Answer:
y = 4x-7
Step-by-step explanation:
We have a slope and a point
m = 4 (2,1)
Using the slope intercept form of the equation
y = mx+b
y = 4x+b
From the point x=2 and y =1
1 = 4(2)+b
1 = 8+b
Subtract 8 from each side
1-8 =8-8+b
-7 = b
We can write the equation by using m=4 and b = -7
y = 4x-7
Answer:
y = 4x - 7
Step-by-step explanation:
y = mx + b
y = 4x + b
1 = 4(2) + b
b = 1 - 8
b = -7
y = 4x - 7
Solve for the surface area.
Answer:
382.5
Step-by-step explanation:
9x10=90
9x9=81
13.5x9=121.5
9x10=90
180+81+121.5= 382.5
There are two triangles.
Area of a triangle = 1/2 x 10 x 9 = 45 square in.
45 x 2 = 90 square inches
One side is 9 x 9 = 81 square inches.
One side ix 10 x 9 = 90 square inches.
One side = 9 x 13.5 = 121.5 square inches.
Total surface area = 90 + 81 + 90 + 121.5 = 382.5 square inches.
Two fair number cubes are rolled. State whether the events are mutually exclusive. Explain your reasoning.
The numbers are the same, the sum is odd.
Are they mutually exclusive?
A. Yes because if one event occurs, the other can’t occur
B. No because they both can’t occur at the same time
C. No because if one event occurs, the other can’t occur
D. Yes, because both events can occur at the same time
Final answer:
When two number cubes are rolled, the events of rolling the same number and getting an odd sum are mutually exclusive, as one excludes the possibility of the other occurring.
Explanation:
Two events are considered mutually exclusive if the occurrence of one event excludes the possibility of the other event occurring simultaneously. When examining whether the events of rolling two number cubes are mutually exclusive, we look at two particular events:
The numbers rolled are the same.
The sum of the numbers rolled is odd.
Two number cubes can simultaneously show the same number, which would be an even number (since the pairs would be (2,2), (4,4), or (6,6)) and not lead to an odd sum. Therefore, if we roll the dice and get two numbers that are the same, we cannot get an odd sum. This means that these two events cannot happen at the same time, so the correct answer is:
A. Yes because if one event occurs, the other can't occur.
Please help me now plz
I will mark you brainliest
Answer:
A =41.81
Step-by-step explanation:
Since this is a right angle, we can use trig functions
sin A = opp/ hypotenuse
sin A = 4/6
SinA = 2/3
Take the inverse sin of each side
sin^-1 (sin A) = sin^-1 (2/3)
A =41.8103149
To the nearest hundredth
A =41.81
Find the area of the parallelogram *
Captionless Image
1188 sq in
69 sq in
138 sq in
1440 sq in
None of the above
Answer:
1188 sq in.
Step-by-step explanation:
area of parallelogram = base * height
area = 36 in. * 33 in. = 1188 sq in.
Answer:
1188
Step-by-step explanation:
36 multiplied by 33, ignore the 40
If (x, y) is a solution to the system of equations, what is the value of y?
x +
1
/8
y = 20
x +
1
/4
y = 4
Answer:
4
Step-by-step explanation:
What is the perimeter of ABC with vertices A(-2,9), B(7,-3), and C(-2,-3) and in the coordinate plain?
A. 21 units
B. 15 units
C. 34 units
D. 36 units
Answer:
Step-by-step explanation:
A - C = ( -2, 9) - (- 2 -3)
= ( 0, 12)
AC = 12
B - C = (7 - 3) - ( - 2 -3)
= (9, 0)
BC = 9
ABC is a right -angled triangle with AC as the hypotenuse
AC = sqrt( 9^2 + 12^2)
= sqrt(81 + 144)
= srqt(225)
= 15
Perimeter = 12 + 9 + 15
= 36 units
So the answer is 36 units
Answer:
36unitsStep-by-step explanation: A - C = ( -2, 9) - (- 2 -3)
= ( 0, 12)
AC = 12
B - C = (7 - 3) - ( - 2 -3)
= (9, 0)
BC = 9
ABC is a right -angled triangle with AC as the hypotenuse
AC = sqrt( 9^2 + 12^2)
= sqrt(81 + 144)
= srqt(225)
= 15
Perimeter = 12 + 9 + 15
= 36 units
So the answer is 36 units
2x-y=4 and 7x+3y=27
step by step
Answer:
x=3 y=2
Step-by-step explanation:
2x-y=4
7x+3y=27
Multiply the first equation by 3
3(2x-y)=4*3
6x - 3y+12
Add this to the second equation to eliminate y
6x -3y = 12
7x+3y=27
---------------------
13x +0y = 39
Divide each side by 13
13x/13 = 39/13
x = 3
Now find y
2x-y =4
2(3) -y = 4
6-y=4
Subtract 6 from each side
6-y-6 = 4-6
-y = -2
y=2
Help ASAP PLZ
Find the equation for this graph
y = 5 * (1/2)^x
Step-by-step explanation:
This is an exponential function
y =ab^x
where a is the initial value ( where x = 0)
a = 5
y = 5 * b^x
Pick a point to determine b
(1,2.5)
2.5 = 5 * b^1
2.5 = 5 *b
Divide each side by 5
2.5/5 = b
b = 1/2
y = 5 * (1/2)^x
Parallelogram L M N O is shown. Diagonals are drawn from point M to point O and from point L to point N and intersect at point P. The length of L M is 22 centimeters and the length of M N is 18 centimeters.
What is the perimeter of parallelogram LMNO?
18 cm
22 cm
40 cm
80 cm
Answer:
D. 80
Step-by-step explanation:
edge 2021
The perimeter of the parallelogram LMNO is 80 cm
What is a parallelogram?A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
Given that, in a parallelogram LMNO, the length of L M is 22 cm and the length of M N is 18 cm.
Perimeter of a parallelogram = 2(sum of two adjacent sides)
= 2(18+22)
= 2×40
= 80
Hence, the perimeter of the parallelogram LMNO is 80 cm
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which geometric figure contains exactly two perpendicular lines
Answer:
Like a square, a rectangle has lines that are perpendicular to two other lines. This means it also has four right angles.
Step-by-step explanation:
Answer:
a right triangle
Step-by-step explanation:
Alfonso scored 18 points during his last basketball game, which was 40% of the points the entire team scored.
Answer:
45
Step-by-step explanation:
How is the process of finding the surface area of a rectangular prism the Same as finding the surface of a triangular prism?how is it different.
Answer:
Check the step by step explanation
Step-by-step explanation:
The surface area of a prism can be calculated using the formula below;
[tex]SA=2B+PH[/tex]
H = height of the prism
B = Base's area
P = perimeter of the base
They are the same because the same formula is used for the surface area of a rectangular prism and the surface area of a triangular prism.
THE DIFFERENCE BETWEEN THEM IS THIS;
1) for triangular prism,
The perimeter of the base of triangular prism is calculated using g the formula below;
[tex]P=a+b+c[/tex]
P= the perimeter
a,b,c = the length of each of the three making up the triangle
While the AREA of the base of the tria gular prism is calculated using the below formula
A= 1/2 * b* h
A= Area
2) Rectangular prism
perimeter of the base of rectangular prism can be calculated using the formula below;
[tex]P=2(L+W)[/tex]
L = length of the rectangle
W= width of the rectangle
The area of the rectangle can be calculated using the formula below;
[tex]A=LW[/tex]
A= area of the rectangle
W= width of the rectangle
Answer:
Sample Response: For both prisms, you can draw a net to help you find the areas of the faces. Add the areas together to find the surface area. A rectangular prism has only rectangular faces, and you use the formula bh to find area. A triangular prism has triangular and rectangular faces, and you use the area formula bh for rectangular faces and the area formula 1/2bh for triangular faces.
Step-by-step explanation:
Edge 2021
During an art show at the local gallery, Joy closely examined 2 pieces of art by each artist whose work was on display there. Each artist had an equal number of pieces on display. Is this sample of the art in the gallery likely to be representative?
Joy's approach to sampling art at the gallery, by examining 2 pieces per artist, can be representative if the selections span the artists' exhibited range. However, the representativeness might be limited if artists have a wide variety of styles or themes not captured by just two pieces.
Explanation:Joy, by examining 2 pieces of art by each artist at the art show, attempts a representative sampling of the gallery's overall offerings. Whether this approach yields a representative sample depends on a few key factors. Primarily, the diversity and range of the artists' works on display must be considered. If each artist displays a wide variety of work and Joy's selections span this variety, her sample could offer a fair representation of the gallery's exhibition. However, if the artists have a vast body of work with significant variations in style, theme, or period not captured by just two pieces per artist, Joy's sample may not accurately represent the entire collection.
Furthermore, the extent to which the selected works reflect the artists’ core themes or periods plays a critical role in determining representativeness. Assuming each artist's work on display has an equal chance of being selected and Joy chooses pieces that span the artists' exhibited range, the sample can be somewhat representative. Nonetheless, a truly comprehensive view would likely require examining a greater number or a more strategically chosen set of artworks.
Joy’s examination provides valuable insights, but for a truly representative view of the gallery, additional observations or data would be beneficial.
Let’s explore the concept of representative samples in the context of Joy’s art gallery experience.
1. Understanding Representative Samples:
o A representative sample is a subset of a larger population that accurately reflects the characteristics of the entire population. In this case, the population consists of all the art pieces displayed in the gallery.
o When we say a sample is “representative,” it means that the selected pieces adequately capture the diversity and essence of the entire collection.
2. Joy’s Situation:
o Joy closely examined 2 pieces of art by each artist. Since each artist had an equal number of pieces on display, Joy effectively observed a balanced representation of the artists’ work.
o By examining multiple pieces from each artist, Joy has a better chance of encountering a variety of styles, themes, and techniques.
3. Likelihood of Representativeness:
o Given that Joy looked at 2 pieces from each artist, we can consider this sample as potentially representative.
o However, there are a few factors to consider:
Artistic Diversity: If the artists’ styles are vastly different, the sample may not fully represent the entire gallery’s range.
Number of Artists: If there are only a few artists in total, the sample might be less representative.
Gallery Size: The larger the gallery, the more challenging it is to capture full representativeness with a limited sample.
4. Conclusion:
o While Joy’s sample is a good start, it’s essential to recognize its limitations.
o To determine true representativeness, we’d need more information about the total number of artists, the overall collection size, and the diversity of artistic approaches.
In summary, Joy’s examination provides valuable insights, but for a truly representative view of the gallery, additional observations or data would be beneficial.
Amy’s current grades for her assignments in math class are 85 , 90 , 95 and 80. What grade does she have to earn on her next assignment to attain an average of 90?
Answer:
100
Step-by-step explanation:
100+90+85+95+80= 450,
450/5=90
She has to earn on her next assignment to attain an average of 90 for grade 100.
What is the average value?The average is the middle value of the given data set and is calculated by adding up all the numbers and dividing the result by the total quantity of figures added.
Amy’s current grades for her assignments in math class are 85, 90, 95, and 80.
Let x be the grade she has to earn on her next assignment to attain an average of 90.
The grade does she have to earn on her next assignment to attain an average of 90 is;
[tex]\rm Average =\dfrac{Sum \ of \ all \ grades}{Number \ of \ grades}\\\\ 90 =\dfrac{x+90+85+95+80}{5}\\\\ 90 \times 5 = x+350\\\\450=x+350\\\\x =450-350\\\\x=100[/tex]
Hence, she has to earn on her next assignment to attain an average of 90 for grade 100.
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Which equation can be used to find the volume of the cylinder? A cylinder with a radius of 4 inches and height of 16 inches.
Answer:
V=Bh so Volume = π4.0 2 16.0 = 804.25
Step-by-step explanation:
1.5 mi = how many ft
Step-by-step explanation:
Step 1: Convert miles to feet
1 mile = 5280 feet
1.5 * 5280
7920 feet
Answer: 7920 feet
This sculpture designed by Mr. Newman’s colleague, Tia, is shaped like a hollow triangular pyramid. All 3 of the lateral faces are congruent and made of glass. How much glass was used to make the sculpture, if each face has a base length of 4 m and a slant height of 6 m? What is the area of each of the lateral faces? m² What is the total lateral area of the sculpture? m²
Answer: Each lateral face would have an area measuring 11.32 square metres.
(2) The total lateral area is 40.88 square metres.
