the diagram shows a cuboid 4cm, 5cm and 9cm what is the surface area of the cuboid?
length= 9 cm
width= 5 cm
height= 4 cm
to find:the surface area of the given cuboid.
solution:[tex]s.a = 2(lb + bh + lh)[/tex]
[tex]s.a = 2((9 \times 5) + (5 \times 4) + (9 \times 4))[/tex]
[tex]s.a = 2(45 + 20 + 36)[/tex]
[tex]s.a = 2 \times 101[/tex]
[tex]s.a = 202 \: {cm}^{2} [/tex]
therefore, the surface area of the given cuboid is 202 square centimeters.
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The usual price of a TV set was $400. During Memorial Day weekend, the price was marked down to
$335. What was the percent decrease in the price of the TV set?
сл
Answer:
The answer is 65% is the percent decrease
Kallen was invited to a birthday party for his best friend. He wanted to buy a gift that was $33.50 and wrapping paper that was $2.94. If he earns $5.75 for each lawn he mows, how many lawns will he need to complete to buy the gift and wrapping?
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) dx x 25x2 1
The integral of [tex]\int {x(25x^2 + 1)} \, dx[/tex] is [tex]\frac{25}{4}x^4 + \frac{x^2}{2} + C[/tex]
How to evaluate the integral?The integral expression is given as:
[tex]\int {x(25x^2 + 1)} \, dx[/tex]
Start by expanding the bracket
[tex]\int {25x^3 + x} \, dx[/tex]
Next, we integrate each term in the expression
[tex]\frac{25}{4}x^4 + \frac{x^2}{2} + C[/tex]
Hence, the integral of [tex]\int {x(25x^2 + 1)} \, dx[/tex] is [tex]\frac{25}{4}x^4 + \frac{x^2}{2} + C[/tex]
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find the value of x in the given figure
Answer:
20
Step-by-step explanation:
2x+3x+4x = 180 degree
9x = 180
X = 20.
Please help ASAP!
Find the largest number which divides 60 and 75, leaving remainders 8 and 10 respectively.
answer : 13
steps:
its asking
subtract 8 from 60 which is 56
subtract 10 from 75 which is 65
then its asking
find the largest number that can divide 56 and 65
that number is
13
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On a coordinate plane, a parabola opens down. It goes through (negative 3, negative 4), has a vertex at (negative 1, 0), and goes through (1, negative 4).
The graph of the function f(x) = –(x + 1)2 is shown. Use the drop-down menus to describe the key aspects of the function.
The vertex is the
.
The function is positive
.
The function is decreasing
.
The domain of the function is
.
The range of the function is
.
The key aspects of the function are
The vertex is the (-1, 0)The function is decreasing from x = -1 to infinityThe domain of the function is all sets of real numberThe range of the function is the set of all real numbers less than or equal to 0How to determine the key features?The function is given as:
f(x) = -(x + 1)^2
From the question, we have:
Vertex = (-1, 0)
Because the function has a negative leading term i.e. the negative sign at the beginning of -(x + 1)^2.
It means that the function is always negative.
Also, the domain of the function is all sets of real number, because it is an exponential function.
The y value of the vertex is 0 and the function is always negative. So, the range is all set of all real numbers less than or equal to 0
The x value of the vertex is -1 and the function is always negative. So, the function is decreasing from x = -1 to infinity
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Answer:
The vertex is the maximum value
The function is positive for no values of x
The function is decreasing when x > –1
The domain of the function is all real numbers
The range of the function is all numbers less than or equal to 0
Hope this helped!
Driving school A has 386 learner drivers and 284 pass their test first time. Driving school B has 220 learner drivers and 154 pass their first time. What is percentage pass rate of the more successful school? Answer to the nearest whole number.
Answer:
the more successful school is A
with a percentage pass rate of 74 % (to the nearest whole number)
Step-by-step explanation:
The percentage pass rate of school A :
(284÷386)×100 = 73.575129533679 %
The percentage pass rate of school B :
(154÷220)×100 = 70 %
73.575129533679 > 70
Then ,the more successful school is A
with a percentage pass rate of 74 % (to the nearest whole number)
Jasmine has 18 model horses. She
places the model horses equally on
3 shelves. How many model horses
are on each shelf?
Answer:
6 model horses on each shelf.
Explanation:
number of horses on each shelf = total horse ÷ total shelves
Here given:
total horses: 18total shelves: 3On each shelf, horses:
18 ÷ 36 horsesWrite a statement that indicates that the triangles in each pair are congruent.
Answer:
If the angle degree and size of triangle are similar or same, it is depicted as congruent.
Graph the image of this figure after a dilation with a scale factor of 1/2 centered at the origin. Use the polygon tool to graph the dilated figure.
Answer:
answer is (-2,1), (-1,4), (1,2)
pls mark me as brainliest
Which equation represents the directrix? y = –3 y = 3 x = –3 x = 3
The equation that represents the directrix of y² = 12x is x = -3
How to determine the directrix?The parabola is given as:
y² = 12x
The general equation of a parabola is
(y-y₀)² = 4a(x-x₀)
Where the equation of the directrix is x = x₀ - a
By comparing (y-y₀)² = 4a(x-x₀) and y² = 12x, we have:
4a = 12 and x-x₀ = x
Solve for a in 4a = 12
a = 3
Solve for x₀ in x-x₀ = x
x₀ = 0
Substitute a = 3 and x₀ = 0 in x = x₀ - a
x = 0 - 3
Evaluate
x = -3
Hence, the equation that represents the directrix is x = -3
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(100 points + brainliest)
A box of chocolates contains five milk chocolates, three dark chocolates, and 8 white chocolates. You randomly select and eat three chocolates. The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate.
What is the probability that this event happens? Show all of your steps used to solve this problem.
Answer:
3.6%
Step-by-step explanation:
This is an example of dependent events. When events are dependent, you have to multiply the probability of each event that happens after each other. Probability is desired outcome over all possible outcomes. For the milk chocolate, there are 5 pieces we can pick out of 16, so it's 5/16. Next, the probability of dark chocolate is 3/15 (There is one less piece of chocolate overall now). For the white chocolate, the possibility is 8/14. So now we have to multiply:
5*3*8 120 1
______ = _____ = ___ = (about) 0.036
16*15*14 3360 28
So, that's 3.6%
Hope this helps!
25 points for just a simple question look at image below.
Answer:
Corresponding angles are always congruent
can somebody help me?
Answer:
1/6
Step-by-step explanation:
Firstly the coin will have a probability of getting 1/2 for tails and also 1/2 for heads since it is fair.
A cube has 6 sides hence will have numbers 1-6 on each side. Numbers greater than 4 on a cube will be 5,6 and both of them have a 1/6 chance of getting drawn therefore in total it is a 2/6 chance.
Probability of getting tails is 1/2 and probability of getting number greater than 4 is 2/6.
Hence the total probability will be 1/2 x 2/6 = 1/6
please help me It's pythagorean theorem
Answer: 4
Step-by-step explanation:
3^2 + b^2 = 5^2
9 + b^2= 25
b^2 = 16
b = ±4
Answer:
The simple answer is 4 inches for steps look below
Step-by-step explanation:
According to pythagoras theorem
[tex] {5}^{2} = {3}^{2} + {x}^{2} \\ \\ \\ 25 - 9 = {x}^{2} \\ \\ x = 4[/tex]
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Nine balls, each marked with a number from 1 to 9, are placed in a bag and one ball is taken at random. What is the probability that the number on the ball is multiple of 2?
A.1/9
B.2/9
C.4/9
D.1
Total balls=sample space=9
Multiples of 2
{2,4,6,8}Total multiples=4
Probability
4/9Option C
Hello, the answer should be [tex]\frac{4}{9}[/tex], C option.
First, let's define the numbers that are a multiple of 2 from the balls we have.
2468Then, we will calculate our probability. To do this correctly, we must divide the amount of expected states into the amount of all the states.
Expected numbers: 2-4-6-8
All numbers: 1-2-3-4-5-6-7-8-9
[tex]P=\frac{{2,4,6,8}}{1,2,3,4,5,6,7,8,9} =\frac{4}{9}[/tex]
Good luck! If you have any questions, then feel free to ask in comments!
What are the values of the function when x=-2 and when x=4
Answer:
g(-2) = 0
g(4) = -4
Step-by-step explanation:
The outputs of each inequality are the numbers directly next to the parentheses. If an "x" value lies within a particular inequality, the values of the function are the corresponding output.
Remember, the "greater than or equal to" sign (≤) indicates that the "x" value can be equal to the number on the left. The "greater than" symbol (<) indicates that the number to the right cannot satisfy the inequality.
x = -2 lies within the inequality -2 ≤ x < 4. All "x" values that fall within this range are g(x) = 0. Therefore, g(-2) = 0.
x = 4 lies within the inequality 4 ≤ x < 10. All "x" values that fall within this range are g(x) = -4. Therefore, g(4) = -4.
What is the value of x in the image below?
Answer:
a
Step-by-step explanation:
An Air Force plane flew to the
maintenance facility and back. It took one
hour longer to go there than it did to come
back. The average speed on the trip there
was 256 km/h. The average speed on the
way back was 320 km/h. How many
hours did the trip there take?
Answer:
5 hours
Step-by-step explanation:
Time taken for trip : t + 1
Time taken for return : t
Avg. speed (trip) : 256 km/h
Avg. speed (return) : 320 km/h
The distances covered on both trips are equal.
⇒ Distance (trip) = Distance (return)
⇒ Speed (trip) × time (trip) = Speed (return) × time (return)
⇒ (256)(t + 1) = (320)(t)
⇒ 256t + 256 = 320t
⇒ 64t = 256
⇒ t = 4 hours
Time (trip) = t + 1 = 4 + 1 = 5 hours
A circle has radius of 12 inches. What is the length of the arc subtended by a central angle
of 7/6 radians? Round to the nearest ioth.
Answer:
why are you here have no brain
Step-by-step explanation:
Which shape is always a parallelogram
Answer:
A Square, Rectangle, and a Rhombus
Step-by-step explanation:
I think that is all of them.
PLEASE ANSWER 50 POINTS!!
what is [4^2+(5+3x4)]x3=
Answer:
[( 4² + 5 + 3 × 4 )] × 3
= ( 4 × 4 ) + 5 + 3 × 4 × 3
= 16 + 5 + ( 3 × 4 × 3 )
= 16 + 5 + ( 12 × 3 )
= 16 + 5 + 36
= 21 + 36
= 57
Answer:
99
Step-by-step explanation:
pemdas states:
PARENTHESIS
EXPONENTS
MULTIPLICATION/DIVISION (left to right)
ADDITION/SUBTRACTION (left to right)
the first equation you would do is 3*4 as it is in the most inner parenthesis and is a multiplication equation
3*4 = 12
then add 12 to 5
12 * 5 = 17
(4^2 + 17) * 3 is what you have left
the next thing you do is the exponent
4^2 is 4*4 or 16
then add 16 to 17
16 + 17 = 33
then at the end
you multiply it by 3
33 * 3 = 99
your answer is 99
A truck's engine needs 1 gallons of oil for an oil change. How many quarts of oil are needed?
Answer:
4.8038
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
there are 4 quarts in a gallon.
hope this helps, and do you mine answering my newst quition.
how to solve this equation its complicated
Answer:
x(adjucent ) = 3.8
Step-by-step explanation:
okay so you are been giving me a left angle triangle so what you are supposed to do is that the longest part which is indicated 7.4 is called the hypothesis whiles the other side indicated 3.6 is called the opposite and the down part is the adjacent. so to find the adjacent your formula is opposite + adjacent = hypothesis .
so therefore we can see that
3.6 + x = 7.4
x = 7.4 - 3.6
x = 3.8
How do i rewrite the equation?
Answer+Step-by-step explanation:
1)
[tex]x^{2}+4x+1=x^{2}+4x + (4 - 4) + 1[/tex]
[tex]=x^{2}+4x + 4 - 3[/tex]
[tex]=(x+2)^2-3[/tex]
then
[tex]x^{2}+4x+1=0[/tex]
[tex]\Longleftrightarrow \left( x+2\right)^{2} -3=0[/tex]
[tex]\Longleftrightarrow \left( x+2\right)^{2} =3[/tex]
2)
[tex]\left( x+2\right)^{2} =3[/tex]
⇔ |x + 2| = √3
⇔ x + 2 = √3 or x + 2 = -√3
⇔ x + 2 = ±√3
⇔ x = -2 ± √3
Four students, Adrian, Claire, Jackson, and Wyatt, line up one behind the other. How many different ways can they stand in line?
Hannah is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday, spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange, and flips a coin?
Which statement about odd functions is correct?
A. They are symmetric over the x-axis.
B. They have rotational symmetry.
C. They are symmetric over the y-axis.
D. They are transformations of the parent function.
No one because odd functions are symmetric about the origin.
What is an odd function?It is a function such that f (x) =f (x) with the sign reversed but the absolute value unchanged if the independent variable's sign is reversed.
If f(x) Equals f(x) for every x, a function is odd. An odd function's graph will be symmetrical around the origin.
For instance, f(x) = x3 is an odd number. That is, the function on one side of the x-axis is sign inverted in relation to the function on the other side, or graphically, symmetric about the origin.
Therefore the odd functions are symmetric about the origin.
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Answer: B
Step-by-step explanation:
Hi i would give brainlist (Which function best models the following table?
Answer:
A is the answer Have a great day
Step-by-step explanation:
Practice solving problems involving the area Assignment Which are true about the area of a circle? Check all that apply. The diameter is used in the formula. The units are always squared. The area can be found when given the diameter by first finding the radius. The area is the distance around the circle. Circumference can be used to find area.
