The ratio of any side and hypotenuse is always less than 1.
The question seems incomplete
The options are not given the options are
a. 1
b. 0.5
c. 2
What is the sin ratio?[tex]sin\theta=\frac{Opposite side}{hypotenuse}[/tex]
Therefore, the ratio of any side and hypotenuse is always less than 1. Now, in the case of 0 or 90 degrees, the figure is no longer a triangle because one of the sides ceases to exist while the other side coincides with the hypotenuse.
This is the reason that in these extreme cases, sin and cosine take values 0 or 1.
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plsssss. Quadrilateral IJKL is similar to quadrilateral MNOP. Find the measure of side MN. Figures are not drawn to scale.
[tex]\\ \rm\Rrightarrow \dfrac{IJ}{IL}=\dfrac{MN}{MP}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{24}{12}=\dfrac{MN}{3.8}[/tex]
[tex]\\ \rm\Rrightarrow 2=\dfrac{MN}{3.8}[/tex]
[tex]\\ \rm\Rrightarrow MN=3.8(2)[/tex]
[tex]\\ \rm\Rrightarrow MN=7.6[/tex]
The table below shows the value of Henry's car at the end for each of the first 3 years after it is purchased. The values form a geometric
sequence.
Year
Value
dollars)
18000
116200
14580
(in
What will be the approximate value of the car at the end of the 10th year?
O
A. $6,974
B. $8,610
C. $11,810
D. $7,748
Using a geometric sequence, it is found that the approximate value of the car at the end of the 10th year will be given by:
A. $6,974.
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
In this problem, the first term and the common ratio are given, respectively, by:
[tex]a_1 = 18000, q = \frac{16200}{18000} = 0.9[/tex]
Hence the equation is:
[tex]a_n = 18000(0.9)^{n-1}[/tex]
At the end of the 10th year, the value will be of:
[tex]a_{10} = 18000(0.9)^{10-1} = 6974[/tex]
Hence option A is correct.
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Type the correct answer in each box. a race car is driven by a professional driver at 99 . what is this speed in and ? 1 mile = 1.61 kilometers 1 hour = 60 minutes express the answers to the correct number of significant figures. the speed is equivalent to , or .
The speed of the car in kilometres per minutes is 2.6565 km/minutes
How to find speed in km/minutes?The car speed is 99 miles per hours.
Therefore,
1 miles = 1.61 km
99 miles = ?
cross multiply
distance = 159.39 km
Therefore,
1 hour = 60 minutes
Hence,
speed = 159.39 / 60
speed = 2.6565
speed = 2.6565 km/minutes
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HELP I can’t figure it out
Answer:
[tex]\huge\bold\color{pink}{- Magdonal -}[/tex]
[tex]\blue{\rule{50pt}{999999pt}} \purple{\rule{50pt}{999999pt}} \
\green{\rule{27pt}{999999pt}} \blue{\rule{10pt}{999999pt}} \
[/tex]
3. The probability of winning a balloon dart game is 0.25. The odds of winning a ring toss game are 2:7. Which game gives you a better chance of winning?
Please help
Answer:
Ring toss game
Step-by-step explanation:
[tex]2:7[/tex] can be rewritten as [tex]\frac{2}{7}[/tex], which is [tex]\approx0.286[/tex].
We can now compare the probabilities of winning for each game.
[tex]0.286 > 0.25[/tex]
This means the odds of winning the ring toss game ([tex]0.286[/tex]) are higher than the odds of winning the balloon dart game [tex](0.25)[/tex].
Area of a rectangular playground in residential society is 2 2/5 km square and one of its sides is 1 2/5 km/ find the length of the other side
Step-by-step explanation:
area of a rectangle is
length × width
so, in our case
2 2/5 km² = 1 2/5 × width (or length, it does not matter)
12/5 km² = 7/5 × width
width = 12/5 / 7/5 = 12×5 / 7×5 = 12/7 = 1 5/7 km
Evaluate (cant write it out, picture included)
Let's solve this problem step-by-step:
⇒ with our knowledge of PEMDAS
⇒ (look at the image attached)
Let's solve:
Let's first plug n's value[tex]\frac{9}n}+4 = > \frac{9}{-3}+4[/tex]
Let's first do the division[tex]\frac{9}{-3}+4=-3+4[/tex]
Now let's add[tex]-3+4=1[/tex]
Answer: 1
Hope that helps!
jeanne barrons has decided to buy a new car. it has a base price of
$21,276.00, options totaling $1,219.80 and a destination charge of $590.00.
while surfing the internet, she learned that the dealer's cost is
approximately 83% of the base price and 80% of the price of the options.
what should barrons estimate as the dealer's cost? (section 9-2) *
o a. $19,224.92
b. $17,659.09
c. $17,500.25
d. $19,430.84
Answer:
a. $19,224.92
Step-by-step explanation:
The dealer's cost will be the sum of the dealer's costs for the base car, its options, and the destination charge.
__
cost for base car = 0.83 × $21,276 = $17,659.08
cost for options = 0.80 × $1,219.80 = $975.84
cost for destination charge = $590.00
The sum of the dealer's costs is ...
$17,659.08 +975.84 +590.00 = $19,224.92
Barrons should estimate the dealer's cost to be $19,224.92.
Select the correct answer from each drop-down menu.
Consider the function f(x) = 3x4 − 5x2.
This function is
1. even
2. odd
3. neither even or odd
because
1. f(x)-f(x)
2. f(x)=f(x)
3. -f(x)=f(-x)
Using the classification for even and odd functions, it is found that the function is even, because f(-x) = f(x).
How we verify if the function is even, odd, or neither?If for all values of x, f(x) = f(-x), the function is even.If for all values of x, f(-x) = -f(x), the function is odd.If neither of these statements are true, the function is neither even nor odd.Graphing the function [tex]f(x) = 3x^4 - 5x^2[/tex], for every value of x, f(x) = -f(x), that is, the function is symmetric over the y-axis, hence it is even.
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can someone help me to number 2,4&5.
just 2,4&5 that's all thank you.
Answer:
See below ~
Step-by-step explanation:
DL is a perpendicular bisector of chord GA. Identify the diameter.
A 12 m ladder propped against a wall forms an angle of 60° with the ground. Determine
how far the top of the ladder is from the ground. Include a diagram.
Answer:
the top of the ladder is approx 8.485 meters off the ground
written explanation included
Step-by-step explanation:
I should probably write this out in one note but bear with me, please.
Assuming the ground and the wall meet at a 90° angle
therefore the angles of the triangle formed are 90°, 30°, and 60°
Tyshawn went shopping for a new pair of pants. Sales tax where he lives is 6%. The price of the pair of pants is $49. Find the total price including tax. Round to the nearest cent.
The total price of new pair of pants including tax will be $ 51.94.
What is the percentage?Everything is stated as if it was a fraction of a hundred in quantity.
Tyshawn went shopping for a new pair of pants.
Sales tax where he lives is 6%.
The price of the pair of pants is $49.
Then the total price of new pair of pants including tax will be
Total cost = 49 x (1 + 0.06)
Total cost = 49 x 1.06
Total cost = $ 51.94
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ACTIVITY #1
Try It!
A. Write the definition, property, postulate or theorem that will prove each of the given statements.
What completes the proof are:
1. LC ≅ CU; CU ≅ UK
2. Given
3. Unequal angle theorem (Aa → Ss)
What is the Unequal Angle Theorem?The unequal angle theorem states that the longer side of a triangle will always be directly opposite the largest angle measure. This implies that, if an angle that is opposite a side is greater than another another, the side it is opposite will also be longer than the side opposite the other angle (Aa → Ss).
From the image given, statement 1 was given as well as statement 2.
Statement 1 would be: LC ≅ CU; CU ≅ UK.
The reason for statement 2 will also be "given".
Then, UL > CK using the unequal angle theorem (Aa → Ss).
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An awards dinner costs $225 plus $5 for each person making reservations the total bill is $735 how many people attended the dinner
The number of people attended dinner is 102.
What is an Equation ?An equation is a mathematical statement when two algebraic expressions are equated by an equal sign.
It is given in the question that
An awards dinner costs $225 plus $5 for each person making reservations
the total bill is $735
people attended the dinner = ?
Let x number of people attended the dinner
$225 + $5 * x = $735
5x = 735-225
5x = 510
x = 102
Therefore , 102 people attended the dinner.
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Bob's Gift Shop sold 250 cards for Mother's Day. One salesman, Alang, sold 4% of the cards sold for Mother's Day. How many cards did Alang sell?
Answer:
10 cards
Step-by-step explanation:
4% of 250 cards
(4/100) x 250 cards
10 cards ✔️
Hello, can someone help with this problem?
The graph shows the probability distribution of a random variable.
What is the value of P(4≤X≤8)?
0.40
0.45
0.50
0.55
Answer:
P(5 ≤ X ≤ 8) = a rectangle with a width of 3 and height of .15 = 3(.15) = .45
P( 4 ≤ X ≤ 5) = a triangle with a base of 1 and a height of (0.15 -0.05) = .10
So....this area = (1/2)(1)(.10) = .05
And another rectangle with a width of 1 and height of .05 = (1) (.05) = .05
So
Adding these areas
P( 4 ≤ X ≤ 8 ) = .45 + .05 + .05 = .55
Step-by-step explanation:
Hoped this helped!
A graph shows the number of texts, numbered 10 to 100, on the x-axis, and the total cost in dollars, numbered 3 to 27, on the y-axis. A straight red line with a positive slope, labeled Emilia, begins at (0, 10), and a straight blue line with a positive slope, labeled Hiroto, begins at (0, 20). Both lines intersect at point (50, 22.5).
Hiroto’s texting plan costs $20 per month, plus $0.05 per text message that is sent or received. Emilia’s plan costs $10 per month and $0.25 per text. Using the graph below, which statement is true?
(50, 22.5) is the solution of the system of equations, therefore, the true statement would be: Both plans cost the same when 50 texts are sent.
What is the Solution of a System of Linear Equations?A solution to the system of linear equations is the point of intersection where both line of each equation meet.
The solution to the system of linear equations given in the graph attached below is (50, 22.5).
(50, 22.5) implies that both plans will cost the total amount when 50 text are sent.
The true statement using the graph would be: Both plans cost the same when 50 texts are sent.
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Answer:
Both plans cost the same when 22 texts are sent
Step-by-step explanation:
on edge
Karen purchased a used vehicle that depreciates under a straight line method the initial value if the car is 4400 and the salvage value is 800 if the car is expected to have a useful life of another six years how much will it depreciate each year?
Answer:
Karen expects the vehicle to depreciate by 600 each year.
Step-by-step explanation:
Given:
- initial value: 4400
- salvage value: 800
- another six years
It is expected to depreciate from 4400 to 800 in 6 years.
The depreciation per year is the ratio
depreciation per year = (total depreciation) / (number of years)
Total depreciation is the change in value, so the depreciation per year is
(4400 - 800)/6 = 600
What is the product of the fractions below?
1/8 * 4/5
Answer: 1/10
Step-by-step explanation:
(1 x 4)/(8x5)
4/40
1/10
M(-5, 2) and N(5, 2) are the endpoints of the segment MN on the coordinate plane. What is the length of ?
A.
5 units
B.
9 units
C.
10 units
D.
12 units
This is for edmentum btw
Which shows the un-simplified solution for x2 + 8x + 6 = 0?
Answer:
A) [tex]\displaystyle x=\frac{-8\pm\sqrt{40}}{2}[/tex]
Step-by-step explanation:
We know that the discriminant is [tex]b^2-4ac=(8)^2-4(1)(6)=64-24=40[/tex], so it cannot be B or C.
Also, because [tex]2a=2(1)=2[/tex], then the denominator must be 2, which means that A is the correct un-simplified solution for the quadratic equation.
Answer:
Choice A
Step-by-step explanation:
Let's solve to check.
Given:
x^2 + 8x + 6 = 0
Solution:
We know that,
Let us assume that Quadratic Formula = x[tex] \implies \rm \: x = \cfrac{ { - b±} \sqrt{ {b}^{2} - 4(ac)} }{2a} [/tex]
Here, a = 1b = 8c =6So substitute them:
[tex] \implies \rm \: x = \cfrac{ - 8± \sqrt{ {8}^{2} - 4(1 \times 6)} }{2 \times 1} [/tex]
[tex] \implies \rm \: x = \cfrac{ - 8± \sqrt{64 - 4 \times 6 } }{2} [/tex]
[tex] \implies \rm \: x= \cfrac{ - 8 ±\sqrt{64 - 24} }{2} [/tex]
[tex]\boxed{ \implies \rm \: x = \cfrac{ - 8 ±\sqrt{40}}{2}}[/tex]
Hence, choice A[x = {8±√(40)/2}] shows the un-simplified solution for x2 + 8x + 6 = 0.
