Answer:
A.
Step-by-step explanation:
2×sqrt(48) - (2 + sqrt(12))(5 - sqrt(12))
2×sqrt(16×3) - (2 + sqrt(4×3))(5 - sqrt(4×3))
2×4×sqrt(3) - (2 + 2×sqrt(3))(5 - 2×sqrt(3))
8×sqrt(3) - (10 - 4×sqrt(3) + 10×sqrt(3) - 4×3)
8×sqrt(3) - 10 - 6×sqrt(3) + 12
2×sqrt(3) + 2
Geometry problem help, will reward brainly! both dont have to be solved, but id really appreciate it.
Answer:
height: 8 mslant height: 5 inStep-by-step explanation:
The parameter of interest can be found by putting the given values into the appropriate volume or area formula for a pyramid, then solving for the unknown. The relevant formulas are ...
V = 1/3s²h . . . . . s is the base length; h is the height
A = s(s +2h) . . . . s is the base length; h is the slant height
__
height given volumeUsing the given values for the volume and the length of the base, the formula becomes ...
V = 1/3s²h
96 m³ = 1/3(6 m)²h . . . . . . . . . . use the given values for V, s
(96 m³)/(12 m²) = 8 m = h . . . . . divide by the coefficient of h
The height of the pyramid is 8 meters.
__
slant height given areaUsing the given values for area and the length of the base, the formula becomes ...
A = s(s +2h)
47.25 in² = (3.5 in)(3.5 in + 2h) . . . . use the given values for A, s
13.5 in = 3.5 in + 2h . . . . . . . . . . . divide by 3.5 in
10 in = 2h . . . . . . . . . . . . . . . . . subtract 3.5 in
5 in = h . . . . . . . . . . . . . . . . divide by 2
The slant height of the pyramid is 5 inches.
Estimate the weight of the chips in the bag.
Answer:
Kale, 1 carrots, 4 sweet potatoes, 3, beets, 2
Step-by-step explanation:
um just round
P.S. Iready sucks
Answer:
Kale ; 1(oz)
Carrots; 4(oz)
Sweet Potatoes; 4(oz)
Beets; 2(oz)
Step-by-step explanation:
When rounding anything that is equal to or greater than 5 rounds up, anything that is less than 5 rounds down.Round to the nearest whole ounceVegetable | Weight(oz)Kale \ 1.35 ⇒ 1(oz)
Carrots \ 3.50 ⇒ 4(oz)
Sweet potatoes \ 3.81 ⇒ 4(oz)
Beets \ 2.29 ⇒ 2(oz)
3. A man stands 200 ft to the left of where a car starts moving north. The car is
moving at 50ft/sec. (a) Find the rate at which the diagonal distance from the man
to the car is changing once the car has been traveling for 10 seconds. (b) Find the
rate at which the angle from the man to the car is changing at the same moment
(10 seconds after the car starts moving). Round answers to 4 decimal places.
200 ft
car (moving at 50 ft/sec)
O
The length of the diagonal will be 538.5 ft. Then the rate at which the angle from the man to the car is changing at the same moment will be 46.43 ft/s.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
A man stands 200 ft to the left of where a car starts moving north. The car is moving at 50ft/sec.
The rate at which the diagonal distance from the man to the car is changing once the car has been traveling for 10 seconds. Then the length of the diagonal will be
L² = x² + y²
L² = 200² + (50 × 10)²
L² = 40000 + 250000
L² = 290000
L = 538.50 ft
Then the rate at which the angle from the man to the car is changing at the same moment will be
L² = x² + y²
Differentiate with respect to time, then we have
2L (dL/dt) = 0 + 2y (dy/dt)
2(538.5) (dL/dt) = 2 (500) (50)
dL/dt = 46.43 ft/sec
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a roll of netting measures r metres.ryan bought 1/4 of a roll and trimmed 2 metres of the netting.he had 5 meters of netting left.how long was the original role of the netting before Ryan bought it
Answer:
28 m
Step-by-step explanation:
full roll length: r
Ryan bought: r/4
He trimmed 2 m: r/4 - 2
Length left: 5
r/4 - 2 = 5
r/4 = 7
r = 28
Answer: 28 m
*PLSSSS HELP WILL GIVE 30 POINTS I'M DESPERATE*
What type of number is -6?
