Answer:
This gives us a pair of simple equations:
100percent =150(1). xpercent =114(2).
therefore, 114 is 76percent of 150
Step-by-step explanat:
Prove that:
Sin^2A+Sin^2B.Cos2A=Sin^2B+Sin^2A.Cos2B
Answer:
See Below.
Step-by-step explanation:
We want to prove that:
[tex]\displaystyle \sin^2 A + \sin^2 B \cdot \cos 2A = \sin^2 B + \sin^2 A \cdot \cos 2B[/tex]
Recall that double-angle identity for cosine:
[tex]\displaystyle \begin{aligned} \cos 2x &= \cos^2x - \sin^2 x \\ &= 2\cos^2x -1 \\ &= 1 - 2\sin^2 x\end{aligned}[/tex]
Substitute cos(2A) for its third form:
[tex]\displaystyle \sin^2 A + \sin^2 B \cdot \left(1 - 2\sin^2 A\right) = \sin^2 B + \sin^2 A \cdot \cos 2B[/tex]
Distribute:
[tex]\displaystyle \sin^2 A + \sin^2 B - 2\sin^2B \sin^2A = \sin^2 B + \sin^2 A \cdot \cos 2B[/tex]
Rewrite:
[tex]\displaystyle \sin^2 B + \left(\sin^2 A - 2\sin^2 B\sin^2 A\right)[/tex]
Factor:
[tex]\displaystyle \sin^2 B + \sin^2A\left(1 - 2\sin^2 B\right) = \sin^2 B + \sin^2A\cdot \cos 2B[/tex]
Double-Angle Identity for cosine:
[tex]\displaystyle \sin^2 B + \sin^2 A \cdot \cos 2B \stackrel{\checkmark}{=} \sin ^2 B + \sin^2 A\cdot \cos 2B[/tex]
Hence proven.
Combine and simplify these radicals.
Answer:
4 sqrt(3)
Step-by-step explanation:
sqrt(3) * sqrt(16)
sqrt(3) *4
4 sqrt(3)
Answer: d
Step-by-step explanation: I took the test
what is the measure of B?
Answer:
A. 28°
Step-by-step explanation:
Since sides AC and AB are congruent, their opposite angles are congruent.
m<B = m<C = 28°
Answer: A. 28°
Answer:
The answer is A
Step-by-step explanation:
What you have is an isosceles triangle. AC = AB <A cannot be 28 degrees so the triangle is not equilateral.
If the 2 sides are equal, the 2 angles opposite these equal sides are also equal.
<B = <C
<C = 28 degrees
<B = 28 degrees
Leo took part in a diet program. He weighed 190 pounds at the start of the program. During the first week, he lost 4.3 pounds. During the second week, he had lost 2.8 pounds. The third week, he gained 0.7 pounds. The fourth week, he lost 1.9 pounds. What did Leo weigh at the end of the fourth week?
Answer:
Leo's weight at the end of the fourth week = 181.7 pounds
Step-by-step explanation:
Leo's initial weight = 190 pounds
First week = lost 4.3 pounds
New weight = 190 pounds - 4.3 pounds
= 185.7 pounds
Second week = lost 2.8 pounds
New weight = 185.7 pounds - 2.8 pounds
= 182.9 Pounds
Third week = gained 0.7 pounds
New weight = 182.9 pounds + 0.7 pounds
= 183.6 pounds
Fourth week = lost 1.9 pounds
New weight = 183.6 pounds - 1.9 pounds
= 181.7 pounds
Leo's weight at the end of the fourth week = 181.7 pounds
Alternatively
New weight = initial weight - first week - second week + third week - fourth week
= 190 - 4.3 - 2.8 + 0.7 - 1.9
= 181.7 pounds
Isabel and Sophia share a bag of 42 sweets. Isabel has 16 sweets. Find the ratio of Sophia's sweets to Isabel's sweets.
Answer:
ratio of Sophia's sweets to Isabel's sweets is
13:8
Answer:
you first have to find the number of sweets that sophia got.by subtracting the total number of sweets minus the number of sweets that isabel got which will be
42-16=26
therefore the ratio will be
16:26
8:13
I hope this helps
Help due in 20 mins!
What is the slope of the line segment?
A graph is shown. The values on the x axis are 0, 1, 2, 3, 4, and 5. The values on the y axis are 0, 4, 8, 12, 16, and 20. A straight line joining the ordered pairs 0, 0 and 1, 4 and 2, 8 and 3, 12 and 4, 16.
Answer choices:
A.1 over 4
B.Negative 1 over 4
C. 4
D. −4
Answer: The answer is C. 4
Hope this helped!Step-by-step explanation:
(0,0) and (4,16)
(y1-y2)/(x1-x2)
0-16/0-4=16/4=4
Work out an estimate for the value of 89.3X0.51divided by 4.8
Answer:
It is 9.5
Step-by-step explanation:
[tex] = (89.3 \times 0.51 )\div 4.8[/tex]
first solve the bracket:
[tex] = (45.543) \div 4.8 \\ = 9.488[/tex]
factorise 12x²+15xy.
Answer:
3x(4x+5y)
Step-by-step explanation:
to factorise this equation you have to remove the common terms,or the common factors in this case the common factor for both sides is 3 and the common letter is x
12x²+15xy
3x(4x+5y)
I hope this helps
What is the answer to P(4)=4n + 5
Answer:
P(x) = 4n+5
P(4) = 4(4)+5
P(4) = 16+5
P(4) = 21
The answer is 21.
Let me know if this helps!
branches of chemistry
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{There is approximately 5 branches of chemistry.}\\\\\large\textsf{The branches are...}}\\\\\bullet\large\text{Analytical chemistry}\\\bullet\large\text{Biochemistry}\\\bullet\large\text{Inorganic chemistry}\\\bullet\large\text{Physical chemistry}\\\bullet\large\text{Organic chemistry}[/tex]
[tex]\star\large\textsf{\ \underline{\underline{Analytical chemistry}} is the science that prevails, communicates, and}\\\large\textsf{process the information about its arrangement of the matter.}\\\\\star\large\textsf{\ \underline{\underline{Biochemistry}} is the study of the process in the cellular \& molecular}\\\large\textsf{level}[/tex]
[tex]\star\large\textsf{\ \underline{\underline{Inorganic chemistry}} is the behavioral mood of the inorganic and the} \\\large\textsf{organometallic compounds. It is distributed with the synthesis.}\\\\\star\large\textsf{\ \underline{\underline{Physical chemistry}} is the changing and exchange of the materials.}[/tex]
[tex]\star\large\textsf{\ \underline{\underline{Organic chemistry}} is the study of the structure, property,}\\\large\textsf{(or properties) \& reactions of the organic compounds}[/tex]
[tex]\large\boxed{\frak{Good \ luck \ on \ your \ assignment \ \& \ enjoy\ your\ day!}}[/tex]
~[tex]\rm{Amphitrite1040:)}[/tex]
a rectangular garden is 52m long and 34m broad a path 2m wide is running inside the garden calculate the cost of travelling the path at rs 40 per sq metre snd calculate the cost of covering the empty space with tires at rs 20 per sq metre
Answer:
Answer From Gauth Math
Step-by-step explanation:
6. An integer Pis two thirds of another and their difference is 10. Find the two integers. an integer p is 2/3 of another and their difference is 10 find the two integers
Answer:
20, 30
Step-by-step explanation:
let the intergers be x and y
x = 2/3y
from this eqn, we know that y is larger.
hence, y-x=10
y-2/3y=10
1/3y=10
y=30
x=2/3y =2/3(30) = 20
Determine if the following conjecture is valid.
Given: If a computer sales person sells at least 15 computers in a week, then she gets a bonus. Mandy sells 12 computers in a week.
Conclusion: Mandy gets a bonus.
Answer:
Not valid
Step-by-step explanation:
Because 12 is minor than 15
The conjecture is not valid.
Mandy not gets a bonus.
Given that:
If a computer sales person sells at least 15 computers in a week, then she gets a bonus.
Maddy sells 12 computers in a week.
Conclusion: Maddy gets a bonus.
We have to check the conjecture is valid or not.
What is Conjecture?
A conjecture is a conclusion or proposition that is proffered on the tentative basis without the proof.
Now,
Here, if a person sells 15 or more computers in a week, she gets a bonus.
Maddy sells 12 computers in a week, which is less than 15.
So, Maddy did not get a bonus.
Learn more about conjecture visit:
https://brainly.com/question/20409479
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If angle DCA measures 65 degrees, then angle ACB measures _____ degrees.
90
25
65
DCB form a right angle which is 90 degrees.
The two inside angles need to equal 90
ACB = 90-65 = 25
Answer: 25
Answer:
25
Step-by-step explanation:
its correct
Geometry, please answer question ASAP
Using the box-and-whisker plot shown, find the maximum, minimum, and median values.
Hi, I'm happy to help!
for a box an whisker plot, maximum and minimum values on the edge of the lines. The maximum shown here is 8, because the line ends there. The minimum is -8 because the line ends there.
The median value is shown by the middle line, which is 4.
To sum it up: Maximum: 8, Minimum: -8, Median: 4\
I hope this was helpful, keep learning! :D
What is the slope of the line?
Answer:
A number that describes both the direction and the steepness of the line is known as slope of the line .
