True
The three internal angles of a 3-4-5 right triangle are 36.87 °, 53.13 °, and 90 °. As a result, a 3 4 5 right triangle is a scalene triangle since the lengths and internal angles of all three sides differ.
Remember that a 3-4-5 triangle does not necessarily imply that the ratios are 3: 4: 5; it might be any common component of these numbers. A 3-4-5 triangle, for example, can alternatively adopt the following shapes:
They can have varying dimensions, but the 3-4-5 right triangle is the most popular.
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Ileana received a statement on her Certificate of Deposit showing that her investment had returned $ 2500 over its life. If the Certificate of Deposit pays a simple interest rate of 5 % and her initial investment was $ 10,000, how long had the money been invested?
Select one:
a. 5 years
b. 9 months
c. 2.6 months
d. 4.2 years
selena has developed A function that models the amount of time it will take to feel like concert hall as a function of the number of people who are attending a show at the hall
Sorry I do not know what your asking
Which sequence of transformations was applied to the parent tangent function to create the function m(x) = 2tan(3x+4)
The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.
To determine the sequence of transformations, let's break down the given function:
1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.
2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.
3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.
4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.
5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.
In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.
Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.
After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)
This example helps illustrate the effect of the transformations on the graph of the function.
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if a tree is 105 metres tall in real life what would be the height of the diagram of the tree if the scale was 1: 1000
Answer:
1.05
Step-by-step explanation:
it is 105 divided by 1000
Answer:
0.105 metres
Step-by-step explanation:
105 divided by 1000
The two lines graphed on the coordinate grid each represent an equation. (-2, 6) (3,5) (-6, 2) (-6, -6) Which ordered pair represents a solution to both equations?
Answer:
(-3,3)
Step-by-step explanation:
because it's where the graphs intersect, meaning the point is contained in both solutions
Points D, E, and F are on circle C and EF ≅ DF.
What is the measure of ∠CDF?
14°
19°
26°
38°
Please explain, I want to know how to get the answer.
Answer:its 1.4>1.3
Step-by-step explanation:I THINK ITS 1.4>1.3
PLEASE HELP ITS DUE HELP
Show
Substitution
Decomposition
simplifying by order of operations
When 'n' is substituted into the expression, the simplification of the above polynomial would be = 12
Calculation using substitution methodThe given expression is ;
n²-3n + 8
Given that n = 4
Substitute 4 into the equation,
= 4²-3(4) + 8
= 16 - 12 + 8
= 16- 4
= 12
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cuanto es 1 mas 1? dende ecuaciones y detalles es para mi examen virtual please
Answer:
2
Step-by-step explanation:
1+1=2
Please see my question in the attachment, thanks!
The limit of the function As x → - ∞, f(x) → 2.
What is the limit of a function?The limit of a function is the value the function tends to as the independent variable tends to a given value.
Given the graph of the function above, to find the limit of the function As x → -∞, f(x) →? We proceed as follows
Looking at the graph, we see that f(x) has a horizontal asymptote at y = 2. Now, we see that As x → -∞, f(x) approaches 2.
So, As x → - ∞, f(x) → 2.
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Write the percent as a fraction in simplest form.
5%
Answer:
To convert a percentage to fractions: Percent means per hundred so say 5% is the same as 5/100 58% is like saying 58/100 or simplified 29/50
Step-by-step explanation:
Answer:
Just remeber Percent means"per hundred" so the answer woud
be 1/20 :) Hope this helps!!!!!!!
because 5% is the same as 5/100.
Step-by-step explanation:
please help must equal 180
Solve for x.
x = [?]
2x + 9
8x + 1
Write the comparison using <, >, or =.
Z 3 pounds
32 ounces
14 pounds
40 ounces
1,000 pounds
1 ton
4,000 pounds
1 pound and 5 ounces
1.5 pounds
2 tons
28 ounces
25 ounces
3 pounds 32 ounces < 14 pounds 40 ounces
1,000 pounds = 1 ton
1 pound and 5 ounces < 1.5 pounds
2 tons = 4,000 pounds
28 ounces > 25 ounces
What are the values in the compared weights?The comparison of the values of the given weights is as follows:
3 pounds 32 ounces < 14 pounds 40 ounces
This is because there are fewer pounds and ounces in 3 pounds 32 ounces compared to 14 pounds 40 ounces.
1,000 pounds = 1 ton
This is because 1,000 pounds is equal to 1 ton.
1 pound and 5 ounces < 1.5 pounds
This is because 1 pound and 5 ounces is less than 1.5 pounds.
2 tons = 4,000 pounds
This is because 2 tons is equal to 4,000 pounds.
28 ounces > 25 ounces
This is because 28 ounces is greater than 25 ounces.
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Complete question:
Write the comparison using <, >, or =.
3 pounds 32 ounces vs 14 pounds 40 ounces
1,000 pounds vs 1 ton
1 pound and 5 ounces vs 1.5 pounds
2 tons vs 4,000 pounds
28 ounces vs 25 ounces
Write an inequality to describe the region. The solid upper hemisphere of the sphere of radius 5 centered at the origin
Answer:
\(x^2 + y^2 + z^2 \le 25\) for \(z \ge 0\)
Step-by-step explanation:
Given
\(r = 5\) --- radius
Required
Determine the inequality of the region
The inequality of a region of a sphere is determined using:
\(x^2 + y^2 + z^2 \le r^2\)
Substitute 5 for r
\(x^2 + y^2 + z^2 \le 5^2\)
\(x^2 + y^2 + z^2 \le 25\)
Solving further: The question says only the upper hemisphere is considered.
This implies that:
\(z \ge 0\)
So, the equation is:
\(x^2 + y^2 + z^2 \le 25\)
\(z \ge 0\)
I WILL GIVE BRAINLIEST! ALSO KEEP AWARE!
Answer:
Step-by-step explanation:
An equation y = kx represent a proportional relation and k = \(\frac{y}{x}\)
⊕ Yes, the constant of proportionality is 3.5
Please someone help me ASAP
Answer:
A
Step-by-step explanation:
FV=PV(1+i)^t
2500(1+.03)^4
A
Answer:
A
Step-by-step explanation:
It is the only one that shows 3% = 0.03 which is correct.
A book shelf is 1 m wide. Joe wants to place a set of books across the shelf. He has 20 books. Each book is 5.2 cm wide. Will he have enough space for all the books?
Answer:
Only 19 books
Step-by-step explanation:
1m=100cm
1 book attains 5.2cm
x books attain 100cm
Do cross multiplication and then u will get answer as 19.23
books can't be in decimals
So answer is 19 books
Please help urgent thank you math helpers
You would need approximately 225 mL of the 70% alcohol mixture to obtain the desired 55% solution.
To find out how much of the 70% alcohol mixture you need to obtain a 55% solution, we can set up an equation based on the principle of mixing concentrations.
Let's assume you need "x" mL of the 70% alcohol mixture.
First, we'll determine the amount of alcohol in the 10% alcohol mixture:
Alcohol in 10% mixture = 10% of 75 mL
= (10/100) × 75 mL
= 7.5 mL
Next, we'll determine the total amount of alcohol in the desired 55% solution:
Alcohol in 55% solution = 55% of (75 mL + x mL)
We want the amount of alcohol in the 55% solution to be equal to the sum of the alcohol in the 10% mixture and the alcohol in the x mL of the 70% mixture.
Therefore, we can set up the equation:
Alcohol in 55% solution = Alcohol in 10% mixture + Alcohol in 70% mixture
55% of (75 mL + x mL) = 7.5 mL + 0.7x mL
Now, let's solve for "x" to find the amount of the 70% alcohol mixture needed:
0.55 × (75 mL + x mL) = 7.5 mL + 0.7x mL
41.25 mL + 0.55x mL = 7.5 mL + 0.7x mL
0.55x mL - 0.7x mL = 7.5 mL - 41.25 mL
-0.15x mL = -33.75 mL
x mL = (-33.75 mL) / (-0.15)
x mL ≈ 225 mL
Therefore, you would need approximately 225 mL of the 70% alcohol mixture to obtain the desired 55% solution.
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Enter the number that belongs in the green box
The angle measure that belongs in the green box is given as follows:
70.67º.
What is the law of sines?We consider a triangle with side lengths and angles related as follows, as is the case for this problem:
Side length of a is opposite to angle A.Side length of b is opposite to angle B.Side length of c is opposite to angle C.Then the lengths and the sines of the angles are related as follows:
sin(A)/a = sin(B)/b = sin(C)/c.
The relation for this problem is given as follows:
sin(x)/12 = sin(76º)/12.34
Applying cross multiplication, the missing angle measure is given as follows:
sin(x) = 12 x sine of 76 degrees/12.34
sin(x) = 0.9436.
x = arcsin(0.9436)
x = 70.67º.
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Find the y-intercept for the parabola defined by
this equation:
y=-4x^2-x+3
Answer:
y is 0,3
Step-by-step explanation:
To find the x-intercept, substitute in
0
for
y
and solve for
x
. To find the y-intercept, substitute in
0
for
x
Answer:
(0,3)
Step-by-step explanation:
Two methods:
Method 1: General method for any equation
Method 2: Method specific for parabolas in standard form
Method 1: General method for any equation
For any two-variable equation to be graphed, the y-intercept is the point where the graph crosses the y-axis. The y-axis is a vertical line through the origin (0,0).
Any y-intercept is on that line, and to get to that point starting from the origin, one can't travel left or right to get to the y-intercept point (without moving back to the y-axis). The only movement would be up or down.
Since no left-right movement will happen, the x-coordinate is zero.
For any two-variable equation, the x and y coordinates of any point on the graph are linked by the equation. If it is known that the x-value is zero, the y-value associated with that x-value is given by substituting zero into the equation everywhere there is an "x", and solving for "y".
\(y=-4x^2-x+3\)
\(y=-4(0)^2-(0)+3\)
Order of operations requires exponents before multiplication, or addition & subtraction...
\(y=-4(0)-(0)+3\)
multiplication...
\(y=0-0+3\)
addition & subtraction, from left to right...
\(y=3\)
So, when the x-value is zero, the y-value is three. Therefore, the ordered pair representing that point is (0,3).
Method 2: Method specific for parabolas in standard form
The given equation is the equation for a parabola (as stated in the question), and it is given in "standard form": \(y=ax^2+bx+c\), where a, b, and c are real numbers (and a isn't equal to zero, because then the x-squared term would be zero, and the equation would really just be a linear equation).
Note that for our equation, it is in standard form if we rewrite the equation to only use addition, \(y=-4x^2+-1x+3\), where \(a=-4, ~b=-1 ~ \text{and}~c=3\)
For a parabola in standard form, the y-intercept is always at a height of "c".
So, the y-intercept would be (0,3).
Find the value of y. (7x-7) 63 (3x + 45) (-6)
Answer:
b
Step-by-step explanation:
just did the test like 20 mins ago good look
How many 11-card hands are possible with a 20-card deck?
There is only 1 possible 11-card hand that can be formed from a 20-card deck.
To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.
The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.
The formula for combinations is:
nCk = n! / (k!(n-k)!)
Where "!" denotes the factorial of a number.
Substituting the values into the formula:
20C11 = 20! / (11!(20-11)!)
Simplifying further:
20C11 = 20! / (11! * 9!)
Now, let's calculate the factorial values:
20! = 20 * 19 * 18 * ... * 2 * 1
11! = 11 * 10 * 9 * ... * 2 * 1
9! = 9 * 8 * 7 * ... * 2 * 1
By canceling out common terms in the numerator and denominator, we get:
20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)
Performing the multiplication:
20C11 = 39,916,800 / 39,916,800
Finally, the result simplifies to:
20C11 = 1
Consequently, with a 20-card deck, there is only one potential 11-card hand.
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Choose the correct option
Write down the inequality shown in the diagram
-4 < x <3
Option 1
-4 < x <3
Answer:
-4 < x <3
Option 1
-4 < x <3
-
5. lf you are an American citizen, then you have the right to vote
Answer:
if its true or false its true
Step-by-step explanation:
identify whether each of the following variables is a nominal, ordinal, discrete, or continuous variable.
variables is a nominal, ordinal, discrete, or continuous variable.Nominal: Labels/categories. Ordinal: Order/ranking. Discrete: Whole numbers. Continuous: Any value in range
Nominal variable: A nominal variable is a type of variable that is used to name, label, or categorize particular attributes that are being measured. It is often used in survey research to represent different categories or groups.
Ordinal variable: An ordinal variable is a type of variable that is used to represent a specific order or ranking of values. It is frequently used when measuring psychological or social characteristics, such as job satisfaction or political opinions.
Discrete variable: A discrete variable is a type of variable that can only take on certain values, such as whole numbers. It is often used to count the number of specific events or occurrences within a given time period.
Continuous variable: A continuous variable is a type of variable that can take on any value within a given range. It is typically used to measure quantity or amount, such as the height or weight of an individual.
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if i pour 1/4 gallon of tea in each of the 4 pitchers. how many gallon in each pitcher
If 4700 bricks each of size 25 cm x 16 cm x 10 cm are required to construct a wall
20 m long and 20 cm wide containing two windows of size 2 m X 1.5 m each, find
the height of the wall.
Answer:
970 cm
Step-by-step explanation:
Given that:
Size of brick :
25cm × 16cm × 10cm
Number of bricks = 4700
Dimension of wall = 20 m long × 20 cm wide
Let the height = h
Hence, dimension of wall (length and height)
2000 cm × h
Dimension of window = 2m × 1.5m = 200cm × 150cm
Number of windows = 2
Total area covered by windows = 2 * (L * B)
= 2(200 * 150) = 60,000cm
Brick = (25 * 16) * 4700 = 1, 880, 000 cm ( length and height)
Wall = 2000 * height - 60,000 = 1880000
2000height - 60,000 = 1880000
2000height = 1880000 + 60,000
2000height = 1940000
Height = 1940000 / 2000
Height of wall = 970 cm
One number is four less than a second number. Five times the first is 14 more than 3 times the second. Find the numbers.
Answer:
x=17 and y=13
Step-by-step explanation:
let y the first number and x the second number.
y+4=x
5y=14+(3x)
two equations with two unknowns
x=17 and y=13
Pencils cost 2 dollars each.
Rulers cost 3 dollars each.
Edith buys p pencils and r rulers.
The total cost is T dollars.
Write down a formula for Tin terms of p and r.
(3 marks)
how do I solve this screen shot
Answer:
add me as a friend and give me thanks
Step-by-step explanation:
the answer is A for sure
when multiplying two negative intergers what is the sign of the product
Answer:
A Positive
Step-by-step explanation:
Two negatives cancel out and make a positive.
For example: -5 x -6 = 30