Answer:
Length = 5 feet
Width = 4 feet
Step-by-step explanation:
Perimeter of the sandbox = 18 feet
Perimeter of a rectangle = 2(length + width)
the length of the sandbox is one foot longer than the width
Let
Width = x
length = x + 1
Perimeter of a rectangle = 2(length + width)
18 = 2{(x+1) + x}
18 = 2{x + 1 + x)
18 = 2(2x + 1)
18 = 4x + 2
4x = 18 - 2
4x = 16
Divide both sides by 4
x = 16/4
= 4
Width = x = 4 feet
length = x + 1
= 4 + 1
= 5 feet
If you were to rotate the point (-5,8) around the origin 270 degrees counterclockwise what would the new coordinates be?
Answer:
5,8
Step-by-step explanation:
A point (-5,8) rotated around the origin 270 degrees counterclockwise will have coordinates (-8, -5).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
We know when we rotate a point counter-clockwise the coordinates (x, y) becomes (-y, x).
Given, A point (-5,8) around the origin 270 degrees counterclockwise.
∴ The new coordinates of the points will be (-8, -5).
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while remodeling his kitchen, Arthur paints the cabinets. he estimates that he paints 30 square feet every 20 minutes. how many square feet does arthur paint per hour
Answer:
90 square feet per hour
Ranjit wants to measure the length of a table, but has no ruler or
tape measure. Using what he has at hand, he finds that the table is
about as long as 6 unsharpened pencils laid tip to tip. If each
unsharpened pencil measures 18 centimeters in length, what is the
length of the table, in centimeters?
9514 1404 393
Answer:
108 cm
Step-by-step explanation:
6 pencil-lengths will be ...
6 × 18 cm = 108 cm
The length of the table is 108 cm.
Answer:
108 cm
Step-by-step explanation:
6 pencil-lengths will be
6 × 18 cm = 108 cm
The length of the table is 108 cm
Help please! I just don’t understand
===================================================
Work Shown:
(angle HID) + (angle DIJ) = angle HIJ
(100) + (8x+11) = 21x+7
100+8x+11 = 21x+7
8x+111 = 21x+7
111-7 = 21x-8x
104 = 13x
13x = 104
x = 104/13
x = 8
Use this x value to find angle HIJ
angle HIJ = 21x+7
angle HIJ = 21*8+7
angle HIJ = 175 degrees
---------------------------
Extra info:
You can also use that x value to find angle DIJ
angle DIJ = 8x+11
angle DIJ = 8*8+11
angle DIJ = 75
Then add this to angle HID to get
angle HID + angle DIJ = 100+75 = 175
This matches with angle HIJ = 175
So this confirms angle HID + angle DIJ = angle HIJ which helps confirm our answers.
The width of a rectangle is modeled by the function w(x) = 3x – 6, and the length of the rectangle is modeled by the function l(x) = 5x + 7. How can the functions be combined to find a function, a(x), that models the area of the rectangle?
a(x) = 8x + 1
a(x) = 16x + 2
a(x) = 15x2 – 9x – 42
a(x) = 30x2 – 18x – 84
Answer:
15x^2 - 9x - 42
Step-by-step explanation:
(3x+6)(5x+7)
15x^2 +21x - 30x -42
15x^2 - 9x - 42
Christine has a rope that is 9 meters long. She cuts away a plece that is 3.29 meters long. How long is the remaining plece of rope?
Answer:
9.00-3.29= 5.71 meters rope remaining
3 Geometry problems. Please help!
10) These angles are vertical angles.
Whenever two lines intersect, vertical angles are always formed.
Vertical angles are always congruent so we know that b = 43°.
1) Notice that there is a box at the vertex of <EBF.
This tells us that it measures exactly 90 degrees.
Also note that <ABC is a straight angle which means its 180 degrees.
So we have x + 10 + 90 + 2x + x = 180.
First simplify the left to get 4x + 100 = 180.
Solving from here, we find that x = 20.
2) Notice that <AEC and <DEB are vertical angles.
Vertical angles are congruent so we
can setup the equation 3x + 18 = 5x + 6.
First subtract 3x from both sides to get 18 = 2x + 6.
Now subtract 6 from both sides to get 12 = 2x.
Solving from here, we have x = 6.
Read where it says Let C be
Thank you for helping me
Answer:
v=8
Step-by-step explanation:
Given that the polynomial f(x) has 3 intercepts, which of the following most accurately describes the degree of f(x)?
Answer:
the degree of f(x) is 3
Step-by-step explanation:
fundamental theorem of algebra
The degree of function f(x) is at least 3.
How to determine the number of root from the number of intercepts of the function?The function has n intercepts i.e. it touches the x-axis n times, then the function will have at least n roots.
And as we know if the degree of the function is n then the number of roots of the function is n.
So, if the function has n intercepts, then the function has at least n degrees.
Here given that the polynomial function f(x) has 3 intercepts.
Then from above, it is clear that the function will have at least 3 roots.
And the function will have at least 3 degrees.
Therefore If the polynomial f(x) has 3 intercepts, then The degree of function f(x) is at least 3.
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find the greatest common factor of the terms: 35a⁴b⁸, 49a²b⁵, 14ab⁴?
Answer:
7ab^4
Step-by-step explanation:
all of the coefficients have 7 as a GCF. for a and b you can only pull out as much as the lowest term.
that should be correct and hope this helps!
what is 1.8399 rounded to the nearest tenth
Answer:
1.8400
Step-by-step explanation:
If there are 624 calories in 3 servings, how many calories are in 1 serving?
Answer:
208 calories per serving
Step-by-step explanation:
Divide 624 by 3.
Answer:
208 calories in 1 serving
Step-by-step explanation:
624 divided by 3
Jordan has a garden that is enclosed by a rectangular fence. The perimeter of the garden is 84 feet. The length of one side of fencing is 8 yards. What is the area of Jordan's garden?
Answer:
504 ft
Step-by-step explanation:
Perimeter = 2(width) + 2(length)
Convert yards to feet
1yard=3feet
8yards=?
8*3/1 = 24feet
84 = 2(w) + 2(24)
84 = 2w + 42
84 - 42 = 2w
42 = 2w
w = 21
Area = 1 * w
= 21 * 24
= 504 ft
What number is 1% of 37.25
Answer:
1% of 37.25=0.3725
Can someone write 3^x − 4 = 6 in its logarithmic form?
Answer:
Step-by-step explanation:
get all x terms on one side, giving you 3^x=10
Then, the simple rule is y=b^x becomes x=logb(base)y
b is 3, x is x, and y is 10
logbase3(10)=x
Mr. George has a bank balance of -42 dollars at the start of the month. After he deposits 6 dollars, the new balance is (with full method pls)
Answer:
$-36
Step-by-step explanation:
-42+6
-36
Find the constant of proportionality and write an equation for the relationship.
Answer:
I have no clue but i have an examm sorry
Step-by-step explanation:
write the sentence as an inequality. A number n plus 8 is greater than 11
The Inequality is ___
Solve the inequality
The solution is ___
Answer:
The Inequality n+8>11
n>3
Step-by-step explanation:
The inequality for the given phrase is n+8>11 and its solution is n∈(-∞,3).
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The given phrase "A number n plus 8 is greater than 11" can be written in the form of inequality as shown below.
A number n plus 8 → n+8A number n plus 8 is greater than 11 → n+8>11Now, the inequality can be solved for the value of n as shown below,
n + 8 > 11
Subtract 8 from both sides of the inequality,
n + 8 - 8 > 11 - 8
n > 3
Hence, the inequality for the given phrase is n+8>11 and its solution is n∈(-∞,3).
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For f(x) = 2x + 1 and g(x) = x^2 - 7, find (f * g)(2)
Answer: x= -5
Step-by-step explanation: Plug 2 into g(x). Plug that answer into f(x).
At Feet-R-Us colored socks are $5 and white socks are $3. Jimmy buys $32 worth of socks. An equation representing this scenario is 5c + 3w = 32. Solve this equation for c, the cost of 1 pair of colored socks
Answer:
$5
Step-by-step explanation:
if you want the cost of 1 pair of colored socks, substitute that into c
5(1) + 3w = 32
5 + 3w = 32
subtract on both sides
3w = 27
this means the amount of pairs of white socks is 9.
multiply by 3
$27
then subtract by 32
$5
he only bought 1 pair of colored socks for $5
Solve the inequality 2x-8 ≤ 14 and graph its solutions on the number line.
Answer:
Step-by-step explanation:
2x-8 ≤ 14
1. Add 8 to both sides of the inequality sign to move the 8 from the left side to the right side.
2x ≤ 22
2. Divide both sides by 2 to get the x alone.
x ≤ 11
3. Make a number line from 8 to 13 (numbers can be changed), draw a circle above the number 11 and fill in the circle.
4. Now, make a line going from the circle to the left and draw an arrow at the end.
Line Z Y also contains points E and G. A line is drawn from point E to point F, and then to point X. Another line is drawn from F to G to form triangle E F G.
Which statements regarding the diagram are true? Check all that apply.
∠XFG is an interior angle of ΔEFG.
∠EFG is an interior angle of ΔEFG.
∠FEZ is an exterior angle of ΔEFG.
∠YGE is an exterior angle of ΔEFG.
∠EGF and ∠FGY are supplementary angles.
∠FEG and ∠FGE are supplementary angles.
Answer:
B) ∠EFG is an interior angle of ΔEFG.
C) ∠FEZ is an exterior angle of ΔEFG.
E) ∠EGF and ∠FGY are supplementary angles.
Step-by-step explanation:
EDG 2020
Answer:
B) ∠EFG is an interior angle of ΔEFG.
C) ∠FEZ is an exterior angle of ΔEFG.
E) ∠EGF and ∠FGY are supplementary angles.
Step-by-step explanation:
person above me is correct!
7-14m=2m=5 please help
Answer:
M=1/6
Step-by-step explanation:
prem gave 1/3 of his property for charity of the rest he gave 2/3 to his wife and rest divided equally between his son and daughter find what part of his property was given to son and daughter
Given parameters:
Fraction given to charity = [tex]\frac{1}{3}[/tex]
Fraction given to wife = [tex]\frac{2}{3}[/tex]
Unknown:
Fraction given to son and daughter =?
Solution:
Let the total property = x
Fraction given to charity = [tex]\frac{1}{3} x[/tex]
Fraction given to wife = [tex]\frac{2}{3} x[/tex]
The remaining was given to son and daughter = F
So;
Total property = fraction given to charity + fraction given to wife + fraction given to son and daughter
x = [tex]\frac{1}{3} x + \frac{2}{3} x + F[/tex]
F = x - ([tex]\frac{1}{3} x + \frac{2}{3} x[/tex])
F = 0
The son and daughter will not inherit anything
What is the additive inverse of the number 3?
3
0
-3
6
Answer:
-3
Step-by-step explanation:
The additive inverse of a number means that the sum of the number, and it's additive inverse will always be zero. The additive inverse is found by simply negating a number or making it opposite.
Therefore, 3 + x = 0, 3 - 3 + x = 0 - 3, x = -3. (x represents it's additive inverse)
Just keep in mind that finding it's additive inverse is usually the best way to do it.
Here are some ways to negate a number:
Zero subtracted by the number. (0 - n) not (n - 0).Multiplying or dividing the number by negative one. (n / -1 or n × -1)Subtracting a number by the second multiple of itself. (n - 2n) not (2n - n).________________________________
41 divided by 100 as a fraction
Answer:
41/100 is 41/100 because it is in lowest term and it can't be expressed in lower term than 41/100
(5,7) (8,13) find the distance between each pair of point . round to the nearest tenth
Answer:
The distance would be 6.7 or 3✓5
Step-by-step explanation:
Im sure there's a faster way to find this, but I'm in 8th grade sooo yeah.
First things first we can use the equation
d=✓(X2-X1)*2+(Y2-Y1)*2
X2= 8
X1= 5
Y2= 13
Y1= 7
From here, you plug in the values and do as followed. You subtract the values to get the answer. For example 8-5 would get us (3)*2.
From here you square the 3 to get 9. You also do the same to the right side of the equation.
Now you have d=✓(3)*2 + (6)*2
From here you square it and you get d=✓9+36
Now we have: d✓45
Now we square the 45 to get 6.7082..., but we round the answer to get 6.7!
Hope this helps! If you have any questions please feel free to ask, as I understand the struggle of math! :)
Answer:
the distance would be 6.7
Step-by-step explanation:
Can I get the answer?
Answer:1 by the 2
Step-by-step explanation:Good job
What is 0.6 divided by 345?
Answer:
its undefined
Step-by-step explanation:
Answer:
.00173913
Step-by-step explanation:
HELPPP PLZ!!!
Can you help me solve this, TYSM