Step-by-step explanation: A three-sided triangular prism as stated in the question would have triangular faces on all sides and since the one in the question is described as a hollow triangular pyramid, we can safely conclude that each surface is a flat/plane shape. Also, each of the triangular surfaces has a base length of 4 metres and a slant height of 6 metres. The surface area is given as
Area of a triangle = 1/2 * base * height
However, the height given is the slant height. Therefore to calculate the vertical height, we shall apply the Pythagoras' theorem, which means the triangular surface would have to be divided into two halves by a perpendicular line that splits the base length into two equal sides. This results in a right angled triangle with the hypotenuse measuring 6 metres and one of the two other sides measuring 2 metres. We now have
AC² = BC² + AB²
Where AC is the hypotenuse 6, BC is one of the other sides 2, and AB is the unknown (slant height).
6² = 2² + AB²
36 = 4 + AB²
Subtract 4 from both sides of the equation
32 = AB²
Add the square root sign to both sides of the equation
√32 = √AB²
5.66 = AB
The area of the triangular surface now becomes;
Area = 1/2*base*height
Area = 1/2 x (4 x 5.66)
Area = 1/2 x 22.64
Area = 11.32 metres²
The total of all three surfaces would be derived as
Surface areas = 11.32 x 3
Surface areas = 33.96 metres²
For the base area, with all three sides measuring 4 metres each, the area would be derived but first we need to calculate the slant height first.
With a line drawn perpendicular to one of the sides, we now have a right angled triangle with the hypotenuse as 4, one of the sides as 2, and the other side unknown (slant height).
AC² = AB² + BC²
4² = 2² + BC²
16 = 4 + BC²
Subtract 4 from both sides of the equation
12 = BC²
Add the square root sign to both sides of the equation
√12 = √BC²
3.46 = BC
The area of the base triangle now becomes;
Area = 1/2*base*height
Area = 1/2 x (4 x 3.46)
Area = 1/2 x (13.84)
Area = 6.92
The total lateral area would now become
Lateral area = Surface area + Base area
Lateral area = 33.96 + 6.92
Lateral area = 40.88 metres²
Answer:
12 and 36 on edge
Step-by-step explanation:
2x^2- 5x + 6 when x = -2
Answer:
Step-by-step explanation:
x= -2
2x² - 5x + 6 = 2(-2)² - 5*(-2) + 6
= 2*4 + 10 + 6
= 8 + 10 + 6
= 24
What is 18 divided by 10?
Answer: 1.8
Step-by-step explanation:
The division, 18 divided by 10 gives 1.8.
What is 18 divided by 10?Division is one of the basic arithmetic operations in mathematics. It is the opposite of multiplication.
18 divided by 10 means that we are dividing a group of 18 objects into 10 equal groups. That is:
18/10 = 1.8
Note: Since we are dividing by 10, we can move the position of the decimal point to the left by one step.
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What is the relationship between
∠
a
∠astart color #11accd, angle, a, end color #11accd and
∠
b
∠bstart color #1fab54, angle, b, end color #1fab54?
A
A
B
B
C
C
D
D
E
E
a
a
b
b
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Vertical angles
(Choice B)
B
Complementary angles
(Choice C)
C
Supplementary angles
(Choice D)
D
None of the above
The relationship between angles ∠a and ∠b is they are complementary angles.
Given a figure.
Here, two lines are crossed to each other such that the angles between each of the cross is 90 degrees.
So the angle between the lines BX and XC which forms at X is a right angle or 90 degrees.
So,
m∠BXC = 90°
Now, ∠BXC is the sum of the angles ∠BXY and ∠YXC.
From the figure,
∠BXY = ∠a and ∠YXC = ∠b.
So,
m∠BXY + m∠YXC = 90°
∠a + ∠b = 90°
When the sum of two angles is 90°, then they are complementary angles.
Hence, ∠a and ∠b are complementary angles, which is the option B.
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The figure is given below.
The volume of this cone is 540 pi. Work out the height,h, of the cone
radius is 9
vol=1/3*pi*r^2*h
curved surface area =pi*r*l
Answer:
20
Step-by-step explanation:
The volume of a cone is given as:
[tex]V = \frac{1}{3} \pi r^2 h[/tex]
where r = radius
h = height
The volume of the cone is 540π and its radius is 9.
This implies that:
[tex]540 \pi = \frac{1}{3} \pi * 9^2 * h\\\\h = \frac{540 * 3}{81} \\\\h = 20[/tex]
The height of the cone is 20.
