Answer:
x² + 8x + 12
Step-by-step explanation:
Area of a rectangle = length × width
Original dimensions:
Width = x
Length = x + 4
James will increase both dimensions of the floor by 2 feet
New dimensions:
Width = x + 2
Length = x + 4 + 2
= x + 6
Area of the new rectangle = length × width
= (x + 2) × (x + 6)
= x² + 6x + 2x + 12
= x² + 8x + 12
Equation which represents the
new area, N, of the floor of the cage = x² + 8x + 12
Mrs. Thomas has two rolls of garden edging that are each 96 inches long.
She wants to make two new flower beds in her back yard. Each flower bed
will be bordered by one roll of the edging. One flower bed will be in the
shape of a quadrilateral. The other will be in the shape of a triangle.
Please answer all parts. I will give brainliest for correct answer!
Answer:
A) The total length of each edging in her scale drawing would be 19.2 centimeters.
B) Square or rectangle
C) angle α= 53.13 degrees
angle β= 36.87 degrees
height= 32 inches
base= 24 inches
hypotenuse 40 inches.
Step-by-step explanation:
Part A:
If the roll edging is 96 inches long and the scale chosen is
5inches = 1 cm
96inches /5= 19.2cm
The total length of each edging in her scale drawing would be 19.2 centimeters.
Part B:
The quadrilaterals such rectangle square right trapezoid have a pair of 90 degrees angles.
If we choose a square shape then all sides must be equal. And we have a length of 19.2 centimeters.
Dividing 19.2 by 4 gives 4.8 cm for each side.
Figure A shows a square and has 4 sides equal and 4 right angles.
If we choose a rectangle shape then 2 sides must be equal. We have a length of 19.2 centimeters.
Suppose the length is 2 times more than the width
which will give the dimensions as
2*2 x+ 2x= 6x ( length and width denoted by x)
Dividing 19.2 by 6 gives 3.2 cm for each width and 6.4 for the lengths.
Figure B shows a rectangle and has 2 sides equal and 4 right angles.
It depends on which quadrilateral you wish to choose.
Part C:
Using Pythagorus theorem if the base and altitude are given then the hypotenuse can be found out using the following formula.
c²= a² +b²
c²= 6.4² +4.8²
c²= 40.96+23.04= 64
c= √64 = 8
The third side must be equal to 8 centimeters.
Using the formula
Cos α= base / hypotenuse
Cos α=4.8/8
α= Cos (inverse) 4.8/8
α= Cos (inverse) 0.6
α= 53.13 degrees
So angle α= 53.13 degrees
All the angles in the triangle must be 180 degrees.
α + β + 90°= 180°
And angle β= 180-90-53.13= 36.869= 36.87 degrees
The actual dimensions of this triangle are
height= a= 6.4* 5= 32 inches
base= b= 4.8*5= 24 inches
hypotenuse= 8*5= 40 inches.
Matt bowled three strings. His scores were 220, 166, and 181. What was his average for the three strings?
Answer:
189
Step-by-step explanation:
To find his average, we will find the mean. This means we will add 220+166+181 to get 567. When finding the mean we divide the answer but the total amount of addends. In our case we have 3 so we divide 567 by 3.
567 divided by 3 = 189
I hope this helps :DDDDDDDDDDD
find the area and circumference of each figure below. use 3.14 for pi. if needed, round your answer's to the nearest 100ths place.
Answer:
[tex]a \\ area = 10 \times 10 \times 3.14 = 314 \\ circumference = 2 \times 10 \times 3.14 = 62.8 \\ \\ b \\ \: area = 6 \times 6 \times 3.14 = 113.04\\ circumference = 2 \times \times 6 \times 3.14 = 37.68[/tex]
Pls help i know this should be easy but pls help i only have 1 point left after posting this
Answer:
I think it will be
1. integer
2. whole
3. rational
4. rational
I'm not sure but I think this is correct
Step-by-step explanation:
Written as a simplified polynomial in standard form, what is the result when (3x+7)^2 is subtracted from 3?
Given:
[tex](3x+7)^2[/tex] is subtracted from 3.
To find:
The result of the given statement in the standard form of the polynomial.
Solution:
We need to find the result when [tex](3x+7)^2[/tex] is subtracted from 3.
So, the resulted polynomial can be written as:
[tex]P(x)=3-(3x+7)^2[/tex]
On simplification, we get
[tex]P(x)=3-((3x)^2+2(3x)(7)+(7)^2)[/tex] [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]
[tex]P(x)=3-(9x^2+42x+49)[/tex]
[tex]P(x)=3-9x^2-42x-49[/tex]
[tex]P(x)=-9x^2-42x-46[/tex]
Therefore, the resulted polynomial in standard form is [tex]-9x^2-42x-46[/tex].
Judy and 2 friends won $145.00 at a fundraising raffle! They agreed to share the winnings equally. They received one $100 bill, four $10 bills, and five $1 bills
Answer:
There are 3 friends (Judy + 2 friends) who won $145.00
They want to share the winnings equally, but they got:
one $100 bill
four $10 bills
five $1 bills.
Assuming that they can share only those bills, the only way to share the winnings equally is:
Each friend gets one $10 bill
Each friend gets one $1 bill
Then each one gets $11.
