Answer:
Length: 12 meters
Step-by-step explanation:
Step 1:
Let us start with the formula of the perimeter of a rectangle, [tex]P=2l+2w[/tex], where l represents the length of the rectangle, and w represents the width of the rectangle.
We can set width as variable x. We are also given that the length is three times the width, hence it can be represented as 3x.
Step 2:
We can now write our equation and solve for x :
[tex]24=2x+2*2x\\24=2x+4x\\24=6x\\x=\fbox{4}[/tex]
We set x as width, so the width is 4 meters. However, in this problem we are looking for the length. The length is three times the width, so it would be [tex]\fbox{12}[/tex] meters.
I hope this helps! Let me know if you have any questions :)
Answer:
From the given information, there are two equations in terms of x and y:
2x + 2y = 24 (perimeter of the rectangular plot)
x = 3y (relationship between length and width)
The second equation is expressed in terms of x, so directly substitute the value of x into the first equation and find y:
2(3y) + 2y = 24
y = 3
Substitute y in the second equation to find x:
x = 3(3)
x = 9
The fencing cost is $25 multiplied by the length of the side Sam wants to fence: 25 × 9 = 225. Therefore, Sam needs to spend $225 to fence that side of his plot.
Step-by-step explanation:
Describe the behavior of the function h around its vertical asymptote at x=-6.
Answer:
B
Step-by-step explanation:
One good way to look at this is to graph both polynomials, as shown in the picture. A tip to help graph is to factor it out and work from there. For example, in x²+14x+48, we can gather that (x+6)(x+8) is the same thing, and it is easier to then graph it. Similarly, for x²+12x+36, we can factor it out as (x+6)² .
When x²+12x+36 approaches 6, it is getting really close to 0, but it stays positive. When x²+14x+48 approaches 6 from the negative side, it is also getting close to 0, but it's negative. When x²+14x+48 approaches 6 from the positive side, it is positive.
Therefore, on the negative side, there is one positive and one negative (dividing a negative by a positive is negative, and a positive by a negative is also negative) , and on the positive side, there are two positives, forming one answer.The answer is therefore B
Given that f(x) = 9 − x and g(x) = x^2
Calculate
a) f(3)
b) g(−4)
Answer:
a) f(3) =6
b) g(-4) =16
Step-by-step explanation:
answer to a, substitute X with 3. which will be f(3)=9-3
=6
answer to b, substitute X with -4, which will be g(-4)=(-4)^2
=16
how many solutions -(3 - 6b) = 6b + 5
Answer:
There are no solutions
Steps :
First we expand it
[tex]-3+6b=6b+5[/tex]
Then we add 3 to both sides
[tex]-3+6b+3=6b+5+3[/tex]
Then we simplify
[tex]6b=6b+8[/tex]
Then we subtract 6b from both sides
[tex]6b-6b=6b+8-6b[/tex]
Simplify
[tex]0=8[/tex]
No solutions !
Question 15 of 25 Given any triangle ABC with corresponding side lengths a, b, and c, the law of cosines states: 6. C A O A. b^2=a^2 +c^2 - 2 ac cos(B) so O B. b^2= a^2 +c^2 - 2bccos(A) O C. b2 = a^2 -c^2 -25ccos(5) OD. b^2=a^2 -c^2 -2bccos(C)
The correct representation of the law of cosines is A. c² = a² + b² - 2ab cos C.
What is the law of cosine?Let there is triangle ABC such that |AB| = a unit, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:
[tex]a^2 + b^2 -2ab\cos(\theta) = c^2[/tex]
(c is the opposite side to angle A)
We have been Given any triangle ABC with corresponding side lengths a, b, and c.
In the given triangle ABC, the sides are;
BC = a, AB = b and AC = c
Now we know as per the law of cosines for all three sides of the triangle;
c² = a² + b² - 2ab cosC
a² = b² + c² - 2bc cosA
b² = a² + c² - 2ac cosC
Therefore the correct representation of the law of cosines is A. c² = a² + b² - 2ab cos C.
Learn more about the law of cosines here:
https://brainly.com/question/17289163
#SPJ2
Select the correct answer.
