Answer:
±3
Step-by-step explanation:
x² = 9
Taking square root on both sides,
x = 3
The length of a rectangle is 1 foot more than twice the width. The area is 55 square feet. Find the length of the dimension of the rectangle.
Answer:
11 ft
Step-by-step explanation:
The formula for the area of a rectangle of length L and width W is
A = L * W.
Represent the length, L, by 2W + 1 ("1 more than twice the width"). Then the area formula (above) becomes:
A = 55 ft^2 = (2W + 1)(W), which, when simplified, results in:
2W^2 + W - 55 = 0, whose coefficients are {2, 1, -55}. Let's use the quadratic formula to solve this for W:
The discriminant, b^2 - 4ac, is 1^2 - 4(2)(-55), or 441. The square root of 441 is 21. Thus, the quadratic formula gives us:
-1 ± 21
W = ------------- = (1/4)(-1 + 21), or W = 5 and W = -22/4 = -11/2
2(2)
A measure of length can't be negative, so we reject W = -11/2 in favor of W = 5.
Then, according to the formula for L that we found earlier, L = 2W + 1, or
L = 2(5) + 1, or L = 11.
Check: Does L * W result in an area of 55 ft²? Yes
The length dimension of the rectangle is 11 ft
explain why 8.0 is greater then 0.8
Answer:
since the eight in the second number is to the right of the decimal, and there id no other number on the left, the second number isn't even a whole number. It is four fifths of a whole. while the eight in the first number is to the left of the decimal it is a whole number eight times. like, which is more eight cookies or a part of one cookie.
Step-by-step explanation:
What is the value of x?
0 12
O 10
06
08
Answer:
8
total degree inside pentagon is (n - 2) x 180 = 540
180-62 = 118
180-66 = 114
180-77 = 103
180-59 = 121
118+114+103+121 = 456
540 - 456 = 84
84 + 12x = 180
12x = 180-84
x = 96/12
x = 8
The value of x in the given pentagon is 8.
Option D is the correct answer.
What is a Pentagon?A pentagon is a polygon that has five sides and five angles.
The sides and angles of a pentagon are not all equal unless it is a regular pentagon.
A regular pentagon has five equal sides and five equal angles.
We have,
For a pentagon, n = 5, so we have:
total degree = (5 - 2) × 180 degrees
total degree = 3 × 180 degrees
total degree = 540 degrees
Now,
Each angle makes a straight angle.
So,
77 + a = 180
a = 180 - 77 = 103
59 + b = 180
b = 180 - 59 = 121
c + 66 = 180
c = 180 - 66 = 114
d + 62 = 180
d = 180 - 62 = 118
Now,
a + b + c + d + e = 540
103 + 121 + 114 + 118 + e = 540
e = 540 - 456
e = 84
Now,
12x + 84 = 180
So,
12x = 180 - 84
12x = 96
x = 8
Thus,
The value of x is 8.
Learn more about the Pentagon here:
https://brainly.com/question/30182047
#SPJ7
Which segment is closest in lenght to √10?
_
AC
_
DE
_
AD
_
AB
please help me I DO NOT UNDERSTAND
Of the 45 staff members at SEMS ,9 were out with the flu one day in January. What percent of the teachers were at work today?
Answer:
80%
Step-by-step explanation:
Given that Of the 45 staff members at SEMS ,9 were out with the flu one day in January, it means that the number of people at work
= 45 - 9
= 36
As a percentage,
= 36/45 * 100%
= 4/5 * 100%
= 80%
The percent of the teachers were at work today is 80%
what tell the hardware what to do and and how to do it
Answer:
I am assuming you are telling me to tell a piece of hardware what to do and how so in that case, Hammer go hammer in that nail by hitting yourself on its head so I can hang this painting. LOL
Step-by-step explanation:
Which expressions are equivalent to (5g+3h+4)\cdot2(5g+3h+4)⋅2left parenthesis, 5, g, plus, 3, h, plus, 4, right parenthesis, dot, 2 ?