Function: y= x^2 + 5x - 7
Vertex:
Solutions:
( , ) and
( , )
Answer:
Vertex is (-2.5, - 13.25) and x=(-5±sqrt(53))/2
Step-by-step explanation:
x^2+5x-7
x^2+5x+(2.5)^2-(2.5)^2-7
(x+2.5)^2-13.25. Vertex is (-2.5, - 13.25)
Solution of the functions are x=(-5±sqrt(53))/2
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Larry is going on a road trip for work. He is recording how many miles he drives, and how many gallons of gas he uses for his expense report. Which is the independent variable?
A. the amount of gasoline Larry uses
B. the type of car Larry drives
C. the type of roads Larry drives on
D. the amount of miles Larry drives
Answer: option A the amount of gasoline larry uses
Step-by-step explanation:
This is because a independent variable is not changed by other variables.
please click thanks and mark brainliest if you like :)
the prouduct of any two irrational number is
Answer:
mostly rational but sometimes irrational
HELPPPPPPPPP !!!!!!!!! plzzzzz
Answer:
a) its root 2
b) 2
c) 3,4,5,6 (just all x numbers)
d) inverse is just reverse of points ex: (2,1) for the first set
also what is that equation up top am i suppose to use that for something
Step-by-step explanation:
1. The mayor of the city of Cleveland wants to increase taxes in order to invest in a light-rail transit system. She hires a polling agency to randomly
select 750 registered voters in the city to survey in order to determine the maximum percentage increase in municipal taxes that they would
approve. What is the population in this survey and the population parameter?
All American citizens and the maximum percentage increase in taxes
750 registered voters in Cleveland and the average light-rail transit cost per mile
O All registered voters in Cleveland and the maximum percentage increase in taxes
O Citizens over 65 years of age in Cleveland and the 750 registered voters
Answer:
All registered voters in Cleveland and the maximum percentage increase in taxes
hlppppppppppppppp mehhhhhhhhhhhhhhh
Answer:
120
Step-by-step explanation:
Given,
t = 2
s = 10
3 t^2 s
= 3 x 2^2 x 10
= 3 x 4 x 10
= 120
Answer:
Step-by-step explanation:
Hello!
t² = 2²=4
3*4*10 = 120
Penelope earned $50 in May. She earned $60 in June.
What is the percent increase or decrease in Penelope's monthly earnings?
O A. 30% decrease
O B. 25% increase
O C. 20% decrease
O D. 20% increase
Answer:
20% Increase
Step-by-step explanation:
Percentages can be put vice versa. So 20% Of 50 = 50% Of 20 Which Equals 10.
Mark me as brainliest please
2/3 divided by -2 (in fraction form)
2/3 divided by -2
now,
answer= 2/3×1/2
we need to receprocal the number if we have to change division into multiplication...
= 1/3
we cut 2 as it is equal and present in both denomenator and numerator....
Answer:
-2/6
Step-by-step explanation:
which letter has horizontal not vertical symmetry H, W, Y, E
I thing W,Y is righ am i right.
the area of kitchen is 149m^2 how many tiles each of area 0.2m^2 are needed to flooring the kitchen what will be the total coast at the rate of rs 250 per tiles..
Answer:
186,250 rs
Step-by-step explanation:
So
149m is the whole space
0.2m is one tile space
250 rs = 0.2 tiles (so 250=1)
so if there is
A paper factory needs to ship an order for 4,500 sheets of yellow paper. The factory will put 50 sheets in each box. How many boxes will the paper factory need to us
Answer:
90
Step-by-step explanation:
If they put 50 sheets per box, then it is just simple division.
4,500 divided by 50 is 90.
Answer:
90 boxes
Step-by-step explanation:
They need to ship 4500 sheets of paper.
They put 50 pages in each box.
# of boxes they will need = amount of paper / amount of paper they put in each box
# of boxes they will need = 4500 / 50 = 90
mp rs 700 and sp rs 524 find discount step by step.
[tex]\boxed{\sf Discount=CP-SP}[/tex]
[tex]\\ \sf\longmapsto Discount=700-524[/tex]
[tex]\\ \sf\longmapsto Discount=176[/tex]
Answer:
cost price(cp)=rs.700
sold price(sp)=rs.524
discount =cp-sp
discount =700-524
discount =rs.176
Must show work! PLEASE DO THIS ASAP!
No links
Answer:
37.68
Step-by-step explanation:
The formula for circumference is 2*pi*r plug in 6 for the radius to get 2*3.14*6 simplify to get 37.68
[tex]\rm \: \hookrightarrow \:\:Circumference \: \: of \: \: circle \: = \: 2 \: \pi \: r[/tex]
r = 6 inchesπ = 3.14[tex]\bf \large \: \implies \:\:2 \: \times \: 3.14 \: \times \: 6[/tex]
[tex]\bf \large \: \implies \:\:6.28 \: \times \: 6[/tex]
[tex]\bf \large \: \implies \:\:37.68 \: \: inches[/tex]
