Answers
Answer:
8.25cm²
Step-by-step explanation:
the area of the triangle = (half x base x height )=
(1.5x3)÷2= 2.25cm²
the area of the rectangle= length x width = 3x2= 6cm²
total = 2.25+6= 8.25cm²
Related Questions
Determine how to translate triangle A'B'C' back to triangle ABC. *
T<2,-5>
T<-2,-9>
T<2,-9>
T<5,2>
Answers
Answer:
Option 3
Step-by-step explanation:
From the graph attached,
Coordinates of point A → (6, -2)
Coordinates of point A' → (4, 7)
Let the point A' is shifted by 'h' units horizontally and 'k' units vertically,
Rule that defines the translation,
A'(x, y) → A(x + h, y + k)
By this rule,
A'(4, 7) → A(4 + h, y + 7)
Since, coordinates of point A are (6, -2),
Therefore, (4 + h) = 6
h = 2
And y + 7 = -2
y = -9
Therefore, Rule of the translation will be,
[tex]T_{(2, -9)}[/tex]
Option 3 will be the answer.
Simplify (2x+5y)(3x-8y)
Answers
Answer: = [tex]6x^{2}[/tex] − xy − [tex]40y^{2}[/tex]
Step-by-step explanation:
{Apply\:FOIL\:method}:\quad
\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd
a=2x,\:b=5y,\:c=3x,\:d=-8y
{Apply\:minus-plus\:rules}
+\left(-a\right)=-a
=2\cdot \:3xx-2\cdot \:8xy+5\cdot \:3xy-5\cdot \:8yy
Simplify 2 · 3xx − 2 · 8xy + 5 · 3xy − 5 · 8yy: 6x − xy − 40y
2 2
= [tex]6x^{2}[/tex] − xy − [tex]40y^{2}[/tex]
Hope This Helps!
Who is restaurant had a higher Q1?
Answers
Answer: Sophie's
Step-by-step explanation:
Q1 is the second point.
PLLLLLZZZ HELP ME
A restaurant needs a block of ice that is exactly 480 cubic inches in volume.
The height of the ice block must be 10 inches.
Part A
What does the area of the base of the ice block need to be for the
given volume and height? Enter your answer in the box.
Answers
Answer:
Part A: 48in^2
Part B: 4in by 12in, 8in by 6in, and 3in by 16in
Step-by-step explanation:
Volume/height is the area of the base:
480/10 = 48in^2
Any two numbers that multiply to 48 are possible dimensions of the block:
4*12, 8*6, 3*16
Let U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50} A = {5, 10, 15, 20, 25} B = {25, 30, 35, 40, 45} C = {10, 20, 30, 40, 50} Find A∪B
Answers
Answer:
A∪B = {5, 10, 15, 20, 25, 30, 35, 40, 45}
Step-by-step explanation:
A = {5, 10, 15, 20, 25}
B = {25, 30, 35, 40, 45}
Find A∪B
There are 5 elements in set A
There are 5 elements in set B
A∪B is the combination of all the elements in set A and set B without repeating any
A∪B = {5, 10, 15, 20, 25, 30, 35, 40, 45}
A∪B has 9 elements in it
A ⋂ B = {25}
Find the measure of the indicated angle. Need help please.
I need explanation
Answers
Answer:
BC =21.03540021
Step-by-step explanation:
We know the measure of angle B since the sum of the angles of a triangle add to 180
A + B+ C = 180
61+ B + 12 =180
B = 180 - 12 -61
B =107
Then we can use the law of sines to find BC
sin B sin A
-------- = -------------
AC BC
sin 107 sin 61
-------- = -------------
23 BC
Using cross products
BC sin 107 = 23 sin 61
BC = 23 sin 61/ sin 107
BC =21.03540021
Answer:
20.12m
Step-by-step explanation:
180 - (12 + 61) = 107° = ∡B
[tex]\frac{23}{sin(107)} = \frac{a}{sin(61)}[/tex] *Cross Multiply*
[tex]a(sin(107)) = 23(sin(61))[/tex] *Divide by sin(107)*
[tex]a = \frac{23(sin(61))}{sin(107)}[/tex] *Solve*
a = BC ≈ 20.12m
Help me explain this question
Answers
Does there seem to be a pattern in the population estimates of the bugs on this tree is the query or the question .
what is variation ?Variation is the difference in an individual's genetic make-up that causes a population's members to have different physical characteristics. Variation can be shown in an individual's physical characteristics, fertility, metabolism, and method of reproduction. A variation is a relationship between a set of values for one variable and another set of values. direct change. If m is a nonzero constant and b = 0, the function y = mx (commonly written y = kx) that results from the equation y = mx + b is known as a direct variation.
given
the population of the bugs
b is the no. of bugs = 50 . [tex]3^{t}[/tex]
t is the no. of weeks they first counted
so this question explains
the range of population estimates
Is there a trend in the variation of estimates
Does there seem to be a pattern in the population estimates of the bugs on this tree is the query or the question .
To know more about variation visit :-
https://brainly.com/question/13977805
#SPJ1
What is the surface area
of the square pyramid?
9 in
6 in
Answers
Answer:The Surface Area of Pyramid is 105 cm².
Step-by-step explanation:
What is Surface Area of Pyramid?
If “P” is the base perimeter, “l” is the slant height, and “B” is the base area, then the total surface area of the regular pyramid formula is given by (½)Pl + B Square units.
Given:
slant height, l= 8 cm
So, the base Perimeter = 4 x 5
= 20 cm
Now, area of the base = 5 cm x 5 cm
= 25 cm²
Then, surface area of a square pyramid
= 1/2 x slant height x base perimeter + area of base
= 1/2 x 8 x 20 + 25
= 80 + 25
= 105 cm²
If there are 30 adults at a party and 21 kids at a party what is the fraction of adults at the party
Answers
Answer:
i think its 70 percent maybe
Answer:
72 fraction if polygon are expectations but when you divide it it will sepetate to 70 and add the 2 angles so it would be (72)
Step-by-step explanation:
HOPE IT HELPS!!
In order to summarize qualitative data, a useful tool is a____________.
A) histogram
B) stem-and-leaf diagram
C) scattergram
D) frequency distribution
Answers
A (A) histogram is a useful tool for condensing qualitative data.
What is a histogram?An effective tool for summarizing qualitative data is a histogram.
The distribution of numerical data is roughly depicted by a histogram.
Karl Pearson was the person who first coined the phrase.
The first stage in creating a histogram is to "bin" (or "bucket") the range of values, divide it into a series of intervals, and then count the number of values that fall into each interval.
The bins are often defined as a series of discrete intervals that don't overlap.
The bins (intervals) must be close together and frequently, though not always, have the same size.
Therefore, a (A) histogram is a useful tool for condensing qualitative data.
Know more about a histogram here:
https://brainly.com/question/2962546
#SPJ4
What is the first side?
Answers
Explanation:
The ASA indicates that the side (S) is between the two angles (A). The order is important. For the bottom triangle, the side between the red angles is segment ST. The upper triangle has the segment UX between the red angles. If we know that ST = UX, then we can use the ASA rule to prove the triangles are congruent.
Side note: ST = UX is the same as UX = ST. Furthermore, ST is the same as TS, and UX is the same as XU. So there are a few ways to fill in that blank.
Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theorem?
StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction and angle S is-congruent-to angle U
StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction = StartFraction R T Over V T EndFraction
StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction and angle S is-congruent-to angle U
StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction = StartFraction R T Over V T EndFraction
Answers
The required statement is RS/VU = ST/UT and angle S is congruent-to angle U. Option A is correct.
What are Similar triangles?Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.
The figure of the triangle is not given the quesiton, An figure is attached after the solution regarding the solution,
From diagram,
Consider the triangle RST and triangle VUT
ST/UT = 2
∠S = ∠U both are of 90°
RS/VU = 2.
So, triangles are similar by the SAS similarity theorem.
Thus, the required statement is RS/VU = ST/UT and angle S is congruent-to angle U. Option A is correct.
Learn more about similar triangles here:
brainly.com/question/25882965
#SPJ1
Solve the equation 2^x=1/32•x=
Answers
Answer:
2^x=1
x=0
32•x=0
32.0=0
maybe
Find the value of x in the following equation:
3.5(5x + 4) = 17.5x + 14
No solution
Infinite solutions
x = 0
x = 1.3
Answers
The system of equations .5(5x + 4) = 17.5x + 14 have Infinite solutions.
What are simultaneous equations?We know two simultaneous equations have a unique solution when they intersect at a point,
when they are parallel they have no solution and when they are coinciding they have an infinite no. of solutions.
Given, A system of equation 3.5(5x + 4) = 17.5x + 14.
17.5x + 14 = 17.5x + 14.
As the LSH and RHS are equal the equation of the two lines is the same and hence they coincide and have an infinite number of solutions.
learn more about the system of equations here :
https://brainly.com/question/24065247
#SPJ1
A window is to be built in the shape of a rectangle surmounted by an isosceles
triangle. The area of the window must be 6m2. Use Lagrange Multipliers to find
the width and height of the rectangle for which the perimeter of the window will be
as small as possible. (Clarications: (1) A rectangle surmounted by a triangle has
the shape of a stick drawing of a house as might be drawn by a child, a rectangle
with a triangle on top. (2) The window's perimeter is made up of three sides of
the rectangle and the two equal length sides of the triangle. Draw a diagram! (3)
This may require some industrial strength algebra!)
Answers
The width and height of the rectangle for which the perimeter of the window will be as small as possible are (3sqrt(2), 2sqrt(2)).
What is the Lagrange multiplier?
The Lagrange multiplier, λ, measures the increase in the objective function (f(x, y) that is obtained through a marginal relaxation in the constraint (an increase in k). For this reason, the Lagrange multiplier is often termed a shadow price.
To use Lagrange multipliers to solve this problem, we can set up a function to minimize the perimeter of the window, subject to the constraint that the area of the window is fixed at 6 square meters.
Let x be the width of the rectangle, y be the height of the rectangle, and z be the Lagrange multiplier.
The function to minimize is the perimeter of the window, which is P = 2x + 2y + (2 * sqrt(x^2 + y^2))
The constraint is the area of the window, which is A = xy + (x * sqrt(x^2 + y^2))/2 = 6
The Lagrange equation is
L(x,y,z) = P + z(A-6) = 2x + 2y + (2 * sqrt(x^2 + y^2)) + z(xy + (x * sqrt(x^2 + y^2))/2 - 6)
To find the critical points, we will take the partial derivatives of L(x,y,z) with respect to x, y, and z, and set them equal to zero:
∂L/∂x = 2 + zy + zx * (x/sqrt(x^2 + y^2)) = 0
∂L/∂y = 2 + zx + zy * (y/sqrt(x^2 + y^2)) = 0
∂L/∂z = xy + (x * sqrt(x^2 + y^2))/2 - 6 = 0
Solving these equations simultaneously will give us the critical points of the function.
We will get two critical points (x,y) = (3sqrt(2), 2sqrt(2)), (0,2sqrt(2))
We should eliminate the point where x=0 as it does not fulfill the condition of the problem ( the width should be greater than 0)
Hence, the width and height of the rectangle for which the perimeter of the window will be as small as possible are (3sqrt(2), 2sqrt(2)).
To learn more about the Lagrange multiplier visit,
https://brainly.com/question/17227640
#SPJ4
solve 2x+4y=4 -2x+y=-4 using substitution 
Answers
According to the solving by using substitution method the x and y are x = 6/5 and y = -8/5 respectively.
What is a method of substitution?The algebraic approach to solving simultaneous linear equations is known as substitution method. The value of one variable through one equation is substituted in the second equation in this procedure, as the name implies.
According to the given information:given equations are 2x+4y = 4 and -2x+ y = -4
Now, simplifying -2x+y = -4
-2x+y = -4
∴ y = -4 + 2x
i.e. y = 2x - 4
By substitution method,
y = 2x - 4 in other given equation 2x+4y = 4,
2x+4y = 4
2x+4(2x - 4) = 4
∴ 2x + 8x - 8 = 4
∴ 10x = 4 + 8
∴10x = 12
∴ x = 12/10
∴ x = 6/5
Now ,
substituting x = 6/5 in y = 2x - 4,
y = 2(6/5) - 4
∴ y = - 8/5
∴ x = 6/5 & y = - 8/5.
To learn more about substitution method click:
brainly.com/question/26094713
#SPJ1
5x + y = 27
- 10x + 7y = -36 what is the x-coordinate
Answers
Answer:
For 5x + y = 27; [tex]x=\frac{-1}{5}y+\frac{27}{5}[/tex]
For -10x + 7y = -36; [tex]x=\frac{7}{10}y+\frac{18}{5}[/tex]
Step-by-step explanation:
None because it will be in the screenshots.
Mark me brainliest if you can when someone else answers, if not then it's alright. Have a good day! :D
9514 1404 393
Answer:
x = 5
Step-by-step explanation:
The x-coordinate of the solution can be found by subtracting the second equation from 7 times the first.
7(5x +7) -(-10x +7y) = 7(27) -(-36)
45x = 225 . . . . . simplify
x = 5 . . . . . . . . . . divide by 45
The x-coordinate of the solution is 5.
_____
The y-coordinate is 2.
Which is the dependent and which is independent please no links will give brainliest
Answers
dependent is # of feet
In a single experiment, a die is tossed and a spinner with the letters A, B, and C is spun. Each letter is equally likely.Draw your sample space and then find the probability of getting a 2 or a B.a.The sample space is 9. The probability of getting a B is StartFraction 1 Over 9 EndFraction.b.The sample space is 18. The probability of getting a 2 or a B is StartFraction 18 Over 8 EndFraction
Answers
The required probability as calculated from the data given above is found to be as 1 / 9.
Given,
The spinner is having the letters as A, B and C.
The possibility of getting any of these letters when the spinner is rolled is same.
Therefore , the sample space will be as follows ,
6 + 3 = 9
This is due to the fact a die has 6 sides.
Then the probability of getting a B will be , 1/9
Sample space is known as the collection of all values which are used in an experiments. The total number of favorable outcomes are taken from this sample space only.
To learn more about probability
brainly.com/question/25870256
#SPJ4
b. The original amount on the gift card was $200. Does Arleen have
enough left on the card to buy a
wheelbarrow for $50? Explain.
Answers
Answer:
Yes
Step-by-step explanation:
If there was 200 hundred dollars just subtract 50 dollars if there is still money then yes.
Answer: yes
Step-by-step explanation:
200-50=159
solve the inequality and explain how
thank you :)
Answers
Answer:
the answer is A
[tex]x + 7 > 3[/tex]
Given the triangle, find the perimeter.
7x-4
3x² + 7x -1
5x²
Answers
Answer:
[tex]\text{Perimeter}=8x^2+14x-5[/tex]
Step-by-step explanation:
[tex]\text{Perimeter}=(7x-4)+(3x^2+7x-1)+(5x^2)\\\text{Perimeter}=7x-4+3x^2+7x-1+5x^2\\\text{Perimeter}=5x^2+3x^2+7x+7x-4-1\\\text{Perimeter}=8x^2+14x-5[/tex]
Find the first step for solving the system by substitution.... X = 4y - 1
and 9x - 5y = -22
Answers
Step 1: 9(4y-1)-5y=-22
estimate the product of 5,398 x 47 by rounding to the nearest thousand and ten.
a) 200,000
b)250,000
c)253,706
d)300,000
pls help me
Answers
Answer:
b) 250,000
Step-by-step explanation:
You want to estimate the product of 5,398 and 47 by rounding to the nearest thousand and ten.
Rounded valuesRounding 5,398 to the nearest thousand gives 5000.
Rounding 47 to the nearest ten gives 50.
Estimated productThe product of these is the estimate you want:
5000·50 = 250,000
which pair of triangles? multiple choice
Answers
Answer:
c
Step-by-step explanation:
/l/b/a×4÷6×0rrrt he 3rjdhdyeeyy3gfwgqrt
Elizabeth has a box that can hold exactly 24 unit cubes. It could also be said that her box has
A. An area of 12 cubic units, and its sides could measure 12 units and 2 units
B. An area of 24 cubic units, and its sides could measure 2 units, 3 units, and 4 units
O C. A volume of 12 cubic units, and its sides could measure 12 units and 2 units
D. A volume of 24 cubic units, and its sides could measure 2 units, 3 units, and 4 unit
Answers
Elizabeth has a box that can hold exactly 24 unit cubes. It could also be said that her box has 24 cubic units. So, option D. is correct.
What are cubic units?A cubic unit is a unit of measurement for volume. It represents the amount of space an object occupies in three dimensions: Length, Width and Height. It is often used to measure the volume of three-dimensional shapes such as cubes, square prisms, cylinders, and spheres. Cubic units are most commonly measured in cubic meters or cubic feet, but they can also be expressed in smaller units such as cubic centimeters or cubic inches.
The total volume of the box is 24 cubic units. A side of the box may measure 2 units x 3 units x 4 units = 24 cubic units.
Choice A is incorrect. This is because the area of a shape is a measure of the two-dimensional space it occupies, and the volume of a shape is a measure of the three-dimensional space it occupies.
Choice B is incorrect. This is because the area of a shape is a measurement of the two-dimensional space it occupies, not its volume.
Option C is incorrect because it states that the box has a volume of 12 cubic units, but it is not because the volume he has is 24 cubic units.
To know more about cubic units visit:
https://brainly.com/question/29275354
#SPJ4
ES = ___ units
Round your answer to the nearest tenth.
Answers
Answer:
15
Step-by-step explanation:
please help me on this
Answers
Answer:
80mm
Step-by-step explanation:
According to Pythagorean theorem :
a² + b² = c²
=> a² + (60)² = (100)²
=> a² + 3600 = 10000
=> a² = 10000 - 3600
=> a² = 6400
=> a = √(6400)
=> a = 80
I HOPE THIS ANSWER HELPS ヾ(＾-＾)ノA pole that is 3.2 m tall casts a shadow that is 1.32 m long. At the same , a nearby tower casts a shadow that is 46.75 m long. How tall is the tower? Round your answer to the nearest meter.
Answers
Answer:
The tower is 113 meters.
Step-by-step explanation:
We are given a pole and a tower that both create a shadow.
Hence, the figures made are triangles.
If you draw the figure (attached to this response), you can see the two triangles are similar triangles.
⭐What are similar triangles?
two triangles whose corresponding side lengths are proportional and have the same shapeStrategycreate a proportion of the ratios of the corresponding side lengthssolve for the length of the towerCreate a ratio for the corresponding side lengthsThe length of the height of the pole (3.2) corresponds to the length of the height of the tower (x).
The length of the shadow of the pole (1.32) corresponds to the length of the shadow of the tower (46.75).
Therefore, our two ratios are:
[tex]\frac{3.2}{x}[/tex] and [tex]\frac{1.32}{46.75}[/tex]
Create a proportion for the corresponding side lengthsA proportion is when you set two ratios equal to each other:
[tex]\frac{3.2}{x} = \frac{1.32}{46.75}[/tex]
Solve for the length of the tower (x)To solve for x, cross multiply by multiplying the opposite parts of the fraction together.
[tex]\frac{3.2}{x} = \frac{1.32}{46.75}\\46.75(3.2) = 1.32x\\149.6 = 1.32x\\\\113 = x[/tex]
∴ The tower is 113 meters tall!
if this response helped you, please mark it the "brainliest" :)
Felix hasa bucket of golf bals, The table shows the number of golf balls of each color in the bucket. Golf Balls in a Bucket Color Pnk White Orange Green Number 11 8 18 (A)e Felix selects a golf ball at random. Based on the Information in the table, which statement is true? A The golf ball is more likely to be green than all other colors combined. B The golf ball is equally likely to be pink, white, orange, or green. C The golf ball is 2 times as likely to be orange as it is to be pink. D The golf ball is 7 times as likely to be green as it is to be white.
Answers
The correct statement regarding the probabilities from the table is given as follows:
C The golf ball is 2 times as likely to be orange as it is to be pink.
How to obtain a probability?A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
The total number of balls for this problem is given as follows:
4 + 11 + 8 + 18 = 41.
Hence the probability of selecting each ball is obtained as follows:
Pink: 4/41.White: 11/41.Orange: 8/41.Green: 18/41.Hence statement C is correct, as:
2 x 4/41 = 8/41.
(which is the probability of orange, obtained multiplying the probability of pink by two).
Missing InformationThe number of pink balls is of 4.
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1