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°
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
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?
convert 12 1/2 to a precent A. B. 12.5% C. 125% D. 1,250%
What is the volume of this triangular prism in cm^3? Image is in the png link. Ples help. :(
over the weekend MRs. Kinston sold slices of cake at a bake sale fundraiser
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
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What is the volume of the rectangular prism?
Write the equation of the circle with a center (5, -7) and radius = 7
Answer:
[tex](x-5)^{2} + (y+7)^{2} = 49[/tex]
Step-by-step explanation:
9514 1404 393
Answer:
(x -5)^2 +(y +7)^2 = 49
Step-by-step explanation:
The equation of the circle with center (h, k) and radius r is ...
(x -h)^2 +(y -k)^2 = r^2
Putting (h, k) = (5, -7) and r = 7 into this form, your equation is ...
(x -5)^2 +(y +7)^2 = 49
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
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
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:
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
anced
d
15. A two-digit positive number is such that the ones
digit is 2.5 times as much as the tens digit. If the
difference between the number and the number
obtained when the digits are reversed is 27, find
the number.
Answer:
The number is 52 or 25.
Step-by-step explanation:
The photo has the full solution
The number, when A two-digit positive number is such that the one's digit is 2.5 times as much as the ten's digit, is 25.
What is the equation?In other terms, an equation is a mathematical statement stating that "this is equivalent to that." It appears to be a mathematical expression on the left, an equal sign in the center, and a mathematical expression on the right.
Given:
A two-digit positive number is such that the one's digit is 2.5 times as much as the ten's digit,
Write the equations of the statement as shown below,
Assume the one's digit is x and the ten's digit is y then,
x = 2.5y
(10y + x) - (10x + y) = 27
Solve the above equation and find the value of x and y,
10y + x - 10x - y = 27
-9x + 9y = 27
-x + y = 3
-2.5y + y = 3 (Plug value of x)
-1.5y = 3
y = 2
x = 2.5 × 2
x = 5
Number = 2 × 10 + 5 = 25
Thus, the number is 25.
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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!
What is 4 27/50 as a decimal
Answer:
4.54
Step-by-step explanation:
Please help me ITS DUE PLEASE
Answer:
Step-by-step explanation:
its A
Answer:
Answer:
Step By Step:
Letter:A
After the introduction of a new soft drink, 200 people are asked to take a taste test to see how it is being received. Of those who participated, 48 said they preferred the new soft drink, 112 preferred the old soft drink, and 40 could not tell any difference. What is the probability that a person in this survey, chosen at random, preferred the new soft drink
Answer:
Step-by-step explanation:
The possibility is 48/200
The probability of people preferred the new soft drink is 6/25.
To find the probability.
What is probability?probability is the ratio of the number of favorable outcomes and the total number of possible outcomes.
Given that:
Total number of people taste test=200
Number of people who participated new soft drink=48
Number of people who participated old soft drink=112
Number of people who participated could not tell any difference=40
So, the probability of people preferred the new soft drink=
favorable outcome/total number of outcome
probability of people preferred the new soft drink=48/200
probability of people preferred the new soft drink=6/25
So, the probability of people preferred the new soft drink is 6/25.
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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]
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°.
Find the range of the data. 45,76,98,21,52,39
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 :)
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:
help help exponents help
Answer:
3
Step-by-step explanation:
The base is the number below the exponent.
HELP ME PLEASEEEEEEEEEEEE
Answer:
A) 3.5 m
Step-by-step explanation:
3.5 x 2 = 7/2 = 3.5
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:
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
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)
If x= 4, calculate the value of: 3x2 + 4x
Answer:
64Step-by-step explanation:
x = 4
Substitute x and calculate:
3x² + 4x = 3(4²) + 4(4) = 48 + 16 = 64Tricia 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