Answer:
$696.70
Step-by-step explanation:
The formula for the area of a circle is given as πr²
From the above question
π = 3.14
Diameter = 5 feet
Radius = Diameter/2 = 5 feet/2 = 2.5 feet
Hence,
The area of the circular table = 3.14 × 2.5²
= 19.625 ft² or 19.625 square foot
We are told that:
The wood costs $35.50 per square foot
Hence,
1 ft² = $35.50
19.625 ft² = x
Cross Multiply
x = 19.625 ft² × 35.50
x = $696.6875
Approximately = $696.70
Therefore, it will cost Rafael $696.70 to make the table.
Why to solve this question
Answer:
35°, 70°, 75°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , then
x + 2x + 75 = 180
3x + 75 = 180 ( subtract 75 from both sides )
3x = 105 ( divide both sides by 3 )
x = 35
2x = 2 × 35 = 70°
The angles in the Δ are 35°, 70°, 75°
The three angles of the triangle are 75°, 70° and 35°.
Step-by-step explanation:
We know that,
Sum of angles of a triangle = 180°
⇢ 75° + 2 x + x = 180°
⇢ 3x = 180° - 75°
⇢ 3x = 105°
⇢ x = [tex] \frac{105}{3} [/tex]
⇢ x = 35°
[tex]{\boxed{\mathcal{\red{Brainly\:Star.}}}}[/tex]
Which graph shows the line that best fits the data points given?
Answer:
3rd one
Step-by-step explanation:
The correct graph which shows the line that best fits the data points given is shown in Option 3.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
To find correct graph which shows the line that best fits the data points.
Now, We know that;
The correct graph of line for the data points is contain almost every points.
Hence, We get;
The correct graph which shows the line that best fits the data points given is shown in Option 3.
Thus, The correct graph which shows the line that best fits the data points given is shown in Option 3.
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Question 7 of 10
These box plots show daily low temperatures for a sample of days in two
different towns.
Degrees (F)
Which statement is the most appropriate comparison of the spreads?
Answer:
A
Step-by-step explanation:
In a box plot, interquartile range (IQR) can be used to describe the spread of any given data.
IQR = Q3 - Q1
✔️IQR for Town A:
Q3 = 40
Q1 = 20
IQR = 40 - 20 = 20°
✔️IQR for Town B:
Q3 = 30
Q1 = 20
IQR = 30 - 20 = 10°
We can conclude that the IQR for town A, 20°, is greater than the IQR for town B, 10°.
The low temperatures in a town for eight consecutive days, in degrees Fahrenheit, are
-2, -5, 10, 6, -3, 5, 3, -2. Find the median.
Answer:
The Median is 0.5
Step-by-step explanation:
Bob walks 8/10 of a kilometer to school each day. How many kilometers does bob walk to school in 5 days ?
Answer:
4 in 5 days
Step-by-step explanation:
Solve for an angle in right triangles
Answer:
75.5
Step-by-step explanation:
Using trigonometry
Arccos(2/8)
Answer:
8.25
Step-by-step explanati
42÷(13×6×7)=
I need help
Answer:
The answer is 1/13
Step-by-step explanation:
42÷(13×6×7)
= 42÷546
= 1/13
4+4x+x^2 = y Given x = 2
Answer:
16
Step-by-step explanation:
4 + (4 * 2) + [tex]2^{2}[/tex] = y
16 = y
Answer:
x=2,y=16
Step-by-step explanation:
4+4(2)+2^2=y Put the x value where it belongs
4+8+2^2=y Now do 2*2 (two to the power of two)
4+8+4=16
16=16
Write an exponential function in the form y=ab^x that goes through points (0,12) and (3,6144)
Given:
An exponential function goes through points (0,12) and (3,6144).
To find:
The exponential function.
Solution:
The general exponential function is:
[tex]y=ab^x[/tex] ...(i)
The function goes through point (0,12). Substituting [tex]x=0,y=12[/tex], we get
[tex]12=ab^0[/tex]
[tex]12=a[/tex]
The function goes through point (3,6144). Substituting [tex]a=12, x=3,y=6144[/tex] in the general exponential function, we get
[tex]6144=12b^3[/tex]
[tex]\dfrac{6144}{12}=b^3[/tex]
[tex]512=b^3[/tex]
[tex]512^{\frac{1}{3}}=b[/tex]
[tex]8=b[/tex]
Putting [tex]a=12,b=8[/tex] in (i), we get
[tex]y=12(8)^x[/tex]
Therefore, the required exponential function is [tex]y=12(8)^x[/tex].
pls help me with this
Answer:
D at 8.8
im not sure brainliest please ok
Answer:
The answer is C at 8.1.
Step-by-step explanation:
To find [tex]\sqrt{66}[/tex], start by finding the two consecutive perfect squares that 66 lies between them. The two perfect squares are 64 ([tex]8^{2}[/tex]) and 81 ([tex]9^{2}[/tex]). So, the whole number part of the square root of 66 will be 8.
Now, for the decimal part, use the following formula:
(Given number - Smaller perfect square) / (Greater perfect square - Smaller perfect square)
Then, put in the known information, which will look like:
(66 - 64)/(81 - 64) = 2/17 = 0.117
Finally, [tex]\sqrt{66}[/tex] is 8.117, so the answer is C at 8.1.
What is the focus of the parabola?
y =1/4x^2 -x-1
Enter your answer in the boxes.
Answer:(-y/(1/2)) -x/(1/2)=1
Step-by-step explanation:
The coordinates of the focus of the parabola are (2, -1.9375)
How to determine the focus?The equation of the parabola is given as:
[tex]y = \frac 14x^2 - x - 1[/tex]
Express as a vertex form
[tex]y = \frac 14(x - 2)^2 - 2[/tex]
The focus of a quadratic function of the form [tex]y = a(x - h)^2 + k[/tex] is
Focus = (h, k + 1/4 a)
By comparing [tex]y = a(x - h)^2 + k[/tex] and [tex]y = \frac 14(x - 2)^2 - 2[/tex], we have:
a = 1/4
h = 2
k = -2
So, we have:
Focus = (2, -2 + 1/4 * 1/4)
Evaluate
Focus = (2, -1.9375)
Hence, the coordinates of the focus of the parabola are (2, -1.9375)
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BRO PLS HELP MEEEE I WANNA GET STRAIGHT A’s
Decide if the following statement is valid or
invalid.
If you live in Miami, then you live in Florida.
Jada lives in Florida, so she lives in Miami.
Valid
Invalid
Answer:
Invalid
Step-by-step explanation:
Answer:
Invalid
Step-by-step explanation:
You can live in Florida outside of Miami.
I have a question that has already been answered. I just need someone to please explain the steps.
Find the coordinates of the minimum point of the function- f(x) = x^2 + 4x - 5.
Solution-
We need to express x^2 + 4 - 5 in the form (x+h)^2 + k.
Let x^2 - 4x = (x - 2)^2 - 4 (Where did the -4 come from?)
x^2 + 4x - 5 = [ (x - 2)^2 - 4] - 5
= (x - 2)^2 - 9
All I wanna know is where the -4 came from. what rule must be applied.
Answer:
Step-by-step explanation:
Using brackets will really help.
y = (x^2 + 4x + ... ) - 5 You are trying to complete the square. The square in this case is a trinomial that is squared.
To do that, you take 1/2 the linear term (4x)/2, drop the x (4/2), and square the result (4/2)^2. The number is 2^2 which is 4.
So far what you have is
y = (x^2 + 4x + 4) - 5
Now you just can't add 4 without adjusting it somehow. If you do, the whole question will change it's value. Because you added 4 inside the brackets, you must subtract 4 outside the brackets.
What that means is 4 inside - 4 outside. So it looks like this
y = (x^2 + 4x + 4) - 5 - 4
Now you continue on
y = (x + 2)^2 - 9 The 4 combines with the 5 to make nine.
First 4 terms 6,11,16,21 expression for the nth term
Answer:
5n + 1
Step-by-step explanation:
Increase by 5.
Variable term is 5n.
Number term is +1
5n + 1 :)
Hope this helps!
Answer:
Tn=5n+1
Step-by-step explanation:
T9=5*9+1
T9=45+1
T9=50
Solve 22 = - 3d + 1. Show your steps.
Answer and Step-by-step explanation:
Solve for D.
Subtract 1 from both sides of the equation.
22 - 1 = -3d + 1 - 1
21 = -3d
Divide both sides by -3.
21 ÷ -3 = -3d ÷ -3
-7 = d
d is equal to -7.
#teamtrees #PAW (Plant And Water)
Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 24
cards, which was 20% of the cards sold for Mother's Day. How many cards were sold
for Mother's Day?
Answer:
120
Step-by-step explanation:
20 * 5 = 100 so we multiply 24 by 5 and that equals 120
There are 8 blue marbles, 3 red marbles, and 4 yellow marbles in a bag. What is the probability of selecting a purple marble on the first draw?
Answer:
0
Step-by-step explanation:
there is only blue marbles, yellow marbles, and red marbles. there are no purple marbles so you’d be unable to pull out a purple one no matter how many times you tried. so the probability would be 0
What’s the answer to this question 6 1/2 - 4 7/10
Answer:
1 4/5
Step-by-step explanation:
Convert 1/2 to tenths. 1/2 = 5/10 which reduces back to 1/2
borrow 1 from the 6 to make 5/10 greater than 7/10
5/10 + 10/10 = 15/10
The 6 1/2 has become 5 and 15/10
5 15/10 Subtract 4 7/10
4 7/10
1 8/10 Reduce the fraction by dividing top and bottom by 2
1 4/5
Also possible is
6.5
4.7 Subtract
1.8
A jar contains 2 orange, 4 green, 2 white and 2 black balls. What is the probability of drawing an orange ball without putting it back, then drawing a black ball? (write your answer as a simplified fraction)
Answer:
2/45
Step-by-step explanation:
We are told that:
A jar contains 2 orange, 4 green, 2 white and 2 black balls.
The total number of balls in the jar is calculated as:
2 orange balls + 4 green balls + 2 white balls + 2 black balls = 10 balls
The probability of drawing an orange ball = P(Orange) = 2/10
The probability of drawing a black ball = P(Black) = 2/10
Therefore, the probability of drawing an orange ball without putting it back, then drawing a black ball is calculated as:
2/10 × 2/9 = 4/90
= 2/45
Show work if you can!
Answer:
9 inches
Step-by-step explanation:
(x + 2)² = 121
√(x + 2)² = √121
x + 2 = 11
x + 2 - 2 = 11 - 2
x = 9
Kayla works in a department store selling clothing. She makes a guaranteed salary of $300 per week, but is paid a commision on top of her base salary equal to 5% of her total sales for the week. How much would Kayla make in a week in which she made $1075 in sales? How much would Kayla make in a week if she made xx dollars in sales?
Answer:
$353.75
0.05x + 300
Step-by-step explanation:
1075 x 0.05 = 53.75 + 300 = 353.75
0.05x + 300
Direct, inverse, or neither?: xy = 15
Answer:
Well, to be perfectly honest in my humble opinion, of course without offending anyone who thinks different from my point of view but also by looking into this matter in a different perspective and without condemning one's view and by trying to make it objectified and considering each and everyone's valid opinion, I honestly believe that I completely forgot what I was going to say.
A spherical boulder is 12 ft in diameter and weighs almost 8 tons. Find the volume. Use 3.14 for pi.
Answer:
904.32 ft^3
Step-by-step explanation:
Volume of a sphere = 4/3 x pi x r^3
r = 12/2 = 6
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
4/3 x 3.14 x 6^3 = 904.32 ft^3
Angles equation for geometry.
Answer:
40 degrees
Step-by-step explanation:
Since we have the diameter included in the triangle, the angle at B is 90
This is because angle at center is two times the angle at the circumference
Since we have the diameter, the angle at the center will be 180 degrees so the angle A at the circumference will be 90 degrees
Now, let us use the measure of the arc given
The angle at C is half of 100 which makes it 50
This is according to an angle arc relationship
Lastly, the sum of angles in a triangle is 180 degrees
We already have two angles and we need the last
so we have to add what we have already and subtract from 180 to get the angle we are looking for
So we have the angle as 180-(90 + 50) = 180 -140 = 40
Fill in the table using this function rule. y=6x + 5
Answer:
11, 17, 29, 65
Step-by-step explanation:
Rrplace x with values on the x colon
Answer:
Column 1 (When x = 1): y = 11
Colum 2(When x = 2): y = 17
Column 3(When x = 4): y = 29
Colum 4(When x= 10): y = 65
Step-by-step explanation:
When x = 1; y = 6(1) + 5
=> y = 6 + 5
=> y = 11
When x = 2; y = 6(2) + 5
=> y = 12 + 5
=> y = 17
When x = 4; y = 6(4) + 5
=> y = 24 + 5
=> y = 29
When x = 10; y = 6(10) + 5
=> y = 60 + 5
=> y = 65
Hope this helps!
PLS HELP!! GIVING BRAINLIEST!! :((
Ian Uses The Rule Add 1/2 Then Multiply By 2 Starting From 0
Answer:
1 3 7 15 31
Step-by-step explanation:
i used a calculator. Calculator Soup® is a good website for calculating stuff
An explicit formula to represent the geometric sequence with a first term of 10 and a common ratio of 3.
Answer:
an = 10(3^n-1)
Step-by-step explanation:
The explicit formula of a geometric sequence is written as:
an = ar^n - 1
Where
an = nth term
a = First term
r = common ratio
n = number of terms
Hence, an explicit formula to represent the geometric sequence with a first term of 10 and a common ratio of 3 is written as:
an = 10 × 3^n-1
an = 10(3^n-1)
Help please?!?!??!?!!!?!?!?!?!?!?!?!!?!?!?
Answer:
16.7%
Step-by-step explanation:
Probability is defined by the formula: the number of desirable outcomes over the total outcomes. The total number of outcomes is the sum of all shoes that he could possibly pick:
5 + 7 + 1 + 4 + 6 + 8 + 2 + 3 = 36
And the desirable outcomes are those where he picks brown boots, which is 6 outcomes.
Using the formula for probability, we get the expression: 6/36 to represent the probability. It simplifies to 1/6 which is about 16.7%
77
If the measure of angle is 8 is 4 , which statements are true?
A-cos(8) = -1
B-The measure of the reference angle is 60°.
C-The measure of the reference angle is 30°.
D-The measure of the reference angle is 45°.
E-sin() - 2
F-tan(O) = -1
Answer:
fifth option is the correct ans
sin(thita) = -sqare root 2 / 2
The statements which are true are,
The measure of reference angle is 45° and tan (θ) = -1.
What is Reference Number?Reference number associated with t is defined as the shortest distance from the x axis to the terminal point t, along a unit circle.
Reference angle is shortest angle measure from the X axis to the terminal side of the angle.
Reference angle = 2π - 7π/4 = π/4 = 45°
We have,
7π/4 = 2π - π/4
We also know that,
cos(2π - x) = cos x,
sin (2π - x) = -sin x
tan (2π - x) = -tan x
So, using theses identities,
cos (7π/4) = cos (2π - π/4) = cos(π/4) = 1/√2
sin (7π/4) = sin (2π - π/4) = -sin (π/4) = -1/√2
tan (7π/4) = tan (2π - π/4) = -tan (π/4) = -1
Hence the true statements are The measure of reference angle is 45° and tan (θ) = -1.
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