Answer:
195 cm 2
Step-by-step explanation:
If [tex]\frac{a+b}{3} =\frac{b+c}{6} =\frac{c+a}{5}[/tex] then prove that: [tex]\frac{a+b+c}{a} =7[/tex]
Answer:
[tex]\dfrac{a+b+c}{a} =7[/tex]
Step-by-step explanation:
Given :-
[tex]\dfrac{a+b}{3} =\dfrac{b+c}{6} =\dfrac{c+a}{5}[/tex]And we need to prove that ,
[tex]\dfrac{a+b+c}{a} =7[/tex]So let us assume that ,
[tex]\dfrac{a+b}{3} =\dfrac{b+c}{6} =\dfrac{c+a}{5}=k[/tex]
Where k is a constant . Now equate each of the three terms separately to k . Therefore we have ,
[tex]\dfrac{a+b}{3}=k[/tex][tex]\implies a + b = 3k \quad \dots (i) [/tex]
Similarly we can say that ,
[tex]\implies c + b = 6k \quad \dots (ii)[/tex]
[tex]\implies a + c = 5k\quad \dots (iii) [/tex]
Subtracting (i) and (ii) :-
[tex]\implies a - c = -3k \quad \dots (iv) [/tex]Adding (iv) and (iii) :-
[tex]\implies 2c = 4k [/tex]
[tex]\implies \boxed{c = 4k }[/tex]
Put this is (ii) :-
[tex]\implies b +4k = 6k [/tex]
[tex]\implies \boxed{b= 2k }[/tex]
Similarly we will get ,
[tex]\implies \boxed{a = k }[/tex]
Proving the given equation :-
[tex]\implies \dfrac{a+b+c}{a} \\\\\implies \dfrac{k+2k+4k}{k} \\\\\implies \dfrac{7k}{k}=\boxed{\red{ 7}}[/tex]
Hence proved !
Find the area of this circle. Use 3.14 for pi . the circle is 72 in
Answer:
16277.76 in
Step-by-step explanation:
area
[tex]\pi \times {72}^{2} [/tex]
heyy! i’ll give brainliest please help.
Answer:
I believe it's the Gulf Stream
Step-by-step explanation:
"Warmer air associated with the North Atlantic drift brings warmer Gulf Stream waters to the western areas of the British Isles. Keeping it much warmer than it would otherwise be."
Answer:
im going to say the equator
Step-by-step explanation:
heyy! i’ll give brainliest please help
Answer:
North?
Step-by-step explanation:
If each triangle is the right Triangle yes or no?
Answer:
This is not a right triangle
Step-by-step explanation:
right triangle has a 90° angle and this triangle does not have a 90° angle
Please help me with this question
Answer:
[tex]y = e^{x^2 - 3x}\\\\\\Let \ u = x^2 - 3x\\\\y = e^u\\\\\frac{dy}{du} = e^u\\\\\frac{du}{dx} = 2x - 3\\\\y' = \frac{dy}{dx} = \frac{dy}{du} *\frac{du}{dx} = e^u * (2x -3)\\\\Substitute \ u = x^2 -3\\\\y' = (2x -3)e^{x^2-3x}\\\\option A[/tex]
i need help i cant figure it out and I am struggling show WORK. NO LINKS please
(t + 8)( - 2) =12
Answer:
t = -14
Step-by-step explanation:
(t + 8)( - 2) =12
(t)(-2) + (8)(-2) = 12
-2t + -16 = 12
(subtract to make -16 positive)
-2t - 16 = 12
+16 +16
(add 16 to both sides. 16 and 12)
-2t = 28
(divide)
-2t = 28
/-2 /-2
t = -14
hope this helped!
Explain why 0.25 ×0.4 has only one decimal in the product
Answer: Because a decimal times a decimal is always going to be smaller than the original decimal.
Step-by-step explanation:
Select all expressions that are equivalent to 2 x 2 x 2 x 2 x 2 x 2
Answer: The answer is A,B, and E.
Step-by-step explanation:
find the measure of angle H in the photo above
Answer:
H = 31 degrees
Step-by-step explanation:
To find the value of the angle marked H, we will use he circle angle theorem
We have it that;
H = (88-26)/2
H = 62/2
H = 31 degrees
Which line is graphed below? y = 3x2 y=-3x - 2 y = -3x + 2 O y = 3x - 2
Answer:y=3x-2
Step-by-step explanation:
In ΔHIJ, j = 98 cm, h = 38 cm and ∠I=23°. Find the length of i, to the nearest centimeter.
Answer:65
Step-by-step explanation:
please i need help fast. please show WORK and tell me how to do it NO links,
15 = b/15 check your solution.
Answer:
b = 225
Step-by-step explanation:
multiply both members by 15
15 x 15 = (b/15)x 15
b = 225
Answer:
225
Step-by-step explanation:
if b divided by 15 equals 15, multiply 15 by 15 and you get 225
If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to x from the
second equation is substituted into the first equation
3x + 2y = -21
x - 3y = 4
3(3y + 4) + 2y = -21
3(-3y + 4) + 2y = -21
3x + 2(3y + 4) = -21
3x + 2(-3y + 4) = -21
Answer:
answer is
3(3y+4) + 2y = -21 .
F(x)=x^2. What is g(x)
Answer:
D
Step-by-step explanation:
An electrician needs 3/8 of a roll of electrical wire to wire each room in a house. How many rooms can he wire with 2 1/4 rolls of wire? Write your answer as a fraction or as a whole or mixed number.
