what is the value of X=?
Write your answer in the box below.
X= _____
Answer:
39
Step-by-step explanation:
Answer:
39 degrees
Step-by-step explanation:
by the triangle angle sum theorem, the 3 angles of triangles must add up to 180 degrees.
Therefore, 102 degrees + 39 degrees + x = 180 degrees
141 degrees + x = 180 degrees
x = 39 degrees
Help plzz
h=8/7 (28)+92/4
Answer:
h = 55
Step-by-step explanation:
Solve for h by simplifying both sides of the equation, then isolating the variable.
Answer:
h=55
Step-by-step explanation:
I took the test and got it right
Use a triple integral to find the volume of the tetrahedron T bounded by the planes x+2y+z=2, x=2y, x=0 and z=0
Answer:
Volume of the Tetrahedron T =[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
As given, The tetrahedron T is bounded by the planes x + 2y + z = 2, x = 2y, x = 0, and z = 0
We have,
z = 0 and x + 2y + z = 2
⇒ z = 2 - x - 2y
∴ The limits of z are :
0 ≤ z ≤ 2 - x - 2y
Now, in the xy- plane , the equations becomes
x + 2y = 2 , x = 2y , x = 0 ( As in xy- plane , z = 0)
Firstly , we find the intersection between the lines x = 2y and x + 2y = 2
∴ we get
2y + 2y = 2
⇒4y = 2
⇒y = [tex]\frac{2}{4} = \frac{1}{2}[/tex] = 0.5
⇒x = 2([tex]\frac{1}{2}[/tex]) = 1
So, the intersection point is ( 1, 0.5)
As we have x = 0 and x = 1
∴ The limits of x are :
0 ≤ x ≤ 1
Also,
x = 2y
⇒y = [tex]\frac{x}{2}[/tex]
and x + 2y = 2
⇒2y = 2 - x
⇒y = 1 - [tex]\frac{x}{2}[/tex]
∴ The limits of y are :
[tex]\frac{x}{2}[/tex] ≤ y ≤ 1 - [tex]\frac{x}{2}[/tex]
So, we get
Volume = [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}\int\limits^{2-x-2y}_{z=0} {dz} \, dy \, dx[/tex]
= [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}{[z]}\limits^{2-x-2y}_0 {} \, \, dy \, dx[/tex]
= [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}{(2-x-2y)} \, \, dy \, dx[/tex]
= [tex]\int\limits^1_0 {[2y-xy-y^{2} ]}\limits^{1-\frac{x}{2}} _{\frac{x}{2} } {} \, \, dx[/tex]
= [tex]\int\limits^1_0 {[2(1-\frac{x}{2} - \frac{x}{2}) -x(1-\frac{x}{2} - \frac{x}{2}) -(1-\frac{x}{2}) ^{2} + (\frac{x}{2} )^{2} ] {} \, \, dx[/tex]
= [tex]\int\limits^1_0 {(1 - 2x + x^{2} )} \, \, dx[/tex]
= [tex]{(x - x^{2} + \frac{x^{3}}{3} )}\limits^1_0[/tex]
= 1 - 1² + [tex]\frac{1^{3} }{3}[/tex] - 0 + 0 - 0
= 1 - 1 + [tex]\frac{1 }{3}[/tex] = [tex]\frac{1}{3}[/tex]
So, we get
Volume =[tex]\frac{1}{3}[/tex]
The volume of Tetrahedron will be [tex]\frac{1}{3}[/tex] units.
Given,
The tetrahedron T is bounded by the planes,
[tex]x+2y+z=2......(1)\\ x=2y....(2)\\ x=0......(3) \\ z=0.....(4)[/tex]
From equation (1),
[tex]z=2-x-2y[/tex]
So the limits of z will be from 0 to [tex]2-x-2y[/tex].
Now, from equation (2),
[tex]y=\frac{x}{2}[/tex]
and from equation (1), putting z=0 we get,
[tex]x+2y=2\\y=1-\frac{x}{2}[/tex]
So the limits of y will be from [tex]\frac{x}{2}[/tex] to [tex]1-\frac{x}{2}[/tex].
On solving equation (1), for x we get
[tex]x+x+0=2[/tex] [tex](x=2y \ and \ z=0 )[/tex]
[tex]x=1[/tex].
So the limits of x will be from 0 to 1.
The volume of tetrahedron will be,
[tex]V=\int\limits^1_0 \, dx \int\limits^{1-\frac{x}{2} }_{\frac{x}{2} } \, dy \int\limits^{2-x-2y}_0 \, dz[/tex]
[tex]V=\int\limits^1_0 \, dx \int\limits^{1-\frac{x}{2} }_{\frac{x}{2} } \, dy [2-x-2y-0][/tex]
[tex]V=\int\limits^1_0 \, dx (1-2x+x^2)\\[/tex]
[tex]V=1-1+\frac{1}{3}[/tex]
[tex]V=\dfrac{1}{3}[/tex]
Hence the volume of tetrahedron is [tex]\frac{1}{3}[/tex] units.
For more details on Triple integration follow the link:
https://brainly.com/question/12632797
4y=x+8 pls answer hurry up pls
Answer:
x=-8
y=2
Step-by-step explanation:
5х2 – 5х
Combine like terms
Answer:
if the x in the first number is a multiplication sign, then heres the answer:
10 - 5x
Step-by-step explanation:
(5,3), m=7
Write the equation given the point and slope.
Answer:
7x-32
Step-by-step explanation:
y-y1 = m(x-x1)
y-3 = 7(x-5)
y-3 = 7x-35
y=7x-35+3
y=7x-32
Geometry- which statement is true
Answer:
its the 3rd one ab and cd
An athletics club has junior
(i.e. boy or girl) members and adult members.
The ratio of girls to boys to adults is 3:4:9
and there are 16 more adult members than
junior members. In total, how many members
does the club have
Answer:
The total number of members are 128 members
Step-by-step explanation:
From the question, mixing the ratio of children to adult, we have ;
7:9
There are 16 more adult members
So if there are x children, then there are 16 + x adults
Thus, the total number of members will be;
16 + x + x = 2x + 16
Now, we have that;
7/16 * (2x + 16) = x
7(2x + 16) = 16x
14x + 112 = 16x
16x-14x = 112
2x = 112
x = 112/2
x = 56
The total number of members is thus;
2(56) + 16 = 128
-x + 7y = 8 if x equals 6
Answer:
y=2
Step-by-step explanation:
-6+7y=8
7y=8+6
7y=14
y=2
Gift boxes at Walgreens are sold in packs of 8, and cost $6.00. At CVS, the price for a 10 pack of gift boxes is $9.00. Determine which store offers a better bargain based on the price per box. Type the name of the store on the line.
Answer:
CVS
Step-by-step explanation:
i am pretty sure
Please help with this question
Answer:
-16
Step-by-step explanation:
becjv dfv igcicifcigxixixicocvicicirxc ou9 xexiixi xiexexuwuzwxit
Answer:
I would say 57 is the answer
Step-by-step explanation:
Which set of numbers forms a right triangle?
A. 3,4,5
B. 5, 9, 13
C. 7, 7, 12
D. 8, 15, 20

Answer:
C
Step-by-step explanation:
If you think about it hard enough, and look at it real hard, you can see. Think of like a capital L. 7 tall and 7 wide. I'm not sure but thats what I think.
Graph the inequality X+6y<6
Answer:
can i see the picture?
The pizza store is having a 30% off sale on all of its pizzas. If the pizza you want
regularly costs $14, how much would you save with the discount?
which of the following numbers is irrational
Answer:
E
Step-by-step explanation:
Irrational means cannot be put into a fraction. Or random repeating decimals is how I remember it.
√48 can be simplified to equal 4√3. √3 cannot be put into fraction form.
Mariana wears her winter coat when the temperature is colder than -4 degrees Celsius
Answer:
It is very cool that Mariana wears her winter coat when the temperature is colder than -4 degrees Celsius
that means when it is 10 degrees Celsius, she won't wear her winter coat
The volume of a cube is 96 cubic millimeters. What is the length of each edge of the cube?
Answer:
V= a³ => 96 = a³ => a= ∛96 =2∛12
The length of each edge of the cube : C : 2∛12
Step-by-step explanation:
at a concession stand three hotdogs in for hamburgers cost $13.50 for hotdogs and three hamburgers cost $12.75 find the cost of one hotdog and find the cost of one hamburger
A species of endangered tigers has a population in 2020 of about 900, and that number is expected to
decline by about 4% each year. If this rate continues, what would we predict the tiger population to be in
2039?
14 is 33 1/2% of what number?
Answer:
41.79
Step-by-step explanation:
c = 14 * 100/33.5 = 1400/33.5 = 2800/67
= 41.79104
Solve the system of equations -4x-2y=30−4x−2y=30 and -x+y=6−x+y=6 by combining the equations.elimination
Answer:
215.00
Step-by-step explanation:
PLEASE HELPPPPP!!!
There is a line that includes the point (–4, 2) and has a slope of 1/4 .What is its equation in slope-intercept form?
Step-by-step explanation:
Slope-intercept form: y = mx + c
We have m = 1/4. Since it passes through the
point (-4, 2), => When x = -4, y = 2.
=> (2) = (1/4)(-4) + c, 2 = c - 1, c = 3.
Hence the equation is y = x/4 + 3.
Answer:
Y = 1/4x + 3
Step-by-step explanation:
What is the value of j?
___°
34 degrees.
If you want to find how much an angle is, first check the original line (aka base). Then (only if the line is a 180 degree line) subtract whatever value is shown (in this case it was 146 degrees so what you would do is subtract 146 from 180 and you would have your answer).
Hope this helps.
-Northstar
What is the solution of each equation?
a
no solution
b
infinitely many solutions
c
8
d
-8
Answer:
b
Step-by-step explanation:
2(h-8)-h=h-16
step 1 distribute 2 to whats in the parenthesis
2h-16-h=h-16
step 2 combine like terms
h-16=h-16
add 16 to each side
h=h
subtract h from each side
0=0
this would have an infinite amount of solutions
Drag the point on the coordinate plane to the solution of the system of equations shown below: y=-2x-1 y = x + 2
Answer:
(1,-1)
Step-by-step explanation:
-2x-1 = x+2
-3x = 3
x = -1
substitute
y = (-1) + 2
y = 1
point: (1,-1)
Can someone tell me a good definition for “Annuity” please?
Answer:
an annuity is a type of retirement income product that you buy with some or all of your pension pot. it pays a regular retirement income either for life or for a set period. (hope this is a decent answer lol)
Step-by-step explanation:
Answer:
An annuity is a contract between you and an insurance company in which you make a lump-sum payment or series of payments and, in return, receive regular disbursements, beginning either immediately or at some point in the future.
Step-by-step explanation:
If you use 20 cups of flour, how many teaspoons of vanilla should you use? *
Answer:
1/16
Step-by-step explanation:
You should use 1/16 teaspoons of vanilla for the 20 cups of flour that u used
A bank loans a customer $75,000 for a period of 12 years. The simple interest rate of the loan is 8.2%. What is the total (loan plus interest) amount that the customer will need to pay the bank over the 12 years?
If $1000 is invested now with simple interest of 8% per year. ... Find the total amount on deposit at the end of 4 years if the interest is: ... e) compounded monthly, n =12: A = 5000(1 + 0.06/12)(12)(4) = 5000(1.005)(48) = $6352.44 ... When a bank offers you an annual interest rate of 6% compounded continuously,
What is the 27th term in this arithmetic sequence 59, 56, 53, 50, ...
Answer:
2
Step-by-step explanation:
All u need to do, is subtract 3, until u get to the 20th sequence.
59, 56, 53, 50, 47, 44, 41, 38, 35, 32, 29, 26, 23, 20, 17, 14, 11, 8, 5, 2
Solving for the missing side of the triangle , please help
Answer:
C=78
Step-by-step explanation:
first add 72 and 30 you get 102 then subrtract 102 from 180 and youll get your answer of 78