Answer:
The dimensions of rectangle are:
width = w = 4.5 ftlength = l = 6 ftStep-by-step explanation:
Let 'l' be the length and 'w' be the width of the rectangle
The length 'l' of the rectangle is 3ft less than twice the width 'w'.so
\(l=2w-3\)
Also, the area of the rectangle is 27ft^2.
\(A=27\:ft^2\)
As the area of the rectangle has the formula:
\(\:A\:=\:l\times w\)
so
\(27=\:l\times w\)
so the equation becomes
\(27=\left(2w-3\right)\times \:w\)
\(27=2w^2-3w\)
\(2w^2-3w-27=0\)
\(\left(w+3\right)\left(2w-9\right)=0\)
if \(ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)\)
\(w+3=0\quad \mathrm{or}\quad \:2w-9=0\)
\(w=-3,\:w=\frac{9}{2}\)
as the width can not be negative, so
\(w=\frac{9}{2}=4.5\) ft
As
\(l=2w-3\)
\(l=2\left(4.5\right)-3\)
\(l=9-3\)
\(l=6\)
So the dimensions of rectangle are:
width = w = 4.5 ftlength = l = 6 ftanswer for brainliest
The table below represents favorite ice cream of the freshman and sophomores at
Eastern High School.
What is the approximate probability that a student's favorite is oreo ice cream?
Answer: 43%,
Step-by-step explanation:
i did it in my search bar but its just 112 percent of 378 which is 43
Four friends want to share two large
pizzas equally. Each pizza is cut into
ten slices. How many slices will each
person get?
Answer: 5
Step-by-step explanation:
2 pizzas ten slices eatch, so 20 slices. 20 slices devided by 4 is five. :)
A deck wraps around the back of a house. Find the area of the deck made up of rectangles.
Answer: Base and Height
Step-by-step explanation: You would multiply the base and height. Since it is not a triangle you wouldn't divide it by 2
potatoes - Samples: Assume the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1 ounces. He bags his potatoes in groups of 6. You buy a bag and the total weight is 42 ounces. Here we determine how lucky or unlucky you are. (a) What is the mean potato weight in your bag of 6
An odometer show that a car has traveled 40,000 miles by January 1, 2020. The car travels 16,000 miles each year. Write an equation that represents the number y of miles on the car’s odometer x years after 2020.
y = __
The equation will be \(y=40000+16000*x\)
How do you resolve a two-variable equation?Solve one of the equations for a particular variable. After that, insert that into the other equation and find the variable there. To find the value for the other variable, enter that value into either equation.
Two variables are used in what kind of equation?Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.
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Which angles are alternate interior angles?
Answer:
Step-by-step explanation:
∠DEH=∠IHE (alternate angles)
33.21 divided by 9
What is the answer? And can you explain pls
Answer:
\(33.21 = \frac{3321}{100} \\ \\ \frac{33.21}{9} = \frac{3321}{100 \times 9} = \frac{3321}{900} = \frac{369}{100} = 3.69\)Step-by-step explanation:
Thanks
which of the following explains how to solve the problem below 1/8 divided 9
Answer:
Where are the options?
Step-by-step explanation:
Answer:
\(\frac{1}{72}\)
Step-by-step explanation:
Convert element '9' to a fraction:
= \(\frac{9}{1}\)
Apply fraction rule: \(\frac{a}{b}\) ÷ \(\frac{c}{d}\) = \(\frac{a}{b}\) * \(\frac{d}{c}\)
\(\frac{1}{8} *\frac{1}{9}\)
Multiply fractions:
\(\frac{1*1}{8*9}\)
Multiply numerator:
1*1 = 1
Multiply denominator:
8*9 = 72
Answer:
\(\frac{1}{72}\) as it can no longer be simplified.
solve for x y=9x-2x please help im beggiing
Answer:
\(y = 9x - 2x \\ y = (9 -2)x \\ y = 7x \\ \boxed{ x = \frac{y}{7} }\)
x = y/7 is the right answer.The lateral height of a cone is 8 inches and the area of the base of the cone is 49π in². It requires 2.5 minutes to paint the cone.
The area of the base is doubled.
How long will it take to paint this cone if it can be painted at the same rate? Use π≈3.14.
Enter your answer, rounded to the nearest tenth, in the box.
The time required to paint the cone when the base area is doubled is determined as 5.0 minutes.
How will it take to paint the cone when the area of the base doubles?
The amount of time requires to paint the entire cone when the area of the base of the cone is doubled is calculated using simple proportion as shown below;
time
Area of base of cone = 49π in². -----------------------> 2.5 minutes
Area of base of cone = 2 (49π in² ) -------------------> ?
49 x = ( 2 x 49 x 2.5 )
x = 2 x 2.5 min
x = 5.0 minutes
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If a cat went 600 miles how many feet did it take to get home?
Answer:
3168000 feet
Step-by-step explanation:
1 mile = 5280 ft
how to find the length of segment CD when C (3,4) and D (-1,1)
Answer: 5 units
Step-by-step explanation:
\(C(3,4)\ \ \ \ \ D(-1,1)\\\\L_{CD}=\sqrt{(x_D-x_C)^2+(y_D-y_C)^2}\\\\L_{CD}=\sqrt{(-1-3)^2+(1-4)^2} \\\\L_{CD}=\sqrt{(-4)^2+(-3)^2} \\\\L_{CD}=\sqrt{16+9} \\\\L_{CD}=\sqrt{25} \\\\L_{CD}=5\ units\)
What is the volume of this right prism?
96 in³
60 in³
48 in³
44 in³
Answer:
48
Step-by-step explanation:
Which statement is true. A. The square root of 150 is 15.
B. The square root of 400 is 40.
C. The square root of 36 is 18.
D. The square root of 256 is 16
Answer:
D. The square root of 256 is 16
Step-by-step explanation:
16^2 = 256
Two owners of a cattle ranch, Robert and Val, want to find the average weight for the ranch's 200 Cows. Instead of weighing all of the cows: Robert weighs 25 cows and gets an average weight of 1,550 pounds (stdev = 50) • Val weighs 100 cows and gets an average weight of 1,380 pounds (stdev = 50) What is Val's margin of error, rounded to the nearest whole number? (The formula is 1.96 (std dey)//N
The required margin of error for Val is 9.8 pounds.
What do we mean by Margin of error?The margin of error is a statistic that describes how much random sampling error there is in survey results.
One should have less faith that a poll's findings would accurately reflect those of a population census the higher the margin of error.
Multiplying a key factor (for a specific confidence level) and the population standard deviation yields the calculation for the margin of error.
The square root of the sample's observational count is then used to divide the outcome.
So, the following equation provides the margin of error:
M = 1.96 s/√n
Now, calculate as follows:
M = 1.96 s/√n
M = 1.96 50/√100
M = 9.8
Therefore, the required margin of error for Val is 9.8 pounds.
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Correct question:
Two owners of a cattle ranch, Robert and Val, want to find the average weight for the ranch’s 200 cows. Instead of weighing all of the cows: Robert weighs 25 cows and gets an average weight of 1,550 pounds (stdev = 50) Val weighs 100 cows and gets an average weight of 1,380 pounds (stdev = 50) What is Val’s margin of error, rounded to the nearest whole number? (The formula is 1.96 (std dev) / square root of N
Find the area between the congruent tangent circles
Area between the three congruent tangent circles,
⇒ 6 inches²
We have to given that;
The radius of each circle is,
⇒ r = 6 inches
Hence, WE get;
⇒ AB = 12 inches
⇒ BC = 12 inches
⇒ CA = 12 inches
Now, Half of AB is,
⇒ 12 / 2 = 6 inches
Hence, WE get;
Perpendicular distance from C to AB that is D is,
⇒ CD = √12² - 6²
⇒ CD = √144 - 36
⇒ CD = 10.4
Hence, Area of ABC is,
⇒ A = 1/2 × 12 × 10.4
⇒ A = 62.4 inches²
Thus, We get;
Area of small triangles,
⇒ 60/360 × 3.14 × 6²
⇒ 1/6 × 3.14 × 6²
⇒ 18.84 inches²
Thus, Area between the three congruent tangent circles,
⇒ 62.4 inches² - 3 x 18.84 inches²
⇒ 62.4 inches² - 56.4 inches²
⇒ 6 inches²
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What is the correct answer for this
The smallest to the largest side is SQ, RS, QR, the correct option is B.
What is a Triangle?A triangle is a polygon with three sides, angles, and vertices.
The triangle is classified into various types on the basis of the angle and on the basis of the equality of the length of the sides, as obtuse, acute and right-angled triangle and scalene, isosceles and equilateral triangle.
The measure of angle of the triangle is 56°, 83°, and 41°.
From the property of the triangle, the side opposite the bigger measure angle is the largest.
The measure of angle QRS is 41°, angle RQS is 56°, and angle QSR is 83°.
The smallest side will be the side opposite to QRS, i.e. SQ,
The largest side will be the side opposite to QSR, i.e. QR
The side in order from the smallest to the largest, SQ, RS, QR.
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cos(theta)+1 / tan^2(theta) = cos(theta) / sec(theta) - 1
An audio cable is 14.7 dm long. How long is the cable in meters?
Answer:
1.47
Step-by-step explanation:
It's quite easy to calculate, one decimeter is equal to 0.1 meters!
Please help me with this.
Answer:
It’s J
Step-by-step explanation:
PLS HELP ME
Congruent yes or no
Congruent? _______
If so, what property? ________
Congruent yes or no
Congruent? _______
If so, what property? ________
Congruent yes or no
Congruent? _______
If so, what property? ________
Congruent yes or no
Congruent? _______
If so, what property? ________
Answer:
First picture: SAS and not existent, so not congruent
Second picture: AAA does not exist, so not congruent
Third picture: SAS for both (yes)
Forth picture: AAS for both (yes)
Step-by-step explanation:
Sorry for no long explanation, but if you have any specific questions, feel free to ask in the comments
Hope this helps! If you found my answer helpful, please consider marking me brainliest. Thank you!
15 pies a m regla de 3
Answer:
5m
Step-by-step explanation:
regla de 3:
1m = 3ft
15 pies ÷ 3 = 5m
HELP SHOW HOW TO SOLVE THIS PLEASE
write an equation of the line that has slope 3 and goes through the point (4, 1)
factor and solve
x^2-4x=5
Let’s solve the equation x^2 - 4x = 5 by factoring:
First, we’ll move all the terms to one side of the equation:
x^2 - 4x - 5 = 0
Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:
(x - 5) (x + 1) = 0
Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:
x - 5 = 0 or x + 1 = 0
Solving each equation separately, we find that x = 5 or x = -1.
So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.
42 7th grade students made honor roll which is 40% of the total number of students. How many students are there total?
Sarah has been an exemplary employee! The library has given her a 5% raise in recognition of
her hard work. If Sarah normally has a net salary of $212.50, what will Jessica’s net salary be now?
Remember, you calculated that 15% of Sarahs gross salary is withheld each week.
The correct value of Jessica's new net salary will be $225.
To calculate Jessica's new net salary after a 5% raise, we need to first determine Sarah's gross salary. We know that Sarah's net salary is $212.50, and 15% of her gross salary is withheld each week.
Let's denote Sarah's gross salary as "G." We can set up the following equation:
G - 15% of G = $212.50
Simplifying the equation, we have:
G - 0.15G = $212.50
0.85G = $212.50
G = $212.50 / 0.85
G ≈ $250
Sarah's gross salary is approximately $250.
Now, to find Jessica's new net salary after a 5% raise, we can calculate 5% of Sarah's gross salary and subtract the withheld amount:
Jessica's net salary = Sarah's gross salary + 5% of Sarah's gross salary - 15% of Sarah's gross salary
Jessica's net salary = $250 + 0.05 * $250 - 0.15 * $250
Jessica's net salary = $250 + $12.50 - $37.50
Jessica's net salary = $225
Therefore, Jessica's new net salary will be $225.
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39.8% of consumers believe that cash will be obsolete in the next 20 years. Assume that 7 customers are randomly selected. Find the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years. What is the probability?
Here, we are required to find the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years.
The correct answer is Pr(C & fewer than 3) = 0.171
Let Pr(C) be the number of consumers who believe that cash will be obsolete in the next 20 years.
Therefore, since 39.8% believe so,
Pr(C) = 39.8/100 = 0.398If 7 consumers are selected randomly, the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years will be;
Probability of 2 out 7 to believe so or Probability of 1 out of 7 to believe so.Pr(2/7) + Pr (1/7).Therefore the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years is;
Pr (fewer than 3) = (2/7) + (1/7)Pr (fewer than 3) = 3/7Therefore, the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years is ;
Pr(C) × Pr (fewer than 3)i.e 0.398 × (3/7) = 0.171Therefore, the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years is ;
Pr(C & fewer than 3) = 0.171
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If x=2y+5 and x=3y-6, what is the value of x?
Find surface area of this rectangle prism
Answer:
Heres this!!
Step-by-step explanation:
The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.