Drag each length to the correct location on the triangle. Each length can be used more than once, but not all lengths will be used.
What are the missing side lengths for the triangle?
10/2
5√2 10 5√3
5
5√2
45°
B
Reset
45°
Next
Answers
The measure of the missing side of the right triangle are as follows;
adjacent side = 5√2
hypotenuse = 10
How to find the side of a right triangle?A right angle triangle has one of its angles as 90 degrees.
Therefore,
using trigonometric ratios,
tan 45 = opposite / adjacent
tan 45 = 5√2 / a
adjacent side = 5√2 / 1
Therefore,
adjacent side = 5√2
sin 45 = opposite / hypotenuse
hypotenuse = 5√2 / √2 / 2
hypotenuse = 5√2 × 2 / √2
hypotenuse = 10
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Related Questions
Doug spent $1.05 on 0.6 pounds of apples.
a.) How much would 3 pounds of apples cost?
Answers
1.75 * 3 = $5.25 for 3 pounds of apple
I set z=t=0(x,y,z,t)
and I got a partial solution (0,1,0,0).
I solved two homogeneous matrices once for z=1
and t=0
, then for z=0
and t=1
and I got two solutions (1,1,1,0)
and (1,1,0,1).
Then, I got (0,1,0,0)+a∗(1,1,1,0)+b∗(1,1,0,1
)
Therefore, all possible results are (0,1,0,0),(1,0,1,0),(1,0,0,1),(0,1,1,1)
Would this be correct?
Answers
The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).
Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.
Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).
Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).
Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).
To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.
(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)
Expanding this expression, you get:
(0+a+b, 1+a+b, 0+a, 0+b)
Simplifying, you obtain the following set of solutions:
(0, 1, 0, 0)
(1, 2, 1, 0)
(1, 2, 0, 1)
Therefore, the correct set of possible results would be:
(0, 1, 0, 0)
(1, 2, 1, 0)
(1, 2, 0, 1)
Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.
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The expression 5 + 5x is equivalent to the expression
Answers
Answer:
5(1+x)
Step-by-step explanation:
Challenge: Marty Mcfly is paid $20.80 per hour at an arcade. How many hours did he work (including some overtime) if he earned $1,144 in a week?
Answers
He works for 55 hours in order to receive grossly $1,144
How to determine the number of hours he works for $1,144?From the question, the given parameters are
Hourly rate = $20.80 per hour
Total earnings = $1,144
The number of hours he works for is the quotient of the total earning and the hourly rate
This is represented as
Number of hours = Total amount /Hourly rate
Substitute the known values in the above equation
So, we have the following equation
Number of hours = 1144/20.8
Evaluate
Number of hours = 55
Hence, the number of hours is 55 hours
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The lines y=4x+6 and x+y=6 enclose a triangle. Find the area of the triangle.
Answers
Answer:
22.5 square units
Step-by-step explanation:
added in the picture
The area of the
polygon is 224cm².
What is its perimeter?
Answers
The perimeter of the given polygon is 60 cm.
What do you mean by a polygon?A polygon is a closed polygonal chain made up of a finite number of straight-line segments and is a type of planar figure in geometry. A polygon is a region that is bounded by a bounding circuit, a bounding plane, or both. A polygonal circuit's segments are referred to as its edges or sides.A two-dimensional geometric shape with a finite number of sides is called a polygon.A polygon's sides are constructed from segments of straight lines joined end to end.So, according to the attached image, the polygon is a square.
Area of square: A = s²Now, calculate for sides:
224 = s²s = √224s = 14.96Rounding off: 15cm
Now, we know that each side of the square is 15 cm.Then perimeter:
P = 4sP = 4(15)P = 60 cmTherefore, the perimeter of the given polygon is 60 cm.
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The fox population in a certain region has a continuous growth rate of 6 percent per year. It is estimated that the population in the year 2000 was 22300. (a) Find a function that models the population t years after 2000 (t = 0 for 2000). Hint: Use an exponential function with base e. Your answer is P(t) = Preview (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer must be an integer) Preview
Answers
The function that models the population t years after 2000 is22300 × e^(0.06t), The estimated fox population in the year 2008 is 36081. This can be answered by the concept of exponential function.
The question asks to find a function that models the population of foxes in a certain region with a continuous growth rate of 6 percent per year starting from the year 2000. It also asks to estimate the fox population in the year 2008 using this function.
a. Let P(t) be the population of foxes t years after 2000. Since the growth rate is continuous, we can use an exponential function with base e to model the population. We know that P(0) = 22300 (the population in the year 2000), and the annual growth rate is 6%. Therefore, we can write:
P(t) = 22300 × e^(0.06t)
b. To estimate the fox population in the year 2008, we need to find P(8) since t = 8 represents 8 years after 2000. Substituting t = 8 into the equation above, we get:
P(8) = 22300 × e^(0.06×8) = 22300 × e^0.48 ≈ 36081
Therefore, the estimated fox population in the year 2008 is 36081.
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3. TRAILS Caroline and Rodney went on a hike. They
started at the clubhouse, which is located at((-4,-3)
on their map. They hiked on a straight line to the
canoe livery, which is located at (2, 3). They had
3
completed of their hike when they stopped for lunch.
At what coordinates on their map were Caroline and
Rodney when they stopped to eat lunch?
Answers
Caroline and Rodney, on their way to the canoe livery, stopped to eat lunch at the point on their map with coordinates of (-2, -1).
What is the coordinate of a point?The coordinates of a point on a two dimensional plane are two numbers that define its location.
The given coordinates of the journey are;
Location of the clubhouse = (-4, -3)Coordinates of the canoe livery = (2, 3)Proportion of the hike completed before they stopped for lunch = (1/3) of the journeyRequired; The coordinates of the map where Caroline and Rodney stopped for lunch.
Solution:
The coordinates of a point (x, y), which is a proportion, t, of the distance between two points (a, b), and (c, d) is given by the formula;
x = a•(1 -t) + c•t
y = b•(1 -t) + d•t
The location where they had lunch is therefore;
x = -4×(1 - (1/3)) + (1/3)×2 = -2
y = -3×(1 - (1/3)) + (1/3)×3 = -1
The points is therefore; (-2, -1)
The coordinates on the map where Caroline and Rodney stopped for lunch is (-2, -1)
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The first term of a geometric sequence is 6 and the fourth term is 384. What is the sum of the first 10 terms of the corresponding series?
Answers
Answer:
2097150
Step-by-step explanation:
GIVEN :-
First term of G.P. = 6Forth term of G.P. = 384TO FIND :-
Sum of first 10 terms of the G.P.CONCEPT TO BE USED IN THIS QUESTION :-
Geometric Progression :-
It's a sequence in which the successive terms have same ratio.General form of a G.P. ⇒ a , ar , ar² , ar³ , ....... [where a = first term ; r = common ratio between successive terms]Sum of 'n' terms of a G.P. ⇒ \(\frac{a(r^n - 1)}{r-1}\).[NOTE :- \(\frac{a(1-r^n)}{1-r}\) can also be the formula for "Sum of n terms of G.P." because if you put 'r' there (assuming r > 0) you'll get negative value in both the numerator & denominator from which the negative sign will get cancelled from the numerator & denominator. YOU'LL BE GETTING THE SAME VALUE FROM BOTH THE FORMULAES.]
SOLUTION :-
Let the first term of the G.P. given in the question be 'a' and the common ratio between successive terms be 'r'.
⇒ a = 6
It's given that forth term is 384. So from "General form of G.P." , it can be stated that :-
\(=> ar^3 = 384\)
\(=> 6r^3 = 384\)
Divide both the sides by 6.
\(=> \frac{6r^3}{6} = \frac{384}{6}\)
\(=> r^3 = 64\)
\(=> r = \sqrt[3]{64} = 4\)
Sum of first 10 terms \(= \frac{6(4^{10}-1)}{4 - 1}\)
\(= \frac{6(1048576 - 1)}{3}\)
\(= 2 \times 1048575\)
\(= 2097150\)
A distribution is positively skewed if which of these statements is true about
the dot plot that represents it?
