Answer:
The answer is option AStep-by-step explanation:
Since it's a right angled triangle we can use trigonometric ratios to find the value of x
To find the value of x we can use either sine or cosine
Using sine we have[tex] \sin(30) = \frac{5}{x} \\ x \sin(30) = 5 \\ x = \frac{5}{ \sin(30) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}[/tex]
Using cosine we have[tex] \cos(60) = \frac{5}{x} \\ x \cos(60) = 5 \\ x = \frac{5}{ \cos(60) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}[/tex]
Hope this helps you
PLEASE ANSWER WILL GIVE BRAINLIEST
You are considering a $3,500 investment. The table shows the possible outcomes in cash flow next year. What is the expected rate of return on this asset?
(see attachment)
Answer:
The expected rate of return is $442.5
Step-by-step explanation:
The expected rate of return is given by the following formula;
[tex]E[R] = \displaystyle\sum_{i=1}^n R_i \times P_i[/tex]
Where;
E[R] = The expected return
[tex]R_i[/tex] = The return received in the instance i
[tex]P_i[/tex] = The probability for obtaining the return, [tex]R_i[/tex], in the instance i
n = The number of instances for the calculation
Therefore, we have;
The expected rate of return E[R] = 0.3 × 200 + 0.5×415 + 0.2 × 875 = $442.5
Answer the answer is D 12.6%
Step-by-step explanation:
Line segment AB is shown on a coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A line segment AB is shown with A as ordered pair 1, 3 and B as ordered pair 5, 3. The line segment is rotated 270 degrees counterclockwise about the origin to form A′B′. Which statement describes A′B′? (5 points) A′B′ is parallel to AB. A′B′ is half the length of AB. A′B′ and AB are equal in length. A′B′ is greater than twice the length of AB.
Answer:
A′B′ and AB are equal in length.
Step-by-step explanation:
Given that the location of the points are at A(1, 3) and B(5, 3).
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.
Rigid transformation are transformation that preserves the shape and size when performed. Types of rigid transformation are reflection, rotation, translation.
Hence if AB is rotated 270 degrees counterclockwise about the origin to form A′B′, both A′B′ and AB are equal in length because rotation is a rigid transformation.
If A(x,y) is rotated 270 degrees counterclockwise about the origin, it becomes A'(y,-x).
Hence if AB is rotated 270 degrees counterclockwise about the origin to form A'(3, -1), B'(3, -5)
[tex]AB=\sqrt{(5-1)^2+(3-3)^2} =4\\\\A'B'=\sqrt{(3-3)^2+(-5-(-1))^2}=4,[/tex]
Q5. A car is bought for £5000 and sold for £7500.
What is the percentage profit?
Answer:
50% profit
Step-by-step explanation:
Cost price = £ 5000
Selling price = £ 7500
Profit = Selling price - cost price
= 7500 - 5000
= £ 2500
Profit percentage = [tex]\frac{2500}{5000}*100[/tex]
= 50 %
Write the equation of the line that passes through the given points.
(0,4) and (5,10)
Answer:
y = [tex]\frac{6}{5}[/tex]x + 4
Step-by-step explanation:
Use the slope formula and slope-intercept form y=mx+b to find the equation.
Find the surface area of the cube shown below
Answer:
the answer is 37.5cm^2
Anup bought 50 glasses
for Rs 1800
out of which 4 were broken. If
he sold the rest of the
glasses for Rs. 35 each. How much
profit or loss percentage did
he bear?
Step-by-step explanation:
50 glasses for Rs 1800
4 broken
sold each for Rs.35 each
50-4=46
35*46=1610
Simplify five to the power of -4 over five to the power of three plzzzz answer
Answer:
5^-4= 0.0016
5^3= 125
Step-by-step explanation:
HELP WIL GIVE BRAINLEIST
Answer:
Sorry and where is your questions..
Can someone please help me asap??? I’ll mark brainlist !!!!
Answer:
b
Step-by-step explanation:
Answer:
b or a
Step-by-step explanation:
what is the simplest form of 8y-4x=-56 ?
About the only thing you can do with it is divide both sides by 4.
Then you have
2y - x = -14
For homework, Olivia had to complete 15 problems. She completed 6. What is the ratio of problems she still has to complete to the number of completed problems
Answer:
3:5
hope this helped :)
Evaluate the following and express the answer in scientific notation.
2.44 × 10^ −10 ÷ 4 × 10^ −6
Answer: 6.1e-17
Step-by-step explanation:
the evaluated expression in scientific notation is 6.1 × 10⁻⁵.
To evaluate and express the answer in scientific notation, we can simplify the expression and adjust the decimal point and exponent accordingly.
2.44 × 10⁻¹⁰ ÷ 4 × 10⁻⁶
First, divide 2.44 by 4, which gives us 0.61.
Next, subtract the exponents by applying the division rule for exponents:
10⁻¹⁰ ÷ 10⁻⁶ = 10⁽⁻¹⁰⁻⁽⁻⁶⁾⁾ = 10⁽⁻¹⁰⁺⁶⁾ = 10⁻⁴
Therefore, the simplified expression is 0.61 × 10⁻⁴.
To express the answer in scientific notation, we can move the decimal point one place to the right, resulting in 6.1 × 10⁻⁵.
Hence, the evaluated expression in scientific notation is 6.1 × 10⁻⁵.
Learn more about scientific notation here
https://brainly.com/question/24129248
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Help me please, very important!!! (PLEASE)
Read the question carefully!
A gymnastics school offered a special for enrollment where a new student could enroll for half the price after paying a $17.50 application fee. Twelve new students enrolled, and the school collected $750. Which equation can be used to find p, the regular price of enrollment?
Answer:
12 (p/2 + 17.50) = 750 equation can be used to get regular price of enrollment.
Step-by-step explanation:
So when a new student gets enrolled by paying a $17.50 application fee and gets a value of price halved at p/2
where p = regular price of enrollment
So in reality, for the student to be enrolled he/she must pay = (p/2) + $17.50 application fee to be able to get that special offer.
So Twelve new students enrolled, meaning they paid: 12 (p/2 + 17.50 application fee)
The amount they all paid is $750.
To get the regular price of enrollment from the price that included the application fees, the equation to use would be: 12 (p/2 + 17.50) = 750
The correct answer is 12 ([tex]\frac{p}{2}[/tex] + 17.50) =750
Explanation:
In mathematics, an equation represents equality; this means mathematical expressions are placed to the sides of the equality sign and these have the same value. Moreover, if an equation is written based on a situation or description, the values should include the appropriate mathematical symbols (+, -, x, etc) depending on how each of the factors in the equation relates.
In the case presented, it is known the total collected was $750 and due to this, this value should be placed to one side of the symbol =. Moreover, this value was obtained as students paid 17.50 of the application fee plus half of the price. This can be written as [tex]\frac{p}{2}[/tex] (a half price or price divided 2) + 17.50 (application fee). Finally, these two values should be multiplied by 12 (number of students that paid). According to this, the equation is 12 ([tex]\frac{p}{2}[/tex] + 17.50) =750.
Simplify 3n+7-n-3
Thank you!
combine all like terms!
that would be 3n-n and 7-3, which would leave you with 2n and 4
simplified, it would be 2n+4 :)
2q − q = 18 what does q=
Answer:
18
Step-by-step explanation:
Because -1 q would make it a positive 1q (q) so q=18
Given three collinear points A, B and C. How many line segments do
they determine? Name them.
Answer:
Three segments: AB, BC, AC
Step-by-step explanation:
Remember to put the line on top since they’re segments.
Hope this helps!
4. 4 movie tickets cost $56.00. At this rate, what is the cost
per ticket?
Answer:$14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
14 x 4= 56
Katie wants to buy a bracelet. She only has $30 to spend. She has found a bracelet with a regular price of $45 and a discount of 35%. If the sales tax is 7%, will she have enough to buy the bracelet? If so, how much money will Katie have left? If not, how much more money will she need?
Given :
Money Katie has, M = $30.
She has found a bracelet with a regular price of $45 and a discount of 35%.
The sales tax is 7%.
To Find :
Will she have enough to buy the bracelet.
Solution :
Original price = $45 .
Price after discount = $( 45 - 45×0.35) = $29.25 .
Selling Price = $( 29.25 + 29.25×0.07 ) = $31.2975 .
Since, selling price is greater than $30.
Money needed = $( 31.2975 - 30 ) = $1.2975 .
Therefore, Katie will not buy the bracelet.
Plz help me I’ll give brainliest
Answer:
it is A i could be wrong
Step-by-step explanation:
I am really behind and I REALLY need help... I am giving every point I have for this...
Answer:
Get ahead then
Step-by-step explanation:
Step-by-step explanation:
Shorts cost $16
T-shirts cost $10
So:
16x + 10y ≤ 100
or
y ≤ -1.6x + 10
Then graph y = -1.6x + 10 and x = 2
Part b:
Using the graph, we can infer that there are two possible solutions:
A. 3 pairs of shorts and 4 t-shirts
B. 4 pairs of shorts and 2 t-shirts
6a. X = number of apples, Y = number of oranges
So:
x + y ≤ 20
0.24x + 0.8y ≤ 12
x ≤ 20 - y
0.24(20 - y) + 0.8 ≤ 12
= 4.8 - 0.24y + 0.8y ≤ 12
= 0.56y ≤ 7.2
y = 12.9 (You can use twelve because there can't be a fraction of an orange.)
x = 7.14 (again, because of fractions, round to 7.)
Therefore, she got 12 oranges and 7 apples.
Part 2:
Question 1:
Both equations are unbounded.
Question 2:
Both equations are unbounded.
Question 3:
Both equations are unbounded.
Question 4:
Both equations are unbounded.
Give me a moment to add question four's graph.
Which is the better buy, 6 bagels for $3.29 or 8 bagels for $4.15? Justify your answer.
Answer:
The better deal is 8 bagels for $4.15
Step-by-step explanation:
6 bagels for $3.29
3.29/ 6 = $.54833333 per bagel
8 bagels for $4.15
4.15/ 8 =$.51875 per bagel
The better deal is 8 bagels for $4.15
Answer:
buy 8 bagles
Step-by-step explanation:
because you can get more for less like if their were selling toy cars 4 for 2 and at the truth store it was 10 for 1 wich would you rather choose
y=x-2
HELP MY RSM IS TOMORROW
Graph the lines given by the equation
Answer:
make a line going through points (2,0) and (0,-2) I put a picture.
Step-by-step explanation:
Work out the volume of this sphere. Radius is 4cm
Give your answer rounded to 1 DP.
Answer:
268.08257
Step-by-step explanation:
v=4/3πr^3=4/3•π•4/3=268.08257
PLS HELP ILL MARK YOU BRAINEST THIS IS DUE IN 30 minssss
This is how it is solved :
13(y+3)=13y+39
Step 1: Simplify both sides of the equation.
13(y+3)=13y+39
(13)(y)+(13)(3)=13y+39(Distribute)
13y+39=13y+39
Step 2: Subtract 13y from both sides.
13y+39−13y=13y+39−13y
39=39
Step 3: Subtract 39 from both sides.
39−39=39−39
0 = 0
Hence we say that 13(y+3)=13y+39 will have infinitely many solutions .
Box of 36 rubber bands he used 1/4 of the rubber bands in the box how many rubber bands did use
Pleas help
Answer:
He used 9 rubberbands.
pls give me brainliest if correct.
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
36 divided by 1 over 4 equals 9
9+9+9+9=36
1+1+1+1=36
-----------
4 4 4 4
What's the solution: 7x = 5x - 25 + 30
Answer:
[tex]x= \frac{5}{2}[/tex]
Step-by-step explanation:
1) First, Simplify 5x-25+30 to 5x+5.
7x = 5x + 5
2) You then Subtract 5x from both sides.
7x − 5x = 5
3) Simplify 7x-5x to 2x.
2x = 5
4) Lastly, Divide both sides by 2.
[tex]x=\frac{5}{2}[/tex]
Decimal Form: 2.5
Answer:
X= 5/2
Step-by-step explanation:
7x=5x-25+30
_5x -5x
2x=-25+30
2x=5
/2. /2
x=5/2
3x−8≤23 AND −4x+26≥63,
Write the ratio 12 dollars for 3 tickets as a unit rate
Answer:
12:3
Step-by-step explanation:
Mr. Bartol bought 20 pizzas for a 6th grade party. The total cost was
260.
w much does 1 pizza cost?
Answer:13
Step-by-step explanation: