Step-by-step explanation:
[tex]{ \rm{a = c = \frac{2}{5} b}} \\ \\ { \rm{b = d = \frac{5}{2} a}}[/tex]
• Substitute:
[tex]{ \rm{ \frac{a + 3c + 4}{b + 3d + 10} = \frac{ \frac{2}{5} b + \frac{6}{5}b + 4 }{ b + \frac{15}{2} b + 10} }} \\ \\ = { \rm{ \frac{ \frac{8}{5} b + 4}{ \frac{17}{2}b + 10 } }} \\ \\ { \rm{}}[/tex]
Solve 4 sinx + 9 cosx=0 for 0°
4 sin(x) + 9 cos(x) = 0
4 sin(x) = -9 cos(x)
tan(x) = -9/4
x = arctan(-9/4) + nπ … … … (in radians)
or
x = arctan(-9/4) + 180n ° … … … (in degrees)
where n is any integer.
I'm guessing you're solving for x over some domain, probably 0° ≤ x < 360°. In that case, you would have two solutions for n = 1 and n = 2 of
x ≈ 113.96° and x ≈ 293.96°
please help fast!! geometry
Answer:
512 inches ^2
Step-by-step explanation:
The surface area is found by
SA = 2(lw+wh+hl) where l is the length h is the height and w is the width
SA = 2( 8*8 + 8*12 + 12 * 8)
= 2(64+ 96+96)
= 2 ( 256)
= 512 inches ^2
Answer:
512 square inches
Step-by-step explanation:
8 x 8 = 64
12 x 8 = 96
64 x 2 = 128
96 x 4 = 384
128 + 384 = 512 in^2
Relationship between q and t pleaseeee helppppp
Step-by-step explanation:
it is simple.
there is a constant speaking time of 25 minutes.
the duration of the meeting is the speaking time plus the question answering time.
so,
q = 1 means t = 25 + 1 = 26
q = 2 means t = 25 + 2 = 27
q = 3 means t = 25 + 3 = 28
q = 8 means t = 25 + 8 = 33
NOW ASAP PLEASE NEED FAST ANSWERRRRRRRR
Let's take any 2 points from the line.
1. (-4,-2)
2. (-2,-7)
[tex]slope \\ = \frac{Δy}{Δx} \\ = \frac{y_{2} - y_1}{x_{2} - x_1} \\ = \frac{ 7 - ( - 2)}{ - 2 - ( - 4)} \\ = \frac{5}{2} \\ = 2 \frac{1}{2} \\ = 2.5[/tex]
Can someone pls help with this
here it is :)
do check properly, I have given step by step instructions:)
do give feedback on my answer, would appreciate it!
Answer:
900000
Step-by-step explanation:
[tex]30*10^{4}[/tex]
=3*10000
=30000
=30*30000
=900000
A music shop sold 25 50$ radios at a profit of 8% and 6 30$ radios at a loss of 15% how much was the profit or loss combined
Answer:
The profit or loss combined is $2.99
Step-by-step explanation:
Given;
cost price of first radio, CP = $25.50
profit percent, = 8%
The profit made is calculated as;
[tex]\frac{Profit}{CP} \times 100\% = \frac{SP-CP}{CP} \times 100\% = 8\%\\\\Profit = SP-CP = 0.08CP = 0.08\times \$25.50 = \$ 2.04[/tex]
Cost price of the second radio, CP = $6.30
loss percent = 15%
The loss incurred is calculated as;
[tex]\frac{Loss}{CP} \times 100\% = 15\%\\\\Loss = 0.15CP\\\\Loss = 0.15 \times \$6.30 = \$0.95[/tex]
The profit or loss combined = $2.04 + $0.95
= $2.99
Help anyone can help me do the question,I will mark brainlest.
Part (a)
The radius is r = 42 because OA = 42.
The circumference, aka distance around the circle, is
C = 2*pi*r
C = 2*(22/7)*42
C = 264
We're told that arc AB is 110 mm which is 110/264 = 5/12 of the full distance around the circle.
So we'll apply 5/12 to the full rotation 360 to get (5/12)*360 = 150
Answer: 150 degrees==============================================================
Part (b)
Compute the area of the full circle
A = pi*r^2
A = (22/7)*(42)^2
A = 5544
Then take 5/12 of this because we only want 5/12 of the full circle area (to get the area of the shaded pizza slice)
(5/12)*(5544) = 2310
Answer: 2310 square mm==============================================================
Side note: Both answers are approximate because pi = 22/7 is approximate.
Point S lies between points R and T on Line segment R T. A line contains points R, S, T. The space between R and S is 2 x. The space between S and T is 3 x. If RT is 10 centimeters long, what is ST?
Answer:
[tex]ST = 6cm[/tex]
Step-by-step explanation:
Given
[tex]RS =2x[/tex]
[tex]ST = 3x[/tex]
[tex]RT = 10[/tex]
Required
Find ST
From the question, we understand that S is between R and T.
So:
[tex]RS + ST = RT[/tex]
Substitute known values
[tex]2x + 3x = 10[/tex]
[tex]5x =10[/tex]
Divide both sides by 5
[tex]x =2[/tex]
Given that:
[tex]ST = 3x[/tex]
[tex]ST = 3 * 2[/tex]
[tex]ST = 6cm[/tex]
Answer:
C or 6 centimeters
Step-by-step explanation:
state the equation, in slope-intercept form of each of the following graph
Answer:
A) y=(1/4)x-1, 4y=x-4
B) y=-2x
Write and algebraic expression:
The tens digit of a number is b and the units digit is twice as big. What is the value of the number in terms of b if the digits are reversed?
Answer:
21b
Step-by-step explanation:
help pls due in 3hrs
9514 1404 393
Answer:
(-3, -2), (-2, -2), (-2, -3), (-3, -3)
Step-by-step explanation:
Dilation about the origin multiplies each coordinate value by the dilation factor. Here, every coordinate of the original image is multiplied by 1/2 to form the "enlargement." Since the scale factor is less than 1, the "enlarged" image will be smaller and closer to the origin.
The coordinates, clockwise from upper left, are ...
(-3, -2), (-2, -2), (-2, -3), (-3, -3)
You have two squares. The larger square has a side of 3 more than the smaller square. If the combined area of the two squares is 89 cm squared. What is the length of the smaller square.
A. 3
B. 5
C. 8
D. 10
Stephon makes the following statements: statement 1 lim x -3 f(x) exists and is equal to 1 statement 2 lim x 1 f(x) exists and is equal to 1
Neither statement 1, nor statement 2 are correct
The given Stephon's statements are;
Statement 1; [tex]\mathbf{\lim \limits _{x \to -3} f(x)} \ \mathbf{Exist} \ and \mathbf{\lim \limits _{x \to -3} f(x) = 1}[/tex]
Statement 2; [tex]\mathbf{\lim \limits _{x \to 1} f(x)} \ \mathbf{Exist} \ and \mathbf{\lim \limits _{x \to 1} f(x) = 1}[/tex]
The analysis of the graph and reason for the answer
From the graphed line on the left of the y-axis, we have an open circle at x = -3, and an arrow at the other end pointing towards negative infinity, (-∞) which indicates that the domain is -∞ ≤ x < -3, therefore, at x = -3, f(x) does not exist, therefore, we can write the following statement
The limits of the domain and range of the graph includes;
[tex]\mathbf{\lim \limits _{x \to -3} f(x)} = \mathbf{Does \ not \ exist}[/tex]
f(x) = Defined for -∞ ≤ x < -3
Similarly, from the graphed line on the right of the y-axis, we have an open circle at x = 1 and an arrow at the other end of the line f(x) = 4 pointing towards positive (+∞) infinity, which indicates the domain and the graph of the function is 1 < x ≤ ∞ , therefore, f(x) does not exist at x = 1, and we can write
[tex]\mathbf{\lim \limits _{x \to 1} f(x)} = \mathbf{Does \ not \ exist}[/tex]
From we above, we have that neither statement 1, nor statement 2 are correct
Learn more about open and closed circles on graph lines
https://brainly.com/question/8648835
Suppose that there were a strong correlation between the variables d & f. Which of there is a true statement
Answer:
d may cause f.
Step-by-step explanation:
Here are the options
d must not cause f.
f must cause d.
d must cause f.
d may cause f.
Correlation is a statistical measure used to measure the relationship that exists between two variables.
1. Positive correlation : it mean that the two variables move in the same direction. If one variable increases, the other variable also increases.
For example, there should be a positive correlation between quantity supplied and price
When there is a positive correlation, the graph of the variables is upward sloping
2. Negative correlation : it mean that the two variables move in different direction. If one variable increases, the other variable decreases.
For example, there should be a negative correlation between quantity demanded and price
When there is a negative correlation, the graph of the variables is downward sloping
3. Zero correlation : there is no relationship between the variables
Does Anybody Know The Answer?
Yes. When a graph has more than one line it is a piece wise graph.
PLEASE SOMEONE SOLVE B) I ALREADY KNOW 1. A) Is 75.875m^2
BRAINLIET TO THE FIRST.....AND PLZZ HURRY.....
What is the volume of the oblique cone? Round to the nearest tenth.
Formula for the volume of a cone: V = 1/3 x pi x r^2 x h
Since this is a right cone, the height is given as 8.5 and the radius is 4.
V = 1/3 x pi x 4^2 x 8.5
V = 1/3 x pi x 16 x 8.5
V = 1/3 x pi x 136
V = 45 1/3 pi
V = 142.4 cubic units
Hope this helps!
Answer:
142.4 units^3
Step-by-step explanation:
We use the same formula for volume as for a cone
V = 1/3 pi r^2 h
V = 1/3 pi (4)^2 ( 8.5)
= 1/3 pi (16)(8.5)
Letting pi = 3.14
=142.34666667
Rounding to the nearest tenth
= 142.4
If the absolute value of x is 12, which of the following is true?
X can be 12 or -12
X=12
X=-12
X is zero
Answer:
x= 12 or x = -12
Step-by-step explanation:
|x| means take the positive value of x
|x| =12
We make two equations one positive and one negative
x= 12 or x = -12
(PICTURE) Can someone please help me out Im reporting trolls. Marking brainliest
Answer:
smart dot company would be c=.50t+12
communication plus would be c=2.50t
Step-by-step explanation:
smart dot starts with $12 a month and adds $0.50 for each hour of internet use. communication plus has no starting fee so it just adds $2.50 for each hour of internet use.
So then for the table you would put the number given for time in for the letter t and find what c would be. This would then find your cost for that amount of hours. To get you started smart dot company starts off with 0 hours so put that in for t being c=0.50(0)+12 and c=12. Communication plus also starts with 0 so it would be c=2.50(0) and c=0
Then you graph once you have both values you can graph having x=time and y=cost
Let me know if this helps!
Cual de las siguientes expreciones permite a fatima obtener t que es la cantidad de palitos nesesaria para armar una figura n
Answer:
T(n) = 4 + 12*n
Step-by-step explanation:
La pregunta completa se puede ver en la imagen de abajo.
En ella, podemos ver que:
La primera figura tiene: 16 palitos
la segunda figura, con n = 2, se añaden 3 palitos en cada extremo, por lo que tendremos 16 palitos + 4*3 palitos = (16 + 12) palitos
De manera similar, en la tercera figura se vuelven a añadir 3 palitos en cada extremo de la cruz, entonces esta figura tendrá:
(16 + 12) palitos + 4*3 palitos = (16 + 12 + 12) palitos.
