Answer:
(x+1) ( x+(1/2))
Step-by-step explanation:
6x² +9x +3 , divide all terms by 6 to have the first term with coefficient 1
x² + (9/6)x + (3/6) , simplify the fractions
x² + (3/2)x + (1/2)
To get x² the first term we should have
(x.....)(x.....)
To get the last term (1/2) we should have
(x...1)(x...(1/2))
To get the middle term (3/2)x we should have
+1*x +(1/2) x = (2/2)x +(1/2)x = (3/2)x
(x+1) ( x+(1/2))
Given TT = 3.142 the volume of the r = 4cm and h=8cm,Find the volume of the cone.
the volume of the cone.
1/3 pi r^2h
Answer:
134.04
Step-by-step explanation:
Formula for Volume of a Cone = TT r^2 h/3
= 3.142 × 4^2 × 8/3
What Is the slope of a line perpendicular to y=x-6
The slope of a line that is perpendicular to y = x - 6 means that the slope has to be a negative reciprocal of the original slope
That means the slope of the line that is perpendicular to y = x - 6 is '-1'
Hope that helps!
16/3 as a decimal value.
Answer:
16 / 3 = 5.33333....
Step-by-step explanation:
its the accurate answer
pls brainliest
Please Help!
Amelia has 6/12 of sand in her bucket. Alex has 3/9 of sand in his bucket. Who has more and by how much??
Answer:
Amelia has more she has 1/2 and Alex has 1/3
Verify the identity.
(cos x/1 + sin x) = sec x - tan x
Drag an expression into each box to correctly complete the verification of the identity.
Answer:
this are the answers
Step-by-step explanation:
The trigonometric value identity is solved (cos x/1 + sin x) = sec x - tan x
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
To verify the identity (cos x / (1 + sin x)) = sec x - tan x, we need to simplify the right-hand side of the equation using trigonometric identities and see if it matches the left-hand side.
sec x - tan x = 1/cos x - sin x/cos x = (1 - sin x)/cos x
On simplifying , we get
cos x / (1 + sin x) = cos x / (1 + sin x) * (1 - sin x)/(1 - sin x) = cos x * (1 - sin x) / (1 - sin²x)
Using the Pythagorean identity sin²x + cos² x = 1, we can substitute 1 - cos²x for sin²x in the denominator:
So , cos x / (1 + sin x) = cos x ( 1 + sin x ) / cos²x
On further simplification , we get
cos x / (1 + sin x) = cos x / cos²x + cos x ( sin x ) / cos²x
cos x / (1 + sin x) = ( 1/cos x ) + ( sin x / cos x )
From the trigonometric relations , we get
cos x / (1 + sin x) = sec x - tan x
Hence , the trigonometric equation is solved
To learn more about trigonometric relations click :
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Please solve
Natalia paid $38.95 for three medium-sized pizzas and a salad. If Natalia paid $11.98 for the salad, how much did each pizza cost? Enter your answer in the box.
Answer:
$8.99
Step-by-step explanation:
$38.95- $11.98 = $26.97
$26.97 / 3 pizzas = $8.99
Can somone pls help me on this (:
Answer:
Step-by-step explanation:
When it comes to mathematical concepts, those tiny numeral superscripts called exponents can intimidate even the most earnest student. One thing that helps stop the anxiety is understanding the importance of exponents in everyday math applications.
5 real-life uses:
pH ScalesWriting Large or Small NumbersTaking MeasurementsRichter ScalesFinanceA bike store sells scooters at 45% markup. If the store sells each scooter for $87 then what is the original price?
Urgent with 12 pts.
Which equation is equivalent to 10+2(x−1)+7x=3x+1?
Answer:
Answer is x = -7/6
Step-by-step explanation:
please look at the image
PQ is a straight line segment.According to the information marked in the figure, (I) Find the magnitude of PÔS. (ii) Find magnitude of SÔQ.
PLEASEEEEEEE HEELPPP!!
99 POINTS!! btw turn the attached picture upside down
Answer:
magnitude of PÔS = 60°
magnitude of SÔQ = 120°
note: a straight line has always 180°
solve for x:
PÔS + SÔQ = 180°3x + 2x + 80° = 180°5x = 180° - 80°5x = 100°x = 20°m∠POS
3x 3(20°)60°m∠SOQ
2x + 80°2(20°) + 80°40° + 80°120°So to find angle POS and SOQ we have to find value of x first.
