Answers
Answer: 4 cm
EF is 20 cm and BC is 5. Take 20 divided by 5 and you get 4. This is the amount of how much the shape enlarged. For AC, take 16 divided by 4 and you get 4.
Hope it helps.
Answer and Step-by-step explanation:
We can use two methods to find the length of AC.
First method is the Pythagorean Theorem method.
The Pythagorean Theorem Formula is:
[tex]a^2 + b^2 = c^2[/tex]
Where:
a and b = are sides of a triangle
c = the hypotenuse
Plug in the values:
[tex]3^2 + (AC)^2 = 5^2\\\\\\\\9 + (AC)^2 = 25\\\\\\\(AC)^2 = 16\\\\\\AC = 4[/tex]
That means the length of side AC is equal to 4.
Background knowledge also tells us that this is a 3 4 5 triangle, because we have a 5 as the hypotenuse and a 3 for one of the sides.
Second method involving Similarity
We are told that the triangles are similar, which means that one of the triangle id a dilated version of the other, and vise versa.
We can find out the scale factor for these triangles by dividing the corresponding side lengths (which we will be using the hypotenuses).
20 divided by 5 = 4
If we divide the corresponding side of AC by 4, it will result in our answer.
16 divided by 4 = 4.
So, AC = 4
#teamtrees #PAW (Plant And Water)
Related Questions
Katy organised a wedding. Guests had to choose their meal from pasta , chicken or beef. 1/3 of the guests chose pasta. 5/12 of the guests chose chicken. 24 of the guests chose beef. How many guests were at the wedding ?
guys please help i’ll even give brainliest and give the correct answer not wrong ones
Answers
With the help of equations we can say that, the wedding had 96 attendees.
What is an equation ?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.
The statement is not an equation if there is no "equal to" sign in it.
According to our question-
x is the total number of wedding attendees.
1/3 of the attendees =1/3 who chose pasta=1/3x----1
Those who selected chicken =5/12x---2
24 people opted for meat.----3
adding 1,2,3
x = 96
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A manufactor makes integrated circuits that each have a resistance layer with a target thickness of 200 units. A circuit won't work well if this thickness varies too much from the target value. These thickness measurements are approximately normally distributed with a mean of 200 units and a standard deviation of 12 units. A random sample of 17 measurements is selected for a quality inspection. We can assume that the measurements in the sample are independent. What is the probability that the mean thickness in these 16 measurements x is farther than 3 units away from the target value?Choose 1 answer:A) 0.16B) 0.32C) 0.40D) 0.80E) We cannot calculate this probability because the sampling distribution is not normal.
Answers
The probability that the mean thickness in these 16 measurements x is farther than 3 units away from the target value is 0.15 + 0.15 = 0.30 which corresponds to the answer B) 0.32.
What is the Central Limit Theorem?
The central limit theorem states that if you have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed.
We can use the Central Limit Theorem to determine that the sampling distribution of the mean thickness of a random sample of size 17 from a population with a mean of 200 units and a standard deviation of 12 units will be approximately normal with a mean of 200 units and a standard deviation of (12 units)/√17 = 2.8 units.
Given that the mean thickness in these 17 measurements x is farther than 3 units away from the target value, we can use the standard normal table to find the probability.
Let's call X = mean thickness,
if X > 203, we have P(X>203) = P(Z> (203-200)/2.8) = P(Z>1.071) = 0.15
if X < 197, we have P(X<197) = P(Z< (197-200)/2.8) = P(Z<-1.071) = 0.15
Hence, the probability that the mean thickness in these 16 measurements x is farther than 3 units away from the target value is 0.15 + 0.15 = 0.30 which corresponds to the answer B) 0.32.
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108% of 75.5 is what number
Answers
Answer:
81.54
Step-by-step explanation:
% of a # = (% * #)/100
% = 108
# = 75.5
(108 * 75.5)/100
8,154/100
81.54
OR
% of a # = (%/100) * #
% = 108
# = 75.5
(108/100) * 75.5 = 1.08 * 75.5
81.54
Which postulate proves the two
triangles are congruent?
