Answers
(4*7)+(13*9)+(6*6)=181
Answer:
181 square units
Step-by-step explanation:
Related Questions
David wants to buy a game system and his favorite game.The game costs $25 and is 1/5 of the price of the game system.How much does the game system cost?
Answers
multiply 25 by 5 = 125
the game system cost 125
As per linear equation, the game system costs $125.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1."
Given, the cost of the game is $25.
The cost of of the game is [tex]\frac{1}{5}[/tex] of the price of the game system.
Therefore, the cost of the game system is
= 5 × cost of the game
= $(5 × 25)
= $125
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Help? Sampling
A toy bin has twenty toys in it, five of each type. Storm wants to know which type of toy he would pick if he pulled out one.
Which of the following would be the most appropriate sampling technique?
A. He could use a spinner with four equal-sized sections, one for each toy.
B. He could make a chart to show all of the toys that other people pulled out. <<?
C. He could use a spinner with five equal-sized sections, one for each toy.
D. He could use a random number generator with the total number of toys as the top number.
Answers
Answer:
Option (C) is correct choice.
Explanation:
The most appropriate sampling technique for Storm to determine which type of toy he would pick from the bin is option C. He could use a spinner with five equal-sized sections, one for each type of toy.
Option A (using a spinner with four equal-sized sections) does not accurately represent the distribution of toys in the bin, as there are five types of toys.
Option B (making a chart of toys that other people pulled out) relies on the data from others and does not involve Storm directly selecting a toy.
Option D (using a random number generator) is not as straightforward and intuitive as directly selecting a toy from the bin.
Therefore, option C provides Storm with a fair and simple method to randomly select one type of toy from the bin.
In the figure, the horizontal lines are parallel and AB = BC = CD. If LM = 3 Find JM? A. 12 B. 6 C. 3 D. 9
Answers
The value of JM is 9, the correct option is D.
What are Parallel Lines?
The lines that always have a constant distance between them and never intersect each other are called Parallel Lines.
The slope of parallel lines is equal to each other.
The parallel lines, AM, BL, CK, DJ can be seen in the figure.
As the distance between AB = BC = CD is equal,
The parallel line runs at same distance from each other and so, the distance between LM= LK = KJ,
The value of LM is 3.
Then the value of JM = LM + KL + KJ
JM = 3 + 3 + 3
JM = 9 units.
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staircase of steps in a swimming pool has a vertical rise of 14 inches per step and a landing of 20 inches.
Answers
Therefore, the slope of the stair case is
Slope = rise/run = 14/20 = 0.7
The formula for the volume of a pyramid is V=13BhV=13Bh, where B is the area of the base and h is the height. Rearrange the formula to solve for the height (h).
h=B3Vh=B3V
h=V3Bh=V3B
h=3VBh=3VB
h=3BV
Answers
[tex]V = \frac{1}{3}Bh \ \ \to \ \ h= \cfrac{V}{ \frac{1}{3}B } = \cfrac{3V}{B} [/tex]
To solve for the height h in the volume formula V = 1/3Bh for a pyramid, the formula needs to be rearranged to h = 3V/B by first multiplying both sides by 3 and then dividing by B.
The formula for the volume of a pyramid is V = 1/3Bh, where B is the area of the base and h is the height. To solve for the height, h, we need to rearrange the formula.
Starting with V = 1/3Bh, we want to isolate h:
Multiply both sides of the equation by 3 to cancel out the fraction: 3V = Bh.
Next, divide both sides by B to solve for h: h = 3V/B.
The correct formula to solve for height is h = 3V/B.
If f(x) = ∣(x2 − 8)∣, how many numbers in the interval 0 ≤ x ≤ 2.5 satisfy the conclusion of the mean value theorem?
Answers
First let us find the slope of the straight line formed when x1 = 0 to x2 = 2.5.
y = x^2 – 8
y1 = 0^2 – 8 = - 8
y2 = 2.5^2 – 8 = -1.75
The formula for finding the slope is:
m = (y2 – y1) / (x2 – x1)
m = (-1.75- (- 8)) / (2.5 – 0)
m = 2.5
The mean value theorem states that the slope must be 2.5 at least once between x1 = 0 to x2 = 2.5.
Taking the 1st derivative (slope) of the equation:
dy / dx = 2x
Since dy / dx = m = 2.5
2x = 2.5
x = 1.25
Therefore the answer is: One number at x = 1.25
what is the surface area of a square pyramid with a base of 12cm and a slanted height of 8cm?
Answers
12*12= 144 cm^2
Triangle sides:
12*8/2= 48 cm^2 each
Multiply by 4 because there are four of them
48*4= 192 cm^2
Add the base
192+144=336 cm^2
Final answer: 336 cm^2
Wendy wanted to understand whether students at her school were in favor of an extended school day. She surveyed some students and displayed the results in the table below:
In favor Opposed Undecided
Grade 9 4 7 7
Grade 10 9 11 5
Grade 11 12 13 5
Grade 12 10 5 12
If the principal randomly selects a student in grade 12 from this survey, what is the probability that the student is in favor of extending the school day?
Answers:
0.37
0.27
0.49
0.52
Answers
so it would be .37
Answer:
0.37
Step-by-step explanation:
What is the surface area of a cone with a diameter of 28 cm. and height 22 cm in terms of Ï.
196Ï cm2
365Ï cm2
561.1Ï cm2
2202.8Ï cm2
Answers
To find the surface area of a cone, use this formula.
pi (r) (r + [square root of h^2 plus r^2] ) substitute
h = height = 22 r = radius = 28/2 = 14 [ ] = sq. root
pi (14) (14 + [ 22^2 + 14^2 ]) solve exponents
pi (14) (14 + [484 + 196]) add
pi (14) (14 + [680]) solve square root
pi (14) (14 + 2[170]) add
pi (14) (40.0768) multiply
pi (561.075) is about 561.1 rounded to nearest tenth
So the answer is C. 561.1pi cm^2
What is the simplified form of √ 2160x^8/60x^2
Answers
------------ =
60 x^2
The correct answer I found is 6x³
Eric plans to rent a Beach House for a week. He has a coupon for 20% off the daily base rate of $200. He will also have to pay an additional $20 a day for utilities. Which expression represents the situation. (d represents the number of days)
Answers
Answer: 180 d is the required expression.
Step-by-step explanation:
Since, He has a coupon for 20% off the daily base rate of $200.
Therefore, His daily base cost = 80 % of 200 = [tex]\frac{20\times 80}{100}[/tex] = $ 160
Additional cost he pay in a day = $20
Therefore, his total cost of one day = 160 + 20 = 180
Thus, his total cost in d days = 180 d
Which is the required expression.
Answer:
180d C)
Step-by-step explanation:
40 is 20 percent of 200, if you remove 40 from 200 you get 160. then add 20 and you have 180.
What is the area of the rectangle shown on the coordinate plane?
Answers
answer
21 square units
A=(5-2)(3--4)
A=3(7)
A=21 u^2
Janet wins the lottery and receives $100 the first year. In the following years, she receives $50 more each year. (That is, Janet receives $150 the second year, $200 the third year, and so on.) How much will Janet receive, in total, after 10 years?
A) $2,500
B) $3,250
C) $1,450
D) $1,500
Answers
Take a look at the table of possible outcomes when a pair of fair dice is rolled. What is the probability that the sum of the numbers rolled is either even or a multiple of 5?
Answers
There are 1+3+5+5+3+1 = 18 cases where this happens
Now mark the entries that are 5 or 10. There are multiples of 5. There are 4+3 = 7 cases of either 5 or 10.
If we add up 18 and 7, we get 18+7 = 25. Now subtract out the cases where we get both an even number AND a multiple of 5. So the three tens are counted twice. We go from 25 to 25-3 = 22
Divide this value (22) over the total number of outcomes (6*6 = 36). Doing this gets us
22/36 = 11/18
The answer is choice A
Answer:
He is correct
Step-by-step explanation:
9.1 ÷ 3576 long division
Answers
If you are trying to do 3576/9.1, then the answer is 392.967033
hope this helps:))
Answer: the answer is 0.00254474272
goooood luck
a rectangle has an area of 12m and a width of 400cm. what is the length?
Answers
hope it helped :)
Find the area of the quadrilateral in the figure
Answers
In the given figure the area of quadrilateral is 19.64 square units.
Option (C) is correct.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180.
In the given figure,
A quadrilateral is shown.
The quadrilateral can be seen as two triangles,
One triangle whose sides are 6, 6 and 5
And second triangle whose sides are 3, 4, and 5.
In first triangle, use Heron's formula to find the area,
The area of triangle = √ S.(S- a).(S -b).(S-c)
The semi perimeter of triangle = 6 + 6 +5 / 2 = 17 / 2 = 8.5
Area = √ 8.5 x (8.5 - 6) x (8.5 - 6) x (8.5 - 5)
= √8.5 x 2.5 x 2.5 x 3.5
= 13.635
The second triangle whose side are 3, 4 and 5, makes a right angle.
The area of second triangle = 1/2 x base x height = 1/2 x 4 x 3 = 6
Total area = 13.635 6 + 6 = 19.635
The required area of quadrilateral is 19.635 square units.
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A positive integer is 47 more than 9 times another. their product is 18601860. find the two integers.
Answers
and
xy = 18601860
substitute for y in second equation:-
x(9x + 47) = 18601860
9x^2 + 47x - 18601860 = 0
factoring 18601860 is a pain so we use the quadratic formula:-
x = [(-47 +/- sqrt (47^2 - 4*9*-18601860)] / 18
this gives x = 1435 , -1440 so we want x=1435 as its positive
this make y = 9(1435) + 47 = 12962
the 2 integers are 1435 and 12962
AB=diameter of the circle O. OC=radius. Arc AXB is an arc of the circle with centre C. Prove areas of the shaded region are =
Answers
Draw a circle with center C And radius CA, as shown in the attached picture.
Let the lengths of radii AO, OB, OC be R. Triangle ABC is inscribed in the circle with center O and one of its sides is a diameter, this means that the angle ACB is a right angle.
|AO|=|OC|=R, by the Pythagorean theorem |AC|=[tex] \sqrt{2}R [/tex].
these are all shown in the picture.
2.
Area of triangle ABC is 1/2 * 2R * R= R^2
3.
Let the area between arc BXA and chord AB be Y. (the yellow region).
and let G be the shaded region between arcs AB and AXB.
G=1/2(Area circle with center O)-Y
=[tex] \frac{1}{2} \pi R^{2}-Y [/tex]
To find Y:
Notice that the area of the sector ACB is 1/4 of the area of circle with center C, since m(ACB) is 1/4 of 360 degrees.
So Area of sector ACB = [tex]\frac{1}{4} \pi (\sqrt{2} R)^{2}=\frac{1}{4} \pi*2 R^{2} =\frac{1}{2} \pi R^{2}[/tex]
Y =area of sector ABC-Area(triangle ABC)=[tex]\frac{1}{2} \pi R^{2}- \frac{1}{2}*2R*R=\frac{1}{2} \pi R^{2}- R^{2} [/tex]
4.
Finally,
[tex]G=\frac{1}{2} \pi R^{2}-Y=\frac{1}{2} \pi R^{2}-(\frac{1}{2} \pi R^{2}- R^{2})=R^{2}[/tex]
This proves that the 2 shaded regions have equal area.
In an isosceles triangle the base angles are congruent. True False
Answers
Round to the nearest hundredth.
Answers
A certain forest covers an area of 3900 km2 . suppose that each year this area decreases by 8% . what will the area be after 10 years? use the calculator provided and round your answer to the nearest square kilometer.
Answers
A = P(1-r)^t
A = 3900(1-0.08)^10
A = 3900(0.92)^10
A = 3900(0.434388454)
A = 1694.11
1694 square km
Chelsea made 15 of the 28 recipes she downloaded from the Internet. What percent of the recipes did she make?
Answers
Final answer:
Chelsea made 15 out of 28 recipes she downloaded from the Internet, which translates to approximately 54% of the recipes when calculated using the percentage formula: (Part/Total) × 100.
Explanation:
To find out what percent of the recipes Chelsea made, we will use the formula for calculating the percentage:
Percentage = (Part/Total) × 100
Here, the part is the number of recipes she made, and the total is the number of recipes she downloaded. Chelsea made 15 recipes out of 28. So we set it up like this:
Percentage = (15/28) × 100
Solution:
Percentage = (15/28) × 100
Percentage = 0.5357... x 100
Percentage = 53.57...
When you round to the nearest whole number, Chelsea made approximately 54% of the recipes.
Chelsea made approximately 53.57% of the recipes from the Internet, totaling 15 out of 28 recipes.
To find the percentage of recipes Chelsea made, follow these steps:
Step 1: Calculate the fraction of recipes she made.
Fraction made = (Number of recipes made) / (Total number of recipes)
= 15 / 28
Step 2: Convert the fraction to a percentage.
Percentage = Fraction * 100
= (15 / 28) * 100
Step 3: Perform the calculation.
Percentage = (15 / 28) * 100
≈ 53.57%
So, Chelsea made approximately 53.57% of the recipes.
Find the circumference of a pizza if the diameter is 10 inches.
0.314 in.
3.14 in.
3.04 in.
31.4 in.
Answers
C=πd, since we are told that d=10in
C=10π in
C≈31.4 in (to nearest tenth of an inch)
Answer: 31.4 in.
Step-by-step explanation:
We know that the circumference of the circle is given by :-
[tex]C=\pi d[/tex], where d is the diameter of the circle.
Given : The diameter of the pizza = 10 inches
Then the circumference of the pizza will be :-
[tex]C=\pi (10)[/tex]
We put the value of [tex]\pi =3.14[/tex], we get
[tex]C=3.14 (10)=31.4[/tex]
Hence, the circumference of a pizza is 31.4 in.
Cylindrical coordinates? Hi,
I am having problems with a homework question,
I am asked to sketch the solid by the given inequalities.
0 <= theta <= pi/2 and r <= z <= 2
How do I find r?
If possible please guide me to the answer instead of giving it to me. I need to know this stuff.
Thanks in advance for any help.
Answers
Recalling that in cylindrical coordinates, [tex]r^2=x^2+y^2\implies r=\sqrt{x^2+y^2}[/tex], we then know that [tex]0\le\sqrt{x^2+y^2}\le z[/tex], and so we're confined to the first octant (where each of [tex]x,y,z[/tex] are non-negative).
The upper limit of [tex]z\le2[/tex] tells us that the region is bounded above by the plane [tex]z=2[/tex], which is parallel to the [tex]x[/tex]-[tex]y[/tex] plane.
Meanwhile, the lower limit of [tex]z=r=\sqrt{x^2+y^2}[/tex] can be visualized by first squaring both sides:
[tex]z=\sqrt{x^2+y^2}\implies z^2=x^2+y^2[/tex]
If you're not already familiar with what this equation represents, we can approach it piecemeal. At one extreme, when [tex]x=y=0[/tex], we have [tex]z=\sqrt{0^2+0^2}=0[/tex], so the region has a "vertex" at the origin.
When [tex]z=2[/tex], we have the Cartesian equation [tex]4=x^2+y^2[/tex], which corresponds to a circle of radius 2. Similarly, if we consider values of [tex]z[/tex] between 0 and 2, we end up with circles of increasing radii. Stacking these circles onto one another, we get a cone.
More specifically, the region is the part of the cone between the [tex]x[/tex]-[tex]y[/tex] plane and the plane [tex]z=2[/tex] restricted to the first octant.
(Image of region attached)
Every day, about 140,000,000 plastic water bottles are bought in the United States. Each bottle is about 0.25 meters long, and the equator of the Earth is about 40,000,000 meters around.
How many times can the Earth's equator be circled by a line of plastic bottles used in the United States every day?
Answers
Answer:
0.875 times Earth's equator is circled by plastic bottles every day.
Step-by-step explanation:
Given: No of plastic water bottles every day = 140,000,000
Length of a bottle = 0.25 m
length of equator of earth = 40,000,000 m
To find: no times Earth's equator is circled by line of bottles every day
No of plastic water bottles every day = 140,000,000
Length of 1 plastic water bottle = 0.25m
⇒ Length of 140,000,000 plastic bottles = 0.25 × 140000000
= 35000000 m
No. of times Earth's Equator is circled by bottles = [tex]\frac{35000000}{400000000}[/tex]
= 0.875
Therefore, 0.875 times Earth's equator is circled by plastic bottles every day.
Answer:
0.875
Step-by-step explanation:
A video game that costs $30 is on sale for 25% off. What is the sale price?
$37.50
$5
$27.50
$22.50
Answers
Multiply the original cost by 75% in decimal form.
30*.75=22.5
Final answer: $22.50
A city’s population, P (in thousands), can be modeled by the equation P = 130( 1.03)^x where x is the number of years after January 1, 2000. For what value of x does the model predict that the population of the city will be approximately 170,000?
Answers
To find the value of x for which the model predicts a population of approximately 170,000, solve the equation P = 130(1.03)^x. Divide both sides by 130, take the logarithm of both sides, and solve for x. The approximate value of x is 9.855.
Explanation:To find the value of x for which the model predicts a population of approximately 170,000, we need to solve the equation:
170 = 130(1.03)x
To solve for x, we can start by dividing both sides of the equation by 130:
170/130 = (1.03)x
1.3077 = (1.03)x
Next, take the logarithm of both sides of the equation:
log(1.3077) = x * log(1.03)
Using a calculator, we can find that x is approximately 9.855.
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Firstly, we need to clarify that the population given in the question, 170,000, is represented in 'thousands' in the modelling equation. Therefore, for simplicity, it is referred to as '170' in the equation.
We know from the problem that the population model is:
P = 130 * (1.03 ^ x),
where P is the population (in thousands) and x is the number of years since the start point (January 1, 2000). Given that we're looking for the point in time where the population is approximately 170,000 (or '170' in the terms of the equation), we can set P = 170 and solve for x:
170 = 130 * (1.03 ^ x)
Solving an equation in terms of x with an exponent can be handled neatly with logarithms. You can isolate the variable by taking the natural log (ln) of both sides. So we can transform our equation like this:
ln(170 / 130) = ln(1.03 ^ x)
Next, we use the property of logarithms that says the log of a number raised to an exponent is equal to the exponent times the log of the number:
ln(170 / 130) = x * ln(1.03)
Solving for x gives:
x = ln(170 / 130) / ln(1.03)
Calculating the value gives x ≈ 9.075604092564975. However, since the population is generally reported on an annual basis, we round the value of x up to the nearest whole number. That gives us:
x_rounded ≈ 10 years.
So, according to the model, the city's population will reach approximately 170,000 around 10 years after January 1, 2000.
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Factor k 2 + 13k + 12.
Answers
Reorder the terms: 12 + -13k + k2 = 0
Solving 12 + -13k + k2 = 0
Solving for variable 'k'.
Factor a trinomial. (1 + -1k)(12 + -1k) = 0
Answer:
The factors of the given polynomial are : (k + 1)(k + 12)
Step-by-step explanation:
The quadratic equation which is needed to be factorized is given as :
k² + 13k + 12
In order to factorize this, arrange 13k in such a way that the product of its factors equals to 12k² ⇒ 13k = 12k + k
⇒ k² + 13k + 12
⇒ k² + k + 12k + 12
⇒ k(k + 1) + 12(k + 1)
⇒ (k + 1)(k + 12)
Hence, The factors of the given polynomial are : (k + 1)(k + 12)
By how much does a^3 - 2a exceed a^2 + a - 6?
Answers
Answer
a³ - a² - 3a + 6
Explanation
The equation requires you to subtract the two expressions.
(a³ - 2a) - (a² + a - 6)
In such an expression we subtract the like term only.
(a³ - 2a) - (a² + a - 6) = a³ - 2a - a² - a + 6
= a³ - a² -2a - a + 6
= a³ - a² - 3a + 6