Inequality:
x + 15.4 ≤ 18.7
Solution:
x≤ 3.3
1) Considering that we have the measures of each side, and the sum of all sides (Perimeter) we can write out the following:
\(\begin{gathered} 4.9+4.1+x+6.4\leq18.7 \\ \end{gathered}\)2) Let's now add them all up to get the possible values of x:
\(\begin{gathered} 4.9+4.1+x+6.4\leq18.7 \\ 9+x+6.4\leq18.7 \\ x+15.4\leq18.7 \\ x+15.4-15.4\leq18.7-15.4 \\ x\leq3.3 \end{gathered}\)Note that we have isolated x on one side, by subtracting 15.4 from both sides. So the missing side must be lesser than or equal to 3.3 units
3) Hence, the answer is:
Inequality:
x + 15.4 ≤ 18.7
Solution:
x≤ 3.3
At a coffee shop, the first 100 customers'
orders were as follows.
Small
Medium
Large
Hot
5
48
22
Cold
8
12
5
What is the probability that a customer ordered
a large given that he or she ordered a hot drink?
Rounded to the nearest percent, [ ? ]%
Enter
Answer:bro chilll
Step-by-step explanation:
Find the surface area of the square pyramid.
S=
In circle O, secants ADB and AEC are drawn from external point A
such that points D, B, E, and C are on circle O. If AD = 8, AE = 6,
and EC is 12 more than BD, the length of BD is
(1) 6
(2) 22
(3) 36
(4) 48
The length of BD is 22.
In the given scenario, let's consider the following information.
AD = 8
AE = 6
EC is 12 more than BD.
To find the length of BD, we can utilize the Intercepted Arcs Theorem, which states that when two secants intersect outside a circle, the measure of an intercepted arc formed by those secants is equal to half the difference of the measures of the intercepted angles.
From the given information, we know that AD = 8 and AE = 6.
Since these are the lengths of the secants, we can use them to calculate the intercepted arcs.
First, let's find the intercepted arc corresponding to AD:
Intercepted Arc ADB = 2 \(\times\) AD = 2 \(\times\) 8 = 16
Similarly, we can find the intercepted arc corresponding to AE:
Intercepted Arc AEC = 2 \(\times\) AE = 2 \(\times\) 6 = 12
Now, we know that EC is 12 more than BD.
Let's assume the length of BD as x.
BD + 12 = EC
Now, let's consider the intercepted arcs theorem:
Intercepted Arc ADB - Intercepted Arc AEC = Intercepted Angle B - Intercepted Angle C
16 - 12 = Angle B - Angle C
4 = Angle B - Angle C.
Since Angle B and Angle C are vertical angles, they are congruent:
Angle B = Angle C.
Therefore, we can say:
4 = Angle B - Angle B
4 = 0
However, we have reached an inconsistency here.
The equation does not hold true, indicating that the given information is not consistent or there may be an error in the problem statement.
As a result, we cannot determine the length of BD based on the given information.
For similar question on length.
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3tanx3x=3 square rooted
Answer:
\(\tan 3x=\frac{\sqrt{3} }{3} =\frac{1}{\sqrt{3} } =tan\frac{\pi }{6} =tan (n\pi +\frac{\pi }{6} )\\3x=n\pi +\frac{\pi }{6} =\frac{(6n+1)\pi }{6} \\x=\frac{(6n+1)\pi }{18} \\where~x~is~an~integer.\)
Step-by-step explanation:
tan 3x=\frac{\sqrt{3} }{3} =\frac{1}{\sqrt{3} } =tan\frac{\pi }{6} =tan (n\pi +\frac{\pi }{6} )\\3x=n\pi +\frac{\pi }{6} =\frac{(6n+1)\pi }{6} \\x=\frac{(6n+1)\pi }{18} \\
where~x~is~an~integer.
Pete has three dollars less than what Linda has. if together has 81 dollars how much does a person have? I NEED HELPP I CAN MAKE YOU THE BRAINLIEST
Answer:
39$ for Pete
42$ for Linda
Step-by-step explanation:
Brainliest pls :)
“What happens to our balloon when we subtract a positive number (puffs of air)?”
the height decreases
..
angle of is a right angle. the sides of are the diameters of semicircles as shown. the area of the semicircle on equals , and the arc of the semicircle on has length . what is the radius of the semicircle on ?
The radius of the semicircle having an arc of length equal to 8.5 \(\pi\) in a right-angle triangle ABC is equal to 7.5 cm.
Given:
Angle ABC of triangle ABC is a right angle. The sides of ABC are the diameters of semicircles.
The area of the semicircle on AB equals 8\(\pi\).
Area of a semicircle = \(\pi r^2/2\)
Therefore:
\(\pi r^2/2\) = 8\(\pi\)
\(r^2 = 16\)
\(r = 4\)
Next, the arc of the semicircle on AC has a length of 8.5\(\pi\).
Length of the arc of a semicircle = \(\pi r\)
\(\pi r\) = 8.5\(\pi\)
\(r = 8.5\)
Using Pythagoras theorem
\(8.5^{2} = 4^{2} + x^{2}\)
\(x^{2} = 8.5^2 - 4^2\\\)
\(x^{2} = 56.25\)
\(x = \sqrt{56.25}\)
\(x = 7.5\)
The radius of the semicircle of BC = 7.5 Units.
Refer to this complete question for this:
Angle ABC of triangle ABC is a Right angle. The sides of ABC are the diameters of semicircles as shown. The area of the semicircle on AB equals 8pi and the arc of the semicircle on AC has a length of 8.5pi. What is the radius of the semicircle of BC?
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Grade Math
Do Not Reproc
26. What is the solution to the equation 3(4x – 11) + 15 = -6(-x + 7)?
А
X=-30
B
x= -10
C X=-4
D
x= -1
Angel is comparing the price of shirts for summer camp at two
companies. Company A charges an initial fee of $50 and $12 per shirt.
Company B charges an initial fee of $10 and $15 per shirt. Evaluate the
expressions 50 + 12x and 10 + 15x for x = 40 to find the total cost to
print 40 shirts at each company. What is the difference in cost between
the companies?
Blank 1:
Answer:
Company A: $530; Company B: $610; Difference: $80
Step-by-step explanation:
Company A:
12(40) = 480 + 50 = 530
Company B:
15(40) = 600 + 10 = 610
Difference: 610 - 530 = 80
Hope this helped!
To solve the problem we will need to calculate cost of Shirts from Company A and Cost of shirts from Company B.
The difference in cost between the two companies is $80.
Given to us
Company A charges an initial fee of $50 and $12 per shirt, 50 + 12x,Company B charges an initial fee of $10 and $15 per shirt. 10 + 15x,Cost of Shirt from Company ACompany A charges an initial fee of $50 and $12 per shirt, 50 + 12x.
given the number of shirt we need is 40, therefore,
Cost of Shirt from Company A = 50 + 12x
= 50 + 12(40)
= 50 + 480
= $530
Cost of Shirt from Company BCompany B charges an initial fee of $10 and $15 per shirt, 10 + 15x.
given the number of shirt we need is 40, therefore,
Cost of Shirt from Company B = 10 + 15x
= 10 + 15(40)
= 10 + 600
= $610
Difference in costthe difference in cost between the two companies
= Cost of 40 Shirt in Company B - Cost of 40 Shirt in Company A
= $610 - $530
=$80
Hence, the difference in cost between the two companies is $80.
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A taxi company charges based on the function rule P(t) = 0.5t + 2.5, where t is the
time taken for a trip (in minutes) and P(t) is the amount in dollars. If a trip takes 30 minutes, how much will it cost the client?
Answer:
$17.5
Step-by-step explanation:
hello,
we need to compute P(30)
P(30) = 0.5*30 + 2.5 = 15 + 2.5 = 17.5
hope this helps
Pleas Help ASAP Giving brainliest if correct <3
Answer: the first one is 7/9 and the second one is option 2
Step-by-step explanation:
4+7 = 11
< or> = open dot
2p + 7p = 54
Need to share more work
Answer:
p=6
Step-by-step explanation:
2p + 7p = 54
Combine like terms
9p = 54
Divide by 9
9p/9 = 54/9
p = 6
Answer:
p=6
Step-by-step explanation:
We are given the equation:
\(2p+7p=54\)
We want to find p, so we must isolate p on one side of the equation.
First, combine like terms on the left side of the equation. Both terms have the variable "p" and can be added.
\((2p+7p)=54\)
\(9p=54\)
p is being multiplied by 9. The inverse of multiplication is division. Divide both sides of the equation by 9.
\(\frac{9p}{9}=\frac{54}{9}\)
\(p=\frac{54}{9}\)
\(p=6\)
Let's check our solution. Plug 6 in for p and solve.
\(2p+7p=54\)
\(2(6)+7(6)=54\)
\(12+42=54\)
\(54=54\)
This checks out, so we know our solution is correct.
The solution is 2p+7p=54 is p=6
differenciate the Function 1/ X3
Step-by-step explanation:
To differentiate the function f(x) = 1/x^3, we can use the power rule of differentiation. Here's the step-by-step process:
Write the function: f(x) = 1/x^3.
Apply the power rule: For a function of the form f(x) = x^n, the derivative is given by f'(x) = nx^(n-1).
Differentiate the function: In our case, n = -3, so the derivative is:
f'(x) = -3 * x^(-3-1) = -3 * x^(-4) = -3/x^4.
Therefore, the derivative of the function f(x) = 1/x^3 is f'(x) = -3/x^4.
About how many inches are equivalent to 3 meters? Round the number(s) needed in the table to the nearest tenth to find the approximate answer. Find the unit rate for each brand. Round to the nearest cent (hundredth).
A. 10 inches
B. 75 inches
C. 100 inches
D. 120
Answer:
D
Step-by-step explanation:
three meters is 118.11 inches, so if you were to round that you would get 120 inches. That means the answer is D.
The measure of one angle of a right triangle is 26°. Find the measure of the other angle.
Enter an integer or decimal number [more...]
Question Help:
Post to forum
Calculator
Answer:
64°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
let the third angle be x , then
x + 90° + 26° = 180°
x + 116° = 180° ( subtract 116° from both sides )
x = 64°
the other angle is 64°
Which of the following is a factor of 24x^6 - 1029y^3?
The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)
Factors of Polynomials:When a polynomial is factored, its prime factorization is used to break it down into the product of two or more other polynomials. Polynomials may be easily simplified with the use of factoring.
When a polynomial is factored, its factors are expressed as the polynomial's product. Finding the zeros of the polynomial expression or the values of the variables in the supplied expression are both made possible by factoring polynomials.
Here we have
24x⁶ - 1029y³
Take 3 as common
=> 3(8x⁶ - 343y³)
As we know 8 = 2³ and 343 = 7³
=> 3[(2x²)³ - (7y)³]
From the algebraic identities
a³-b³ = (a-b)(a²+ab+b²)Take a = 2x² , b = 7y and apply above formula
=> 3[(2x² - 7x)((2x²)²+(2x²)(7y)+(7y)²)]
=> 3 [ (2x² - 7x) (4x⁴ +14x²y+49y²)]
Therefore,
(24x⁶ - 1029y³) = 3 (2x² - 7x) (4x⁴ +14x²y+49y²)
Therefore,
The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)
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Does Raising the LCL and lowering the UCL, in the absence of any other changes, will have no effect on the process mean?
Answer:
no it does not
Step-by-step explanation:
Answer: no it doesn't
Step-by-step explanation:
The reason for this is that even when the process does shift, the sample means from the shifted process may still fall within these wide UCL and LCL limits.
Someone help me on this please
Least-cost planning methodology (LCPM), sometimes known as "least-cost planning" (LCP), is a relatively new strategy used by economists to make logical decisions about investments in transportation and other urban infrastructure projects.
What does the term "cost least" mean?Least Cost refers to the lowest cost; in Example 1.Least-cost planning methodology (LCPM), sometimes known as "least-cost planning" (LCP), is a relatively new strategy used by economists to make logical decisions about investments in transportation and other urban infrastructure projects. It is founded on a cost-benefit analysis.A contract is awarded to the company that submitted the lowest financial proposal among those that passed the technical review via the "Least-Cost Selection" (LCS) procedure, which is based on a two-step consecutive evaluation.Least-cost planning methodology (LCPM), sometimes known as "least-cost planning" (LCP), is a relatively new strategy used by economists to make logical decisions about investments in transportation and other urban infrastructure projects.The complete question is,
What is a project's least cost?
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Helppppppppppppponnmammam
Answer:
xd
Step-by-step explanation:
1*41*4*4*
7 7/8 - 3 1/4 =? What’s the answer
Answer:
4 5/8
Step-by-step explanation:
7 7/8= 63/8
3 1/4= 13/4= 26/8
63/8 - 26/8= 37/8
37/8= 4 5/8
What is the most accurate measurement of 1 mile
Answer:
there are 5280 feet in a mile
Step-by-step explanation:
Jo has a 10 GB monthly cell phone plan. Jo has used 8 GB in the first 10 days of the month. At that rate, how many GB will Jo use after a month of 30 days?
Answer:
Step-by-step explanation:
1st 10 days - 8 GB
2nd 10 days - 8 GB
3rd 10 days - 8 GB
________________
30 days - 24 GB
What is 40% of 160?
Answer:
40% of 160 is 64
Step-by-step explanation:
You can easily find the answer in one step, just multiplying the whole (160) by the percentage (40) divided by 100.
So, 40% of 160 = 160 × 0.4 = 64.
Answer:
64
Step-by-step explanation:
You first have to subtract 40% from 160 and then you subtract that amount with is 96 from 160 and you get your answer 64
use the distributive property to simplify the expression. (100+4x)20+7x
Answer:
\(2000 + 80x + 7x = 2000 + 87x\)
What number am I?
2.
I am a 6-digit number.
One of my 4's is worth 40,000. The other
My 9 is worth 9[100,000].
My 2 is worth 20.
All the other digits are 1.
Answer:
Step-by-step explanation:
The first digit is 9
the 2nd one from the right = 2
So far what you have is
911, 121
941,121
There seems to be a second 4 implied. What is it? I'll edit if you get it to me in the next hour.
what is the solution to this system of equations?
4x+y=6
x-2y=6
x=2 and y=(-2)
hope it helps...
Answer:
y = ( -2 )
x = 2
Step-by-step explanation:
4x + y = 6 ⇒ ( 1 )
x - 2y = 6 ⇒ ( 2 )
x = 6 + 2y ⇒ ( 3 )
First, let us find the value of y.
For that, we can replace x with ( 6 + 2y ).
Let us use equation 1 for that.
4x + y = 6
4 ( 6 + 2y ) + y = 6
24 + 8y + y = 6
24 + 9y = 6
9y = 6 - 24
9y = -18
Divide both sides by 9.
y = -2
Now let us find the value of x by replacing y with -2.
For that let us take equation 3.
x = 6 + 2y
x = 6 + 2 × -2
x = 6 - 4
x = 2
3) The distance between two villages is 1.9 km.
The length between the two villages on a map is 19 cm.
What is the scale of the map?
☽------------❀-------------☾
Hi there!
~
1:10000 would be the scale.
❀Hope this helped you!❀
☽------------❀-------------☾
» Felix's science class is competing to see who can build the tallest tower. Each group of students gets 10 newspapers and 2 yards of tape. Felix's group decides to roll up each of their newspapers. Then, they tape each roll with 4 inches of tape. How many inches of tape do they have left?
Answer:
32 inches
Step-by-step explanation:
Let's first find how many inches of tape is equivalent to 2 yards
1 yard = 3 feet = 36 inches
2 yards = 36*2 inches = 72 inches
Now since Felix's group used 4 inches of tape for each of the 10 newspapers then they used...
4*10 inches=40 inches
We subtract 40 from 72 to get...
72-40=32
Felix's group had 32 inches of tape left.
4. The ages of a group of tourists on a bus are 3, 6, 9, 11, 15, 26, 27, 30, 30, 31, 32. What is the standard deviation of this tour group? * a. 10.711 O b. 11.234 O c. 114.726 O d. 126.202
Answer: b. 11.234
Step-by-step explanation:
used ti84
put in values in list 1
go into 1-var stats
find Sx which is the stand dev for sample
What fraction of a pound is an ounce?
Answer:
1/16
Step-by-step explanation:
there are 16 ounces in a pound
Answer:
1/16 pounds
Step-by-step explanation: