The central angles of the monthly budget of family B are 7.2 degrees, 57.6 degrees, 57.6 degrees, 64.8 degrees, 46.8 degrees, 100.8 degrees and 25.2 degrees, respectively
How to determine the central angles?The central angles of each family is calculated using:
Angle = Percentage * 360
Using the data on the circle graph, we have:
Taxes = 2% * 360 = 7.2 degrees
Housing = 16% * 360 = 57.6 degrees
Food = 16% * 360 = 57.6 degrees
Childcare = 18% * 360 = 64.8 degrees
Transportation = 13% * 360 = 46.8 degrees
Insurance = 28% * 360 = 100.8 degrees
Other needs = 7% * 360 = 25.2 degrees
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a
The diameter of a semicircle is 6 yards. What
is the semicircle's perimeter?
d=6 yd
Use 3.14 for a.
Given -
the diameter of a semicircle is 6 yards.ie. d = 6yd
ps - use 3.14 for a
To find -
the semicircle's perimeterSolution -
As we know the formula to find the perimeter of the semicircle is 2r + πr.
But A.T.Q we are only provided with the diameter. As we know that the radius is half of the diameter. ie, r = d/2.
Hence, d = 6
r = 6/2
r = 3 yd
Perimeter of semicircle = 2r + πr
Perimeter of semicircle = 2(3) + 3.14(3)
Perimeter of semicircle = 15.42 yd
Hence forth the semicircle's perimeter is 15.42 yd
The diameter of a semicircle is 6 yards. Find the perimeter of the semicircle?
❦ Explanation -:Given :
Diameter of the semicircleNeed to find :
PerimeterSolution :
[tex] \small \blue {\underline {\underline{{ \orange{\rm{ First \: we \: need \: to \: calculate \: the \: radius \: of \: the \: semicircle }}}}}}[/tex]
We know,
[tex] \large \star \: \: \large \underline{\boxed{ \rm{ Radius = \dfrac{Diameter}{2}}}}[/tex]
[tex] \small\rm{ Radius = \dfrac{6}{2} = 3 \: yards}[/tex]
[tex] \small{ \underline{ \underline{\rm \red{ Now \: we \: will \: calculate \: the \: perimeter \: of \: the \: semicircle }}}}[/tex]
We know,
[tex] \large\star \: \: \large \underline{\boxed{ \rm{ Perimeter_{(semicircle)} = πr + 2r}}}[/tex]
Where,
r stand for radiusAssuming π as 3.14Substituting the values we get
[tex] \small\bf{ Perimeter_{(semicircle)} = 3.14 × 3 + (2 × 3)}[/tex]
[tex] \small\rm{ Perimeter_{(semicircle)} = 9.42 \: + 6}[/tex]
[tex] \small\boxed{ \rm{ Perimeter_{(semicircle)} = 15.42 \: yards}}[/tex]
[tex] \rule{92mm}{3pt}[/tex]
4) Luther works at One Stop Smoothie Shop. At work today, he made 20 Berry Blast
smoothies. In each Berry Blast smoothie, there are 3 strawberries and b blueberries. Write
two expressions that represent the total number of berries in the Berry Blast smoothies that
Luther made today.
The expressions that represent the total number of berries in the Berry Blast smoothies that Luther made today is 3 + b = 20
How to write system of equationsLet the number of strawberries be x
Let the number of b berries be y
If at work today, he made 20 Berry Blast smoothies, then;
x + y = 20
SInce x = 3 and y = b, then;
3 + b = 20
The expressions that represent the total number of berries in the Berry Blast smoothies that Luther made today is 3 + b = 20
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A machine that assembels a car is an example of a
Answer:
Mechanical
Step-by-step explanation:
Those ttype of machines build epic cars
The roof of Sally’s house is a triangular prism. The angle at the top of this roof is a right angle and the measure of one of the interior angles is 45°. What is the measure of the unknown angle?
A. 45°
B. 55°
C. 35°
D. 25°
Answer: A
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees, so the unknown angle is 180-90-45=45 degrees.
Answer:
a
Step-by-step explanation:
5. The dot plot shows a random sample
of the number of migrating geese
flocks observed by 25 participants
during a two-day hike.
Day 1
Day 2
IN
+ +
+ + + + +
2 3 4 5 6 7 2 3 4 5 6 7
Number of Flocks Observed Number of Flocks Observed
Use the mean value of each data set to
make an inference about the number
of flocks observed each day.
Using the dot plot, the inference is that the number of flocks observed on the second day was less than in the first.
What does a dot plot show?The dot plot shows the number of times each measure appears in the data-set.
Hence, the mean of the data-set corresponding to day 1 is given by:
M1 = (4 x 4 + 7 x 5 + 7 x 6 + 7 x 7)/25 = 5.68
And the mean of the data-set corresponding to day 2 is given by:
M2 = (2 x 8 + 3 x 7 + 4 x 6 + 5 x 4)/25 = 3.24.
M1 > M2, hence, the inference is that the number of flocks observed on the second day was less than in the first.
More can be learned about dot plots at https://brainly.com/question/24912483
solve this please QUICKLY and explain
Directly solving the linear equations, we will see that:
a) x = -4b) x = 6c) x = 4/3d) x = 2.How to solve linear equations?
Let's start with the first one:
3 - x = 11 + x
First, move all the terms with x to the left side and the ones without to the right side:
-x -x = 11 - 3
-2x = 8
Now we divide both sides by -2
x = 8/-2 = -4
x = -4
2) 2x + 7 = 3x + 1
Same procedure:
2x - 3x = 1 - 7
-x = -6
x = -6/-1 = 6
x = 6
3) 8 - 2x = 4 + x
-2x - x = 4 - 8
-3x = -4
x = -4/-3 = 4/3
4) 4x + 2 = 2x + 6
4x - 2x = 6 - 2
2x = 4
x = 4/2 = 2
x = 2
So we solved all linear equations.
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PLS help im going insane
Answer:
B) 240
Step-by-step explanation:
If you want an explanation, just ask.
Hope this helps! Pls give brainliest!
passes through (-2, 1) and (2, -5)
I need to find the y=mx+b
Answer:
[tex]y = (-3/2)\, x + (-2)[/tex].
Step-by-step explanation:
If [tex](x_{0},\, y_{0})[/tex] is on the equation of the line [tex]y = m\, x + b[/tex], then substituting [tex]x = x_{0}[/tex] and [tex]y = y_{0}[/tex] into the equation would still give an equality: [tex]y_{0} = m\, x_{0} + b[/tex].
In this question, since [tex](-2,\, 1)[/tex] is a point on the line [tex]y = m\, x + b[/tex], equality shall still hold after substituting in [tex]x = (-2)[/tex] and [tex]y = 1[/tex]:
[tex]1 = m\times (-2) + b[/tex].
Similarly, since [tex](2,\, -5)[/tex] is a point on this line, equality shall still hold after substituting in [tex]x = 2[/tex] and [tex]y = (-5)[/tex]:
[tex](-5) = m\times 2 + b[/tex].
The unknowns of both equations are [tex]m[/tex] and [tex]b[/tex].
Solve this system of two equations and two unknowns:
[tex]\left\lbrace\begin{aligned}& (-2)\, m + b = 1\\ & 2\, m + b = (-5)\end{aligned}\right.[/tex].
[tex]\left\lbrace\begin{aligned}& m = -\frac{3}{2} \\ & b = -2\end{aligned}\right.[/tex].
Therefore, the equation of this line would be:
[tex]y = (-3/2)\, x + (-2)[/tex].
What is the correct answer for this?
Answer:
2.744 cubic milimeters
Step-by-step explanation:
Here,
Length ( l ) = 1.4 mm
Base ( b ) = 1.4 mm
Height ( h ) = 1.4 mm
l = b = h = 1.4 mm = a
To find : Volume
This shape is a cube.
Formula : -
Volume of cube = a³
Volume of cube
= 1.4³
= 1.4 x 1.4 x 1.4
= 2.744 cubic milimeters
[tex] \huge\fbox\orange{ANSWER} [/tex]
[tex] \mathsf \purple{v = l \times w \times h}[/tex]
[tex] \mathsf \pink{v = 1.4 \times 1.4 \times 1.4}[/tex]
[tex] \mathsf \purple{v = 2.744 {mm}^{3} }[/tex]
2.74 cubic millimeters
A population of bacteria is increasing by 10% cach hour. Find the percentage increase in the population every 3 hours.
is 3/2 x 2/5 is equal to 3/2?
Answer:
No.
Step-by-step explanation:
the result is 17 / 5, Which is not = 3 / 2
Answer:
3/2*2/5=3/5 (FALSE!)Step-by-step explanation:
Solve this problem by multiplying the fraction from left to right.
3/2*2/5=3/5Dividing is another option.
3/5=0.6
No, because 3/2 times 2/5 equals 3/5.I hope this helps you! Let me know if my answer is wrong or not.
what is 698 352 nearest to 1000
Answer: 698352.000
698352 rounded to the nearest 1000 is 698352.000
Factorise x squared - 5x - 6
Step-by-step explanation:
please mark me as brainlest
Answer:
(x + 1)(x - 6)
Step-by-step explanation:
We can factor x^2 - 5x - 6 using grouping:
x^2 - 5x - 6x^2 - 6x + x - 6x (x - 6) + (x - 6)(x + 1)(x - 6)Hope this helps!!
HELP ME WITH THIS . IF correct will get an brainliest
HURRRY
X = 1
Explanation :
when you multiply negative 2 by negative six you get twelve. when you multiply positive one by negative six you get negative six.
Answer: X = 1
Step-by-step explanation:
give other brainliest
Find the value of d that makes line m ll n
Answer:
x = 45.
Step-by-step explanation:
The angle between the shorter line and line n is 90 degrees, so
2x must be 90 degrees for m and n to be parallel.
x = 45.
Can someone help me with this please? :)))
Answer:
88
Step-by-step explanation:
86 is 98% of 87.755102040816 which rounded to the nearest whole number is 88.
given that 2x^2 - 2y^2 = 40 and x-y=5, find the value of (x+y)
Answer:
x+y=4
Step-by-step explanation:
hello :
note : by identity you have x²-y² = (x-y)(x+y)
in this exercice : 2x²-2y² = 2(x²-y²) = 2 (x-y)(x+y)
means : 2 (x-y)(x+y) = 40
but x-y = 5
so : 2(5)(x+y) =40
x+y=40/10
x+y=4
(5.04×10^12)÷(6.3×10^9) in scientific notation
Answer:
i think the answer will be = 8 × 10^2
where can u buy a ruler that is 3 feet long
Answer:
A yard sale.
Step-by-step explanation:
lol
What is this question really about? Could you perhaps dive a little bit more into detail please? Ty
The MOST precise measurements this ruler can give are to the nearest A) inch. B) half inch. C) eighth inch. D) quarter inch.
Jess makes and sells cube-shaped jewelry boxes. She designs the jewelry boxes in different sizes and with different patterns. Jess wants to include the volume of each box on her price list.
s = length (in.) of one side of the jewelry box
Options:
s
6s
s^2
s^3
(It’s middle school I-Ready)
Answer:
Step-by-step explanation:
s to the 3rd power so S3
I hope this works
Answer:Part two is (s+2)3
Step-by-step explanation:
I got it right I hope it helps
SOOO CLOSEE TO BEING DONEEEE helppppp
[tex]423 \times 10 {}^{2} [/tex]
[tex]2 \times 10 {}^{3} [/tex]
[tex]92 \times 10 {}^{5} [/tex]
[tex]4 \times 10 {}^{3} [/tex]
[tex]80 \times 10 {}^{6} = 8 \times 10 {}^{7} [/tex]
[tex]32 \times 10 {}^{9} [/tex]
Answer:
4.23*10^4
2*10^3
9.2*10^7
4*10^3
8*10^7
3.2*10^10
The price of a train ticket consists of an initial fee of $5dollar sign, 5 plus a fee of $2.75dollar sign, 2, point, 75 per stop. Julia has $21 dollar sign, 21 and would like to travel 50 kilometers. She wants to know the largest number of stops she can afford to buy on a ticket.
Answer:
17 stops on 1 ticket
Step-by-step explanation:
Answer:
17 stops on 1 ticket
Step-by-step explanation:
What is the equation of the line that passes through the point (-1,-9)and has an undefined slope
Answer:
x = -1
Step-by-step explanation:
"An undefined slope" indicates that the line in question is a vertical one. The coordinate x = -1 tells us that the equation of the line is just that: x = -1.
The lengths of all sides are different in which type of triangle?.
Answer: Scalene Triangle
Step-by-step explanation:
Answer:
Scalene Triangle
Step-by-step explanation:
Scalene Triangle: All sides are different
Isosceles Triangle: 2 sides are the same
Equilateral Triangle: All sides are the same.
An aluminum bar 3 feet long weighs 12 pounds. What is the weight of a similar bar that is 3 feet 4 inches long?
Answer: 13 [tex]\frac{1}{3}[/tex] pounds
Step-by-step explanation:
We will set up a proportion. I will have the weight, in pounds, on the top (numerator) and the length, in inches, on the bottom (denominator).
[tex]\frac{12}{36} =\frac{x}{40}[/tex]
Cross-multiply:
36 * x = 12 * 40
36x = 480
Divide both sides of the equation by 36:
x = 13 [tex]\frac{1}{3}[/tex] pounds
Answer:
Step-by-step explanation:
First find unit weight.
1 foot = 12 inches
3 ft = 3*12 = 36 inches
3ft 4 inches = 36 + 4 = 40inches
Weight of 36 inches long bar = 12 pounds
Weight of 1 inch bar = 12/36
[tex]\text{Weight of 40 inches long bar = $\dfrac{12}{36}*40$}[/tex]
= 13.3 pounds
help me solve for x and y .
Answer:
Step-by-step explanation:
Answer:
x = 20y = 114°Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of the remote interior angles.
(3x +6)° = 31° +35°
3x +6 = 66 . . . . . . . . . . divide by °, collect terms
3x = 60 . . . . . . . . subtract 6
x = 20 . . . . . . . divide by 3
The value of y is the supplement of (3x+6)°, and of the sum (31 +35)°.
y = 180° -66° = 114°
The values of x and y are 20 and 114°, respectively.
OMG I NEED HELP LIKE RIGHT NOW
Answer:
x coordinate is +3 and y coordinate is +1
Step-by-step explanation:
just count three squares right and one square down from D
A car goes 54 miles on 3 gallons of gas.
How many miles does the car go on 8 gallons of gas?
3 gallons => 54 miles
so
1 gallon => 54 : 3 = 18 miles
then
8 gallons => 18x 8= 144 miles
50 points!! Instructions: Find the missing side. Round your answer to the nearest tenth.
Answer:
16.4 units to the nearest tenth.
Step-by-step explanation:
sin 66 = 15 / x
x * sin 66 = 15
x = 15 / sin 66
= 16.4196
Done!