a1 = 92 cm
b1 = 66.7 cm
a2 = 38 cm
b2 = 53.42 cm
h = 52 cm
Answer:
area=250.12. perimeter=3380
Step-by-step explanation:
(x - 3)² + (x - 1)² = 8
Identify the center and radius of each
Answer:
The center is at (3,1) and the radius is [tex]\sqrt{8}[/tex]
Step-by-step explanation:
I am going to assume you meant to write
[tex](x-3)^2+(y-1)^2 = 8[/tex]
Since if both variables were x it would not be a circle:
Then you can find the center and radius using the general formula of a circle:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
where the center is at (h,k) and r is the radius
Therefore:
The center is at (3,1) and the radius is [tex]\sqrt{8}[/tex]
Which function is the result of vertically shrinking ƒ(x) = (x + 1)2 by a factor of 1∕6?
Question 6 options:
A) ƒ(x) = (6x + 1)2
B) ƒ(x) = (1∕6x + 1)2
C) ƒ(x) = 6(x + 1)2
D) ƒ(x) = 1∕6 (x + 1)2
Answer:
[tex]y=\frac{1}{6}(x+1)^2[/tex] is the result of vertically shrinking
Step-by-step explanation:
Vertical stretch or shrink
[tex]y=c \cdot f(x)[/tex]
a stretch by a factor of c if c>1
a shrink by a factor of c if c<1
c is the factor
We are given that factor = 1/6 <1
So, Vertical shrink
So, [tex]y = \frac{1}{6} \cdot f(x)[/tex]
We are given that [tex]f(x) = (x + 1)^2[/tex]
So,[tex]y=\frac{1}{6}(x+1)^2[/tex]
Option D is true
Hence [tex]y=\frac{1}{6}(x+1)^2[/tex] is the result of vertically shrinking
Answer:
ƒ(x) = (1∕6x + 1)^2
Step-by-step explanation:
Find the greatest common factor of 24, 40 and 60
Please answer asap ty!!
Answer:
4
Step-by-step explanation:
Answer:
GCF=4
Step-by-step explanation:
It's 4
24/4=6
40/4=10
60/4=15
You can't go any higher because there is no GCF of 6, 10, and 15.
The measure of an angle is 17°. What is the measure of its complementary angle?
Answer:
73°
Step-by-step explanation:
the measure of two complementary angles add up to 90
so We need to solve this equation to get the measure of its complementary angle :
x + 17 = 90
then
x = 90 - 17
= 73
What is the surface area?
10 cm
8 cm
10 cm
12 cm
10 cm
square centimeters
Step-by-step explanation:
surface area = (2*0.5*12*8) + (2*10*10) + (12*10)
= 96 + 200 + 120
= 416 cm^2
A factory uses 3/4 of a barrel of raisins in each batch of granola bars. Yesterday, the factory
used 1 1/2 barrels of raisins. How many batches of granola bars did the factory make
yesterday?
Answer:
Step-by-step explanation:
3/4 * 2 = 1 1/2
The factory made two batches of granola bars.
what’s the missing number ?
Answer:
84
Step-by-step explanation:
One way to solve proportions is to cross multiply. If we name the unknown value x, then we can see that:
2x = 12(14)
2x = 168
x = 84
Another way to solve proportions is to ask, what number did you multiply the first numerator by to get the second numerator. In this case, what do you have to multiply 2 with to get 14. The answer is 7, so that means you must also multiply the first denominator by 7 to get the second denominator, or in this case, the unknown value. 12 x 7 = 84, so the missing number is 84.
Hope this helped! :)
Simplify 4x-3(x-2y)+ .5(6x-8y)
Answer:
4x +2y
Step-by-step explanation:
4x-3(x-2y)+ .5(6x-8y)
Distribute
4x -3x+6y +3x -4y
Combine like terms
4x-3x+3x +6y-4y
4x +2y
Question 2 of 10
2 Points
What is the location of the point on the number line that is of the way from
A = 37 to B = 13?
A 19
B. 28
C. 31
D. 25
Answer:
31
Step-by-step explanation:
What is the circumference of the circle? Use 3.14 for pi r=6.4 cm circle
So the right answer is of option B.
Look at the attached picture
Hope it will be helpful to you..
Good luck for your test...
3. Find x, y, and z.
zº
xº
y
18°
64°
Answer:
[tex]y = 18 \: \: degrees[/tex]( vertically opposite angles)
[tex]x = 64 \: \: degrees[/tex]
[tex]y + z + x = 180 \\ 18 + z + 64 = 180 \\ 82 + z = 180 \\ z = 180 - 82 \\ z = 98 \: \: degrees[/tex]
what is the slope of the line that passes through the points (-4,-4) and (-4,-9)? Write your answer in simplest form
Answer:
undefined
Step-by-step explanation:
We can find the slope of a line using two points by
m = (y2-y1)/(x2-x1)
= (-9- -4)/(-4 - -4)
= (-9+4)/(-4+4)
= -5/0
When we divide by zero, our solutions is undefined
The slope is undefined
So do i divide by 2 each time?
Sorin hits a cricket ball straight up into the air. After 1.5s, the ball is falling straight down with a speed of 6.5 m/s. We want to find the initial vertical velocity of the ball. We can ignore air resistance. Which kinematic formula would be most useful to solve for the target unknown?
Step-by-step explanation:
We have, Sorin hits a cricket ball straight up into the air. After 1.5 s, the ball is falling straight down with a speed of 6.5 m/s.
We want to find the initial vertical velocity of the ball.
The relation between initial speed, final speed, acceleration and time is given by using first equation of kinematics. Let v₀ is the initial speed. So,
[tex]v=v_o +at[/tex]
Here, v = -6.5 m/s, t = 1.5 s and a = -g
[tex]v_o=v-at\\\\v_o=v+gt\\\\v_o=-6.5+9.8\times 1.5\\\\v_o=8.2\ m/s[/tex]
So, the initial velocity of the ball is 8.2 m/s and the formula used is (1).
Write 21 9/1000 in decimal form
Answer:
the answer in decimal form is 21.009
Answer:
= 21.009
Step-by-step explanation:
First change it to an improper fraction
= 1000 x 21 + 9
= 21009/ 1000
You then divide it by 1000 without leaving a remainder.
= 21.009
What two numbers have a sum of 191 and a difference of 63
Answer:
Step-by-step explanation:
a+b=191
a-b=63
i sum these
a+b+a-b=191+63
2a=254
a=254/2
a=127
b=191-127
b=64
Answer:
127 and 64
Step-by-step explanation:
To solve this, we can set up a system of equations.
We can name the first number x and the second number y.
x+y=191
x-y=63
We can use elimination to eliminate the y variable.
We do this by adding the equations together
x+y=191
+ x-y=63
_________
2x=254
Divide both sides by 2.
x=127
Now we can plug that in to find y.
x+y=191
127+y=191
Subtract 127 from both sides.
y=64
So our two numbers are 127 and 64.
13th term of 2, 10, 18, 26
Answer:
192
Step-by-step explanation:
Add 8 started from 2 and keep going till you hit 192.
Answer:
a1 = 2 d = 8
n = 13
an = a1 + d(n-1)
a(13) = 2 + 8(13-1)
2 + 8(12)
2 + 96 = 98
Step-by-step explanation:
1. identify the terms
2. write down the arithmetic sequence formula and then replace the letters with their values.
3. do parenthesis first, then multiply by d.
4. add them together to get the 13th term
But The aquarium charges $12 per ticket for adults and $5per ticket for children. A group of 90 children and adult chaperones visited the aquartum on a held trip. If the total cost of their tickets was $548, how mamy chaperones were there?
Answer:
There were 76 childrens and 14 adults.
Step-by-step explanation:
Since the group has a total of 90 children and adults, then the sum of the number of adults with the number of children must be equal to 90 as shown below:
children + adults = 90
Since the total cost for their tickets was 548 then the number of children multiplied by the price of their ticket summed by the number of adults multiplied by the price of their ticket must be equal to that. We have:
5*children + 12*adults = 548
With these two equations we have a system of equations shown below:
children + adults = 90
5*children + 12*adults = 548
In order to solve this we will multiply the first equation by -5, and sum both equations we have:
-5*children - 5*adults = -450
5*children + 12*adults = 548
7*adults = 98
adults = 98/7 = 14
children + 14 = 90
children = 90 - 14 = 76
There were 76 childrens and 14 adults.
A rectangular prism has a length of 12in, a height of 5in, and a width of 8in. What is its volume, in cubic in?
Answer: The volume is 480 in^3
Step-by-step explanation:
v= lwh
v= 12 * 5 * 8
v= 480 in^3
Answer:
Volume of the rectangular prism = [tex]480in.^{3}[/tex]
Step-by-step explanation:
Formula for the volume of a rectangular prism= Ah, where A= base area
& h= height
Base area(A)= Length×Width
= 12in.×8in.
= [tex]96in.^{2}[/tex]
Since height=5in.,
Volume= [tex]96in.^{2}[/tex]×5in.
= [tex]480in.^{3}[/tex]
Hope this helps!!!
Pls mark as brainliest
Round your answer to the nearest hundredth..
B
?
5
2
A
С
Answer: m<B = 66.42
Step-by-step explanation:
Use cosine to find the missing angle.
Cosine = adjacent/hypotenuse
cos x = 2/5
since you know the side lengths and you’re finding the angle, use inverse cosine
cos -1 (2/5) = 66.4218215...
m<B = 66.42
Hey there!
We are looking for an angle. Whenever we want to look for an angle in a right triangle given two sides, we use inverse trigonometric functions. This is basically the inverse operation of the sine, cosine, and tangent. You could use it to undo any of these in an equation. If you said that the sine of x was equal to 1/2, you would do the inverse sine of 1/2 and get that x=30.
In our case, we see that the cosine of our angle is 2/5. How do we know that?
Well, we can remember the trigonometric functions using the mnemonic "soh cah toa"
SOH
Sine= Opposite/Hypotenuse
CAH
Cosine= Adjacent/Hypotenuse
TOA
Tangent= Opposite/Adjacent
If we look at the number values we have, we have 2 (the adjacent side to the angle) and 5 (the hypotenuse). This is adjacent over hypotenuse, which is the cosine. So, the cosine of our angle is 2/5.
Now, we can put this into an equation. I will call the measure of our mystery angle Θ (theta).
cosΘ= 2/5
We want to get the theta by itself to solve the equation. To do this, we have to use the inverse cosine on both sides of the equation to cancel out our cosine and figure out the value of theta. The inverse trig functions can be found on a calculator :)
cos[tex]^-1[/tex]cosΘ=cos[tex]^-1[/tex] 2/5
Θ ≈ 66.42
I hope that this helps! Now you will be able to find any angle given two sides of a right triangle! Have a wonderful day!
PLEASE ANSWER THIS ASAP
Answer:
i really dont know
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The slope (rate of change) are 2/5 or .4 for both of them
3. Nine books are to be bought by a student. Some
cost $6 each and the remainder cost $6.50 each.
If the total amount spent was $56, how many
books at each price are bought?
Answer:grjjrd
Step-by-step explanation:fdfgdjj
Please answer i'll give brainlist
AD and BE are diameters. What is the measure of arc EDC
A. 125 degrees
B. 145 degrees
C. 235 degrees
D. 215 degrees
Answer:
a
Step-by-step explanation:
Point N′(7, –8) is the image of point N(7, 8) under a reflection. What is the image of (–4, –10) under the same reflection?
Answer:
Image of the point (-4, -10) after reflection will be (-4, 10).
Step-by-step explanation:
Point N(7, 8) when reflected across x-axis, coordinates of the image point become N'(7, -8).
Rule for the reflection over the x-axis is
(x, y) → (x, -y)
Under the same reflection or following the same rule rule,
(-4, -10) → (-4, +10)
Therefore, image of the point (-4, -10) after reflection will be (-4, 10)
can net worth be negative?
Answer:
our net worth can tell you many things. If the figure is negative, it means you owe more than you own. If the number is positive, you own more than you owe. ... Negative net worth does not necessarily indicate that you are financially irresponsible; it just means that – right now – you have more liabilities than assets
Step-by-step explanation:
hope it help
Yes, of course. A good fraction of the people on earth owe more than they own, so have negative net worth.
In the USA about 14% of the households have negative net worth. I would have guessed that credit card debt was the culprit, but it's mostly student loans that drag folks into this category.
What is the answer? Plz need help
30x and 12 have a common factor of 6. So yes, this might have been the result of distributing the 6 in
6(5x - 2)
Answer:
30x - 12 = 2(15x - 6)
30x - 12 = 3(10x - 4)
30x - 12 = 6(5x - 2)
Step-by-step explanation:
30 and 12 have these factors in common: 2, 3, 6
There are three possible answers.
30x - 12 = 2(15x - 6)
30x - 12 = 3(10x - 4)
30x - 12 = 6(5x - 2)
which point is an x-intercept of the quadratic function
f(x)=(x-8)(x+9) ?
Answer:
(0, 8)
Step-by-step explanation:
i just got this question
Answer:
(-9,0)
Step-by-step explanation:
To find the x intercept, set y=0 and solve for x
f(x) = (x-8) (x+9)
0 = (x-8) (x+9)
Using the zero product property
x-8 =0 x+9=0
x=8 x=-9
(8,0) (-9,0) are the x intercepts
Need Answer Fast Please to solve the Linear Expression: 5(5n+2)+(3-2n)
Answer:
23n +13
Step-by-step explanation:
5(5n+2)+(3-2n)
Distribute
25n + 10 +3 -2n
Combine like terms
25n -2n + 10+3
23n +13
Answer:
[tex]23n + 13[/tex]
Step-by-step explanation:
[tex]5(5n + 2) + (3 - 2n) \\ 25n + 10 + 3 - 2n \\ 25n - 2n + 10 + 3 \\ = 23n + 13[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
The answer to 7/12 divided by 2
Answer: 7/24
Step-by-step explanation: Think of the 2 as 2/1.
When dividing by a fraction, we can simply change, we can simply change the multiplication sig to division and take the reciprocal of the second fraction or flip the second fraction.
So our problem can be rewritten as [tex](\frac{7}{12})[/tex] [tex]x[/tex] [tex](\frac{1}{2})[/tex].
Now multiplying across the top and bottom we get 7/24.
Answer:
7/24
Step-by-step explanation:
the guy was right! (also khan said so)
