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What is 3cm times 7.5cm times 12cm?
3cm x 7.5cm x 12 cm = 3 x[ 7.5( 10 + 2)]
= 3 x [75 + 15]
= 3( 90) = 270 cubic cm
\(\text{Solution: 3cm}\times7.5\operatorname{cm}\times12\operatorname{cm}=270cm^3\)Find the area of the triangle having the indicated angle and sides. (Round your answer to one decimal place.)
B 128°, a 86, c = 37
The area of the triangle with angle B = 128°, side a = 86, and side c = 37 is approximately 2302.7 square units.
To find the area of a triangle when one angle and two sides are given, we can use the formula for the area of a triangle:
Area = (1/2) * a * b * sin(C),
where a and b are the lengths of the two sides adjacent to the given angle C.
In this case, we have angle B = 128°, side a = 86, and side c = 37. To find side b, we can use the law of cosines:
c² = a² + b² - 2ab * cos(C),
where C is the angle opposite side c. Rearranging the formula, we have:
b² = a² + c² - 2ac * cos(C),
b² = 86² + 37² - 2 * 86 * 37 * cos(128°).
By substituting the given values and calculating, we find b ≈ 63.8.
Now, we can calculate the area using the formula:
Area = (1/2) * a * b * sin(C),
Area = (1/2) * 86 * 63.8 * sin(128°).
By substituting the values and calculating, we find the area of the triangle to be approximately 2302.7 square units.
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Don’t know how to solve, help ?
Step-by-step explanation:
180 - 120 = 60
32 + 60 = 92
180 - 92 = 88
helppppppppppppppppppppppppppppp
Answer:
3) Not equivalent
4) Equivalent multiply by 2
5) Equivalent multiply by 2
ABCD is a parallelogram Find the value of x.B В114°С2x + 1234АD
Explanation
A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal)
it means
\(\begin{gathered} AB=CD \\ \end{gathered}\)let
AB=2x+12
CD=34
Now, replace
\(undefined\)which rule best described the following pattern 5,6,15,16,25,26,35
harmless
....................
Answer:
(⊙_⊙;)
¯\(°_o)/¯
(°ー°〃)
Step-by-step explanation:
5.937÷10 to the 3rd=
Answer:
Step-by-step explanation:
(5.937/10)^3=0.20926719195
or
5.937/(10^3)=0.005937
Ana uses 58 beads to make a necklace. She plans to sell 36 necklaces at each craft fair she goes to this summer. She plans to go to 4 craft fairs this summer. What is the total number of beads that Ana will use to make the necklaces she plans to sell at the 4 craft fairs?
Answer:
8064Step-by-step explanation:
56 beads for each necklace,36 necklaces at each craft,4 craft fairsTotal number of beads:
56*36*4 = 8064Consigna:
Resuelve el siguiente problema:
Para comprar un juego de mesa para divertirnos en familia durante la pandemia. yo aporté un quinto (6)
del total del precio, mi hermana María aportó la sexta parte (') y mi papá aporto el resto que faltaba.
¿Qué parte del costo del del juego aportó mi papá? Si pagamos el total de $90, ¿Cuánto dinero puso
cada uno?
DATOS
GRÁFICOS O DIBUJOS OPERACIONES
RESULTADOS
Answer:
El padre pago el 63% del valor del juego, es decir, $57.
Step-by-step explanation:
Si el valor total del juego es de $90, y el redactor aportó una quinta parte del total del precio, el total aportado por él es de $18 (90 / 5 = 18). A su vez, su hermana María aportó una sexta parte del valor, es decir $15 (90 / 6 = 15). Por ende, el padre de los niños aportó $57 (90 - 18 - 15 = 57), es decir, el 63% del valor total.
20 POINTS
look at the rectangle below. the sum of the measures of the 3 interior angles of any triangle is always 180° . What is the measure of
A- 30°
B- 45°
C- 60°
D- 120°
- 4/9+7/12+- 3/8=how solve it
Answer:
-17/72
Step-by-step explanation:
-4/9 + 7/12 + (-3/8) =
We need a common denominator. The least common multiple of 9, 12, and 8 is 72.
= -4/9 * 8/8 + 7/12 * 6/6 + (-3/8) * 9/9
= -32/72 + 42/72 - 27/72
= 10/72 - 27/72
= -17/72
Answer:
Your correct answer is 17/72
-3x^2-6x+24 factor this equation by any means
Step-by-step explanation:
-3x² - 6x + 24
this is an expression, not an equation.
for an equation this would have to look like e.g.
-3x² - 6x + 24 = 0
anyway, yes, we can factor this expression :
-3x² - 6x + 24 = -3(x² + 2x - 8) = -3(x + 4)(x - 2)
why ?
x² + 2x - 8 corresponds to
(x + a)(x + b) = x² + (a+b)x + ab
so which factors a and b multiply to ab = -8 and add to (a+b) = 2 ?
-8 has the factors
4, -2
-4, 2
8, -1
-8, 1
only (4, -2) covers the both criteria.
therefore, the correct factorization is
-3(x + 4)(x - 2)
if (x-d) is a factor of p(x)= 2x^3 -dx^2+(1+d^2)x+5, what is the value of d
Answer:
3 is the answer
Step-by-step explanation:
cause if u do beldams
The value of d that makes (x - d) a factor of p(x) is d = -5.
Given that we need to find the value of d if (x-d) is a factor of the polynomial \(\mathrm{p(x)= 2x^3 -dx^2+(1-d^2)x+5}\).
If (x - d) is a factor of the polynomial \(\mathrm{p(x)= 2x^3 -dx^2+(1-d^2)x+5}\), it means that if we substitute (x = d) into the polynomial, the result should be equal to zero.
In other words, p(d) = 0.
Let's find the value of d by setting p(d) to zero and solving for d:
\(\mathrm{p(d)= 2d^3 -d\cdot d^2+(1-d^2)d+5}\)
To find d, we set p(d) equal to zero:
\(\mathrm{ 2d^3 -d\cdot d^2+(1-d^2)d+5 = 0}\)
Now, let's simplify this equation and solve for d:
0 = 2d³ - d³ - d³ + d + 5
0 = 2d³ - 2d³ + d + 5
0 = d + 5
Now, isolate d:
d = -5
So, the value of d that makes (x - d) a factor of p(x) is d = -5.
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(3)^4 x (3)^3
(3)^3 / (3)^4
(3)^4 x (3)^-3
{(3)^4} ^3
Need theses all solved !!! Helpppp
Answer:
1. 3^7 or (2187)
2. 1/3
3. 3
4. 3^12
SIDE NOTE:
I'M NOT COMPLETELY SURE IF THESE ARE CORRECT DON'T TAKES THESE FOR GRANTED.
What type of transformation is shown?
Answer:
the third one.
Step-by-step explanation:
clockwise rotation of 90*
Answer:
clockwise rotation of 90 degrees
Step-by-step explanation:
Please put me as brainliest answer :)
Prove that the bisector of the angle formed by a tangent and a chord drawn from the point of tangency divides the intercepted arc into two congruent arcs.
Answer:
Step-by-step explanation:
Use the distributive property to simplify this expression for a parentheses 4(12 + 5)
Answer:
68
Step-by-step explanation:
pls help!! i need this done by today :((
A couple plans on having three children. Suppose that the probability of any given child being female is 0.5, and also suppose that the genders of each child are independent events. a. Write out all outcomes in the sample space for the genders of the three children. b. What should be the probability associated with each outcome
3. Higher Order Thinking Kim makes a bar
graph to record votes for the choice of a
class pet. Each grid line represents 4 votes.
Fish got 8 votes. The bar for hamster is
3 grid lines higher than the bar for fish.
How many votes did hamster get?
Therefore , the solution to the given problem of unitary method comes out to be Hamster got 20 votes.
What does unitary method mean?The unit method is a way of problem-solving where you first calculate the amount of a single item, then multiple that value to get the answer. Simply expression, a single system value is extracted from a specified multiple using the unit method. For illustration, 40 pens will set you back 400 rupees, or $1.01. The method used to accomplish this might be standardized. a solitary nation. anything has a distinctive component. (Mathematics, Algebra) Its adjoint and inverse are equivalent. (Linear Algebra, Mathematical Interpretation, Mathematics of Matrix or Operators).
Here,
4 votes are represented by each grid line. then, four votes per grid.
Fish received 8 votes.
There are three more grids for hamsters than for fish.
votes per grid times the number of grids
So,
the number of fish grids is 4.
2 grids are needed for fish.
There are 3 more grids for hamsters than for fish. As a result, 2 + 3 = 5 grids for the hamster.
Grids times votes per grid divide the total number of ballots.
As a result, there are 20 votes or hamsters (5 x 4).
Hamster has 20 votes as a result.
Therefore , the solution to the given problem of unitary method comes out to be Hamster got 20 votes.
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does y = -5x represent a proportional relationship?
Answer: No
Step-by-step explanation: A proportional relationship can be described by an equation of the form y = kx, where k is a number called the constant of proportionality.
Which function could produce the graph shown below?
dnesda
-4
+3
+2
5
10
15
20
25
30
35
Exponential function given in Option (C). f(x) = 4e⁻⁰°⁰⁵ will be the answer.
Exponential function: An exponential function is given by,
\(f(x)=ae^{bx}\)
Given in the question,
Graph of the exponential function passes through two points,(0, 4) and (27.5, 1)
For (0, 4),
\(4=ae^{b\times 0}\)
\(a=4\)
For (27.5, 1)
\(1=4(e)^{27.5\times b}\)
\(e^{27.5b}=0.25\)
\(\text{ln}e^{27.5b}=\text{ln}(0.25)\)
27.5b = -1.3863
b = -0.05
Therefore, exponential function will be → \(f(x)=4e^{-0.05x}\)
Option (C) will be the answer.
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In triangle ABC, the size of angle B is 5 times the size of angle A, and the size of angle C is 7 less than 4 times the size of angle A
Find a median and mean of the data set below 22,9,3,24,21
Answer:
Mean: 15.8
Median: 21
Step-by-step explanation:
The mean is all five numbers added together and then divided by five.
22 + 9 + 3 + 24 + 21 = 79
79 divided by 5 is 15.8.
The median is the number in the middle.
Order the numbers from least to greatest.
3, 9, 21, 22, 24.
Luckily, because there is an odd number of values, 21 is the median because it's in between 3 and 9 & 22 and 24.
Mean: 15.8.
Median: 21.
Step-by-step explanation:1. Finding the mean.a) Take the sum of al values.\(22+9+3+24+21=79\)
b) Count the amount of values.There are a total of 5 values in this sample.
c) Divide the sum of all values by the amount of given values.
\(\frac{79}{5} =15.8\)
d) Conclude.The mean of the data is 15.8.
-------------------------------------------------------------------------------------------------------
2. Finding the median.
The median is the value that sits exactly in the middle, when organizing the data in ascending or descending order.
a) Organize the data in ascending or descending order.
For this solution, we're going to organize in descending order.
24
22
21
9
3
b) Find the value that sits in the middle.
24
22
21 ----> Median
9
3
c) Conclude.The median is this sample is 21.
Important. When taking the median of a sample, you don't always end up with a single value sitting in the middle of the list, this happens when you have a sample which number of values is even (2, 4, 6, 8). Whenever this happens, simply locate the 2 values that sit in the middle of the list and calculate their average, and this will be the median of that set of values.
Please help me it is division problems
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
24 yd
30 yd
18 yd
The area is 108yd2(square yards).
In the given triangle a base
24yd and the corresponding height of 6 yds are given, so to calculate the area we can use:
A=12×b×h
If we substitute the given numbers we get:
A=\(\frac{1}{2}\)×24×18
=12×9
=108
The units of base and height are the same (yards), so the calculated area is in yd2
The area is the quantity that expresses the extent of a region on the plane or on a curved surface. the world of a plane region or plane area refers to the area of a shape or planar lamina, while area refers to the area of an open surface or the boundary of a three-dimensional object. The area is often understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the quantity of paint necessary to cover the surface with a single coat. it's the two-dimensional analog of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept).
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Simplify an expression for the perimeter of the rectangle.
Plz quick
Step-by-step explanation:
i think it should be
2(8x+3)+10
Answer:
16x+16
Step-by-step explanation:
8x+3+8x+3+5+5
16x+6+10
16x+16
Which event is considered neither likely nor unlikely?
A, Rolling a number greater than 1 on a six-sided number cube.
B, Rolling a 1 on a six-sided number cube.
C, Getting heads when flipping a coin.
D, Choosing an X,Y, or Z from a bag containing all the letters of the alphabet.
According to the information, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely.
Which event is considered neither likely nor unlikely?In probability, an event is considered likely if its probability is high, and it is considered unlikely if its probability is low. An event is considered neither likely nor unlikely if its probability is close to 0.5 or 50%. In this case we have to consider the probability of each option to establish a conclusion. Here is the analysis:
A, rolling a number greater than 1 on a six-sided number cube, has a probability of 5/6, which is greater than 0.5, so it is considered likely.B, rolling a 1 on a six-sided number cube, has a probability of 1/6, which is less than 0.5, so it is considered unlikely.C, getting heads when flipping a coin, has a probability of 1/2, which is equal to 0.5, so it is considered neither likely nor unlikely.D, choosing an X, Y, or Z from a bag containing all the letters of the alphabet, would depend on the specific contents of the bag. If the bag contains an equal number of each letter of the alphabet, the probability would be 3/26, which is less than 0.5, so it would be considered unlikely.According to the above, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely because its probability is exactly 0.5 or 50%.
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In order for you to carry a bag on the plane, it must fit inside the carry-on Baggage Check Box. The carry-on Baggage Check Box has dimensions of approximately 22 inches x 14 inches x 9 inches. Your black bag has a height of 18 inches, a depth of 12 inches and a width of 8 inches. Your blue bag has a height of 18 inches, a depth of 15 inches and a width of 10 inches.
What is the volume of the Carry-on Baggage Check Box?
22×14x9= 2772 inches3
What is the volume of the black bag?
What is the volume of the blue bag?
Which bag will definitely fit in the Check Box? Explain.
You notice these two old suitcases stacked in the closet. The smaller suitcase is 25 inches x 8 inches x 9 inches and the larger suitcase is 75 inches x 20 inches x 18 inches.
The bigger suitcase is how many times larger than the smaller suitcase? HINT: You will need to divide on this one.
You decide to use the larger suitcase to transport rectangular prism watermelons back home. The watermelons are about 720 cubic inches. If one of the watermelons is about 10 inches long and 9 inches wide, about how tall would it be? (Hint: V=LxWxH, so plug in 720=10x9xH and solve for H).
If the watermelons are about 720 cubic inches, what is the MAXIMUM amount of watermelons you’ll be able to bring home in your larger suitcase, assuming all you have in the suitcase is the watermelons. (Hint: Divide the larger suitcase volume and the volume of the watermelon).
1. The volume of the black bag is 1728 cubic inches. 2. The volume of the blue bag is 2700 cubic inches. 3. The black bag will fit in the Check Box. 4. The bigger suitcase is 27 times larger than the smaller suitcase.
What is volume?Volume, which is commonly expressed in cubic units, is the amount of space occupied by a three-dimensional object. By multiplying an object's length, breadth, and height, as well as other formulas depending on the shape of the object, one can get the volume of the thing. Volume is a key concept in many practical applications, including calculating container capacity, constructing structures, and estimating the amount of material required for a construction project. Volume is utilised in many branches of mathematics, science, and engineering.
For the given dimensions of the bags we have:
1. The volume of the black bag is:
18 x 12 x 8 = 1728 cubic inches
2. The volume of the blue bag is:
18 x 15 x 10 = 2700 cubic inches
3. The black bag will definitely fit in the Check Box because its volume of 1728 cubic inches is less than the volume of the Check Box, which is 2772 cubic inches.
4. The ratio of bigger suitcase to smaller suitcase is:
75 x 20 x 18 = 27000 cubic inches
25 x 8 x 9 = 1800 cubic inches
27000 / 1800 = 27
The bigger suitcase is 27 times larger than the smaller suitcase.
5. Now, if the watermelons is about 10 inches long and 9 inches wide, then its height would be:
720 = 10 x 9 x H
720 = 90H
H = 8 inches
The maximum amount of watermelons that can fit are:
27000 / 720 = 37.5 watermelons = 37 watermelons.
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