A. SAS
B. SSS
C. HL
D. none
Answers
Answer:
D. none
Step-by-step explanation:
The figure shows two triangles. We see a right angle in each triangle. All right angles are congruent. One angle of one triangle is congruent to one angle of the other triangle. We are not given any other information about congruent sides or other congruent angles. Therefore, there is not enough information to prove the triangles are congruent.
Answer: none
A box of cookies contains three chocolate chip cookies, two oatmeal raisins, and four
gingerbreads. What is the probability of picking a chocolate chip, and then a gingerbread?
Answers
Answer: [tex]\dfrac{1}{6}[/tex]
Step-by-step explanation:
Given
A box contains 3 chocolate chip cookies, 2 oatmeal raisins, and 4 gingerbreads
First Probability of selecting a chocolate chip is
[tex]\Rightarrow \dfrac{3}{9}[/tex]
After that there are 8 items left. So probability of selecting a gingerbread
[tex]\Rightarrow \dfrac{4}{8}[/tex]
On combining, the required probability is
[tex]\Rightarrow \dfrac{3}{9}\times \dfrac{4}{8}\\\\\Rightarrow \dfrac{1}{6}[/tex]
Find f(-2) for f(x) = 2 x 3x
O A. -18
O B. 2/9
O c. 1/18
O D. -36
Answers
Step-by-step explanation:
f(x) = 2 x 3x
2 x 3x
2 (-2) 3(-2)
-4-6=-10
Step-by-step explanation:
f(x)=2 x 3x
2 x 3x
2(-2) 3 (-2)
-4 - 6 = -10
answer these question, please
Answers
A bag contains 8 red marbles, 6 blue marbles and 7 green marbles. If two marbles are
drawn out of the bag, what is the probability, to the nearest 1000th, that both
marbles drawn will be red?
Answers
Answer:.029
Step-by-step explanation:
The probability of the first being blue is 6/17, the second is 5/16 and the third is 4/15. Multiply these together to get the total probability:
6/17 x 5/16 x 4/15 = .029
ps: have a nice day :)
what indicates a vectors size
Answers
Answer:
Vector, in physics, a quantity that has both magnitude and direction. It is typically represented by an arrow whose direction is the same as that of the quantity and whose length is proportional to the quantity's magnitude.
Step-by-step explanation:
The model represents an equation.
What is the solution for this equation?
Answers
As the sides are balanced so there has to be 9 blocks on each side
Blair bought 3 1/6 pounds of nuts and 1 5/6 pounds of milk, what is total weight of the nuts and milk that Blair bought
Answers
Answer:
Step-by-step explanation:
3 [tex]\frac{1}{6}[/tex]
+ 1 [tex]\frac{5}{6}[/tex]
_______
4 [tex]\frac{6}{6}[/tex] = 5 pounds
[tex]\frac{6 }{6}[/tex] = 1 add this to the 4 and you have 5 pounds total
Describe a real-life situation involving markup, markdown, or discount that the equation y=x+0.4x could represent.
the retail price y in dollars for an item with the original cost and a markup of 40%
O the discount price y in dollars for an item with the original cost and a discount of 40%
O the sale price y in dollars of an item with the original cost and a markdown of 40%
O the discount amount y in dollars for an item with the original cost and a discount of 40%
Answers
The equation y = x + 0.4x is the retail price y in dollars for an item with the original cost and a markup of 40% .
What is equation ?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used.
y = x + 0.4x {markup ↑}y = x - 0.4x {markdown , discount ↓}y = 0.4xSo, we choose the first equation.
