Answer:
192cm²
Step-by-step explanation:
The diagonal of the rectangle is expressed using the formula:
d = √l²+w²
l is the length
w is the width
Given d = 20
20 = √l²+w²
400 = l²+w² .... 1
Since the difference between the length and the width is 4cm, then;
l - w = 4 ... 2
l = 4 + w
Substitute equation 2 into 1;
400 = (4+w)²+w²
400 = 16 +8w + w² +w²
400 = 16 + 8w + 2w²
2w²+8w - 384 = 0
w²+4w - 192 = 0
w = -4±√4²-4(-192)/2
w = -4±√16+768/2
w = -4±28/2
w = -4+28/2
w = 24/2
w = 12
Since l = w+4
l = 12+4
l = 16
Area of the rectangle = 16 * 12
Area of the rectangle = 192cm²
Answer:
rytytyf
Step-by-step explanation:
yiyiuyiuy
x + 7 < 15
I need to know what this answer is and quick
Answer:
x<8
Step-by-step explanation:
x+7<15
x<15-7
x<8
[tex]hope \: it \: helps[/tex]
What is chipset what role its play:}
Answer:
a chipset is a system of electrical components which are needed to work for microprocessors.the chipset is to do with the the components on the motherboard
Step-by-step explanation:
pls mark me as brainliest!!<3
ʟɪᴠɪɴɢ ᴏɴ ᴛʜᴇ ᴍᴏᴛʜᴇʀʙᴏᴀʀᴅ, ᴀ ᴘᴄ's ᴄʜɪᴘsᴇᴛ ᴄᴏɴᴛʀᴏʟs ᴛʜᴇ ᴄᴏᴍᴍᴜɴɪᴄᴀᴛɪᴏɴ ʙᴇᴛᴡᴇᴇɴ ᴛʜᴇ ᴄᴘᴜ, ʀᴀᴍ, sᴛᴏʀᴀɢᴇ ᴀɴᴅ ᴏᴛʜᴇʀ ᴘᴇʀɪᴘʜᴇʀᴀʟs. ᴛʜᴇ ᴄʜɪᴘsᴇᴛ ᴅᴇᴛᴇʀᴍɪɴᴇs ʜᴏᴡ ᴍᴀɴʏ ʜɪɢʜ-sᴘᴇᴇᴅ ᴄᴏᴍᴘᴏɴᴇɴᴛs ᴏʀ ᴜsʙ ᴅᴇᴠɪᴄᴇs ʏᴏᴜʀ ʙᴇsᴛ ᴍᴏᴛʜᴇʀʙᴏᴀʀᴅ ᴄᴀɴ sᴜᴘᴘᴏʀᴛ
Find the slope and y intercept for the equation.
y = -6.75x + 8.54
Answer:
the y intercept is 8.54 and the slope would be 0
Step-by-step explanation:
use to do these
transforming quadratic graphs
Answer:
f(x) = 3(x - 2)² + 4
OR
f(x) = 3x² - 12x + 16
Step-by-step explanation:
Vertex form of a parabola:
y = a(x - h)² + kStandard form of a parabola:
y = ax² + bx + cLet's find the vertex of this parabola.
(h, k) → (2, 4)In order to find the a-value (vertex form), let's use another point besides the vertex on the parabola.
Using (3, 7) for (x, y), let's substitute this point and the vertex (2, 4) for (h, k) into the vertex form equation and solve for a.
7 = a[(3) - (2)]² + 4Simplify using PEMDAS.
7 = a(1)² + 47 = a + 4Subtract 4 from both sides.
a = 3Now we have (h, k) and a of the vertex form.
y = a(x - h)² + k → y = 3(x - 2)² + 4In order to convert from vertex to standard form, simplify the equation by FOILing.
y = 3(x - 2)² + 4y = 3(x² - 4x + 4) + 4Distribute 3 inside the parentheses.
y = 3x² - 12x + 12 + 4Combine like terms.
y = 3x² - 12x + 16Therefore, we have the answer:
Vertex form:
f(x) = 3(x - 2)² + 4Standard form:
f(x) = 3x² - 12x + 16anyone know how to do this? will give brainlest! if you cant help, have a great day!!!
m∠1=(3x+8)°, m∠2=(3x+18)°, and m∠3=(7x+9)°. What is m∠3?
Answer:
87.4°
Step-by-step explanation:
(3x + 8) + (3x + 18) + (7x + 9) = 180
3x + 8 + 3x + 18 + 7x + 9 = 180
add the common numbers
13x + 35 = 180
subtract 35
13x = 145
divide 13
x = 11.2
then plug it back in to m<3
7(11.2) + 9
78.4 + 9
= 87.4°
Fred has 45 books. Sally has 27 times more books than Fred. How many books does Sally have?
Answer:
fred = 45 books
sally has 27 times more book than fred
sally = 45 X 27
= 1215 books
The distance from C to D is 24 miles. The distance from B to C is 2/3 of the distance from C to D. The distance from A to B is 3/8 of the distance from B to C. What is the distance from A to B?
Answer:
AB is 6 miles
Step-by-step explanation:
Here, we want to get AB
From the question;
CD = 24
BC = 2/3 * 24 = 16
AB = 3/8 * BC
AB = 3/8 * 16
AB = 6 miles
What is the final price of an item that cost $38 with 90% mark-up
Answer:
$342.00
Step-by-step explanation:
38 x 90 = 3420
Answer:
72.2
Step-by-step explanation:
38 * 190%
Please help if possible!
Match the angle relationship with each given angle pair.
Answer:
???
Step-by-step explanation:
can someone PLEASE help on any of these i’m so confused
Which description best Fitz the graph?
PLS HELP ME NEED THIS ASAP
Answer: always decreasing
Step-by-step explanation:
Since it goes down without going back up it is always decreasing
Find the area of this parallelogram.
Answer:
The area is 260 sqaure units.
Step-by-step explanation:
Finding the area of a parallelogram is like finding the area of a rectangle. The base times the height equals the area. As a result, you would multiply 20 by 13 to get 260.
Which value of x satisfies the equation } (x – 3) = -12
-8
7
- 7
8
Answer:
x = -8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
(x - 3) = -12
Step 2: Solve for x
Add 3 to both sides: x = -8Which weighs more: a watermelon that weighs 7.5 kilograms or a baby that weighs 12 pounds?
Answer:
The watermelon
Step-by-step explanation:
12 pounds would be around 5.450 kilograms
O salário de um artista é calculado através da função y = 2000 + 500x onde Y representa o valor total em Reais recebido em um mês de trabalho e "x" o número de shows realizados no mês. Qual foi o salário desse artista no mês em que realizou 12 shows?
Answer:
The artist's salary in the month is 8000.
Step-by-step explanation:
The salary of an artist is given by the function :
y = 2000 + 500x ....(1)
where Y represents the total amount in Reais received in a month of work and "x" the number of shows performed in the month.
We need to find the artist's salary in the month she performed 12 shows.
Put x = 12 in equation (1)
y = 2000 + 500(12)
= 2000 + 6000
= 8000
Hence, the artist's salary in the month is 8000.
which one is greater 20 ounces or 20 grams
Answer:
20 ounces
Step-by-step explanation:
Answer:
20 ounces
Step-by-step explanation:
20 grams in ounces is 0.7055
and 20 ounces in grams is 566.99
What is the circumference and radius of a circle with a diameter of eight and a half inches?
Answer:
the radius 4.25
Step-by-step explanation:
hereeee lol& thanks again<3!
Answer:
-1/2 is the slope. This means that the graph moves down one unit, and right 2 units (over and over again)
-1 is the y-intercept. This is where the line hits the y-axis
start by plotting the y-intercept (0,-1)
then move down one unit, and right two units, and plot another point.
this is the line y=-1/2x-1
Step-by-step explanation:
Step-by-step explanation:
hope it helps
............
What is the radius of the circle?
Answer: The circumference of a circle is equal to Pi π times the diameter d . Since the diameter d is equal to 2 times the radius r , the formula for circumference using radius is 2πr 2 π r .
Step-by-step explanation:
Answer:
radius=area÷2
radius=9÷2
radius=4.5
Please helpppp I want to go to sleep xD (There's a screenshot)
Answer:
Step-by-step explanation:
2n-8 :) zzzzzzzzzzzzzzzzzzzzz :P
Answer:
2n - 8
Step-by-step explanation:
Combine like terms in the parenthesis 2(1n - 4)
The distribute (multiple both of the terms inside by 2)
It gives 2n - 8
A
,
B
and
C
are points on a circle with
A
C
as a diameter.
A
B
C
is a right-angled triangle.
Work out the total area of the regions shaded in the diagram.
Give your answer correct to 1 decimal place.
Answer:
Area of the shaded portion = 54.5 cm²
Step-by-step explanation:
Solve first for the area of the circle:
[tex]area \: of \: circle = \pi {r}^{2} \\ = \pi( \frac{d}{2} )^{2} \\ = \pi( \frac{10}{2} )^{2} \\ = 25\pi \: or \: 78.5398 {cm}^{2} [/tex]
Then, compute for the area of the triangle:
[tex]area \: of \: triangle = \frac{1}{2} \times base \times height \\ = \frac{1}{2} ( {8})(6) \\ = 24 {cm}^{2} [/tex]
Since we only needed the shaded portion, we have to subtract the area of the triangle from the area of the circle
[tex]25\pi {cm}^{2} - 24 {cm}^{2} = 54.5398 {cm}^{2} [/tex]
I’ll give u brainilest just help
Answer:
11 44 0.250
18 48 0.375
11 40 0.275
about number 3 i have no idea
Step-by-step explanation:
prove me wrong
I need help with this
Please help, due today
Answer:
See below.
Step-by-step explanation:
The domain refers to the x values used in the equation/graph. The line appears to go from -10 to 10 on the x-axis. The dots above -10 and 10 are not shaded in meaning those x values do not count towards the domain meaning we will use parenthesis instead of brackets for interval notation or no equal to signs in inequality notation.
Interval Notation: (-10, 10)
Inequality Notation: -10 < x < 10
If the sequence, 1,3,5,7,9,..... Is called A(n), where n is the nth term. What term is A(3)?
Answer:
Third term (5)
Step-by-step explanation:
A(3) is the third term which is 5.
Answer: Tn=2n−1.
Step-by-step explanation:
2+0+3+4+9+6 ?? please
Hey there!
The answer is 24
2+0
2
2+3
5
5+4
9
9+9
18
18+6
24
Have a good day!
P.S. UMMMMMMMMM
Question Progress
Simplify fully
a) 8c^4d^5÷2c3^d^3
b)9a3b5/3ab2
Answer:
A.) 4cd^2
B.) 3a^2b^3
Step-by-step explanation:
simplify by following the rules to adding exponents
solve for x it is a parallelogram please help
Answer:
UW = EW+UE=2×EW because, EW=UE
7x-2=2×6= 12
7x=14
x=14/7
x=2
2 is the right answer.HELP ILL MARK YOU BRAINLIST write in y=mx+b form HELP ILL MARK YOU BRAINLIST write in y=mx+b form
Answer:
im pretty sure it is.
y=-1/4x +3
Good luck!
Answer:
y = -1x/4 + 3
Step-by-step explanation:
m = slope
b = y intercept