Así, tenemos la relación:
T(1) = 16
T(2) = 16 + 12
T(3) = 16 + 12 + 12
Podemos asumir que la forma general será:
T(n) = 16 + 12*(n - 1)
podemos reescribir esto como:
T(n) = (12 + 4) + 12*(n - 1)
= 4 + 12 + 12*(n - 1)
= 4 + 12*n
La opción correcta es la primera.
With explanation please thank you
Simplify (b9)3. See picture please
Answer:
b^27
Step-by-step explanation:
Answer:
A. b^27
You multiply 9x3 and you get 27 with the base "b"
Step-by-step explanation:
ASAP PLEASE HELP MEEEEEEEEEEEEEEEEE
Step-by-step explanation:
15) A new BMW decreases in value exponentially after it is purchased. If a new BMW is valued at $55,000 and
depreciate at a rate of 22% a year, what is the value after 4 years? After 8 years)
The values of BMW after 2, 4 and 8 years according to the EXPONENTIAL FUNCTION are $33,462, $20,358.28 and $7,535.63 respectively.
Using the parameters given, we define an decreasing exponential function :
[tex]A = A_{0} (1 - r)^{t}[/tex]
Where,
[tex]A_{0}[/tex] = initial amount ; r = Rate ; t = time ; A = final amount
Value after 2 years :
t = 2
A = 55000(1 - 0.22)²
A = 55000(0.78)²
A = $33,462
Value after 4 years :
t = 4
A = 55000(1 - 0.22)^4
A = 55000(0.78)^4
A = $20,358.28
Value after 8 years :
t = 4
A = 55000(1 - 0.22)^8
A = 55000(0.78)^8
A = $7,535.63
Therefore, the value of BMW after 2, 4 and 8 years are $33,462, $20,358.28 and $7,535.63 respectively.
Learn more about Exponential functions :
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Guys please help me solve this problem, yes I will mark brainliest
Given that the vertex is at (50, 1000), the max profit is $1000 when 50 items are produced
PLEASE HELP ITS TIMED
If x/3=5/6,
then x=
Step-by-step explanation:
x/3 = 5/6
cross multiply
6x=15
x=2.5
Answer:
x=5/2
Step-by-step explanation:
For the function p defined by p(m)=2m2−4m+3, find p(13).
A. 41/9
B. 17/9
C. 5
D. 1.8
Answer:
Here we have:
p(m) = 2m^2 - 4m + 3
And we want to find p(13)
This means that we just need to replace all the m's by the number 13 in the equation, so we get:
p(13) = 2*(m = 13)^2 - 4*(m = 13) + 3
p(13) = 2*(13)^2 - 4*13 + 3
= 338 - 52 + 3 = 289
You can see that none of the options matches this, so maybe the equation or some other part of the question is written incorrectly, but here you have at least the general way of solving these type of problems.
a) 61°
b) 29°
C) 40°
d) 50°
Answer:
29 degrees (~0.506 rad)
Are 5-x=y and x-5=y the same ?
Answer:
not really
Step-by-step explanation:
because on the first equation you subtract 5and take to y as a negative and in the second equation 5 goes as a positive at least that is what i think
Answer:
no cause
5-x=y
5 is positive , x is negative
BUT
x-5=y
5 is negative, and x is positive
You hit a tennis ball with an initial vertical velocity of of 10 ms The ball leaves the tennis racket 2 meters above the ground How much time does your opponent have before the ball hits the ground on the other side of the net
Answer:
1.02secs
Step-by-step explanation:
Using the equation of motion
v = u+at
Since the ball moves upward then:
a = -g
Substitute into the formula
v = u-gt
Given the following
Initial velocity u = 10m/s
Final velocity v = 0m/s (on the ground)
g = 9.8m/s²
Required
Time t
Substitute the given values into the formula
0 = 10-9.8t
-9.8t = -10
t = 10/9.8
t = 1.02secs
Hence your opponent have 1.02secs
