Answer:
When l = 4m , breadth is 8m
When l = 8m , breadth is 4m .
Step-by-step explanation:
Here it is given that the area of a rectangular patch is 32m² . If we assume length to be l and breadth to be b , then ;
[tex]\longrightarrow Area_{rectangle}=length\times breadth\\ [/tex]
[tex]\longrightarrow 32m^2 = lb \dots (i) [/tex]
Again , it's given that the perimeter is 24m .We know that perimeter of a rectangle is ,
[tex]\longrightarrow Perimeter = 2(l+b)\\ [/tex]
[tex]\longrightarrow 24 = 2( l +b)\\ [/tex]
[tex]\longrightarrow l + b = 12\dots (ii) [/tex]
From equation (i) and (ii) , we have ;
[tex]\longrightarrow l + \dfrac{32}{l}=12\\\\\longrightarrow \dfrac{l^2+32}{12}=1\\\\\longrightarrow l^2+32=12l \\\\\longrightarrow l^2-12l +32=0\\\\\longrightarrow l^2-4l -8l +32=0 \\\\\longrightarrow l( l -4) -8(l-4)=0\\\\\longrightarrow(l-4)(l-8)=0 \\\\\longrightarrow \underline{\underline{ l = 4,8}} [/tex]
Therefore , we can find breadth as,
[tex]\longrightarrow l + b =12\\\\\longrightarrow b = 12 - l \\\\\longrightarrow b = 12-8, 12-4\\\\\longrightarrow \underline{\underline{b = 4,8}}[/tex]
Desiree buys two bracelets for a little more than $40 before tax. When she gets home, her mother asks her how much each bracelet costs. Desiree cannot remember the individual prices. Use indirect reasoning to show that at least one of the bracelets cost more than $20.
Answer:
#FOR MY OPINION
hes have some $40 dollars before doing the tax
and she buy the bracelet bracelet prise is $5
AND HER MOTHER ASK THE BRACELET AND HER MOTHER GET SOME $20 DOLLARS THE TOTALY IS- $15.4
Step-by-step explanation:
the scale of a map is 1cm : 17km. find the actual distance corresponding to the map distance. the distance on the map is 2.5cm
Step-by-step explanation:
1cm:17km so
2.5cm=17*2.5=42.5
can someone pls help me on this question i’ve literally been stuck on it all day
simplify the expression by combining like terms
Can someone help me and explain the answer to this problem: Jay's dog outgrew his rectangular pen that measured 10 feet by 14 feet. To make it larger, he increased each side length by the same amount, which increased the pen's area by 81 square feet. What is the greater side length of the larger pen in feet?
Answer:
ok so first lets find the original area which is just lenth*width
10*14=140
so they increace it by 81 so
140+81=221
then we just need to find what they increases the side by we know its the same so lets just say that x so
(10+x)(14+x)=221
x=3
so the longest time is 17 since 14+3=17
Hope This Helps!!!
the area of a trapezoid is 42 square feet and its height is 4 feet. the length of one base of the trapezoid is 9 feet. what is the lenght of its other base
Answer:
12
Step-by-step explanation:
area of a trapezoid :
[tex]A = \frac{a+b}{2} h[/tex]
where a and b = length of bases and h = height
here, we are given the area, the length of one base and the height
we want to find the other base length
we can do this by plugging in what we are given and then solving for the unknown variable
first lets define our known variables
Area (A) = 42 , height (h) = 4 and length of one of the bases (a) = 9
we then plug this into the formula and solve for b, the other base length
recall formula : [tex]A = \frac{a+b}{2} h[/tex]
A = 42 , h = 4 , a = 9
[tex]42 = \frac{9+b}{2} 4[/tex]
now solve for b
divide both sides by 4
[tex]10.5=\frac{9+b}{2}[/tex]
multiply both sides by 2
21 = 9 + b
subtract 9 from both sides
12 = b
the other base length is 12
Solve and reduce to lowest terms: 8/11 x 1/2
Hii!
8/11×1/2 is 8/22
Simplified to
8/22->4/11
Hope dis helps:]]
Brainliest?
please help!!! does anyone know what the numbers would be to x and y? i’ll give brainlest!!!
Answer:
x=-1 y=-4
x=0 y=-5
x=1 y=-6
x=2 y=-7
Step-by-step explanation:
Rewrite the equation 3x – 5y=30 in slope-intercept form.
a. y= -3/5x +30
b. y= -5/3x -6
C. x= 5/3y -6
d. y = 3/5x - 6
Answer: D) y = 3/5x - 6
The correct answer is D. The equation in slope-intercept form is y = 3/5x - 6.
Step-by-step explanation:
Hope this helps =)
How many lines of symmetry does a scalene triangle have.
Answer:
Your answer would be 0.
Hope this helps :D
** if u can answer this quickly it will be very appreciated!**
Fill in each blank with a number so that every row, column, and diagonal so that it adds up to the same total.
Answer:
9 -5 -4 6
-2 4 3 1
2 0 -1 5
-3 7 8 -6
Rationalise the denominator
Answer:
30+12(square root of 5)
Step-by-step explanation:
Answer:
30 + 12[tex]\sqrt{5}[/tex]
Step-by-step explanation:
To rationalise the denominator, multiply the numerator and denominator by the conjugate of the denominator.
The conjugate of 2[tex]\sqrt{5}[/tex] - 4 is 2[tex]\sqrt{5}[/tex] + 4 , then
[tex]\frac{12\sqrt{5}(2\sqrt{5}+4) }{(2\sqrt{5}-4)(2\sqrt{5}+4) }[/tex] ← expand denominator using FOIL
= [tex]\frac{120+48\sqrt{5} }{20-16}[/tex]
= [tex]\frac{120+48\sqrt{5} }{4}[/tex] ( divide each term on numerator by 4 )
= 30 + 12[tex]\sqrt{5}[/tex]
please help me. I will give a lot of points!!!
Answer:
The value of this expression is A: 3Step-by-step explanation:
help please! i will give brainliest
Answer:
x=6
Step-by-step explanation:
[tex]4(x+5)=9x+4x-34[/tex]
Step 1 :[tex]4x+20=9x+4x -34[/tex]
At step one, you have distributive property.
Step 2:[tex]4x+20=13x-34[/tex]
Step two you have to combine like terms.
Step 3:[tex]4x-4x+20=13x-4x-34[/tex]
Now is subtraction property
Step 4:[tex]20+34=9x-34+34[/tex]
additon
Step 5:[tex]\frac{54}{9}=\frac{9x}{9}[/tex]
division
x=6
What is the volume of this figure
Answer :
22 Cubic Units Enjoy.
◊ YusuCr ◊
Please help me math and Thanks
Answer:
(- 7, - 4 ) and (4, 7 )
Step-by-step explanation:
under a clockwise rotation about the origin of 180°
a point (x, y ) → (- y, - x ) , then
(- 7, - 4 ) → (4, 7 )
Select ALL the true statements.
Answer:
A.
C.
Step-by-step explanation:
A. When adding a negative number to a positive, you subtract. 2.3 - 2.3 will equal 0.
B. When adding two negative numbers, you get an even smaller negative number. (-3.7) + (-4.1) = -7.8
C. When subtracting a negative number, the two negative signs become a positive. -12/4 is equal to 3. -2.6 + 3 is 0.4, which is positive.
D. 5/2 is the same as 2.5. If you subtract 2.5 from 2.5, you will get 0, which is not negative.
E. Two negative signs make a positive, so 72 + 100 is positive, not negative.
find the side of the cubical box whose volume is 262144 cm3.
Answer:
64 cm
Step-by-step explanation:
take the
cube root of 262144
Write an explicit equation for the sequence based on the graph at right.
Answer:
[tex]t(n)=12 \cdot 3^{n-1}[/tex]
Step-by-step explanation:
From inspection, the points on the graph are:
(1, 12)(2, 36)(3, 108)Therefore, as terms of a sequence:
[tex]t_1=12\\\\t_2=36\\\\t_3=108[/tex]
The difference between the y-coordinates is not equal, therefore the sequence is geometric.
Geometric sequence formula: [tex]t_n=t_1r^{n-1}[/tex]
As [tex]t_1=12 \implies t_n=12r^{n-1}[/tex]
To find r, divide one term by the previous term:
[tex]r=\dfrac{t_3}{t_2}=\dfrac{108}{36}=3[/tex]
Therefore, geometric sequence formula: [tex]t_n=12 \cdot 3^{n-1}[/tex]
Graph this line using the slope and y-intercept:
y= 1/3x+9
(1/3 is fraction) i will give brainliest :)
Answer:
Two points, (0,9) & (3,10)
Step-by-step explanation:
First point, look at the +9 which should signal that it is 0,9 because that is the y-intercept
Next, use rise/run system to use the slope (1/3) and find your next point
Go up 1 from 9 to 10 (this is the rise part)
Go horizontally 3 to get your x-axis point (this is the run part)
Hope this helps and please award brainliest if possible!
Write an equation in slope-intercept form for the line with slope - 3/5 and y-intercept -1. Then graph the line.
TBH, i am not sure what im doing. Here is a pic of the question.
Answer:
7
Step-by-step explanation:
The order of operations tells you to start any evaluation by looking at the innermost set of parentheses first.
Here, that means your first step is to find the value of h(-3). You do that by finding the input (x) value -3 in the table for h(x), and locating the corresponding output, h(x), which is 2.
Now, the problem becomes evaluating g(2).
You do the same thing for that function: locate the input x=2 in the table for g(x) and find the corresponding output: 7.
Now, you know ...
g(h(-3)) = g(2) = 7
help me with geometry please
Answer:
140 = aangle 1
What is the product of 2,871
326?
Answer:
The product would be 935,946
Step-by-step explanation:
When you are asked the product of something you have to multiply it so 2,871 x 326= 935,946
Hope this helps:)
Answer: Product of 2 x 871326 will be 1742652
Step-by-step explanation:
2×8 7 1 3 2 6
1 2
4 0
6 0 0
2 0 0 0
1 4 0 0 0 0
1 6 0 0 0 0 0
1 7 4 2 6 5 2
REALLY EASY POINTS
-
What are the values of a positive attitude?
Answer:
3 values of postivity is Optimistim, Kindness, and an open mind/Growth mind set.
Step-by-step explanation:
Can someone check if this is right or did I solve it wrong?
The function y = f (x) is linear. Given f-¹ (0) = 3 and f (1) = - 4, find the formula f (x) and f-¹ (x).
Answer:
f(3x) - 2g(x+1) = 12x - 5
Step-by-step explanation:
You've got f[g(x)] and g[f(x)] correct
However, f(3x) means substitute 3x for x in f(x):
f(3x) = 2(3x) - 3
⇒ f(3x) = 6x - 3
2g(x+1) = 2[4 - 3(x + 1)]
⇒ 2g(x+1) = 2[4 - 3x -3]
⇒ 2g(x+1) = 2[1 - 3x]
⇒ 2g(x+1) = 2 - 6x
f(3x) - 2g(x+1) = (6x - 3) - (2 - 6x)
⇒ f(3x) - 2g(x+1) = 12x - 5
Math question from my quizziz, I don't know if it's 1/a^9 or a^9
Answer:
red or 1/a9
Step-by-step explanation:
with that it is
a^ (3-12)
a^ (-9)
and then you can't have -9 in the top so you put it on the bottom
1/ a^9
Answer:
[tex]\frac{1}{a^9}[/tex]
Step-by-step explanation:
Cancel the common factor of [tex]a^3[/tex] and [tex]a^1^2[/tex]
[tex]a^3^-^1^2=a^-9[/tex]
Same things as 3-12 = -9
Hence, [Red] or [tex]\frac{1}{a^9}[/tex] is the correct Answer.
[RevyBreeze]
please help!! show work needed
Answer:
the answer is 46 hope it helps
Evaluate the function
Answer:
[tex]f(10) \: is \: \: - 183[/tex]
Step-by-step explanation:
[tex]f(x) = { - 2x}^{2} + 17[/tex]
Question :Find f(10) ?
Solution :[tex]f(x) = { - 2x}^{2} + 17[/tex]
Substitute x = 10
[tex]f(10) = - 2 {(10)}^{2} + 17[/tex]
[tex] f(10) = - 2(100) + 17[/tex]
[tex]f(10) = - 200 + 17[/tex]
[tex] \boxed{f(10) = - 183}[/tex]
the students at lincoln middle school are being split into 5 equal teams for dodgeball. each team has 20 people on it. how many total students are there?
Answer:
100
Step-by-step explanation:
5 x 20 is equal too one hundred