Answer:
8.66 cm
Step-by-step explanation:
From the diagram :
The vase of the triangle = 9.9cm - 4.9 cm = 5cm
Hence, using Pythagoras rule :
Opposite = √hypotenus² - Adjacent²
Opposite = √10²-5²
Opposite = √100 -25
Opposite= √75
= 8.66 cm
Here is the final problem jaded
Answer:
x = 12.99
Step-by-step explanation:
Tan(33) = [tex]\frac{x}{20}[/tex]
Tan(33) * 20 = x
12.99 = x
Hope this helps!
A lock has a 3-number code made up of 15 numbers. If none of the numbers are allowed to repeat, how many different ways can you choose three different numbers in order for a unique code?
Answer:2730
Step-by-step explanation:
The number of ways we can choose three different numbers in order for a unique code for this case is 2730
How many ways k things out of m different things (m ≥ k) can be chosen if order of the chosen things doesn't matter?We can use combinations for this case,
Total number of distinguishable things is m.
Out of those m things, k things are to be chosen such that their order doesn't matter.
This can be done in total of [tex]^mC_k = \dfrac{m!}{k! \times (m-k)!}[/tex] ways.
If the order matters, then each of those choice of k distinct items would be permuted k! times.
So, total number of choices in that case would be:
[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]
This is called permutation of k items chosen out of m items (all distinct).
Given that:
The considered lock as a 3 number codeThere are 15 numbers available.None of the number can repeat.In a lock, the order of the way numbers are arranged matters.
Because of no repetition allowed, we can simulate this situation as:
The number of ways we can choose 3 numbers out of 15 numbers with order = The number of different ways we can choose three different numbers in order for a unique code.
And we have:
The number of ways we can choose 3 numbers out of 15 numbers with order = [tex]^{15}P_3 = \dfrac{15!}{(15-3)!} = \dfrac{15 \times 14 \times 13 \times 12!}{12!} = 2730[/tex]
Thus, the number of ways we can choose three different numbers in order for a unique code for this case is 2730
Learn more about combinations and permutations here:
https://brainly.com/question/16107928
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What is the volume of this triangular prism in cm^3? Image is in the png link. Ples help. :(
I need to finish this today! Please help!
Answer:
13 square inches
Step-by-step explanation:
Add both values for the area together to get your answer
small one is
1*1=1 square inch
large one is
4*3=12 square inches
Answer:
13
Step-by-step explanation:
area of the polygon = area of a rectangle +area of the square
area of the polygon = 3*4 +1*1 = 12+1 = 13 in²
For which of the following is x=-5 a solution? Select all that apply.
A) x+10=-5
B) -x^2+50=25
C) |2x|=10
D) x<0
E) 2x<10
Answer:
B
D
E
[tex]b. - ( - 5)^{2} + 50 = 25 \\ \\ d. \: - 5 < 0 \\ \\ e. \: 2( - 5) < 10[/tex]
Answer:
B and C
Step-by-step explanation:
Those 2 are the only ones that equal 5,-5
Which of the following has a slope of -2 and a y-intercept of 4?
• y= -2x + 4
• y= -2x - 4
• y= 2x + 4
• y= 2x - 4
Please help me lol I need it picture should be below
9514 1404 393
Answer:
m∠Y = 40°
Step-by-step explanation:
The sum of complementary angles is 90°. If we let s and y represent m∠S and m∠Y, respectively, the angle measures in degrees satisfy ...
s + y = 90
(4y -110) +y = 90 . . . . . . . . substitute for s
5y = 200 . . . . . . . . . add 110
y = 40 . . . . . . . divide by 5
The measure of angle Y is 40°.
Please help me ITS DUE PLEASE
Answer:
Step-by-step explanation:
its A
Answer:
Answer:
Step By Step:
Letter:A
please i really need help with this
help help exponents help
Answer:
3
Step-by-step explanation:
The base is the number below the exponent.
Tricia and Melanie are both saving money for their summer vacations. They both began saving at the same time. Tricia started with $10.25 and adds $5.15 to her savings every month. Melanie did not have a starting amount but adds $9.25 to her savings every month. Which equation could be used to determine how many months, m, it will take before Tricia and Melanie both have saved the same amount of money?
Group of answer choices
10.25m – 5.15 = 9.25m
10.25m + 5.15 = 9.25m
9.25m + 10.25 = 5.15m
5.15m + 10.25 = 9.25m
Answer:
5.15m + 10.25 = 9.25m
Step-by-step explanation:
Tricia's savings can be calculated with her beginning amount, $10.25, plus a rate of $5.15 that is multiplied by the number of months she saves up, m.
Or, 10.25 + 5.15m.
Melanie saves $9.25 for her vacation, times the months that she saves up, m.
Or, 9.25m.
These two equations are equal to each other at a certain value of m, so our equation is-
5.15m + 10.25 = 9.25m
I hope this helps ^^ Good luck mate
Sorry for asking again but I need help ASAP I will give you
100 points and a brainiest
Answer: D. 10.200
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A jeweler makes a necklace using a total of 60 shells and shark teeth. The ratio of shells to shark teeth is 5:1. How many of each does she use?
Find the dot product of u and v.
