Answer: 16
Step-by-step explanation:
Two farmhouses A and B are 10.3 km apart. A third farmhouse C is located such
that angle A=83◦ and angle B=59◦. How far is C from A?
Answer:
Distance between A to C is 16.62km
Step-by-step explanation:
See attached document to get a better illustration of the angle.
A = 83°
B = 53°
C = ?
180° = 83° + 53° + C (sum of angles in a triangle is equal to 180°)
180° = 142° + c
C = 180 - 142
C = 38°
To find the distance AC, we have to use sine rule.
a / sin(A) = b / sin(B) = c / sin(C)
a / sin(A) = c / sin(C)
a /sin83 = 10.31 / sin38
Cross multiply
10.31 * sin83 = a * sin38
10.23 = (0.61566)a
a = 10.23 / 0.61566
a = 16.616 km
a = 16.62km
The distance between A and C is 16.62km
Find the midpoint m of AB
The midpoint m of line segment AB, with a length of 22 units, is located at 11. Assuming A and B are evenly spaced, the midpoint is found using the formula [tex]\( m = \frac{{A + B}}{2} \)[/tex].
To find the midpoint m of line segment AB, where AB has a length of 22 units, we use the midpoint formula: [tex]\( m = \frac{{A + B}}{2} \)[/tex].
Here, A and B are the coordinates of the endpoints of AB.
Since no specific coordinates are provided, let's assume A and B are equally spaced on the line.
If A = 0 and B = 22, the midpoint m would be [tex]\( \frac{{0 + 22}}{2} = 11 \)[/tex].
Therefore, the midpoint of AB is 11.
To find the midpoint of line segment AB, use the midpoint formula by averaging the x-coordinates and y-coordinates of the endpoints A and B.
Explanation:The midpoint of a line segment AB can be found by using the midpoint formula. The formula is:
(x1 + x2) / 2, (y1 + y2) / 2
where (x1, y1) and (x2, y2) are the coordinates of points A and B respectively.
Plug in the values for the coordinates of A and B, and calculate the midpoint coordinates.
The question asks to find the midpoint of a line segment AB. To find this midpoint, one would typically use the midpoint formula, which is derived from the average of the x-coordinates and y-coordinates of the endpoints of the segment. The question seems to be associated with a geometry or physics context, but the process to find the midpoint remains the same. It involves adding the x-coordinates of both endpoints and dividing by 2 to find the x-coordinate of the midpoint, and doing the same with the y-coordinates for the y-coordinate of the midpoint.
what’s the slope of this line?
Answer:
-1
Step-by-step explanation:
The formula for slope is: [tex]\frac{y_1-y_2}{x_1-x_2}[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are points
Plug in (-5,3) and (-3,1) into the equation, and you get:
[tex]\frac{-5-(-3)}{3-1} =\\\frac{-2}{2} =\\-1[/tex]
The first quartile in a box-and-whisker plot would be located on what number?
Answer:
24.5
Step-by-step explanation:
When you round it you get 25. (sorry if im wrong) :(
Nita is using ribbon for gift boxes. She has 49 feet of ribbon. She needs to wrap 16 boxes of identical size. How much ribbon can she use on each box?
3 feet
3 1/16 feet
3 1/8 feet
3 7/16 feet
NEXT QUESTION
Answer:
The answer would be B or 3 1/16.
Step-by-step explanation:
A restaurant has 1/3 tray of baked pasta leftover after dinner. If 6 workers share the
remaining baked pasta equally, what fraction of a tray will each worker get?
Show your work.please
Answer:
1/18
Step-by-step explanation:
1/3 divided by 6 = 1/3 x 1/6
You can multiply by the reciprocal of a number instead of dividing
1/3 x 1/6 = 1/18
Answer: The answer is 1/18
Step-by-step explanation: starting with 1/3 breaking into 1/6
e-s-s: 1/3 / 1/6 = 1/3 . 1/6 = 1/18
Noah hopes to pick the winning ticket during her math class's raffle. The student who picks the ticket with a true statement will win. Which is the winning ticket?
a
2(x - 6) = -35 is equivalent to 2x = -23
b
8(x - 7) = 35 is equivalent to 8x = 28
c
9(x - 6) = -35 is equivalent to 9x = -29
d
4(x - 5) = 35 is equivalent to 4x = 40.
Answer:
Option a.
Step-by-step explanation:
We need to select correct statements form the given options.
[tex]2(x-6)=-35[/tex]
[tex]2x-12=-35[/tex]
[tex]2x=-35+12[/tex]
[tex]2x=-23[/tex]
Therefore, [tex]2(x-6)=-35[/tex] is equivalent to [tex]2x=-23[/tex].
[tex]8(x-7)=35[/tex]
[tex]8x-56=35[/tex]
[tex]8x=35+56[/tex]
[tex]8x=91[/tex]
Therefore, [tex]8(x-7)=35[/tex] is not equivalent to [tex]8x=28[/tex].
[tex]9(x-6)=-35[/tex]
[tex]9x-54=-35[/tex]
[tex]9x=-35+54[/tex]
[tex]9x=19[/tex]
Therefore, [tex]9(x-6)=-35[/tex] is not equivalent to [tex]9x=-29[/tex].
[tex]4(x-5)=35[/tex]
[tex]4x-20=35[/tex]
[tex]4x=35+20[/tex]
[tex]4x=55[/tex]
Therefore, [tex]4(x-5)=35[/tex] is not equivalent to [tex]4x=40[/tex].
Hence, option (a) is correct.
Answer:
A. 2(x - 6) = -35 is equivalent to 2x = -23
Step-by-step explanation:
just took the quiz
point
(Circles) What is the circumference of this circle, rounded to the nearest
tenth? Use 3.14 for T.
The radius of the cirde is 6 inches
6
in.
0
15.4 inches
18.8 inches
O
37.7 inches
O
113.0 inches
Answer:
37.68 or 37.7
Step-by-step explanation:
Circumference of a circle: 2πr
2 x 3.14 = 6.28
6.28 x 6 = 37.68 or 3.7
Find the circumference of the larger circle if the area of one of the smaller circles is 48 pi in^2.
A. [tex]4\sqrt{3\pi }[/tex] in.
B. [tex]8\sqrt{3 \pi }[/tex] in.
C. [tex]16\sqrt{3\pi }[/tex]in.
D. [tex]24\pi[/tex] in.
Answer:
C. 16√3π in.
Step-by-step explanation:
Circumference of a circle = 2πr where
r is the radius of the circle.
Given the area of one of the smaller circle to be 48π in², we can get the radius of one of the smaller circle.
If A = πr²
48π = πr²
r² = 48
r = √48 in
The radius of one of the smaller circle is √48.
To get the circumference of the larger circle, we need the radius of the larger circle. The radius R of the larger circle will be equivalent to the diameter (2r) of one of the smaller circle.
R = 2r
R = 2√48 inches
Since C = 2πR
C = 2π(2√48)
C = 4√48π in
C = 4(√16×3)π in
C = 4(4√3)π in
C = 16√3π in
Thw circumference of the larger circle is 16√3π in.
Step-by-step explanation:
Given two circa inscribed side by side inside a big circle, it is notice that the internal two circle are identical and diameter of the one the internal circles is equal to the radius of the big circle
So, we are given the area of one of the small circle, so from their we can find the radius of the small circle.
Area of small circle
A = 48π in²
Area of a circle is given as πr²
A = πr²
48π = πr²
Divide both side by π
48 = r²
Take Square root of both sides
r = √48 = √(16 × 3)
r = 4√3 in
Then, the diameter of the small circle is
d = 2r = 2 × 4√3
d = 8√3
So, the radius of the big circle is
R = d = 8√3
So, we want to find the perimeter of the big circle
The perimeter of a circle is calculated using
Perimeter = 2πr
P = 2πR
P = 2π × 8√3
P = 16π√3 in
So the correct option is C
P = 16√3 π in.
What is the standard form of (x+5)(x+5)
Answer:
x² + 10x + 25
Step-by-step explanation:
Given
(x + 5)(x + 5)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x + 5) + 5(x + 5) ← distribute both parenthesis
= x² + 5x + 5x + 25 ← collect like terms
= x² + 10x + 25 ← in standard form
the sum of two numbers is 35. the smaller number is 21 less than the larger number. What are the numbers?
Answer:
[tex]\huge\boxed{28\ and\ 7}[/tex]
Step-by-step explanation:
[tex]x-\text{the bigger number}\\(x-21)-\text{the smaller number}\\35-\text{the sum of numbers}\\x+(x-21)-\text{the sum of numbers}\\\\\text{The equation:}\\\\x+x-21=35\qquad\text{add 21 to both sides}\\\\x+x-21+21=35+21\\\\2x=56\qquad\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{56}{2}\\\\x=28\to x-21=28-21=7[/tex]
Answer:
28+7= 35
28 and 7 are the numbers
A square napkin is folded in half on the diagonal and placed on the diameter of a round plate (see diagram below). If the folded napkin spans the plate and the plate has an 18-inch diameter, what is the area of the space on the plate that is NOT covered by the napkin? Leave your answer in terms of .
Answer:
[tex]A=81(\pi-1)\ in^2[/tex]
Step-by-step explanation:
step 1
Find the area of the plate
The area of a circle is given by the formula
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=18/2=9\ in[/tex] ---> the radius is half the diameter
substitute
[tex]A=\pi (9)^{2}\\A=81\pi\ in^2[/tex]
step 2
Find the area of the square napkin folded (is a half of the area of the square napkin)
we know that
The diagonal of the square is the same that the diameter of the plate
Applying Pythagorean theorem
[tex]D^2=2b^2[/tex]
where
b is the length side of the square
we have
[tex]D=18\ in[/tex]
substitute
[tex]18^2=2b^2[/tex]
solve for b^2
[tex]b^2=162\ in^2[/tex] -----> is the area of the square
Divide by 2
[tex]162/2=81\ in^2[/tex]
step 3
Find the area of the space on the plate that is NOT covered by the napkin
we know that
The area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate
so
[tex]A=(81\pi-81)\ in^2[/tex]
simplify
[tex]A=81(\pi-1)\ in^2[/tex]
i need help on page 382 please on a and b
Answer:
5a) The number of red blocks increases by one every time while the blue one stays the same.
5b) The number of blue blocks increases by one every time while the red one stays the same.
Step-by-step explanation:
I don't really know how to explain this. The best way for you to understand this concept is to google algebraic expressions for pattern rules.
Paco had 13 cookies. He ate 6 of them. How many cookies does Paco have left? Show how you can solve this problem in 2 different ways.
Answer:
He has 7 cookies left
Step-by-step explanation:
13-6=7 7+6=13
Answer:
Step-by-step explanation:
The first way you can explain is the simple standard way of subtraction using 13-6=7 or you can count up from 6 to 13 and see how many numbers are found in between.
A cube has width of 7 cm What is the volume of the cube
Answer:
V =343 cm^3
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
V = 7^3
V =343 cm^3
Solve for u in terms of r, s, and t.
t= –rsu
u=
Answer:
u = - [tex]\frac{t}{rs}[/tex]
Step-by-step explanation:
Given
t = - rsu ( multiply both sides by - 1 )
- t = rsu ( divide both sides by rs )
- [tex]\frac{t}{rs}[/tex] = u
To find u in terms of r, s, and t given the equation t = -rsu, divide both sides by -rs to get u = -t / (rs).
To solve for u in terms of r, s, and t using the given equation t = -rsu, we need to isolate u. We do this by dividing both sides of the equation by -rs, which gives us u = -t / (rs). This shows that u is inversely proportional to the product of r and s, and directly proportional to -t.
3) Mrs. Noah’s bill, before tax, is $50. The sales tax rate is 3%. Mrs. Noah decides to leave a 2% tip for the gate keeper based on the pre-tax amount. How much will the total bill be, includingtax and tip?
Answer:
$52.50
Step-by-step explanation:
Start with $50
Add 2% Tip: $1 (50 x 0.02)
Add 3% Tax: $1.5 (50 x 0.03)
Total: $52.50
Answer:
52.50
Step-by-step explanation:
Because 3+2=5% and 5% of 50 dollars is 2.50 so 50+2.50 =52.50 dollars he is paying in total
Consider the power 34.
Which are correct descriptions of this power? Check all that apply.
The power is the product of 3 and 4.
The power is described as 3 to the fourth power.
The power means 3 factors of 4 are being multiplied.
The power can be expanded as 3 · 3 · 3 · 3.
The value of this power is 81.
Answer:
ok if its 3^4 then the answers are
the second one
the forth
and the fifth
Step-by-step explanation:
3^4 is (3)(3)(3)(3) so that equals 81 and the terminology is 3 to the power of 4
. You and a friend have dinner at a restaurant . Your meal costs $15.85 and you leave an 18% tip and your friend's meal cost $14.30 and he leaves a 20% tip. What is the difference in their total bills?
Answer:
$1.54
Step-by-step explanation:
18% of $15.85 is 2.853, so your total is $18.703
20% of $14.30 is 2.86, so their total is $17.16
So the difference is $1.543, rounded (since your dealing with money) would be $1.54
in our own words describe 0.32 meters
Answer:
0.32 meters = 0.32 × 100
32 centimetres
0.32 meters is equivalent to 32 centimetres
Answer:
0.32 meters is a unit of measurement. It is equal to 32 centimeters, 3.2 decimeters, and 0.00032 kilometers. A meter is a unit used to measure length and one meter is around a yard. The width of most doorways is around the length of one meter. Therefore, 0.32 meters is a very small amount.
what’s the slope of this line?
Answer:
3
Step-by-step explanation:
You find rise/run.
The rise is (5-(-7)), which is 12
The run is (1-(-3)), which is 4
12/4 = 3
Answer:
3 hope this helps! pic below :)
Step-by-step explanation:
y = 3x + 2
4*3s+7*2s simplified
Answer:
26s
Step-by-step explanation:
4 x 3 s + 7 x 2 s
12s + 14s = 26s
Answer:
26 s
Step-by-step explanation:
[tex]4 \ast3s + 7 \ast2s \\ = 12s + 14s \\ = 26s[/tex]
PLEASE HELP ! !
