The answer is actually CORRECT.
The correct procedure is when two negatives multiply each other, the answer is always a positive.
Therefore;
\(\begin{gathered} -27\times(-18)=27\times18 \\ 27\times18=486 \end{gathered}\)We can conclude that the correct answer is 486
Angle TLN equals (3X -18)°, angle MZQ equals (5X +14)° and
For the given figure, x = 23° and y = 129°
Parallel lines:
Parallel lines are lines that always stay the same distance apart and never meet.
Transversal line :
A transversal is a line that crosses two or more other lines.
given,
∠TLN = (3x - 18)°
∠MZQ = (5x + 14)°
∠NLM = y°
Now,
∠MZP + ∠MZQ = 180° (Linear Pair)
∠MZP = 180° - ∠MZQ ...........(I)
again,
∠NLM + ∠TLN =180° ...........(II) (Linear Pair)
As, ∠TLN = ∠MZP (Corresponding Angle)
(3x - 18)° = 180° - ∠MZQ
(3x - 18)° = 180° - (5x + 14)°
3x + 5x = 180° - 14° + 18°
8x = 184°
x = 184 / 8
x = 23°
From (II),
∠NLM + ∠TLN =180°
y° + 3x - 18° = 180°
y = 180 - 3x + 18
= 180 - 3* 23 + 18
= 180 - 69 +18
y = 129°
For the given figure,
x = 23° and y = 129°
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In the equation (x-3)²+(y-2)2=16, the radius of the circle is...
16
3
32
4
Step-by-step explanation:
This is of the form
(x-h)^2 + ( y-k)^2 = r^2 so r^2 = 16 means r = 4 units
NEED HELP ASAP a bag contains four green marbles,six white marbles, and ten red marbles. One marble is picked at random from the bag. What is the probability of picking a white marble?
Answer:
3/10
Step-by-step explanation:
add all the marbles together4+6+10
=20
probability of picking a white marble is6/20
=3/10
What is the volume of this composite figure?
Enter your answer in the box.
Answer:
Step-by-step explanation:
1 dolla sucke sucke
A lie-detector works correctly with 80% probability when the person is lying, and with 90% probability when the person is not. Assume that in a given court, typically 70% of the people who have to be tested with the lie-detector do not say the truth. On the long run, which percentage of time does the lie detector make a mistake?
Answer:
the time percentage is 17%
Step-by-step explanation:
The computation of the time percenatge in the case when the detector lie and done with the mistake is as follows:
L denotes the event in which a person is lying.
NL denotes the event in which a person is not lying.
C denotes the event in which that lie detector works correctly
NC denotes the event in which lie detector is not working correctly
Now
P(C|L) =0.8
And,
P(NC|L) is
=1 - .8
= 0.2
P(C|NL) =0.9
P(NC|NL) is
= 1 -.9
=.1
P(L) = 0.7
P(NL) is
= 1 - .7
= .3
Now
P(NC) =P(NC|L) × P(L) + P(NC|NL) × P(NL)
=. 2 × .7 + .1 ×.3
=. 14+.03
= 0.17
Hence, the time percentage is 17%
A rectangle has length of 10 mm. • and breadth 7mm calculate its perimeter YW
Answer:
34 mm
Step-by-step explanation:
P = 2 x (L + B) for a rectangle
P = 2 x (10 + 7) = 2 x 17 = 34
A regular pentagon is shown below. Supposethat the pentagon is rotatedcounterclockwise about its center so that thevertex at E is moved to C, how many degreesdoes that pentagon rotate?
Solution:
Given:
A regular pentagon rotated counterclockwise about its center.
To get the angle by which it rotated, we draw lines from each of the vertexes to the center to divide the pentagon into 5 equal triangles as shown;
The angle by which the pentagon is rotated through its center so that the vertex at E is moved to C is;
\(\angle EOC\)To get angle EOC, we use the property of the sum of angles at a point.
The sum of angles at a point is 360 degrees.
\(\angle AOB+\angle BOC+\angle COD+\angle DOE+\angle EOA=360^0\)
Since it is a regular polygon, each of these angles is equal.
Hence,
\(\begin{gathered} \angle AOB=\angle BOC=\angle COD=\angle DOE=\angle EOA=x \\ \angle AOB+\angle BOC+\angle COD+\angle DOE+\angle EOA=360^0 \\ x+x+x+x+x=360^0 \\ 5x=360^0 \\ \text{Dividing both sides by 5;} \\ x=\frac{360}{5} \\ x=72^0 \end{gathered}\)
Thus, the measure of angle EOC is;
\(\begin{gathered} \angle EOC=\angle COD+\angle DOE^{} \\ \angle EOC=x+x \\ \angle EOC=72+72 \\ \angle EOC=144^0 \end{gathered}\)Therefore, the angle by which the pentagon is rotated through its center so that the vertex at E is moved to C is;
\(\angle EOC=144^0\)
Convert from radians to degrees.