Sana's mother bought produce for Sunday dinner. She bought one more pound of peaches than pounds of tomatoes. She bought 3 times as many pounds of tomatoes as pounds of mushrooms. If peaches cost $6 per lb, tomatoes cost $3 per lb, and mushrooms cost $10 per lb, how many of each did Sana's mother buy for $80?
Using a system of equations, it is found that Sana's mother bought 6.72 pounds of peaches, 5.72 pounds of tomatoes and 2.24 pounds of mushrooms for $80.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
Variable x: Number of pounds of peaches.Variable y: Number of pounds of tomatoes.Variable z: Number of pounds of mushrooms.She bought one more pound of peaches than pounds of tomatoes, hence:
x = y + 1.
y = x - 1.
She bought 3 times as many pounds of tomatoes as pounds of mushrooms, hence:
x = 3z.
y = x - 1 = 3z - 1.
She spent a total of $80, hence considering the cost per pound of each product we have that:
6x + 3y + 10z = 80.
Considering the values of x and y as function of z and replacing in the equation, we have that:
6(3z) + 3(3z - 1) + 10z = 80
18z + 9z - 3 + 10z = 80.
37z = 83.
z = 83/37
z = 2.24.
Then:
x = 3z = 3 x 2.24 = 6.72.
y = x - 1 = 3z - 1 = 6.72 - 1 = 5.72.
Hence, she bought 6.72 pounds of peaches, 5.72 pounds of tomatoes and 2.24 pounds of mushrooms for $80.
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7 lbs peaches, 6 lbs tomatoes, 2 lbs mushrooms
yum!
Determine if the two triangles are congruent. If they are, state how you know
A) ASA
B) AAS
C SAS
D SSS
Grace buys a set of 14 notebooks. Each notebook has 85 pages. What is the total number of pages for all the notebooks?
Answer: 1190 pages
Step-by-step explanation:
The word problem states that Grace has a set of 14 notebooks, and each notebook has 85 pages. To find the total number of pages, we want to multiply the number of pages in each book by how many books there are.
14×85=1190 pages
please answer, much appreciated!!!!!
Answer:
i don't understand your question
Step-by-step explanation:
Which of the following can be used to find the sum of the interior angles for
any regular polygon?
A. Multiply the number of sides by 180
B. Add 1 to the number of sides and multiply the sum by 180
OC. Divide the number of sides by 180
OD. Subtract 2 from the number of sides and multiply the difference by
180
A rectangle is divided into 4 equal rows with 4 squares in each row. mark says 1 square is 1/4 of the whole rectangle. kareem says 1 row of the whole rectangle.
the length of a line is y centimetres write down an expressions in terms of y for the length of the line in millimetres
Answer:
L=10y
Step-by-step explanation:
1cm=10mm
Hence, the length in millimeters will be 10 times the value in cm.
A tub of water is emptied at a rate of 3 gallons per minute. The equation y –12 = –3(x – 1) models the amount of water remaining, where x is time (in minutes) and y is the amount of water left (in gallons). Analyze the work shown below to determine the initial amount of water.
1. Solve for the y-variable.
y – 12 = –3(x – 1)
y – 12 = –3x + 3
y = –3x +15
2. Write the equation using function notation.
f(x) = –3x +15
The tub started with
gallons of water.
The initial amount of the water is 15 gallons
Linear functionsThese are functions that has a leading degree of 1. Given the equation that represents the amount of water remaining after x minutes;
y - 12 = -3(x- 1)
y -12 = -3x + 3
y = -3x +3 + 12
y = -3x + 15
In order to determine the initial amount of water, we will substitute x =0 into the function
y = -3(0) + 15
y = 15
Hence the initial amount of the water is 15 gallons
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Answer:
15
Step-by-step explanation: