Triangle M was dilated by a scale factor of 1.2 to form triangle M. How does the area of triangle M'
relate to the area of triangle M?
A- The area of triangle M'is 0.6 times the area of triangle M.
B- The area of triangle M'is 1.2 times the area of triangle M.
C- The area of triangle M'is 1.44 times the area of triangle M.
D- The area of triangle M' is 2.4 times than the area of triangle M.
Answer:
The area of triangle M is 1.44 times the area of triangle M.
Step-by-step explanation:
From Geometry we remember that the area formula of the triangle is:
[tex]A = \frac{1}{2}\cdot b\cdot h[/tex] (1)
Where:
[tex]b[/tex] - Base of the triangle, dimensionless.
[tex]h[/tex] - Height of the triangle, dimensionless.
[tex]A[/tex] - Area of the triangle, dimensionless.
The dillation of the triangle by a scale factor means that:
[tex]A' = \frac{1}{2}\cdot b'\cdot h'[/tex] (2)
[tex]b' = k\cdot b[/tex] (3)
[tex]h' = k\cdot h[/tex] (4)
Where:
[tex]b'[/tex] - Dilated base of the triangle, dimensionless.
[tex]h'[/tex] - Dilated height of the triangle, dimensionless.
[tex]A'[/tex] - Dilated area of the triangle, dimensionless.
[tex]k[/tex] - Dilation factor, dimensionless.
If we know that [tex]k = 1.2[/tex], then the area formula for the dilated triangle is:
[tex]A' = \frac{1}{2}\cdot (k\cdot b)\cdot (k\cdot h)[/tex]
[tex]A' = k^{2}\cdot \frac{1}{2}\cdot b\cdot h[/tex]
[tex]A' = k^{2}\cdot A[/tex]
Therefore, the area of triangle M is 1.44 times the area of triangle M.
Answer:
C- The area of triangle M'is 1.44 times the area of triangle M.
Step-by-step explanation:
1.44 divided by 1.2=1.2
how many times can 38 go into 192 using long division
Answer: 5.0526
Step-by-step explanation:
Step 1:
Start by setting it up with the divisor 38 on the left side and the dividend 192 on the right side like this:
3 8 ⟌ 1 9 2
Step 2:
The divisor (38) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:
0
3 8 ⟌ 1 9 2
Step 3:
Multiply the divisor by the result in the previous step (38 x 0 = 0) and write that answer below the dividend.
0
3 8 ⟌ 1 9 2
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.
0
3 8 ⟌ 1 9 2
- 0
1
Step 5:
Move down the 2nd digit of the dividend (9) like this:
0
3 8 ⟌ 1 9 2
- 0
1 9
Step 6:
The divisor (38) goes into the bottom number (19), 0 time(s). Therefore, put 0 on top:
0 0
3 8 ⟌ 1 9 2
- 0
1 9
Step 7:
Multiply the divisor by the result in the previous step (38 x 0 = 0) and write that answer at the bottom:
0 0
3 8 ⟌ 1 9 2
- 0
1 9
0
Step 8:
Subtract the result in the previous step from the number written above it. (19 - 0 = 19) and write the answer at the bottom.
0 0
3 8 ⟌ 1 9 2
- 0
1 9
- 0
1 9
Step 9:
Move down the last digit of the dividend (2) like this:
0 0
3 8 ⟌ 1 9 2
- 0
1 9
- 0
1 9 2
Step 10:
The divisor (38) goes into the bottom number (192), 5 time(s). Therefore put 5 on top:
0 0 5
3 8 ⟌ 1 9 2
- 0
1 9
- 0
1 9 2
Step 11:
Multiply the divisor by the result in the previous step (38 x 5 = 190) and write the answer at the bottom:
0 0 5
3 8 ⟌ 1 9 2
- 0
1 9
- 0
1 9 2
1 9 0
Step 12:
Subtract the result in the previous step from the number written above it. (192 - 190 = 2) and write the answer at the bottom.
0 0 5
3 8 ⟌ 1 9 2
- 0
1 9
- 0
1 9 2
- 1 9 0
2
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 192 divided by 38 calculated using Long Division is: 5.0526
f(x) = 2(x + 4)^2 (x - 2)
Answer:
3
Step-by-step explanation:
hope it helpz >-<
Partial products of 16 x 34
Answer:
544
Step-by-step explanation:
trust me math is easyyy
The required partial product is given as 340 + 204 = 544.
Given that,
To determine the partial product of the 16 × 34.
In mathematics, partial products are defined as multiplying each digit of one integer by each digit of another number while keeping each digit's place value.
here,
According to the question,
16 × 34 = [10 + 6] × 34
= [10 × 34 + 6 × 34]
= [340 + 204]
= 544
Thus, the required partial product is given as 340 + 204 = 544.
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Rafael calculated the foil as 1.8 × 10 to the 4th power units thick. Evaluate Rafael’s expression.
Tyreek Hill has scored 32 touchdowns in 59 games. If he continues at this rate, how many touchdowns will he score in the 2020 season where he plays 16 games? Write the equation.
Answer:
hi
Step-by-step explanation:
What is the value of this expression when t = -12?
-3|t − 8| + 1.5
A.
61.5
B.
13.5
C.
-10.5
D.
-58.5
i think it is c but i am not sure
Answer:
D
Step-by-step explanation:
I am sorry but I can not give you how I got thinms answer but i do know tgat the answer is correct
WILL GIVE BRAINIEST HELP ASAP
Question 6 Multiple Choice
Worth 1 points)
(03.06 LC)
Determine if the sequence is arithmetic or geometric, and find the common difference or ratio.
Х
1
2
3
4.
f(x) 81 72 63 54
Arithmetic, common difference = 9
Arithmetic, common difference = -9
Geometric, common ratio = 9
Geometric, common ratio = -9
Answer:
arthimetic 9
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
An electrician charges $50 for the first hour and $5.50 for each additional hour write an equation to represent the amount the electrician will earn when h represents the number of hours worked and t represents the total amount earned( in dollars)
the equation would be t=5.50(h)+50
what is an equation in point-slope form of the line that passes through the points (4, 5) and (-3, -1)???
Find the value of p in the equation, 0.25p-50=240
Answer:
p = 1160
Step-by-step explanation:
0.25p-50=240
0.25p = 240+50 (Transfer the 50 and isolate the p)
[tex]\frac{1}{4}[/tex]p = 290 (Changing the decimal to a fraction so it is easier to see)
[tex]\frac{4}{4}[/tex]p = 4×290 ([tex]\frac{1}{4}[/tex]×4 = [tex]\frac{4}{4}[/tex])
p = 1160
Answer:
p=1160
Step-by-step explanation:
Its's easy. If there ever is any number with a letter in the equation, you are most likely to divide that number. First, since 50 has a minus in front of it, you have to add that to the 50 in the equation AND the 240. When you do 50 plus the 50 in the equation it cancels out because -50+50 is 0 (you don't add the 0 to the equation because you are looking for p.) So, 240+50 is 290. Now, you have to divide 0.25 to the 0.25p AND the 290. 0.25 divided by 0.25p is 1, BUT you never put 1p you just put p because p is the same as 1. 290 divided by 0.25 is 1160. So your equation should look like p=1160
Sorry this took so long.
[tex]x^{-2} -4x^{-1} -3=0[/tex]
A shirt originally cost $53.17, but it is on sale for $42.54. What is the percentage decrease of the price of the shirt? If necessary, round to the nearest percent.
16%
20%
25%
80%
Answer:
Step-by-step explanation:
20%. 53.17 times .8 is 42.54 meaning there's a 20% decrease
Will the sign of the product of two negative numbers be negative or positive? Explain your answer.
A.
Cannot tell; the sign depends on the absolute values of the factors.
B.
Negative; if either of the factors is negative, their product is negative.
C.
Negative; if the signs of the two factors are the same, their product is negative.
D.
Positive; if the signs of the two factors are the same, their product is positive.
Answer:
D
Step-by-step explanation:
a negative times a negative equals a positive
Is it 48 or 51?
.
.
.
.
.
Answer:
51
Step-by-step explanation:
It on that number
Simplify the expression. 2.3h(6-k)
The graph below have the same shape what is the equation of the blue
17. Which two points on the number line represent a number and it’s absolute value
Answer:
The symbol for absolute value is two straight lines surrounding the number or expression for which you wish to indicate absolute value. |6| = 6 means the absolute value of 6 is 6. 6 is 6.
Step-by-step explanation:
Which ordered pair could be the missing values represented by (x, y)?
(0, 18)
(5, 19.5)
(8, 20)
(10, 21.5)
Answer: Option C
(C) (8, 20)
Step-by-step explanation:
The table shows ordered pairs of the function y = 16 + 0.5x .
A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 1, x, 10. The second column is labeled y with entries 14, 15, 16, 16.5, y, 21.
Which ordered pair could be the missing values represented by (x, y)?
(A) (0, 18)
(B) (5, 19.5)
(C) (8, 20) <========+100%
(D) (10, 21.5
Which regression model best fits the data set?
(2, 13), (4,8), (5, 7.5), (7,7)
A linear
B. quadratic
C. exponential growth
D. exponential decay
Answer: Quadratic Regression model best fits the data set.
Step-by-step explanation:
Answer:
Option (b) is the correct option.
What is Quadratic equation?
Any equation that can be transformed into standard form as follows is referred to as a quadratic equation in algebra (from the Latin quadratus, which means "square").Where x denotes an unknown and a, b, and c denote known values, respectively, with a 0, displaystyle ax2+bx+c=0 is used. Since there is no displaystyle ax2ax2 term, the equation is linear (if a = 0 and b 0) rather than quadratic.) The coefficients of the equation are the numbers a, b, and c, which can be separated by referring to them as the quadratic coefficient, linear coefficient, and constant or free term, respectively. As well as being referred to as the roots or zeros of the expression on the left-hand side of the equation, the values of x that satisfy it are known as solutions of the equation. There are only two possible answers to a quadratic equations The quadratic formula. The solutions are expressed in terms of a, b, and c by the expression sqrt b2 4ac 2a. There are numerous ways to obtain it, one of which is through completing the square.
Quadratic equation-based solutions to issues have been recognized since 2000 BC.The quadratic equation is referred to as "univariate" because there is just one unknown. The quadratic equation is a polynomial equation because all the powers of x that it contains are non-negative integers. Since the largest power is two, it is in particular a second-degree polynomial equation.
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i need help plz do each problem
Positive or negative exponents represesent very small numbers
Answer:
Negative exponents represent very very small numbers ( ex. .0000000006)
Step-by-step explanation:
can i get brainly?
10+1 22 or 3 n>12 what is the answer
Answer: um, you mean 10 + 122=132, the second one is n>4 if you want step by step look below:
Let's solve your inequality step-by-step.
3n>12
Step 1: Divide both sides by 3.
3n/3 > 12/3
n>4
You can use a numberline too.
What is 4,100 rounded to the nearest 100/hundred?
Answer:
4,000
Step-by-step explanation:
List the sides of each triangle in order form shortest to longest.
trust meeeeeeeeeeeeeeeeee
Step-by-step explanation:
1) 44°
2) 46°
3) 90°
Using the commutative property of multiplication, what is missing in the expression
Answer:
8x9
Step-by-step explanation:
tell me the lcm of 30 and 60
Answer:
60.
Step-by-step explanation:
I need help the answers that are there are
SSS
SAS
ASA
AAS
HL and
Not enough information
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Congruency of triangles,
since here, two sides with a in between angle is congruent, we will use the SAS congruency,
=> Side-Angle-Side congruency .
SAS.
Use a graphing calculator or online application to find the solution to to the nearest tenth.
The solution is approximately
Answer:
it would be 98%
Step-by-step explanation:
Diego makes green paint by mixing 10 tablespoons of yellow paint and 2 tablespoons of blue paint. Which of these mixtures produce the same shade of green paint as Diego’s mixture?
Select all that apply.
Group of answer choices
For every 5 tablespoons of blue paint, mix in 1 tablespoon of yellow paint.
Mix tablespoons of blue paint and yellow paint in the ratio 1:5.
Mix 11 tablespoons of yellow paint and 3 tablespoons of blue paint.
Mix tablespoons of yellow paint and blue paint in the ratio 15 to 3.
Answer: Mix 11 tablespoons of yellow paint and 3 tablespoons of blue paint.
The correct answer choices are For every 5 tablespoons of blue paint, mix in 1 tablespoon of yellow paint, Mix tablespoons of blue paint and yellow paint in the ratio 1:5 and Mix tablespoons of yellow paint and blue paint in the ratio 15 to 3.
What is ratio ?Ratio represents how much one quantity is present relative to the other quantity and written in simplest form.
According to the given question Diego makes green paint by mixing 10 tablespoons of yellow paint and 2 tablespoons of blue paint.
∴ For every 5 tablespoon of blue paint we have to mix 1 table spoon of yellow paint.
5 table spoon of blue paint = 1 table spoon of yellow paint.
This can also be written in ratio form as blue paint:yellow paint = 1:5.
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