Answer:
C None of the above
Step-by-step explanation:
Here are the required options
Choose all answers that apply
A (5g+3h).8
B (5g+3h).6
C None of the above
Given the expression;
(5g+3h+4).2
Expand
(5g+3h+4).2
= 2(5g+3h+4)
= 2(5g) + 2(3h) + 2(4)
= 10g+6h+8
Checking option A;
(5g+3h).8
Expand
= 8(5g+3h)
= 8(5g) + 8(3h)
= 40g+24h
Checking option B:
(5g+3h).6
Expand
= 6(5g+3h)
Using the distributive law;
= 6(5g) + 6(3h)
= 30g+18h
Since none of the expressions for A and B is equivalent to 10g+6h+8, hence NONE of the options are correct
Answer:
C
Step-by-step explanation:
On khan
HEEEEEELPPPPPPPPPPPPPPPPPP PLSSSSSSSSSSSSSSSSSSSSS
Answer:
g(n) = 18 - 4n
Step-by-step explanation:
Given the recursive formula
g(n) = g(n - 1) - 4 with common difference d = - 4 and g(1) = 14
The explicit formula for an arithmetic sequence is
g(n) = g(1) + (n - 1)d , then
g(n) = 14 - 4(n - 1)
= 14 - 4n + 4
= 18 - 4n
slope that falls between (0,20) and (20,85)
Answer:
13/4
Step-by-step explanation:
To find the slope we use the equation
m= (y2-y1)/(x2-x1)
= (85-20)/(20-0)
= 65/20
= 13/4
what is the average of 2,2,8and12
Answer:
The average is of 2,2,8,12 is 6
Answer:
6
Step-by-step explanation:
2+2+8+12= 24/4= 6
hope this helped! :)
The length of a rectangle is 5 units more than twice its width. Find an expression for the perimeter of the rectangle.
5) A savings account earns 4.5% annual simple interest. The principle is
$1300. What is the balance after 3 years? *
Answer:
$1483.52
Step-by-step explanation:
P=principle
Fn=total at the end of a given year(=n) (subscript)
I= interest in decimal
F=P(1+I)
at end of first year F1=P(1+I)
at end of second year F=F1(1+I)= P(1+I)(1+I)= P(1+I)^2
or in general Fn=P(1+I)^n
Kayla uses mental math to find the product of $11.97x5, but she made a mistake.Her steps are shown. Step 1: Round $11.97 to $12. Step 2: multiply $12.00x$5=60 Step 3: subtract $12.00-$11.97 Step 4: subtract $60.00-$3.00=57.00. Select witch one is where Kayla made her first mistake.
Answer:
Step 4.
Step-by-step explanation:
Given that Kayla uses mental math to find the product of $ 11.97x5, but she made a mistake, and knowing that her steps were the following:
Step 1: Round $ 11.97 to $ 12.
Step 2: multiply $ 12.00x $ 5 = 60
Step 3: subtract $ 12.00- $ 11.97
Step 4: subtract $ 60.00- $ 3.00 = 57.00.
To determine in which one is where Kayla made her first mistake, the following reasoning must be performed:
Rounding from 11.97 to 12 implies a difference of 0.03 that must be multiplied by 5, the result of which is 0.15.
Thus, from the result of 12 x 5 (60), 0.15 must be subtracted, and not 3, as was subtracted in Step 4. Therefore, Step 4 is the one where the error occurred.
ANSWER ASAP
1. Given the solution, determine the missing
term. Explain your steps and show any work
in finding the solution,
25x3 +__x² - x - 4
Solution: (x + 4)(5x + 1)(5x – 1)
Answer:
100x^2+x-4
Step-by-step explanation:
x + (4 • (5x + 1) • (5x - 1))x + 4 • (5x + 1) • (5x - 1)Factoring 100x2+x-4 The first term is, 100x2 its coefficient is 100 .The middle term is, +x its coefficient is 1 .The last term, "the constant", is -4 Step-1 : Multiply the coefficient of the first term by the constant 100 • -4 = -400 Step-2 : Find two factors of -400 whose sum equals the coefficient of the middle term, which is 1 . -400 + 1 = -399 -200 + 2 = -198 -100 + 4 = -96 -80 + 5 = -75 -50 + 8 = -42 -40 + 10 = -30 -25 + 16 = -9 -20 + 20 = 0 -16 + 25 = 9 -10 + 40 = 30 -8 + 50 = 42 -5 + 80 = 75 -4 + 100 = 96 -2 + 200 = 198 -1 + 400 = 399What’s the missing side length
Find the value of each variable. If your answer is not an integer, write it in simplest radical form with the denominator
Y=
Z=
Answer:
6
Step-by-step explanation:
1,500/25= 60
Now your gonna do
90
Find the area and the circumference of a circle with diameter 8 ft.
Use the value 3.14 for it, and do not round your answers. Be sure to include the correct units in your answers.
ft
ft?
ft
8 ft
Area:
Circumference:
X Х
?
Answer:
Step-by-step explanation:
Circumference
C = 2*pi * r
pi = 3.14
r = d / 2
r = 8/2
r = 4 feet
C = 3.14 * 2 * 4
C = 18.84 feet.
Area
pi = 3.14
r = d/2
r = 8/2
r = 4
Area = 3.14 * 4^2
Area = 3.14 * 16
Area = 50.24 ft^2
what is 89 +2 Divided by 1000x2
Answer:
89.004
Have a good day :)
Juan and Rob are selling cookie dough for a school fundraiser. Juan has t tt cookie dough orders, and Rob has 40 4040 cookie dough orders. They have a total of 75 7575 cookie dough orders all together.
Answer:
35 cookie dough orders
Step-by-step explanation:
Juan and Rob are selling cookie dough for a school fundraiser. Juan has t cookie dough orders, and Rob has 40 cookie dough orders. They have a total of 75 cookie dough orders all together.
We have to calculate the number of cookie dough that Juan has.
The expression for the above question is given as:
t + 40 = 75
We collect like terms
t = 75 - 40
t = 35
Therefore, Juan has 35 cookie dough orders
Which equation has a graph parallel to the graph of
y = -2/3x + 2
Answer:
B
Step-by-step explanation:
The answer is b because the number is supposed to be next to the first number
Plz plz plz helpppppplllpl
Answer:
both 20 and 12 but, 12 can be more accurate. Depends on your teacher's point of view.
please mark as brainliest
HELPPP WILL GIVE BRAINLIST
Answer:
6. A
7. D
8. B
9. C
10. B
Step-by-step explanation:
Answer:
A D B C B
Step-by-step explanation:
Mark and his three friends ate out at Applebee’s. (Hint* 4 total people)
Their bill totaled $52.35.
If they left the server a 20% tip, how much would each person pay splitting the bill evenly?
(Round to the nearest dollar and cent)
Answer:
16 each
Step-by-step explanation:
15.71
Answer:
each person $15.67=$15.7
Step-by-step explanation:
20/100*52.35=10.47
52.35+10.47=$62.68 total
62.68/4=15.67
each person $15.67 =15.7
Is -16 rational or irrational
Answer:
irrational number
Step-by-step explanation:
All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point. The number 22/7 is a irrational number.
What is the area of the rectangle?
A. 6,000 units2
B. 6,100 units2
C. 6,660 units2
D. 6,666 units2
Pleaseeee help! ASAP!
Answer:
Both slopes are as follows 1. 2 2. 2/5
Both equations are like
1.
16-12= 4
-----------=2
4-2= 2
=====
2.
10-4= 6
------------=2/5
20-5= 15
The Y intercept for both is as follows
1. 8
2. 2
I may be wrong on something but likely not and if I am sorry
Select the proportion of sides relationships that would prove ABC is congruent by the side angle side similarity theorem
M. A rectangular swimming pool is 5.4 m long and
3.5 m wide. It has a
path 0.5 m wide
Path
around it. What is
the area of the path?
Swimming pool
NEED HELPPPPP
Answer:
i need help please with my maths
Step-by-step explanation:
Please help.
Algebra.