Answer:
200cm^2
Step-by-step explanation:
When we need to find length of a rectangle we need to divide area by breadth.
Length of a rectangle = Area ÷ breadth.
ℓ = A ÷ b.
Similarly, when we need to find breadth of a rectangle we need to divide area by length.
Breadth of a rectangle = Area ÷ length.
Suppose 60% of the graduating class in a certain high school goes on to college. If 144 students from this graduation class are going on to college, how many students are from this graduating
class
Answer:
I'm assuming the answer is 400, I'm not quite sure
Alguien me dice si ya está correcto el trabajo?
Answer:
el que está debajo del que está marcado con un círculo es correcto
Step-by-step explanation:
What is the value of the digit in the number based on the location of the digit
Answer:
Do u have a photo??
Step-by-step explanation:
cuzz I do not know
(3a - b)(a + b) - (3a - b)²
What is the place value in the 9 in the decimal 409.5
Answer:
The 9 is in the ones place.
:)
Can someone help me?
Answer:
-5.25
Step-by-step explanation:
There are 4 tick marks between every next integer, so you know that they are counting at a value of 0.25 per tick mark. D is at negative 5 plus negative 0.25, with D's position being at -5.25
Given the equation px^2 + 8x + 8 = 0 has equal roots find the value
of p.
[tex]\\ \sf\longmapsto px^2+8x+8=0[/tex]
Equal roots means Discriminate=0
[tex]\\ \sf\longmapsto D=0[/tex]
[tex]\\ \sf\longmapsto b^2-4ac=0[/tex]
[tex]\\ \sf\longmapsto 8^2-4(8)(p)=0[/tex]
[tex]\\ \sf\longmapsto 64-32p=0[/tex]
[tex]\\ \sf\longmapsto 32p=64[/tex]
[tex]\\ \sf\longmapsto p=2[/tex]
Answer:
p = 2Step-by-step explanation:
Since the roots are equal, the given equation should be a perfect square:
px² + 8x + 8 = 0Let p = 2q, since with odd value of p we can't get a perfect square:
2qx² + 8x + 8 = 0, divide all terms by 2qx² + 4x + 4 = 0The value of q should be 1 to make it a perfect square:
x² + 4x + 4 = 0(x + 2)² = 0Since q = 1, the value of p is:
p = 2q = 2*1 = 2I need help rn I am going to fail
Answer:
slope is 0
Step-by-step explanation:
Slope formula: m= y2-y1/x2-x1
in (0,-1) (-3-1)
0 is x1
-1 is y1
-3 is x2
-1 is y2
-1-(-1) is 0
-3-0=-3
0/-3 is 0
Thus the slope is 0
Hope this helps!
Original Amount: 2008
New Amount: 1975
a^6 + b^6 ≤ 12 a^2 b^2 - 64
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that
[tex]\rm \longmapsto\:a > 0 \: \: and \: \: b > 0[/tex]
and
[tex]\rm \longmapsto\: {a}^{6} + {b}^{6} \leqslant 12 {a}^{2} {b}^{2} - 64[/tex]
can be rewritten as
[tex]\rm \longmapsto\: {a}^{6} + {b}^{6} + 64 - 12 {a}^{2} {b}^{2} \leqslant 0[/tex]
[tex]\rm \longmapsto\: {( {a}^{2}) }^{3} + {( {b}^{2} )}^{3} + {(4)}^{3} - 3( {a}^{2})( {b}^{2})(4) \leqslant 0[/tex]
We know
[tex]\mathfrak{ {x}^{3}+{y}^{3}+{z}^{3}-3xyz =(x + y + z)( {x}^{2}+{y}^{2}+{z}^{2}-xy-yz - zx}[/tex]
So, using this identity, we get
[tex] \rm( {a}^{2}+{b}^{2} + 4)( {a}^{4} + {b}^{4} + 16 - {a}^{2} {b}^{2} - 4 {b}^{2} - 4 {a}^{2}) \leqslant 0[/tex]
Let we consider,
[tex]\bf{ \longmapsto\:{a}^{4} + {b}^{4} + 16 - {a}^{2} {b}^{2} - 4 {b}^{2} - 4 {a}^{2}}[/tex]
can be rewritten as
[tex]\bf{ \: = \dfrac{1}{2}\bigg[2{a}^{4} + 2{b}^{4} + 32 - 2{a}^{2} {b}^{2} - 8 {b}^{2} - 8{a}^{2}\bigg]}[/tex]
[tex]\bf{ = \dfrac{1}{2}\bigg[{a}^{4} + {a}^{4} + {b}^{4} + {b}^{4} + 16 + 16 - 2{a}^{2} {b}^{2} - 8 {b}^{2} - 8{a}^{2}\bigg]}[/tex]
can be re-arranged as
[tex]\bf{ \: = \dfrac{1}{2}\bigg[({a}^{4} + {b}^{4} - 2{a}^{2} {b}^{2})+({b}^{4} + 16- 8 {b}^{2}) + (16 + {a}^{4} - 8{a}^{2})\bigg]}[/tex]
[tex]\bf{ \: = \dfrac{1}{2}\bigg[( {a}^{2} - {b}^{2})^{2} + {( {b}^{2} - 4) }^{2} + {( {a}^{2} - 4)}^{2} \bigg]}[/tex]
As sum of squares can never be negative.
[tex]\bf {⇛\:{a}^{4} + {b}^{4} + 16 - {a}^{2} {b}^{2} - 4 {b}^{2} - 4 {a}^{2} \geqslant 0}[/tex]
[ Equality of zero holds when a = b = 2 ]
And if a and b are distinct, then
[tex]\bf{⇛\:{a}^{4} + {b}^{4} + 16 - {a}^{2} {b}^{2} - 4 {b}^{2} - 4 {a}^{2} > 0}[/tex]
and
[tex]\bf{( {a}^{2}+{b}^{2} + 4)( {a}^{4} + {b}^{4} + 16 - {a}^{2} {b}^{2} - 4 {b}^{2} - 4 {a}^{2}) > 0}[/tex]
So,
[tex] \bf{( {a}^{2}+{b}^{2} + 4)( {a}^{4} + {b}^{4} + 16 - {a}^{2} {b}^{2} - 4 {b}^{2} - 4 {a}^{2}) \geqslant 0}[/tex]
So, for the given statement,
[tex]\rm \longmapsto\: {a}^{6} + {b}^{6} \geqslant 12 {a}^{2} {b}^{2} - 64[/tex]
So, we concluded that
If a = b = 2, then
[tex]\rm \longmapsto\: {a}^{6} + {b}^{6} = 12 {a}^{2} {b}^{2} - 64[/tex]
And
If a and b are distinct, then
[tex]\rm \longmapsto\: {a}^{6} + {b}^{6} > 12 {a}^{2} {b}^{2} - 64[/tex]
So, given statement is partially true for a = b = 2 otherwise false.
Jamie drives her car 42 miles using 2 gallons of gas how many miles per gallon does her car get
21 miles per gallon
Step-by-step explanation:
42 ÷ 2 = 21
The length of a pool table is 71 feet and the width is 36 feet. Find the area of the surface of the pool table by multiplying the length by the with
(20 points)
Answer:
2556 feet squared
Step-by-step explanation:
Area is calculated by multiplying length times width. 71x36=2556
Please, if you can answer this, answer my other similar ones as well. I appreciate any help so much!
Answer:
C. Definition of Supplementary Angles
Step-by-step explanation:
You know this because they are opposites
I hope I could help!!!
Value of x in this solution
Answer:
Y = 6
Step-by-step explanation:
Answer choices
A: 112
B: 34
C: 68
D: 73
Answer:
Step-by-step explanation:
This is an isosceles triangle, since XY and ZY are the same length. That means by the Isosceles Triangle Theorem, angle X and angle Z are congruent. Since the measures of a triangle by the Triangle Angle-Sum Theorem have to add up to equal 180 degrees, then angle Y, the vertex angle, measures
180 - 34 - 34 which is 112, choice A.
the answer is A. 112 hope this helps
Help help help math please pelsss
Answer:
a is 2-1= 1 b is 1-2=1 c is 1 its simple "liahthegoddest'
What’s the answer ?
2003 4/11
+
59
=
Answer:
2062 4/11
Step-by-step explanation:
Okay so assuming 2003 4/11 is a mixed number, we just add:
2003 4/11 + 59 = 2062 4/11
Hope this helps:)
It takes Ms. Brown 5/12 hours to hike 11 miles. At this rate, how long will it take her to hike the remaining 7 miles to her camp site?
Answer:
It will take 4 hours and 20 minutes to hike the rest of the 7 miles
Step-by-step explanation:
what is the simplest form of
-1/4 + 3/8
---------------
5/8
for 20 pts
Answer:
the fraction in simplest form is [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Hope this helps!
Answer:
you may not find this helpful,
Step-by-step explanation:
0.125 is the answer
Jackson's mom limits the amount of time he is allowed to play video games. After
Jackson plays for 9 minutes, his mom tells him that he has used up 15% of his time. How
many more minutes can Jackson play before he uses all of his time?
Answer:his mom sounds like a push over
Step-by-step explanation: she’s limiting his video games dude
Write the following times in words. 8:10am
Answer:
Step-by-step explanation:
eight ten a.m.
A TV has an original price of $549. Enter the new price after the given percent of change.
20% decrease
The new price is $
.
Answer:
439.20
Step-by-step explanation:
to find 549 deceased by 20% percent you need to find what's 20% percent of 549 is.
- Which product is greater, (-4) • (-6) or
(-7).(-8)? Explain
Answer:
(-7)*(-8)
Step-by-step explanation:
Two negatives make a postive so 7*8=56 and 4*6=24.
Daniel has a 3/4 pound bag of dog
treats. He will give his dog 1/8 of the treats after they play each day. How many days will the bag last?
Answer: 6 days
Step-by-step explanation:
if you make them into common denominators, it would be 6/8, so it would last 6 days
Answer:
6 days.
Step-by-step explanation:
First, make each fraction have a like denominator
3/4 × 2/2 = 6/8
Then, subtract the 1/8 for each day
6/8 - 1/8 = 5/8
You can either write this out can count how many times you do this, or since were subtracting 1/8 every time, and we have 6/8, you can see that there is enough food to feed the dog for 6 days.
7+2^2⋅6+2^3−6
wat dis using pedmas plz :(
Answer:
9^-4 + 2^-3
Step-by-step explanation:
It can't be broken down anymore under the law of indices.
ANSWER
this answer is 33 pls picke me brainliest
For the given triangle let a = 14.3, b = 16.4, c = 11.7, d = 19.0. Find the perimeter of the triangle.
Answer:
49.7
Step-by-step explanation:
you just add them. thats perimeter
Help help help help help help
Answer:
where is the questions I don't know
[tex]70 \times 20[/tex]
I need help please
[tex] \sf \: 70 \times 20[/tex]
[tex]\sf \longmapsto1400[/tex]
OR the question can also be written as
[tex] \sf \: 70 (20)[/tex]
[tex]\sf \longmapsto1400[/tex]
12 out of 15 soccer players attended practice. What percentage of soccer players attended practice?
Answer:
1.25
Step-by-step explanation:
Answer:
12/15 > 4/5 equals 80%
Step-by-step explanation:
The initial population of a town 2700, and it grows with a doubling time 10 years . What will the population be in 8 years
Answer:
There were 2160 people in 8 years.
Step-by-step explanation:
find unit rate
10/2700 = 270 people per year
270 x 8 = 2160
