Answer:
x = 4
Step-by-step explanation:
-2 ( x+2)=-12
-2x - 4 = -12
-2x = -8
x = 4
If AT = 12 and KN = 18, find OB.
Answer:
15
Step-by-step explanation:
There is a formula for this it is,
B1+B2/2
B1= Base one or TA in this case
B2= Base two or NK in this case
You replace the values with the variable:
B1=12
B2=18
12+18/2 = 30/2= 15
OB=15
The midsegment of the trapezium OB is 15
Mid segment of a trapezium:The midsegment of a trapezoid is parallel to each base, and its length is one-half the sum of the lengths of the bases.
OB = mid segment
Therefore, mathematically,
OB = 1 / 2 (AT + KN)
where
AT = 12
KN = 18
Therefore,
OB = 1 / 2(12 + 18)
OB = 30 / 2
OB = 15
learn more on mid segment here: https://brainly.com/question/4915062
If 4, 6 and 8 and 14, 21, and x are the lengths of the corresponding sides of two similar triangles, what is the value of x
maggie has a rectangular box with a length of 6 1/2 of 9 inches and hieght of 3 1/2 inches
what is the volume of the box
V = & x w x h
V = 6 1/2 x 9 x 3 1/2
V = 204 3/4
So answer is 204 3
4
At present 1 Euro can be bought at Rs 130. If Nepali money is revaluated by 10% then what is
the cost of 50 Euro ?
Answer:
130-(130×0.1)
117
if 1e=177
then 50e=5850
A school has 2000 students a survey finds that 36 students out of a random sample of 80 student's are bilingual the margin of error for the survey is +4% find the interval in which the total number of bih Guam students is most likely to lie
Answer:
(820 ; 980)
Step-by-step explanation:
Given :
Sample size, n = 80
Number of bilingual from sample = 36
Sample proportion, phat = x / n = 36 / 80 = 0.45
Margin of Error = 4% = 0.04
Interval = sample proportion ± margin of error
0.45 ± 0.04
(0.41 ; 0.49)
(0.41 * 2000 ; 0.49 * 2000)
(820 ; 980)
The equations y+x^2+6x+8 and y =(x+2) (x+4) both define the same quadratic function. Without graphing, identify the x- and y-intercepts of the graph. Explain how you know.
please help!
Answer:
we get the
x-intercepts setting y=0 and the in the equation
y-intercept setting x=0 in the equation.
Step-by-step explanation:
x-intercepts( y=0)
[tex]0=x^2+6x+8=(x+2)(x+4)[/tex]
Hence x=-2 and x=-4 ( We got two x-intercepts)
y-intercept( x=0)
[tex]y=0^2+6(0)+8=8[/tex].
the y intercept is y=8 ( only is possible to find no more thant one).
Answer:
x-intercept=
x=-2
x=-4
y-intercept=
y=8
Step-by-step explanation:
0(y)=(x+2) (x+4)
so we had to substract it to get 0. therefore x intercept is that
y+x^2+6x+8
ax^2+bx+c
c is always y intercept
help me with this please
Answer:
1)
17/20 will have the same value as 1D.
To get this
given D=1
Substitute that into the equation..
you have
E=17/20
To verify this... input E=17/20 into the original equation to see if you will get 1D
17/20 =17/20D
Multiply through by 20/17
You'll have D=1.
So
17/20E will have the same value as 1U.S dollar.
2)
20/17US dollar will Equal 1E.
Solving arithmetically
Given E=1.
Find D subject
your have
D=20E/17
E=1
D=20/17
To verify this answer
substitute D=20/17 and see if you'll get 1E
E=17/20D
E=17/20 x 20/17
E=1.
Conclusion
20/17D will have the same value as 1E
Making
You have 3 cups of raisins. A recipe calls for 2/3 cup of raisins per serving. How many full servings can you make?
Answer:
4
Step-by-step explanation:
Add 2/3 until the number is 3 or more than 3.
2 servings: 2/3 + 2/3 = 4/3
3 servings: 4/3 + 2/3 =6/3 = 2
4 servings: 2 + 2/3 = 2 and 2/3
5 servings: 2 and 2/3 + 2/3 = 2 and 4/3
4/3 is greater than 1, so 2 and 4/3 is more than 3. That means you can only make 4 servings with 3 cups of raisings.
A dog park is being built and needs to be fenced. The dimensions of the park will be 18.5 feet by 30.25 feet. How much fencing material will be needed to fence the entire park? Disregard gates or any other complication.
Answer:
97.5
Step-by-step explanation:
In my eyes I think we are talking about perimeter...
So then we would have to add up all the sides giving us the result.
30.25+30.25+18.5+18.5 = 97.5
And I am terribly sorry if it was incorrect I feel like i messed up on the "Disregard" part.. Anyways
Hope this helps! :)
Find the area of the polygon with vertices P(5,-1), Q(-1,-4), R(-3,1), and S(0,3). If necessary, round
to the nearest tenth.
Answer:
14.3 sq units
Step-by-step explanation:
this shape is a trapezoid so we need to find height and each parallel base
to find height we can take the midpoint of RS and the midpoint of QP and then find the distance between each midpoint
midpoint of RS = (-3/2,2)
midpoint of QP = (2,-5/2)
distance between the two is 16/2 or 8
d(RS) = √2²+3² = [tex]\sqrt{13}[/tex]
d(QP) = √3²+6² = √45 = [tex]\sqrt{9}[/tex][tex]\sqrt{5}[/tex] or 3[tex]\sqrt{5}[/tex]
put values into the formula for area:
A = 1/2(8) + ([tex]\sqrt{13}[/tex] + 3[tex]\sqrt{5}[/tex])
A = 4 + ([tex]\sqrt{13}[/tex] + 3[tex]\sqrt{5}[/tex])
A ≈ 14.3
help!!!!!!!!!!!!!!!!!
-3.5, -3, -2 1/2, -2, 2.5
Answer:
-3.5, -3, -2½, -2, 2.5
Step-by-step explanation:
hope you have a great day!
What is the surface area of the pyramid?
Answer:
166 square units
Step-by-step explanation:
Let’s find the area of the shapes that in the net.
First, we can see two of the triangles have a base of 2 and a height of 13. The formula for surface area of a triangle is bh÷2. (13x2)÷2=13. Since there are two triangles, we multiply 13 by 2 and get 26.
Second, we can see two of the triangles have a base of 10 and a height of 12. (10x12)÷2=60. Since there are two triangles, we multiply 60 by 2 and get 120.
Third, we can see a rectangle has a base of 10 and a height of 2. The formula for surface area of a rectangle is bh. 10x2=20.
Last, we add up all the areas:
20+120+26=166.
Solve the following inequality using both the graphical and algebraic approach: 0.5 x + 3 greater-than-or-equal-to 2 x minus 1.5 Graph A On a coordinate plane, a line goes through (0, 2) and (4, 4). Another line goes through (0, 0) and (2, 6). The lines intersect at (1, 1.5). Graph B On a coordinate plane, a line goes through (0, 3) and (4, 4). Another line goes through (1, 0) and (4, 6). The lines intersect at (3, 4). a. x greater-than-or-equal-to 3 Graph A b. x less-than-or-equal-to 3 Graph A c. x greater-than-or-equal-to 3 Graph B d. x less-than-or-equal-to 3 Graph B
Answer:
d. x les-than-or-equal-to 3 Graph B
Graph B expressed as follows; The graph on the coordinate plane, a line goes through (0, 3) and (4, 5). Another line goes through (1, 0.5), and (4, 6.5). The lines intersect at (3, 4.5)
Step-by-step explanation:
The given inequality is expressed as follows;
0.5·x + 3 ≥ 2·x - 1.5
Let y₁ = 0.5·x + 3, and y₂ = 2·x - 1.5, we get;
For x = -1, 0, 1, 2, 3, 4, 5, 6
y₁ = 2.5, 3, 3.5, 4, 4.5, 5, 5.5, 6
y₂ = -3.5, -1.5, 0.5, 2.5, 4.5, 6.5, 8.5, 10.5
From the given data, the lines intersect at (3, 4.5)
The graph on the coordinate plane, a line goes through (0, 3) and (4, 5). Another line goes through (1, 0.5), and (4, 6.5). The lines intersect at (3, 4.5)
Please find attached the required inequality created with MS Excel
Therefore, we have;
3 + 1.5 ≥ 2·x - 0.5·x
4.5 ≥ 1.5·x
∴ 3 ≥ x
x ≤ 3
Therefore, with (typographical) correction, the best option is x les-than-or-equal-to 3 Graph B
Answer:
D
Step-by-step explanation:just took the test
Can you please help me with this problem
Answer: what’s the problem
Step-by-step explanation:
with what problem there isn't one posted
Given that y varies indirectly as x and that x = 15 when y = 3, then the value of k is
Answer:
Step-by-step explanation:
the equation of this function has the form y = k/x, and when x = 15 and y = 3, the value of k can be calculated as follows:
3 = k/15, or (by multiplying both sides by 15) k = 45
Then y = 45/x
A triangle has a height that is 4 inches shorter than its base. If its area is 30 square inches, find the base and height
Answer:
120
Step-by-step explanation:
you are multiping you are trying to get the number of the base
Find the volume of a right circular cone that has a height of 3.9 in and a base with a radius of 14.3 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
Step-by-step explanation:
radius r = 3.9 in
height h = 14.3 in
slant height s = 14.822280526289 in
volume V = 227.76860897791 in3
lateral surface area L = 181.60571368226 in2
base surface area B = 47.783624261101 in2
total surface area A = 229.38933794336 in2
In Terms of Pi π
volume V = 72.501 π in3
lateral surface area L = 57.806894052526 π in2
base surface area B = 15.21 π in2
total surface area A = 73.016894052526 π in2
Find the percent decrease.
Last year I sent out 120 invitations to a summer party
and this year I only sent out 90 invitations.
Answer:
120=100%
90=x
x=100%×90/120
x=75%
%decrease=100%-75%=25%
PLZ HELP ASAP!!
I got the quadrant part I just need help with 0ther parts
Answer:
Step-by-step explanation:
The X intercept is 1 and the y-intercept is 1 aswell.
Answer:
x intercept: 1
y intercept: 1
Step-by-step explanation:
also, where u wrote quad: IIII, four in roman numerals in IV not IIII
Plz, help me with this question!
Answer:
O A. 8
Step-by-step explanation:
the line is 180, so subtract 140 to get 5x. 5x = 40 so divide by 5
180 - 140 = 5x
40 = 5x
/5 /5
8 = x
Answer: X=8
Step-by-step explanation:
it is a 180 degree angle total.
180=5x+140
subtract 140 from both sides
40=5x
divide by 5 on both sides
8=x
Which set of ordered pairs represents y as a function of x?
Please answer my question
A. {(2,2), (3,3), (2,4), (5,5)}
B. {(−1,−2), (−2,−1), (−2,7), (−4,8)}
C. {(−1,6), (4,3), (1,1), (−3,4)}
D. {(0,1), (2,1), (3,1), (0,2)}
Answer:
C.
Step-by-step explanation:
The set of ordered pairs can only be a function if the x value is not repeated .Thus,only C is a function as the x values (-1,4,1,-3) are unique while the other options have a repetition of its certain x values.
I hope ive helped
Mr. cole is shopping around to find a new gym. Fitness Extreme charges a flat fee of $30 plus $6 per session. Lift for Life charges a flat fee of $50 plus $2 per session. After how many sessions will the two gyms have the same cost?
Answer:
87$
Step-by-step explanation:
Please help with this question
Answer:the image is not noticeable
Step-by-step explanation:
PLEASE HELP I DON'T GET IT, MATH
Answer:
can any of u pls help me abt would u evër reach the end of the earth and y pls
Rochelle deposits $5,000 in an IRA. What will be the value (in dollars) of her investment in 15 years if the investment is earning 7% per year and is compounded continuously? (Simplify your answer completely. Round your answer to the nearest cent.)
Answer:
$80.438.11
Step-by-step explanation:
the formula for calculating future value when there is continuous compounding is : A x e^r x N A= amount e = 2.7182818 N = number of years r = interest rate
$5,000 x (2.7182818 ^0.07) x 15 = $80.438.11
is this a right triangle 8,12,15
Answer:
I don't think so
Step-by-step explanation:
[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]
If you insert your lengths, [tex]8^{2}[/tex]+[tex]12^{2}[/tex] does not equal [tex]15^{2}[/tex]
x^2 +3x+37=0 Help solve
Answer: x =(3-√157)/2=-4.765
x =(3+√157)/2= 7.765
Step-by-step explanation:
what can 16 and 4 both be divided by
Answer:
4
Step-by-step explanation:
they can both be divided by 4
Which expression is equivalent to (3/4n + 8n + 1/4n - 12)
Answer:
2n - 8 is your answer
Step-by-step explanation:
Some fireworks are fired vertically into the air from the ground at an initial speed of 80 feet per second. The equation for this object's height h(t) at time t seconds after launch is h(t) = -16t2 + 80t. a. Find the vertex. Explain what this means in the context of the situation
Answer:
Vertex (-2.5,-300)
Step-by-step explanation:
We are given with h(t)=-16 t^2 +80 t. We are asked to find the vertex.
X-coordinate of vertex =[tex]\frac{-b}{2a}[/tex]
Where 'a' is coefficient of [tex]t^{2}[/tex] term
'b' is coefficient of 't' term.
From given function, a= -16
b=80
So,
x-coordinate of vertex =[tex]\frac{-80}{2(-16)}[/tex]
=-2.5
y-coordinate of vertex =[tex]-16(-2.5)^{2} +80(-2.5)[/tex]
Simplify it,
=-100 -200
= -300
So, vertex is at (-2.5, -300).