Step-by-step explanation:
Given that,
The area of a rectangle, A = 35 cm²
Let x is the length.
Width, Y = 12-x
We know that,
The area of a rectangle is given by :
[tex]A=lb[/tex]
[tex]x(12-x)=35\\\\12x-x^2=35\\\\-x^2+12x-35=0\\\\or\\\\x^2-12x+35=0[/tex]
Hence, [tex]x^2-12x+35=0[/tex].
i need help
measure of each labeled angle
Answer:
[tex]\sf m\angle A = 3x - 20^o = \bf 100^o [/tex]
[tex]\sf m\angle B = 2x = \bf 80^o [/tex]
[tex]\sf m\angle C = 2x - 15^o = \bf 65^o [/tex]
Step-by-step explanation:
A figure is given to us , in which two lines are parallel to each other. There are two transversals to the || lines . We know that the measure of a straight line is 180° . Therefore ,
[tex]\sf\longrightarrow \angle A +\angle B = 180^o [/tex]
Substitute the given values ,
[tex]\sf\longrightarrow 3x - 20^o + 2x = 180^o [/tex]
Simplify the RHS by adding the variables ,
[tex]\sf\longrightarrow 5x - 20^o = 180^o [/tex]
Add 20° to both sides ,
[tex]\sf\longrightarrow 5x = 180^o + 20^o [/tex]
Add the numbers in RHS ,
[tex]\sf\longrightarrow 5x = 200^o [/tex]
Divide both sides by 5 ,
[tex]\sf\longrightarrow \boxed{\blue{\sf x = 40^o}}[/tex]
Therefore ,
[tex]\sf m\angle A = 3x - 20^o = \bf 100^o [/tex] [tex]\sf m\angle B = 2x = \bf 80^o [/tex] [tex]\sf m\angle C = 2x - 15^o = \bf 65^o [/tex]At the beginning of 2009 Marilyn invested $5000 in a savings account account pays 4% interest per year at the end of the year at the interest is paid how much does Marilyn have in the account?
Answer:
$5200
Step-by-step explanation:
Given :
Amount invested, Principal, P = $5000
Interest rate, r = 4% = 4/100 = 0.04
Amount in account at the end of the year, A
period, t = 1 year
Using the relation :
A = P(1 + rt)
A = $5000(1 + 0.04*1)
A = $5000(1 + 0.04)
A = $5000 * 1.04
Amount in account at year end = $5200
HELP QUICK!!!! JFKWOFKWKOFKECKEOVKEMKFMEKGONGKSIFNDKDKSKEKNFSW
Answer:
your correct
Step-by-step explanation:
Answer:
I think the one you have answered is correct.
The perimeter of a square is 20 ft. If you increase the length square by 2 feet and decrease the width by 1 foot, what is tb area, in square feet, of the new figure
Answer:
Tue area of the new figure is 28ft
Step-by-step explanation:
Each side 20/4=5
The length 5+2=7
The width 5-1=4
The area 7x4=28
Find the volume. Leave answer in exact form (in terms of π)
Answer:
704π
Step-by-step explanation:
V = π×r²×h
= π×8²×11
= 704π yd³
3 hours after starting a trip, a driver increased his speed by 10 mph and arrived at his destination 11 hours after starting his journey. If the distance traveled was 894 miles, find the original speed of the driver.
Answer:
74 mph
Step-by-step explanation:
The driver started driving at s mph.
After 3 hours, the speed became s + 10 mph.
The total time is 11 hours, so 3 hours were driven at s mph and 8 hours were driven at s + 10 mph.
speed = distance/time
distance = speed * time
distance = (distance driven at speed s) + (distance driven at speed s + 10)
894 = s * 3 + (s + 10) * 8
3s + 8s + 80 = 894
11s + 80 = 894
11s = 814
s = 74
Answer: 74 mph
Classify the following triangle. Check all that apply.
Can someone help me with this math homework please!
Answer:
Last answer.
Step-by-step explanation:
What I do is divide the terms by the previous terms, and if they all equal 1.5, that is your answer.
Find the surface area and volume for each of the following:
Answer:
mark brainlist..............
SOMEONE PLEASE HELP ME!
The equation of line a is y=-x+ 3. If line b runs perpendicular to line a and
passes through (2, 6), what would be the equation of line b?
Answer:
y = 4x -2
Step-by-step explanation:
y = 4x + b
6 = 4(2) + b
6 = 8 + b
-2 = b
Does anyone know the answer to this math question?
Answer:
sorry i don,t know but i am finding
if i get then i hep you
Step-by-step explanation:
thanks and have nice day
if x = 2 is a solution to the system shown below, then what must be value of b?
y = 7x + 4
y = 3x + b
——————————————-
(1) 5
(2) -4
(3) -17
(4) 12
thank you in advance for anyone that helps answer this :))
Answer:
(4). 12
Step-by-step explanation:
On each coordinate plane, the parent function f(x) = |x| is represented by a dashed line and a translation is represented by a solid line. Which graph represents the translation g(x) = |x + 2| as a solid line?
1) 3rd graph
2) 2nd graph
3) B (-♾,0)
4) 1st graph
5) C (-5,-6)
6) D (10,♾)
7) B) h= -1.5
8) C the range changes from {y|y>0} to {y|y>2}
9) D h must be negative and k must be positive
10) A k= -2.5
Answer:
c
Step-by-step explanation:
it just is
Ricardo llega cada mañana a su trbajo con 5 minutos de retraso. Cúanto dinero le descuentan al cabo de 30 dIas si por cada hora tiene una multa de s/2,80
Respuesta:
7
Explicación paso a paso:
Dado :
Último minuto por día = 5 minutos
Número de retrasos = 3 días
Número total de minutos tarde = (30 * 5) = 150 minutos
Cargo por multa por pago tardío por hora = 2,80
Total de horas tardías = 150 minutos / 60 = 2,5 horas
Cargo total por multa por mora = 2.80 * 2.5
Cargo total por multa por mora = 7
Please help me!! I don’t underatsnd
Answer:
23°
Step-by-step explanation:
13x + 154 = 180
13x = 26
x =2
~~~~~~~~~~~~
6(2) + 11
12+11 =23
Which choice is equivalent to the quotient below square root 32/ square root 8
Answer:
there no choice but what i can do for you is [tex]\sqrt{32} =4\sqrt{2}[/tex] & [tex]\sqrt{8} =2^3[/tex]
The equivalent fraction of [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex] is 2/1.
What is the square root of any number?
The square root of any number is equal to a number, which when squared gives the original number.
What is an equivalent expression?Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value.
According to the given question.
We have a fraction [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex]
Therefore, the equivalent fraction for [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex] is given by
[tex]\frac{\sqrt{32} }{\sqrt{8} } =\frac{\sqrt{4} \sqrt{8} }{\sqrt{8} }[/tex]
⇒[tex]\frac{\sqrt{32} }{\sqrt{8} } =\sqrt{4} =\frac{2}{1}[/tex]
Hence, the equivalent fraction of [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex] is 2/1.
Learn more about equivalent fraction here:
https://brainly.com/question/17912
#SPJ2
Amanda has six more than four times the number of crayons that Clyde has. (write the equation)
Answer:
y = 4x + 6Step-by-step explanation:
Clyde has x crayons.
Amanda has y crayons.
The equation:
y = 4x + 6Find the diagonal of a rectangular frame which measures 77 in. by 36 in.
Answer:
85
Step-by-step explanation:
think about the diagonal of the frame, breaking up a rectangle into 2 right angled triangles. we are already given the legs of the triangle (77, and 36) and now we have to solve fro the hypotenuse (or the diagonal). so use pythagorean theorem :
77^2 + 36^2 = c^2
7225 = c^2
c = 85
What does it mean in geometry when they are putting segments over each other to show proportionality? In some video about triangle proportionality theorem, he says "BA to the length of MA " then draws BA over MA like a fraction. What does he mean "to the length of"
Answer:
Read below.
Step-by-step explanation:
The expression "BA to the length of MA" is probably part of the expression "the length of BA to the length of MA" and is a ratio.
A proportion is setting two ratios equal.
If two triangles are similar, then the lengths of corresponding sides are proportional. That means that the ratios of the lengths of corresponding sides are equal.
For example, let's say you are given triangles ABC and XYZ, and you are told that triangle ABC is similar to triangle XYZ.
By the order of the letters in ABC and XYZ, you can conclude that
side AB corresponds to side XY
side AC corresponds to side XZ
side BC corresponds to side YZ
Since the lengths of corresponding sides are in the same ratio, so you can further conclude that
the length of AB is to the length of XY as
the length of AC is to the length of XZ as
the length of BC is to the length of YZ
Mathematically, you can write the previous three lines as the proportion
AB/XY = AC/XZ = BC/YZ
The length and width of a rectangle are in a 3 : 5 ratio. The perimeter of the
rectangle is 64. What are the length and width of the rectangle?
Answer:
Step-by-step explanation:
Rectangle:
Length : Width = 3 : 5
Length = 3x
Width = 5x
Perimeter = 64
2*(length + width) = 64
2*(3x + 5x) = 64 {Add like terms}
2 * 8x = 64
16x = 64 {Divide both sides by 16}
x = 64/16
x = 4
Length = 3*4 = 12 units
Width = 5*4 = 20 units
Answer:
Step-by-step explanation:
solution;
here
let us suppose the ratios of length and width of rectangle be 3x and 5x
if the perimeter of rectangle is 64
we know that,
perimeter of rectangle=2 (l + w)
or, 64=2(3x +5x)
or, 64=2(8x)
or, 64=16x
or, x=4
therefore length=3x
3*4=12
width=5x
5*4=20
I know you have to use the half life formula but I don’t know how to use it could someone show how to find the solution step by step? Thank you
Answer:
[tex]A = Pe ^{-0.03108 * t}[/tex]
Step-by-step explanation:
Note: these are typically two part questions...
you have the model and have to FIRST find a constant value "k"
once you have the "k" value you plug that into the model to finish the problem
[tex]A = Pe ^{-kt}[/tex] is a typical version of the continuous decay...
e is "e 2.717" not a variable "e"
so... step 1.. fink k
you are told that the 1/2 life is 22.3 years...
so lets assume that we started with 2 units of lead, and waited for it to decrease to 1 (1 is 1/2 of 2)
you would have
1 = 2[tex]e^{k * 22.3}[/tex]
.5 = [tex]e^{k * 22.3}[/tex]
ln(.5) = 22.3k ln(e)
ln(e) = 1
ln(.5) = 22.3k
ln(.5) = 22.3k ln(e)
[tex]\frac{ln(.5) }{22.3} = k[/tex]
[tex]\frac{\ln \left(0.5\right)}{22.3}=-0.03108[/tex] = k
Giải hệ pt :{ 2x-3y=1
{x+2y=4
x+2y=4 ] × (-2) —> -2x-4y=-8
2x-3y=1
-2x-4y=-8
_________o_o___
–7y=–7 —> y =1
2x-3y=1 —> 2x -3(1)=1 —> 2x-3=1 —> 2x=1+3 —> 2x=4
x=4/2 —> x=2
(x,y) —> ( 2,1)
I hope I helped you ^_^Graph: f(x) = 3/2 (2)x
Step 1: Calculate the initial value of the function.
f(0)=
Answer:
Step 1: 1.5
Step 2: Plot the points (0, 1.5)
Step 3: 3, then 0.75
Step 4: Plot the points (1, 3) and (-1, 0.75)
Step 5: y=0
Step-by-step explanation:
Ur welcome and have a nice day :>
The initial value of the function f(x) = 3/2 (2)^x is 3/2
How to calculate the initial value of the function?The function expression is given s:
f(x) = 3/2 (2)^x
Substitute 0 for x
f(0) = 3/2 (2)^0
Evaluate the exponent
f(0) = 3/2 * 1
Evaluate the product
f(0) = 3/2
Hence, the initial value of the function is 3/2
Read more about exponential functions at:
https://brainly.com/question/11464095
You are playing the Integer Game. The goal of the game is for the sum of the cards in your hand to be as close to zero as possible. Here are the cards in your hand,
4
-8
-3
2
What is the current value of your hand?
How many positive integers less than 100 are divisible by 7 but not divisible by 2, 3, 4, or 5?
Answer: 4 positive integers
Step-by-step explanation:
Positive integers less than 100 that are divisible by 7:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98.
Let's write out numbers that are not divisible by 2 or 4:
7, 21, 35, 49, 63, 77, 91.
Now let's write out numbers that are not divisible by 3:
7, 35, 49, 77, 91.
Finally, let's write out the numbers that are not divisible by 5:
7, 49, 77, 91.
Thus, there are only 4 positive integers less than 100 that are divisible by 7, but not divisible by 2, 3, 4, or 5.
A state park charges an entrance fee based on the number of people in a vehicle. A car containing 2 people is charged $14, a car containing 4 people is charged $20, and a van containing 8 people is charged $32.
Answer:
Bus charges for 30 people = $98
Step-by-step explanation:
Given:
Car A charges for 2 people = $14
Car B charges for 4 people = $20
Van charges for 8 people = $32
Find:
Bus charges for 30 people
Computation:
Assume;
Fix charge = b
Variable charges = a
So,
2a + b = 14.................................. Eq 1
4a + b = 20 ..............................Eq2
From Eq 1 and 2
a = 3
Variable charges = $3
Fix charge = 8
So,
Bus charges for 30 people = 30a + b
Bus charges for 30 people = 30(3) + 8
Bus charges for 30 people = $98
Sphere A has a radius of 24 centimeters, and sphere Bhas a diameter of 42 centimeters. The radius of sphere A is
muided by what factor to produce the radius of sphere B2
Answer:
A's radius is half so multiply it by 2 to get the diameter which is the same as B's.
Step-by-step explanation:
HELP !!!!
what is the area of this figure
Answer:
1049760
Step-by-step explanation:
Just multiple
This is the answer to this question
Answer:
1,049,760
Step-by-step explanation:
9 x 3 = 27
27 x 8 x 3 = 648
648 x 15 x 3 = 29,160
29,160 x 6 x 6 = 1,049,760
Therefore the answer is 1,049,760.
If eleven plus two equal one what does nine plus five equal?
Answer:
huh???
Step-by-step explanation:
how does that make sence
