4y=94 above equation
5x-4y=1 second equation
19x=95 added together
x=5
—————————————
‘solve for y by substituting x value (5) into either original equation
5x-4y=1
5(5)-4y=1
25-4y=1
-4y=-24
y=6
I NEED HELP LIKE ASAP I NEED TO PASS THIS CLASS >:PILL GIVE 20 POINTS
Answer: (-2,4) to (2,-2)
go up 1 from the origin
then 2 to left since it’s -2
3 up since it’s 3
go up 1 from the origin
then 2 right since it’s 2
3 down since it’s -3
ASAPPPPP
Fill in the blank
When lit, a candle loses 5% of its original height every hour. Jennifer lit a candle with
an original height of 8 inches. Until the candle had been burning for at least _______ hours, the height of Jennifer's candle will be more than 7 inches.
Answer:
2.5 hours
Step-by-step explanation:
Which logarithmic equation is equivalent to the exponential equation below?
67.21 = ea
A. In a = 67.21
B. loga 67.21 = 2.43
C. lo967.21 2.43 = e
O D. In 67.21 = a
Answer:
[tex]log_e^{67.21}= a[/tex]
Step-by-step explanation:
The equation is ,
[tex]\implies 67.21 = e^a [/tex]
Here e is the Euler's Number . The log which are defined on the base e are called Natural logarithms.Say if we have a expoteintial equation ,
[tex]\implies a^m = n [/tex]
In logarithmic form it is ,
[tex]\implies log_a^n = m [/tex]
Similarly our required answer will be ,
[tex]\implies\boxed{ log_e^{67.21}= a }[/tex]
plzzzz help right now
Hello and Good day,
This question is relating to probability and it can come in percentages and fractions. I will follow directions as the problem states and provide both.
1. There is a 1/20 or 5% chance that the dart would land on section 20.
2. There is a 10/20 or 50% chance that the dart would land on an odd number.
There are 10 odd numbers present on the dart board.
3. 4/20 or 20%
There are 4 numbers greater than 16.
4. 0/20 or 0%
This is because there are no 25's on the dart board
5. 17/20 or 85%
This is because there are 17 numbers that aren't 4, 5, or 6.
6. 7/20 or 35%
There are 7 numbers less than 8.
7. 20/20 or 100% chance
8. 19/20 or 95% chance
I honestly was to lazy to right the rest in complete sentences, but i hope you find this well. Have a great day.
Thank you for your support,
-Oceanbreeze24
A poll asks shoppers at the mall how many cups of water they typically drink in a day. The results of the poll are listed below.
3, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11
A five number summary was found. What is value of the 3rd quartile?
9
9.5
8
10
Answer:
The Q³ of this data set is 9.5
If the same textbook is in a lower shelf that is o.75 m above the floor. What is its potential now?
Answer:
PE = 51.45 Joules
Step-by-step explanation:
PE = mgh
= (7.0 kg)(9.8m/s^2)(0.75 m)
= 51.45 Joules
WILL MARK BRAINLIEST A bag contains 16 marbles. There are 4 green, 10 red, and 2 blue marbles. One marble is selected at random. Determine whether each statement correctly describes the likelihood of an event based on the given bag of marbles. Select True or False for each statement.
True False
1) It is unlikely that a blue marble will be selected.
2) It is certain that a green marble will be selected.
3) It is impossible that a yellow marble will be selected.
4) It is unlikely that a red marble will be selected.
Answer:
1 is FALSE
2 is TRUE
3 is FALSE
4 is FALSE
Step-by-step explanation:
1 is false because the blue marble is 2 only
2 is true because green marble has a 100% you get this.
3 is false because we din't have yellow marble
4 is false because red is has 10 marble so you get this red marbke is has 82% because red marble is 2nd most at the number of color
What is the volume of the composite object below?
Answer:
Step-by-step explanation:
I am not gonna give the exact answer but remember how to find the volume of the certain object first figure out what kind of object then figure out the formula..
Farmers have learned how to grow watermelons
in the shape shown at the right. What
three-dimensional figure is the watermelon?
Answer:
it looks like a cube to me lol
What are the solutions for the given equation?
x^2+ 2x + 7 = 0
Answer: 2 imaginary solutions
Step-by-step explanation:
x^2+2x+7=0
a=1, b=2, c=7
2^2-4*1*7
-24 (The discriminant is less than 0 , so the quadratic equation has 2 imaginary solutions)
1/7 done! Starting off strong! Let’s try and keep it up!