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which system of equations has only one solution
4x+2y=8 -4x-2y=3
Answers
Step by step
4x + 2y = 8
Arrange in y intercept form
2y = -4x + 8
Divide all by 2 to solve
y = -2x + 4
-4x -2y = 3
Arrange in y intercept form
2y = -4x -3
Divide all by 2 to solve
y = -2x -3/2
These equations have the same slope (2) with different y intercepts, so they are parallel lines. Parallel lines never intersect so there is no solution.
A machine makes 12 articles in half an hour.
How many articles will it make in 6 hours?
Answers
Answer:
144
I wish you luck in your assignments.
Answer: 144 articles
Step-by-step explanation:
If it makes 12 in half-hour, then 24 in an hour because 12*2 is 24.
then 24*6=144.
6th grade math help me please and thank you
What should I do FIRST to solve this problem?
5f - 7 = 23
divide by 5 on each side
subtract 7 from each side
subtract 23 from each side
add 7 to each side
Answers
Answer:
add 7 to both sides
then you are left with 5f=30
divide by 5 on both sides
you get f=6
Step-by-step explanation:
Someone please help me with this algebra
Answers
second answer: 112
i just followed the formulas given on the key
also pls give brainliest
7. The power of the expressions 2x is
Answers
Answer:
2x= 1
hope it is helpful to you
Jello someone please please help me
No links or files
Answers
Answer: question number 2 is A dot plot shows data with small sets of numbers and a histogram shows data with large sets of numbers
Step-by-step explanation:
Given both, find (f-g)(x)
Answers
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Functions.
Here, we are given with,
f(x) = 4x + 4 and g(x) = 5x - 8
hence, now we have time get (f-g) (x)
so we get as,
==> (f-g) (x) ==> f(x) - g(x)
===> 4x + 4 - (5x - 8)
==> 4x + 4 -5x +8
==> -x + 12
==> hence, 12 - x
so we get as,
(f-g) (x) ==> 12 - x
NEED HELP QUICK PLEASE
A line passes through the point (-8, -1) and has a slope of 3/4
Write an equation in slope-intercept form for this line.
Answers
Answer:
y = 3/4x + 5
Step-by-step explanation:
Slope intercept form is represented by the formula y = mx + b where m is the slope and b is the y-intercept. You were given the slope, but to write the equation, you also need the y-intercept.
First, plot the point they gave you (-8, -1) on a graph. Then use the rise over run of the slope (rise 3 and run 4) to find the next points until x = 0 (where the line crosses the y-axis). As you can see in the image, I plotted the points. 5 is the y-intercept because it is the y value on the line when x = 0.
So with the slope 3/4 and the y-intercept of 5, you can substitute the values and get your equation:
y = mx + b
y = (3/4)x + (5)
y = 3/4x + 5
A rental car company charges a fixed fee of $30 + 0.05 per mile. Let’s see represent the total cost of renting a car and driving a.m. miles right in equation that could be used to find the total cost of the renting car and driving it any number of miles
Answers
Answer:
C = $30 + $0.05M
Step-by-step explanation:
We know that renting the car will cost $30, regardless of whether you drive it any where or not
So far
C = $30
On the end of this equation, we want to be able to add another value, that can vary depending on the quantity of M (number of miles)
The second value is $0.05 multiplied by how many miles are travelled
Also expressed as $0.05M
Finally, just fix the two parts together
Answer:
Step-by-step explanation:
We know that renting the car will cost $30, regardless of whether you drive it any where or not
So far
C = $30
On the end of this equation, we want to be able to add another value, that can vary depending on the quantity of M (number of miles)
The second value is $0.05 multiplied by how many miles are travelled
Also expressed as $0.05M
Finally, just fix the two parts together
C = $30 + $0.05M
A reflection over a vertical line maps ΔJKL to ΔPQR. Which best compares the perimeters of ΔJKL and ΔPQR?
Answers
Answer:
The perimeters of ΔJKL and ΔPQR are equal
Step-by-step explanation:
Given
[tex]\triangle JKL[/tex] to [tex]\triangle PQR[/tex]
Reflection over a vertical line
Required
The perimeter of both triangles
When a shape is transformed to another through reflection, the side lengths and angle of both shapes will be the same.
Hence, the side lengths of ΔJKL and ΔPQR are the same
This means that the perimeter of both shapes will be the same
I don’t know I just need the answer
Answers
the 10th term of the arithmetic 5x + 6, 11x + 2, 17x - 2,
Answers
Answer:
t10 = 59x - 30
Step-by-step explanation:
a = 5x + 6
d = 11x + 2 - 5x - 6
d = 6x - 4
n = 10
tn = a + (n - 1)*d
t10 = 5x + 6 + (10 - 1) ( 6x - 4)
t10 = 5x + 6 + 9(6x - 4)
t10 = 5x + 6 + 54x - 36
t10 = 59x - 30
Check by finding the 3rd term
d = 6x - 4
n = 3
a = 5x + 6
t3 = 5x + 6 + (3-1)*(6x - 4)
t3 = 5x + 6 + 2(6x - 4)
t3 = 5x + 6 + 12x - 8
t3 = 17x - 2 which is exactly what it should be.
There is a line that includes the point (9,–8) and has a slope of –19. What is its equation in point-slope form?
Answers
Answer:
y +8 = -1/9(x -9)
Step-by-step explanation:
You want the point-slope form of the equation of the line through point (9, -8) with slope -1/9.
Point-slope formThe equation of the line through point (h, k) with slope m is ...
y -k = m(x -h)
You have (h, k) = (9, -8), and m = -1/9. Using these values, the equation is ...
y +8 = -1/9(x -9)
The diameter of the cylinder barrel was 20 in. When the barrel was lifted away it left an imprint of a circle on the ground. What is the area of the circle?
Answers
The area of the circle is 1256.64 square inches.
What is a Circle ?All points on a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
A closed 2D form that isn't a polygon is a circle. It has one face that curves.If two circles have the same radius, they are said to be congruent.Equal chords are always located equally from the circle's center.The center of the circle is the perpendicular bisector of a chord.The line joining the points of two overlapping circles will be perpendicular to the line joining the points of the circles' centers.The tangents drawn at the diameter's endpoints are perpendicular to one another.One of the most fundamental curvilinear geometric forms, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its basis in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.
The diameter of the cylindrical barrel is 20 in
So the diameter of the circular base is 20 in = 10 inches in radius.
Area of the circle = [tex]\pi\ r^{2}[/tex] = π*20*20 = 1256.64 square inches.
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What is the volume of a hemisphere with a radius of 3.8in, rounded to the nearest tenth of a cubic inch
Answers
Answer: [tex]114.9\ in.^3[/tex]
Step-by-step explanation:
Given
The radius of the hemisphere is [tex]r=3.8\ in.[/tex]
The volume of a hemisphere is given by
[tex]V=\dfrac{2}{3}\pi r^3[/tex]
Insert the value
[tex]V=\dfrac{2}{3}\pi \times (3.8)^3\\\\V=114.9\ in.^3[/tex]
Mr. boyd spent too much time on his speech and was late for the prom. He needs to be at the prom at 17:15 to help with the preparations. If he lives 20 km away and he leaves home at 16:40, what speed should he drive to get there on time. Allow him to park for 10 minutes and walk. Round your answer to the nearest kilometers per hour.
Answers
Answer:lll
Step-by-step explanation:
A rectangular prism and its dimensions are shown in the diagram.
26
6.5 in.
5 in.
7.5 in.
What is the total surface area of this prism in square inches?
Record your answer and fill in the bubbles on your answer document. Be sure to use the
correct place value.
Answers
Answer: 21
Step-by-step explanation: you add and subtract
Answer:
21
Step-by-step explanation:
Joseph has a standard deck of 52 playing cards. What is the probability that Joseph will draw a Jack then a Queen with replacement?
Answers
Answer: four out of 52 to pull a jack
Step-by-step explanation: