Answer:
0.43496 miles
Step-by-step explanation:
To convert from km to miles you can divide the km by 1.609 and that should give you an aproximate value for miles.
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.
. A rectangle's length is 1 feet shorter than 3 times its width. If we use w to
represent the rectangle's width, use a polynomial to represent the
rectangle's area in expanded form.
area =
square feet
Answer:
Step-by-step explanation:
w is the width of the rectangle, then the length would be 3w - 1.
A = lw
A = w(3w - 1)
A = 3w² - w
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.
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
Find the volume of the
rectangular prism below
Answer:
480Step-by-step explanation:
multiply all three values
x/2 + 4 < 18
What is the value of x?
And what does the point on the number line look like?
Someone help me
Answer:
28 hey hello how you doing the answer is 28
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 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
You deposited $700 in a savings account 4 years ago. The simple interest rate you earn is 4%. What is the amount of interest that you earned in those 4 years?
Answer: $112
Step-by-step explanation:
700x0.04=28x4=112
please help me do it
Write the equation of the line based on the given information explain the answer in slope intercept form
Answer:
y = 2/3 x - 3
Step-by-step explanation:
substitute the given slope and the coordinate into the slope-intercpet form:
y = mx + b to solve for b,
-1 = 2/3(3) + b
=> b = -3
y = 2/3 x - 3
please help me yall, Godbless.
Answer:
The rate of change or slope is 2
Step-by-step explanation:
Rise over run 2/1
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
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
Mia is working two summer jobs, making $11 per hour babysitting and making $20 per hour lifeguarding. In a given week, she can work a maximum of 15 total hours and must earn no less than $220. If x represents the number of hours babysitting and y represents the number of hours lifeguarding, write and solve a system of inequalities graphically and determine one possible solution.
Answer: 11x + 20y ≥ 220
x + y ≤ 15
Hope this helps
9514 1404 393
Answer:
x + y ≤ 1511x +20y ≥ 2203 hours babysitting and 11 hours lifeguardingStep-by-step explanation:
The two inequalities represent the two relations described in the problem statement.
x + y ≤ 15 . . . . . . . Mia works a maximum of 15 hours
11x + 20y ≥ 220 . . . . Mia makes at least $220
These are graphed in the attachment. The solution area is the doubly-shaded area with vertices at (9, 6), (0, 11) and (0, 15). One possible solution is shown at (3, 11), which represents ...
3 hours babysitting
11 hours lifeguarding . . . . . . . . total 14 hours for $253
what is the value of A and B (5x + b)(5x - b) = ax^2 - 49
Answer:
a=25
b=7
Step-by-step explanation:
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:
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.
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.
Solve the inequality for d
df+9h>2
Answer:
d=2_f - 9h_f
Step-by-step explanation:
es la segunda opción
HELP PLEASE!! WILL CROWN BRAINLIEST.....
On October 1, Gary’s bank balance was $130. During October, he made two
withdrawals and one deposit. At the end of the month, his bank balance was
$95. List two withdrawals and one deposit that would give this final balance.
Answer: i am not sure but thanks for the points have a good day
Step-by-step explanation:
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:
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.
Is 7n+6 equal to 13n?
Answer:
No
Step-by-step explanation:
Say n was equal to 2
7(2) + 6 =20
13(2) = 26
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
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
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’s the measure of angle B?
Answer:
60°
Step-by-step explanation:
∠B=(240-120)/2=120/2=60°
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]
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