the answer is b ............
Martin is dilating a blue triangle to create a yellow triangle. If he used a scale factor of
Which statement is true?
Answer
A
B
The perimeter of the yellow triangle will be 12/25 times the perimeter of the blue triangle.
The perimeter of the yellow triangle will be times the perimeter of the blue triangle.
The area of the yellow triangle will be times the area of the blue triangle.
С
D
The area of the yellow triangle will be
4
25
times the area of the blue triangle.
Previous
Answer:
See Explanation
Step-by-step explanation:
The question has missing details, as the scale factor is not given. However, I will give a general explanation on how to calculate the area and perimeter of a dilated shape (triangle).
The following assumptions, apply:
(1) Scale factor of 1/2 from the blue to the yellow triangle.
(2) The dimension of the blue triangle are:
[tex]Base = x[/tex]
[tex]Sides= y\ and\ z[/tex]
[tex]Height= h[/tex]
First, calculate the dimensions of the yellow triangle.
The dimension will be the product of the scale factor and the dimensions of the blue triangle.
So, we have:
[tex]Base = \frac{1}{2} * x = \frac{1}{2}x[/tex]
[tex]Sides = \frac{1}{2}y\ and\ \frac{1}{2}z[/tex]
[tex]Height = \frac{1}{2}h[/tex]
The perimeter of the blue triangle is:
[tex]P_1 =Base + Sides[/tex]
[tex]P_1 = x + y + z[/tex]
The perimeter of the yellow triangle is:
[tex]P_2 =Base + Sides[/tex]
[tex]P_2 = \frac{1}{2}x + \frac{1}{2}y + \frac{1}{2}z[/tex]
Factorize
[tex]P_2 = \frac{1}{2}[x + y + z][/tex]
Recall that: [tex]P_1 = x + y + z[/tex]
So:
[tex]P_2 = \frac{1}{2}*P_1[/tex]
This implies that the perimeter of the yellow triangle is a product of the scale factor and the perimeter of the blue triangle.
The area of the blue triangle is:
[tex]A_1 = \frac{1}{2}* Base * Height[/tex]
[tex]A_1 = \frac{1}{2} * x* h[/tex]
[tex]A_1 = \frac{1}{2} xh[/tex]
The area of the yellow triangle is:
[tex]A_2 = \frac{1}{2} * Base * Height[/tex]
[tex]A_2 = \frac{1}{2}* (\frac{1}{2}x) * (\frac{1}{2}h)[/tex]
Rewrite as:
[tex]A_2 = \frac{1}{2}* \frac{1}{2} [\frac{1}{2}x h][/tex]
[tex]A_2 = (\frac{1}{2})^2 *[\frac{1}{2}x h][/tex]
Recall that:[tex]A_1 = \frac{1}{2} xh[/tex]
So:
[tex]A_2 = (\frac{1}{2})^2 *A_1[/tex]
This implies that the area of the yellow triangle is a product of the square of the scale factor and the area of the blue triangle.
(5)
A plane contains the points A(1, 2, 8), B(-2, 3, 6), and C(5,-1, 4).
(a) Determine 2 vectors parallel to the plane.
(b) Determine 2 vectors perpendicular to the plane.
(C) Write a vector equation of the plane.
(d) Write a scalar equation of the plane.
(e) Determine if the point D(-7, 4, 0) is contained in the plane.
(f) Write an equation of the line through the y and z intercepts of the plane.
Answer:
7
Step-by-step explanation:
Two numbers have a sum of 49, and 4 TIMES the first number MINUS the second number is EQUAL to 141. What are the two numbers?
Answer:
I got 38 and 11
Step-by-step explanation:
A line segment has endpoints S(-9,-4) and T(6,5). Point R lies on ST such that the ratio of SR to RT is 2:1. What are the coordinates of point R?
Answer:
Coordinates of R = (1,2)
Step-by-step explanation:
Let the coordinate of R be (x, y)
Since coordinates of S and T are S(-9,-4) and T(6,5). Then we can use the Formula for length of line from coordinates to find coordinates of R since SR/RT = 2/1
Thus; 1(S) = 2(T)
Coordinates of R = [(1(-9) + 2(6))/(1 + 2)], [(1(-4) + 2(5))/(1 + 2)
Coordinates of R = (3/3), (6/3)
>> (1, 2)
please answer and explain and i’ll give brainliest
Step-by-step explanation:
I really want to help you but there's no question.
The starting salary of a starting teacher is $40,000, which will increase by 2% each year
What is the multiplier (growth factor) for this scenario?
1. .02
2. 1.02
3. 2
4. 1.2
Answer:
Choice B - (1.02)
Step-by-step explanation:
With the teachers starting salary being $40,000, we can rightfully assume that it their salary would not increase with Choice A, $40,000 * 0.2 = $800.
2% otherwise known as 0.02, would make the teachers yearly salary $40,000 * 1 + 0.02, or $40,000 * 1.02. Making the correct answer, Choice B - (1.02). (This would also give the teacher an additional $800 per year!)
i need help please thanks
Answer:
33
Step-by-step explanation:
6 * 3 = 18
8-3 = h
h = 5
A = 5 * 3 = 15
Combined:
15 + 18
33
a manufacturer is designing a new container for their chocolate-covered almonds. Their original container was a cylinder with the height of 18 cm and a diameter of 14 cm. the new container can be modeled by a rectangular prism with a square base and will contain the same amount of chocolate-covered almonds. if the new container's height is 16 cm, determine and state, to the nearest tenth of a centimeter, the side length of the new container if both containers contain the same amount of almonds
Answer:
answer is 24
Step-by-step explanation:
The side length of the rectangular prism with a square base is 13.2 cm if the original container was a cylinder with the height of 18 cm and a diameter of 14 cm.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
The radius of the cylinder r = 14/2 = 7 cm
The volume of the cylindrical container V = π(7)²(18) = 882π cubic cm
Let's suppose the side length is L:
Then the volume of the rectangular prism is the same as the cylindrical container:
882π = L×L×16 (h = 16 cm)
882π = 16L²
L = 13.15 ≈ 13.2 cm
Thus, the side length of the rectangular prism with a square base is 13.2 cm if the original container was a cylinder with the height of 18 cm and a diameter of 14 cm.
Learn more about the cylinder here:
brainly.com/question/3216899
#SPJ2
A box contains 12 cereal bars. The empty box weighs 1.75 oz. The box and cereal bars together weighs 18.55 oz. How much does each cereal bar weigh?
Answer:
Each cereal bar weighs 16.8 oz
Step-by-step explanation:
Multiply 12 times 1.4 to get 16.8
Add 16.8 and 1.75 to get 18.55
Hope this helps! Pls mark brainliest
Help pleaseeeeeeeeeeeeeeeeeee
3. The experimental probability that Cindy will catch a fly ball is equal to 3. About what percent of the time will 7 Cindy catch a fly ball?
Correct question:
The experimental probability that Cindy will catch a fly ball is equal to 3/7. About what percent of the time will Cindy catch a fly ball?
Answer:
42.9%
Step-by-step explanation:
Given that:
Experimental probability of catching a fly is 3/7
This can be interpreted as : Out of 7 tries, Cindy caught a fly only 3 times
Expressing this as a percentage :
3/7 * 100%
0.4285714 * 100%
42.857%
= 42.9%
Hence, Cindy will catch a fly at about 42.9% of the time
Statements apply to the expression 8^3 ?check all that apply
Answer: So, 8%3 = 2
Step-by-step explanation:
Help, help, help! Quick Answer, please!
Answer:
3. 102
4. c
Step-by-step explanation:
For number 3:
(c^2 - a) + b becomes (10^2 - 3) + 5
10^2 = 100
100 - 3 + 5 = 102
For number 4:
Usually when you see distributive property, you're multiplying into parentheses. This time you're factoring out.
20c - 8d
It's not a, because that would be 20c + 8d
It's not b, because that would be 20c -32d
It is c, because 4 x 5c = 20 c and 4 x -2d = -8d
It's not d, because that would be 20c- 8cd
The sixth grade art students are making a mosaic using tiles in the shape of triangles.Each tile Hans leg measures of 7cm and 4cm. If there are 84 tiles in the mosaic,what I sent the area of the mosaic
Answer:
1,176 square centimeters
Step-by-step explanation:
The computation of the area of the mosaic is shown below:
As we know that
The Area of the triangle is
= 1 ÷ 2 × base × height
= 1 ÷ 2 × 7 × 4
= 14
Now 1 tile would be 14 square centimeters
And, there are 84 tiles in the mosaic
So, the total area is
= 84 × 14
= 1,176 square centimeters
a whole number that is a factor of two or more numbers is called a
Answer: Common factor
common factor. a whole number that is a factor of two or more nonzero whole numbers
Step-by-step explanation:
[tex] \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}[/tex]
[tex] \: \: \: \red{ \boxed{ \boxed{ \huge{ \tt{ \: common \: factor \: }}}}}[/tex]
a whole number that is a factor of two or more numbers is called a common factor.Look at photo for the question and answer choices... NO LINKS OR BLANK ANSWERS
(also i added a cute/funny question aswell)
another needed question!: https://brainly.com/question/23040227
Answer:
Rhombus Square
Step-by-step explanation:
Mother put 22 apples in each basket. How many baskets did she use for 390 apples ?
Mhanifa can you please help me with this? It’s due ASAP! Look at the picture attached. I will mark brainliest!
Answer:
8) 76°9) 88°Step-by-step explanation:
Sum of exterior angles of any polygon is 360°Exercise 8Sum of given angles:
2x + 60° + 64° + 36° + 48° = 360°2x + 208° = 360°2x = 360° - 208°2x = 152°x = 76°Exercise 9Sum of given angles:
x + 90° + 109°+ 73° = 360°x + 272° = 360°x = 360° - 272°x = 88°Please help ASAP!
Find the area of the figure.
Number 5.
Answer:
70 ft squared
Step-by-step explanation:
Separate into rectangle and triangle then add the found areas together for total area.
rectangle...
10×4=40
triangle...
[tex] \frac{bh}{2} = [/tex]
(12×5)/2=
60/2=30
add area for rectangle and triangle...
40+30=70
plx help dont lie about the right answer
Answer:
c
Step-by-step explanation:
hi guys! i need help with this question 5.2 x 3/2
Answer:
7. 8 I think (typing more for the limit)
Answer:
7.8
Step-by-step explanation:
A trapezoid has angles 54 degrees, 54 degrees, x, and x. Look at the trapezoid shown. What is the measure of angle x? The measure of each angle x is 54° 90° 126° 252°
Answer: the answer is C 126°
Reduce: [(p → q)] ∧ q] ∧ [(q → p) ∧ p]
what? bro I am confused is this a question?
what divided by 3/7=7/15
Answer:
45/49
decimal form:
0.91836734
Step-by-step explanation:
Hang was trying to factor 10x^2 + 5x she found that the greatest common factor of these terms was 5x and made an area model what is the width of the area model
Width of Heng's area model is 2x + 1
Step-by-step explanation:
Given:
Greatest common factor is 5x
To Find:
The width = ?
Solution:
let the be the area
And 5x be the length
Then area = length x width
Now rewriting the formula for width, we get
Width =
Substituting the values in the above formula
Width =
Width = 2x + 1
What is the five- number summary of the following data set
52,53,55,59,60,64
Find the Volume. 5 1/2 x. 3 x 6 1/3
Answer:6
1/3
Step-by-step explanation:
Please answer^^ I will give you brainlist!
Yes 5th grade math :clown face:
Answer:
Venn is the circles and the tree is the green one (ignore the other thing on tree)
Tony borrows $7,000 from a friend
at a rate of 5% interest for 4 months.
What is the total that needs
to be repaid after this time
to the nearest dollar?
Answer:
5%100 ×R200
Step-by-step explanation:
Address and u the one for me please
PLSSSS HELP GIVING 5 POINTS PLUS BRAINLIEST
Which statement best completes the diagram? ? Countries in Oceania maintain good international relations. O A. Oceania's economies rely on trade. B. Oceania's territory is often invaded. O C. Oceania's populations are enormous. O D. Oceania's militaries are very strong.
Answer:
its c or a but i think its mostly a
Step-by-step explanation:
Answer:
The correct answer is A
Step-by-step explanation:
The Economy of Oceania largely depends on trade and tourism but trade specifically