9514 1404 393
Answer:
-4
Step-by-step explanation:
The dot product is the sum of products of corresponding coefficients.
u·v = (4)(-1) +(0)(2) = -4
u·v = -4
Andrew picked vegetables from his garden and put them into bags.
He put 10 carrots into each of 3 bags, 8 tomatoes into each of 4 bags, and 6 turnips into each of 5 bags.
How many vegetables did he pick in all?
A. 24
B. 36
C. 92
D. 108
HELP ME PLEASEEEEEEEEEEEE
Answer:
A) 3.5 m
Step-by-step explanation:
3.5 x 2 = 7/2 = 3.5
Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim.
The owner of a football team claims that the average attendance at games is over 642, and he is therefore justified in moving the team to a city with a larger stadium. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms.
a) There is not sufficient evidence to support the claim that the mean attendance is greater than 642.
b) There is sufficient evidence to support the claim that the mean attendance is less than 642.
c) There is sufficient evidence to support the claim that the mean attendance is greater than 642.
d) There is not sufficient evidence to support the claim that the mean attendance is less than 642.
Answer:
a) There is not sufficient evidence to support the claim that the mean attendance is greater than 642.
Step-by-step explanation:
since in the question it is mentioned that the average attendance at games should be more 642 and according to this he moving the team with a larger stadium. Also the hypothesis conducted and the conclusion would be failure to deny the null hypothesis
So here the conclusion that should be made in non-technical term is that there should be no enough proof in order to support the claim that the mean attendence is more than $642
What is 4 27/50 as a decimal
Answer:
4.54
Step-by-step explanation:
Options are:
X=2, Y=3
X=3, Y=2
X= -2, Y=3
X=4, Y=8
Answer:
x = 4, y = 8
Step-by-step explanation:
If the triangles are congruent by the HL Theorem, it means that the hypotenuse and one leg of the right triangle are congruent to the corresponding one leg and hypotenuse of the other.
Thus;
2x - 5 = y - 5 (Eqn 1) and
y - 3 = x + 1 (Eqn 2)
Thus:
Rewrite equation 1
2x = y - 5 + 5
2x = y
Substitute y = 2x in equation 2.
y - 3 = x + 1 (Eqn 2)
2x - 3 = x + 1
Collect like terms
2x - x = 3 + 1
x = 4
Substitute x = 4 in equation 1
2x - 5 = y - 5 (eqn 1)
2(4) - 5 = y - 5
8 - 5 = y - 5
3 = y - 5
3 + 5 = y
8 = y
y = 8
I needd help pleaseeeee
If you save $110 in one month, how much will you save in one year?
There is 12 months in a year so you need to multiply 12 by 110 which is 1320
Your answer is: 1320 saved in one year
Hope this helped :)
If you borrow $900 for 4 years at an
annual interest rate of 5%, how
much will you pay altogether?
Answer:
$995.04
Step-by-step explanation:
You pay $20.73 every month. $20.73 x 48 = $995.04
Answer:
i am going to assume that for interest you mean simple interest.
900*5%*4=180
180+900=1080.
if you mean compound interest...
900*(1+5%)^4=1094.0 (1.d.p)
40,000 mm = ? M plsssssssss help plsss plsss plss
Answer:
40 Meters
Step-by-step explanation:
a) Work out the size of angle x.
b) Give reasons for your answer.
Answer:
x = 75°
Step-by-step explanation:
Angle x and the angle measure 105° are same-side exterior angles. Same-side exterior angles are supplementary. Supplementary angles are angles measures that add up to 180°. So 180° - 105° = 75°. x = 75°
Answer:
75
Step-by-step explanation:
180° - 105° = 75°. x = 75°
If f(×)=1/3×^2+5find f(-9)
Answer:
I think this is the answer
[tex]f( - 9) = \frac{1}{3( - 9) {}^{2} } + 5 \\ = \frac{1216}{243} \\ = 5.0041[/tex]
pls help ill give u brainlest
Answer:
0.8 = is the proberbilty of getting an even number and a heads when you flip a coin
0.25 = is the proberbility of getting a 2 or 4 out of the bag including 1 - 8
0.5 = the probability of drawing a yellow and green marble
1 = the probability of drawing an even number or a number greater than 4
Im not really sure about the last one tho
Step-by-step explanation:
What is the value of x in the equation −x = 3 − 4x + 6?
−9
−3
3
9
Answer:
The answer is 3
Answer:
x = 3
Step-by-step explanation:
-x = 3 - 4x +6
make the -4x positive and then add it to the -x
-x = 3 +6
+4x
3x = 3 +6
then add the 3 +6 together
3x = 3 + 6
9
3x = 9
we want to get X alone so we are going to divide 3 by both sides
3x/3 = 9/3
1x = 3
and if you did not know we usually don't show the "1" if it is in front of a exponent (you just have to remember that there is a one there)
now you have your answer
x = 3
What is the volume of the rectangular prism?
What is the converse of the statement below?
“If today is Friday, then tomorrow is Saturday."
Answer:
C (Sorry if its incorrect)
Step-by-step explanation:
I believe its C
Becuase a converse is switching the hypothis and conclusion around
What does the term 9b represent
A,B,C,D
Answer:
(B) The cost to rent a bike
Answer: the cost to rent a bike
Step-by-step explanation: