Answer:
= r²−4r+3
Step-by-step explanation:
(r - 3) (r - 1)
(r x r) + (r x -1) + (-3 x r) + (-3 x -1)
r² + - r - 3r + 3
= r²−4r+3
Please help me with this one.. it's due today!!!
Answer:
75 in^2
Step-by-step explanation:
The surface area is the sum of the areas
Area of the square:
A = s^2 = 5^2 =25
Area of one triangle
A = 1/2 bh = 1/2 (5)(5) = 25/2
There are 4 triangles
4* (26)/2 = 50
The sum is 25+50 = 75
Hi!
[tex]P_{\square}=5^2=25 \ in.^2\\\\P_{\triangle}=\frac{1}{2}\cdot5\cdot5=\frac{1}{2}\cdot25=12,5 \ in.^2\\\\P_c=25+4\cdot12,5=25+50=\boxed{75 \ in.^2}[/tex]
If < A and < B are complementary, and < A = 3x + 4 degrees, while < B = 6x - 4 degrees, find x.
Select one:
a. 10
b. 4
c. 9
d. 21
Answer:
a
Step-by-step explanation:
complementary angles sum to 90° , so
3x + 4 + 6x - 4 = 90
9x = 90 ( divide both sides by 9 )
x = 10
Can someone help me with this math homework please!
Answer:
The vertical line test can be used to determine whether a graph represents a function.
If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.
Which property of addition is shown in the equation below?
a+bi+0+0i = a + bi
commutative property
inverse property
identity property
associative property
Answer:
Step-by-step explanation:
is option a correct
The correct property of addition is shown in the equation is,
⇒ Identity property.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
The equation is,
⇒ a + bi + 0 + 0i
Now, We know that;
Condition of identity property is,
⇒ a + 0 = a
Thus, The correct property of addition is shown in the equation is,
⇒ Identity property.
Learn more about the addition visit:
https://brainly.com/question/25421984
#SPJ5
Which graph is that of the inequality shown below?
Answer:
Graph C
Step-by-step explanation:
Each graph has the same slope and points, but only C works for this inequality- since you’re looking for less than or equal to, and only graphs b and c show less than, you know it’s one of those. From there you know it’s less than or equal to, so you want the full line, not dotted, since dotted represents that those values are excluded from the solution.
Can sb help me it’s due soon
Answer:
I think 84 but you may need to check just to be sure :)
If copies of all your computer data are stored on four independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive? With four hard disk drives, the probability that catastrophe can be avoided is
Answer:
[tex]P(Atleast\ 1) = 0.9999992[/tex]
Step-by-step explanation:
Given
[tex]p = 3\%[/tex] --- rate of hard disk drives failure
[tex]n = 4[/tex] --- number of hard disk drives
See comment for complete question
Required
[tex]P(Atleast\ 1)[/tex]
First, calculate the probability that the none of the 4 selected is working;
[tex]P(none) = p^4[/tex]
[tex]P(none) = (3\%)^4[/tex]
[tex]P(none) = (0.03)^4[/tex]
Using the complement rule, the probability that at least 1 is working is:
[tex]P(Atleast\ 1) = 1 - P(none)[/tex]
This gives:
[tex]P(Atleast\ 1) = 1 - 0.03^4[/tex]
[tex]P(Atleast\ 1) = 0.9999992[/tex]
(6ab-8a+8) - (7ab-1 )
Answer:
[tex]- ab - 8a + 9[/tex]
Step-by-step explanation:
[tex](6ab - 8a + 8) - (7ab - 1) \\ 6ab - 8a + 8 - 7ab + 1 \\ - ab - 8a + 9[/tex]
hope this helps you.
Answer:
-ab - 8a + 9
Step-by-step explanation:
(6ab - 8a + 8) - (7ab - 1) =
= 6ab - 8a + 8 - 7ab + 1
= -ab - 8a + 9
Which point represents the unit rate?
Using B.P.T., prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side. (Recall that your have proved it in class IX)
Answer:
See Explanation
Step-by-step explanation:
(For Diagram please find in attachment)
Given, Let Assume triangle ABC Where, DE is Parallel to BC & D is midpoint to AB . ∵ AD=DBTo Prove, E is the midpoint of AC.Proof, If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.Since DE∥BC
∴ By Basic Proportionality Theorem,
AD/DB = AE/EC
Since it is Given, AD=DB
∴ AE/EC =1
∴ AE=EC (Proved)
If x+y=15 and x-y=25, then what is the value of 2x^2 - y^2?
Answer:
775
Step-by-step explanation:
We are given two equations in which we can perform systems of equations by putting these two equations on top of each other then solving for one variable:
x+y=15
x-y=25
Here, we can cancel out the y variable and get:
2x=40
x=20
Then we can put the x variable into any of the equations to solve for y (in this case I will use the equation x+y=15 so 20+y=15
y=-5
Now, we can solve by plugging both variables into 2x^2 - y^2 :
2(20)^2 - (-5)^2
800-25 = 775
I hope this helps!
Answer:
775
Step-by-step explanation:
Hi there!
We are given the following system of equations:
x+y=15
x-y=25
and we need to find the value of 2x²-y²
First, let's find the value of x and y
Let's add the 2 equations together to clear y and solve for x (y-y=0)
2x=40
divide both sides by 2
x=20
Now substitute 20 as x into either one of the equations to solve for y
To do x-y=25 for instance,
20-y=25
subtract 20 from both sides
-y=5
multiply both sides by -1
y=-5
Now we know that x=20 and y=-5
Substitute those values into the expression (remember: y² is equal to y×y, or (y)²)
2(20)²-(-5)²
Raise to the second power
2(400)-(25)
multiply and open parenthesis
800-25
subtract
775
Hope this helps!
which of the following points are in the first quadrant of the xy-plabe? check all that apply
Answer: B and D because for the 1st quadrant both x and y need to be positive
Step-by-step explanation:
B. (2,2)
D. (4,8)
The format for 1st quadrant is: (+,+).
in a survey, a group of students were asked to name their favorite elective class. There were 15 students who chose “other."
How many students participated?
Answer:
hii
Step-by-step explanation:
sry but it is an incomplete question
don't mind write the class and chapter name and subject name.
okk Gudni8
plz help ASAP with explanation
[tex]\displaystyle\bf \boxed{V=abh \ ; \ 1dm^3=1litre=1000cm^3} \\\\a=12cm \ ; \ b=8 cm ;\: h_1=7 \; ; \ h_0=h_1+h_2=?\\\\abh_2=1,2litre=1,2dm^3\ = 1200cm^3\\\\ 8\cdot 12 h_2=1200\\\\h_2=12.5 cm\: then \\\\h_0= 7+12,5=19,5 \\\\Answer : the \ height \ of \ the \ tank \ is \ 19,5 cm[/tex]
==========================================================
Explanation:
The volume of a rectangular block is V = L*W*H. So we multiply the length L, width W and H.
For the smaller rectangular block, up to the water level shown, we have a volume of V = L*W*H = 12*8*7 = 672 cubic cm
Since 1000 cm^3 represents 1 liter, this means the tank has 672/1000 = 0.672 liters of water already.
Add on another 1.2 liters of water to get to 1.2+0.672 = 1.872
Therefore, the full tank's capacity is 1.872 liters
This converts to 1.872*1000 = 1872 cm^3
--------------------------------------------
The largest rectangular block has volume 1872 cm^3
We know the length and width (along the bottom) is L = 12 and W = 8 respectively. The height is unknown, but we can solve for it like so
V = L*W*H
L*W*H = V
12*8*H = 1872
96H = 1872
H = 1872/96
H = 19.5
The height of the tank is 19.5 cm
In a geometric progression, the first tern is 81 and the fourth term is 24. find the common ratio
Step-by-step explanation:
81/24= 27/8Hello,
Let's say a the first term and r the ratio of the G.P.
[tex]u_1=a=81\\u_2=a*r\\u_3=a*r^2\\u_4=a*r^3\\\\\dfrac{u_4}{u_1} =\dfrac{a*r^3}{a} =r^3=\dfrac{24}{81} =\dfrac{8}{27} \\\\r=\sqrt[3]{\dfrac{8}{27} } \\\\\boxed{r=\dfrac{2}{3}}\\[/tex]
92×43 show work ( I know its easy but I'm tired so help please)
Answer:
3956
Step-by-step explanation:
92 * 43
92 * 40 = 3680
92 * 3 = 276
3680 + 276 = 3956
Twice a number minus 25 is less than 89. Translate it into an inequality and find the solution
Answer:
2x-25<89
x<57
Step-by-step explanation:
2x-25<89
2x<89+25
2x<114
Divide by 2...
x<57
Hope this helped! Please mark brainliest :)
(-4)+12+(-20) simplify
(-4)+12+(-20)
= 12 + (-24)
= -12
Answer:
-12
Step-by-step explanation:
The solution is in the picture ^_^ I hope it helps
Find the volume of the triangular prism."
14 ft
h=3A
6 ft
Answer:
Step-by-step explanation:
volume =triangular area× length
=1/2×6×3×14
=126 ft³
Answer:
About 126 ft cubed
Help and explain ( solve using the substitution method )
Answer:
you are posting unvisibile photo pls fix it
Step-by-step explanation:
Find an equivalent ratio for the proportional relationship. PQ restaurant offers 5 chicken rolls for $6.
Answer:
5:6 lol
Step-by-step explanation:
the diameter of circle Q is 14 cm. Find the arc length of PR.
Answer:
4.15, or 1.32pi
Step-by-step explanation:
arclength is circumference(34/360)
so pi x d (34/360)
3.14 x 14 x (34/360) = 4.15, or 1.32pi
The arc length PR is 4.151 cm.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Moreover, every angle has rotational symmetry around the centre.A section of a line that runs from a circle's centre to any point on the circle itself. "R" or "r" stand for the circle's radius.
As per the given data:
The diameter of circle Q = 14 cm
From the given diagram:
∠PQR = 34°
For finding out the arc length PR:
arc length = angle in radian × radius
radius = diameter / 2 = 14 / 2 = 7 cm
angle in radian = 34° × (π / 180°) = 0.593 radians
arc length PR = 0.593 × 7 = 4.151 cm
Hence, the arc length PR is 4.151 cm.
To learn more about circle, click:
brainly.com/question/29142813
#SPJ3
Select the correct answer. The product of two numbers is 21. If the first number is -3, which equation represents this situation and what is the second number? A. The equation that represents this situation is x − 3 = 21. The second number is 24. B. The equation that represents this situation is 3x = 21. The second number is 7. C. The equation that represents this situation is -3x = 21. The second number is -7. D. The equation that represents this situation is -3 + x = 21. The second number is 18.
Answer:
C
Step-by-step explanation:
Since it's the product, the two numbers must be multiplied together. -3 * x will equal 21, so -3x=21. By dividing both sides by -3, we see that x=-7
Is the following statement a good definition? Why?
An obtuse angle is an angle whose measure is greater than 90°.
Answer:
yes it is all obtuse angles have measures greater than 90°.
Answer:
Yes it is. All obtuse angles have measures greater than 90.
Step-by-step explanation:
Reasoning It has to be Higher then 90 degrees to be called obtuse. This rule applys for all.
help please (ignore my answer i just put whatever)
Answer:the awnser would b 2
Step-by-step explanation: it’s telling you if you look at the triangle from ABC it’s 54 degrees, but if you look at it from BAC it’s 30 degrees so you can only draw 2 triangles because no other combination is given the only other information we know is the line connecting A and B is 5 in some length which is a line not a triangle it would be a triangle thou if lines BC and AC were given. Long story short it’s B) 2
Mia invests $5,000 in an index fund. After 1 year, the fund's share price has increased by 8%. How much did Mia gain?
Answer: In the end, she has $5400 in total, so she must gain $400 on her investment.
Step-by-step explanation:
8% is 0.08 >>> add 1 to it = 1.08
5000*1.08 = 5400
or the other way to do this is 5000*0.08 = 400 and then 5000+400=5400
Hope this helps!
wo runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. The second runner has $50 in savings and will save $60 each month.
Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money?
112 – 25m + 45 = 50 – 60m
112 + 25 + 45m = 50m + 60
112 + 25 – 45m = –50m + 60
112 + 25m + 45 = 50 + 60m
Answer:
I believe the last answer is correct
Step-by-step explanation:
Both runners are gaining money
WILL GIVE BRAINLIST!
What is the slope of the line graphed on the coordinate plane?
A graph with a line running through coordinates (0, 6) and coordinates (1, -2)
Work Shown:
Apply the slope formula
m = (y2-y1)/(x2-x1)
m = (-2-6)/(1-0)
m = -8/1
m = -8
The slope is -8
We can think of it like saying "go down 8 and move to the right 1 unit", since -8 = -8/1.
Put another way: slope = rise/run = -8/1
rise = -8 and run = 1.
Answer:
-8
it's easy just use the equation y2-y1 ÷ x2-x1
is it possible for a triangle to have an 80 degree angle and 105 degree angle? How do you know?
Answer:
Not possible.
Step-by-step explanation:
The sum of all 3 angles in a triangle is 180°. With the 80° and 105°, those add up to a total of 185°. This is bigger than can be with a given triangle. Therefore, a triangle with an 80° angle and a 105° angle is not possible.
Answer:
No it isn't possible
Step-by-step explanation:
sum of three angles of any triangle is 180 degrees.
so, as per Given question sum of only two angles exceeds 180 degrees which is " 80+105= 185" so it's not possible.. Hope this answer helps you
Write a expression to represent each situation
Olivia bought 8 bags of fruit at the farmer's market. She put
a apples and b bananas in each bag.
Step-by-step explanation:
number of bags=8bags
which is the fruits=apples and bananas
total number of apples and bananas bag = 4 bag of each