And there is a surplus of:
one $100 bill (that can't be divided)
one $10 bill (that can't be divided)
two $1 bill (that can't be divided)
Then:
There is a common pool of $100 + $10 + 2*$1 = $112
And each one of the 3 friends gets $10 + $1 = $11
In the case where they can change the bills, each friend will get:
$145/3 = $48.33
Is 3 a solution to 3x + 5 = 5x + 6 - 2
Answer:
no
Step-by-step explanation:
it's X= 0.5
group like terms
3x - 5x = 6 - 2 - 5
simplify the equation
-2x = -1
divide through by the coefficient of X
x = 0.5
Solve by completing the square.
x2 + 12x + 8 = 0
The diameter of a circle is 13 ft. Find its area to the nearest tenth.
Please help me choose the right answer
HELLLPPPPPPPPP PLEASEEEEEEE PLEASEEEE SOMEONE HELPPPPP
A) x = 15
steps:
90 = 5x + 15
-15 -15
75 = 5x
÷5 ÷5
15 = x
explanation:
< P is 90°
so you have the equation of < P equal 90 to find the x
B) < RQP = 33
steps:
2x + 3
2(15) + 3
30 + 3
33
explanation:
now that you know what x equals you just plug in 15 for the x and solve
Solve for p.
2p + 1=1
5p + 6=7
Answer:
-1/9
Step-by-step explanation:
We need to solve out and find out the value of p . The given equations is.
=> 2p + 1/ 5p + 6 = 1/7
=> 7 ( 2p + 1) = 5p + 6
=> 14p + 7 = 5p + 6
=> 14p - 5p = 6-7
=> 9p = -1
=> p = -1/9
• Hence the value of p is -1/9
Renita's school is 2 miles from her house. She plans to leave 30 minutes before school and hopes to make it on time. How long will it take Renita to ride to school?
Answering is 20:
Step-by-step explanation:
Because it takes her 5 min for a half of mile so add it up and you get 20
1 Pound = 16 ounces
2 Pounds 6 Ounces = blank ounces
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
38 ounces.Thanks.Hope it helps.Answer:
32 ounces........
..
Step-by-step explanation:
.................An ice cream shop offers 6 different flavors of ice cream and 11
different toppings. How many choices are possible for a single
serving of ice cream with one topping?
Answer:
66
Step-by-step explanation:
Since these two events are independent, multiply the two probabilities together:
6*11 = 66 (choices)
What is 2^4 in standard form?
Answer:
2^4=16
Step-by-step explanation:
2^4 is equal to 2x2x2x2 which is equal to 4x2x2 which is equal to 8x2 which is equal to 16. Therefore, 2^4 is equal to 16.
If this has helped you please mark as brainliest
Two similar flagpoles are on either side of a park. The taller of the two flagpoles is 40 feet tall and casts a 32 foot shadow. If the
smaller of the two flagpoles casts a 20 foot shadow, how tall is it
Answer:
28 feet tall
Step-by-step explanation:
What is the solution to the equation? a+5 2/3=9
1. a+5 2/3=9
a+5 2/3+5 2/3=9-5 2/3
a=3 1/3
2. a+5 2/3=9
a+5 2/3+5 2/3+=9+5 2/3
a=14 2/3
3. a+5 2/3=9
a+5 2/3-5 2/3=9+5 2/3
a=14 2/3
4. a+5 2/3=9
a+5 2/3-5 2/3=9-5 2/3
a=3 1/3
Answer: 1-a=31/3
Step-by-step
Step-by-step explanation:
I asked my math teacher, we did the problem together, and I belive this other guy is also right.
Help me please i will mark brainliest
Answer:
The answer is 1/5
Step-by-step explanation:
The answer is 1/5
Identify the domain and range of each function. y = 4^x-5 + 3
Answer:
(- infinity, infinity), (x | x € R)
(-2, infinity), {y | y > -2)
Step-by-step explanation:
I think that's right not sure though
Write the equivalent expression for 3a + 12 using the greatest common factor (for example: for expression 4a + 16, the equivalent expression using the greatest common factor would be 4(a + 4) ).
Answer:
3(a+4)
Step-by-step explanation:
i need an answer...............................
Answer:
8 i think
Step-by-step explanation:
solve for x in the equation
Answer:
x = 12
Step-by-step explanation:
This is a supplementary angle so the right side is equal to 90°. This means the other side must also equal 90°
So subtract 20° from 90° and you get 70°
Next you can just (6(12)-2) or continuously substitute until you get the right answer.
broccoil cost 3.14$ a pound at the market if mary bought 2.5 pounds what was the cost
You have a jar of 20 jellybeans, and 4 are red. Which fraction represents the probability that you will pick a red jellybean out of the jar?
A) 4/20
B) 16/20
C) 20/4
D) 20/16
Answer:
A
Step-by-step explanation:
A probability as a fraction has a value between 0 and 1. That lets out C and D.
B is the answer to a probability of not red, so B is not correct.
The answer is A
Write the equation in slope intercept form for a line that has a slope or -5 and a y-intercept of (0,2)
Answer:
y = -5x + 2
Step-by-step explanation:
y = -5x + b
2 = -5(0) + b
2 = 0 + b
b = 2
y = -5x + 2
Set up the equation and solve.
5) 700 reduced by 4 times Mia's age is 500. How old is Mia?
Answer:
50
Step-by-step explanation:
the equation is 700-4x=500
please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
90 degrees
Step-by-step explanation:
What is 35% of 500?
Help please
Answer:
175
Step-by-step explanation:
500 times 35/100
simplify
Answer:
175
Step-by-step explanation:
Please help me!!!!!!!!!!!!
Answer:
16.03
Step-by-step explanation: