Answers
Answer:
390 m^2
Step-by-step explanation:
So let's start by finding the surface area of the two triangles on the side. Generally the area of a triangle can be calculated as: [tex]\frac{1}{2}bh[/tex]. but since there is two of them, we can calculate the area of both of them by simply canceling out the 1/2 to a 1. So the area of both triangles are 12 m * 5m as given in the diagram. This gives you 60m^2 area for both triangles on the side
Now let's calculate the rectangle on the top. It has a width and length of 13 and 11 m. So multiply these together to get: 143 m^2
Now let's calculate the rectangle that's on the bottom, it has the dimensions 11 and 12m and multiplying these together gets you: 132 m^2\
Now calculate the rectangle all the way in the back, it has the dimensions 5 and 11m, multiplying these together gets you 55 m^2.
Now add all these together: 60m^2 + 143m^2 + 132m^2 + 55m^2 = 390m^2
Related Questions
The Ramos family drove to their family reunion. Before lunch, they drove at a constant rate of 55 miles per hour for 3 hours. After lunch, they drove at a constant rate of 45 miles per hour for 2 hours. How many total miles did the Ramos family drive?
ASAP
Answers
Answer:
ok so first they drove 55 for 3 hours so
55*3=165
and then they drove 45 for 2 hours
45*2=90
165+90=255
so in total they drove 255 miles
Step-by-step explanation:
Answer:
255 miles
Step-by-step explanation:
[tex]\boxed{\sf Distance= Speed \times Time}[/tex]
Journey before lunch:
Speed = 55 mphTime = 3 hrs[tex]\implies \sf Distance = 55 \times 3=165\: miles[/tex]
Journey after lunch:
Speed = 45 mphTime = 2 hrs[tex]\implies \sf Distance = 45 \times 2=90\: miles[/tex]
Total miles driven
= distance traveled before lunch + distance traveled after lunch
= 165 miles + 90 miles
= 255 miles
Therefore, the Ramos family drove 255 miles in total.
In the following exercises, multiply the binomials. Use any method.
243. (y − 6)(y − 2)
Answers
Answer:
Hence the expression. [tex](y-6)(y-2)=y^{2} -8x-12[/tex]
Step-by-step explanation:
The given expression is (y-6)(y-2).We have to multiply the given expression.Multiply the (y-6) by -2, multiply the (y-6) by y then add like terms.[tex]$$\begin{array}{r}y-6 \\\times \quad \underline{y-2} \\-2 y-12 \\\underline{y^{2}-6 y} \\y^{2}-8 y-12\end{array}$$[/tex]
Consider the following situations: (a) A survey of 18,87518,875 people aged 1818 to 2525 reported that 55.1U.1% drank alcohol in the past month. (b) In a study of work stress, 250250 restaurant workers were asked about the impact of work stress on their personal lives. (c) In a study of Monarch butterflies, 5555 milkweed plants in a Yosemite Valley were randomly sampled. The average number of Monarch eggs per plant was 0.73.was 0.73. Identify the population and sample for each of the situations.
1. 18.875 people age 18 to 25 2. All people aged 18 to 25 3. Proportion of 55.1% 4. All restaurant workers 5. 250 restaurant workers 6. 55 milkweed plants 7. All milkweed plants in Yosemite Valley 8. Average of 0.73
a. Population b. Sample
Answers
First statement shows sample ,second shows population, third shows sample, fourth shows population, fifth shows sample, sixth shows sample, seventh shows population, eight shows sample.
Given eight statements which shows the variables in research of alcholic consumption.
Population is anentire group about which we want to find the conclusions.
Sample is a part of population for which the conclusions are drawn. The size of sample may varry with the effectiveness and the confidence level needed.
First statement is a sample because it defines a number of people.
Second statement is a population as it shows all the people fro age 18 to 25.
Third statement is a sample as it defines a percentage of people.
Fourth statement is a population as it contains all the workers.
Fifth statement is a sample because it shows number of restaurant workers.
Sixth statement is a sample because it shows a definite number.
Seventh statement is a population as it includes all the milkweed plants.
Eight statement is a sample as it contains a definite percentage.
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Given that x and y are positive integers, solve the equation x² - 4y² = 13
Answers
=====================================================
Explanation:
Apply the difference of squares rule
x² - 4y² = 13
x² - (2y)² = 13
(x - 2y)(x + 2y) = 13
Since x and y are positive integers, this means x-2y and x+2y are both integers as well.
The value 13 is prime. Its only factors are 1 and 13
Since the above equation shows 13 factoring into x-2y and x+2y, then we have two cases:
A) x-2y = 1 and x+2y = 13B) x-2y = 13 and x+2y = 1----------------
Let's consider case A
We have this system of equations
[tex]\begin{cases}x-2y = 1\\x+2y = 13\end{cases}[/tex]
Add the equations straight down
x+x becomes 2x-2y+2y becomes 0y = 0 which goes away1+13 becomes 14Therefore we have 2x = 14 solve to x = 7
From here, plug this into either equation to solve for y
x-2y = 1
7 - 2y = 1
-2y = 1-7
-2y = -6
y = -6/(-2)
y = 3
You should get the same result if you used x+2y = 13
----------------
Since we've found that x = 7 and y = 3, notice how case B is not possible
Example: x-2y = 13 becomes 7-2(3) = 13 which is false.
Also, x+2y = 1 would turn into 7+2(3) = 1 which is also false.
-----------------
Let's check those x and y values in the original equation
x² - 4y² = 13
7² - 4*(3)² = 13
49 - 4(9) = 13
49 - 36 = 13
13 = 13
The answer is confirmed.
A toy rocket is launched from a 1.4 m high platform in such a way that its height, h (in meters), after t seconds is given by the equation
h= -4.9t² +9.1t+1.4. How long will it take for the rocket to hit the ground?
Answers
sub h=1.4
1.4=-4.9t²+9.1t+1.4
-4.9t²+9.1t=0
now factorise the equation
(t-13/7)(t)=0
t=13/7 or
t=0(reject, t must be >0)
Therefore, t=13/7s
The rocket will take 2 seconds for the rocket to hit the ground.
We have,
To find the time it takes for the rocket to hit the ground, we need to determine when the height, h, becomes zero (since the ground is at height zero).
Given the equation for the height of the rocket at time t:
h = -4.9t² + 9.1t + 1.4, we can set h to zero and solve for t:
0 = -4.9t² + 9.1t + 1.4
This is a quadratic equation in the form of at² + bt + c = 0,
where a = -4.9, b = 9.1, and c = 1.4.
To solve for t, we can use the quadratic formula:
t = (-b ± √(b² - 4ac)) / 2a
Substituting the values:
t = (-(9.1) ± √((9.1)² - 4(-4.9)(1.4))) / 2(-4.9)
t = (-9.1 ± √(82.81 + 27.44)) / (-9.8)
t = (-9.1 ± √110.25) / (-9.8)
Now, we have two possible solutions for t:
t₁ = (-9.1 + √110.25) / (-9.8)
t₂ = (-9.1 - √110.25) / (-9.8)
Calculating these values:
t₁ ≈ -0.143
t₂ ≈ 2
Since time cannot be negative, the only meaningful solution is t₂ ≈ 2 seconds.
Thus,
The rocket will take 2 seconds for the rocket to hit the ground.
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Which of the following is NOT a solution to the system of inequalities? Please help
A) (1, 5)
B) (2, 1)
C) (1, 2)
D) (0, 4)
Answers
Answer:
B (It isn't in the shaded region)
Choose the equation that represents a line that passes through the point (1,5) and has undefined slope.
Answers
Answer:
x = 1
Step-by-step explanation:
A line with undefined slope is a vertical line with equation
x = c
where c is the value of the x- coordinates the line passes through
the line passes through (1, 5 ) with x- coordinate 1 , then
x = 1 ← equation of line
To make a small vase, elisa uses no more than 4.5 ounces of clay. to make a large vase, she uses at least 12 ounces of clay. which compound inequality represents the number of ounces of clay, c, that elisa uses to make one vase of either size?
Answers
The compound inequality which represents the number of ounces of clay is c≤4.5 or c≥12.
Given ELISA uses no more than 4.5 ounces of clay and to make a large vase, she uses at least 12 ounces of clay.
Let c denote the wide variety of oz of clay that Elisa makes use of to make one vase of both length.
The words "no more than" implies "much less than or equals to".
So, for a small vase c must be less than or equal to 4.5 ounce, which gives
c≤4.5 ...(1)
And to make a huge vase, she makes use of as a minimum 12 oz of clay.
The word "at least" implies "extra than or equals to"
So, for a large vase c must be more than or equal to 12 ounce, which gives
c≥12 ...(2)
By combining equations (1) and (2), we get
c ≤ 4.5 or c ≥ 12
Hence, the compound inequality represents the number of ounces of clay, c, that ELISA uses to make one vase of either size is c≤4.5 or c≥12.
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Answer:
D. c ≤ 4.5 or c ≥ 12
Step-by-step explanation:
Solve for x.
3(x + 5)-2(x+2)=20
1
9
13
Answers
Answer:
the answer is 9
Step-by-step explanation:
if you use distributive property you'll find your answer
x = 9
Step-by-step explanation:
3(x+5)-2(x+2)=20
3x +15 - 2x - 4 = 20
3x - 2x = 20 + 4 - 15
x = 24 - 15
x = 9
The mass of the dust particle can be written in the form ax 100 kg, where a = ₁ and b =
The mass of the comet can be written in the form of a × 10b kg, where a =
and b
D
Submit
DELL
Answers
The dust particle is seen to have 400 times more mass than the pollen particle
How to use rule of exponents?We will use the scientific notation.
For example, 0, 002 can be written as:
2 × 10³
Where;
3 is the number of times the comma (,) must be run to the right to convert the quantity 0, 002 to 2.
0, 002
0| 0 0 2
0 0| 02 -----------1
0 0 0|2------------2
0 0 0 2| ----------3
Thus, for the given expression:
Powder particle 0.000000778 g
It can be written as: 0.0000008 g = 8 × 10⁻⁷
b = -7
In the same way
Pollen grain of 0.00000000155 g
It can be written as:
0.000000002 g = 2 × 10⁻⁹
To know how big the mass of the dust particle is with respect to the pollen, we have;
(8 × 10⁻⁷)/(2 × 10⁻⁹) = 400
Complete question is;
The table below shows the approximate masses of a dust particle and a grain of pollen.
Dust Particle 0.000000778 g
Grain of Pollen 0.00000000155 g
The mass of a dust particle can be estimated and written in the form a × 10^b, where a = 8 and b =
The mass of a grain of pollen can be estimated and written in the form a × 10^b, where a = 2 and b =
Based on the estimates, the mass of a dust particle is approximately BLANK
times larger than the mass of a grain of pollen.
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According to the synthetic division below, which of the following statements
are true?
Check all that apply.
54 -17 -15
20 15
3 0
4
A. (4x2-17x-15) - (x + 5) = (4x + 3)
B. The number 5 is a root of F(x) = 4x² - 17x - 15.
OC. (4x2-17x-15) - (x - 5) = (4x + 3)
D. (x+5) is a factor of 4x2-17x-15.
E. The number -5 is a root of F(x) = 4x²-17x-15.
OF. (x-5) is a factor of 4x2 - 17x-15.
Answers
The correct statements about the synthetic division are C, D, F.
How to illustrate the information?It should be noted that 4x² - 17x - 15 will be:
= 4x² - 20x - 3x - 15
= (x - 5)(4x + 3)
The roots of the polynomial will be:
= f(x) = 0
(x - 5) = 0
x = 5
4x + 3 = 0
x = -3/4
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The list below gives the location of friends who are scuba diving together.
Mallory is exploring at an elevation of -25 feet.
Jacob is standing on the boat, at an elevation of 15 feet.
Eva just jumped in and is 5 feet below the surface of the water.
Which inequality correctly compares the distance of the scuba divers from the surface of the water?
Eva > Mallory
Mallory < Jacob
Jacob < Eva
Mallory > Eva
Answers
According to the information, it can be inferred that the correct inequality is Mallory > Eva (option D).
How to identify who is closer to the surface of the water?To identify who is closer to the surface of the water we must read the distance that each of the characters is.
In this case, the person closest to the surface is Eva, who is 5 feet from the surface.
Now we must identify which inequality corresponds to reality. In this case the inequality that is correct is:
Mallory > EvaThis inequality is correct because Mallory is further from the surface than Eva.
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Meghan drew a scale drawing of a city. A neighborhood park is 12 inches wide in the drawing. The actual park is 144 yards wide. What is the scale of the drawing? 1 inch = ______ yards.
Answers
Using proportions, it is found that the scale of the drawing is:
1 inch = 12 yards.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The scale is that 144 yards are represented by 12 inches, hence:
144/12 = 12
Then, 1 inch = 12 yards.
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Please help ill give whoever answers the best the brainliest answer :)
Answers
Answer: The first answer choice
Step-by-step explanation:
In the first answer choice, the distance increases for two units, then decreases for three units. The distance then increased for 4 units, stayed level for 3 units, and then decrease slowly for 6 units. The graph exactly follows this trend.
The second answer is immediately wrong because it relates the distance between the car and the concert venue. It never mentioned that the car moved, and the venue obviously can't move.
The third answer says that after the first increase/decrease, Tyler went to go text his friends. However, the graph does not show a flat area after the first increase/decrease.
The fourth answer, like the second answer is immediately wrong because homes and schools can't move.
This is my first response, so I hope it was helpful. :D
The Marcos family consists of 2 adults and 4 children. They spent a total of $40 on circus tickets. Let x represent the cost of an adult ticket, and let y represent the cost of a child’s ticket. Which graph represents the possible costs of the tickets?
On a coordinate plane, a line goes through points (0, 10) and (20, 0).
On a coordinate plane, a line goes through points (0, 20) and (10, 0).
On a coordinate plane, a line goes through points (negative 10, 0) and (0, 20).
On a coordinate plane, a line goes through points (negative 20, 0) and (0, 10).
Answers
Answer:
First Option
Step-by-step explanation:
First, we will find the equation for the total cost of the tickets.
Given x = Cost of 1 adult ticket
y = Cost of 1 Child ticket
Total Cost of tickets at $40:
2x + 4y = 40
To find which graph represent the cost of the tickets,
we can substitute x = 0 to find y and vice-versa.
If x = 0 ,
[tex]2(0) + 4y = 40\\4y = 40\\y = \frac{40}{4} \\= 10[/tex]
So when x = 0 , y = 10 which gives the coordinates (0,10).
Now if y = 0,
[tex]2x+4(0) = 40\\2x = 40\\x = \frac{40}{2} \\= 20[/tex]
So when y = 0 , x = 20 which gives the coordinates (20,0)
This shows that this particular line passes through these 2 points and therefore the answer is the first option.
Answer: A i just took the test
Step-by-step explanation:
Area=
Please help, thanks so much
Answers
The area of LMNP is 6. 25 π^2
How to determine the areaArea of a rectangle = length × width
Circumference = 2 (length + width)
If circumference = 10 π
Let's find the length and width
10π = 2( L+ W)
10 π = 2(L + W)
10π = 2(L+ W)
L + W = 10π ÷ 2
L + W = 5π
Length = 2. 5π
Width = 2. 5π
Area = 2. 5π× 2. 5π
Area = 6. 25 π^2
Thus, the area of LMNP is 6. 25 π^2
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a is directly proportional to the cube root of c.
w is inversely proportional to the square root of a
When c = 2, a = 48
When a = 9, w = 2400
Find the value of w when c = 6
Answers
The value of w is 38400 when the value of c is 6 as per the concept of a proportional relationship.
Given:
a is directly proportional to the cube root of c.w is inversely proportional to the square root of a.When c = 2, a = 48When a = 9, w = 2400We have to find the value of w at c = 6.
If c = 6, then the value of a becomes a = 48 times (6 divided by 3)
Therefore, the value of a can be evaluated as,
a = 48 x 6/3
a = 48 x 3
a = 144
To find the value of w, rearrange the value of 'a' in the multiple of 9.
For that, divide 144 by 9.
144/9 = 16.
Now, multiply 16 by 2400.
The final value of w = 2400 x 16
w = 38400
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Two points have the coordinates P (6, -3,9) and Q (3, -6, -3). A point R divides line PQ internally in the ratio 1:2. The position vectors of P, Q and Rare p, q and r respectively.
(a) Express the position vector of p and q.
i. In terms of p and q.
ii. In terms of i, j and k
(b) Hence state the coordinates of R.
Answers
Answer:
p = 6i -3j +9k
q = 3i -6j -3k
r = 2p +q
r = 5i -4j +5k
R(5, -4, 5)
Step-by-step explanation:
Given points P(6, -3, 9) and Q(3, -6, -3) and R that divides PQ in the ratio 1:2, you want ...
position vectors p and qr in terms of p and qr in terms i, j, and kthe coordinates of RPosition vectorThe vector from the origin to a point (x, y, z) will be ...
xi +yj +zk
where i, j, k are unit vectors in the direction of the x, y, and z axes, respectively.
Using this pattern, we find the position vectors p and q to points P and Q to be ...
p = 6i -3j +9k . . . . . . . . . . . . . position vector p
q = 3i -6j -3k . . . . . . . . . . . . . position vector q
DivisionPoint R divides PQ in the ratio 1:2, so its position vector will be the weighted sum of p and q:
r = (2p +q)/3 . . . . . . . . . . . . . . . . r in terms of p and q
Using the values of p and q from above, we find r to be ...
r = (2(6i -3j +9k) +(3i -6j -3k))/3 = ((2·6+3)i +(2(-3)-6)j +(2·9-3)k)/3
r = 5i -4j +5k . . . . . . . . . . r in terms of i, j, k
CoordinatesThe coordinates of R are the coordinates of the head of position vector r:
R(5, -4, 5) . . . . . . . . . . . . . coordinates of R
Please help! If the current in a circuit is 3 + j2 amps and the resistance is 4 - j3 ohms, what is the voltage?
Answers
The value of the voltage is 18 - j volts if the current in a circuit is 3 + j2 amps and the resistance is 4 - j3 ohms option (c) is correct.
What is a complex number?
It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have:
The current in a circuit is 3 + j2 amps and the resistance is 4 - j3 ohms.
As we know,
V = IR
V = (3 + j2)(4 - j3)
[tex]\rm V=\left(3\cdot \:4-2\left(-3\right)\right)+\left(3\left(-3\right)+2\cdot \:4\right)j[/tex]
j² = -1 (complex part)
After simplification:
V = 18 - j volts
Thus, the value of the voltage is 18 - j volts if the current in a circuit is 3 + j2 amps and the resistance is 4 - j3 ohms option (c) is correct.
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Please help!! T-T Overdue~~~
Answers
Answer:
5√3
Step-by-step explanation:
An equilateral triangle is a triangle that has all same 3 measurements of 60°, and since all measurements are same, all sides are also equal too.
Hence, there'll be 3 sides that are 10 units. Since the base is divided into half, each will be 5 for base.
Then apply Pythagoras Theorem where states that:
[tex]\displaystyle{c=\sqrt{a^2+b^2}}[/tex] or [tex]\displaystyle{c^2=a^2+b^2}[/tex]
where c is hypotenuse, a and b can be defined either adjacent or opposite.
We know that our adjacent is 5 units, opposite is h unit(s) and hypotenuse is 10 units. Apply the theorem:
[tex]\displaystyle{10^2=h^2+5^2}[/tex]
Solve the equation for h-term:
[tex]\displaystyle{100=h^2+25}\\\\\displaystyle{100-25=h^2}\\\\\displaystyle{75=h^2}\\\\\displaystyle{h=5\sqrt{3} }[/tex]
Therefore, the height or value of h is 5√3
The picture is attached for visual reference regarding sides of triangle. If you have any questions, please let me know in the comment!
Which of the following is most likely the next step in the series?
Answers
The next step in the series is option C.
How to solve for the steps in the seriesFirst we are presented by different shapes.
The first shape is a square. This shape has 4 sides.
The next shape is a pentagon, it has 5 sides.
The shape after the pentagon is a hexagon. It has 6 sides.
From here we can see that the shapes follow the pattern , 4, 5, 6 ..., the next shape should be 6 + 1 sides = 7 sides.
Hence the answer is option C.
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Simplify using order of P
operations.
3² - (2 + 1)²
E
MD
AS
Answers
Answer:
o
Step-by-step explanation:
Order of operations. Left-to-Right prevails
P = parenthesis first
E = exponentiation
MD multiplication/division leftmost has higher priority
AS addition/subtraction leftmost first
1st computation: (2 + 2) because of P ==> 3
2nd Computation: 3² = 9
3rd computation (1+2)² = 3² = 9
Answer 9 - 9 = 0
As bria's distance from her house increases from 80 yards to 190 yards, her distance from the bus stop varies from ______ yards to ________ yards.
Answers
Answer:
This really needs more information to answer correctly. What is bria's movement relative to the bus stop? Is she moving towards it, away, or to the side?
Step-by-step explanation:
Lacking this information, I can only say that as Bria's distance increases as she moves away from the bus stop (an assumption of direction). Let's say the bus stop is x yards distant in the other direction. Bria's distance from the bus stop varies from x+80 yards to x+190 yards. The signs would change if she were moving towards the bus stop. And they'd be something entirely different if a different angle were involved.
2 six-sided dice, one green and one red, are released. What is the probability that : The number on the red die is 3
Answers
There are 12 sweets in a bag. The
probability of choosing a strawberry sweet
5
1
is 12, a cola sweet is and a raspberry
sweet is. What is the probability of
3
choosing either a raspberry or a
strawberry sweet? Give your answer in its
simplest form.
Answers
The probability of choosing either a raspberry or a strawberry sweet is 17/60.
Probability of choosing either a raspberry or a strawberry sweetLet the probability of choosing a strawberry sweet P(s) = 1/5Let the probability of choosing a cola sweet and a raspberry = 1/12
P(s) ∩ P(c) = P(s) x P(c) = 1/12
where;
P(s) is the probability of choosing a strawberry sweet P(c) is the probability of choosing a cola sweet1/12 = P(s) x P(c)
1/12 = 1/5 x P(c)
P(c) = 5/12
P(s) ∪ P(c) = 1/5 + 5/12 = 17/60
Thus, the probability of choosing either a raspberry or a strawberry sweet is 17/60.
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Please Help Me Ill Appreciate Your Help Please And Thank You!
Answers
The student has to plug y=2x+4 into 3x+y=9 to solve for the system of equations
Answer:
Step-by-step explanation:
The friend solved
Consider the given solids with the dimensions shown. Which solids are similar? three cubes. Figure 1 has side lengths of 5 ft, figure 2 has side lengths of 7 feet, figure 3 has side lengths of 10 feet. Figures not drawn to scale A. only figure 1 and figure 2 B. only figure 1 and figure 3 C. only figure 2 and figure 3 D. all three figures
Answers
Answer:
D. all three figures
Step-by-step explanation:
A cube is a rectangular prism that has every edge equal in length to every other edge. This ratio of edge lengths holds for all cubes. Every cube is similar to every other cube.
ApplicationCubes with edge lengths of 5 ft, 7 ft, and 10 ft will all be similar. Any pair of corresponding edges of different cubes will have the same ratio.
what is m(angle) DCE
Answers
Applying the inscribed angle theorem, m∠CED = 34°.
What is the Inscribed Angle Theorem?According to the inscribed angle theorem, measure of inscribed angle DCE = 1/2(measure of intercepted arc ED).
m(ED) = 180 - 112 [semicircle]
m(ED) = 68°
m∠CED = 1/2(68°) [inscribed angle theorem]
m∠CED = 34°
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How many solutions does the following equation have? -1/3x2=5/6+1/3y2 5y2=25/2-5x2
Answers
The system of equations have 2 solutions
How to determine the number of solutions?The system of equations is given as:
-1/3x² = 5/6 + 1/3y²
5y² = 25/2 - 5x²
Next, we plot the graph of the system of equations.
From the attached graph, the equations intersect at two points
Hence, the system of equations have 2 solutions
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Expand. (n^2 -3n +1)(2n + 3) =
Answers
Answer:
[tex]2n^3-3n^2-7n+3[/tex]
Step-by-step explanation:
[tex](n^2 -3n +1)(2n + 3) =\\n^2(2n) - (3n)(2n) + (1)2n + (n^2)(3) + (-3n)(3) + (1)(3)=\\2n^3 - 6n^2 + 2n + 3n^2 -9n + 3 =\\[/tex]
Collecting like terms and simplifying yields
[tex]2n^3-3n^2-7n+3[/tex]