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
what is the answer to x - 4 = -2
Answer: x=2
Step-by-step explanation: add 4 to both sides of the equation.
Find the measure of each angle indicated.
23°
128°
Find the acute angle in the first quadrant used as a reference for
23, 128, 337, 128
The area of the rectangular-shaped lot is 44,075 square feet. The width of the lot is 215 feet. How long is the lot the Mitchells are looking to buy?
Answer:
205 feet
Step-by-step explanation:
44075/215= 205
If the diagonals of a quadrilateral are congruent, is the quadrilateral always a rectangle?
Answer:
Yes
Step-by-step explanation:
The only quadrilaterals with congruent diagonals are squares and rectangles and squares are technically rectangles so the answer is yes.
If the diagonals of a quadrilateral are congruent. Then the quadrilateral is always a rectangle which is false.
What is a quadrilateral?The quadrilateral has four sides and four angles. The sum of internal angles is 360 degrees.
It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
If the diagonals of a quadrilateral are congruent. Then the quadrilateral can be a square or a rectangle.
If the diagonals of a quadrilateral are congruent. Then the quadrilateral is always a rectangle which is false.
More about the quadrilateral link is given below.
https://brainly.com/question/13805601
#SPJ5
Luke wants to send 21 parcels by the Express service.
He does the calculation 20 x £15 = £300 to estimate the cost.
(b)
Explain why Luke's calculation shows the actual cost will be more than £300
Answer:
Because he has to send one more parcel than the estimation.
Step-by-step explanation:
4x – 5.2y + 6y + 7.9x – 8x *
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{4x - 5.2y + 6y + 7.9x - 8x}[/tex]
[tex]\huge\text{COMBINE your LIKE TERMS}[/tex]
[tex]\large\textsf{(4x + 7.9x - 8x) + (-5.2y + 6y)}[/tex]
[tex]\large\textsf{4x + 7.9x - 8x =}[/tex]
[tex]\large\textsf{4x + 7.9x = 11.9x}[/tex]
[tex]\large\textsf{11.9x - 8x = 3.9x}[/tex]
[tex]\large\textsf{4x + 7.9x - 8x = 3.9x}[/tex]
[tex]\large\textsf{(3.9x) + (-5.2y + 6y)}[/tex]
[tex]\large\textsf{-5.2y + 6y = 0.8y}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf3.9x + 0.8y }}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Answer:
3.9x+0.8y
Step-by-step explanation:
4x−5.2y+6y+7.9x−8x
Combine −5.2y and 6y to get 0.8y.
4x+0.8y+7.9x−8x
Combine 4x and 7.9x to get 11.9x.
11.9x+0.8y−8x
Combine 11.9x and −8x to get 3.9x.
3.9x+0.8y
It can also be converted to fraction form:
[tex]\frac{4y}{5}+\frac{39x}{10} = 3.9x+0.8y[/tex]
plz help i can not figure this out
Answer: 30 cubic units
Step-by-step explanation:
Since the base has a volume of 2x3 or 6 and he plans on making the height 5 we must mutliply the base by height to get the new voulme so 6*5=30
Lucas is making 12 jumbo muffins to sell at his class bake sale . He has 2 bowls full of batter what fraction of a bowl of batter should Lucas put in each muffin cup ?
Answer:
1/6 of a bowl of batter
Step-by-step explanation:
Find out how much muffins is needed for 1 bowl.
2 bowls = 12 muffins
1 bowl = 12 ÷ 2 = 6 muffins
Since 1 bowl can fill 6 muffins, it's 1/6
6.
Write an equation of a line with the given slope and y-intercept.
m = (4)/(5), b = 2
A. y= (4)/(5)x - 2
B. y= (4)/(5)x + 2
C. y= (5)/(4)x + 2
D. y= 2x + (4)/(5)
Answer:
B. y= (4)/(5)x + 2
Step-by-step explanation:
Use the slope-intercept form
y = m x + b to find the slope m and y-intercept b .
Slope:
5
3
y-intercept: ( 0 , − 2 )
Plz helpppppppppppppp helpppppppppppppp
Answer:
(A).option is correct..54cm2
PLEASE HELP ME WITH THIS I WILL GIVE BRAINLIEST
Answer:
12, 24, and 60
a boy has $5 coins and a $10 coins they are eight coins all together and their value is $55 how many of each kind does he have
Answer:
3 $10 coins and 5 $5 coins
Step-by-step explanation:
Use the Change of Base Formula to evaluate the expression. Then convert it to a logarithm in base 8. Round to the nearest thousandth if necessary.
log4 8
0.667; log8 4.003
0.301; log8 1.870
1.5; log8 22.627
0.15; log8 1.366
Answer
1.5; log8 22.627
Step-by-step explanation:
A computer game was originally priced at $59.99. It was marked down 15%. What was the final price of the computer game?
Answer: $50.99
Step-by-step explanation:
Given
The computer game is Priced at [tex]\$59.99[/tex]
It is marked down by [tex]15\%[/tex]
Final price is
[tex]\Rightarrow 59.99-15\%\ \text{of}\ 59.99\\\Rightarrow 59.99(1-0.15)=59.99\times 0.85\\\Rightarrow \$50.99[/tex]
Please help it‘a due today
Answer:
u know area of rectangle is length × breadth
therefore, area = (3x+4)×(7x-2)
= 21x²-6x+28x-8
= 21x²+22x-8
= d ans
t/12 = 4
solve for the solution
7 of 10
© Brian invests £990 into his bank account. He receives 2% per year simple interest. How much
will Brian have after 4 years? Give your answer to the nearest penny where appropriate.
Answer:
1071.61
Step-by-step explanation:
That's how much
Lakmini decided to measure the circumference of the Earth
using a very long tape measure. She held the tape measure
Im from the surface of the (perfectly spherical) Earth all the
way round. When she had finished her friend said that her
measurement gave too large an answer and suggested taking
off 6 m. Was her friend correct?
[Take the radius of the Earth to be 6400 km (if you need it).]
Answer:
Step-by-step explanation:
[tex]\Delta C=2\pi(r_2-r_1)\\ \\ \Delta C=2\pi(6400001-6400000)\\ \\ \Delta C=2\pi\\ \\ \Delta C\approx 6.283m\\ \\ \text{So taking off 6 meters is reasonable.}[/tex}
sea f(x)=3x3+5x, calcule f(5) + f(3)
Answer:
496
Step-by-step explanation:
what is the value of 5 in 102,587
Line AB contains points A (8, −4) and B (1, −5). The slope of line AB is (5 points) Group of answer choices −7 negative 1 over 7 1 over 7 7
Answer:
1/7
Step-by-step explanation:
Given that :
Line AB contains points A (8, −4) and B (1, −5)
Slope = Rise / Run
Rise = y2 - y1 = - 5 - (-4) = - 5 + 4 = - 1
Run = x2 - x1 = 1 - 8 = - 7
Slope = Rise / Run = - 1 / - 7
Slope = 1/7
885 = 5(x + 19)
what is x?
Answer:
x = 158
Step-by-step explanation:
Given
885 = 5(x + 19) ← divide both sides by 5
177 = x + 19 ( subtract 19 from both sides )
158 = x
Answer: x=158
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
will mark brainliest and mark 5/5
9514 1404 393
Answer:
AY = 4.8YD = 2.4Step-by-step explanation:
Corresponding sides of the triangles are ...
ΔFUN . . . ΔDAY
UF = 10 . . . AD = 6
FN = 4 . . . DY
NU = 8 . . . YA
Corresponding sides are proportional, so we have ...
DY/4 = AD/UF = 6/10
DY = 4(0.6) = 2.4
and
YA/8 = 6/10
YA = 8(0.6) = 4.8
The side lengths are ...
AY = 4.8, YD = 2.4
Answer:
.
Step-by-step explanation:
Pls help and thank you so much
Answer:
y=4x+3
Step-by-step explanation:
y intercept is 3 and x is 4
steve walks 3 kilometers a day how many meters does he walk in 3 days??
Answer:
9,000 m
Step-by-step explanation:
1 km = 1,000 m
3 * 3 = 9 km
9 * 1,000 = 9,000 m
Answer:
9000m in 3 days.
hope it helps.
A certain hurricane travels at 20.88 kilometers per hour. The distance
from Cuba to Key West is 145 kilometers. Write and solve a multiplication
equation to find about how long it would take the hurricane to travel from
Cuba to Key West.
Answer:
6.94 hours
Step-by-step explanation:
20.88 = 145/t
20.88t = 145
t=145/20.88t
t=6.94
Answer:
6.94 hours
Step-by-step explanation:
What is the value of 80-5(x^2-y)+y when x=4 and y=6
Answer:h
Step-by-step explanation:
question : Find 23% of 700kg
Answer:
[tex]700kg \times \frac{23}{100} \\ = 161[/tex]
Answer:
161 kilograms
Step-by-step explanation:
change 'of' into a multiplication sign
23% × 700kg
change 23% into a decimal
0.23 × 700kg= 161
for brainiest:):):):):):):)
first person to answer all of these questions gets brainliest, also upping points to 50
Answer:
#1
Ratio of 45-45 and 30-60-90 triangles
45-45
a : b : c = 1 : 1 : √230-60-90
a : b : c = 1 : √3 : 2a)
b = 10/2 = 5a = 5√3b)
k = l = 6√2/√2 = 6#2
Find x
7/x = cos 66°x = 7/ cos 66°x = 17.2Find y
y/x = sin 66°y = 17.2 sin 66°y = 15.7#3
a) sin A = 5/13
b) cos A = 12/13
c) tan A = 5/12
d) A = arcsin (5/13) = arccos (12/13) = arctan (5/12) = 22.6°