Answer:
Step-by-step explanation:
let width=x
length=x+7
x(x+7)=30
x²+7x-30=0
x²+10x-3x-30=0
x(x+10)-3(x+10)=0
(x+10)(x-3)=0
either x=-10 (rejected being negative)
or x=3
width=3 cm
length=3+7=10 cm
Perimeter=2(10+3)=2×13=26 cm
You and your friends are at the local ice cream shop. You get a cone that has a diameter of 12 cm and a height of 12 cm that is full of ice cream, and has a sphere of ice cream on top with the same diameter. What is the total volume of your ice cream cone? Show your work in terms of π.
Answer:
the answer is 24 centimeters
PLS HELP ME I WILL GIVE BRAINLIEST TO THE BEST ANSWER
Answer:
Step-by-step explanation:
S= 180 - ( 62 + 90)
=180-152
=80
So S = 80
Answer:
28°
Step-by-step explanation:
none needed
(i) Factorise the expression x^3 + 3x - x^2 - 3 completely.
(ii) Hence, express (x^2 – 3)^3 - (2 - x^2)^2 + 3(x^2- 3) in the form (x^4+Ax^2+B)(x^2+ C), where A, B and C are integers.
Step-by-step explanation:
Answer 1 put all like terms then solve
hope it helps....
a) The value of the equation is A = ( x - 1 ) ( x² + 3 )
b) The value of the equation is B = ( x⁴ - 6x² + 10 ) ( x² - 4 )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
a)
The equation is A = x³ + 3x - x² - 3
On simplifying the equation , we get
A = x³ - x² + 3x - 3
A = x² ( x - 1 ) + 3 ( x - 1 )
On factorizing the equation , we get
A = ( x² + 3 ) ( x - 1 )
b)
The equation is B = ( x² - 3 )³ - ( 2 - x² )² + 3 ( x² - 3 )
On simplifying the equation , we get
B = ( x² - 3 )³ - ( x⁴ - 2x² - 2x² + 4 ) + 3 ( x² - 3 )
On further simplification , we get
B = ( x² - 3 )³ - x⁴ + 4x² - 4 + 3x² - 9
B = ( x² - 3 )³ - x⁴ + 7x² - 13
On factorizing the equation , we get
B = ( x - 2 ) ( x⁵ + 2x⁴ - 6x³ - 12x² + 10x + 20 )
B = ( x - 2 ) ( x + 2 ) ( x⁴ - 6x² + 10 )
And , on further simplification , we get
B = ( x² - 4 ) ( x⁴ - 6x² + 10 )
Hence , the equation is B = ( x² - 4 ) ( x⁴ - 6x² + 10 )
To learn more about equations click :
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The volume of a Toblerone candy bar is 275 cm3. If the candy bar is 11 cm long, what is the area of the base?
Answer:
275 - 11=264
Step-by-step explanation:
Can someone plsss help mee :(
Answer:I think it is 89
Step-by-step explanation:
solve the following
1) 2(x + 3) = x - 4
2) 4(5x-2) = 2(9x+3)
PLS HELP
Answer:
(1) [tex]x = -4[/tex] (2) [tex]x = 7[/tex]
Step-by-step explanation:
From the first equation:
[tex]2(x + 3) = x - 4\\\implies x = 2(x + 3) + 4\\\implies x = 2x + 6 + 4\\\implies x = 2x + 4\\\implies -4 = 2x - x\\\implies x = -4[/tex]
From the second equation,
[tex]4(5x - 2) = 2(9x + 3)\\\implies 20x - 8 = 18x +6\\\implies 20x - 18x - 8 -6 = 0\\\implies 2x -14 = 0\\\implies 2x = 14\\\implies x = \frac{14}{2} = 7[/tex]
If x=5 and y=−2, evaluate the following expression:10+5xy
Answer:
-90
Step-by-step explanation:
10+5×5×(-2)
10+25×(-2)
10+(-100)
10-100
-90
Answer:
- 40
Step-by-step explanation:
Substitute x = 5, y = - 2 into the expression
10 + 5xy
= 10 + 5(5)(- 2)
= 10 - 50
= - 40
Categorical Data is data that is sorted into categories on the basis of qualitative details.
True or False?
Answer:
true
Step-by-step explanation:
"In statistics, a categorical variable is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property." - Wikipedia...
The measure of 3 angles of a triangle are 2x, 3x, and (x +60) what is the value of x?
Answer: angle x= 20 degrees
Step-by-step explanation: sum of angles in triangle is 180 degrees.
You count 2x + 3x +(x+60) = 180
6x=120
Please help thank you
Answer:
A triangle with angles measuring 55°, 60°, 65° degrees
Step-by-step explanation:
Two obtuse angles means two angles over 90°
The sum of all angles in a triangle are 180°
90°+90° itself is 180°, so we cant have two angles greater than 90°
Two right angles means 90° and 90° which is 180°, not possible
55°+60°+65° = 180° so it is possible.
One morning at a zoo, there were 165 adults and children who paid to enter. The zoo collected $1,440 from admission fees. The price of admission is $10 for an adult and $7 for a child. How many children were admitted to the zoo?
Answer:
number of children admitted to the zoo=70
let adult =a
let children=c
a+c=165........equation 1
10a+7c=1440.......equation 2
a=165-c........equation 3
substitute equation 3 in equation 2
10a+7c=1440
10(165-c)+7c=1440
1650-10c+7c=1440
-10c+7c=-210
-3c=-210
c=70
Therefore children =70
Find the perimeter P of the figure shown. Simplify your answer
Answer:
C) 26x + 3
Step-by-step explanation:
Perimeter = 7x + 2 + 5x - 3 + 9x + 7 + 5x - 3
combine like terms:
Perimeter = 26x + 3
pls help guys plsssssssssssssssss
Answer: the first one is 35 the second is -36
Step-by-step explanation: hope this helps
HELP DUE IN 9 MINUTES
Answer:
[tex]x = 18^o[/tex]
Step-by-step explanation:
The vertically opposite angle [tex]2x[/tex] must be equal to the original 36 degrees.
So,
[tex]2x = 36^o\\\implies x = \frac{36^o}{2}\\\implies x = 18^o[/tex]
Can anyone plz answer this question, i will give brainliest
Answer:
C.6
Step-by-step explanation:
Remember, a constant term is a term that keeps repeating. Also, it's the only term that doesn't contain a variable. In this equation, 6 is the constant.
Hope I helped!!!
Can someone plz help me with this one problem plzzzzz!!!!
Answer:
No.
Step-by-step explanation:
In order for this equation to be true, either the 8 would have to be negative or the 11.
An arithmetic sequence has this recursive formula.
What is the explicit formula for this sequence?
Answer: an=8+(n-1)(-6) .
Step-by-step explanation:
Match the base to the corresponding height.
Base (b)
Height (h)
Answer:
Step-by-step explanation:
Base of a triangle is defined by the segment joining two vertices and height of a triangle is the vertical distance between the base and the third vertex.
Therefore, by following this property, triangles given in first column will match the triangles given in second column. (as figure attached)
Answer: Base of a triangle is defined by the segment joining two vertices and height of a triangle is the vertical distance between the base and the third vertex.
Therefore, by following this property, triangles given in first column will match the triangles given in second column. (as figure attached)
Step-by-step explanation:
how do you take pictures of your work
Answer:
You take a regular photo of your question on your device and upload it when your asking a question on brainly!
Step-by-step explanation:
Hope I helped!
I will give BRAINLIEST
Answer:
D.
Step-by-step explanation:
the factors are (x-1)(x+4)(x-4)
does 20, 40, 30 form a pythagorean triple
Answer:
Step-by-step explanation:
If it is a Pythagorean Triple the hypotenuse and the legs of a right triangle will all be integer values where
c^2=a^2+b^2
In this case, this isn’t even a right triangle as
20^2+30^2=40^2
400+900=1600
1300!=1600
because 1300 does not equal 1600 this is not a Pythagorean Triple.
Complete the set of data with one value so that the mean of the data is 24. 26, 35, 10, 18, 15, 37, 25, 20, 15,
Answer:
39
Step-by-step explanation:
So there are 9 values. (1 to be added). First we add them all up. And we need to add another value. So the mean is all of the values added up, divided by the number of numbers. If we add another value, then there'll be 10 values. 24x10 is, of course, 240. If you add all of the given values, you get 201. And we can easily create the equation, x+201=240, and x, or the missing value, is obviously 39.
Solve the equation for X+15 =X+30
Answer:
i'm pretty sure there's no solution
Answer:
Step-by-step explanation:
when f(x) is replaced with
f(x)+k, the graph that results is shown below
K=__?
Answer:
k = 6
Step-by-step explanation:
Parent function of the given graph → f(x) = (x - 1)²
If the parent function is shifted 6 units up.
Equation of the translated function will be → g(x) = (x - 1)² + 6
g(x) = f(x) + 6
Therefore, k = 6 will be the answer.
hey cutie i need help :(
select all that apply !
Of the students who prefer science, 70% are female.
The number of students who prefer science is 130
Of the students who prefer math, 21 are male.
Of the students who prefer math, 17% are male.
Of the students who prefer science, 54% are female.
Of the students who prefer math, 14% are male.
Answer:
wrong right right wrong right wrong
Step-by-step explanation:
70/ 130= 53.8%
4th row 3rd one to the right
2nd row, 2nd one to the right.
21/156 = 13.4%
70/130 = 53.8% round to get 54%
21/156 = 13.4%
so 2nd 3rd 5th apply
Please Help!!!!! You have twice as many nickels as pennies. you have $1.10. how many of each coin do you have? Solve each problem using a system of equations.
Answer:
Step-by-step explanation:
n=2p
p+5n=110, using n found above makes this become
p+5(2p)=110
p+10p=110
11p=110
p=10, since n=2p
n=2(10)
n=20
So there are 10 pennies and 20 nickels.
please helpppp!!!will mark brainlyist
The difference between two numbers is 3. The sum of the same tow numbers is 13. What is the
product of the two numbers?
Answer: 40
Step-by-step explanation:
Let the two numbers be a and b.
Therefore,
a - b = 3 ....... i
a + b = 13 ....... ii
From equation I, a = 3 + b
Put a = 3+b into equation ii
a + b = 13
3 + b + b = 13
3 + 2b = 13
2b = 13 - 3
2b = 10
b = 10/2
b = 5
Since a = 3 + b
a = 3 + 5
a = 8
The product of the numbers will be:
= 8 × 5
= 40
2.8*10⁶=?
solve the equation, please
Answer:
2800000
Step-by-step explanation:
10^6 means 1000000
2.8 x 1000000 = 2800000
Could you please solve these? I will give five stars if correct.
9x−17=3x+7 Solve for x
−7b−1=−5(b+3) Solve for b
Answer:
x=4 b=-4/3
Step-by-step explanation:
for b you simplify both sides of the equation, and then you get -7b - 1 = 5B + 15 then you subtract 5 from both sides which gets you to -12b - 1 = 15 then you divide both sides by negative 12 which would be negative 12 b - -12 = 16-12 which gives you the answer of -4/3.
for x you would subtract 3x from both sides which gets you to 6x - 17 = 7 and then you would add 17 to both sides which would give you 6X = 24 and then you would divide both sides by 6 which would give you x = 4