[tex] \\ [/tex]
[tex] \rm \angle POS + \angle SOR + \angle ROQ = 180 \degree \\ [/tex]
Reason:-
Sum of angles on same line.
By the way it can be any number of angles but they should meet at same point. And their sum is always 180°. Remember linear pair? It is also same aspect but there will be only two angles.
[tex] \\ [/tex]
So:-
[tex] \\ [/tex]
[tex] \dashrightarrow \sf \angle POS + \angle SOR + \angle ROQ = 180 \degree \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf 3x + 2x+ 80= 180 \degree \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf 5x+ 80= 180 \degree \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf 5x= 180 - 80 \degree \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf 5x= 100 \degree \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf x= \dfrac{100}{5} \degree \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf x= \dfrac{5 \times 20}{5} \degree \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf x= \dfrac{\cancel5 \times 20}{\cancel5} \degree \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf x= \dfrac{1 \times 20}{1} \degree \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \bf x=20\degree \\ [/tex]
[tex] \\ \\ [/tex]
Verification:-[tex] \\ [/tex]
[tex] \dashrightarrow \sf 3x + 2x+ 80= 180 \degree \\ [/tex]
Put value of x
[tex] \\ [/tex]
[tex] \dashrightarrow \sf( 3 \times 20) + (2 \times 20)+ 80= 180 \degree \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf60 + (2 \times 20)+ 80= 180 \degree \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf60 + 40+ 80= 180 \degree \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf100+ 80= 180 \degree \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \bf180= 180 \degree \\ [/tex]
LHS = RHS
HENCE VERIFIED!
[tex] \\ [/tex]
Angle POS = 3xAngle POS = 3 × 20Angle POS = 60°Angle SOQ = 2x + 80Angle ROQ = 2 × 20 + 80Angle ROQ = 40 + 80Angle ROQ = 120°answer then get brainliest :)
Answer:
[tex] \frac{2}{5} = \frac{6}{15} = \frac{12}{45} [/tex]
What is the area of the rectangle?
Answer:
1/3
Step-by-step explanation:
2/5 times 1/3 equals 1/3
PLEASE ASAPPPPP I NEED TO SUBMIT IT NOWWW
Answer: See below
Step-by-step explanation:
a) For call duration of 100min. Plan A costs less as we can see from the graph.
Plan A = $12 and Plan B = $18 So, it costs $6 less
b) For call minutes of 250 both plans cost the same.
After this point Plan A becomes costlier
what is x in this problem simplify
x−15≤−6
Answer:
x-15[tex]\leq[/tex]-6 1. +15 on both sides
x [tex]\leq[/tex]9
Explain about Pythagorean Theorem in your own words.
Without looking it up.
Answer:
The Pythagorean theorem just talks about the connection between the lengths of the sides of right triangles. Something like that i guess
Step-by-step explanation:
What is the measure of x in triangle ABC?
A. 41°
B. 61°
C. 31°
D. 51°
Answer:D.51
Step-by-step explanation:180-68-61=51
Answer:
68+61+X=180°
129+X=180°
X=180°-129
X=51°
f(x)=2x−2
g(x) = −2x + 1
Find f(5) • g(3)
Answer:
-40
Step-by-step explanation:
(2(5) - 2) (-2(3) + 1)
(10 - 2) (-6 + 1)
8(-5)
-40
10
30 (2.-4)
10
A. 5
B. 1
C. -1
D. -5
Answer:
A
Step-by-step explanation:
correct me if I'm wrong
Michelle bought five packs of crayons for $16.25 What is the cost of a pack of crayons, in dollars, if all the packs cost the same?
Answer:
Michelle bought a pack of crayon for $3.25
Step-by-step explanation:
Number of packs = 5
The cost of a pack of crayons =
(Cost of 5 packs of crayon) / (number of packs of crayons)
The cost of a pack of crayons = ($16.25 ) / 5
The cost of a pack of crayons = $3.25
I do not know the answer for this, what is the answer?
Answer:
Reflection and then translation
Step-by-step explanation:
It is a reflection because it flips across and then a translation because it moves down. I hope this helps you.
Answer:
Reflection then translation.
Hope this helps!
what is the geometric mean of 10 and 24
Answer:
26
Step-by-step explanation:
you square both 10 and 24
you then will get 100 and 576
you then will add them together
and get 676
since 676 is not a whole number
you then will dive the number by 4
to get the numbers
13 and 4
13 [tex]\sqrt{4} \\[/tex]
13*2 because the square root of 4 is 2
13*2 =26
For every 2 pages of a book that Bernice reads, Charmaine reads 3. When Charmaine
had 16 pages left, Bernice had 36. How many pages are there in the book?
Answer:
76
Step-by-step explanation:
Let x = number of pages
Since Charmaine had 16 pages left, subtract 16 from x to indicate that is the number of pages read like this: x - 16
Divide that by 3 like this: (x - 16)/3
Do the same for Bernice: (x - 36)/2
Make them equal to each other
(x - 16)/3 = (x - 36)/2
Cross multiply
2(x - 16) = 3(x - 36)
Distribute
2x - 32 = 3x - 108
Move like terms to the same side by subtracting 2x from both sides
2x - 32 = 3x - 108
- 2x - 2x
-32 = x - 108
Add 108 to both sides
-32 = x - 108
+ 108 + 108
x = 76
This means there are 76 pages in the book.
The area of a square is 64. What is the perimeter of the square?
Answer:
The perimeter is 32
Step-by-step explanation:
Area of square= a²
square root of 64= 8
Perimeter= 4x the square root
8x4=32
Convert the following number to a percent 68/ 23 If needed, round to the nearest whole.
Step-by-step explanation:
[tex] \frac{68}{23} [/tex]
[tex] = 2.956521739130434[/tex]
[tex] = 2.956521739130434 \times 100[/tex]
= 295.6521739130434%
=296%
Answer:
296%
Explanation:
→ 68/23
to turn it unto fraction, multiply it by 100
→ 68/23 * 100
simplify
→ 6800/23
divide the number
→ 295.65
final answer in percentage
→ 296%
Which equation will have the same solution as
3(2x - 1) + 4x = 13?
A 10x = 14
B. 9x = 14
C. 10x = 16
D. 9x = 16
Answer:
C. 10x=16
Step-by-step explanation:
3(2x-1)+4x=13
Distribute the 3 by multiplying it by 2x and -1.
6x-3+4x=13
Add same properties. 6x and 4x 6x+4x=10x
10x-3=13
Add 3 to both side get rid of the negative 3 -3+3=0 13+3=16
10x=16
Answer:
C
Step-by-step explanation:
10x=16
Sarah's brother is 12 less than twice her age. If Sarah is 16, what equation represents this situation?
The equation that can be used to represent the ages of Sarah and his brother will be 2x - 12 = 16.
How to solve the equationFrom the question given, Sarah's brother is 12 less than twice her age and Sarah is 16.
Let Sarah's age be represented by x.
Therefore, the equation to represent the situation will be:
= (2 × x) - 12 = 16
2x - 12 = 16
2x = 16 + 12.
2x = 28
x = 28/2 = 14
Sarah is 14 years.
Learn more about equations on:
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what is the sum of 5x - 6y + z and 5x - 6y - z
Answer:
solution,
5x-6y+z+5x-6y-z
(+z and -z will be cancelled)
now,
5x+5x-6y-6y
10x+ 12y( because 2 minus makes plus)
9=v+4/v+12
find the value of v
extra points to brainliest
Answer: v = -13
Step-by-step explanation:
Multiply both sides of the equation by (v+12). On the right side, the (v+12) terms will cancel leaving only (v+4). On the left, we will have 9(v+12). Therefore:
[tex]9(v+12)=v+4[/tex]
Distribute the 9 into the parenthesis to get:
[tex]9v+108=v+4[/tex]
Subtract 'v' on both sides to get:
[tex]8v+108=4[/tex]
Subtract 108 from both sides to get:
[tex]8v=-104[/tex]
Divide both sides by 8 to get:
[tex]v=-13[/tex]
What is the length of the hypotenuse of the triangle when x=10?
The length of the hypotenuse is about
Answer:
84 (nearest whole number)
Step-by-step explanation:
If x = 10,
Longest leg = (7 x 10) + 4 = 74
Shortest leg = 4 x 10 = 40
Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse of a right triangle):
⇒ 74² + 40² = c²
⇒ 7076 = c²
⇒ c = √7076 = 84.11896...
⇒ hypotenuse = 84 (nearest whole number)
Answer:
84
Step-by-step explanation:
[tex] \sqrt{ {(40)}^{2} + {74}^{2} } = 84.1[/tex]
A storage trunk is 40 inches wide by 28 inches deep by 36 inches high. What is the volume of the trunk?
Answer:
40 x 28 x 36 = 40,320. Hope this helped
