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.
Can someone help me with this. Will Mark brainliest.
Answer:
[tex]\sqrt{53}[/tex]
Step-by-step explanation:
Use the data from the dot plot below to answer the question.
How many students from this data sample have three siblings?
A. Three students have three siblings
B. One student has three siblings
C. Four students have three siblings
D. Two students have three siblings
please help me yall, Godbless.
Answer:
The rate of change or slope is 2
Step-by-step explanation:
Rise over run 2/1
20. An airport, a factory, and a shopping center are at the vertices of a right triangle formed by three highways. The airport and factory are 6.0 miles apart. Their distances from the shopping center are 3.6 miles and 4.8 miles, respectively. A service road will be constructed from the shopping center to the highway that connects the airport and factory. What is the shortest possible length for the service road? Round to the nearest hundredth
Answer:
2.88 mi
Step-by-step explanation:
is 700 yards bigger then 2000 feet?
Answer:
Yes, 700 yards bigger than 2000 feet because 700 yards = 2100 feet
Step-by-step explanation:
There are 3 feet in a yard, so that means we need to multiply 700 yards by 3 to get the number of feet there are in 700 yards.
700 yards × 3 feet = 2100 feet
700 yards = 2100 feet
2100 feet > 2000 feet
Answer:
Yes!
Step-by-step explanation:
700 yards is equal to 2100 feet, making it 100 feet longer.
A principal was buying T-shirts for his school's chess club and found that the total cost
in dollars could be found by the function f(x) = 9x + 19, where x is the number of
members in the club. If there are at least 8 members on the team but not more than
11, then which of the following statements describes the function?
A. The value of x must be a whole number between 8 and 11 and the value of f(x) must
be a whole number between 72 and 99.
B. The value of x must be a whole number between 8 and 11 and the value of f(x) must
be a whole number between 91 and 118.
C. The values of x and f(x) must both be whole numbers between 91 and 118.
D. The values of x and f(x) must both be whole numbers between 9 and 19.
Find the interest earned if you place $76.43 into an account that pays 21.5% simple interest, and leave it in for 3 years.
A = $125.73
I = A - P = $49.30
hey!
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 21.5%/100 = 0.215 per year.
Solving our equation:
A = 76.43(1 + (0.215 × 3)) = 125.72735
A = $125.73
The total amount accrued, principal plus interest, from simple interest on a principal of $76.43 at a rate of 21.5% per year for 3 years is $125.73.
------------------------
hope i helped in some way! keep pushing you got this
Jennifer painted a tabletop that is shaped like a circle. the circumference of the tabletop is 6π. Which measurement is closest to the area of the tabletop in square feet?
28.26 sq. Ft is the area of the table top
Please help meee! I will give brainleiest!
Answer:
64? I'm not sure but because if 1= girls (8 girls) and boys is 8 times more you do 8x8 I think sorry if I'm wrong
Answer:
There are 64 boys
Step-by-step explanation:
If there are 8 girls it would be 8*1
so you would have to multiply 8 by the ratio of boys which is 8*8
which equals 64 boys to 8 girls (8:1)
Your welcome
What is the value of 4/15 ➗ 2/3?
Answer:
2/5, option 4.
Step-by-step explanation:
When you are dividing 2 fractions, the first fraction stays the same, and the 2nd fraction becomes the reciprocal, and the division sign becomes a multiplication sign.
The reciprocal of 2/3 is 3/2.
Now you need to change the division sign to a multiplication sign.
The equation will now become 4/15 x 3/2.
4 times 3 is 12, and 15 times 2 is 30.
12/30 isn't an option, so you will need to simplify.
Find a common factor, then divide.
6 is a common factor, so you divide both 12 and 30 by 6, to get 2 and 5.
2/5 is what you are left with.
Option 4.
4/15 divided by 2/3 is 2/5.
Answer:
hi
Step-by-step explanation:
[tex] \frac{4}{15} \div \frac{2}{3} = \frac{4}{15} \times \frac{3}{2} = \frac{2}{5} [/tex]
have a nice day
Find the unit rate for each, then compare. Which is faster?
8 laps in 70 seconds
12 laps in 98 seconds.
Answer:
8 laps in 70 seconds is faster.
Step-by-step explanation:
If we divide 70/8 and 98/12 we get the following:
70/8= 8.75
98/12=8.16
8.75>8.16
The unit rate is 1 lap in 8.75 seconds and 1 lap in 8.16 seconds
The temperature at sunrise is 40°F. Each hour, the temperature rises 4°F. Write an equation that models the temperature y, in degrees Fahrenheit, after x hours. What is the graph of the equation?
Write an equation that models the temperature y, in degrees Fahrenheit, after x hours.
Answer:
y = 4x + 40
Step-by-step explanation:
At sunrise, 0 hours have passed, meaning x = 0.
When x = 0, the temperature is 40, meaning that 40 is the y-intercept.
And every x hours the temperature rises by 4 degrees F
Simplify This.
15x+3-14x+4
Answer:
You just have to combine like terms to get the most simplified v erosion of this equation.
The final simplifed answer would be
x+7
Step-by-step explanation:
Well just add everything up.
15x-14x=x
3+4=7
Combine
x+7
what is the value of A and B (5x + b)(5x - b) = ax^2 - 49
Answer:
a=25
b=7
Step-by-step explanation:
Someone please help me please
Answer:
Step-by-step explanation:
12 boxes of hay
Answer:48 bunches of hay
Step-by-step explanation:4 hunches for $9, therefore 108/9=12 and 4x12=48 bunches of hay
3. In chemistry, Isaac can mix the correct solution in 20 minutes. Together,
Isaac and Newton can mix the same solution in 11 minutes. How long
does it take Newton to mix the solution when he is working alone
How high is the hands of the superhero balloon above the ground? The hand is ____ feet above the ground.
Answer:
61 ft
Step-by-step explanation:
since it's equal
u look cute in that pfp
HELP MATH ASAP! I GIVE BRAINLIEST
Solve the inequality for d
df+9h>2
Answer:
d=2_f - 9h_f
Step-by-step explanation:
es la segunda opción
A coastline recedes at a rate of 3cm per year. How much of the coastline dissappears after 4 years?
Answer:
12 cm of coastline
Step-by-step explanation:
Multiply the years (factor) by the receding amount, 3cm, (constant) BAM answer.
Find the correlation coefficient between x and y
X 57 58 59 59 60 61 62 64
Y 77 78 75 78 82 82 79 81
Answer:
0.603
Step-by-step explanation:
Given the data:
X 57 58 59 59 60 61 62 64
Y 77 78 75 78 82 82 79 81
The Correlation Coefficient, R value gives a measure of the degree of correlation between two variables, the dependent and independent variable. The correlation Coefficient value ranges from - 1 to 1. With negative values depicting a negative relationship and positive values meaning a positive relationship. The closer the R value is to + or - 1, the higher the strength of the relationship. With a value of 0 meaning 'no correlation'.
The correlation Coefficient value of the data above is 0.603, this gives a fairly strong positive correlation
The answers are:
5
10
35
55
please help
Answer:
35.
Step-by-step explanation:
can i get brainliesttt
jus solved it.
please help :c
Angela bought a total of 3 dozen cookies for Easter. Each cookie was 0.65 (INCLUDING TAX!) Of the cookies, 3/4 of them were shaped like Easter eggs. What was the cost of the Easter egg shaped cookies?
please add the work along with the question
Answer: $17.55
Step-by-step explanation:
36 x 0.65 = $23.40 total for all cookies
($23.40/1) x (3/4) = (70.2/4)
70.2 divided by 4 = $17.55
or
$23.40 x .75 = $17.55
please help me do it
Find the volume of the
rectangular prism below
Answer:
480Step-by-step explanation:
multiply all three values
OMG PLS HELP WITH THIS IM PANICKING OMG I GOT A F IN MATH MY MOM JUST YELLED AT ME IM CRYING PLS HELP WITH THS- PLSS TELL ME WHAT TO DRAW
Answer:
Step-by-step explanation:
Answer:
13107 employees
A. The picture
B. 10,972 + 2,135 = n
13107 = n
Step-by-step explanation:
10,972 + 2,135 = 13107
What should be drawn is in the photo.
What are closing costs and how do you calculate closing costs?
Answer:
Closing costs are fees paid at the closing of a real estate transaction. Typically home owners will pay between 2 to 5 percent of the purchase price of their home in closing fees. So, if your home cost $150,000, you might pay between $3,000-$7,000 in closing costs.
What is the sample space for choosing a letter of the alphabet that is a vowel?
Answer:
The letter is choose from set of vowels i.e. {a, e , i , o, u}.
Step-by-step explanation:
Can someone help me in proving theorems in square pleasee ASAP
Step-by-step explanation:
[tex]90 = 4x - 6 \\ 96 = 4x \\ x = 24[/tex]
[tex]2x - 8 = \\ = 48 - 8 = \\ = 40[/tex]