Answer:
36.18 yd and 13.82yd
Step-by-step explanation:
Area of the rectangular tree = Length * Width
A = LW
perimeter of the rectangular tree = 2(L+W)
Given
Area = 500 square yards and
perimeter = 100yards, then;
100 = 2L+2W
50 = L+W .... 1
500= LW ... 2
From 1, W = 50-L
Substitute into 2;
LW =500
L(50-L) = 500
50L-L² = 500
L²-50L + 500 = 0
Factorize
L = 50±√50²-4(500)/2
L = 50±√2500-2000/2
L = 50±√500/2
L = 50±22.36/2
L = 72.36/2 and 27.64/2
L = 36.18 and 13.82
Hence the possible lengths of the tree lot are 36.18 yd and 13.82yd
Consider the triangle below.
Determine the angle measure for angle A and angle M in order for triangle GAM to be classified as an isosceles triangle.
Given :
▪︎Measure of ∠G = 64°
▪︎△GAM is an isosceles triangle.
We know that :
▪︎The opposite base angles of an isosceles triangle are always equal.
Let the measure of ∠A be x.
Then, the measure of ∠M will also be x.
Which means :
[tex] = \tt64 + x + x = 180[/tex]
[tex] = \tt64 + 2x = 180[/tex]
[tex] = \tt2x = 180 - 64[/tex]
[tex] =\tt 2x = 116[/tex]
[tex] =\tt x = \frac{116}{2} [/tex]
[tex] = \tt \: x = 58[/tex]
Since the sum of all these angles is equivalent to 180°[64+58+58=180], we can conclude that we have found out the correct measure of each of these angles.
▪︎Therefore :Measure of ∠A = 58°
Measure of ∠M = 58°
The number of DVD's sold at Fry's Electronics in a month was 920 and the number of DVD's sold decreased by 12 per month. The number of Blu-ray discs sold at Fry's Electronics in the same month was 502 and the number of Blu-ray discs sold increased by 26 per month. Write a system of equations to model th situation. If this trend continues, in how many months will the number of DVD's sold each month equal the number of Blu-ray discs sold each month? How many each disc is sold in that month?
Answer:
11 months
788 disc
Step-by-step explanation:
Let
x = number of months
Fry's Electronics;
= 920 - 12x
Blu-ray discs:
= 502 + 26x
Equate both equations
920 - 12x = 502 + 26x
920 - 502 = 26x + 12x
418 = 38x
x = 418/38
x = 11 months
number of months = 11
Substitute 11 into any of the equation
Fry's Electronics;
= 920 - 12x
= 920 - 12(11)
= 920 - 132
= 788 disc sold in that months
Linda has to buy stickers, erasers, and a pencil. She can only spend $3. A sticker costs $0.35, an eraser costs $0.99, and a pencil costs $0.59. Can Linda buy 3 stickers and 2 erasers?
[Use the inequality 0.35x + 0.99y + 0.59 ≤ 3]
Answer:
No
Step-by-step explanation:
Step 1: Understand the inequality
The inequality 0.35x + 0.99y + 0.59 ≤ 3 contains 2 variables 'x' and 'y'. We can see the 'x' is multiplied by 0.35 which is the price of a sticker which means 'x' represents how many stickers Linda is buying. The 'y' is multiplied by 0.99 which is the price of a eraser which means 'y' is how many erasers Linda is buying. We ignore the 0.59 as that's the price for a pencil but Linda doesn't buy a pencil
Step 2: Sub in the values
[tex]0.35(3)+0.99(2)<3\\1.05+1.98<3\\3.03<3[/tex]
Step 3: Interpret the answer
Because the equality isn't true we can conlude Linda doesn't have the money to buy 3 stickers and 2 erasers
Answer:
no
Step-by-step explanation:
0.35x3=$1.05
0.99x2=$1.98
add $0.59+$1.98+$1.05
=$3.62
Can someone help me with Geometry?
Answer:
6x + 2 is your answer I THINK
Find the composition of transformations that map ABCD to EHGF. 3 Reflect over the [? ]-axis , then translate (x+[ ],y+[ 1) . 2
Answer:
x3 y1
Step-by-step explanation:
ABCD reflects over [tex]X-[/tex] axis.
Then translated to [tex](x+[6],y+[-1])[/tex].
What is Transformation?A single or multiple changes in a geometrical shape or figure is called Geometrical Transformation.
What is Reflection?A geometrical transformation in which a geometrical figure changes his position to his mirror image about some point or line or axis is called Reflection.
We can see in the given figure that ABCD becomes EHGF after reflecting over [tex]X-[/tex] axis.
So now A became the point E.
