use the formulas to find the lateral area and the surface area of the given prism round your answer to the nearest whole number 5.39m 26m 5m 2m
the choices for the answer is
322m2 327m2
296m2 342m2
296m2 332m2
322m2 332m2
Answers
Answer:
for connexus 322m^2, 332m^2
Step-by-step explanation:
Related Questions
Factor the polynomial: x(5x-8)-2(5x-8)
A. -2x(5x-8)
B. 2x(5x-8)
C. (5x-8)(x-2)
D. (5x-8)(x+2)
Answers
Answer is C. (5x-8)(x-2)
The polynomial x(5x-8)-2(5x-8) is factored by identifying the common factor (5x-8) and simplifying to get (5x-8)(x-2), which corresponds to option C.
The question asks to factor the polynomial: x(5x-8)-2(5x-8). To factor this polynomial, observe that the term (5x-8) is common in both parts of the expression. This allows us to apply the factorization method by taking out the common factor. The steps are as follows:
Identify the common factor in both terms, which is (5x-8).
Factor out the common factor: (5x-8)(x-2).
This simplification shows that the polynomial can be written as the product of (5x-8) and (x-2), matching option C: (5x-8)(x-2).
Express each product in the simplest form. 3wx\6x * 3wx\9w
Answers
Answer: xw/6
A number is chosen at random from 1 to 50. find the probability of selecting numbers with 3 in the tens places
Answers
If you want to put a 4x8 piece of plywood through a 3 foot square opening in your ceiling by turning it diagonally is the opening big enough? use a 45-45-90 since its a square
Answers
c^2=a^2+b^2
The diagonal of the opening will be:
c^2=3^2+3^2
c^2=9+9
c^2=18
c=3√2 ft
The diagonal of the wood will be:
c^2=4^2+8^2
c^2=16+64
c^2=80
c=4√5 ft
The space will not be enough for the plywood to pass
PLEASE PLEASE HELP
question is attached
Answers
x1 = 4.8284
x2 = - 0.828
Remark
Substitute the value for y from the first equation into the second equation. Multiply by 4 and then see if it factors out. Solve for x first and then y.
Step one
Solve for y in the first equation. Subtract x from both sides.
y = 2 - x
Step Two
Equate the two ys.
2 - x = - 1/4x^2 + 3
Step Three
Bring the left side over to the right side.
0 = -1/4 x^2 + x + 3 - 2 Combine the like terms.
0 = -1/4 x^2 + x + 1
Step Four
0 = -1/4 x^2 + x + 1 Multiply through by 4
0 = - x^2 + 4x + 4
Step five
This won't factor. The only thing you can do is use the quadratic equation for roots.
a = - 1
b = 4
c = 4
[tex]\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac} }{2a}[/tex]
[tex]\text{x = }\dfrac{ -(4) \pm \sqrt{4^{2} - 4(-1)4}}{-2}[/tex]
[tex]\text{x = }\dfrac{ -(4) \pm \sqrt{16 + 16}}{-2} [/tex]
[tex]\text{x = } 2 \pm \sqrt{32 }\div -2 [/tex]
x = 2 +/- sqrt(4^2 * 2) / (- 2)
x = 2 +/- 4 sqrt(2) / - 2
x = 2 -/+ 2 sqrt(2)
x = 2 -/+ 2 *(1.414)
x = 2 -/+ 2.828
x1 = 4.8284
x2 = - 0.828
Short Answer
x1 = 4.8284
x2 = - 0.828
Remark
Substitute the value for y from the first equation into the second equation. Multiply by 4 and then see if it factors out. Solve for x first and then y.
Step one
Solve for y in the first equation. Subtract x from both sides.
y = 2 - x
Step Two
Equate the two ys.
2 - x = - 1/4x^2 + 3
Step Three
Bring the left side over to the right side.
0 = -1/4 x^2 + x + 3 - 2 Combine the like terms.
0 = -1/4 x^2 + x + 1
Step Four
0 = -1/4 x^2 + x + 1 Multiply through by 4
0 = - x^2 + 4x + 4
Step five
This won't factor. The only thing you can do is use the quadratic equation for roots.
a = - 1
b = 4
c = 4
x = 2 +/- sqrt(4^2 * 2) / (- 2)
x = 2 +/- 4 sqrt(2) / - 2
x = 2 -/+ 2 sqrt(2)
x = 2 -/+ 2 *(1.414)
x = 2 -/+ 2.828
x1 = 4.8284
I hope this helps
x = 2 +/- sqrt(4^2 * 2) / (- 2)
x = 2 +/- 4 sqrt(2) / - 2
x = 2 -/+ 2 sqrt(2)
x = 2 -/+ 2 *(1.414)
x = 2 -/+ 2.828
x1 = 4.82
in the polynomial function F(x)=1/2x^2+8-5x^3-19x what is the leading the coefficient
Answers
So its -5.
Answer:
-5
Step-by-step explanation:
The leading term in a polynomial consist on the highest degree term. To get the highest degree term, we need to reorder the polynomial from left to right, starting with the highest degree term.
In this case:
[tex]f(x)=\frac{1}{2} x^{2} +8-5x^{3} -19x[/tex]
reordering
[tex]f(x)=-5x^{3} +\frac{1}{2}x^{2} -19x+8[/tex]
So, the leading coefficient is the one with the leading term:
[tex]-5x^{3}[/tex]
So, it is -5
The ratio of boys to gils in art class is 1:2 there a 12 girls in the class. how many boys are there
Answers
1:2 = Half; 2:4, 3:6, 4:8, ETC.
6:12 Is Equal To 1:2, And There Are 12 Girls.
Expression: 1:2 = ?:12
? = 6
A triangular flag has an area of 187.5 square inches. The base of the flag measures 25 inch How tall is the triangular flag?
Answers
Answer:
To find the height, you would do the area divided by the base, or in this case,187.5 / 25 which equals 7.5 inches
Step-by-step explanation:
If GP=PH, GA =17, mED = 37, and mAB = 87, find each measure.
Answers
mAB = 87°
mED = 37°
mEFA=mBCD
360°=mAB+mED+mEFA+mBCD
360=87+37+2mBCD------> mBCD=[360-87-37]/2----> mBCD=118°
therefore
m BCD=118°
m FA=m EFA/2-----> m FA=118/2----> 59°
m FA=59°
m DC=m BCD/2----> m DC=118/2----> 59°
m DC=59°
HB=GA------> HB=17
DB=2*HB----> DB=2*17-----> DB=34
EG=GA------> EG=17
the answers are
DB=34
EG=17
mBCD=118°
mFA=59°
mDC=59°
Guys I need help with this question, I have some marked but i have no idea which ones are the correct ones to begin with...
Answers
The first two are the same, and both are correct.
A vertical directrix means that the parabola is opening around an axis of symmetry that is parallel to the x axis. In this case it is the x axis. The minus sign indicates that it opens left.
Solve the following quadratic equation using the quadratic formula.
5x^2 − 8x + 5 = 0
Write the solutions in the following form, where r, s, and t are integers, and the fractions are in simplest form.
x = r − si/t,x = r + si/t
Answers
[tex]5x^2-8x+5=0\to a=5;\ b=-8;\ c=5\\\\\Delta=(-8)^2-4\cdot5\cdot5=64-100=-36\\\\\sqrt\Delta=\sqrt{-36}=6i[/tex]
[tex]x_1=\dfrac{-(-8)-6i}{2\cdot5}=\dfrac{8-6i}{10}=\dfrac{4-3i}{5}\\\\x_2=\dfrac{-(-8)+6i}{2\cdot5}=\dfrac{8+6i}{10}=\dfrac{4+3i}{5}[/tex]
Quadratic equations can be solved using several methods; one of them, is by using quadratic formula
The solution to [tex]5x^2 - 8x + 5 = 0[/tex] is: [tex]x = \frac{4 + 3i}{5}, x = \frac{4 - 3i}{5}[/tex]
The equation is given as:
[tex]5x^2 - 8x + 5 = 0[/tex]
The quadratic formula is:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
In the given equation;
[tex]a = 5\\b = -8\\c = 5[/tex]
So:
[tex]x = \frac{-(-8) \± \sqrt{(-8)^2 - 4 \times 5 \times 5}}{2 \times 5}[/tex]
[tex]x = \frac{8 \± \sqrt{-36}}{10}[/tex]
Expand
[tex]x = \frac{8 \± \sqrt{36} \times \sqrt{-1}}{10}[/tex]
[tex]x = \frac{8 \± 6 \times \sqrt{-1}}{10}[/tex]
In complex numbers;
[tex]i = \sqrt{-1}[/tex]
So, we have:
[tex]x = \frac{8 \± 6 \times i}{10}[/tex]
[tex]x = \frac{8 \± 6i}{10}[/tex]
Simplify
[tex]x = \frac{4 \± 3i}{5}[/tex]
Split
[tex]x = \frac{4 + 3i}{5}, x = \frac{4 - 3i}{5}[/tex]
Hence, the solution to [tex]5x^2 - 8x + 5 = 0[/tex] is: [tex]x = \frac{4 + 3i}{5}, x = \frac{4 - 3i}{5}[/tex]
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At bonnie's bagels, you can choose from five different types of bagels, four different spreads, and four different toppings. how many different bagel combinations are possible?
Answers
Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of β if β < α.
sin(7x − 15) = cos(3x + 5)
Answers
in a right triangle
if sin A= cos B
then
angle A and angle B are complementary angles
so A+B=90
therefore
(7x-15)+(3x+5)=90-----> 10x-10=90----> 10x=100----> x=10°
so
7x-15------> 7*10-15----> 55°
3x+5------> 3*10+5----> 35°
we know that
β < α
therefore
the answer is
β =35°
α=55°
Answer:
The answer is B). 35
Step-by-step explanation:
I did it on USA Test Prep
Find g(x), where g(x) is the translation 9 units up of f(x)=x2. write your answer in the form m(x+a)2+b, where m, a, and b are integers.
Answers
Look at the picture.
Answer:
(x+9)^2
Step-by-step explanation:
a drainage pipe 66 in. tall measures 25.12 in. around.
Using the formula for the volume of a cylinder, what is the volume of the drainage pipe rounded to the nearest hundredth of a cubic inch?
(Pi = 3.14)
Answers
C= 3.14(2r)
25.12=2r divide each by 2
12.56=r
now use this in the volume formula:
V= 12.56^2(3.14)(66)
V=32,692.86 cubic inches
What is the value of x? x = 2 x = 3 x = 4 x = 6
Answers
Answer:
The answer is 3
Step-by-step explanation:
The value of x is 3.
The correct option is B.
Use one of your formulas from the figure we can write
x(x+21) = (x+1)(x+1+14)
Now, solving for x we get
x² + 21x = (x+1)(x+15)
x² + 21x = x² + 15x + x + 15
x² + 21x= x² + 16x+ 15
21x = 16x+ 15
21x - 16x = 15
5x= 15
x= 15/5
x= 3
Thus, the value x is 3.
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Brenda’s bank offers car financing for 3, 4 or 5 years. If brenda chooses 5-year financing, how many monthly payments will she have?
Answers
Number of payments=[Number of years]×[number of months]
Number of years=5
Number of months=12
hence
# Payments=5*12=60 monthly payments
Original tv cost: 700$
Current tv cost: 500$
Find the percent of decrease
Round to the nearest whole percent
Answers
100%------------> $700 (is the Original tv cost)
X %--------------> $500 (is the Current tv cost)
x=500*100/700----> 71.43%
the percent of decrease=100%-71.43%-----> 28.57%-----> 29%
the answer is
the percent of decrease is 29%
Hi
The answer : the percent of decrease is 29%
A cone-shaped hole is drilled into a solid cube of metal as shown. If the cube has sides of length 9 cm, what is the volume of the metal after the hole is drilled? Let π ≈ 3.14 and round your answer to the nearest tenth.
Answers
The volume of the cube after drilling hole is 538.24 cu.m, the correct option is D.
What is a Cube?A three dimensional figure that has all faces of a square, it has total 6 faces of equal length, height and width.
The Side of the cube is 9 cm.
The volume of the metal = Volume of the cube - Volume of cone
Volume of the cube = a³
Volume of cone = πr²h/3
Volume of metal = (9)³ - πr²h/3
The radius of the cone is half of the side length = 9/2 =4.5 cm
The height of the cone is 9 cm
Volume of metal = (9)³ - 3.14 * 4.5 ² * 9 /3
Volume of metal = 538.24 cu. cm
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Verify the equation below with each of the values listed for t to find a solution.
4 = 2t +8
Answers
4 = 2t + 8
4 + (-8) = 2t + 8 + (-8)
-4 = 2t
-4 / 2 = 2t / 2
-2 = t
t = -2
The length of a rectangle is twice it’s width.The length is 12cm.Work out the area of the rectangle
Answers
Answer:
Step-by-step explanation:
As with all word problems we first have to convert it to an equation or equations.
L = length of the Rectangle and W = its width
So L = 2 * W
A = area of the rectangle which is 128 cm^2
So A = L * W = 128 cm^2
substitute 2W for L from the 1st equation to give A = 2 * W * W = 2 * W^2 = 128 cm^2
Thus W^2 = 64 cm^2
finally W = 8 cm and therefore L = 2 * W = 16 cm
The perimeter P = 2 * (L+W) = 2* (8cm + 16cm) = 2 * 24cm = 48 cm
40 POINTS!
Any help would be greatly appreciated!
Answers
Look at the picture.
[tex]x=0\ \vee\ x=\pi\ \vee\ x=\dfrac{3\pi}{2}[/tex]
Need help please ASAP!!
Answers
Good Luck C:
Alexandra rented a costume for $39 per day.
She knows there was a deposit for the costume, but she cannot remember the amount of the deposit.
If she rented the costume for 3 days and paid a total of $167, the deposit must have been $____
Answers
3 days = $39 x 3 = $117
Deposit = $167 - $117 = $50
Answer: Deposit = $50
Answer:
$50
Step-by-step explanation:
because I know :p
Have a good day!
Which of the following would triple the volume of the Egyptian square-based Pyramid below?
A. Multiply only the height by 3.
B. Add 3 to each dimension of the Pyramid.
C. Multiply every dimension of the Pyramid by 3.
D. Add 3 to the slant height.
Answers
Final answer:
To triple the volume of a square-based Egyptian pyramid, you must multiply every dimension of the pyramid by 3. This is because volume is proportional to all three dimensions of the shape, and changing just one dimension won't achieve the desired effect.
Explanation:
The question asks which action would triple the volume of a square-based Egyptian pyramid. The volume (V) of a pyramid is calculated using the formula V = (1/3) × base area × height. To triple the volume, you would need to triple the factor of each dimension because volume is a three-dimensional measurement, and changing one dimension alone would not be sufficient.
Option A suggests multiplying only the height by 3, but this would not triple the volume as the base area remains the same. Option B suggests adding 3 to each dimension, but adding a constant to linear dimensions does not maintain a proportional relationship to volume.
Option D suggests adding 3 to the slant height, which does not directly correlate to the volume. Therefore, option C is correct: Multiplying every dimension of the Pyramid by 3 would indeed triple the volume because changing each dimension equally maintains the proportion. This is similar to how if a block's dimensions were doubled (2L × 2L × 2L), the new volume would be 8 times the original (8L³).
The next stop on the road trip is the zoo! jacob goes to find his favorite animal, the giraffe. jacob wonders how tall the tallest giraffe at the zoo is. if jacob is 5 feet 6 inches and his shadow at the time is 3 feet long, find the height of the giraffe whose shadow is 5 feet 9 inches at the same time.
Answers
The height of the giraffe whose shadow is 5 feet 9 inches at the same time will be 10 feet and 6.5 inches.
What are ratio and proportion?A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.
The next stop on the road trip is the zoo.
Jacob goes to find his favorite animal, the giraffe.
Jacob wonders how tall the tallest giraffe at the zoo is.
If Jacob is 5 feet 6 inches and his shadow at the time is 3 feet long.
Then the height of the giraffe whose shadow is 5 feet 9 inches at the same time will be
Let x be the hieght of the giraffe. Then we have
The ratio will remain constant.
x / 5.75 = 5.5 / 3
x = 10.54
x = 10 feet 6.5 inches
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He shorter leg of a 30°-60°-90° triangle is 6. what is the length of the hypotenuse?
Answers
ABCD is an isosceles trapezoid with legs AB and CD, and base BC. If the length of AB = 6y +5, the length of BC= 4y - 6, and the length of CD= 2y +1, what is the value of y?
Answers
To find the value of y in the given isosceles trapezoid ABCD, we can set up an equation AB = CD and solve for y.
Explanation:To find the value of y in the given isosceles trapezoid ABCD, we can set up the equation AB = CD and solve for y.
Given that AB = 6y + 5 and CD = 2y + 1, we have the equation 6y + 5 = 2y + 1.
Simplifying this equation, we can subtract 2y from both sides to get 4y + 5 = 1.
Finally, subtracting 5 from both sides gives us 4y = -4.
Dividing both sides of the equation by 4, we find that y = -1.
To find the value of y in an isosceles trapezoid ABCD with given side lengths in terms of y, we set the equations for the congruent legs, AB = 6y + 5 and CD = 2y + 1, equal to each other and solve for y, arriving at y = -1.
Explanation:To find the value of y in an isosceles trapezoid where the lengths of the sides are given in terms of y, we can utilize the properties of an isosceles trapezoid. In an isosceles trapezoid, the legs (non-parallel sides) are congruent. Given that AB = 6y + 5 and CD = 2y + 1, and these lengths must be equal for ABCD to be an isosceles trapezoid, we can set up the following equation:
6y + 5 = 2y + 1
Solving for y, we subtract 2y from both sides to get:
4y + 5 = 1
Now, subtract 5 from both sides:
4y = -4
And finally, divide by 4 to find y:
y = -1
Thus, the value of y is -1.
Box a is by 2 lb lighter than box b and 5 times lighter than box
c. boxes a and c together are 4 times heavier than box
b. find the weight of each box.
Answers
----------------------------------------------------------------------------------------------------
Box A = x
Box B = x+2
Box C = 5x
----------------------------------------------------------------------------------------------------
Now Using The Rest Of The Information Make An Equation Like So.
----------------------------------------------------------------------------------------------------
4(x+2) = 5x + x
4x + 8 = 6x
8 = 2x
x = 4
---------------------------------------------------------------------------------------------
Now Go Back To The Top And Insert x
---------------------------------------------------------------------------------------------
Box A = x = 4
Box B = x+2 = 6
Box C = 5x = 20
Answer:
Box A: 4
Box B: 6
Box C: 20
Step-by-step explanation:
Because 4+2 = 6
4 x 5 = 20
an initial deposit of $200 is made into an account that pays 4.2% annual interest. What is a model to represent the balance in the account after x years?
Answers
A = Original amount = 200
r = interest rate = 0.042 (when converted from percent to decimal)
t = time = x
Plug them in and you get the model: y = 200(1+0.042)^x
or just simplify the parentheses to (1.042)
The model to represent the balance in an account from an initial deposit of $200 at an annual interest of 4.2% is given by the formula A = 200(1.042)^x. Here A is the amount accrued after x years.
Explanation:The subject of the given problem is related to exponential growth as it involves the growth of a principal amount in a bank account accruing annual interest. The model to represent the balance in the account after x years can be described by the formula A = P(1 + r/n)^(nt). Where, A represents the amount of money accumulated after n years, including interest. P is the principal amount (the initial amount of money), r is the annual interest rate (in decimal form), n is the number of times that interest is compounded per year, t is the time the money is invested for in years.
In this case, P = $200, r = 4.2/100 = 0.042 (converted percentage to decimal), n = 1 (since it is compounded annually), and t = x (number of years). Substituting these values into the formula, we obtain the model: A = 200 (1 + 0.042) ^ (1*x) simplified to, A = 200(1.042)^x. Which is used to represent the balance in the account after x years.
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