Answer:
15 units
Step-by-step explanation:
The terms of an odd integer are given by 2n - 1. Since the sides of the triangle are three consecutive odd integers, let them be 2n - 1, 2(n + 1) - 1 and 2(n + 2) - 1 respectively, where 2n - 1 is the shortest side
Let P = perimeter of triangle = 2n - 1 + 2(n + 1) - 1 + 2(n + 2) - 1
= 2n - 1 + 2n + 2 - 1 + 2n + 4 - 1
= 2n - 1 + 2n + 1 + 2n + 3
= 2n + 2n + 2n - 1 + 1 + 3
= 6n + 3
Since the shortest side is 20% of the perimeter of the triangle, we have that
2n - 1 = 20%(6n + 3)
2n - 1 = 0.2(6n + 3)
expanding the bracket, we have
2n - 1 = 1.2n + 0.6
subtracting -1.2n and adding +1 to both sides, we have
2n - 1.2n = 1 + 0.6
0.8n = 1.6
dividing both sides by 0.8, we have
n = 1.6/0.8
n = 2
Since P = 6n + 3, substituting n = 2, we have
P = 6(2) + 3 = 12 + 3 = 15 units
2. FGH ~ TUV. Angle F measures 90°, angle G measures 30°,
and angle H measures 60°. What is the measure of angle U?
I will give Brainliest stars and thx to the first right answer
Answer:
<U = 30
Step-by-step explanation:
Since the triangles are similar
<F = <T
<G = <U
< H = <V
We are told that <G = 30 so < U = 30
Answer:
30°
Step-by-step explanation:
∠G corresponds to ∠U
if ∠G is 30° then so is ∠U
1 1/4 in the whole number?
Answer:
2.75
Step-by-step explanation:
Please help me find the median to this table
Answer:
The median is 19.45
Step-by-step explanation:
Organize the numbers from least to greatest
16.3, 17.8, 17.8, 18.0, 18.7, 19.3, 19.6, 20.1, 20.5, 21.9, 25.2, 25.4
Find the middle of the set of numbers
19.3 and 19.6
Add 9.3 and 19.6
19.3 + 19.6=
38.9
Divide by 2
38.9/2
Which is 19.45
Hope this helps
solve 56,254+7+1,243+205
Answer:
57709
Step-by-step explanation:
All polygons are quadrilaterals.
#
Choice
A.
True
B.
False
Explain why
Answer: B. False
Step-by-step explanation:
A polygon is a closed figure whose sides are all line segments. A Polygon cannot have curved sides. And Quadrilaterals have four sides closed . all quadrilaterals are polygon but all polygons are not quadrilateral.
Consider the graph y = 2x2 + 7x + 6.
a) The graph of this equation is called a parabola. Does this parabola open
upward or downward? How do you know?
b) What is the y-intercept? How do you know?
c) Find the x-intercepts. Show relevant process.
Answer:
a) Parabola opens up
b) 6
c) -3/2 and -2
Step-by-step explanation:
a) The general form of a parabolic graph is;
y = ax^2 + bx + c
if a is positive, it faces up, if negative, it opens down
Since a = 2 here, it is positive and thus the parabola faces or opens up
b) The y-intercept is simply the c term
the value here is 6
The y intercept is obtained when the x value is zero
So by simply setting the x value to zero, we can easily get the y value since x is zero at that point
c) The x-intercepts refer to the roots of the equation
By solving the quadratic equation i.e substituting 0 for y, we can get the two x values as follows;
2x^2 + 7x + 6 = 0
2x^2 + 4x + 3x + 6 = 0
2x(x + 2) + 3(x + 2) = 0
(2x + 3)(x + 2) = 0
2x + 3 = 0 or x + 2 = 0
2x = -3 or x = -2
x = -3/2 or x = -2
Please HELP QUICK!!!!!!!
Answer:
60.16 mStep-by-step explanation:
Trigonomos used tangent to solve it.
Let the width of the river is w.
tangent = opposite leg / adjacent legtan 76° = w / 15w = 15 tan 76°w = 60.16 mLet that be x
tanØ=Perpendicular/Basetan76=x/15x=15tan76x=60.16mwhich equation has an a-value of 1 ,a b- value of -3 and a c value of -5
Answer:
The options are not given, so I will answer in a general way:
A quadratic equation can be written, in general form, as:
y = a*x^2 + b*x + c
Then if we want this, we need to replace:
a = 1
b = -3
c = -5
Then the equation that we want is:
y = x^2 - 3*x - 5
Is likely that the options are in the factorized way to write a quadratic equation (so it is kinda harder to you)
Such that the factorized way is written as:
y = (x - k)*(x - h)
where k and h are the roots of the quadratic equation.
So you just need to expand that expression and find the one that looks like:
y = x^2 - 3*x - 5
Just to be complete, let's find the factorized form of this particular quadratic equation.
The roots are given by:
0 = x^2 - 3*x - 5
And the two solutions are given by Bhaskara's formula:
[tex]x = \frac{-(-3) \pm \sqrt{(-3)^2 - 4*1*(-5)} }{2*1} = \frac{3 \pm 5.39}{2}[/tex]
The two roots are:
h = (3 + 5.39)/2 = 4.195
k = (3 - 5.39)/2 = -1.195
Then the factorized form is:
y = (x - 4.195)*(x + 1.195)
Studies have shown that 400 people attend a high school basketball game when the admission price is
$3.00. In the championship game, admission prices will increase. For every $0.25 increase, 20 fewer
people will attend. At what ticket price will the revenue be maximized?
Answer:
Let x=number of $0.25 increases, so the equation for revenue=price*number of tickets or people) becomes
Revenue=($3.00+$0.25x)(400-20x)
where ($3.00+$0.25x) :increase in price
and
(400-10x) : decrease in number of people
Expanding Revenue
Revenue[R]=1200-60x+100x-5x²:1200+40x-5x²
Taking the derivative of R and set it equal to 0:
R'=0+40-10x=40-10x
we have
R'=0
40-10x=0
x=40/10
x=4
So the ticket price is $3.00+$0.25*4=$4
The number of people will attend is 400-20*4=$320
At $320 ticket price will the revenue be maximized.
Step-by-step explanation:
A $320 ticket price will the revenue be maximized
A school is building classrooms that are 4 feet apart. The school is 2 miles long. How many classrooms can the school fit (1 mile = 5,280 feet)?
Answer:
The school can build 2640 clasrooms theorethicly that are 4 feet apart,
but if each clasroom is next to another one that means it is separated by 2 walls then it would be 1320 classrooms
Step-by-step explanation:
2 x 5280 = 10560
10560/4 = 2640
And if the clasroom on each side has to be seperated by walls then
10560 /8= 1320
Answer:
i x 2 x5,280
Step-by-step explanation:
10564
What is 5 3/4 as a fraction greater than one
Answer:
23/4
Step-by-step explanation:
-7 x -8 = 56 True or False
Answer:
true negative ×negative =positive
Answer:
True
Step-by-step explanation:
n= negative
p= positive
n*n=p
p*p=p
n*p=n
Answer if you do know
Answer:
Find the hypotenuse:
3^3 + 10^2 = 109
Square root of 109 is around 10.4
Answer:
11 i think
Step-by-step explanation:
..................
Which is larger? The measure of a central angle of a circle that intercepts a 68 degree arc of the measure of an inscribed angle of a circle that intercepts a 68 degree arc. Explain
Answer:
The measure of a central angle of a circle that intercepts a 68° arc
Step-by-step explanation:
Recall the inscribed angle theorems:
Measure of central angle = measure of intercepted arc
Measure of inscribed angle = ½(measure of intercepted arc)
Therefore,
The measure of a central angle that intercepts a 68° arc = 68°
Measure of an inscribed angle of a circle that intercepts a 68° arc = ½(68°) = 34°
Therefore, the larger would be:
The measure of a central angle of a circle that intercepts a 68° arc
I need Answer Immediately!!!!!!
Answer:
86.21
Step-by-step explanation:
simple math you just add it all up then figure the percentage of 75 out of 87
Estimate 11.22+2.633 by first rounding each number to the nearest tenth.
pls give me the right answer
Answer:
11.22 to the nearest tenth is 11.2
2.633 to the nearest tenth is 2.6
if you add them together to the nearest tenth it is 13.9
if you add them together when they're already at the nearest tenth it is 13.8
Step-by-step explanation:
PLEASE ANSWER ASAP !! IF YOU ARE AN EXPERT AT MATH
whats the equation of the line that goes through the points (6,8) and (-2,3)
Answer:
y = 5/8x + 17/4
Step-by-step explanation:
y2 - y1 / x2 - x1
3 - 8 / -2 - 6
5/8
y = 5/8x + b
3 = 5/8(-2) + b
3 = -5/4 + b
17/4 = b
someone please help meee!!!!!
Answer:
B AND D
Step-by-step explanation:
can anyone help me please? no links im finna cry
Answer:
k = 12
Step-by-step explanation:
(x^2 + 16x + 64) - (x^2 + 4x - 32)
distributing - 1
x^2 +16r + 64 - x^2 - 4x + 32
12x +96
take a factor of 12
12(x + 8)
K = 12
Identify the slope type of the following graph.
A. negative
B. Zero
C. Undefined
D. Positive
Answer:
Negative
Step-by-step explanation:
If it is tilted in that sort of way it is negative, vice versa if it was titled the other way then it would be positive.
If it were to be un-defined/infinite then it would be parallel to the y axis
If it were to be 0 then a line would be parallel to the x axis.
Answer:
A negative
Step-by-step explanation:
on a coordinate plane, which point lies on the x-axis?
whats the difference of y and 6
Answer:
Y is an Exponent, and 6 is an integer
Step-by-step explanation:
HELPP ILL MARL YOU BRAINLy!
Answer:
See explanation.
Step-by-step explanation:
First Relation is a function because each input as exactly one output.
Solve the following word problems.
Trisha purchased 3 blouses at $32.50 each, 2 packages of 6 pairs of
socks costing $7.50 per package, and 4 pair of hosiery costing $2.19
each. Sales tax was 6.5%.
72. How much sales tax did Trisha pay?
73. What was Trisha's total invoice including tax?
Answer:
72.$7.88
73. $129.14
Step-by-step explanation:
8x² - 4x=0 - factoring
Answer:
x = 0
x = 1/2
Step-by-step explanation:
4x(2x-1) = 0
4x = 0
x = 0
2x-1 = 0
2x = 1
x = 1/2
Answer:
Step-by-step explanation:
8[tex]x^{2}[/tex]-4x=0
4x(x-1)=0
either 4x=0 Or, x-1=0
x=0/4 x=0+1
x=0 x=1
Calculate Ac of the Earth, assuming it moves in a circular orbit around
the Sun.
(rm-s=1.4961011 m; T=1.156107 1/s)
jjjkkkmbjkjnnnjjj
Step-by-step explanation:
iiiiooi
I need help please really fast
Answer:
[tex] x = \boxed{2}\: and\: x = \boxed{ \frac{5}{2} } [/tex]
Step-by-step explanation:
[tex]2 {x}^{2} - 9x + 10 = 0 \\ \\ 2 {x}^{2} - 4x - 5x + 10 = 0 \\ \\ 2x(x - 2) - 5(x - 2) = 0 \\ \\ (x - 2)(2x - 5) = 0 \\ \\ x - 2 = 0 \: \: 2x - 5 = 0 \\ \\ x = \boxed{2} \: and \: x = \boxed{ \frac{5}{2} } \\ \\ [/tex]
Two friends shop for fresh fruit. Jackson buys a watermelon for $7.85 and 5 pounds of
cherries. Tim buys a pineapple for $4.15 and 4 pounds of cherries. Use the variable p to represent
the price, in dollars, per pound of cherries. Write and simplify an expression to represent how much
more Jackson spent.
Answer:
3.67 + p
Step-by-step explanation:
Jackson
7.85 + 5p
Tim
4.15 + 4p
----------------------
How much more jackson spent
(7.82 + 5p) - (4.15 + 4p)
Group like terms
(7.82 - 4.15) + (5p - 4p)
Simplify
3.67 + p
Bamboo plants grow rapidly. A bamboo plant is 140 inches tall. Tomorrow it will be 154 inches tall, the next day it will be 168 inches tall, and on the next day it will be 182 inches tall. Write a rule to represent the height of the bamboo plant as an arithmetic sequence. How tall will the plant be in 16 days?
Answer:
350 inches
Step-by-step explanation:
aₙ = a₀ + d(n-1)
d = common difference
a(16 days) = 140 + 14(15)
= 140 + 210
= 350