We can see in the figure that the coordinates of A were [tex](-5,2)[/tex]
And now the coordinates of E are [tex](1,1)[/tex]
So, [tex](-5+[6],2+[-1])=(1,1)[/tex]
Hence the transformation is [tex](x+[6],y+[-1])[/tex].
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100%
A right triangle has legs that measure 8 inches and 15 inches.
What is the length of the triangle's hypotenuse?
O
A 5 in.
B. 7 in
C. 17 in
D. 23 in.
Answer:
17 inches
Step-by-step explanation:
it's 17 because x² = 15² + 8²
then x² = 225+64 which is x² = 289 so now you have to do the square root on both side x= 289
x= 17
An inflatable ball has a diameter of 6 inches. About how many cubic inches of air does the ball hold?
A. 30
B. 40
C. 110
D. 900
Answer:
The volume of a sphere with 6 inch radius is 36(pi) cubic inches or approximately 110 cubic inches.
Step-by-step explanation:
Answer: 110
Step-by-step explanation:
100% true i think
3(2x +5) - 2x= 3 (x +6)
Plzzz Someone help me
Step-by-step explanation:
afsoon the process in the picture hope you understood.
Answer:
x= 3
Step-by-step explanation:
6x + 15 - 2 = 3x + 18
4x +15 = 3x + 18
4x -3x = 18-15
x = 3
The diameter of a circle is 6 cm find the circumference to the nearest tenth
Answer:
28.3
Step-by-step explanation:
If this answer helped you then please like this and consider marking it as brainliest :)
Answer:
18.85 cm
Step-by-step explanation:
The sum of 32 and n is equal to 44.29.
Enter the equation described in the sentence.
Answer:
32 + n =44.29
Step-by-step explanation:
the sum of 32 and n means add n to 32 or 32 + n
Given that slope = -1 and a point (3,-1), write an equation in slope-intercept form of the line?
Answer:
Step-by-step explanation:
point-slope equation of the line: y+1 = -(x-3)
rearrange to solve for y:
y+1 = -x+3
y = -x + 2 slope-intercept form
Answer:
y = -x + 2
Step-by-step explanation:
We are given that a line has a slope of -1 and passes through the point (3, -1)
We want to write the equation of this line in slope-intercept form
Slope-intercept form is written as y=mx+b, where m is the slope and b is the value of y at the y intercept
As we are already given the slope, we can immediately plug its value into y=mx+b.
Replace m with -1 in y=mx+b.
y = -x + b (there's no need to write -1 in front of x. If -1 is the coefficient in front of a variable, just writing a minus sign in front of the variable is enough).
Now we need to find b.
As the equation passes through the point (3, -1), we can use it to help solve for b.
Substitute 3 as x and -1 as y.
-1 = -3 + b
Add 3 to both sides
2 = b
Substitute 2 as b in the equation so far.
y = -x + 2
Topic: finding the equation of the line (in slope-intercept form).
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There are 15 people on a bus. Some are adults. Some are children. There are more adults than children. Write down three different ratios of adults to children on the bus.
Answer:
Step-by-step explanation:
A ratio would mean that for every x number of adults there are a y number of children and the total in this scenario would need to total the 15 individuals in the bus. Therefore, since there has to be more adults than children then any of the following three ratios would be valid.
10 adults :: 5 children
14 adults :: 1 children
5 adults :: 3 children
All three of these ratios add up to be the 15 total individuals in the bus and also fit the requirement that there are more adults tan children.
550 visitors paid for admission to Hope State Park during one week. Of those 550 visitors, 3/5 of them purchased guide books. How many visitors purchased guide books?
Answer:
the number of visitors purchased guide books is 330 visitors
Step-by-step explanation:
The computation of the number of visitors purchased guide books is shown below;
= Number of visitors × visitors purchased guide books
= 550 × 3 ÷ 5
= 330
Hence, the number of visitors purchased guide books is 330 visitors
Sandra was 13 years old on her last birthday, and she will be 15 years old on her next birthday. How is that possible
Answer:
on her last bday she was 13, this year she will be turning 14. then next year she would be turning 15 years old.
Step-by-step explanation:
Solve for x in the partial spiral below.
Answer:
[tex] x = \sqrt 5[/tex]
Step-by-step explanation:
On solving by Pythagoras theorem:
(Going in counterclockwise direction)
For bottom most triangle :
Length of Hypotenuse [tex] = \sqrt {1^2 +1^2} =\sqrt {1+1}=\sqrt 2[/tex]
The for second triangle :
Length of Hypotenuse [tex] = \sqrt {(\sqrt 2) ^2 +1^2} =\sqrt {2+1}=\sqrt 3[/tex]
The for third triangle :
Length of Hypotenuse [tex] = \sqrt {(\sqrt 3) ^2 +1^2} =\sqrt {3+1}=\sqrt 4 = 2[/tex]
The for fourth triangle :
x [tex] = \sqrt {(2) ^2 +1^2} =\sqrt {4+1}=\sqrt 5 [/tex]
The x value for the given partial spiral is √5 units.
We need to solve for x in the partial spiral given.
What is Pythagora's theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
From the right triangle 1:
Let the hypotenuse be a.
So, a²=1²+1²
⇒a=√2
From the right triangle 2:
Let the hypotenuse be b.
So, b²=(√2)²+1²
⇒b=√3
From the right triangle 3:
Let the hypotenuse be c.
So, c²=(√3)²+1²
⇒b=√4=2
From the right triangle 2:
The hypotenuse=x
So, x²=2²+1²
⇒x=√5
Therefore, the x value for the given partial spiral is √5 units.
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PLZZ HELP MARKING BRAINLEIST
Answer:
Length of side QP = 5
Can someone help me with this please?
A teacher Ask for students To write three side lengths that will not make a triangle and describe why.
Answer:
2, 5, 9
Step-by-step explanation:
The two shorter sides added together must be longer than the third side or they cannot make a triangle.
Please , I’m so bad at math help on how to find the answers would be nice
Answer:
2nd one is 4.48
Step-by-step explanation:
6x-3=3x+12 what is the solution to the equation?
Answer:
x=5
Step-by-step explanation:
add 3 to both sides of the equation: -3+3=0 12+3=15 simplified: 6x=3x+15 then subtract 3x from both sides of the equation. simplified: 3x=15
then divide both sides by 3. simplified: x=5
PLEASE HELP ME
Amira is asked to write an exponential function to represent the value of a $5,000 investment increasing at 4% annually. What multiplicative rate of change should Amira use in her funtion?
a
1.04
b
0.96
c
0.04
d
1.96
Answer:
c) 0.04 is the answer
I would be happy if you give brainliest
Which equation best represents the relationship between x and y in the graph? * 2 points
Answer:
The answer is y=2x+2
Step-by-step explanation:
What fraction is equivalent to 0.45 ? (in lowest terms)
What has the same value as 75% of 96
Answer:
72
Step-by-step explanation:
75% of 96 = 0.75 x 96
= 72
Multiply (4x - 3)(5x + 2) using the area model.
Answer:
[tex]20x^{2}[/tex]-7x-6
Step-by-step explanation:
Someone tell me is this 1/5
Answer:
4/15
Step-by-step explanation:
3/5-1/3
9-5/15
=4/15
I ain't really sure
How many dollars will Ms. Davis have saved after 30 weeks?
Ms. Davis has $54.50 saved
• She will save $33.25 each week for the next 30 weeks
• She will not spend any of the money
Enter your response here:
Answer:
$1,052
Step-by-step explanation:
.................
Answer: 1,052
Step-by-step explanation: Okay so she has $54.50 saved right now and she wants to save $33.25 each week for the next 30 weeks so we're multiplying. 33.25x30= 997.5 plus the money she has right now is 997.5+54.50= 1,052
Use slope to determine whether the lines AB and CD are parallel, perpendicular, neither, or the same line for the points: A (3,5), B(−2,7), C(10,5), D(6,15)
Answer: your answer would be A
Step-by-step explanation:
When the product of the slopes of two lines is -1.
The lines are perpendicular.
When the product of the slopes of two lines is 1.
The lines are on the same line.
When the slopes of two lines are the same.
The lines are parallel.
slope of AB x slope of CD = 1
The lines are on the same line.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
A (3,5), B(−2,7), C(10,5), D(6,15).
When the product of the slopes of two lines is -1.
The lines are perpendicular.
When the product of the slopes of two lines is 1.
The lines are on the same line.
When the slopes of two lines are the same.
The lines are parallel.
The line AB.
Slope = (7 - 5) / (-2 - 3) = 2 / -5 = -2/5
The line CD.
Slope = (15 - 5) / (6 - 10) = 10 / -4 = -5/2
Now,
slope of AB x slope of CD.
= -2/5 x -5/2
= 1
This means,
The lines are on the same line.
Thus,
slope of AB x slope of CD = 1
The lines are on the same line.
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Which angles shown in the drawing are obtuse?
∠ABE
∠DBA
∠DBC
∠CBE
Answer:
the first and third one
Step-by-step explanation:
those are obtuse triangles because they open wide
F(x)=2x-10 when x=-3, 0, and 8.
Answer:
2x=10
Step-by-step explanation: