Answer:
Height = 5 ft
Base = 11 ft
Step-by-step explanation:
The area of a parallelogram is
Base × Height
From the question:
The base of a parallelogram is 6 ft more than the height.
Base = 6ft + h
If the area of the parallelogram is 55 ft^2,
what are the measures of the base and the height?
This is calculated as:
55 ft² =( 6 + h ) × h
55 = 6h + h²
h² + 6h - 55 = 0
h² +5h - 11h - 55 = 0
h(h + 5) - 11(h + 5) = 0
(h + 5)(h - 11) = 0
h - 11 = 0
height = 5ft
Base = 6 + h = 6 + 5
Base = 11ft
Find the side lengths asked below:
Answer:
WZ=
UZ=
Step-by-step explanation:
First, you have to find the x.
3x-6+x+6
Combine like terms
(3x+x) (-6+6)
4x+0
x=4.
WZ=3(4)-6
12-6
6
UZ= (4)+6
10
While on a business trip to Brookfield, Haley treated her co-workers to a meal that cost $50. Haley knew that when the bill came, she would need to pay Brookfield sales tax of 14% and would want to leave an 18% tip on the original $50. Including tax and tip, how much did Haley's meal cost?
Answer:
$66
Step-by-step explanation:
The meal cost $50 without taxes.
The cost of tax:
$50*%14= $7
so she will pay a $7 tax
Also, she wants to tip %18 of the original $50 so:
$50*%18= $9
so she will tip $9
$50 + $7 + $9 = $66
A manufacturing plant is capable of producing 10 tons of product per day when it runs three shifts with no breakdowns and plenty of raw materials. Over the past week, the plant has produced an average of 7.3 tons per day because the third shift has devoted much of their time to preventive maintenance. What is the utilization of the plant?
Answer: 73%
Step-by-step explanation:
The plant is capable of producing 10 tons of product in one day.
Currently however, it is only able to produce 7.3 tons per day.
Utilization is therefore:
= Actual production/ Potential production * 100
= 7.3/10 * 100
= 73%
 this one is really hard
Answer:
142
Step-by-step explanation:
opposite angle theorem
Answer:
D. 142
Step-by-step explanation:
They are vertical angles which are always equal
The aquarium where Evan works has a special tank for the baby sharks. The tank is shaped like a rectangular prism and is 18 meters long by 15 meters wide. It is 8 meters from the bottom of the tank to the top. What is the volume of the shark tank?
Answer:
The volume of the shark tank is [tex]2160 m^3[/tex]
Step-by-step explanation:
The tank is in the shape of a rectangular prism.
The length of the tank, [tex]l=18[/tex] m.
The width of the tank, [tex]w=15[/tex] m.
The height of the tank, [tex]h=8[/tex] m.
We know that, volume of a rectangular prism [tex]=l\times w \times h[/tex].
So, the volume of the tank [tex]=18\times 15\times 8=2160 m^3[/tex]
Hence, the volume of the shark tank is [tex]2160 m^3[/tex].
I need help, I don't quite understand
Answer:
1
Step-by-step explanation:
so we have:
f+2>5 2 goes the other side, so
f>5-2
f>3
f+4<9 4 goes to the other side, so
f<9-4
f<5
we have two inequality
f>3
f<5
f belongs (3,5), we have only one value for this, it is 4
Please help it’s urgent !!
Answer:
2 is the correct answer you know it also
Help me please. I'll give Brainliest.
Emily wants to buy a new Gucci purse. She goes into the store and sees that they are running a January Blowout Sale and all purses are 60% off! She finds one that she likes and the tag reads $475.00. How much is Emily going to spend?
Answer:
Emily is going to spend $285
Step-by-step explanation:
You need to multiply 475.00 by 0.60 to get 285 spent on Emily's new purse.
please help me !!!!
Flying against the wind , an airplane travels 3660 kilometers in 6 hours. flying with the wind , the same plane travels 3800 kilometers in 4 hours. what is the rate of the plane in still air and what is the rate of the wind?
Answer:
...
against the wind, an airplane travels 3640 km in 7 hours.
with the wind, the same plane travels 6000 km in 6hrs.
...
let speed of plane in still air be x mph
speed of wind be y mph.
..
t=d/r
..
against wind speed = x-y mph
with wond speed = x=y mph
...
3640/(x-y)=7
3640 = 7x-7y
/7
520=x-y.....................1
...
6000/x+y = 6
6000 = 6x+6y
/6
1000=x+y.....................2
...
Add (1) & (2)
2x=1520
/2
x=760 mph speed of plane in still air
...
plug value of x in 2
1000=760+y
100-760=y
240 = y
240 mph speed of wind
PLEASE HELP FAST ( i will give brainliest)
Answer:
Step-by-step explanation:
60+30=90
180-90=90
60+30+90=180
so the x is 90
Answer:
x=3.5 if rounded if not than 3.4
Step-by-step explanation:
50 points please help!!!
Answer:
the answer would be B.
Step-by-step explanation:
it's the correct answer
Answer:
A
Step-by-step explanation:
I think you have to divide in these and so 16 ÷ 8 = 2 and 3+3 = 6 for the powers
The perimeter of a college basket ball court is 96 m and the length is 14m
more than the width. What are the dimensions?
width=17m
length= 31m
Step-by-step explanation:
width = x
length= x+14
perimeter = 96m
2(x+x+14)=96
4x+28=96
4x=68
x=17
width=17m
length= 31m
I need help on this question
Answer:
X^2+13x+40=area
Step-by-step explanation:
So its
(x+8)*(x+5)
Now solve
Use FOIL
x^2+5x+8x+40
Now combine
x^2+13x+40
There you have it
Can u pls help me with this question
For the trinomial x^2-11x+10 determine if the factors of c will will be both positive, both negative, or opposite signs.
Answer:
Two negatives
Step-by-step explanation:
I'm assuming by 'factors of c' you mean factors of the last term. For the entire trinomial, we know that there are two negative signs. To be able to get a negative 11x and then a positive 10, we would need two negatives, since two negatives equal a positive. Hope that helps!
Dana's car averages 28 miles per gallon of gas, and it currently contains 1 gallon of gas. If
Dana adds $10.00 worth of gas, sold for $2.50 per gallon, how many miles can he expect to
drive before running out of gas?
Answer:
140 miles
Step-by-step explanation:
10/2.5=44 gallons + 1 gallon= 5 gallons28 miles per gallon28*5 or 28+28+28+28+28=140
Judy's heart beats 70 times a minute. At this rate, how many times does her heart beat in an hour?
Answer:
4,200 hbph
Step-by-step explanation:
Hope this helps and have a great day!!!
Answer:
4200 times
Step-by-step explanation:
If there is 70 beats in a minute, and 60 minutes in an hour. All you do is 70*60.
PLEASE HELP ASAP IT'S DUE TODAY Use the graph of the function below to answer the questions that follow.
Answer:
So for..
a. from: 2 to: 4
b. from: 0 to: 2 ( I believe this one, may be incorrect- sorry if so)
c. from: 6 to: 10 ( I believe also for this one, sorry if incorrect)
d. from: 5 to: 6 ( I beleive- that is what it looks like- sorry if incorrect)
e. They are staying at a constant rate, not changing, at rest...
Hope this helps!
A company rents out 10 food booths and 25 game booths at the county fair. The fee for a food booth is
$100 plus $6 per day. The fee for a game both is $50 plus $7 per day. The fair lasts for n days, and all the
booths are rented for the entire time. Enter and simplify an expression for the amount in dollars that the
company is paid.
Answer:
49?
Step-by-step explanation:
Which equation represents the pattern in the table?
7x^2a+7xa^2
Find the greatest common factor
Answer:
GCF is 7xa
Step-by-step explanation:
Answer:
hCf is 7ax
plz refer to the picture
plz mark as brainliest
A publishing company creates a book for young children. To find the number of pictures on the page, the book says to multiply the page number by 3 and add 1. She discovers this pattern:
Which would best complete the pattern?
A. 4 x 3 = 12, 4 + 12 = 16, 16
B. 4 x 3 = 12, 12 + 1 = 13, 13
C. 4 x 3 = 12, 12 = 3, 3
D. 4 + 3 = 7, 7 x 3 = 21, 21
Answer:
B
Step-by-step explanation:
B is the only choice that has both all of the steps, and all of the steps in the right order.
Answer:
21
Step-by-step explanation:
which phrase represents 3-7x
Answer:
3 less 7x
Step-by-step explanation:
I think soooo
not sure either
Answer: 3 - 7x = D) The difference between three and seven times a number. This expression is known because the words times and difference are your key words. Times means multiplication and difference means subtraction.
The difference between three and seven times a number.
HOPE THIS HELPS
I don’t understand, can someone please help.
Answer: 40
Step-by-step explanation:
Answer:
x=20
Step-by-step explanation:
All triangles has the sum of the internal angle equal to 180
2x+10+3x+x+50=180
Combine like terms
6x+60=180
Subtract 60 on both sides
6x=120
Divide 6 on both sides
x=20
Hope it helped :))
The system of equations has .
Answer:
A System of Equations has two or more equations in one or more variables Many Variables So a System of Equations could have many equations and many variables.
Step-by-step explanation:
A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.
Reduce to simplest form.
-7/12 +3/8
Answer:
-5/24
Step-by-step explanation:
here u gooo :).....
Find sin(90°).
45°
A.0
В.1
C. square 2
D. square 2 / 2
Answer:
sin90° = 1.
Step-by-step explanation:
Using the diagram, we notice that the side opposite of the 90° angle is the hypotenuse itself.
Therefore sin90° = Hypotenuse/Hypotenuse = 1.
Which set of expressions below does NOT represent equivalent expressions?
A. 8(3x + 7) and 8(3x) + 8(7)
B. 3(8x + 7) and 11x + 10
C. 7(3x + 8) and 7 ∙ 3x + 7∙ 8
D. 3(7x + 8) and 21x + 24
Answer:
B
Step-by-step explanation:
The other are equal
Which of the following is not a geometric tool?
A.Compass
B.Pen
C.Protractor
D.Set Squares
Answer:
C. Protractor
Answer:
A
Step-by-step explanation:
A compass is for directions.
