© ABCD is a rectangle with sides 6 cm and
8 cm. If its diagonals cross at X, the length
of AX is
Answer:
10
Step-by-step explanation:
If the sides of the rectangle is 6cm and 8cm, then we mean that, the length and breadth are 6cm and 8cm
The diagonal which cross at AX will be the hypotenus of the triangle formed by drawing the diagonal.
Hence,
Hypotenus = sqrt (opposite² + adjacent²)
AX = sqrt[(8²) + (6²)]
AX = sqrt(64 + 36)
AX = sqrt(100)
AX = 10
On a coordinate plane, the center of a circle P is at the point (2, 15) . Point M is located on the circle at (7, 3). Which equation describes circle P?
Answer: (x - 2)^2 + (y - 15)^2 = 13^2
Step-by-step explanation:
We know that the general equation for a circle is:
(x - a)^2 + (y - b)^2 = R^2
Where:
(a, b) is the center of the circle
R is the radius of the circle.
First, we know that the center of the circle is the point P, (2, 15)
Now, we also know that point M, (7, 3), is located at the circle.
Then we know that the radius of the circle will be equal to the distance between point P and point M.
Remember that the distance between two points (a, b) and (c, d) is:
Distance = √( (a - c)^2 + (b - d)^2)
Then in our case, we have:
Distance = √( (2 - 7)^2 + (15 - 3)^2) = √(25 + 144) = 13
This means that the radius of the circle is R = 13.
Now we know the radius of the circle and the center of the circle, then we can write the equation of the circle as:
(x - 2)^2 + (y - 15)^2 = 13^2
The geometric figure that is created after plotting the points A (-3,-6), B (5,-6), C (5,-4) and D (-3,-4) on the
coordinate plane is a
A triangle.
B square.
c circle.
D rectangle.
Answer:
D. a rectangle
Step-by-step explanation:
5) Amarian scored 24 points in the second half of the basketball game.
This is 75% of the points he scored in the game. How many points did
Amarian score in the game?
(The answer is NOT 18)
Marcy brought 25 pencil for $1.50. What is the cost, in dollars, of 1 pencil.
Which triangles are similar?
Answer:
A and c are similar except C is bigger than as so the scaling has gotten higher, so the answer is D
Step-by-step explanation:
i really need help with this im trying to get my grade up
250 is what percent of 200?
Answer:
125%
Step-by-step explanation:
Answer:
125
Step-by-step explanation:
What percent is 250 of 200? If you are using a calculator, simply enter 250÷200×100 which will give you 125 as the answer.
Hope that helps
Have a good day :)
Find the average rate of change
f(x)=x^2+9x+13 where x2=5 and x1=2
the answer in the picture
O is the centre of the circle. AB is a diameter.
Calculate the values of a and b. Please help i cant understand it, i’ll give the brainliest for the person who answers correctly
Answer:
The value of a is 63° and the value of b is 27°
Step-by-step explanation:
In the given figure
∵ OA, OB, and OC are radii of the circle O
→ The radii of a circle are equal
∴ OA = OB = OC
In Δ AOC
∵ OA = OC
∴ Δ AOC is an isosceles triangle
→ Base angles of the isosceles triangle are equal
∵ ∠OAC and ∠OCA are the base angles of the triangle
∴ m∠OAC = m∠OCA
∵ m∠OAC = a°
∴ m∠OCA = a°
→ The sum of angles in any triangle is 180°
∵ a° + a° + m∠AOC = 180°
∵ m∠AOC = 54°
∴ a° + a° + 54 = 180°
→ Add the like terms
∴ 2a° + 54 = 180°
→ Subtract 54 from both sides
∴ 2a° = 126°
→ Divide both sides by 2
∵ m∠OAC = m∠OCA = 126 ÷ 2
∴ a° = 63
∴ The value of a is 63°
In ΔBOC
∵ OB = OC
∴ Δ BOC is an isosceles triangle
→ Base angles of the isosceles triangle are equal
∵ ∠OBC and ∠OCB are the base angles of the triangle
∴ m∠OBC = m∠OCB
∵ m∠OBC = b°
∴ m∠OCB = b°
∵ ∠AOC is an exterior angle of ΔBOC at the vertex O
→ The measure of the exterior angle equals the sum of the measure
of the opposite interior angles to this vertex
∵ ∠OBC and ∠OCB are the opposite interior angle of ∠AOC
∴ m∠OBC + m∠OCB = m∠AOC
→ Substitute their measures
∵ b° + b° = 54°
→ Add the like terms
∴ 2b° = 54
→ Divide both sides by 2
∴ b° = 27
∴ The value of b is 27°
PLEASE I BEG OF YOU PLEASE HELP ME PLEASEE
Answer:
hmmm this is too hard for me.
Step-by-step explanation:
3x +4= 9x + 3 I need help PLEASEEE
Answer:
x=-1/6
I luv u
z varies directly with q. when z=2,q=1 .
find a formula connecting z and q
z=???
Answer:
[tex]z = \frac{q}{2} [/tex]
Step-by-step explanation:
[tex]z \infty q[/tex]
[tex]z = kq[/tex]
[tex]z = 2 \: and \: q = 1[/tex]
[tex]2 = k1[/tex]
[tex]k = \frac{2}{1} [/tex]
[tex]z = \frac{1}{2} q[/tex]
[tex]z = \frac{q}{2} [/tex]
9514 1404 393
Answer:
z = 2q
Step-by-step explanation:
The formula for direct variation is ...
z = kq . . . . . k is the constant of proportionality
We can find k using the given values of z and q:
k = z/q = 2/1 = 2
Then the equation connecting z and q is ...
z = 2q
There are 4 cups in a row from left to right. The green cup is somewhere between the yellow and blue cups. The red cup is somewhere left of the yellow cup. Based on that information, how many different arrangements of these cups could there be?
Answer:
Le answer tis 4 UwU
Step-by-step explanation: G'day mate!
P.S- Brainlest plzz??
Answer:
5
Step-by-step explanation:
e
this is for freckle which I hate can someone help?
Answer:
The answer is B. 26 miles per hour.
Step-by-step explanation:
13+13=26
X goes by an hour.
The non-fiction section of the Montgomery County Library has 15 racks. If each rack holds 528 books, what is the total collection of non-fiction books in the library.
Answer:
when you do 15×528 you get 7920 books
Please help
Need working for 2 and 3
Answer:
Question 3:
51/16
As a mixed number =
3 3/16
Step by step explanation:
You have to convert the fraction into improper fractions so 8 ½ = 17/2
and 2⅔ = 8/3
then you do 17/2 ÷ 8/3 which =
51/16 theb turn this number into a mixed number which is
3 3/16
Decrease £313 by 62%
Give your answer rounded to 2 DP.
Answer:
194.06
Step-by-step explanation:
£313 decreased by 62% is £118.94
In order to determine the answer, the first step to take is to determine the value of 62% of £313.
Value of 62% = 62% x £313
0.62 x £313 = £194.06
The second step is to subtract the value of 62% of £313 from £313
£313 - £194.06 = £118.94
In order to decrease £313 by 62%, the first step is to determine the value of 62% of £313 and then subtract the value gotten from the previous step from £313.
A similar answer was solved here: https://brainly.com/question/18837466?referrer=searchResults
PLEASE HELP
need to know cos(F), sin(F), and tan(F)
WILL GIVE BRAINLIEST
Answer:
Cos(F) = 5/13
Sin(F) = 12/13
Tan(F) = 12/5
Step-by-step explanation:
Soh Sine: Opposite(12) over Hypotenuse(13)
Cah Cosine: Adjacent(5) over Hypotenuse(13)
Toa Tangent: Opposite(12) over Adjacent(5)
If an 8 sided solid is rolled 180 times, how many times would you expect either a 3,5, or 7 to be rolled?
Answer:
no
Step-by-step explanation:
Susan purchased a prepaid phone card for $15. Long distance calls cost 14 cents a minute using this card. Susan used her card only once to make a long distance call. If the remaining credit on her card is $9.26, how many minutes did her call last?
Answer:
41 minutes
Step-by-step explanation:
Step one:
given data
Susan purchased a prepaid phone card for $15
let the number of minutes be x
and let the total be y
per minute call cost = 14 cents = $0.14 per minute
Hence the expression for the situation is given as
y= 15-0.14x
Step two:
given that the balance after a call is 9.26
9.26=15-0.14x
solve for x
9.26-15= -0.14x
5.74=0.14x
divide both sides by 0.14
x=5.74/0.14
x=41 minutes
Someone please help me
Which gives the prices in order, from least to greatest
Answer:
is there a picture to go with the problem?
Hola chicos, solo necesito ayuda con la vida. Solo bromeaba o lo estoy?
Answer:
no sé eres tú
Step-by-step explanation:
Find the greatest common factor.
3x^2a+3xa^2
Since
3
x
2
a
,
3
x
a
2
contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.
Steps to find the GCF for
3
x
2
a
,
3
x
a
2
:
1. Find the GCF for the numerical part
3
,
3
2. Find the GCF for the variable part
x
2
,
a
1
,
x
1
,
a
2
3. Multiply the values together
Find the common factors for the numerical part:
3
,
3
The factors for
3
are
1
,
3
.
Tap for more steps...
1
,
3
The factors for
3
are
1
,
3
.
Tap for more steps...
1
,
3
List all the factors for
3
,
3
to find the common factors.
3
:
1
,
3
3
:
1
,
3
The common factors for
3
,
3
are
1
,
3
.
1
,
3
The GCF for the numerical part is
3
.
GCF
Numerical
=
3
Next, find the common factors for the variable part:
x
2
,
a
,
x
,
a
2
The factors for
x
2
are
x
⋅
x
.
x
⋅
x
The factor for
a
1
is
a
itself.
a
The factor for
x
1
is
x
itself.
x
The factors for
a
2
are
a
⋅
a
.
a
⋅
a
List all the factors for
x
2
,
a
1
,
x
1
,
a
2
to find the common factors.
x
2
=
x
⋅
x
a
1
=
a
x
1
=
x
a
2
=
a
⋅
a
The common factors for the variables
x
2
,
a
1
,
x
1
,
a
2
are
x
⋅
a
.
x
⋅
a
The GCF for the variable part is
x
a
.
GCF
Variable
=
x
a
Multiply the GCF of the numerical part
3
and the GCF of the variable part
x
a
.
3
x
a
Answer: 3xa
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor
hii can someone help with this pls :)
i think it’s (0.6,2.8) but i’m not sure so can someone confirm
Answer:
[tex]R(x,y) = (0.8,-1.2)[/tex]
Step-by-step explanation:
The coordinates of QS are:
[tex]Q(x_1,y_1) = (-2,-6)[/tex]
[tex]S(x_2,y_2) = (5,6)[/tex]
The ratio is represented as:
[tex]R_{m:n} = 2:3[/tex]
Required
Find the coordinates of R
The coordinates of R is calculated by:
[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Substitute values for m, n, x's and y's
[tex]R(x,y) = (\frac{2 * 5 + 3 * -2}{2+3},\frac{2*6 + 3*-6}{2+3})[/tex]
[tex]R(x,y) = (\frac{4}{5},\frac{-6}{5})[/tex]
[tex]R(x,y) = (0.8,-1.2)[/tex]
None of the options is correct
help me pleaseeeeeeee
4/3(6y+21)-17>43 help pls
Answer:
Step-by-step explanation:
4/3(6y+21)-17=43
move all terms to the left:
4/3(6y+21)-17-(43)=0
Domain of the equation: 3(6y+21)!=0
y∈R
We add all the numbers together, and all the variables
4/3(6y+21)-60=0
You multiply all the terms by the denominator
-60*3(6y+21)+4=0
multiply elements
1) A tv has a sale price of $450 and has a sales tax of 6% Find the total price.
Sales tax:
Total price:
Answer:
Sales tax : $27
Total price : $477
Step-by-step explanation:
Given that:
Sale price of tv = $450
Sales tax = 6%
Amount of sales tax = [tex]\frac{6}{100}*450[/tex]
Amount of sales tax = 0.06 * 450
Amount of sales tax = $27
Total price = Sale price + Sales tax
Total price = 450 + 27 = $477
Hence,
Sales tax : $27
Total price : $477
Find the unknown side length. Write your answer in simplest radical form.
Answer: 1. x= 20 units, 2. x= [tex]5\sqrt{3}[/tex] units 3. x= [tex]4\sqrt{2}[/tex] units.
Step-by-step explanation:
In a right triangle,
[tex]Hypotenuse^2= Perpendicular^2+Base^2[/tex] (Pythagoras theorem)
1. Hypotenuse = x , Base = 16, Perpendicular = 12
[tex]\Rightarrow\ x^2 =12^2+16^2\\\\ \Rightarrow\ x^2=144+256\\\\ \Rightarrow\ x^2=400\\\\ \Rightarrow\ x=\sqrt{400}=20[/tex]
2. Hypotenuse = 14 , Base = 11, Perpendicular = x
[tex]\Rightarrow\ 14^2=x^2+11^2\\\\\Rightarrow\ 196=x^2+121\\\\\Rightarrow\ x^2=196-121\\\\\Rightarrow\ x^2 = 75\\\\\Rightarrow\ x=\sqrt{75}=\sqrt{25\times3}=5\sqrt{3}[/tex]
3. Hypotenuse = 9 , Base = x, Perpendicular =7
[tex]\Rightarrow\ 9^2=x^2+7^2\\\\\Rightarrow\ 81= x^2+49\\\\\Rightarrow\ x^2=81-49\\\\\Rightarrow\ x^2=32\\\\\Rightarrow\ x=\sqrt{32}=\sqrt{16\times2}\\\\\Rightarrow\ x=4\sqrt{2}[/tex]