Select *ALL* correct answers
_integer _irrational
_rational _whole
_natural _real
Answer:
rational real whole
Step-by-step explanation:
The triangles shown below must be congruent.
true...
cus their angles are same... if you rotate the second triangle once to the left side
hope it helps...!!!
4 Suppose AABC = AXYZ. Which
coordinates are a possible location
of Z?
у
у
7
7
6
6
5
5
4
3
С
4
3
2
2
Х
Y
1
1
A
B
0 1 2 3 4 5 6
0 1 2 3 4 5 6
J (4,4)
K (4,2)
L (3, 4)
M (3, 3)
M 3,3
Step-by-step explanation:
the coordinates are in the y 3
PLEASE HELP ME! I WILL MARK THE BRAINLEIST
Answer:
Part B:3/6 should be your answer answer:)!
Part C:The side length is 4 feet 6 inches, it is a rational number because both numbers can be showed as a fraction.
Step-by-step explanation:
Mrs. norris is assigning the line up of the trumpet players in the parade. tell whether the events are dependent or independent. explain your answer.
event a: kadonna is chosen to be the first trumpet player in line
event b: jerome is chosen to be the second trumpet player in line
a: the choice of the first trumpeter does not affect the choice of the second, so the events are independent.
b: the choice of the first trumpeter does not affect the choice of the second, so the events are dependent.
c: the person chosen to be first cannot also be second, so the events are independent.
d: the person chosen to be first cannot also be second, so the events are dependent
The event A is an independent event while the event B is a dependent event.
How to find dependent or independent events?
An independent event is one that is not affected by the occurrence of other events while a dependent event is one that is affected by the occurrence of another event.
Event A is an independent event because the first player does not have to wait for any player before he plays.
However, event B is a dependent event as Jerome has to wait for for the first player to play before he can play.
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What is the volume of a sphere with a radius of 39.6 m, rounded to the nearest tenth of a cubic meter?
The volume of a sphere with a radius of 39.6 m, rounded to the nearest tenth is 341416.9 cubic meters
The volume of a sphere can be calculated using the formula V = (4/3)πr³, where V is the volume, π is a constant with a value of approximately 3.14, and r is the radius of the sphere.
To find the volume of a sphere with a radius of 39.6 m, we can substitute this value into the formula and simplify:
V = (4/3)πr³
V = (4/3)π(39.6)³
V ≈ 341416.8 cubic meters
Since the question asks us to round to the nearest tenth of a cubic meter, we look at the digit in the hundredth place, which is 6 in this case. Since 6 is greater than or equal to 5, we round up the digit in the tenths place, which is 8. Therefore, the volume of the sphere rounded to the nearest tenth of a cubic meter is:
V ≈ 341416.8 cubic meters ≈ 341416.9 cubic meters
In summary, to find the volume of a sphere, we use the formula V = (4/3)πr³, where V is the volume, π is a constant, and r is the radius. We can then round the answer to the nearest tenth of a cubic meter by looking at the digit in the hundredth place and rounding up if the digit in the tenths place is 5 or greater.
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write a quadratic equation whose roots are -3 and 1/2
Answer:
See below
Step-by-step explanation:
Use the roots given to make this :
(x+3) (x-1/2) = 0
you can do the multiplication (if required) to get
x^2 + 2.5x - 1.5 = 0 now you can multiply by 2 to get rid of the decimals
2x^2 + 5x - 3 = 0
All three are correct......pick the format you want ....
A cube has a volume of 1000 cubic feet. what is the length of an edge of the cube? show how you found the answer. please help
volume = (side length)³
Alternatively we could say that;
Side length = ∛volume
(we have just found the cube root of both sides here, remember we can do what we like to an equation, as long as we do the same to both sides!)
Because we cubed side length to get volume, side length must be the cubic root of the volume, the ∛.
We know that the volume is 1000 cubic feet, so;
Side length = ∛1000
∛1000 = 10
So the length of an edge of the cube is 10 feet.
Help-
This is due today
x - 8 > -4 graph the solution
Answer:
hope this helps!:)
Pete is 14 and his grandfather is 54. How many years
ago was his grandfather 6 times as old as Pete?
Answer:
6 years ago
Step-by-step explanation:
[tex]6(14-x)=54-x\\84-6x=54-x\\30-6x=-x\\30=5x\\6=x[/tex]
So, Pete's grandfather was 6 times as old as Pete 6 years ago. This means that when Pete was 8 years old, his grandfather was 48 years old.
I am very confused about this but only need the answer.
Please Help
Answer:
C
Step-by-step explanation:
The radius of circle 2 is bigger than circle one, so the diameter will be bigger too.
The circumference of the circle 1 is less than the circumference of the circle 2.
What is circumference?Circumference is "a distance around the circle".
According to the question,
The area of the circle 1 is 6π and the area of the circle 2 is 7π.
Area of the circle = π.r²
Radius of the circle 1 is less than the radius of the circle 2 this implies diameter of the circle 2 is greater than diameter of the circle 1.
Hence, the circumference of the circle 1 is less than the circumference of the circle 2.
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HELP I DONT GET THIS AND ITS DUE IN AN HOUR! PLEASE SHOW YOUR WORK IN PART B BECAUSE I DONT KNOW WHAT TO DO! I’LL GIVE BRAINLIEST AND 20 POINTS!!
Last year’s winner set a school record by completing 37 sit-ups. Amelia wants to know how many weeks she will need to train to beat this record.
Part A
Why is Amelia’s goal of breaking the school record best described by an inequality? Explain.
Part B
Write the inequality and graph the solution. How many weeks of training
will it take for Amelia to beat the record? Show your work.
An inequality is used to show two values that are different and to show that the two values are unequal.
What is an Inequality?This refers to the mathematical relation that is used to show the comparison between two numbers that are unequal.
We can note that because there is a previous record, for a person to beat the record, he would have to perform better than the record and be faster than the previous record holder.
Therefore, if a record of Amelia was given, this would be used to find the relation between her record and the current record of 37 sit-ups and how many weeks of training would be needed to break the record.
Hence, we can see that the question is incomplete so I gave you a general overview to help you get a better understanding.
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thera are 672 eggs in 6 identical boxes
a. How many eggs are in each box?
b. many eggs are edible if half of the eggs are bad?
Answer:
112 are in each box
336 are edible
Step-by-step explanation:
672÷6= 112
672÷2= 336
is 1.010010001 rational
Answer:
Yes, 1.010010001 is rational
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Answer:
yes, 1.010010001 is rationalStep-by-step explanation:
A rational number has the form p q, where p and q are integers, q* 0 otherwise it is an irrational number.
find the surface area of the pyramid. the surface area of the pyramid is __in squared.
Answer:
[tex]561.08in^{2}[/tex]
Step-by-step explanation:
[tex]S A = lw + l[/tex] [tex]\sqrt{(\frac{w}{2})^{2} + h^{2} } + w[/tex] [tex]\sqrt{(\frac{l}{2})^{2} + h^{2} }[/tex]
[tex]SA = 14(14) + 14 \sqrt{(\frac{14}{2})^{2} + 11^{2} }+ 14 \sqrt{(\frac{14}{2})^{2} + 11^{2} } = 561.08in^{2}[/tex]
Find the volume of cone pictured below. Use 3.14 for π. Round your answer to the nearest hundredth.
The volume of the cone is
cubic yards.
Answer:
133.97 cu yds
Step-by-step explanation:
volume is 1/3 x pi x r^2 x h
A quadrilateral has diagonals which are perpendicular to one another. What is the most we can determine about what kind of quadrilateral this is?
Step-by-step explanation:
a rhombus.
all 4 sides are of equal length.
Select Yes or No to state whether each data set is likely to be normally distributed.
the age of people entering a super store
(Yes or no)
the heights of people entering a super store
(Yes or no)
the number of 8 oz glasses of milk in 1 gallon
(Yes or no)
the gallons of milk sold at the super store in one week
(Yes or no)
The age of people entering a super store is likely to be normally distributed.
The heights of people entering a super store is likely to be normally distributed.
The number of 8 oz glasses of milk in 1 gallon is not likely to be normally distributed.
The gallons of milk sold at the super store in one week is likely to be normally distributed.
What is normal distribution?
A normal distribution is a probability distribution that is symmetric around the mean of the distribution. When depicted on a graph, a normal distribution is bell-shaped.
People of all ages and heights would enter a superstore. Thus, the distribution is likely to be normal. The 8 oz glasses of milk in 1 gallon is a constant amount. Thus, the distribution is not likely to be normal.
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Circle K has a radius of 8 inches. Diameter AKC is drawn and point F is located on the circle such that
FC = 6. Which of the following is closest to the length of FA?
(1) 5.3
(2) 8.7
(3) 12.4
(4) 14.8
If Circle K has a radius of 8 inches. The figure that is closest to the length of FA is: 14.8.
LengthMAC=1/2×360°=180°
mΔAFC=1/2×180°=90°
Circumference angle theorem
AK=8
AC=2
AK=16
Pythagorean theorem
FA²+FC²=AC²
Substitution
FA²+6²=16²
FA²+36=256
FA²=√220
FA=14.8
Therefore the figure that is closest to the length of FA is: 14.8.
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Alfred is building a slide for a new park. He wants the height of the slide to be 8 feet, and he wants the horizontal distance along the ground to measure 10 feet.
After building the slide, Alfred decides the slide needs a vertical safety support and wants to use a 4-foot piece of wood to build the support. How far from the point where the base of the slide meets the ground should Alfred place the vertical support?
A: 20 Feet
B: 1.3 Feet
C: 5 Feet
D: 4 Feet
Answer:
5ft
Step-by-step explanation:
8/10=0.8
4/0.8=5
Carl is wrapping present in the box shown. How much wrapping paper doe she need not including overlap
Answer:
164 [tex]in^{2}[/tex]
Step-by-step explanation:
We find the areas of all the faces
30 [tex]in^{2}[/tex]
30[tex]in^{2}[/tex]
40[tex]in^{2}[/tex]
40[tex]in^{2}[/tex]
12[tex]in^{2}[/tex]
12[tex]in^{2}[/tex]
add them all up to get 164[tex]in^{2}[/tex]
:)
h(t) = t² – 2t
Evaluate h (x + 2)
Need help I’m reviewing for a final (will leave good review)
Answer:
h(x + 2) = x² + 2x
Step-by-step explanation:
The base function is :
⇒ h(t) = t² -- 2t
⇒ h(t) = t (t - 2)
Substitute x + 2 in place of t :
⇒ h(x + 2) = (x + 2) (x + 2 - 2)
⇒ h(x + 2) = (x + 2)(x)
⇒ h(x + 2) = x² + 2x
[tex]h(t) = t^2 -2t\\\\h(x+2) = (x+2)^2 - 2(x+2)\\\\~~~~~~~~~~~~=x^2 +4x + 4 -2x -4\\\\~~~~~~~~~~~~=x^2 +2x[/tex]
a girl saved $13.50 in 6 weeks. at that rate, how long will it take to save $108?
Answer:
48 weeks to save $108
Step-by-step explanation:
$13.50 = 6 weeks so dividing both sides by 6 would find out how much each week
$13.50 / 6 = 6 / 6 weeks
$2.25 = per week
so $2.25 times _____ = $108
2.25x = 108 divided both side by 2.25 to get x alone
x is defined by the number of weeks
2.25x / 2.25 = 108 / 2.25
x = 48 $2.25 times 48 = $108
Find the area of the kite by summing the areas of the triangles that make it.
answer = 70
top triangle
1/2 times 5 times 5 = 12.5
12.5 times 2 = 25
bottom
14 - 5 = 9
1/2 times 5 × 9 = 22.5
22.5 times 2 = 45
45 + 25 = 70
The area of the kite is [tex]70in^2[/tex]
How do you find the area of a kite and what is the formulaThe area of a kite measures the space inside the four sides. The most common way to find the area is by using the formula A = xy/2, where x and y are the lengths of the diagonals.
Given;
[tex]10_{14}=140[/tex] ÷ [tex]2=70[/tex]
[tex]70_2=140[/tex]
Therfore, the area of the kite is [tex]70in^2[/tex]
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FInd the measure of angle 1.
Answer:
48 degrees.
Step-by-step explanation:
Adjacent angles add up to 180 degrees. 132 degrees and angle 1 should add up to 180 when added together.
132+angle 1 =180
angle 1=180-132
angle 1=48 degrees
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textsf{According to given question, lines k and l are parallel to each other } [/tex]~
[tex] \textsf{and we can clearly observe that} [/tex][tex] \sf{ \angle 1} [/tex][tex] \textsf{forms Co- interior angle pair with 132° } [/tex]
[tex] \textsf{[ sum of co - interior angle pair = 180° ] } [/tex]
[tex]\qquad \sf \dashrightarrow \: \angle1 + 132 = 180[/tex]
[tex]\qquad \sf \dashrightarrow \: \angle1 = 180 - 132[/tex]
[tex]\qquad \sf \dashrightarrow \: \angle1 =48 \degree[/tex]
[tex] \texttt{So, the correct choice is C} [/tex]