Answer:
The answer is 20 bro
Step-by-step explanation:
I think it’s a or b but I’m thinking it’s a am I correct?
Answer:
Step-by-step explanation:
b because of the 2 squared
Solve for x
x2 + 14x + 49 = 0
Answer: X=7
Step-by-step explanation: Use the formula (b/2)^2 in order to create a new term. Solver for X by using this term to complete the square.
X=7
Which best describes the error in finding the surface area of the prism?
X
S = 2(5)(3) + 2(3)(4) + 2(5)(3)
= 30 + 24 + 30
= 84 in.2
** 2010
To find the surface area of a prism (or any other geometric solid) we open the solid like a carton box and flatten it out to find all included geometric forms. To find the volume of a prism (it doesn't matter if it is rectangular or triangular) we multiply the area of the base, called the base area B, by the height h.
This info should help you.
Answer:
94
Step-by-step explanation:
the area of the 3 x 5 face is used 4 times rather than twice
What’s the surface area of 20 cm 10 cm and 3 cm
Answer:
200
Step-by-step explanation:
A=b×L
A=20×10
A=200
find the measure of an angle between 0 and 360 coterminal with 510
Answer:
150 degrees
Step-by-step explanation:
HOPE THIS HELPED!
The measure of an angle between 0° and 360° coterminal with 510° is 150°. The difference between coterminal angles yields 360°.
Which angles are said to be coterminal?The angles that share a common terminal side are said to be coterminal angles. So, the difference between those angles is 360°.
Calculating the measure of the required angle:The given coterminal angle is 510°.
So, the reference angle = 510° - 360° = 150°
Thus, the angle is required as a measure of 150°.
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The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 10.4
years; the standard deviation is 1.9 years.
arzo
Use the empirical rule (68 - 95 - 99.7%) to estimate the probability of a meerkat living between 12.3
and 14.2 years
PLEASE HELP
Answer:
13.5% probability of a meerkat living between 12.3 and 14.2 years.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 10.4
Standard deviation = 1.9
The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above the mean.
Between 12.3 and 14.2 years.
12.3 = 10.4 + 1.9
So 12.3 is one standard deviation above the mean.
50% of the measures are above the mean. Of those, 68% are within 1 standard deviation of the mean.
14.2 = 10.4 + 2*1.9
So 14.2 is two standard deviations above the mean.
50% of the measures are above the mean. Of those, 95% are within 2 standard deviation of the mean.
0.5*0.95 - 0.5*0.68 = 0.135
13.5% probability of a meerkat living between 12.3 and 14.2 years.
The graph has lines that are what
I believe you are looking for, intersecting.
Is 2 PLUS 2 the same answer as 2 TIMES 2? If so, how and why?
Answer:
2 + 2 =4
2 * 2 = 4
so, 2 + 2 = 2 * 2
Step-by-step explanation:
2 + 2 =4
2 * 2 = 4
so, 2 + 2 = 2 * 2
Yes, 2 PLUS 2 the same answer as 2 TIMES 2. The explanation is given.
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
Given:
Expression,
2 PLUS 2 and 2 TIMES 2
In numerator form,
2+2 = 4
2 x 2 = 4
Multiplication is a mathematical arithmetic operation.
It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Therefore, solution of 2 PLUS 2 and 2 TIMES 2 is 4.
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2 cm on a map are equal to 3 km in real life. If two points
are 8 cm apart on the map, how far apart are they In real
life?
Answer: 12km
Step-by-step explanation:
2cm=3km
2x4=8
3x4=12
Final answer:
The real-life distance between two points that are 8 cm apart on a map, with a map scale of 2 cm = 3 km, is 12 km. This is calculated using a proportion based on the given scale ratio.
Explanation:
The question asks how to calculate the real-life distance between two points that are 8 cm apart on a map, given that 2 cm on the map are equal to 3 km in real life. To solve this, we can use a proportion where 2 cm on the map corresponds to 3 km of actual distance. The scale ratio is therefore 2 cm : 3 km. If the points are 8 cm apart on the map, we set up the proportion as follows:
2 cm on the map / 3 km in real life = 8 cm on the map / x km in real lifeWe cross multiply to find x:
2 cm * x km = 8 cm * 3 kmx = (8 cm * 3 km) / 2 cmx = 24 km / 2x = 12 kmSo, the real-life distance between the two points is 12 km.