Answers
Answer:
a = 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a legb is another legc is the hypotenuseStep-by-step explanation:
Step 1: Identify
We are given a right triangle. We can use PT to solve for the missing length a.
Step 2: Define
hypotenuse c = 15
leg b = 9
leg a = ?
Step 3: Find missing length a
Substitute in variables: a² + 9² = 15²Isolate a term: a² = 15² - 9²Exponents: a² = 225 - 81Subtract: a² = 144Isolate a: a = ±12Since we are not dealing with a quadrant triangle, we can disregard the negative root of the quadratic.
∴ a = 12 is our final answer.
Related Questions
HELP!!
Select the correct answer.
Scientists studying biodiversity of amphibians in a rain forest have discovered that the number of species is decreasing by 2% per year. There are currently 74 species of amphibians in the rain forest. Which logarithmic function models the time, , in years, it will take the number of species to decrease to a value of n?
Answers
Answer:
Option A: f(x) = log_0.98 (n/74)
Step-by-step explanation:
We are told that that the number of species is decreasing by 2% per year.
Thus, number of species each year is 98% or 0.98 of number of species the previous year. .
We are told that there are currently 74 species of amphibians in the rain forest.
Thus, n/74 will represent a fraction of the current number of species.
Thus, the logarithmic function that models the time can be written as;
f(x) = log_0.98 (n/74)
Answer:
A. f(n) = log0.98(n/74)
(got it right on edmentum)
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What is the constant of proportionality for each situation below and what does it mean?
First y = 1.5x
Second:
y
= 7/4x
оа
Ob
First: 1.5 cups of flour per cup of sugar Second: 7/4 cups of flour per cup of sugar
First: 5 cups of flour per cup of sugar Second: 4 cups of flour per cup of sugar
First: 1 cups of flour per cup of sugar Second: 7.4 cups of flour per cup of sugar
Question 5 (2 points)
Answers
Answer:
What is the question tell me clearly.
Step-by-step explanation:
Which number is greater . 60 or 7.5
Answers
Answer:
60 is greater than 7.5.
step by step
Need a step by step explanation please,very confused!
Answers
First, you would subtract the x from both sides to get -4y=8-x. Then you divide by -4 to get y=-2+1/4x. You rearrange your answer to get y=1/4x-2. Then you would graph starting at negative two on the y-axis, or the vertical line, and then go up 1 and over 4 to draw the next dot. Hope this helps!
Answer:
this is it
Step-by-step explanation:
i hope it doesn't crop out and that it helps
Dorian decided his favorite food is Sour Patch Kids,and that was going to eat them every day.He eats 20 Sour Patch Kids in half a day. What is the constant of proportionality?
Answers
Answer:
The constant of proportionality is 40 sour patch kids per day
Step-by-step explanation:
Here, we want to find the constant of proportionality
From the question, we are told that he eats 20 sour patch kids in half a day
what this mean is that he will eat 20 * 2 = 40 sour patch kids in a day
The constant of proportionality is thus 40 sour patch kids per day
Help me out pleaseeeeee
Answers
Answer:
A
Step-by-step explanation:
LCM of 5 and 3 is 15
thus, denominator is 15
2/5 = 2x3/5x3 = 6/15
1/3 = 1x5/3x5 = 5/15
Witch graph represents the equation
-3x+4y=-12
Answers
Answer:
Of the ones you are showing us, C is the only answer with -4 being the y-int
Answer:
C is the correct graph
Step-by-step explanation:
The slope is 3/4
x l y
0 l -3
4 l 0
Please help i need submit it in 10 mins! show work! i will mark brainliest!
Answers
Answer:
C and D is the answer.
Step-by-step explanation:
If m∠5 = x°, according to the Corresponding Angle Theorem, m∠9 will equal the same, and because 9 and 12 are vertical angles, both of these will be the same measure.
Write an
equation for the line in the given form.
slope is -3 and (6,8) is on the line; standard form
Yo
Answers
Answer:
Step-by-step explanation:
Negative3 is6,8
Answer:
Negative3 is6,8
Step-by-step explanation:
i know it
Help plz:))) I’ll mark u brainliest
Answers
(Give me thanks ) :)
Find the slope of the line passing through the two points.
(12, 1), (36, 42)
Answers
Answer:
m=41/24
Step-by-step explanation:
The slope of the line passing through the points (12, 1), (36, 42) is m=41/24.
To find slope, we need to use the slope formula*.
42 - 1/36 -12 = 41/24
m = 41/24
Mandy divided a 5-pound bag of oranges into 12 equal piles. Which rational number represents the weight of the oranges in each pile? 1/5 5/12 2 1/6 2 2/5
Answers
Answer:
5/12
Step-by-step explanation:
Total pound of oranges = 5
Number of piles = 12
Weight of the oranges in each pile = Total pound of oranges / Number of piles
= 5 / 12
The rational number which represents the weight of the oranges in each pile is 5/12
Trigonometry ( help a girl out)
Resolving Vectors
Find the components of a car’s displacement if it travels 250 miles at an angle of 45 degrees north of west.
Answers
Answer:
4.587
Step-by-step explanation:
what is this?? i’ve been stuck on this for so long.
Answers
Answer:
i say ACD
Step-by-step explanation:
quadrilaterals are shapes with 4 sides.
parallelograms are shapes that have parallel sides.
Answer:
the answer is rhombus and rectangles
Step-by-step explanation:
Solve this problem 48-2(8+2)
Answers
Felicia ran a 4-mile race in 28 minutes. Complete the table to represent Felicia’s average rate of speed during the race.
Answers
Answer:
she runs an average 1mile every 7 minutes
Step-by-step explanation:
sorry if this does not help if this is not what u r looking for maybe clarify
hope this helps also i don't see where the chart is for the question
If a bird can fly 30 feet in 10 seconds, how far will it travel in 50 seconds?
Answers
Answer:
150 feet.
Step-by-step explanation:
50/10=5
30*5=150
The bird will fly 150 feet in 50 seconds.
Answer:
150 feet
Step-by-step explanation:
30x5=150
BrainlyMiddleSchool
-11 = -4/3 y
Please answer the question...
What is the value of y?
Answers
Answer:
8.25
Step-by-step explanation:
-11 = (-4/3) y
(-11)/(4/3) =y
∴ y = 8.25
(-2)^3=
Answers
Answer:
[tex]\left(-2\right)^3=-8[/tex]
Step-by-step explanation:
Given the expression
[tex](-2)^3[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}[/tex]
[tex]\left(-2\right)^3=-2^3[/tex]
[tex]=-2^3[/tex]
[tex]=-8[/tex] ∵ [tex]2^3=8[/tex]
Therefore,
[tex]\left(-2\right)^3=-8[/tex]
Given: m || CB Prove: m∠ABC + m∠BAC + m∠ACB = 180° A triangle and line are shown. Line m contains points X and Y. Triangle A B C sits on line M at point A. Line m and line segment B C are parallel. Which statement justifies that angle XAB is congruent to angle ABC? Corresponding angles of parallel lines cut by a transversal are congruent. Vertical angles are congruent. Same-side interior angles of parallel lines cut by a transversal are supplementary. Alternate interior angles of parallel lines cut by a transversal are congruent.
Answers
Answer: D, Alternate interior angles of parallel lines cut by a transversal are congruent
Step-by-step explanation:
Answer:
its D
Step-by-step explanation:
∆CDE is an isosceles triangle with CD ≅ DE . If CD = 9x – 25, DE = 6x + 8, and CE = 10x – 73, find x
Answers
Answer:Answer: The value of x is 11 and the measure of each sides are, 74 cm,74 cm and 37 cm. Explanation: It is given that in triangle CDE is an isosceles triangle with CD congruent to DE. If CD equals 9x - 25, DE equals 6X + 8, CE equals 10 x - 73.
Step-by-step explanation:
Answer:
x=11
Step-by-step explanation:
Is 7.165 a rational number?
Answers
Answer:
yes it is rational
Shawna is saving money to buy a new laptop. She starts her savings with $64. Each week, she adds another $17 to her savings. Graph the relationship that models the amount of money Shawna is saving. If her laptop costs $589, after how many weeks will she be able to afford the laptop?
Answers
Answer:
4 weeks
Step-by-step explanation:
Help!!! Thanks :))))))
Answers
Answer:
80
Step-by-step explanation:
180-60=120
120-40=80
- 9j + -11 = 61
What is this?
Answers
Answer:
j= - 8Step-by-step explanation:
- 9j + -11 = 61
-9j = 61 + 11
-9j = 72
j = - 8
What is the given point on the line of this equation y +2 = (1 - 3)2
Answers
Answer:
4
Step-by-step explanation:
Move numbers to right hand side
The rectangle below has an area of 12y^2+21y^512y 2 +21y 5 12, y, squared, plus, 21, y, start superscript, 5, end superscript. The width of the rectangle is equal to the greatest common monomial factor of 12y^212y 2 12, y, squared and 21y^521y 5 21, y, start superscript, 5, end superscript. What is the length and width of the rectangle? \text{Width} =Width=start text, W, i, d, t, h, end text, equals
Answers
Answer:
This means that the width = 3y²
The length = 4y+7y³
Step-by-step explanation:
Given
Area of the rectangle = 12y^2+21y^5
Width of the rectangle is the greatest common monomial of 12y^2 and 21y^5
First let us get the greatest common monomial of 12y^2 and 1^5
12y^2 = (3 * y * y) * 4
21y^5 = (3 * y*y)*y*y*y* 7
Hence the greatest common monomial is 3 * y * y = 3y²
Factor out 3y² from the area function;
12y^2+21y^5
3y² (4y+7y³) = Area of the rectangle
Length * Width = 3y² (4y+7y³)
On comparing both sides of the equation
This means that the width = 3y²
The length = 4y+7y³
Answer:
4y^2
Step-by-step explanation:
Which subtraction expression
has the difference 1 + 4i?
O (-2+ 6i) - (1 - 2i)
O (-2+ 6i) - (1 - 2i)
O (3 + 5i) - (2 - i)
O (3 + 5i) - (2 + i)
Answers
Answer: d, (3+5i)-(2+i)
Step-by-step explanation:
i’m smart
The subtraction expression that has the difference 1 + 4i is (3 + 5i) - (2 + i).
Option D is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can find the difference 1 + 4i by subtracting the complex numbers in each expression and checking which one gives us the result of 1 + 4i.
Let's start with option (a):
(-2 + 6i) - (1 - 2i) = -2 + 6i - 1 + 2i = -3 + 8i
This is not equal to 1 + 4i, so option (a) is not the correct answer.
Let's move on to option (b):
(-2 + 6i) - (1 - 2i) = -2 + 6i - 1 + 2i = -3 + 8i
We have already seen this expression and it is not equal to 1 + 4i. Therefore, option (b) is also not the correct answer.
Let's move on to option (c):
(3 + 5i) - (2 - i) = 3 + 5i - 2 + i = 1 + 6i
This is not equal to 1 + 4i, so option (c) is not the correct answer.
Finally, we have the option (d):
(3 + 5i) - (2 + i) = 3 + 5i - 2 - i = 1 + 4i
This is equal to 1 + 4i.
Thus,
The subtraction expression that has the difference 1 + 4i is (3 + 5i) - (2 + i).
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ7
What is the binary number for 15
Answers
Answer:
111
Step-by-step explanation:
notice that 1000 in binary is 16, as 1000 in binary would be 2^4 = 16. If you subtract 1 from 1000 in binary, you get 111.
If this helped please give brainliest.
x²-7=0 extracting square roots
Answers
Answer:
x = ± [tex]\sqrt{7}[/tex]
Step-by-step explanation:
Given
x² - 7 = 0 ( add 7 to both sides )
x² = 7 ( take the square root of both sides )
x = ± [tex]\sqrt{7}[/tex]