QUESTION 13
An art student wants to enlarge a triangle with the sides 8, 8, and 14 cm. The new
triangle will have a measurement of 21 cm on its longest side. How long will the
other sides be on the new triangle?
O 12 cm
O24 cm
O 15 cm
21 cm
Answers
Answer:
12 c.m. and 12 c.m.
Step-by-step explanation:
model/actual = scale factor (same thing for dilation)
21/14 = 3/2
3/2*8 =4*3 =12
Related Questions
A rectangular garden has a width of 7x -2 and a length of 3x +10. Find the perimeter.
Answers
=20x+16
Answer:
20x + 16
Step-by-step explanation:
Width (w) = 7x - 2
Length (l) = 3x + 10
Perimeter = 2*(l + w)
= 2* (3x + 10 + 7x - 2)
= 2* (3x + 7x + 10 - 2 ) {Combine like terms}
= 2* ( 10x + 8) {Use distributive property: a(b +c) =(a*b) + (a*c)}
= 2*10x + 2*8
= 20x + 16
how do you Write sin34 in terms of cosine.
Answers
sin(θ) = cos(90 - θ)
sin(34) = cos(90 - 34)
sin(34) = cos(56)
So the answer would be 56 basically
please find the m∠DEF
Answers
Answer:
m∠DEF=29
Step-by-step explanation:
4y-7=2y+11
4y=2y+18
2y+18
y=9
2(9)+11= 29
4(9)-7=29
solve the given equation. (enter your answers as a comma-separated list. let k be any integer.) sinθ= √2/2
Answers
The solutions to the equation sinθ = √2/2 are θ = π/4 + 2kπ and θ = 3π/4 + 2kπ, where k is any integer.
The given equation is sinθ = √2/2. To solve this equation, we need to find the values of θ that satisfy the equation.
The value √2/2 corresponds to the sine of 45 degrees or π/4 radians. This value is positive and occurs at two points on the unit circle: in the first quadrant and in the third quadrant.
In the first quadrant, the reference angle that yields a sine value of √2/2 is 45 degrees or π/4 radians. So, one solution is θ = π/4.
In the third quadrant, the reference angle that yields a sine value of √2/2 is also 45 degrees or π/4 radians, but in this quadrant, the sine value is negative. To obtain the corresponding angle in the third quadrant, we subtract the reference angle from π (180 degrees) or 2π (360 degrees). So, the other solution is θ = π - π/4 = 3π/4.
Thus, the solutions to the equation sinθ = √2/2 are θ = π/4 + 2kπ and θ = 3π/4 + 2kπ, where k is any integer. These represent the angles at which the sine function equals √2/2.
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if a line has a slope of -5/6 a line that is parallel has a slope of what
Answers
Hello there! :)
Parallel lines have the same slope.
We are given that one line has a slope of -5/6.
The line parallel to it has a slope of -5/6 as well.
Hope it helps.
Please mark brainliest.
~An emotional teen who helps others with joy
Good luck.
Ayo one quick question for the boiz
Answers
Answer: 6
Step-by-step explanation:
Ajecent means like next to something btw
Answer:
2 is adjacent to 3
Right Triangle Trigonometry (SOH CAH TOA) Mazes
Answers
Answer:for start
Step-by-step explanation:cos(28)=x over 19 than 19times cos(28)=x and x= 16.8
Rory records the percentage of battery life remaining on his phone throughout a day. The battery life decreases as Rory uses the phone, but will increase or stay at 100% while charging. The graph represents the percentage of battery life remaining after a certain number of hours.
A graph titled Phone Battery Life. The horizontal axis shows Elapsed Time (hours) numbered 2 to 20, and the horizontal axis shows Battery Life (%) numbered 10 to 120. A line begins at 100% in 0 hours, to 20% in 8 hours, to 100% from 10 to 12 hours, to 60% in 16 hours, to 100% from 17 to 20 hours.
At which times could Rory's phone have been plugged into the charger? Select three options.
6 hours
9 hours
11 hours
14 hours
19 hour
Answers
Answer:
9, 11, and 19
Step-by-step explanation:
9, 11, and 19 are the only plausible answers because there were only 2 periods where the phone was at 100% (other than when the graph started) and these are the only hours that fell within those periods..
if anybody could help that would be great<3
Answers
Answer:
3 and 15/22
Hope you have a great day ^^
~sunny
for what value of k, k > 0, does the integral from 0 to k of the quantity 4 times k times x minus 5 times k, dx equals k squared?
Answers
To find the value of k that satisfies the given equation, we need to evaluate the integral and set it equal to k squared.
The integral of the given function, 4kx - 5k, with respect to x from 0 to k is:
∫(0 to k) (4kx - 5k) dx
Using the power rule of integration, we can integrate each term separately:
∫(0 to k) 4kx dx - ∫(0 to k) 5k dx
Integrating each term:
2kx^2 evaluated from 0 to k - 5kx evaluated from 0 to k
Plugging in the limits of integration:
[2k(k)^2 - 2k(0)^2] - [5k(k) - 5k(0)]
Simplifying further:
2k(k^2) - 0 - 5k^2 + 0
2k^3 - 5k^2
Now, we set this expression equal to k^2:
2k^3 - 5k^2 = k^2
Rearranging the equation:
2k^3 - 6k^2 = 0
Factoring out k^2:
k^2(2k - 6) = 0
Setting each factor equal to zero:
k^2 = 0 or 2k - 6 = 0
The first equation, k^2 = 0, implies that k = 0. However, since the question states that k > 0, this solution is not valid.
Solving the second equation:
2k - 6 = 0
2k = 6
k = 3
Therefore, the value of k that satisfies the equation is k = 3.
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a machine produces a part for the automotive industry. 10% of the parts produced were defective in the past, and we believe that the current percentage is not higher. what is the needed sample size for estimating the current percentage of defective parts with the 95% confidence and the 2% margin of error?
Answers
The required sample size as calculated from the data given is 605.
Because we are determining the interval for a proportion in this example, using the z distribution is necessary in order to determine the critical value.
Our significance level would be determined by and as our interval has a 90% level of confidence. The crucial value would then be determined by:
This formula provides the proportion interval's margin of error,
ME = z√pq/n - (a)
According to estimates, the faulty percentage is 0.1 .
In this instance, the error margin is and we are interested in determining the value of n; hence, when we solve n from equation (a), we obtain,
n = pq/ ( ME / 2)² - (b)
And by substituting the values from part a's equation (b), we obtained:
n = 0.1( 1 - 0.1) / ( 0.02 / 1.64 )² = 605.16
On rounding off,
n = 605
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Alicia runs a small business mowing yards in the summer. For every yard she mows, she earns $40. However, she spends part of this money on gasoline for her lawnmower. Each gallon of gasoline costs $3. Write an expression for the amount of money that Alicia earns in a day, where y is the number of yards she mows and g is the number of gallons of gasoline she buys.
$40g + $3y
$40y + $3g
$3g − $40y
$40y − $3g
Answers
Answer:
$40y - $3g
Step-by-step explanation:
it wouldn't be c because the 3 and 40 are on the wrong side. and it wouldn't be a because the y and g are on the wrong number. you should realise that the variables y and g need to go to the corresponding amount and $40 is how much she get by mowing lawns (y) and $3 is how much gasoline costs to take away from her total amount. so its now between b and d. it is d because you are subtracting 3 from 40 because that how much she spent and it takes away from her total.
Option D : $40y − $3g is correct.
We have the following information about Alicia -
For every yard she mows, she earns $40
She spends part of this money on gasoline which costs $3
We have to find expression for the amount of money that Alicia earns in a day.
What is a linear equation in two variables?An equation of the form ax + by + c=0, where a, b are the coefficients of x and y and are non -zero and all a, b, and c are real in nature.
Let the amount of money she earns in a day = x
Number of yards she mows in a day = y
Money earned on mowing ' y ' yards in a day = $40 y
Number of gallons of gasoline she buys = g
Amount spent in gasoline in a day = $3 g
Total money earned = Money earned - money spent on gasoline
x = $40y - $3g
Hence, Option D is correct
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What is the surface area of the square pyramid 17ft 9ft 17ft
Answers
Answer:
The surface area of the square pyramid with dimensions 17 ft x 9 ft x 17 ft is 595 square feet.
Step-by-step explanation:
To calculate the surface area of a square pyramid, we need to add the area of the base to the sum of the areas of the four triangular faces.
For a square pyramid with side length s and slant height l, the surface area can be calculated as follows:
Surface area = s^2 + 2sl
where s is the length of one side of the square base, and l is the slant height of the pyramid, which is the height of each of the four triangular faces.
In your case, the dimensions given are 17 ft for the base and 9 ft for the height, which is also the slant height. Therefore, we can calculate the surface area as:
Surface area = 17^2 + 2(17)(9)
Surface area = 289 + 306
Surface area = 595
Here is the green triangle again. Transform it using the rule ( x, y) --> (y, x)
When you have your points, go down to row 6 and hit the play button.
Answers
The green triangle with the preimage coordinates and the image coordinates are listed below
Preimage image
A (-5, 2) A' (2, -5)
B (-3, 5) B' (5, -3)
C (-1, 4) C' (4, -1)
How to find the transformationThe transformation is according to the transformation rule given in the problem
rule ( x, y) --> (y, x)
This rule exchanges the coordinates of the triangle to produce a reflection over the line y = x
The image of the reflection is attached
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complete question
The coordinates of the green triangle are
A (-5, 2)
B (-3, 5)
C (-1, 4)
Which floating-point literal correctly represents the scientific notation value: 2.3 x 10^7?
Answers
The floating-point literal that correctly represents the scientific notation value: 2.3 x 10^7 will be A. 2.3e^7.
What is scientific notation?It should be noted that scientific notation simply means. way that's used to express numbers that are either too large or too small to be written in decimal form.
Therefore, it should be noted that the floating-point literal that correctly represents the scientific notation value: 2.3 x 10^7 will be:
= 2.3 × 20^7
= 2.3 × e^7
= 2.3e7
The correct option is A.
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Which floating-point literal correctly represents the scientific notation value: 2.3 x 10^7?
a. 2.3e^7
b. 2.3 × 10e^7
c. 2.3e × 10^7
d. 2.3 × e^7
It takes a machine at a seafood company 20 s to clean 3 1 ib of shrimp _ 3
Answers
It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. The rate of the machine is 0.15 pound per second
What is an equation?An equation is an expression that shows the relationship between two numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.
It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. Hence:
Rate of the machine = 3 pounds / 20 seconds = 0.15 pound per second
It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. The rate of the machine is 0.15 pound per second
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Good farmland is sold at £4000 per hectare (1 hectare = 10 000m²). Bacon farm has a
rectangular field measuring 300m by 80m. Find the cost of the field.
Answers
Answer: First, we need to convert the area of the rectangular field from square meters to hectares, since the price is given in £/hectare.
The area of the field is:
300m x 80m = 24000 m²
To convert this to hectares, we divide by 10,000:
24000 m² ÷ 10,000 m²/hectare = 2.4 hectares
Now we can calculate the cost of the field by multiplying the area in hectares by the price per hectare:
2.4 hectares x £4000/hectare = £9600
Therefore, the cost of the rectangular field at Bacon farm is £9600.
Find the factored form of x2 + 11x + 30.
» (x+6)(x-5)
» (x+6)(x+5)
» (x+10)(x+3)
» (x-10)(x-3)
irrelevant deleted
Answers
Answer:
2nd option
Step-by-step explanation:
x² + 11x + 30
Consider the factors of the constant term (+ 30) which sum to give the coefficient of the x- term (+ 11)
The factors are + 6 and + 5 , since
6 × 5 = 30 and 6 + 5 = 11 , then
x² + 11x + 30 = (x + 6)(x + 5) ← in factored form
Answer:
(x+6)(x+5)
because the sum of 6+5 is 11x
and the multiplication of 6·5 is 30
(13a² − 6a⁵ − 2a) − (−10a² − 11a⁵ + 9a)
Answers
Answer:
a x (23a+5a^4 - 11)
Step-by-step explanation:
(a x (13a - 6a^4 - 2) + 10a^2 + 11a^5 - 9a
rewite the expression and remove any unnecessary parentheses.
a x (13a - 6a^4 -2) + 10a^2 +11a^5 - 9a
factor the expression.
a x (23a - 6a^4-2+11a^4-9)
connect like terms.
your welcome
For every 3 people that prefer soda, 7 people prefer water. If 18 people prefer soda, how many prefer water?
Answers
Answer:
Step-by-step explanation:
w/18=7/3
w=126/3
w=42
Professor Kucera creates the Venn diagram below to describe the proportion of students who take chemistry and Spanish at the
University of California, Irvine, Where A = student takes chemistry and B = student takes Spanish. Suppose one student is chosen at random.
Refer to diagram
Find the value of P(AUB) and describe it in words.
A) 0.6. This is the probability that the student takes both chemistry and Spanish.
B) 0.1 This is the probability that the student takes either chemistry or Spanish, but not both.
C) 0.6. This is the probability that the student takes either chemistry or Spanish, or both.
D) 0.1. This is the probability that the student takes both chemistry and Spanish.
E) 0.5 This is the probability that the student takes either chemistry or Spanish, but not both.
Answers
0.6. This is the probability that the student takes either chemistry or Spanish or both. Option C. is the answer
How to find the value of P(AUB) from the Venn diagram and describe it in words?
Probability is a measure of the likelihood of a particular event or outcome occurring.
Given the: Venn diagram where P(A) = 0.2 and P(B) = 0.3 and P(A∩B) = 0.1
Since A = student takes chemistry and B = student takes Spanish
P(A∪B) defines the set of students that take either A or B or both
Thus, P(A∪B) will the addition of P(A), P(B) and P(A∩B). That is:
P(A∪B) = P(A) + P(B) + P(A∩B)
P(A∪B) = 0.2 + 0.3 + 0.1 = 0.6
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What is 5(4x + 3.5) equivalent to?
Answers
Answer:
The answer is
20x + 17.5
Step-by-step explanation:
Multiply the 5 by the numbers inside the parenthesis.
5 x 4x
5 x 3.5
Algibra 1 Math nation! HELPPPPPPPPP!
Answers
The vertex form of h(x) is h(x) = -1/2(x - 2)² + 18.
The standard form of h(x) is h(x) = -1/2(x)² + 2x + 16.
How to determine the vertex form of a quadratic equation?In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:
f(x) = a(x - h)² + k
Where:
h and k represents the vertex of the graph.a represents the leading coefficient.Based on the information provided about the vertex, we can determine the value of a as follows:
f(x) = a(x - h)² + k
16 = a(0 - 2)² + 18
16 - 18 = 4a
-2 = 4a
a = -1/2
Therefore, the required quadratic function in vertex form is given by:
h(x) = a(x - h)² + k
h(x) = -1/2(x - 2)² + 18
For the standard form, we have:
h(x) = -1/2(x - 2)² + 18
h(x) = -1/2(x - 2)(x - 2) + 18
h(x) = -1/2[(x² - 4x + 4) + 18]
h(x) = -1/2(x)² + 2x + 16
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Drag the cards to create a number that matches these rules.
The number ends in the tenths place.
8 is the nearest one when rounding
Answers
The radius of a circle is 19 cm. Find its area in terms of \piπ.
Answers
A circle is a two-dimensional figure that has a radius and points on the surface of the circle.
The area of the circle is given as:
Area = πr²
The area of the circle in terms of π is 361 π.
What is a circle?
A circle is a two-dimensional figure that has a radius and points on the surface of the circle.
The area of the circle is given as:
Area = πr²
Example:
A circle with a radius of 2 cm.
Area = 4π
We have,
The radius of the circle = 19 cm
The area of the circle:
Area = πr²
Area:
= πr²
= π x 19²
[ 19 x 19 = 361 ]
= π x 361
= 361 π
Thus,
The area of the circle in terms of π is 361 π.
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Audrey owes her parents a debt of $20. Her parents will remove $10 of the debt if she babysits her little brother. Which expressions represent this situation? Choose BOTH expressions. The image is above. NO LINKS OR FAKE ANSWERS OR I WILL REPORT YOU. Thanks the image is above¡¡♡
Answers
Netflix would like to estimate the proportion of their current subscribers who would pay extra for a premium membership including access to more movies and tv shows. To do this, they plan to calculate a 95% confidence interval to estimate the proportion. They would like a margin of error of. 5. How many subscribers must they sample to obtain this interval?.
Answers
The number of subscribers they must sample to obtain this interval is: b) 385.
How to find the sample?
95% confidence interval for z-score is 1.96
Using this formula to find the number of subscribers they must sample to obtain this interval
n≥ (zσ/2 ÷ 2ME)²
Where:
n= Sample
zσ = Z-score
ME = margin of error
Let plug in the formula
n≥ [1.96 / 2(0.05)]²
n≥ [1.96 / 0.1]²
= (19.6)²
= 384.16
=385 (Rounded)
Therefore the correct option is B.
The complete question is:
Netflix would like to estimate the proportion of their current subscribers who would pay extra for a premium membership including access to more movies and TV shows. To do this, they plan to calculate a 95% confidence interval to estimate the proportion. They would like a margin of error of .05. How many subscribers must they sample to obtain this interval?
a) 1537
b) 385
c) 192
d) 10
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!30 Points!
A pyramid has a height of 10m and a radius of 3m
What is the volume of the cone to the nearest whole number?
A. 283 m^3
B. 94 m^3
C. 31 m^3
D. 188 m^3
Answers
Therefore, the volume of the cone to the nearest whole number is 94 m^3.
Define volume.The measurement of three-dimensional space is volume. It is frequently expressed quantitatively using SI-derived units, as well as several imperial or US-standard units. Volume and the notion of length are connected.
What are derived units?The units that may be produced in terms of basic units to measure quantities other than those measured in those units are known as derived units. Examples of derived units are the meter per second (distance), mole per cubic meter (material concentration), and specific volume (cubic meter per kilogram).
We are given, the radius of the cone as 3m and a height is 10m
Using formula,
V = (1/3) * pi * r^2 * h
V = (1/3) * 3.14 * 9 * 10
V = 94 m^3
So, The correct answer is B. 94 m^3
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The hundreds digit and the ones digit of a three digit number are the same. The sum of its three digits is 16. If the tens digit and the ones digit are exchanged, the number increases by 45. What is the number?
Answers
If the hundreds digit and the ones digit of a three digit number are the same. The number are: 727.
How to find the three digits?Let x+ y + z = 16
Let 2x + y =16
Let the equation be:
100x + 10z + y = 100x + 10y +z +45
100x + 10x+ y = 100x + 10y +x +45
9x - 9y = 45
x- y = 5
Solving for x be adding the two equation
2x + y = 16
x- y = 5
3x + 0 = 21
3x =21
x = 21/3
x = 7
Substitute
x - y = 5
7-y = 5
y = 7-5
y =2
The three digits are 727.
Therefore the number are: 727.
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4. Find the volume of the figure. The base is a square.
5. Find the volume of the figure. Leave the answer in the terms of pi
Answers
Answer:
A) 283500 ft³
B) 1057.26 π in³
Step-by-step explanation:
A) Volume of square based pyramid
= 1/3 × Area of the base × height
= 1/3 × (90 ft)² × 105 ft
= 283500 ft³
B) This figure is a composite figure
Step 1
Find the volume of the cone
=1/3 πr²h
r = radius = 8.5 in
h = height = 10 in
= 1/3 × π × (8.5 in)² × 10 in
= 240.83333333 π in³
≈ 240.83 π in³
Step 2
Find the volume of the cylinder
= πr²h
= r = radius = 8.5 in
h = height = 11.3 in
= π × (8.5 in)² × 11.3 in
= 816.425 π in³
≈ 816.43π in³
Volume of the figure = (240.83 π + 816.43 π) in³
= 1057.26 π in³