Identify the domain of the function.
A) (−2, 4)
B) (−3, 3)
C) [−2, 4]
D) [−3, 3]
Answer: A or C (i think A because its not including)
Step-by-step explanation:
How many solutions does -103x-6=-6x-103
Answer:
one solution
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Since this is a linear system, there can be 1, 0, or infinite solutions. In order to determine this, we need to solve this equation.
First, isolate the variables to one side:
0 = 97x -97
97x = 97
x = 1.
Thus there is one solution.
If we had gotten a statement such as 1 = 1, there would have been infinite.
If we had gotten a statement such as 1 = 0, there would have been no solution.
If f(1)=9 and f(n)=f(n-1)+2 then find the value of f(5)
Answer:
Step-by-step explanation:
hello :
f(n)=f(n-1)+2
means : f(n)-f(n-1)=2
this is the arithmetic seq when the common dif is d= 2 and the first term is : 9
the n-ieme term is : f(n) = f(1) +(n-1)d
f(n) =9+2(n-1)
f(n) = 2n+7
so : f(5) = 2(5)+7 = 17
Final answer:
The value of f(5) is determined by consecutively applying the given recursive relation, f(n) = f(n-1) + 2, starting from the initial condition f(1) = 9. After applying this process four times, we find that f(5) is 17.
Explanation:
f(1) = 9
f(n) = f(n-1) + 2
To find the value of f(5), we can use the recursive formula provided:
f(2) = f(1) + 2 = 9 + 2 = 11
f(3) = f(2) + 2 = 11 + 2 = 13
f(4) = f(3) + 2 = 13 + 2 = 15
f(5) = f(4) + 2 = 15 + 2 = 17
Quadrilateral D U C K is inscribed in circle O what is the measure of angle K?
Answer:
95°
Step-by-step explanation:
A water tank composed of a cylinder and 2 half spheres is shown below.
3ft high and 4ft long
The tank is being filled with drinking water by using a bucket that can hold 0.34 cubic feet of water. Emma is able to pour 5 full buckets into the tank every 3 minutes. How long will it take to fill the water tank completely at this constant rate? Use 3.14 for pi and round to the nearest whole minute.
The volume of the tank is __ cubic feet and it will be completely filled with water at the end of __ minutes.
Answer:
Hey i like your profile pic
Step-by-step explanation:
what is the slope of the line that passes through the points (2,4) and (6,12)
Answer:
12
Step-by-step explanation:
because yes
Answer: 2
Explanation: To solve this problem, it's important to understand that we don't need to graph the line but we can use our slope formula. One method you could use is the graphing method which requires you to plot the points but I will be showing you the slope formula.
[tex]m =\frac{ ^{y}2 - ^{y}1 }{x^{2} - x^{1} }[/tex]
We take our second y minus our first y
which in this case is 12 - 4
over our second x minus our first x
which in this case is 6 - 2.
So 12 - 4 over 6 - 2 simplifies to 8/4.
Notice that our slope can
be simplified one step further.
So 8/4 reduces to 2.
So the slope of the line that passes through these points is 2.
Which of the following is not a property for all parallelograms?
A. Opposite sides are parallel.
B. All sides have the same length.
C. Opposite angles are congruent.
D. The diagonals bisect each other.
Answer:
B. All sides have that same length, would be the correct answer.
Step-by-step explanation:
Answers A,C, and D are all properties for all parallelograms.
Option B, which states that all sides have the same length, is not a property for all parallelograms. It is only true for rhombuses, which are a special type of parallelogram.
Explanation:Among the options given, the one that is not a property for all parallelograms is:
B. All sides have the same length.This statement is not true for all parallelograms; it is a specific property of a subset of parallelograms known as rhombi (singular: rhombus), where all four sides are congruent. However, a general parallelogram only requires opposite sides to be of equal length, not all four sides. To clarify further:
Opposite sides are parallel - True for all parallelograms.Opposite angles are congruent - True for all parallelograms.The diagonals bisect each other - True for all parallelograms.The key distinction here is understanding that while rhombi share all the properties of parallelograms, not all parallelograms are rhombi.
Ellie bought 0.7kg of jelly beans from her local food festival for £1.89. She knows that to work out the price of a whole kg she simply needs to divide the price she paid by the quantity she bought.
Work out the price of 1kg of jelly beans.
Answer:
1.89£÷0.7kg=2.7£
To find the price of a whole kg you need to divide the price she paid by the quantity she bought.
Answer:
x = 2.7
Step-by-step explanation:
To find x
1) 1.89 ÷ 0.7 = 2.7
Thankyou