Answer:
Length: 84 ft
Width: 56 ft
Step-by-step explanation:
Let's define some variables first.
Call the length l and width w.
We know that w = 2/3l. Therefore, we can express w in terms of l with this expression.
Now, let's set up an equation. The flower garden is rectangular, and 280 feet of fencing are used to enclose the garden. This represents perimeter.
Remember the formula for perimeter of a rectangle: 2l + 2w
Let's substitute 2/3l for w:
2l + 2*2/3l = P
2l + 4/3l = 280
2 4/3l = 280
10/3l = 280
l = 84
Now, we know that the length is equal to 84 feet. We can multiply 84 feet by 2/3 to find the width.
84*2/3 = 56
Length: 84 ft
Width: 56 ft
Let's plug these values into the formula and see if they give us the correct perimeter:
2l + 2w = P
2*84 + 2*56 = P
168 + 112
= 280 feet
These are the correct dimensions!
Hope this helps! You can reach out to me if you have further questions or concerns! :)
Work this out for me
Answer:
x = 129
Step-by-step explanation:
x and 51 are same- side exterior angles and supplementary, thus
x = 180 - 51 = 129
Answer:
19degree I think
Step-by-step explanation:
the sum of each angle on the straight line is 180 degree so if you want to find x you needed to subtract 180degree-51 degree then you will get the answer
Find the domain of the function.
y = [tex]\sqrt{x} + 1[/tex]
Answer:
[0, infinity)
Step-by-step explanation:
A square root can only use positive numbers, otherwise it becomes imaginary. A function needs to be real to output real values. Therefore, the domain is everything from 0 onwards.
An isosceles triangle has two angle measurements of 80 and 50 degrees. Could more than one triangle be drawn that fits these conditions? Explain.
Answer:
Step-by-step explanation:
In an isosceles triangle, the base angles are equal. This also means that two sides of the triangle are equal in length. Since the sum of the angles in a triangle is 180 degrees, it means that the third angle of the given triangle is
180 - (80 + 50) = 50 degrees
Therefore, the base angles of the isosceles triangle are 50 degrees each. For more triangles with these conditions to be drawn, only the lengths of the equal sides can be increased or decreased. This would in turn increase the length of the third side. Therefore, isosceles triangles of the same angles but different sizes can be drawn.
Simplify 8x^4/x^3+7x^4 and Find the excluded values
So first what we do is we need to get the excluded values. So to get them we have: 8x^4/x^3+7x^4.
Lets factor out the second part. x^3+7x^4 = (x^(3/4)+7x))^4
So then we get 8x^4/(x^(3/4)+7x)^4
8x^4/(x^(3/4)+7x)^4
i need the volume and surface area
Answer:
Volume: V≈113.1
Step-by-step explanation:
Solved for sphere
Shape: Sphere
Formula: V=43πr3
Volume: V≈113.1
1: R is the radius meaning calculate the radius to find the volume of a sphere.
2: The correct answer is below for this question.
Answer: V≈113.1
Hope this helps.
FOR 15 POINTS Determine whether each given value of h makes the inequality 4h + 13 ≤ −7 true. Select Yes or No for each value.
Answer:
Yes, no, yes
Step-by-step explanation:
Answer:
Yes, No, Yes
Step-by-step explanation:
Please help. I need to figure out how these two triangles are similar
Answer:
3.
Step-by-step explanation:
what is value of x?
help ASAP pls !!!
What is the equation of a line that goes through the points (-5, 1) and (-4. 6 points
3)?
What is the length of d?
Solve the equation, 2x + 1 = 3, for x. Which of the following properties of equality did you apply? Question 11 options: A) Addition and division B) Addition and multiplication C) Subtraction and multiplication D) Subtraction and division
Answer:
D
Step-by-step explanation:
2x+1=3
-1 on both sides: 2x=2, then divide by two. You get x=1
For this you would use D, subtraction and division
Answer:
x = 1
D) Subtraction and Division
Step-by-step explanation:
2x + 1 = 3
(2x + 1) - 1) = (3) - 1 ←
2x = 2
(2x)/2 = (2)/2 ←
x = 1
In the places where I put the arrows is where I applied the properties. I used subtraction and division to solve.
Find the measure of each missing angle
Answer:
See below;
Step-by-step explanation:
Consider the steps below;
[tex]1. Measure of Angle 1 - m< 1 + m< 2 = 180, ( Considering They Form A Linear Pair ) m< 1 + ( 145 ) = 180,\\m< 1 = 35 degrees\\\\2. Measure of Angle 2 - m< 2 = m< 4, ( Considering They Are Vertical Angles ),\\m< 2 = 145 degrees\\\\3. Measure of Angle 3 - m< 3 = m< 1, ( Vertical Angles ),\\m< 3 = 35 degrees\\\\4. By Alternate Interior Angles Theorem - m< 5 = m< 3,\\m< 5 = 35 degrees\\\\5. By Vertical Angles Theorem - m< 6 = m< 4,\\m< 6 = 145 degree\\\\[/tex]
[tex]\\\\\\6. By Corresponding Angles Theorem - m< 7 = m< 3,\\m< 7 = 35 degrees,\\\\7. By Corresponding Angles Theorem - m< 8 = m< 4,\\m< 8 = 145 degrees[/tex]
Thus, we derive such a solution;
m∠ 1 = 35°, m∠ 2 = 145°, m∠ 3 = 35° , m∠ 5 = 35° , m∠ 6 = 145° , m∠ 7 = 35° , m∠ 8 = 145°
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Express in simplified exponential notation.
x3 • x5 =
.
Answer:
[tex]x^8[/tex]
Step-by-step explanation:
Given the expression: [tex]x^3 \cdot x^5[/tex]
We are required to express it in simplified exponential notation.
We apply the addition law of indices below.
Given two expressions [tex]a^x$ and a^y[/tex] with same base a, then: [tex]a^x \cdot a^y=a^{x+y}[/tex]
Therefore:
[tex]x^3 \cdot x^5\\=x^{3+5}\\=x^8[/tex]
Find the sum of the measures of the interior angles of a polygon having ten sides
Answer:
1440°
Step-by-step explanation:
Formula for sum of the measures of the interior angles of a polygon is given as:
[tex] (n-2)\times 180°\\
= (10-2)\times 180°..(plug\: n = 10)\\
= 8\times 180°\\
= 1440°
[/tex]
Racquetballs are sealed in a pressurized container to maintain the rebound percentage
of the balls. A racquetball has a rebound percentage of 83% when it is taken out of the
pressurized can. Suppose a racquetball is dropped from a height of 3 meters onto a
racquetball court. Use the rebound rate given to predict the height of the ball after the
first 5 bounces
Answer:
1.182 meters.
Step-by-step explanation:
We have that the initial height is 3 meters, we know that after each rebound it recovers 83% of the original height, therefore:
First bounce:
3 * 0.83 = 2.49
Second bounce:
2.49 * 0.83 = 2.0667
We can deduce a formula here:
hn = 3 * (0.83) ^ n
where is the bounce number, we know that the bounce number that we want to find the height is 5, therefore:
h5 = 3 * (0.83) ^ 5
h5 = 1.182
which means that at the fifth bounce, the height is 1.182 meters.
The ratio of the number of sheep to the number of horses on a farm is 8:3. If there are 42 horses on the farm, how many sheep are on the farm?
Answer:
112
Step-by-step explanation:
8:3
?:42
do 42 divided by 3 which is 14
so 14 times 8 which is 112
hope this helps
The product of 4 and the difference of x and 3 is 54
Answer:
x = 16.5
Step-by-step explanation:
the original equation is: 4(x - 3) = 54
first divide both sides by 4: x - 3 = 13.5
finally add both sides by 3: x = 16.5
In circle A shown below, the measure of ∠BAD is 148°: Circle A with angle BAD measuring 148 degrees; points B, C, D lie on Circle A. If m Arc BC is 96°, what is m Arc CD ?
Answer:
52°
Step-by-step explanation:
In the figure attached, Circle A is shown. There we can see that:
∠BC + ∠CD = ∠BAD
We know that Arc BC measures 96° and arc BAD measures 148°. Replacing this data into the equation and solving for Arc CD, we get:
96° + ∠CD = 148°
∠CD = 148° - 96°
∠CD = 52°
Answer:
The answer is 52
HELP ASAP I WILL GIVE YOU THE POINTS !!!!
What is the area of this polygon?
Enter your answer in the box.
Answer:
can you put the picture of the question
Step-by-step explanation:
sub to pewdiepie
plz help with this question
Identify the equivalent expressions of 4(2x + x – 3) – 3x + 3 by substituting x = 2 and x = 3.
Answer:
9
18
Step-by-step explanation:
x = 2:
4(4 + 2 - 3) - 6 + 3 = 12 - 6 + 3 = 9
x = 3:
4(6 + 3 - 3) - 9 + 3 = 24 - 9 + 3 = 18
Answer:
9x -9
9(x - 1)
4(3x-3) - 3x + 3
Step-by-step explanation:
4(2x + x-3) - 3x + 3
Combine like terms
4(3x-3) - 3x + 3
Distribute
12x -12 -3x+3
Combine like terms
9x -9
Factor out 9
9(x-1)
Is this correct or not i need to knowww :(
Answer:
Step-by-step explanation:
That one is a hard one, I dunno tho
Answer:
Yes, the equation selected is correct :)
Explanation:
This might look kinda complicated, but the black line is your answer & the green points are from the table. The black line is the closest to all the points and has a slope that keeps it with the trend of the table.
Which is the graph of y = [X] - 2?
Two trucks started toward each other at the same time from towns 500 km apart. One truck traveled at a rate of 65 km
per hour while the other traveled at 60 km per hour. After how many hours did they meet?
А
If x represents the number of hours, which of the following equations could be used to solve the problem?
Answer: 4 hrs
Step-by-step explanation: D=RT
500=(65+60)T
500=125T
T=500/125
T=4 HOURS THEY'L MEET.
Five people were eating apples, A finished before B, but behind C. D finished before E, but behind B. What was the finishing order?
Answer:
cdb
Step-by-step explanation:
Answer:
A
C
D
B
E
Step-by-step explanation:
Hope that helps
please help! math asap
Answer: y=3/5x-4
Step-by-step explanation:
the slope is rise/run
the y intercept is where the line meets the y axis
2 4 6 = 2
Fill in the blanks
Answer:
2x4-6
Step-by-step explanation:
2x4 is 8, and 8-6=2. Therefore 2x4-6=2
30 points for the right answer! Please I need helpies.
a. What should the total of all of the probability be? Show your work.(you need a common denominator)
b. What is the probability of eating no cookies?
c. What is the probability of eating two or fewer cookies?
d. What is the probability of not eating 2 cookies?
Answer:
a. What should the total of all of the probability be?
it is 100% which is equal to 1b. What is the probability of eating no cookies?
23% as per table (23% against 0)c. What is the probability of eating two or fewer cookies?
23% (for 0 )+0.16 (for 1)+16/50 (for 2)= 0.23+0.16+0.32= 0.71 = 71%d. What is the probability of not eating 2 cookies?
1-16/50= 34/50= 0.68 = 68%The line plots show the number of minutes two different age groups of teenagers spent online the previous week.
Select from the drop-down menus to complete each statement.
1) The range is _______.
a) is greater for data set one (13-15-year-olds)
b) is greater for data set two (16 to 18-year-olds)
c) is the same for both sets of data
2) The mean _________.
a) is the same for both sets of data
b) is greater for data set one (13-15-year-olds)
c) is greater for data set two (16 to 18-year-olds)
Answer:
Step-by-step explanation:
13-15 year olds:
Range: 13
Mean: 27.4
16-18 year olds:
Range:24
Mean: 28.05
Therefore,
1) the range is greater for set two
2) the mean is greater for set two as well
Answer:
1. B
2. C
Step-by-step explanation:
which of the following division sentences does the figure below model
A:1/2 DIVIDED by 1/3
B:1/3 divided by 2
C:2 divided by 3
D:1/2 divided by 1/4
please help I need this answer for my leap test
