51/5 × 17/4 ×2
=51/5 ×17/2
= 867/10
Based on the following circle, solve for the value of a.
Help picture below problem 12
Answer:
80 degrees
Step-by-step explanation:
This is a really confusing question with a really confusing answer. Basically, the 80 degree angle that they give us (Angle 2, I think) is equivalent to Angle 4, Angle 5, and Angle 3. I know that might seem really weird, but if you look closely at all the angles I just named, they all look like they are about the same measure. They are all slightly less than a right angle (90 degrees) and none of them are obtuse angles- they're all acute. Basically, the answer is 80.
And if I'm wrong, I am so sorry! I still sometimes get confused on these type of questions. Well, I hope its right and I hope that if it is, it was helpful! Have a lovely day!! :)
Which expression is equivalent to 8(a+3)
Answer:
8a + 24
Step-by-step explanation:
Use Distributive property: a(b +c) = a*b + a*c
Here a = 8 ; b= a & c = 3
8(a + 3) = 8*a + 8*3
= 8a + 24
Which of the following points is a solution to the system of equations x - y = 1 and -x + 3y = - 7?
(-2,2) is a solution.
0 (-2, - 3) is a solution.
(1. - 2) is a solution.
(4.3) is a solution
Answer:
(-2,-3)
Step-by-step explanation:
Put the equations over each other.
[tex] \binom{x - y = 1}{ - x + 3y = - 7 } [/tex]
Subtract the x values.
[tex] \binom{ - y = 1}{3y = - 7} [/tex]
Subtract on both sides.
[tex]2y = - 6[/tex]
Divide on both sides.
[tex]y = - 3[/tex]
Insert the y value into one of the equations.
[tex]x - ( - 3) = 1[/tex]
Get rid of the parenthesis.
[tex]x + 3 = 1[/tex]
Subtract on both sides.
[tex]x = - 2[/tex]
You could also individually plug in each solution into both equations to see if they are true.
3) After measuring the heights of 7 people, they have an average height of 156cm. After
measuring the heights of 8 people they have an average height of 158cm. How tall is
the 8th person?
Answer greatly appreciated asap
Answer:
172 cm
Step-by-step explanation:
The total height of the first 7 people is the average of the 7 people multiplied by the number of people, which is 156 * 7 or 1092. Using the same method, the total height of the first 8 people is 158*8 or 1264. The eighth person must be 1264 - 1092 cm tall or 172 cm tall.
Help help help please please
Answer:
The answer would be A.
Step-by-step explanation:
The answer would be A because the line is going down in question B, meaning that it would be a negative slope so that would not be correct. X=1x meaning that the line goes up one and goes right one block.Both of the slopes have the same y-interceptThe less than or equal sign (< with a line) is pointing away from y, meaning y is less than or equal to x+5. This doesn't matter in this graph in particular though because the inequality sign used for both graphs are the same here.Evaluate the double integral int int y^3 dA where D is the triangular region with vertices (0,1), (7,0) and (1,1).
Answer:
1/5
Step-by-step explanation:
Refer to the image for the region. I've chosen to "scan" the region horizontally for convenience sake, so x varies for values between the green and the red line, and y varies from 0 to 1.
The two lines have equations [tex]x=7-6y[/tex] (red line) and [tex]x=7-7y[/tex] (green line). Since we're integrating first with respect to x, it's easier to write the equation like that and not as [tex]y=mx+q[/tex] since they will become our new limits of integration
Our double integral will become
[tex]\int \limits_0^1 \ \ \int \limits_{7-7y}^{7-6y}y^3dxdy = \int \limits_0^1 y^3x|\limits_{7-7y}^{7-6y} dy =\\\int \limits_0^1 y^3[(7-6y)-(7-7y)]dy = \int \limits_0^1y^3(y)dy =\\\int \limits_0^1 y^4dy =\frac15y^5|\limits_0^1=\frac15[/tex]
4 2 5 0
3 2 8 7
2 1 8 ?
Answer:
5
Step-by-step explanation:
What is the axis of symmetry for y=2x^2+16x-5
Answer:
[tex]x=-4[/tex]
Step-by-step explanation:
Convert to vertex form by completing the square
[tex]y=2x^2+16x-5\\\\y=2(x^2+8x-\frac{5}{2})\\ \\y+2(\frac{37}{2})=2(x^2+8x-\frac{5}{2}+\frac{37}{2})\\ \\y+37=2(x^2+8x+16)\\\\y+37=2(x+4)^2\\\\y=2(x+4)^2-37[/tex]
Since the equation is now in the form of [tex]y=a(x-h)^2+k[/tex], the axis of symmetry is where [tex]x=h[/tex], so, the axis of symmetry is [tex]x=-4[/tex].
Answer:
x=-4
Step-by-step explanation:
i took the test
What is the value of x?
Enter your answer in the box.
Since it is an equilateral triangle, all the sides are equal
(To make things more simple, you can compare 2 sides out of 3 --> as in you can choose the 2 most simple ones to solve)
4x-10 = 3x+2 Simplify like terms
x = 12
If you want to prove, just plug 12 back into each side
Hope this helped :)
What is the center and radius of the circle?
(x-3)2 + y² = 4
Answer:
center = (3, 0)
radius = 2
Step-by-step explanation:
Standard equation of a circle: [tex]\sf (x-h)^2+(y-k)^2=r^2[/tex]
(where (h, k) is the center of the circle and r is the radius)
Given equation:
[tex]\sf (x-3)^2+y^2=4[/tex]
Rewrite in standard form:
[tex]\sf \implies (x-3)^2+(y-0)^2=2^2[/tex]
Therefore
center = (3, 0)radius = 2If the mass of an object on Earth is 9 grams, what would the mass of the same object be on
the Moon?
Answer:
1.49 Grams
Step-by-step explanation:
Answer:
9 gms.
Step-by-step explanation:
mass will be same.
weight will be different.
Under a dilation, the point (2, 6) is moved to (6, 18).
What is the scale factor of the dilation?
Enter your answer in the box.
Answer quick please !!!
Answer:
3
Step-by-step explanation:
Answer: The correct answer is 3
Step-by-step explanation:
:) it should be correct have a good day!
what ratio is equivilant to 4 : 5
Answer:
Any ratio where the original sides are both multiplied by the same number.
For example,
4 : 5 (your ratio)
4 x 2 : 5 x 2 (multiply both sides by a number)
8 : 10 (equivalent ration)
i need someone whos really good at geometry to help with my finals pleaseeeeee
Answer:
8 in
Step-by-step explanation:
A 45-45-90 triangle is a special triangle with side length ratio 1 : 1 : √2
The legs are equal in length.
The length of the hypotenuse is √2 times the length of a leg.
Therefore, if the hypotenuse of a 45-45-90 triangle is 8√2 inches, the leg lengths are 8 inches each in length.
Which of the following units are units of capacity? Select all that apply.
Three and one fifth of 1 1/2 is what number?
Answer:
10 6/25
Step-by-step explanation:
"three and one fifth" symbolically is 3 1/5 or 3.2 or 16/5.
Then "three and one fifth" of 1 1/2 is:
3.2*3.2 = 10.24 or 10 24/100 or 10 6/25 or 256/25
You invest $2,000 in an account that is compounded annually at an interest rate of 5%. You never
withdraw money from the account. How much money will be in the account after 4 years?
Answer:
$2,400
Step-by-step explanation:
First we need to find whatever that 5% is.
[tex]\frac{5}{100} \times \frac{2000}{1}[/tex]
Which gives us $100.
Now, we multiply the $100 by 4.
Which is $400.
Now, we add that to the $2,000.
Which gives us $2,400.
Sorry for the late reply but hope this helps
A card is picked from a standard deck of 52 cards. Determine the odds against and the odds in favor of selecting a red face card (king, queen, or jack).
6 red face cards
->in favour:
6/52
= 3/26
-> against:
52-6= 46
46/52
=23/26
The measure of an angle is 107.4 what is the measure of its supplemental angle ?
Answer:
72.6
Step-by-step explanation:
180-107.4 = 72.6
what is the total number of unique triangles that can be made with the side lengths of 4cm, 5cm, and 10cm can be drawn? PLS HELP I WILL MARK BRAINLIEST
Answer:
One
Step-by-step explanation:
First, we need to check a triangle with these sides is possible. Since 4 plus 5 is 9, and 9 is less than 10, we can make a triangle with these sides.
To answer the question, we can only make one unique triangle. Why? They give us three lengths and a triangle has three sides.
However, if they are counting a triangle in different positions the answer will be greater. Since it would just be the same triangle, I am going with the answer of only one.
Can you find the missing side lengths?
Answer:
I may be wrong but I think the missing side is 7.
Step-by-step explanation:
because 40 minus 8 is 32 so I did 15 minus 8 and got 7
help I'm confused like always
Answer:
negative
Step-by-step explanation:
The good part about this question is you don't have to know the actual values of b or c, otherwise, I would be stumped too.
Given:
b is within 0 -> 1 b is positive
c is within -1 -> -2, c is negative
[tex]\frac{b}{c}[/tex] = b/c. When you have a fraction and one numerator is positive while the denominator is negative (or visa-versa, numerator is negative and denominator is positive), then the answer will ALWAYS be negative
so +b/-c = negative result
need help with geometry (number3)
Answer:
Step-by-step explanation:
If this is a parallelogram., this means that the opposite angles are congruent. Thus, the erasure of angle E is equal to the measure of angle G.
So, 10x-21=4x+27, meaning x=8.
Therefore, the measure of angle E is 10(8)-21=59 degrees
what does 1/10 + 1/100 equal?
Answer:
0.11
Step-by-step explanation:
[tex] \frac{1}{10} + \frac{1}{100} \\ \\ = \frac{10}{100} + \frac{1}{100} \\ \\ = \frac{11}{100} \\ \\ = 0.11[/tex]
find the inverse of f(x)= x-3/2
i dont understand this
Answer:
the correct answer is shown below
Step-by-step explanation:
hope this helps
A Cinema has 240 seats. 144 seats were sold
for the current movie. What percent of seats
are empty?
Need help please :)
Answer:
the answer is 40%
Step-by-step explanation:
240 – 144 = 96
96÷240=0.4=40%
Hope this helps:)....if not then sorry for wasting your time and may God bless you:)
What is the solution to the system of equation s x+y=4. X=y-1
Answer:
x = 3/2
y = 5/2
Step-by-step explanation:
x + y = 4
x = y - 1
substitute y - 1 in for x in the first equation, to find y
y - 1 + y = 4
2y - 1 = 4
add 1 on both sides
2y - 1 = 4
+1 +1
2y = 5
divide by 2 on both sides
2y/2 = 5/2
y = 5/2
subtitute y in for the second equation, to find x
x = 5/2 - 1
x = 5/2 - 2/2
x = 3/2
so x = 3/2 and y = 5/2
to double check, plug x and y in the first equation
3/2 + 5/2 = 4
8/2 = 4
4 = 4
JKL and RST are shown below. Which of the following statements is true? Look at picture.
Answer:
Triangle JLK congruent to Triangle RTS is the only true statement
Step-by-step explanation:
AngleJKL is not corresponding to AngleRTS because AngleRTS is a right angle and AngleJKL is not.
The triangles are congruent by HL because one leg and the hypotenuse are congruent.
Triangle congruence can be determined so the third statement is incorrect.
TR is not congruent to KJ. TR=3.7 and KJ=4.5
PLEASE HELP IT"S MATHHHHH< I"LL MARK U BRANLIEST
Step-by-step explanation:
we cannot read the name of the vertical line through B, but I guess that is "m".
so, if we reflect ("mirror") the line BC across "m", then B stays where it is (on line "m"), and C flips over into A.
therefore, if I understand the question correctly, the second option (line BA) is right.
because the reflected image of line BC is line BA.