Answers
Related Questions
Find the length of the side of the square that has the same area as a circle with radius r cm.
Answers
The area of a circle is given by the equation [tex]A=\pi r^{2}[/tex]
Set these two equations equal to one another because the areas are equal, and then rearrange the equation in terms of r:
[tex]s^{2}=\pi r^{2}[/tex]
[tex]s= \sqrt{\pi r^{2} } [/tex]
Answer:
Step-by-step explanation:
Definition of Square: a parallelogram whose area is equal to the product of its sides. The circle is a plane figure whose area is calculated by the formula r².
The length of the side of the square is .
Given:
The radius of the circle is = r cm.
Length of the side of square = a cm
Now,
Area of Square is = a²
Area of Circle = r²
Since, given that radius of a circle is equivalent to the length of the square, such that:
a² = r²
a² = r²
a =
a =
Thus, the value of the length of the square is r√π.
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Graph a system of equations to solve log (−5.6x + 1.3) = −1 − x. Round to the nearest tenth. From the least to the greatest, the solutions are:
ANSWER IS ::::: (-2.1)⇒0.2
Answers
Answer:
From least to the greatest, the solutions are: (-2.1) to (0.2)
Step-by-step explanation:
Given : Equation -[tex]log (-5.6x + 1.3) = -1-x[/tex]
To Solve : The equation
Step1 : Write the equation :
[tex]log (-5.6x + 1.3) = -1-x[/tex]
Step 2 : To solve the equation we plot the graph,
when we plot the graph the points where y=0 for value of x
Step 3: Points where y=0,x=-2.12 and 0.221 (shown in the attached graph)
Therefore, (x+2.12) and (x-0.221) are the solutions of the equation.
Round to nearest tenth x= -2.1 and 0.2
From least to the greatest, the solutions are: (-2.1) to (0.2)
A tree house is being constructed with support beams that create right triangles. If the legs of the triangle created measure 2.5 ft and 3 ft, what are the angle measures of the non-right angles?
39.8 and 50.2
68.5 and 21.5
87.6 and 2.4
56.4 and 33.6
Answers
Answer: 39.8 and 50.2
Step-by-step explanation:
Here, the triangles has the legs 2.5 ft and 3 ft.
Since, by the Pythagoras theorem,
Hypotenuses of the triangle,
[tex]=\sqrt{2.5^2+3^2}=\sqrt{6.25+9}=\sqrt{15.25}\text{ feet}[/tex]
Now, let [tex]\theta_1[/tex] and [tex]\theta_2[/tex] are the angles opposite to the sides 2.5 and 3 respectively,
Hence, by the law of sine,
[tex]\frac{sin\theta_1}{2.5}=\frac{sin\theta_2}{3}=\frac{sin90^{\circ}}{\sqrt{15.25}}[/tex]
When,
[tex]\frac{sin\theta_1}{2.5}=\frac{sin90^{\circ}}{\sqrt{15.25}}[/tex]
[tex]\implies sin\theta_1=\frac{2.5}{\sqrt{15.25}}=0.64018439966 [/tex]
[tex]\implies \theta_1=39.8055710923 \approx 39.8^{\circ}[/tex]
Similarly,
[tex]\frac{sin\theta_2}{3}=\frac{sin90^{\circ}}{\sqrt{15.25}}[/tex]
[tex]\implies sin\theta_2=\frac{3}{\sqrt{15.25}}=0.76822127959 [/tex]
[tex]\implies \theta_2=50.1944289077 \approx 50.2^{\circ}[/tex]
Hence, First option is correct.
help me its easy Triangle DOG is an isosceles triangle with DO = OG, and mD = 18. What is mO? A. 18 B. 36 C. 144 D. 162
Answers
180 - 36 = 144
Angle O = 144
Hope this helps =)
Answer:
B
Step-by-step explanation:
factor by grouping 5x^2+2x+40x+16
Answers
5 x^2 + 40 x + 2 x + 16
2 x + 40 x = 42 x:
5 x^2 + 42 x + 16
Factor the quadratic 5 x^2 + 42 x + 16. The coefficient of x^2 is 5 and the constant term is 16. The product of 5 and 16 is 80. The factors of 80 which sum to 42 are 2 and 40. So 5 x^2 + 42 x + 16 = 5 x^2 + 40 x + 2 x + 16 = 8 (5 x + 2) + x (5 x + 2):
8 (5 x + 2) + x (5 x + 2)
Factor 5 x + 2 from 8 (5 x + 2) + x (5 x + 2):
Answer: (5 x + 2) (x + 8)
A circle has a diameter with endpoints at -2+i and -6-11i. What is the center of the circle
Answers
Answer:
-4 -5i
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Explain how to find the range of a data set. what is an advantage of using the range
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To find the range you would have to but the data(numbers) in order from least to greatest, then subtract the smallest number from the largest. The disadvantage of using range is that it does not measure the spread of the majority of values in a data set it only measures the spread between highest and lowest values. As a result, other measures are required in order to give a better picture of the data spread.
Triangle ABC is similar to triangle DEF. The length of AC---- is 12 cm. The length of EF--- is 15 cm. The length of DF---- is 9cm.
What is the length of BC----?
Enter your answer in the box
____ cm
Answers
____________________________________________________
Explanation:
____________________________________________________
[AC] / [DF] = 12 cm / 9 cm ;
[BC] / [EF] = x / 15 cm ;
12 / 9 = x / 15 ; Solve for "x" ; {Note: "x" is the length of BC (in cm) ;
Simplify the " (12/9) " ;
→ " 12 / 9 = (12 ÷ 3) / (9 ÷ 3) " ;
= 4 / 3 ;
And rewrite:
→ 4 / 3 = x / 15 ; Solve for "x" ;
_____________________________________________________
Note: Cross-multiply:
Given: "(a/b)" = (c/d)" ; { b[tex] \neq [/tex]0 ; d[tex] \neq [/tex]0 } ;
" a*d = b*c " .
_____________________________________________________
As such:
→ 3x = 15 * 4 ;
→ 3x = 60 ;
Divide EACH SIDE of the equation by "3" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
__________________________________________________
→ 3x / 3 = 60 / 3 ;
→ x = 20 .
____________________________________________________
Answer: The length of BC is: " 20 cm " .
____________________________________________________
The triangle ABC and triangle DEF are similar so the value of the length of BC is 20 cm and this can be determined by using the properties of a similar triangle.
Given :
Triangle ABC is similar to triangle DEF.The length of AC is 12 cm. The length of EF is 15 cm. The length of DF is 9cm.The following steps can be used to determine the length of BC:
Step 1 - According to the given data, triangle ABC is similar to triangle DEF.
Step 2 - So, according to step 1:
[tex]\rm \dfrac{AC}{DF} = \dfrac{BC}{EF}[/tex]
Step 3 - Substitute the values of length AC, DF, and EF in the above equation.
[tex]\rm \dfrac{12}{9} = \dfrac{BC}{15}[/tex]
Step 4 - Multiply 15 on both sides in the above expression.
[tex]\rm \dfrac{12}{9}\times 15 = BC[/tex]
Step 5 - Simplify the above expression in order to get the value of the length BC.
BC = 20 cm
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7. What is the solution to the proportion below?
Captionless Image
y = 6/7
y = 18
y = 4.5
y = 24
Answers
Cross multiplying, we get:
[tex]4(2y-9) = 6y \\ \\ 8y-36=6y \\ \\ 8y-6y=36 \\ \\ 2y=36 \\ \\ y=18[/tex]
Thus the value of y for given proportion is 18.
Alex is installing wooden flooring in his room. The room is rectangular in shape with length of 12 feet and width of 10 feet.
If the total cost of the wooden flooring is $600, what is the unit price of the flooring per square foot?
Answers
Then you take your $600 and divide it by your entire room size (120)
This will give you the amount per square foot.
Your answer will be $5.00 per square foot
There is 30\100 of a liter of orange juice on one container and 5\10 of a liter of pineapple juice in another container. If Mrs. Morales combines the two juices ,how much orange-pineapple juice will she ? Explain how you found your answer.
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Mrs. Morales will have 4/5 of a liter of juice.
_____
The total quantity was found by adding the quantities of individual kinds of juice. The addition was performed by expressing each fraction using the common denominator of 10, then reducing the final result.
The floor plan of a factory is dilated by a factor of 4 to create a new, larger floor plan.
The area of the new floor plan is _______ times larger than the area of the original floor plan?
a. 4
b. 8
c. 16
d. 64
e. 256
Answers
The original floor could be rectangle in shape.
If we consider the length of floor to be 'L' and width of floor to be 'W',
then area of original floor = length x width = LW.
And if its dimensions are dilated by scale factor of 4 to make new floor, then new length and width would become four times of older values. So new length would be '4L' and new width would be '4W'
Now area of new floor = length x width = 4L x 4W = 16LW.
It is clear that the area of new floor is 16 times of the area of original floor.
So, option C i.e. 16 is the final answer.
Jack bought two sweaters for $17.99 and a pair slacks for $25.50. including a 5 1/2% tax, how much was his total purchase?
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5 ½ = 5 + (1 ÷ 2) = 5 + 0,5 = 5,5%
⓶ Then, once you got rid of that fraction, I usually transform a percentage into a decimal because, again, I find it easier to work with :
5,5% = 5,5 ÷ 100 = 0,055
⓷ The next step would be to add both prices together in order to get one unique price to work with instead of two :
$17,99 + $25,50 = $43,49
⓸ Next, you need to multiply the total price you calculated at #3 by the decimal of the pourcentage that you calculated at #2 in order to find the tax amount on his purchase :
5 ½% of $43,49
↓
5,5% of $43,49
↓
0,055 × $43,49 = 2,39195
Since we are calculating money, you need to round up this number at the hundredths, wich means that you’ll end up with about $2,39 of taxes on your total purchase!
⓹ The last and final step is to add the tax amount that you just calculated in #4 to the total price you calculated at #3 in order to find the total of his purchase including the 5 ½% taxes :
$43,49 + $2,39 = $45,88
If you wanted to be a tiny bit more precise, you could have decided not to round up the tax amount in #4 and just round up the final amount ↠
$43,49 + 2,39195 = 45,88195
Wich would, in this case, given you the same exact answer which is : $45,88
But it is important to keep in mind that sometimes the answer might vary if you round up only at the end, depends on your teacher’s exigences more than anything!
→ So the final answer is that his total purchase including a 5 ½% tax is : $45,88!
I really hope this helps, if there’s anything just let me know! ☻
The total cost of purchase of Jack is $ 45.88
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The cost of two sweaters is = $ 17.99
The cost of pair of slacks is = $ 25.50
So ,
The cost of two sweaters and pair of slacks = $ 17.99 + $ 25.50
= $ 43.49
Now the equation will be ,
The tax percentage on the cost of purchase = 5 1/2 %
= 5.5 %
The cost of purchase including the tax percentage =
The cost of two sweaters and pair of slacks x tax percentage
The cost of purchase including the tax percentage = 43.49 x ( 5.5/100 )
= $ 2.39195
So the equation will be ,
The total cost of purchase =
The cost of two sweaters and pair of slacks + cost of purchase including the tax percentage
The total cost of purchase = $ 43.49 + $ 2.39195
= $ 45.88195
≈ $ 45.88
Hence , the total cost of Jack's purchase is $ 45.88
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please help me help!!!!!!!!!!!!
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( -2*(-3*3)=16 )
bx - 5 = 16/-2
bx - 5 = -8
bx = -8+5
bx = -3
x = -3/b ← in the first box
when b=3
x = -3/b
x = -3/3
x = -1 ← in the second box
Mick paid $2.94 in sales tax on an item that cost $42.00 before tax. At that rate, how much would he paying sales tax before an item that cost $58 before tax
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PLZZZ HELP FOR BRAINLIEST AND POINTS!!
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y > 5x + 5
y >- 1/2x + 1
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (−2, 5) included in the solution area for the system? Justify your answer mathematically.
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b.) the answer (-2, 5) is a possible solution because if you plug it into either inequality is works out.
[tex]5 > 5( - 2) + 5[/tex]
[tex]5 > - 5[/tex]
The first inequality checks out
[tex]5 > - \frac{1}{2} ( - 2) + 1[/tex]
[tex]5 > 2[/tex]
The second inequality checks out as well
WILL GIVE A BRAINLEST
What is the value of [3.6]
3
3.5
3.6
4
Answers
Answer:
A) 3
Step-by-step explanation:
The notation f(x)=[x] represents the greatest integer function, with the integer being less than or equal to x.
Since we have to find the nearest integer smaller than the given number, we can say that greatest integer function always rounds down its input to the nearest integer.
We have to find the value of [3.6]. So we have to round down 3.6 to its nearest integer, which will be 3.
Therefore, the option A gives the correct answer.
Answer: Hello mate!
the function f(x) = [x] is equal to the closest smaller or equal integer to the number x.
for example:
[1] = 1
[1.3] = 1
[1.9998] = 1
then, the closest smaller or equal integer to the number 3.6 is the number 3.
this means that f(3.6) = [3.6] = 3, then the right option is the first one.
Solve 3x+11= k for x.
A. x=3k-11
B. x=k-11
C. k+11
x=———
3
D. k-11
x= ———
3
What’s the answer?
Answers
None of the answers listed are correct.
3x + 11 = k
SUBTRACT 11 from both sides:
3x + 11 = k
-11 -11
You are then left with:
3x = k-11
DIVIDE 3 by both sides:
3x/3 = k-11/3
You are then left with:
x= k-11/3
The value of x for the equation 3x + 11 = k is [tex]\frac{k-11}{3}[/tex].
What is linear equation in one variable?
The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.
According to the given question.
We have a linear equation in one variable
[tex]3x + 11 = k[/tex]
For the above equation the value of x is given by
[tex]3x + 11 = k[/tex]
⇒[tex]3x = k -11[/tex] ( subtracting 11 from both the sides)
⇒[tex]x = \frac{k-11}{3}[/tex] ( dividing both the sides by 3)
Hence, the value of x for the equation 3x + 11 = k is [tex]\frac{k-11}{3}[/tex].
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Look at the picture below // 50 points // PLEASEE HELPP
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so answer is C. steeper
I need help plz, i dont understand it, its english class, i dont like english class
Answers
Point P is the center of the circle that is circumscribed around the triangle. What does point P represent with regard to the triangle
Answers
Answer: d) the point of concurrency of the perpendicular bisectors
Step-by-step explanation:
What is the best estimation of mean for this data set.
Answers
5 is correct I did this quiz
5 is the best estimation of mean for the given data set.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
In the given data, the number of sites ae given in y axis and number of shield daters on x axis.
From the given dart let us construct a table
Number of sites Number of shield darters
2 3
3 1
4 4
6 2
7 3
8 1
9 1
By using the mean formula we get the mean as 5
Hence, 5 is the best estimation of mean for the given data set.
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How many prime numbers less than 100 have a units digit of 1?
Answers
1) We can write down all the prime numbers and check if they have 1 as a unit digit. Then we count them.
2) This is quicker way. We write down all the numbers that are less than 100 and that have 1 as a unit digit:
1
11
21
31
41
51
61
71
81
91
Now we check if each of them is prime number. By definition 1 is not prime number. From our list prime numbers are: 11,31,41,61,71.
So, we have total of 5 prime numbers that are less than 100 and that have 1 as a unit digit.
There are 5 prime numbers less than 100 that have a units digit of 1.
To determine how many prime numbers less than 100 have a units digit of 1, we need to follow these steps:
List all the prime numbers less than 100.Filter out the prime numbers with a units digit of 1.List all prime numbers less than 100.The prime numbers less than 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
Filter out the primes with a units digit of 1.The primes with a units digit of 1 are: 11, 31, 41, 61, 71.
which of the following systems of inequalities would produce the region indicated on the graph below PLZ HELP NEED ASAP!!!!!!!
Answers
I proceed to verify each of the cases to get the answer
using a graph tool
see the attached figures
case A)
y>x+1
y<=10
x>=0
case B)
y>=x+1
y>=10
x>=0
case C)
y>=x+1
y<10
x>=0
case D)
y<x+1
y<=10
x>=0
the answer is the case A)
y>x+1
y<=10
x>=0
Answer:
y>x+1;y<=10;x>=0
Step-by-step explanation:
Sharon and Jacob started at the same place. Jacob walked 3 m north and then 4 m west. Sharon walked 5 m south and 12 m east. How far apart are Jacob and Sharon now?
Answers
Drawing this on a coordinate plane gives us coordinates for Jacob (-4, 3) and coordinates for Sharon (12, -5).
The distance formula is:
[tex] \sqrt{( x_{2}-x_{1})^{2} +(y_{2}-y_{1})^2 } [/tex]
Substituting our values for Jacob and Sharon in we get:
[tex]\sqrt{(-4-12)^2+(3--5)^2} \\ \sqrt{(-16)^2 + (3+5)^2} \\ \sqrt{256+(8)^2} \\ \sqrt{256+64} \\ \sqrt{320}=17.89[/tex]
They are now 17.89 m apart.
Answer:
17.89
Step-by-step explanation:
I need some help with this math question. Please see attachment.
Answers
II. The interquartile range is the difference between the coordinates of the ends of the box: 13 -6 = 7. It is FALSE that the interquartile range is 6.
III. The median is Q2, the line in the middle of the box. It is 8. It is FALSE that the median is 10.
Selection A is appropriate.
A market demand schedule shows:
A how many units of a product individual consumers buy on a regular basis.
B how much of a good or service all consumers are willing and able to purchase at different prices.
C The additional total product that can be made by adding one additional worker.
D The total cost of products and the number of workers.
Answers
(Please Help For Examination) A sweet stall was placing order for making cardboard boxes for packing their sweets. Two sizes of boxes were required. The bigger dimensions 15cmx12cmx5cm. For all the overlaps, 5% of the total surface area is required extra. If the cost of the cardboard is Rs.4 for 1000cm(square), Find the cost of cardboard required for supplying 250 boxes of each kind.
Answers
Explanation:
1) The statement is incomplete. The complete statement contains the information of the dimensions of both bigger and smaller cardboard boxes.
2) The dimesions of bigger cardboard boxes are 25cm * 20 cm * 5 cm
3) The dimensions of smaller cardboard boxes are 15 cm * 12 cm * 5cm
4) For bigger cardboard boxes:
length, l = 25 cm
width, w = 20 cm
height, h = 5 cm
surface of each bigger carboard box = 2 [ l*w + l*h + w*h] = 2 [25*20 + 25*5 + 20*5] cm^2 = 1450 cm^2
total surface of 250 bigger cardboard boxes = 250 * 1450 cm^2 = 3625,500 cm^2
5% of the total surface area extra = 362,500cm^2 * 5 / 100 = 18,125 cm^2
Total area for bigger cardboard boxes= 362,500 cm^2 + 18,125 cm^2 = 380,625 cm^2
5) Smaller cardboard boxes
length, l = 15 cm
width, w = 12 cm
height, h = 5 cm
surface of each smaller cardboard box = 2 [l*w + l*h + w*h] = 2 [ 15*12 + 15 * 5 + 12 * 5] cm^2 = 630 cm^2
total surface of 250 smaller cardboard boxes = 250 * 630 cm^2 = 157,500 cm^2
5 % extra = 157,500 cm^2 * 5 / 100 = 7,875 cm^2
total area for smaller cardboard boxes = 157,500 cm^2 + 7,875 cm^2 = 165,375 cm^2
6) total area of cardboard required = 380,625 cm^2 + 165,375 cm^2 = 546,000 cm^2
7) Cost of cardboard required
unit cost per area * total area = (Rs 4 / 1000cm^2) * 546,000 cm^2 = Rs 2,184.
Answer: Rs 2,184
if y varies directly as x, and y=6 as x=-1, find y for the x-value of 5
Answers
Answer:
[tex]y=-30[/tex]
Step-by-step explanation:
we are given
y varies directly as x
so, we can write equation as
[tex]y=kx[/tex]
where
k is constant of proportionality
We have
at x=-1 , y=6
so, we can use it to find k
[tex]6=k(-1)[/tex]
so, we get
[tex]k=-6[/tex]
now, we can plug it back
[tex]y=-6x[/tex]
now, we can plug x=5
and we get
[tex]y=-6\times 5[/tex]
[tex]y=-30[/tex]
Vincent Plans To Save 2/5 Of His Earnings Each Week For 12 Weeks. He Earns Approximately $180 Per Week. About How Much Will Vincent Have Saved From Earning At The End Of 12 Weeks?
A. 345.60
B. 432.00
C. 864.00
D. 1,296.00
Answers
To get this answer you find out what one-fifth of 180 is. It is 36 dollars, but the question asks for two-fifths which is 72 dollars. Then you multiply 72 times 12, for the 12 weeks. Your final answer is $864 dollars!
Hope this helps! :)
Let's do this step by step!
#1:
Divide his approximate earnings per week by 5, and then multiply that by 2 to find 2/5 of his earnings per week.
180 ÷ 5 = 36
36 × 2 = 72
#2:
Multiply this by 12 weeks to find the answer to your question!
72 × 12 = 864
ANSWER:
Vincent will have saved approximately C. $864.00 from his earnings at the end of 12 weeks.