What is the area of the figure?
Express your answer as a mixed number in simplest form.
? m2
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Related Questions
Jason buys a pizza for $15.59 . He also buys 6 sodas. Each soda costs the same amount. He spends $23.33 on the pizza and the sodas. Jason finds the cost of each soda by calculating (23.33 − 15.59) ÷ 6 .
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Jason found that each soda costs $1.29 by calculating (23.33 - 15.59) ÷ 6.
Explanation:Jason spends $23.33 on the pizza and the sodas, and the total cost of the pizza is $15.59. Let's find out the total cost of the sodas by subtracting the cost of the pizza from the total amount spent. So, $23.33 - $15.59 = $7.74.
Now, to find the cost of each soda, we need to divide the total cost of the sodas by the number of sodas purchased. In this case, there were 6 sodas, so $7.74 ÷ 6 = $1.29.
Therefore, Jason found that each soda costs $1.29 by calculating (23.33 - 15.59) ÷ 6.
Cost of each soda (x) is approximately $1.29.
Jason buys a pizza for $15.59.
The cost of the pizza is $15.59.
He also buys 6 sodas:
The total cost of the pizza and sodas is $23.33.
Each soda costs the same amount:
Let's denote the cost of each soda as x.
He spends $23.33 on the pizza and the sodas.
The total cost can be expressed as the sum of the cost of the pizza and the cost of the sodas:
15.59+6x=23.33.
Now, Jason finds the cost of each soda by calculating (23.33 − 15.59) ÷ 6.
This expression represents the cost of each soda.
Let's calculate it:
[tex]\frac{7.74}{6} \approx 1.29[/tex]
So, Jason finds that each soda costs approximately $1.29.
Which of the following illustrates the product rule for Logarithmic equations?
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We are given Logarithmic equations.
We need to find the equation which illustrates the product rule.
We know, the product rule of Logarithms is:
[tex]log_b (mn) = log_b(m) + log_b(n)[/tex].
According to the product rule of Logarithms, we need to separate logs by plus sign.
In the given options only 4th option logs are separated by plus sign.
[tex]log_2(4x) = log_2\ 4+log_2\ x[/tex].
Therefore, correct option is 4th option.Answer:
Its D
Step-by-step explanation:
Took test
Please Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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a net has two equilateral triangles and three rectangles what solid figure could this make
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i hope im right
mr.kiniston jogged how many miles
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A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total 21499
. The variable costs will be $12
per book. The publisher will sell the finished product to bookstores at a price of 22.75
per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
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.. 21,499/10.75 = 1999.9
books
Sales revenue will equal production costs when the publisher produces and sells 2000 books.
-5.8c+4.2-3.1+1.4c combine like terms to create an equivalent expression
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The equivalent expression to the given expression is:
[tex]-4.4c+1.1[/tex]
Step-by-step explanation:We are given an algebraic equation in terms of the variable c as follows:
[tex]-5.8c+4.2-3.1+1.4c[/tex]
Now, we will first combine the like term i.e. the terms with the same variable term and the constant terms are combined altogether i.e. the expression is given as follows:
[tex]-5.8c+4.2-3.1+1.4c=-5.8c+1.4c+4.2-3.1[/tex]
On simplifying this expression we get :
[tex]-5.8c+4.2-3.1+1.4c=-4.4c+1.1[/tex]
Final answer:
To combine like terms in the expression -5.8c + 4.2 - 3.1 + 1.4c, we add the coefficients of the terms with 'c' and separately combine the constant terms. The simplified expression is -4.4c + 1.1.
Explanation:
To combine like terms and create an equivalent expression for -5.8c + 4.2 - 3.1 + 1.4c, we must identify and combine terms that have the same variable to the same power, which in this case are the terms with 'c' and the constant terms without variables.
Combining like terms with 'c':
-5.8c + 1.4c = -4.4c
Combining constant terms:
4.2 - 3.1 = 1.1
Equivalent Expression:
The equivalent expression by combining like terms is -4.4c + 1.1.
A circle has a circumference of 361π. What is the diameter of the circle?
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The formula to find circumference of circle is given by
[tex] C = 2\pi r [/tex]
Where r is radius of circle and pi =3.14
We are given Circumference here as 361π
Plugging the value in the formula :
[tex] 361\pi = 2\pi r [/tex]
r=361/2 = 180.5
radius of circle is 180.5.
We know that Diameter is double of radius.
So diameter = 2*180.5 = 361
Answer : diameter of circle is 361.
The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation and Helena claims that point-slope form will find the equation. Who is correct? Explain your reason by describing both forms.
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y-y₁ = m(x-x₁), where,
m = (y₂-y₁)/(x₂-x₁) is the slope of the line
(x₁,y₁) and (x₂,y₂) are the coordinates of the two points
On the other hand, the slope-intercept form is written as:
y = mx + b, where,
m is the slope of the line
b is the y-intercept
In this case, since only two points were given, the y-intercept of the line is not readily known. Thus, it is only through the point-slope form that the equation of the line can be determined. This is because it only requires the substitution of the x and y-coordinates of the points in the equation.
The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation and Helena claims that point-slope form will find the equation. Who is correct? Explain your reason by describing both forms.
Sample Response: Both are correct. Using either form will result in the same equation. The slope-intercept form uses slope and a point to find the y-intercept. Point-slope form uses the slope and a point to solve for y to generate the equation.
At noon a tree cast a shadow that is 40' long the distance from the top of the tree to the 1st tip of the shadow is 60' what is the height of the tree round to the nearest 100th
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.. (tip distance)² = (shadow length)² + (tree height)²
.. tree height = √((tip distance)² -(shadow length)²)
.. tree height = √((60 ft)² -(40 ft)²) = √(2000 ft²)
.. tree height ≈ 44.72 ft
graph
[tex]y = - \frac{x}{2} + 1[/tex]
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You only need two points because it's a linear graph. You already know one point, the y intercept, because your equation is in point slope form and b = 1, so 1 is the y intercept.
Find the area of a sector with a central angle of 2pi/15 and a radius of 18.8 m
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[Area of a circumference]=pi*r²
for r=18.8 m
Area=pi*18.8²=1109.80 m²
if the area for 2pi radians (full circumference) is --------------> 1109.80 m²
for 2pi/15----------------------------------> X
X=(2pi/15)*1109.80/2pi----------> 73.99
the answer is 73.99 m²
Answer:
74.02 square meters.
Step-by-step explanation:
We are asked to find the area of sector of circle, whose central angle is [tex]\frac{2\pi}{15}[/tex].
We will use area of sector formula to solve our given problem.
[tex]\text{Area of sector}=\frac{\theta}{2\pi}\times \pi r^2[/tex], where, r represents radius of circle.
Upon substituting our given values in above formula, we will get:
[tex]\text{Area of sector}=\frac{\frac{2\pi}{15}}{2\pi}\times \pi (18.8)^2[/tex]
Using fraction rule [tex]\frac{\frac{a}{b}}{c}=\frac{a}{bc}[/tex], we will get:
[tex]\text{Area of sector}=\frac{2\pi}{15\times 2\pi}\times \pi (18.8)^2[/tex]
[tex]\text{Area of sector}=\frac{1}{15}\times \pi \times 353.44[/tex]
[tex]\text{Area of sector}=23.5626666\times \pi[/tex]
[tex]\text{Area of sector}=74.0243004\approx 74.02[/tex]
Therefore, the area of given sector of circle is 74.02 square meters.
What are the solutions of the equation x6 + 6x3 + 5 = 0? Use factoring to solve
B.x=-3 sqrt5 and x= -1 is the correct answer
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The correct answer is gonna be B. Or x = -3√5 and x = -1
Help needed and explain!!
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1. Since there are 4 triangle so you will need to find the area and the formula is base(height)1/2 but you should probably check the formula just to make sure
2.Then you will find the area of the square which is length times width
3.Add all 5 areas together and the answer should be labeled in squared
hope that helped
a seed company planted a floral mosaic of a national flags.the perimeter of the flag is 560 feet determine the flags length and width if the length is 40 feet greater that width.write three situation to which you could apply the resulting system of equations
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x------------> the flags length
y------------> the flags width
P----------> perimeter
we know that
p=2x+2y------> 2x+2y=560----------> equation 1
and
x=y+40-------------> equation 2
substitute 2 in 1
2*(y+40)+2y=560-----------> 2y+80+2y=560--------> 4y=480------> y=120
x=y+40-------> 120+40----------> x=160
the answer is
the flags length is 160 ft
the flags width is 120 ft
Part 2) Write three situation to which you could apply the resulting system of equations
1) It can be used when considering the relationship between the price of a product and the quantities of the product that people want to buy at a certain price.
2) It can be used to determine the speed, distance and time duration when traveling by car, and you want to know the values of the unknown variables in your trips.
3) It can be used to determine the most convenient loan option to buy a car or a house when considering the duration of the loan.25 if answered please help
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so z = 180 - 124
z = 56
Find the equation of the line having a slope of 4 and a y-intercept of (0,3)
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[tex]\bf y=\stackrel{slope}{4}x\stackrel{y-intercept}{+3}\qquad \impliedby \textit{slope-intercept form}[/tex]
reason why that form is called like so.
A scatter plot is shown. Data points are located at 1 and 9, 3 and 5, 5 and 6, 4 and 4, 2 and 7, and 6 and 4. A line of best fit crosses the y-axis at 10 and passes through the point 6 and 4. How many hours will Sherwin most likely sleep if he consumes 9 cups of coffee? 1, because y = −x + 10 2, because y = −x + 10 9, because y = −x + 10 10, because y = −x + 10
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We have then:
The standard equation of the line is:
y-yo = m (x-xo)
m = (y2-y1) / (x2-x1)
A line of best fit crosses the y-axis at 10 and passes through the point 6 and 4
m = (4-10) / (6-0)
m = -1
(xo, yo) = (6, 4)
The line is:
y-4 = -1 (x-6)
y-4 = -x + 6
y = -x + 10
Where,
y: number of hours slept.
x: number of coffee cups.
for x = 9
y = - (9) +10
y = 1 hour
Answer:
if he consume 9 cups of coffee, Sherwin will most likely sleep 1 hour.
1, because y = -x + 10
Answer:
if he consume 9 cups of coffee, Sherwin will most likely sleep 1 hour.
1, because y = -x + 10
Jenny used her credit card to buy a refrigerator with a base cost of $824. The refrigerator consumed an average of $0.09 in electricity every day. Jenny made regular monthly payments for three and a half years, at which point the refrigerator was paid off. Over the eight years that Jenny had the refrigerator, it needed repairs three times, costing $68.75 each time. If Jenny’s credit card has an APR of 10.54%, compounded monthly, and sales tax in Jenny’s area is 7.13%, what was the lifetime cost of Jenny’s refrigerator? Assume that Jenny made no other purchases with her credit card, and round all dollar values to the nearest cent. (Remember that leap year occurs every four years.) a. $1,528.47 b. $1,622.46 c. $1,779.63 d. $1,457.91
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The lifetime cost of Jenny's refrigerator is A. $1,528.47.
What is lifetime cost?Lifetime cost is the total expenses relating to the purchase of a good, like a car, a home, or a refrigerator from the purchase date to the end of the asset's lifespan.
We can calculate the lifetime cost by using an online finance calculator to determine the total payment, including interests, for the asset and then adding up other expenses like repairs and electricity costs.
Data and Calculations:Base cost of refrigerator = $824
Sales tax = 7.13%
Total cost of refrigerator, including sales tax (loan amount) = $882.75 ($824 x 1.0713)
Average daily electricity consumption = $0.09
Total electricity cost = $262.98 ($0.09 x 8 years x 365 days + $0.09 x 2 leap year days)
Payment period for credit purchase = 3 1/2 years
Total repairs cost = $206.25 ($68.75 x 3)
Period of possessing the refrigerator = 8 years
APR = 10.54% compounded monthly
From an online finance calculator:
Monthly Payment = $25.22
Total Payment = $1,059.24 ($25.22 x 12 x 3.5)
Total Interest for 3 1/2 years = $176.49 ($1,059.24 - $882.75)
Lifetime cost of Jenny's refrigerator = Total loan payment + Electricity cost + Repairs cost)
= $1,528.47 ($1,059.24 + $262.98 + $206.25)
Thus, the lifetime cost of Jenny's refrigerator is A. $1,528.47.
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2 1/4 was subtracted twice from a number; then 1/8 was subtracted three times and 2/3 was subtracted twice. The resulting number is 3 11/24 . Find the number
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Answer:
9 2/3
Step-by-step explanation:
Decide if the measurements determine no triangle, a unique triangle, or more than one triangle.
ITEMBANK:
3 cm, 4 cm, 11 cm
3 cm, 5 cm, 15 cm
30°, 40°, 110°
6 cm, 7 cm, 12 cm
60°, 60°, 60°
8 cm, 90°, 45 °
Options: No triangle, Unique triangle, or More than one triangle
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2) No triangle
3) More than 1 triangle
4) 1 triangle
5) More than 1 triangle
6) Either 1 or more than 1 triangle
Explanation:
1) The sum of the two smaller sides is not greater than the third side, so these will not form a triangle.
2) The sum of the two smaller sides is not greater than the third side, so these will not form a triangle.
3) The angles add up to 180, so this will make more than one triangle (there is no information given about the sides, so the triangles would be similar but not necessarily congruent)
4) The sum of the two smaller sides is greater than the third side, so one triangle is formed
5) The angles add up to 180, so this will make more than one triangle (there is no information given about the sides, so the triangles would be similar but not necessarily congruent)
6) Depending on whether the side is between the two given angles, either 1 triangle or more than 1 triangle could be formed.
Answer:
1.)No Triangle
2.)No Triangle
3.)More Than One Triangle
4.)Unique Triangle
5.)More Than One Triangle
6.)Unique Triangle
Assuming that a sample (n = 504) has a sample standard deviation of 2.26, what is the upper bound of a 95% confidence interval if the sample mean is 2.96?
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We find the standard error by dividing the standard deviation by the square root of the sample size:
[tex]\frac{\sigma}{\sqrt{n}}=\frac{2.26}{\sqrt{504}}=\frac{2.26}{22.45}=0.10[/tex]
To calculate the margin of error, we multiply the standard error by 2:
0.1(2) = 0.2
For the upper bound, we add this to the mean:
2.96+0.2 = 3.16
The upper bound of a 95% confidence interval if the sample mean is 2.96 is 3.16.and this can be determined by using the formula of standard error and margin of error.
Given :
Assuming that a sample (n = 504) has a sample standard deviation of 2.26.95% confidence interval.The sample mean is 2.96.First, evaluate the standard error by using the below formula:
[tex]\rm SE = \dfrac{\sigma}{\sqrt{n} }[/tex]
Now, put the values of n and [tex]\sigma[/tex] in the above equation in order to determine the standard error.
[tex]\rm SE = \dfrac{2.26}{\sqrt{506} }[/tex]
SE = 0.10
In order to determine the margin of error multiplies the standard error by 2.
ME = 0.1 [tex]\times[/tex] 2
ME = 0.20
Now, add the margin of error and the sample mean in order to evaluate the upper bound.
= 2.96 + 0.20b
= 3.16
The upper bound of a 95% confidence interval if the sample mean is 2.96 is 3.16.
For more information, refer to the link given below:
https://brainly.com/question/25436087
Identify if the expressions below are polynomials or not for each of them.
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-Variables in the exponents of the terms.
-Variables in the denominator.
- Negative exponents.
-Fractionals exponents.
-The variables cant be as radicals.
Therefore:
a) It is a polynomial (The variable is under a radical)
b) It is not a polynomial.
c) It is a polynomial.
d) It is not a polynomial. (It has a variable in the denominator).
e) It is a polynomial.
f) It is not a polynomial. (It has a variable in the denominator).
What is the volume of the right rectangular prism 8L 10W 3
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8 x 10 x 3 = 240 cubic units
Determine the simple interest. the rate is an annual rate. Assume 360 days in a year. p= $460 r= 2.75% t= 3.25 years
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Tom wanted to compare what proceeds he would receive with a simple interest note versus a simple discount note. Both had the same terms: $18,235 at 10% for 2 years. Use ordinary interest as needed.
a. Calculate the simple interest note proceeds.
b. Calculate the simple discount note proceeds.
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b) Simple discount note proceeds are the face value less the inerest due,
.. $18,235(1 -0.10*2) = $14,588.
If a ship sailed due south from Iceland to Antarctica, it would sail through an angel of rotation of about 140° around Earths center. Find this measure in radians. Then , using 3960 miles for earth radius, find how far the ship would travel.
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To convert the angle in degrees to radians, multiply the angle by π and divide by 180. The ship would travel approximately 3081.23 miles.
Explanation:To find the measure in radians, we need to convert the given angle from degrees to radians. There are 2π radians in a full circle, which is equal to 360°. Therefore, to convert 140° to radians, we can use the formula: radians = (degrees × π) / 180. Substituting the given angle, we get: radians = (140 × π) / 180 = (7π / 9) radians.
Next, to find how far the ship would travel, we need to calculate the arc length. The formula for the arc length of a circle is: arc length = radius × angle in radians. Given that the radius of Earth is 3960 miles and the angle of rotation is (7π / 9) radians, we can calculate the arc length as follows: arc length = 3960 × (7π / 9) ≈ 3081.23 miles.
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write the expression in complete factored form q^2(p+1)+3(p+1)
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[tex]pq {}^{2} + q { }^{2} + 3p \: + 3[/tex]
then factor them
[tex](q {}^{2} + 3)(p + 1)[/tex]
The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object? 4.9 9.8 10.2 19.6
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Final answer:
The acceleration due to gravity on Earth is approximately 9.80 m/s² and is symbolized as g, which represents a constant rate of acceleration for free-falling objects in the absence of air resistance.
Explanation:
The acceleration due to gravity is a constant that plays a fundamental role in physics, particularly when discussing free-fall motion. On Earth, the acceleration due to gravity of a falling object, when air resistance is negligible, is approximately 9.80 m/s². This value, denoted by the symbol g, is used to calculate various parameters in the kinematic equations of motion for an object subject only to the force of gravity.
alex originally paid $5200 for her car 1 year ago. the value of her car now is $4,420. what is the percent of decrease in the value of her car?
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hope it helps
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