Answers
Answer:
x = 2.5
Step-by-step explanation:
It is given based on the topic that these are similar right triangles. Note the placement of the right angles. The 2 and x are base, while the 7.5 and 6 are hypotenuses. There are a couple of ways you can set the equation, but in this case I will set it as [tex]\frac{base}{hypotenuse}[/tex]
Set the equation:
[tex]\frac{2}{6} = \frac{x}{7.5}[/tex]
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Multiply 6 and 7.5 to both sides of the equation:
[tex]7.5 * 6 * (\frac{2}{6}) = (\frac{x}{7.5}) * 6 * 7.5\\7.5 * 2 = x * 6[/tex]
Simplify. First, multiply, then isolate the x by dividing 6 from both sides:
[tex]7.5 * 2 = 6x\\15 = 6x\\\frac{15}{6} = \frac{6x}{6} \\x = \frac{15}{6} = 2.5[/tex]
Plug in 2.5 for x in the equation to see if the equation comes out true:
[tex]\frac{2}{6} = \frac{2.5}{7.5}\\[/tex]
Multiply 6 and 7.5 to both sides of the equation:
[tex]6 * 7.5 * \frac{2}{6} = \frac{2.5}{7.5} * 7.5 * 6\\7.5 * 2 = 2.5 * 6\\15 = 15[/tex](True)
~
2.5 is your answer for x.
~
Related Questions
Use the graph to answer the question.
On a coordinate plane, a line goes from (negative 5, 7) to (3, 3).
Which parametric equations describe the curve?
x = –t + 1 and y = 0.5t + 4 when –2 ≤ t ≤ 6
x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3
x = 0.5t + 4 and y = –t + 1 when –2 ≤ t ≤ 6
x = 0.5t + 4 and y = –t + 1 when –5 ≤ t ≤ 3
Answers
The answer for this question is A:
A = x = –t + 1 and y = 0.5t + 4 when –2 ≤ t ≤ 6
The parametric equations of the curve are:
x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3
Parametric equation of the line:The parametric equation of the line is, [tex]x=x_0+at,y=y_0+bt[/tex] where [tex](x_0,y_0)[/tex] is the point on the line and [tex]\frac{b}{a}[/tex] is the slope of the line with a, b are real numbers.
Slope of the line:If (a, b) and (c, d) are any two points on the line then, slope of the line is:
m = (d - b)/(c - a)
For given situation,
a line goes from (-5, 7) to (3, 3).
Using the formula of slope, the value of m i.e., slope of the line would be,
⇒ m = (7 - 3)/(-5 - 3)
⇒ m = 4/(-8)
⇒ m = 1/(-2)
⇒ m= 0.5/(-1)
Comparing with m = b/a,
b = 0.5 and a = -1.
From the graph of the line given below,
A point (1, 4) is also on the line.
Let [tex]\bold{(x_0,y_0)=(1,4)}[/tex]
Using the parametric equation of the line,
[tex]x=x_0+at[/tex]
⇒ x = 1 + (-1)t
⇒ x = -t + 1
and [tex]y = y_0+bt[/tex]
⇒ y = 4 + (0.5)t
⇒ y = 0.5t + 4
Therefore, the parametric equations of the curve are:
x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3
Learn more about the parametric equations here:
https://brainly.com/question/9056657
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Mr. Jones has fives eats on the school’s trip to Grand Canyon for his students. In how many different ways Mr. Jones can select a group of five from his class of 35?
Answers
Number of seats available for Mr. Jones had for the trip = 4
Number of students in his class = 36
Number of ways he can select a group of 4 out of 36 students from his class is calculated as follows:
=58,9,05
PLZ HELP ME HELP WITH THIS
Answers
9514 1404 393
Answer:
yes
Step-by-step explanation:
A negative exponent in the numerator is the same as a positive exponent in the denominator (and vice versa). So, the first two expressions are equivalent.
An exponent is an indication of repeated multiplication. So, the 2nd and 3rd expressions are equivalent.
Any product can be decomposed to a product of its factors. So, the last two expressions are equivalent.
All of the expressions are equivalent.
I’ll give points + brainalist for correct answer (:
Answers
Answer:
C) 2
Step-by-step explanation:
Emma: Range = 8
Arianna: Range = 6
The difference in the range is 2 (8-6)
Answer:
C) 2
Step-by-step explanation:
Emma:
Max = 20
Min = 12
Range = 20 - 12
Range = 8
Arianna:
Max = 18
Min = 12
Range = 18 - 12
Range = 6
Difference between the 2 ranges:
8 - 6 = 2
Need help with this
Answers
Janice is rolling a fair number cube that is numbered 1 - 6. Which statement is true?
Answers
Answer:
Where r the statements?
Step-by-step explanation:
How many shoes should Rick's Running Shoe Company produce in order to have a maximu
profit?
Answers
Answer:
15,000
Step-by-step explanation:
Someone help plsssss
What is the correct Order of Operations? What do you have to remember about
the Multiplication/Division & Addition/Subtraction Steps? (Total possible points =
10 points applied to Module 6) *
Your answer
Answers
Answer:
Step-by-step explanation:
First, we solve any operations inside of parentheses or brackets. Second, we solve any exponents. Third, we solve all multiplication and division from left to right. Fourth, we solve all addition and subtraction from left to right.
Without using a calculator, match each expression to the correct point.
Answers
Answer:
The locations of each irrational number are the following:
[tex]\sqrt{16}[/tex] - Point [tex]a[/tex]
[tex]\sqrt{27}[/tex] - Point [tex]b[/tex]
[tex]\sqrt{32}[/tex] - Point [tex]c[/tex]
Step-by-step explanation:
[tex]\sqrt{16}[/tex] is an irrational number that is also rational, since [tex]4^{2} = 16[/tex]. Then, [tex]\sqrt{16}[/tex] must be point [tex]a[/tex].
Both [tex]\sqrt{27}[/tex] and [tex]\sqrt{32}[/tex] are greater than [tex]\sqrt{25} = 5[/tex] and less than [tex]\sqrt{36} = 6[/tex]. Then, both are between 5 and 6. Since [tex]\sqrt{27} < \sqrt{32}[/tex], [tex]\sqrt{27}[/tex] must be point [tex]b[/tex] and [tex]\sqrt{32}[/tex] must be point [tex]c[/tex].
ILL GIVE BRAINLEST, find the value of x
Answers
Answer:
in my panies
Step-by-step explanation:
In a raffle, 200 tickets are sold.
The tickets are either red or blue.
The winning ticket is picked at random.
(a)
What is the probability that the winning ticket is green?
Answers
Answer:
0%
Step-by-step explanation:
Answer:
there is a zero percent chance that the winning ticket will be green if all of the tickets are either red or blue
What is the volume of the rectangular prism?
Answers
Evaluate the following expression.
6^-3
Answers
Answer:
.0046, if you mean the -3 to be an exponent
Step-by-step explanation:
Answer:
[tex]\frac{1}{216}[/tex]
Step-by-step explanation:
If you have any questions feel free to ask in the comments
Math Homework please help!
Answers
Answer:
the answer is (B)
Step-by-step explanation:
brainleist please
Which of the following is a ray as shown in the drawing?
Answers
please guys help me please
Answers
Answer:
C
Step-by-step explanation:
Plzz help me!!!
I will give you brainliest
Which statement is TRUE?
A)
The perimeter of the green rectangle is equal to the circumference of the
black circle.
B)
The perimeter of the green rectangle is less than the circumference of the
black circle.
C)
The perimeter of the green rectangle is greater than the circumference of
the black circle.
D)
The perimeter of the green rectangle exactly half of the circumference of
the black circle.
Answers
Answer:
Can you add a picture or visual model if there is one?
Step-by-step explanation:
Find the value of x in the triangle below.
Answers
Answer:
Can't be Solved
Step-by-step explanation:
tan x = opp/adj
tan x = 23/11
tan x = 2.09090909 which is about
tan x = 2.09
x = 64.4 degrees which is the tangent of 2.09 in degrees.
x = 64.4 degrees
This is the only way to solve, since no answer is equivalent it can't be solved.
Element X is a radioactive isotope such that every 13 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 520 grams, write a function showing the mass of the sample remaining after tt years, where the annual decay rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of decay per year, to the nearest hundredth of a percent.
Answers
Answer:
The percentage rate of decay per year is of 5.19%.
The function showing the mass of the sample remaining after t is [tex]A(t) = 520(0.9481)^t[/tex]
Step-by-step explanation:
Exponential equation of decay:
The exponential equation for the amount of a substance is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
Every 13 years, its mass decreases by half.
This means that [tex]A(13) = 0.5A(0)[/tex]. We use this to find r. So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]0.5A(0) = A(0)(1-r)^{13}[/tex]
[tex](1-r)^{13} = 0.5[/tex]
[tex]\sqrt[13]{(1-r)^{13}} = \sqrt[13]{0.5}[/tex]
[tex]1 - r = (0.5)^\frac{1}{13}[/tex]
[tex]1 - r = 0.9481[/tex]
[tex]r = 1 - 0.9481[/tex]
[tex]r = 0.0519[/tex]
The percentage rate of decay per year is of 5.19%.
The initial mass of a sample of Element X is 520 grams
This means that [tex]A(0) = 520[/tex]. So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]A(t) = 520(1-0.0519)^t[/tex]
[tex]A(t) = 520(0.9481)^t[/tex]
The function showing the mass of the sample remaining after t is [tex]A(t) = 520(0.9481)^t[/tex]
Sam and you are going to paint your room together.
Sam takes 10 minutes to paint 25 square feet.
It takes you 5 minutes to paint 25 square feet.
Sam says, "If we paint together, then it will take 15 minutes for us to cover
feet."
TI
of
Give an explanation to convince Sam that she is incorrect.
.
Answers
Answer:
Sam is incorrect because you would not add the two times together. Hence there being 2 people working it would take you guys less time. You would actually subtract the times to get 5 minutes
Step-by-step explanation:
Answer:
Sam 's thinking is incorrect.
Step-by-step explanation:
Because If Sam takes 10 minutes to paint 25 square feet, then 5 minutes will be paint 12.5 sf... So if 15 minutes will paint 37.5 square feet. (by Sam)
---For me: if 5 mutes to paint 25 square feet.--->10 minutes will be 50 sf---> then 15 minutes will paint 75 square feet...
So If Same and I paint together will be 12.5 + 75 = 112.5 square feet
---Not 50 square feet...
What Sam says is incorrect....He can't add times together., that' s wrong.
Michael is debating the two job offers below. Determine which will result in a higher income.
OFFER A
$34,500 ANNUALLY
OFFER B
$2,885 MONTHLY
Answers
B
Step-by-step explanation:
In a year, offer B would be more. Since annually is once a year and there are 12 months in a year, multiplying B by 12 would get each to a year.
A large pizza has a radius of 7 in. The pizza is cut into 8 slices of equal size. What is the area of 1 slice, rounded to the nearest whole number? Use 3.14 for π.
Answers
Answer:
The area of 1 slice is of 19 square inches.
Step-by-step explanation:
Area of a circle:
The area of a circle of radius r is given by:
[tex]A = \pi r^2[/tex]
A large pizza has a radius of 7 in.
So its area of the pizza, in square inches, is of:
[tex]A = \pi(7)^2 = 49\pi = 49*3.14 = 153.86[/tex]
The pizza is cut into 8 slices of equal size. What is the area of 1 slice, rounded to the nearest whole number?
Area of the pizza divided by 8. So
153.86/8 = 19.2
Rounding to the nearest whole number, the area of 1 slice is of 19 square inches.
How many times greater is the value of the 4 in 900,400 than the value of the 4 in 900,040 please help me faster!
Answers
Answer:
10 times plz mark brainliest
Answer:
10
Step-by-step explanation:
10×10=100. TRUST ME I DID THE MATH
i need help with this pls 9.1k=63.7
Answers
Answer:
k = 7
Step-by-step explanation:
63 ÷ 9 = 7
Solve for x.
x = [?]
4x - 2/3x 14
Answers
Answer:
x = 24
Step-by-step explanation:
Your mouse is hovering over a key part of the equation, but it looks like a plus symbol to me so I will go with that.
(4x-2) + (3x + 14) = 180 (Add 2 to 180, and subtract 14 from 180.
4x + 3x = 180 + 2 - 14
7x = 168
x = 24
The average weight of a female hippopotamus is 1½ tons. How many pounds is this?
Answers
Answer:
3000 pounds
Step-by-step explanation:
Since there are 2000 pounds in a ton, find how many pounds there are by multiplying 1.5 by 2000
1.5(2000)
= 3000
So, this is 3000 pounds
You did 5 trials of push-ups in a minute with the following results:
23, 22, 23, 40, 24
If you want your personal mean to be 28, how many push-ups do you need to do on your skith trial?
Answers
Answer:
36 push-ups on your sixth trial
I would appreciate Brainliest, but no worries.
mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmoby max pls help
Answers
Answer:
5/4 or 1 1/4 or 1.25
Step-by-step explanation:
Help meeeeeeeee PLEASE
Answers
Answer:
173250 squared yards is the answer I believe.
Step-by-step explanation:
I really hope this helps! Have a great day!
Hi answer as fast as you
Answers
it just says hi answer as fast as you where is the question