1/4π
1/4π radians is approximately equal to 45 degrees.
To convert a value from radians to degrees, multiply the value by 180/π. For example, to convert π/4 radians to degrees, multiply π/4 by 180/π to get 45 degrees. This conversion is useful for converting angles between the two units of measurement.
Degrees = Radians × 180/π.
Therefore, to convert 1/4π radians to degrees, we have:
Degrees = (1/4π) × (180/π) ≈ 45°
Hence, 1/4π radians is approximately equal to 45 degrees.
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Ms. Chung drives the same distance to go to work every Monday through Friday. On Saturday she drove g the distance she drives to work. The distance she drove on Saturday was 0.9 miles. Part A: In the first box, enter an equation to represent the distance, d, that Ms. Chung drives to work. Part B: In the second box, enter the distance Ms. Chung drives to work.
A) The algebraic expression will be 12d + 7 = 91
B) He drives 7 miles per day to work.
For 11 days straight, Ms. Chung drove the same distance every day going to and coming from work.
The distance she drove on Saturday was; 0.9 miles.
The number of miles she drives per day:
84 miles/12
= 7 miles per day
Let the number of miles she travels be day = d
12d + 7 = 91 miles
12d + 7 = 91
12d = 91 - 7
12d = 84
d = 84/12
d = 7 miles per day
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Which function has a greater rate of change?
the equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940. In this equation, a represents the average age and x represents the years since 1940. Estimate the year in which the average age of brides was the youngest
Answer:
Please help me important question in image
Step-by-step explanation:Please help me important question in image
Please help me important quePlease help me important question in image
stion in image
Please help me important question in image
Please help me important question in image
Answer:
The equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940 in the United States. In this equation, a represents the average age and x represents the years since 1940. To estimate the year in which the average age of brides was the youngest, we need to find the minimum value of the quadratic function a=0.003x^2+21.3. This can be done by using the formula x=-b/2a, where b is the coefficient of x and a is the coefficient of x^2. In this case, b=0 and a=0.003, so x=-0/(2*0.003)=0. This means that the average age of brides was the lowest when x=0, which corresponds to the year 1940. The value of a when x=0 is a=0.003*0^2+21.3=21.3, so the average age of brides in 1940 was 21.3 years old. This is consistent with the historical data, which shows that the median age of women at their first wedding in 1940 was 21.5 years old. The average age of brides has been increasing since then, reaching 28.6 years old in 2021.
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Landon is building new bookshelves for his bookstore's new mystery section. Each shelf can hold 36 books. There are 1,188 mystery books.
Answer:
33 bookshelves
Step-by-step explanation:
I think this question is asking how many shelves he needs, but I am unsure because the question is incomplete.
If there are 1,188 books, and each shelf can hold 36 books, we need to divide.
\(number of books\)÷\(bookspershelf\)
\(1188\)÷\(36\)=\(33\)
We need 33 bookshelves
Hope this helps :-)
How much does it cost Carol for a 60-day supply of cat food for her two cats?
Answer:
its 120
Step-by-step explanation:
60 multiply by 2 is 120
what is the area of the square if it’s 15 by 15
Answer:
225 is the answer
15 times 15
Step-by-step explanation:
The radius of a circle is multiplied by 1
4
. Which of the following describes the effect of this change on the area?
a. The area is multiplied by 1
16
.
b. The area is multiplied by 1
4
.
c. The area is multiplied by 1
8
.
d. The area is multiplied by 4
.
The area is multiplied by 1/16 and the correct option is (a) The area is multiplied by 1/16.
When the radius of a circle is multiplied by 1/4, the effect on the area can be calculated using the formula A = πr², where A is the area and r is the radius. The new radius becomes (1/4)r, so the new area can be calculated by substituting (1/4)r for r in the original formula. Simplifying this expression, we get A' = π((1/4)r)² = (1/16)πr². This shows that the area is multiplied by 1/16, so the correct answer is (a) The area is multiplied by 1/16.
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Complete question:
The radius of a circle is multiplied by 1/4. Which of the following describes the effect of this change on the area?
a. The area is multiplied by 1/16.
b. The area is multiplied by 1/4.
c. The area is multiplied by 1/8.
d. The area is multiplied by 4.
Go step by step to reduce the radical.
Square Root 200
Answer:
10 root 2
Step-by-step explanation:
root 200 = root 2 × root 100 = 10 root 2
What is X on the triangle below
Answer:
x= 45
Step-by-step explanation:
45 x 2 =45
I summed my square-side seven times and the area eleven times so that it was 6;15. What is the length of the side of my square
Answer:
1 ÷ 2
Step-by-step explanation:
Given that
The square side is seven times
And, the area is eleven times
So it is 6;15
We need to find out the length of the side of the square
So,
let us assume the side of square be S
Now the area is S^2
Now
11S^2 + 7S = 6.15
11S^2 + 7S - 6.15=0
Now the quadratic equation should be followed
= (-b+- √ (b^2-4ac)) ÷ 2a
Here a = 11,b = 7,c = -6.15
so
S = 0.4944, -1.1307
As we know that the side cant be negative so
Therefore
S = 0.4944 ≈ 0.5 = 1 ÷ 2
Can someone solve just the c problem
Applying the distributive property, the solution of x for item c is given as follows:
x = (3a - 8 - b)/(a - b).
What is the distributive property?The distributive property is when the outside term multiplies each of the inside terms of an expression.
For example, in this problem:
a(x - 3) = ax - 3a.b(x - 1) = bx - b.Hence the solution for x of the expression is found as follows:
a(x - 3) + 8 = b(x - 1).
ax - 3a + 8 = bx - b
ax - bx = 3a - 8 - b
x(a - b) = 3a - 8 - b
x = (3a - 8 - b)/(a - b).
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The mug is 5/8 full, the mug contains 3/4 of water find the capacity of the mug
The capacity of the mug is 1.2. The capacity of the mug can be found by using the equation C = (3/4) ÷ (5/8).
What is capacity?It is the maximum amount of output that can be produced in a given period of time. Capacity is usually expressed in terms of units per unit of time, such as gallons per minute or passengers per hour.
In this equation, 3/4 represents the amount of water in the mug, and 5/8 represents the amount the mug is full.
Let the capacity of the mug be x.
Given,
Mug is 5/8 full and contains 3/4 of water
So, 5/8 of the mug is filled with water
Therefore,
5/8 of x = 3/4
(5/8 )x = (3/4)
x = (3/4) × (8/5)
x = (24/20)
x = 1.2
Therefore, the capacity of the mug is 1.2.
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M
Check all that apply.
The angles that we have in the image here are:
supplementary angleright angleWhat is a supplementary angle?When two angles are measured, they sum up to 180. They are said to be supplementary angles.
On the question, we have two angles that are 90 degrees on a straight line. Hence they are supplementary.
What is a right angle
This is an angle that is at 90 degrees. We have to two right angles on the diagram that we have here.
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Write the equation in slope-intercept form
Answer:
General equation of a line:
\(y = mx + b\)
m » gradient
b » y-intercept
• considering point (-6, 12):
\(12 = ( - \frac{5}{12} \times - 6) + b \\ \\ 12 = \frac{5}{2} + b \\ \\ b = \frac{19}{2} \)
• equation:
\(2y = - \frac{5}{6} x + {19} \\ \)
Calculate the area of this triangle.
14 cm
11 cmi
18 cm
Answer: 99cm^2
Step-by-step explanation:
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\(area = \frac{1}{2} \times (height) \times (base) \\ \)
\(height = 11 \: \: cm\)
\(base = 18 \: \: cm\)
Thus :
\(area = \frac{1}{2} \times 11 \times 18 \\ \)
\(area = \frac{18}{2} \times 11 \\ \)
\(area = \frac{2 \times 9}{2} \times 11 \\ \)
\(area = 9 \times 11\)
\(area = 99 \: \: {cm}^{2} \)
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1.2 Generate a three-column table where you evaluate how learning takes place according to: • Piaget • Vygotsky • Bruner (15)
While Piaget, Vygotsky, and Bruner have different perspectives on how learning occurs, they all emphasize the active role of the learner in constructing knowledge and the importance of social interaction and cultural influences in the learning process.
Here's a three-column table evaluating how learning takes place according to Piaget, Vygotsky, and Bruner:
Theorist Approach to Learning Key Concepts
Piaget Constructivism 1. Schema: Individuals actively construct their knowledge through assimilation and accommodation, organizing information into mental structures called schemas. 2. Stages of Development: Learning occurs through cognitive development stages, from sensorimotor to formal operational, where individuals progressively acquire more complex mental abilities. 3. Active Exploration: Children learn best through hands-on exploration and interactions with the physical world.
Vygotsky Sociocultural Theory 1. Zone of Proximal Development (ZPD): Learning takes place within the gap between a learner's actual developmental level and their potential level with guidance from a more knowledgeable other. 2. Social Interaction: Learning is facilitated through social interactions with peers and adults, such as cooperative learning and scaffolding. 3. Cultural Tools: The use of language, symbols, and cultural artifacts plays a central role in cognitive development and learning.