A. The left tail is longer than the right.
B. The left side is a mirror reflection of the right side.
C. The right tail is longer than the left.
D. The left tail is equal in length to the right tail.
Answers
Answer:
c the right tail is longer than the left
Step-by-step explanation:
for f(x)=-5x+2 and g(x)=x/3+5
evaluate f(4) times g(3)
Answers
janet can make 4/5 of a necklace in 20 min .how many necklaces can she make in 1 hour
Answers
4/5 * 3 = 12/5
20 * 3 = 1 hour = 60 min
5x+2y<8 graph the inequality
Answers
A number tripled and tripled again is 468. What is the number?
Answers
Answer:
52
Step-by-step explanation:
468/9 = 52
52 x 3 = 156
156 x 3 = 468
. if seven balanced dice are rolled, what is the probability that each of the six different numbers will appear at least once?
Answers
The probability that each of the six different numbers will appear at least once when rolling seven balanced dice can be calculated by subtracting the cases where at least one number is missing from the total number of outcomes:
Probability = [6! - 6 * (5!) + (6 choose 2) * (4!) - (6 choose 3) * (3!) + (6 choose 4) * (2!) - (6 choose 5) * (1!) + (6 choose 6) * (0!)] / (6^7)
The probability of each of the six different numbers appearing at least once when rolling seven balanced dice can be calculated using the concept of permutations and combinations.
To find the probability, we need to consider the total number of possible outcomes and the number of favorable outcomes.
1. Total number of outcomes:
When rolling seven dice, each die has six possible outcomes (numbers 1 to 6). Since each die is rolled independently, the total number of outcomes is calculated by multiplying the number of outcomes for each die: 6 * 6 * 6 * 6 * 6 * 6 * 6 = 6^7.
2. Favorable outcomes:
For each number to appear at least once, we can calculate the number of ways in which this can happen. One way to approach this is by considering the cases where each number appears exactly once and then subtracting the cases where at least one number doesn't appear.
- Number of ways for each number to appear exactly once:
Since there are six different numbers, we can assign one number to each die in 6! (6 factorial) ways. This means that there are 6! favorable outcomes where each number appears exactly once.
- Number of ways for at least one number to not appear:
We can use the principle of inclusion-exclusion to calculate the number of ways where at least one number doesn't appear. There are 6^7 - 6! ways to roll the seven dice without any restrictions. However, we need to subtract the cases where at least one number is missing.
- Number of ways with one missing number: We can choose one number to be missing in 6 ways, and the remaining numbers can be assigned to the dice in (6-1)! ways. So, there are 6 * (5!) favorable outcomes with one missing number.
- Number of ways with two missing numbers: We can choose two numbers to be missing in (6 choose 2) ways, and the remaining numbers can be assigned to the dice in (6-2)! ways. So, there are (6 choose 2) * (4!) favorable outcomes with two missing numbers.
- Similarly, we can calculate the number of ways with three, four, five, and six missing numbers.
3. Calculating the probability:
To calculate the probability, we divide the number of favorable outcomes by the total number of outcomes:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
Therefore, the probability that each of the six different numbers will appear at least once when rolling seven balanced dice can be calculated by subtracting the cases where at least one number is missing from the total number of outcomes:
Probability = [6! - 6 * (5!) + (6 choose 2) * (4!) - (6 choose 3) * (3!) + (6 choose 4) * (2!) - (6 choose 5) * (1!) + (6 choose 6) * (0!)] / (6^7)
Simplifying this expression will give us the final probability.
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HELPPP PLSS What is the solution to the equation
Answers
Answer:
\(a=3\frac{1}{3}\)
Step-by-step explanation:
\(a+5\frac{2}{3} =9\)
\(a+5\frac{2}{3}-5\frac{2}{3}=9-5\frac{2}{3}\)
\(a=3\frac{1}{3}\)
Which expression is equivalent to 5 a + 20?
5 (5 a + 4)
5 (a + 4)
5 (a + 20)
5 (a + 1)
Answers
Answer:
It's B
Step-by-step explanation:
I took the quiz and I'm just good at math.
for the function ()=2, let ()=′(). write the integral ∫() and evaluate it with the fundamental theorem of calculus.
Answers
The integral ∫() is 2+ C, where C is the constant of integration. We have evaluated the integral of the function with the limits 0 and 3 using the fundamental theorem of calculus. The value of the integral is 6.
Given the function ()=2, let ()=′(). We need to write the integral ∫() and evaluate it with the fundamental theorem of calculus.We know that for a continuous function, we can evaluate the definite integral of the function using the fundamental theorem ofc. Let's find out the integral of the function ()=2.∫()d= ∫′()d= () + C = 2+ C where C is the constant of integration.Now, let us evaluate this integral using the fundamental theorem of calculus.IF we have a function () and its derivative ()′(), then the definite integral of () from a to b can be calculated as:∫^b_a ()d = [()]b - [()]aSince ()=′(), we can use this theorem to evaluate the integral of () which we have found earlier.
Let's evaluate the integral of the function with the limits 0 and 3.∫^3_0 ()d = [()]3 - [()]0∫^3_0 ()d = [2(3)] - [2(0)]∫^3_0 ()d = 6 - 0∫^3_0 ()d = 6.Therefore, the integral ∫() is 2+ C, where C is the constant of integration. We have evaluated the integral of the function with the limits 0 and 3 using the fundamental theorem of calculus. The value of the integral is 6.
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keesha bought 24 feet of ribbon. how many yards did she buy? (This is set up as simple measurment problsm.)
Answers
Answer:8 feet
Step-by-step explanation: since it takes 3 feet to make a yard 24 divided by 3 is 8 so the answer is 8
Please find a... I will mark you brainliest
Answers
Given, consecutive / adjacent angles in a parallelogram are supplementary or make 180°. So, here (5a + 34)° & (3a + 26)° are supplementary angles.
=》5a + 34 + 3a + 26 = 180
=》5a + 3a + 34 + 26 = 180
=》8a + 60 = 180
=》8a = 120
=》a = 120/8
=》 a = 15
______
The picture is not clear, so I hope the values I took are correct.
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
Compute the value: 5+ 6+ 7+ 8+9+...+200 52. (4) Consider the sequence (bi) defined as follows: b₁-4, and b=3b4-1 for k>1. Find the term bio.
Answers
The calculated value of the tenth term, b₁₀ of the sequence is 78732
How to calculate the tenth term, b₁₀ of the sequenceFrom the question, we have the following parameters that can be used in our computation:
b₁ = -4
bₙ = 3bₙ₋₁
The above means that
We multiply the current term by 4 to get the next term
So, we have
b₂ = 3 * 4 = 12
b₃ = 3 * 12 = 36
b₄ = 3 * 36 = 108
b₅ = 3 * 108 = 324
b₆ = 3 * 324 = 972
b₇ = 3 * 972 = 2916
b₈ = 3 * 2916 = 8748
b₉ = 3 * 8748 = 26244
b₁₀ = 3 * 26244 = 78732
Hence, the tenth term, b₁₀ of the sequence is 78732
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Mrs. Santiago is buying donuts for her office. Each box contains 6 glazed, for cream filled, and two chocolate flavored Donuts. If there were 20 total cream filled Donuts, how many chocolate donuts did she buy?
ANSWER ASAP PLEASE.
Answers
Answer:
She would get less chocolate donuts then the cream filled donuts
Step-by-step explanation:
so I have 6 glazed donuts I bought, I also bought 2 chocolate donuts, if you subtract that you'd have 18 chocolate donuts
The sword maker in the cove ordered a special tape to wrap the sword handles with. He knew each sword would need 48 inches of tape. If he ordered 100 feet of tape, will he have enough tape to wrap 28 swords? How much will he have left over or how much more will he need?
Answers
Answer:
a) If he ordered 100 feet of tape, will he have enough tape to wrap 28 swords?
No he would not
b) How much will he have left over or how much more will he need?
= He would have 144 inches left over.
Step-by-step explanation:
The sword maker in the cove ordered a special tape to wrap the sword handles with. He knew each sword would need 48 inches of tape. If he ordered 100 feet of tape, will he have enough tape to wrap 28 swords? How much will he have left over or how much more will he need?
From the above question, each sword would need 48 inches of tape
He would need to wrap 28 swords, hence:
1 swords = 48 inches
28 swords = x
x = 28 × 48 inches
= 1344 inches of tapes
Therefore to cover each sword he would need a total of 1344 inches of tape.
He ordered 100 feet of tape
We convert 100 feet to inches
1 foot = 12 inches
100 feet = x
x = 100 × 12 inches
x = 1200 inches
Hence, he ordered 1200 inches of tape.
a) If he ordered 100 feet of tape, will he have enough tape to wrap 28 swords?
100 feet = 1200 inches of tapes
To wrap 28 swords he would need 1344 inches of tape hence, he would not have enough tape to wrap 28 swords.
b) How much will he have left over or how much more will he need?
= 1344 inches - 1200 inches
= 144 inches
He would have 144 inches left over.
Answer as many as possible, due tomorrow!!
An I don't know how to solve it..
Worth 100 points!!!!!!
Answers
20 scoops, and 10 cookies, hope this helps.
Huang Yi works as a paleontologist and a sculptor. She earns \$5{,}500$5,500dollar sign, 5, comma, 500 per month as a paleontologist and \$4{,}500$4,500dollar sign, 4, comma, 500 per month as a sculptor. Huang Yi wants to make more than \$50{,}000$50,000dollar sign, 50, comma, 000 this year. In the inequality shown above, PPP represents the number of months Huang Yi can work as a paleontologist and SSS represents the number of months she can work as a sculptor to reach her goal. If Huang Yi worked for 666 months as a paleontologist this year, what is the minimum whole number of months that she must work as a sculptor to reach her goal?
Answers
Answer:
4 months
Step-by-step explanation:
Let P represents the number of months Huang Yi can work as a paleontologist and S represents the number of months she can work as a sculptor to reach her goal.
If she works for P months as an paleontologist, her income would be 5500P while if she works for S months as a sculptor her income would be 4500S.
Her total income = 5500P + 4500S
Since she wants to earn more than $50000, hence:
5500P + 4500S > 50000
Given she worked as a paleontologist for 6 months, therefore:
5500(6) + 4500S > 50000
33000 + 4500S > 50000
4500S > 50000 - 33000
4500S > 17000
S > 17000/4500
S > 3.78
S > 4
The minimum whole number of months that she must work as a sculptor to reach her goal is 4 months
In a class of 50 students, 40% are girls. Find the number of girls and number of boys in the class
Answers
Answer:
Girls: 20
Boys: 30
Step-by-step explanation:
40% of 50 is 20, which means there are 20 girls.
Subtract 50-20 to get the number of boys, which is 30.
Answer:
30 students are boys
Step-by-step explanation:
The ratio of women to men at a college is 9 to 8. If there are 5,644 students in the school, how many more women are there than men?
A) 332
B) 2988
C) 2656
D) 705
Answers
Answer:
332
Step-by-step explanation:
Since there is a ratio of 9:8 (women to men), the total should be 17. So even if there were 81 women and 72 men, the total ratio should still be 17. (In simplifiest form.)
So, 5,644 divided by 17=332
Since 9 is 1 more than 8, there are 332 more women than men.
Hope this made sense! I wasn't sure how to explain this.
Answer:
332
Step-by-step explanation:
Please help me to answer this question.
Answers
Answer:
the answer I got was 12.5 cm
Please Help !!!! I need ASAP
Answers
40/4
16/4
because 400 dived by 4 is 100 and 40 divided by 4 is 10 and 16 divided by 4 is 4 all together 114
"The output is 6 greater than three times the input." what is the response?
Answers
The expression for output is 6 greater than three times the input is y = 3x + 6.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the output is 6 greater than three times the input the expression can be written as:-
y = 3x + 6
Therefore, y = 3x + 6 is an expression for an output that is six times greater than the input.
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