[tex]\sf Sine \ Rue : \ \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
Given following:
A = 56°B = 77°a = 38 mb = ? mSolve for b (distance between school and mall):
[tex]\dashrightarrow \sf \dfrac{\sin 56}{38} = \dfrac{\sin 77}{b}[/tex]
[tex]\dashrightarrow \sf b= \dfrac{38\sin 77}{\sin 56}[/tex]
[tex]\dashrightarrow \sf b= 44.6615 \quad \approx \quad 45[/tex]
You are invited to a family gathering to celebrate the "Happiness day" and you are in charge
of bringing the sweets. And since "you can't buy happiness, you can buy a Polar Pizza from
Baskin Robbins and that's kind of the same thing". You contact Baskin Robbins to provide
you with the cost of Polar Pizza per in² so you can decide which Polar Pizza size is the
best deal.
Baskin Robbins Polar Pizzas come in two different sizes as listed below.
Size
Price
Diameter
Large
$12
Medium
$10
12 inches
14 inches
1. In the table below, find the area of each pizza and the cost per in². Show your work.
Answer:
first one
Step-by-step explanation:
because its cheap as for 1 NM it would be 10$ which is 2.5 AED so yehh
write an equation of the line that passes through (-6, 6) and is parallel to the line y = -2x + 2.
Answer:
y = -2x - 6
Step-by-step explanation:
We know that the slopes of the lines are equal when the lines are parallel to each other.
So, the equation of the given line is y = -2x + 2.
Here,
y = mx + c
y = -2x + 2
slope ⇒ m ⇒ -2
Therefore, the slope of the new line will be ( - 2 ).
And now we have to find the y-intercept ( c ).
For that let us use the given coordinate.
( -6 , 6 ) ⇒ ( x , y )
To find the y-intercept we have to make c the subject of the equation y mx + c.
Also, we have to replace m with ( - 2 ) as the slope of the new line is -2.
Let us solve it now.
y = m x + c
6 = -2 × -6 + c
6 = 12 + c
6 - 12 = c
-6 = c
Now we have found that,
m ⇒ - 2
c ⇒ -6
And now let us write the equation of the line.
y = m x + c
y = -2x - 6
Gabby is a makeup artist and carries a lot of makeup around with her. she has 20 cosmetics in her bag, including 4 eye shadows. what is the probability that a randomly selected makeup item from her bag will be an eye shadow? write your answer as a fraction or whole number.
The probability that a randomly selected makeup item from her bag will be an eye shadow is 1/5 or 20%.
The probability of selecting an eye shadow from Gabby's bag can be calculated by dividing the number of eye shadows in the bag by the total number of cosmetics in the bag.
There are 4 eye shadows in Gabby's bag, and a total of 20 cosmetics. Therefore, the probability of selecting an eye shadow is:
P(eye shadow) = 4/20 = 1/5
This means that there is a 1 in 5 chance, or a 20% chance, that a randomly selected makeup item from Gabby's bag will be an eye shadow.
The probability can be expressed as a fraction or a whole number, depending on the context of the problem. In this case, we can express the probability as the fraction 1/5, which means that out of 20 possible cosmetics, only 4 are eye shadows.
We can also express the probability as the whole number 0.2 or 20%, which represents the proportion of eye shadows in Gabby's bag.
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PLS I NEED 100% TO GET A GOOD MATH GRADE THIS YEAR
The following box plot shows the number of years during which 24 schools have participated in an interschool swimming meet:
At least how many schools have participated for 1 year or less? (5 points)
6 schools
8 schools
12 schools
14 schools
1 year or less is at the first quartile mark in the box plot, therefore, the number of schools that participated for a year and less is: A. 6 schools.
What is the First Quartile of a Data Represented in a Box Plot?The data point at the beginning of the edge of the rectangular box in a box plot is the first quartile mark of the data, which is 1/4 or 25% of the data.
1 year or less is at the first quartile mark in the box plot. That is 1/4 of the total number of schools.
Therefore, schools that participated for a year and less = 1/4(24) = 6 schools.
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Which expression is equivalent to - 14.6 - (- 5.75) - 8.4
Answer:
-17.25
Step-by-step explanation:
solve/answer the question and help me understand this question please
thank you to all user that will help me!
Answer:
5.25 m
Step-by-step explanation:
A diagram can help you understand the question, and can give you a clue as to how to find the answer. A diagram is attached. The problem can be described as finding the sum of two vectors whose magnitude and direction are known.
__
understanding the directionIn navigation problems, direction angles are specified a couple of different ways. A bearing is usually an angle in the range [0°, 360°), measured clockwise from north. In land surveying and some other applications, a bearing may be specified as an angle east or west of a north-south line. In this problem we are given the bearing of the second leg of the walk as ...
N 35° E . . . . . . . 35° east of north
Occasionally, a non-standard bearing will be given in terms of an angle north or south of an east-west line. The same bearing could be specified as E 55° N, for example.
the two vectorsA vector is a mathematical object that has both magnitude and direction. It is sometimes expressed as an ordered pair: (magnitude; direction angle). It can also be expressed using some other notations;
magnitude∠directionmagnitude cis directionIn the latter case, "cis" is an abbreviation for the sum cos(θ)+i·sin(θ), where θ is the direction angle.
Sometimes a semicolon is used in the polar coordinate ordered pair to distinguish the coordinates from (x, y) rectangular coordinates.
__
The first leg of the walk is 3 meters due north. The angle from north is 0°, and the magnitude of the distance is 3 meters. We can express this vector in any of the ways described above. One convenient way is 3∠0°.
The second leg of the walk is 2.5 meters on a bearing 35° clockwise from north. This leg can be described by the vector 2.5∠35°.
vector sumThe final position is the sum of these two changes in position:
3∠0° +2.5∠35°
Some calculators can compute this sum directly. The result from one such calculator is shown in the second attachment:
= 5.24760∠15.8582°
This tells you the magnitude of the distance from the original position is about 5.25 meters. (This value is also shown in the first attachment.)
__
You may have noticed that adding two vectors often results in a triangle. The magnitude of the vector sum can also be found using the Law of Cosines to solve the triangle. For the triangle shown in the first attachment, the Law of Cosines formula can be written as ...
a² = b² +o² -2bo·cos(A) . . . . where A is the internal angle at A, 145°
Using the values we know, this becomes ...
a² = 3² +2.5² -2(3)(2.5)cos(145°) ≈ 27.5373
a = √27.5373 = 5.24760 . . . . meters
The distance from the original position is about 5.25 meters.
_____
Additional comment
The vector sum can also be calculated in terms of rectangular coordinates. Position A has rectangular coordinates (0, 3). The change in coordinates from A to B can be represented as 2.5(sin(35°), cos(35°)) ≈ (1.434, 2.048). Then the coordinates of B are ...
(0, 3) +(1.434, 2.048) = (1.434, 5.048)
The distance can be found using the Pythagorean theorem:
OB = √(1.434² +5.048²) ≈ 5.248
a man drove 180 km in 2 hours what was his speed
speed = distance/time
speed = 180/2
speed = 60km/hr
hope it helps...!!!
What is the axis of symmetry of h(x) = 5x2 40x 64?
The axis of symmetry of h(x) = 5x2 + 40x + 64 = -4
The formula for calculating the axis of symmetry is expressed as:
Axis of symmetry x = -b/2a
h(x) = 5x^2 + 40x + 64
a = 5 and b = 40
How do I solve this?
a) Recall the integration by parts formula:
[tex]\displaystyle \int u \, dw = uw - \int w \, du[/tex]
Then with [tex]u = x[/tex] and [tex]dw = e^x\,dx[/tex] we have
[tex]\displaystyle v = \int e^x x \, dx = xe^x - \int e^x \, dx[/tex]
[tex]\implies \boxed{v = xe^x - e^x + C}[/tex]
since [tex]w=\int e^x\,dx=e^x[/tex] and [tex]du=dx[/tex]. (C is of course an arbitrary constant that can be determined exactly if you know the velocity at some given value of x.)
b) No?
[tex]\displaystyle \int e^xx\,dx = \int xe^x\,dx[/tex]
because multiplication is commutative. I get the feeling I'm missing something here...
Find two numbers such that their product is four and the sum of their squares is seventeen.
The system of equations of two unknowns is formulated and solved.
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left\{\begin{matrix} \ x\times y = 4 \\ x^2+y^2 = 17 \end{matrix}\right. \ \Longrightarrow \ y=\dfrac{4}{x}} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ x^2+\left (\dfrac{4}{x} \right )^2=17\ \Longrightarrow\ x^4+16=17x^2 } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \begin{align*} 0&=(x^2)^2-17(x^2)+16\\ =(x^2-16)(x^2-1) \\ \ \ \ \ \ \ \ \ \ \ =(x+4)(x-4)(x+1)(x-1) \end{gathered}$}[/tex]
Possible number pairs are 4, 1 and -4, -1 .
what is the center of the circle given by the equation (x-2)2+(y+4)2=6
Answer:
(2,-4)
Step-by-step explanation:
Here, h=2 and k=-4, so the center is (2,-4)
10) Eve has a fall job to pick pumpkins at the farm.
She earns $4.00 every 12 minutes that she picks pumpkins.
• She earns $4.40 every 12 minutes that he picks apples.
• She picked pumpkins for an hour and apples for 48 minutes.
How much money did Eve earn?
For pumpkins
Total 12mins sets
1hr/12min60min/12min5earnings
4(5)$20.00For apples
Total 12 mins
48/124Earnings
4(4.40)$17.60Total earnings
20.00+17.60$37.60Answer:
$37.60
Step-by-step explanation:
Eve earns:
$4.00 per 12 minutes spent picking pumpkins$4.40 per 12 minutes spent picking applesMoney earned from picking pumpkins:
1 hour = 60 minutes
[tex]\begin{aligned}\implies \sf Money\:earned & = \sf Salary \times 60\:minutes\\\\& = \sf \$4.00\:per\:12\:minutes \times 60\:minutes\\\\& =\sf \dfrac{\$4.00}{12\:minutes} \times 60\:minutes\\\\ & = \sf \$4.00 \times \dfrac{60\:minutes}{12\:minutes}\\\\ & = \sf \$4.00 \times 5\\\\ & = \sf\$20.00\end{aligned}[/tex]
Money earned from picking apples:
[tex]\begin{aligned}\implies \sf Money\:earned & = \sf Salary \times 48\:minutes\\\\& = \sf \$4.40\:per\:12\:minutes \times 48\:minutes\\\\& =\sf \dfrac{\$4.40}{12\:minutes} \times 48\:minutes\\\\ & = \sf \$4.40 \times \dfrac{48\:minutes}{12\:minutes}\\\\ & = \sf \$4.40 \times 4\\\\ & = \sf\$17.60\end{aligned}[/tex]
Total earned:
= money earned from picking pumpkins + money earned from picking apples
= $20.00 + $17.60
= $37.60
The coordinates of A,B,C are(6,3),(-3,5),(4,-2) respectively and P(x,y) is any point,prove that∆PBC/∆ABC=x+y-2/7
The solution to the coordinates of A,B,C as (6,3),(-3,5),(4,-2) and the prove that ∆PBC/∆ABC=x+y-2/7 is given in the image attached.
What is coordinates?This is known to be that which is created by two part that are known to give the latitude and longitude position of a person or place.
Therefore, The solution to the coordinates of A,B,C as (6,3),(-3,5),(4,-2) and the prove that ∆PBC/∆ABC=x+y-2/7 is given in the image attached.
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Triangle ABC has perimeter 22 cm.
AB = 8 CM
BC = 5cm
By calculation, deduce whether triangle ABC is a right-angled triangle.
Answer:
Triangle ABC is not a Right Triangle
Step-by-step explanation:
The perimeter of a triangle is all of the sides added together so we can model our equation like so:
AB + BC + CA = P
or
8 + 5 + CA = 22
We first combine like terms
13 + CA = 22
Then make the variable have no numbers on its side
13 + CA = 22
-13 -13
CA = 9
So now that we know what CA is, we can determine whether or not its a right triangle
We can use the Pythagorean Theorem for this:
a^2 + b^2 = c^2 (the '^' symbol means 'to the power of')
or
5^2 + 8^2 = 9^2
Now we Solve
5^2 = 25
8^2 = 64
9^2 = 81
25 + 64 =? 81
89 does not equal 81
So Triangle ABC is not a Right Triangle
Solve for X. Round to the nearest tenth.
IMAGE ABOVE
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER
Answer:
x ≈ 95.6
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationship between trig functions and sides of a right triangle. Here, the hypotenuse of the triangle and the side adjacent to the given angle are marked, so the relationship of choice is ...
Cos = Adjacent/Hypotenuse
__
Using the values shown, we have ...
cos(15°) = x/99
Solving for x gives ...
x = 99·cos(15°) ≈ 95.6
The length of the side marked x is about 95.6 units.
Select the correct answer.
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
12x^9y^4 / 6x^3y^2
[tex]2x^6y^2[/tex]The equivalent expression to the given expression is [tex]2x^6y^2[/tex] (option D)
How to determine the equivalent expression?An expression in mathematics is a fusion of numbers, variables, and operators that embodies a mathematical entity. Expressions possess the ability to symbolize magnitudes, functions, and connections, exhibiting versatility and finesse.
Expressions are used in many different areas of mathematics. They are used to represent quantities, functions, and relationships.
To determine the given expression, lets start:
[tex](12x^9y^4)/(6x^3y^2)[/tex]
= [tex](12/6) x^(^9^-^3^) y^(^4^-^2^)[/tex]
= [tex]2x^6y^2[/tex]
Therefore, the equivalent expression to [tex](12x^9y^4)/(6x^3y^2)[/tex] is [tex]2x^6y^2[/tex]
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Said deposited sh 56 800 in a SACCO, which paid simple interest at the rate of 12% 1 per annum. After sometime he withdrew all his money from the SACCO amounting to sh 62 125. For how long was the money in the sacco?
Answer:
time=t= 9.36 months.........
The money was in the SACCO for a time of 0.78125 years.
What is Simple Interest?Simple interest is defined as the interest obtained over the principal amount on a certain rate.
Given that,
Amount of money deposited or principal amount = 56,800
Rate of interest = 12% = 12/100 = 0.12
Final amount = 62,125
The formula for simple interest is,
A = P(1 + rt), where A is the final amount, P is the principal amount, r is the interest rate and t is the time.
Substituting,
56800 (1 + 0.12t) = 62125
1 + 0.12t = 1.09375
0.12t = 0.09375
t = 0.78125 years
Hence the time that the money kept for is 0.78125 years.
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Find the equation
of the line
that goes through (-3,4) and
(6,7) in the form of y=mx+b.
Answer:
y = (1/3)*x + 5
Step-by-step explanation:
Step 1: determine slope or m
m = change in y-coordinates ÷ change in x-coordinates
m = (4-7)/(-3-6) = -3/-9 = 1/3
Step 2: determine y-intercept or b
y = m*x + b
y = (1/3)*x + b
4 = (1/3)*(-3) + b
4 = -1 + b
b = 5
Step 3: substitute values for m and b into the slope intercept equation
y = (1/3)*x + 5
If f(x) = x2 2x 3, what is the average rate of change of f(x) over the interval [-4, 6]?
Answer:
see the attachment photo!
for each sequences, find the first 4 term and the 10th term the sequences are
(a) n^2+3
(b)2n^2
Answer:
see explanation
Step-by-step explanation:
to find the first 4 terms substitute n = 1, 2, 3, 4 into the sequence rule
to find the 10th term substitute n = 10 into the rule
(a)
a₁ = 1² + 3 = 1 + 3 = 4
a₂ = 2² + 3 = 4 + 3 = 7
a₃ = 3² + 3 = 9 + 3 = 12
a₄ = 4² + 3 = 16 + 3 = 19
a₁₀ = 10² + 3 = 100 + 3 = 103
(b)
a₁ = 2(1)² = 2(1) = 2
a₂ = 2(2)² = 2(4) = 8
a₃ = 2(3)² = 2(9) = 18
a₄ = 2(4)² = 2(16) = 32
a₁₀ = 2(10)² = 2(100) = 200
find the slope of a line perpendicular to the line containing (-5,-3) and (10,2)
Answer:
slope = 1/3
Step-by-step explanation:
slope,m = vertical change/ horizotal change
that means (-3)-2/(-5)-10 or 2-(-3)/10-(-5)
and we got -5/-15 or 5/15.
So the answer is 1/3.
(THIS IS IMPORTANT!!! I NEED RIGHT NOW)
The table below shows the linear relationship between the number of weeks since birth and the weight of Samuel’s pet rabbit. Based on the table, what is the rate of change of the weight of the rabbit in pounds per week? Write your answer as a whole number or a decimal.
Based on the table, the rate of change of the weight of the rabbit in pounds per week will be 1.75 pounds.
How do explain the linear relationship?In the first week, there's 9.5 pounds. This can be illustrated using the arithmetic progression. The formula will be:
= a + (n - 1)d
where,
a = first term
d = common difference
3rd term = a + 2d
13 = 9.5 + 2d
2d = 13 - 9.5
2d = 3.5
d = 3.5/2
d = 1.75
Therefore, the rate of change of the weight of the rabbit in pounds per week will be 1.75 pounds.
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Question 4 of 10
Solve (x-4)²2 = 5.
OA. x=-4± √5
OB. x=5± √√4
OC. x=9 and x = -1
OD. x=4± √5
Step-by-step explanation:
Solve the following equation for x.
10 = 2 – 4(ar – 3)
OA. -
a
OB.
Oc.
OD.
5
a
The equation for the (x-4)²2 is 5. x=4± √5. Hence, option D is correct.
What is a quadratic equation?Due to the fact that they contain two or more algebraic terms, quadratic equations fall within the category of polynomial equations. It must equal 0 in order to solve a quadratic equation. There can be zero, one, or two (true) solutions to a quadratic equation.
To solve the equation (x - 4)² = 5, we can start by taking the square root of both sides:
√[(x - 4)²] = ±√5
This gives us two possible equations:
x - 4 = √5 or x - 4 = -√5
Now it can add 4 to both sides of each equation:
x = 4 + √5 or x = 4 - √5
So the solutions to the equation (x - 4)² = 5 are x = 4 + √5 and x = 4 - √5.
Thus, option D is correct.
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The given equation is wrong, the correct equation is given below-
(x-4)²2 = 5.
The population of a small town has a decay rate of 0.5% every year. If I had 58,000 people in 2011, how many will they have today.
Answer:
If I am not mistaken the number is 54,810.
Hope I helped.
Help asap!!!! WILL MARK BRAINLIEST
Step-by-step explanation:
un is the balance of the loan after n years.
so,
u12 is the balance of the loan after 12 years.
If f(x)=5x-4, what is the value of f(3)?
Answer:
11 hope this helps you and write
I need help asap please? and this is for the math question? what is the missing side and exterior angle of the triangle?
Answer:
the missing angle is 30 and the missing exterior angle is 150
Step-by-step explanation:
180-90=90-60=30
180-30=150
Answer: Exterior angle = 150 degrees
Step-by-step explanation:
Hope that helps!
:)
El 62% de las personas de una fiesta son mujeres y hay 95 hombres, ¿cuantas mujeres hay en la fiesta?
solve y=mx+b for x
please help me
Answer:
x = (y - b)/m.
Step-by-step explanation:
y=mx+b
Subtract b from both sides :-
y - b = mx
Divide both sides by m:-
(y - b) /m = x.
Find the measure of
Answer:
h=70°
Step-by-step explanation:
h + 110° = 180° {linear pair angles}
h = 180° - 110°
h = 70°
Answer:
h=70
pa brainliest po kuya/ate
Step-by-step explanation:
pa brainliest po