Bruner Constructivism 1. Scaffolding: Instruction should provide support and guidance tailored to the learner's current abilities to help them progress to higher levels of understanding. 2. Discovery Learning: Learners construct knowledge by actively exploring and discovering concepts and relationships on their own. 3. Spiral Curriculum: Learning is organized in a spiral manner, revisiting key concepts and building upon previous knowledge in a progressive and interconnected way.
While Piaget, Vygotsky, and Bruner have different perspectives on how learning occurs, they all emphasize the active role of the learner in constructing knowledge and the importance of social interaction and cultural influences in the learning process.
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What is the value of the expression? Drag and drop the answer into the box to match the expression. 0.2(34−2)+0.5
A -0.25
B -0.2
C 0.2
D 0.25
E.0.4
Answer:
no answer
Step-by-step explanation:
0.2 (34-2)+0.5
0.2× 32 +0.5
6.4 +0.5
6.9
Answer:
D. 0.25
Step-by-step explanation:
I didnt really have to to step-by-step for this im so sorry if you needed that but I hope i helped <3 Brainilest?
この問題を最も簡単に解決する. 不適切な回答はありません.
japones ^^
look you have to multiply
8 cm x 6cm
20cm x 6 cm
and the answer that comes out of the multiplication is the correct one
Which of these expressions could Alex and Taylor use to calculate the square footage of the tile Dining area? Find only the tile floor, and not the cabinets shown in black. Select all that apply.
A 34 foot by 13 foot grid. The kitchen is flush left. It has an 18 foot by 2 foot horizontal rectangle in the top left of the grid. Under the far left and right sides of the rectangle are two 6 foot by 2 foot vertical rectangles. There are two other horizontal rectangles on the bottom left of the grid that are 2 foot by 6 foot. There is a 4 foot gap between them. The dining room is on the right with a 12 foot by 2 foot rectangle in the top right of the grid.
Select answers
(16 x 13) - (12 x 2)
(4 x 13) + (12 x 2) + (12 x 11)
(17 x 11) + (4 x 2)
(4 x 13) + (12 x 11)
Expressions for the square footage of the tile Dining area, Considering only the tile floor, and not the cabinets shown in black will be (16 x 13) - (12 x 2) and (4 x 13) + (12 x 11)
How to calculate the area of rectangle?The area of a rectangle is a measure of the amount of space it occupies in two-dimensional (2D) space. It is calculated by multiplying the length of the rectangle by its width. Mathmatically,
\(Area=length*width\)
Now, Solving given problem,
The total area of the grid will be:Length of grid = 16 ft, Width of grid = 13 ft
Total area of grid = Length x Width = 16 ft x 13 ft = 208 sq ft
The area of the rectangle in the top right :Length of rectangle = 12 ft, Width of rectangle = 2 ft
Area of rectangle = Length x Width = 12 ft x 2 ft = 24 sq ft
To remove the top right rectangle from the tile dining area, subtract its area from the total area of the grid:
(Total area of grid) - (Area of rectangle in top right) = (208 sq ft -24 sq ft )= 184 sq ft
So, the expression for this calculation will be: (16 x 13) - (12 x 2) = 184 sq ft
The area of the vertical rectangles on the far left and right sides is calculated as follows:Width of vertical rectangles = 4 ft, Length of grid = 13 ft
Area of vertical rectangles = Width of vertical rectangles x Length of grid = 4 ft x 13 ft = 52 sq ft
The area of the rectangle in the top right:Length of rectangle = 12 ft, Width of rectangle = 11 ft
Area of rectangle = Length x Width = 12 ft x 11 ft = 132 sq ft
Add the areas of the vertical rectangles and the rectangle in the top right to get the total area of the tile dining area:
Area of vertical rectangles + Area of rectangle in top right = 52 sq ft + 132 sq ft = 184 sq ft
So, the expression for this calculation is: (4 x 13) + (12 x 11) = 184 sq ft
Hence, both of these expressions- (16 x 13) - (12 x 2) and (4 x 13) + (12 x 11) gives the square footage of the tile dining area based on the given information.
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select the ordered pair which is a solution to the equation y=-1/4x+5 A(-8, 4) B(-4,6) C(4,8) D(8,10)
Answer:
b. (-4,6)
Step-by-step explanation:
y = -1/4x + 5
y = -1/4(-4) + 5
y = 1 + 5
y = 6
hope it helps :)
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3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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If a = 10, then what is the value of 6a + 15?
Answer:
75
Step-by-step explanation:
6(10)+15
60+15
Answer:
75
Step-by-step explanation:
Substitution:
6a+15 (a=10)
6*10+15
60+15
75