Answer:
x=37
Step-by-step explanation:
because
y=y
or as, 2x-12=x+22+3
or as, 2x-x=12+22+3
or as, x = 37
In ΔCDE, the measure of ∠E=90°, ED = 28, CE = 45, and DC = 53. What ratio represents the tangent of ∠C?
Answer:
3/5
Step-by-step explanation:
prependicular / hypotenuse
sin C=ED/CD
=3/5
For 12-15, find the missing measures
Answer:
12. d= 14, C=14π, A=49π
13. r= 13, d=26, A=169π
14. r=9, C=18π, A=81π
15. r=10, d=20, C=20π
Step-by-step explanation:
cone is inscribed in a cylinder. A square pyramid is inscribed in a rectangular prism. The cone and the pyramid have the same volume. Part of the volume of the cylinder, 1 V 1 , is not taken up by the cone. Part of the volume of the rectangular prism, 2 V 2 , is not taken up by the square pyramid. What is the relationship of these two volumes, 1 V 1 and 2 V 2 ?
Answer:
The answer is "[tex]v_1 \ and\ v_2[/tex] are equal".
Step-by-step explanation:
Its volume could be defined both by cone as well as the cylinders
[tex]\to \text{(base area)} \times \text{(solid height)} \times (\frac{1}{3})\\\\[/tex]
We are planning to write this as [tex]V = \frac{Bh}{3}[/tex]
When we relate this formula to the cylindrical and prism volume formula, we can see that when we multiply the cone volume by 3, the cylinder size where it is registered comes in. The very same goes for the pyramid as well as the inscription of the rectangular prism. That both pyramid and the cone have the same volume V, hence it would have the same volume of a cell and rectangle prism. [tex]v_1 \ and\ v_2[/tex] are so similar.
A water tower casts a 100-foot shadow. At the same time, an 8-foot stri
sign casts a shadow of 6 feet. What is the height of the towers?
Set up ratios of height / shadow length:
8/6 = x/100
Cross multiply
6x = 800
Divide both sides by 6
X = 133.33 feet
The tower is 133.3 feet
What is the measure of angle ABC?
Answer:
the answer is already in the question
D. 130°
D. 130
The diagram shows a rectangle. If the perimeter of the rectangle is 66 cm, what is the area of the rectangle?
Answer:
Step-by-step explanation:
Perimeter of the rectangle = P
Base = b
Height = h
Area = A
P = 2b + 2h
P = 66
STEP 1:
2(2x + 1) + 2(x + 5) = 66
Distribute
4x + 2 + 2x + 10 = 66
STEP 2:
Combine like terms and isolate the variable
6x + 12 = 66
6x = 54
x = 9
STEP 3:
Plug in x
A = (2(9) + 1) * (9 + 5)
STEP 4:
Simplify
A = (18 + 1) * (14)
A = (19)(14)
A = 266
[tex]\displaystyle\bf P=2(2x+1+x+5)=66\\\\6x+12=66\\\\6x=54\\\\\boxed{x=9}\\\\2x+1=19\\\\x+5=14 \\\\S=ab=14\cdot19=266 cm^2[/tex]
Luego de su cumpleaños, Benjamín ha decidido donar la tercera parte del dinero que recibió de regalo de sus familiares a una fundación. Considerando las variables cantidad de dinero recibido por Benjamín y cantidad de dinero que donará Benjamín. a. ¿Cuál es la variable dependiente en esta situación.
Answer:
The dependent variable is the amount of money he received for birthday.
Step-by-step explanation:
After his birthday, Benjamin has decided to donate a third of the money he received as a gift from his relatives to a foundation. Considering the variables amount of money received by Benjamin and amount of money that Benjamin will donate. to. What is the dependent variable in this situation.
Here, the money he received for the birthday is x.
So, he donated x/3.
The variable is the money which he gets, so the dependent variable is amount of money he received for the birthday.
Jayce travels 30 miles per hour in her car. How many miles does she travel in 4 hours?
Answer:
Step-by-step explanation:
Answer:
hello there
here is your answer:
120 miles
Step-by-step explanation:
because every 30 mile jayce drives is by 1 hour.
jayce travels for 4 hours so that 120 miles
also because you can mutiply 30*4=120
hope this helps have a good day bye
A statistics professor asked students in a class their ages. On the basis of this information, the professor states that the average age of all the students in the university is 24 years. This is an example of
Answer:
propbability ???
Step-bp explanation:
Answer:
Step-by-step explanation:
This is an example of a statistical mean.
Find the value of the following
Answer:
110.01 (aprox)
Step-by-step explanation:
x + (1/x) = 5
x(x + (1/x)) = x(5)
x*x + x*1/x = 5x
x² + 1 = 5x
x² - 5x + 1 = 0
x = {-(-5)±√((-5²) -(4*1*1))} / (2*1)
x = {5±√(25-4)} / 2
x = {5±√21} / 2
x = {5±4.5826} / 2
x₁ = {5-4.5826} / 2 = 0.4174/2 = 0.2087
x₂ = {5+4.5826) / 2 = 9.5826/2 = 4.7913
Comprobación:
x₁
0.2087 + 1/0.2087 = 5
0.2087 + 4.7913 = 5
x₂
4.7913 + 1/4.7913 = 5
4.7913 + 0.2087 = 5
Respuesta:
x₁
(0.2087)³ + 1/(0.2087)³ = 0.0091 + 1/0.0091 = 0.0091 + 110.0101 = 110.019
x₂
(4.7913)³ + 1(4.7913)³ = 110 + 1/110 = 110 + 0.01 = 110.01
find the area of the trapezoid. helppppopop thank you
Answer:
[tex]\frac{4}{3}\:\mathrm{cm^2}[/tex]
Step-by-step explanation:
The area of a trapezoid can be found by multiplying the average of its bases and its height.
We're given:
One base of 4 cmOne base of 12 cmHeight of 1/6 cmTo find the average of a set of [tex]n[/tex] values, add all the values in the set and divide by [tex]n[/tex]. Therefore, to find the average of the two bases, we add 4 to 12 and divide by 2.
The average of the bases is therefore [tex]\frac{4+12}{2}=\frac{16}{2}=8[/tex]
Thus, the area of the trapezoid is [tex]8\cdot \frac{1}{6}=\frac{8}{6}=\boxed{\frac{4}{3}\:\mathrm{cm^2}}[/tex]
Someone please help, this is the last question on my assignment, and I really need to get it right! I'll mark brainliest for the best answer ^-^
Answer:
x + 2
Step-by-step explanation:
im sure its the right answe
Five students and two teachers pose for a picture.in how many ways can they line up side by side for a picture. 2. In how many ways can they line up if they must have the teachers on both sides of the picture? 3.what is the probability that the two teachers occupy two of the three middle slots?
does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?
Given equation of the Circle is ,
[tex]\sf\implies x^2 + y^2 = 25 [/tex]
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]
Here we can see that the distance of point from centre is less than the radius.
Hence the point lies within the circle .
Answer:
these points lie INSIDE THE CIRCLE
Hope it helps
have a nice day
Find the area of the parallelogram. If necessary, round to the nearest whole number.
6 in
5 in
8 in
Answer:
40
Step-by-step explanation:
A = base x height
8 is base
5 is height (the height has to be perpendicular to the base. That's what the little square denotes. Along with the angle being 90°.
A = 8 x 5
A = 40
Given the original statement "If a number is negative, the additive inverse is positive," which are true? Select
three options
Olf p = a number is negative and q = the additive inverse is positive, the original statement is p - 9.
Olf p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is
---
Olf p = a number is negative and q = the additive inverse is positive, the converse of the original statement is
-9 - p.
Olf q = a number is negative and p = the additive inverse is positive, the contrapositive of the original
statement is pr9
If q = a number is negative and p = the additive inverse is positive, the converse of the original statement
is 9 - P.
no
Answer:
1,2.
Step-by-step explanation:
.
-6x=48-6y
-4x=50-6y
HELP PLZZZ
Answer:
[tex]x=1,\\y=9[/tex]
Step-by-step explanation:
When solving a system of equations, one of the faster methods to solve this system is the process of elimination. This process involves manipulating one of the equations (by multiplying it by a certain value), such that when one adds the two equations in the system, one of the variables cancels. One can then solve for the other variable in the system. Then backsolve for the other variable; by substituting the value of the found variable into the system, simplifying and using inverse operations to solve for the other variable.
[tex]-6x=48-6y\\\\-4x=50-6y[/tex]
Manipulate, multiply one of the equations by a certain value such that the coefficient of the like term in the other equation is the additive inverse of it.
[tex](-6x=48-6y)*(-1)\\\\-4x=50-6y[/tex]
Simplify,
[tex]6x=-48+6y\\\\-4x=50-6y[/tex]
Add the equations in the system,
[tex]6x=-48+6y\\\\-4x=50-6y[/tex]
[tex](6x)+(-4x)=(-48)+(50)+(6y)+(-6y)[/tex]
Simplify,
[tex](6x)+(-4x)=(-48)+(50)+(6y)+(-6y)[/tex]
[tex]2x=2[/tex]
Inverse operations,
[tex]2x=2[/tex]
[tex]x=1[/tex]
Backsolve to find the value of (y).
[tex]-4x=50-6y[/tex]
[tex]x=1[/tex]
Substitute,
[tex]-4(1)=50-6y[/tex]
Simplify,
[tex]-4=50-6y[/tex]
Inverse operations,
[tex]-4=50-6y[/tex]
[tex]-54=-6y[/tex]
[tex]9=y[/tex]
The transformation from the function ƒ(x) = 3x to the function ƒ(x) = 3x + 4 indicates:
Answer:
Moving 4 to the right on the x axis
please help so I can watch Coop and Cami ask the world
Step-by-step explanation:
Simple interest=principal x rate x time÷100
amount borrowed=$500
I=$500x7x6÷100
I=$210
therefore you will pay
amount borrowed+interest
$500+$210
$710
hope this is helpful
Helppppp and explain pls and thankyouuu
Answer:
x=1
y= -1
z=2
Step-by-step explanation:
x+y+z=2 and x-y-2z=6
if z=2 then
x+y+2=2 and x-y+4=6
and these become
x+y=0 and x-y=2
usign linear cancellation method we get
2x=2
dividing both sides by 2 we get
x=1
then going back to one of the original equations and plugging x=1 and z=2 we get
1+y+2=2
solving for y we get
y= -1
PLEASE HELP!!! Urgent. Will mark as brainliest
Answer:
Step-by-step explanation:
m∠2 = [tex]\frac{1}{2}[/tex](55+41)
m∠2 = [tex]\frac{1}{2}[/tex](96)
m∠2 =48°
m∠1 = 180-48 = 132°
What is the square root of 538?
Answer:
23.1948270095
Step-by-step explanation:
Help please I don’t understand
Answer:
you need to solve for 'X'
mean 49 = 55 + 42 + 32 +48 + 55 + X
49 = (232+X) / 6
49 * 6 = 232 + X
294 = 232 + X
294 - 232 = X
62 = X
so therefore X is 62
Step-by-step explanation:
please give me a brainliest
all of the following equations are equivalent except? -5 (x - 1 ), -5x + 5, 5 - 5x, (5-5) x
Write the equation of the line (in y = ax+b form) in the
graph below. do not use any spaces when typing your
answer
Answer:
y=3x-8
Step-by-step explanation:
plz tell the answers in the correct order
Answer:
a) 120°
Step-by-step explanation:
i think this is the right answer
i need help in this question that is in the photo
the lowest common multiple of two numbers is 91 and the sum of the rwo numbers is 20, what are the two numbers
Answer:
7 and 13
Step-by-step explanation:
The multiples of 91 are
1, 7, 13, and 91
Only 7 and 13 make 20
Answer:
Explanation
7x13
7x13=91
7+13=20
A bag contains 6 black tiles, 5 white tiles, and 4 blue tiles. Event A is defined as drawing a white tile from the bag on the first draw, and event B is defined as drawing a black tile on the second draw. If two tiles are drawn from the bag, one after the other without replacement, what is P(A and B) expressed in simplest form? A. 4/45 B. 1/7 C. 4/15 D. 5/14
Answer:
5/14
Step-by-step explanation:
There are 15 tiles in total
5 white| 6 black | 4 blue
event A results in the subject pulling a white tile and not replacing it
5-1= 4
so the first answer should be 4/15
event B results in the subject pulling another tile, a black one and not replacing it.
6-1= 5
given this answer, there is one less tile in the total, since we removed another tile.
So our answer would be-
5/14 or D
What is the value of tan in the unit circle below?
What is the value of tan in the unit circle below?
Answer:-The value of tan in the unit circle below is
[tex] \frac{ \sqrt{3} }{2} [/tex]
Note:- Please attach the full question next time.