Answer: 148
Step-by-step explanation:
180-32 = 148
B=C
P=X
Answer:
x = 148 degrees
Step-by-step explanation:
180 - 32 = 148
45 workers can complete a piece of work in 12 days.how many workers should be removed so that it takes 6 more days to complete the work
Answer:
90000
Step-by-step explanation:
Use the quadratic formula to solve for x.
6x²-3x=1
Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
If we know the quadratic formula, the quadratic formula is
x = [-b ± √(b²- 4ac)] / 2a
Gosh! So overwhelming! But let's look at the composition of a quadratic equation:
ax² + bx + c = 0
And we have 6x² - 3x = 1. So, what do we do? We need to put this quadratic equation into an easy form to find the value of a, b, and c to plug in to the equation.
We can just minus one on both sides to get this:
6x² - 3x - 1 = 0
Is it in the form of ax² + bx + c? Yes! a = 6, b = -3, and c = -1. Now, all we have to do is plug it into the quadratic formula.
x = [-b ± √(b²- 4ac)] / 2a
x = [-(-3) ± √((-3)²- 4(6)(-1))] / 2(6)
[3 ± √(9- 4(6)(-1))] / 12
[3 ± √(9 + 24)] / 12
[3 ± √(33)] / 12
At this point, we should just use a calculator, and recognize we have two answers because of the plus-or-minus sign! (or this sign: ±)
[3 ± √(33)] / 12
1) [3 + √(33)] / 12 = 0.73 approximately
2) [3 - √(33)] / 12 = -0.23 approximately
So, x=0.73 and x= -0.23.
Can someone please help me
p.s. round to the nearest tenths
Answer:
Apothem:
radius is the same length as the base/length of each side of the hexagon.
r = 8
use pythagorean theorem to calculate the apothem
[tex]4^2+a^2=8^2\\\\16+a^2=64\\\\a^2=48\\\\a= 6.928[/tex]
≈ 6.9
Area
[tex]A = \frac{3\sqrt{3} }{2} *a^2\\\\=\frac{3\sqrt{3} }{2}(6.928)^2\\\\=124.7[/tex]
what number should be added to get 10/77 to get 1 ?
one summer, the average price of a gallon of gas in Cleveland was $1.094 while the average price of gas in New York was 1.332. to the nearest penny (round to the nearest penny or hundredths) how much more did a gallon of gas cost in New York than in Cleveland?
Answer:
$0.24
Step-by-step explanation:
1.332 - 1.094 = 0.238
Answer: 0.24
It cost $0.24 more in New York, than in Cleveland
You can find the answer by subtracting the larger price from the smaller price like so
[tex]1.332 - 1.094= 0.238[/tex]
Since it says to round to the nearest hundredths
[tex]0.238[/tex] becomes [tex]0.24[/tex]
If this helped you a Brainliest would be much appreciated!
about liner equations!! please help with answer
Answer:
There are infinitely many solutions
Step-by-step explanation:
The expressions on both sides of the equation are the same, that is
[tex]\frac{1}{2}[/tex] (b + 14) is the same as [tex]\frac{b+14}{2}[/tex]
Thus the equation has infinitely many solutions
help with this question
Answer:
angle ABD=42°
Step-by-step explanation:
join AO with dotted line
AO=OD...radii
triangle AOD is an isosceles
angle DAO=angle ODA.....base angles of isosceles
angle DAO=48°
AngleAOD=180°-(48°+48°)....angle sum of triangle
=180°-96°
=84°
Angle AOD=2×angle ABD....angle at centre twice angle circumference
2xangle ABD=84°
Angle ABD=84°÷2
=42°
a. Find the value of x from given figure
The diameter of a circle is 6 feet find its area to the nearest 10th
Answer:
The area of the circle is 113.0 ft²
Step-by-step explanation:
To solve this problem we need to use the area formula of a circle:
a = area
r = radius = 6ft
π = 3.14
a = π * r²
we replace with the known values
a = π * (6ft)²
a = π * 36ft²
a = 113.04ft²
The area of the circle is 113.04ft²
round to the nearest tenth
a = 113.04ft² = 113.0 ft²