Which equation written in two variables is equivalent to this function?
f(x) = -2(x – 4)
A.y = -2(f(x) – 4)
B.y = -2x + 4
C.y = -2(f(x) + 4)
D.y = -2(x – 4)
Answer:
D
Step-by-step explanation:
In a function with x as the independent variable and y as the dependent variable, the f(x) notation replaces y in the equation.
find the equation of the line that is parallel to y= -7x+2 and contains the point (-5,32)
Answer:
y=-7x-3
Step-by-step explanation:
y=-7x+b
32=-7(-5)+b
32=35+b
-3=b
y=-7x-3
What is the value of x?
1000
+
300
1000
O A 160°
o
B 100°
Ос
800
10
OD
50°
Answer:
x = 50
Step-by-step explanation:
The unknown arc is
360 -30-100-100 =
130
We can find the value of x
Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)
x = 1/2 ( 130 -30)
x = 1/2 (100)
x = 50
Simplify. x 0 yz -3
Simplify. x 0 yz -3
Answer:
y / z^3
Step-by-step explanation:
x^0 is 1 because anything to the zero power is 1
1 *y z^-3
We know a^-b = 1/a^b
y / z^3
Answer:
[tex] \small \sf \frac{y}{z {}^{ 3}} [/tex]
Step-by-step explanation:
x⁰yz-³
Any non expression raised to power of 0 equals 1.[tex] \small \sf \: 1yz {}^{ - 3} [/tex]
Express with positive exponents using [tex] \small \sf \: a {}^{ - n} = \frac{1}{a^n}[/tex]1y +[tex] \small \sf \frac{1}{ z {}^{ 3}} [/tex]
[tex] \small \sf \frac{y}{z {}^{ 3} }[/tex]
which ordered pair is a solution of the equation 5x-3y=-12
A) (-3,-1)
B) (-1,-2)
C) (-1,-3)
D) (-2,-1)
PLEASE EXPLAIN ANSWER
Find the midpoint of the segment with endpoints:
(9,8) and (3,5).
pls pls pls pls help!!!! for geometry final
Answer:
Step-by-step explanation:
here x1=9 y1=8 x2=3 y2=5
midpoint=(x2+x1/2 , y2+y1/2)
=(3+9/2 , 5+8/2)
=(12/2 , 13/2)
=(6 , 13/2)
Margie drew the following figureHow can margie find the length of CD
Answer:
12
Step-by-step explanation:
Answer:
12............................
Step-by-step explanation:
wuch equation represents O AB OB. re
Answer:
The answer that is C
Step-by-step explanation:
The equation would be y=1/2x + 8 because the line touches the y-intercept at +8. The others would be incorrect as the line does not increase by a slop of 8/1 and/or is the y-intercept at -8.
What is the noun of press?
the noun press itself is already a noun. though the word can also be expressed as a verb, (for example: he pressed his face against the glass) it can also be a noun (for example: the incident was not reported to the press).
hope this helps. :)
have a great day! stay safe, happy, and healthy!
please help 40 points
Answer:
-2 5/9
Step-by-step explanation:
w + (-x) - 2/3
Let w = -5/9 and x = 4/3
-5/9 - 4/3 - 2/3
Get a common denominator
-5/9 -4/3*3/3 -2/3*3/3
-5/9 -12/9 -6/9
Add
-23/9
Change to a mixed number
-2 5/9
Find all the real fourth roots of 256/2401:
a. 4/7 and 16/49
b. -4/7 and 4/7
c. 4/7, -4/7, 16/49, and -16/49
d. 4/7
Pls help I will give crown
Answer:
35 yards
Step-by-step explanation:
The formula for an area of a trapezium or trapezoid is h(a+b)/2. H is the height, and a and b are the the two opposite sides. With substitution, we get 5(6+8)2 = 70/2 = 35
Answer:
35 yd²
Step-by-step explanation:
First, you need to find the remaining side:
You need to find the bottom side of the triangle: 8-6=2 yd
Let's calculate the area of the triangle:
[tex]\frac{5*2}{2} =5[/tex] yd²
Let's calculate the area of the rectangle:
6*5 = 30 yd²
Total area: 30+5 = 35 yd²
The Malcolms are taking a trip. Midville is 214 miles
from their home. Walesburg is 3 times as far.
How far is Walesburg from their home?
Answer:
642 miles
Step-by-step explanation:
Distance of Midville from their home = 214 miles
Walesburg is 3 times as far.
How far is Walesburg from their home?
Distance of Walesburg from their home = 3 × Distance of Midville from their home
= 3 × 214 miles
= 642 miles
Distance of Walesburg from their home = 642 miles
kevin ran 6/7 miles and his brother james ran 10 miles. How many miles did the two of them ran.
Answer:
16.7 miles
Step-by-step explanation:
6.7+10=16.7
The two of them ran 16.7 miles.
What is the volume of a cone that has a height of 10 feet and a base with a surface area(B) of 9 square feet?
Answer:
30 cubic feet
Step-by-step explanation:
According to the scenario, calculation of the given data are as follows,
Height of cone (h) = 10 feet
Base surface area = π[tex]r^{2}[/tex] = 9 sq. feet
So we can calculate the volume of cone by using following formula,
volume of cone = (1/3)π[tex]r^{2}[/tex]h
By putting the value in the formula, we get
Volume of cone = (1/3) 9 × 10
= 3 × 10
= 30 cubic feet
A cheetah's speed was timed over a set distance. The cheetah was clocked running 60 miles per hour. Which equation is the relationship between the distance, y, and time, x, the cheetah runs?
Answer:
D. y=70x
Step-by-step explanation:
The cheetah was clocked running 70 miles per hour.
i.e. in 1 hour cheetah covered 70 miles
in 2 hours cheetah covered 140 miles
in 3 hours cheetah covered 210 miles
in general, in n hour cheetah covered 70n miles
If y denote the distance covered
and x denotes the time cheetah runs
Then, y=70x
Hence, the equation which shows the relationship between the distance, y, and time, x, the cheetah runs is:
D y=70x
solve for x with the image below
Answer:
Step-by-step explanation:
The formula for this particular problem is
[tex]x^2=2(2+16)[/tex] and
x² = 2(18) and
x² = 36 so
x = 6
Help , what is the measure of p
Answer:
Step-by-step explanation:
let angle p be x
x+27=56 degree (sum of two opposite interior angle is equal to the exterior angle formed)
x=56-27
x=29 degree
therefore p is 29 degree.
Ramona wants to estimate 73% of 5,459 . To what should he round the percentage to find a reasonable estimate
Answer:
70%
Step-by-step explanation:
He should round the percentage to the nearest 10 which will give him a more reasonable prediction. Hope this helps!
help very easy 5th grade math im in rush
Answer:
C. every rhombus is a parallelogram
Answer:
every rhombus is also a parallelogram....
Can someone help me solve this please?
Answer:
Step-by-step explanation:
1 = 1/16 (one chance on 16
2 = 7/16 (the non shaded parts are 7, while the total parts are 16)
3 = 11/16 ( 11 is unshaded + even)
4 = 4/16 = 1/4 (the favourable possibilities are: 13, 14, 15, 16)
please help asap I will give you 15 points. no links or ill report you
Answer:
Step-by-step explanation:
Range is y thing, where as domain is an x thing. The way you state a range (or a domain, for that matter) is to start from the low point on the graph and go up to the high point. Our graph doesn't have a starting point; therefore, the "low" end of the graph comes up from -∞. The high point on the graph maxes out at 3. Therefore, the proper way to state the range (depending upon whether you use set-builder or not) is
R = (-∞, 3] or another way to state this is
R = {y | y ≤ 3} which reads "y such that y is less than or equal to 3".
is y=2x^3 an even or odd function or neither
Answer:
Odd
Step-by-step explanation:
Hey! can someone help me find the value of x please??!
Answer:
x = 13
Step-by-step explanation:
The triangles base angles are congruent, so the triangle is isosceles with the 2 legs being congruent, then
x = 13
The ages, in years, of employees at a fabric store are represented by the box-and-whisker plot shown.
Answer:
There isn't a plot.
Step-by-step explanation:
PLEASE HELP ME WHAT IS THE ANWSER
Answer:
c is the same angle as a
b and d are the same as the other
and together the are what's left from 360° after a and c got their share
so
360 -98 -98 = b + d
makes
164 = b + d
since they are of equal value, just decide 164 by 2 and you got b and d at once
pls brainliest
Answer:
Vertical Angles: a and c , d and b
m<b= 82⁰ , m<c=98⁰ , m<d=82⁰
Adjacent Angles: a and b , b and c , c and d ,d and a
correct me if im wrong