Answer: 6 rooms
Step-by-step explanation:
3/8 rolls of wire are needed to wire a room in a house. If there are a total of 2¹/₄ rolls of wires, the number of rooms that could be wired is:
First convert to an improper fraction:
2¹/₄ = 9/4 rolls of wire
Total number of rooms that can be wired are:
= Total amount of wire available / Wires per room
= 9/4 ÷ 3/8
= 9/4 * 8/3
= 72 / 12
= 6 rooms
√48m^4 n^3 p^4
simplify square roots
Answer:
4m^2np^2√3n
Step-by-step explanation:
Xander's adult cat weighs 2,918 grams. As an 8-week old kitten, Xander's cat weighed 640 grams. What is the percent increase in the kitten's weight rounded to the nearest whole number?
Answer:
Percentage increase = 36%
Step-by-step explanation:
Kitten's weight = 640 grams
Adult's weight = 2918 grams
To find the percentage increase in the kitten's weight;
We will calculate the increase using the formula;
[tex] Increase = original \; number - new \; number [/tex]
Substituting the values, we have;
Increase = 2918 - 640 = 2278
Mathematically, percentage increase is calculated using the following formula;
[tex] Percentage \; increase = \frac{increase}{original \; number} * 100[/tex]
[tex] Percentage \; increase = \frac{2278}{640} * 100[/tex]
[tex] Percentage \; increase = 3.56 * 100[/tex]
Percentage increase = 35.5 ≈ 36%
Please help will Mark brainliest
Answer:
3.v-4=6
v=6+4
v=10
6.y-32=-1
y=-1+32
y=31
9.-1=t+(-19)
-1=t-19
-1+19=t
18=t
12.u+(-5)=-15
u-5=-15
u=-15+5
u=-10
15.47=w-(-8)
47=w+8
47-8=w
39=w
21.18f=-216
f=-216/18
f=-12
24.96=-24a
96/-24=a
-4=a
27.-84=d/3
-84*3=d
-252=d
30.81=1/6*n
81=n/6
81*6=n
486=n
33.5/9*p=-10
5p=-10*9
p=-90/5
p=-18
PLEASE HELP!!!! I will give away 100 pts and Brainliest to correct the answer!
Answer:
translation by T (x-5 y+0)
Step-by-step explanation:
----------
Answer:
There is not a lot of change, the only change is that is moved 5 units to the right.
Step-by-step explanation:
Hope this helps! :)
Hope you a 100% on the test
if the value of a in the quadratic function f(x) = ax^2 + bx + c is 1/2, the function will:
Answer:
Open up and have a minimum
Step-by-step explanation:
If the x² coefficient is:
Positive, the graph will open up and have a minimum
Negative, the gaph will open down and have a maximum
Answer:
opens up and has a minimum
Step-by-step explanation:
Provided a is not 0, y=ax^2+bx+c will be a parabola.
The parabola will open up and have a minimum if a is positive.
The parabola will open down and have a maximum if a is negative.
Since 1/2 is positive, then your parabola opens up and has a minimum.
Please help I will give brainliest
Answer:
2:1
1:2
x=16
y=4
p=46
p=23
Step-by-step explanation:
Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.
How many classes would Gina need to take for the total cost to be the same at both dance studios?
Answer:
10 classes
Step-by-step explanation:
Given equations in the question
Dance World: y = 15x
Toe Tappers: y = 25 + 12.5x
Where,
x = number of classes
Equate the total cost at both dance studios
15x = 25 + 12.5x
Collect like terms
15x - 12.5x = 25
2.5x = 25
Divide both sides by 2.5
2.5x / 2.5 = 25 / 2.5
x = 10 classes
x = number of classes = 10
Answer:
AStep-by-step explanation:
Help with this problem pls
As x increasing y decreases.
As x decreases, y increases.
Please mark as the brainliest.
Hope it helps you.
Thank You
PLEASE I NEED HELP ASAP!!
Answer:
4√5
Step-by-step explanation:
What is the solution of log(2f+4)=log(14-3f)
A)-18
B)-2
C)2
D)10
Answer:
f = 2
Step-by-step explanation:
equate the log
therefore,
2f + 4 = 14 - 3f
collect like terms
2f + 3f = 14 - 4
5f = 10
divide through by 5
f = 10/5
f = 2
List the kinds of measurements have you worked with so far. Describe what area is. Describe what volume is.
How could you find the combined area of all faces of a three-dimensional shape? Give an example of why that would be a good measurement to know.
Answer:
In the passed I've used measurement cups, rulers, addition, subtration, and multiplication too.
Step-by-step explanation:
Stay Safe <3 =3 Can I maybe Get Brainliest?
If you went to a dinner with 4 choices of appetizers, 5 main courses, and 2 desserts... the
number of meal options is an example of......
1.Counting Pr inciple
2.Permutation
3.Combination
Answer:
1. counting principle
Step-by-step explanation:
-----
Identify the time being asked.
Given
12-hour
24-hour
1.) Half past midnight
2.) 2 hours to 9:00 p.m.
3.) 5 to 23:00 H
4.) Quarter after 00:00
H
5.) 3 hours and 2 minutes before 8:40 a.m.
Answer:
well
dito binibigyan kita ng tagalol na wika
PLZZZ HELPZZZZZZZZZZZZZZ
Answer:
option 1 , not correct
x + 3 > -7
x > -7 - 3
x > -10
x ={ - 9, - 8, - 7 . . .}
option 2, not correct
x - 3 ≤ -7
x ≤ -7 + 3
x ≤ -4
x = { -4, -5, -6 . . . }
option 3, not correct
x - 3 ≥ -4
x ≥ -4 + 3
x ≥ -1
x ={ -1, 0 , 1 , 2 . . .}
option 4, correct
x - 3 ≥ -7
x ≥ -7 + 3
x ≥ -4
x ={ -4, -3, -2 , -1 , 0 , 1 , 2. . . }