A triangle has side lengths measuring 2x 2 ft, x 3 ft, and n ft. which expression represents the possible values of n, in feet? express your answer in simplest terms. x – 1 < n < 3x 5 n = 3x 5 n = x – 1 3x 5 < n < x – 1
The expression x – 1 < n < 3x + 5 represents the possible values of n, in feet whose side lengths are (2x+2) ft, (x+3) ft, and n ft.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have a triangle whose side lengths measures are (2x+2) ft, (x+3) ft, and n ft.
If we take the first two sides are (2x+2) ft, (x+3) ft, and third is n ft.
By the triangle property, that sum of the two sides is always greater than the third side.
2x+2+x+3 > n
3x+5 > n .....(1)
Now take first two sides as n ft, (x+3) ft, and third side (2x+2) ft
n+x+3 > 2x+2
n > x-1 .....(2)
From the inequality (1) and (2), we get:
x – 1 < n < 3x + 5
Thus, the expression x – 1 < n < 3x + 5 represents the possible values of n, in feet whose side lengths are (2x+2) ft, (x+3) ft, and n ft.
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Pls help I don’t understand I’m not that smart.
Answer:
47.5
Step-by-step explanation:
The formula for the area of half a circle is (pi * radius^2)/2
diameter = 11
pi = 3.14
radius = diameter/2 = 11/2 = 5.5
A = (3.14 * 5.5^2)/2
A = 94.985/2
A = 47.4925
given that 9x=28-5x.find the value of x
[tex]~~~~9x=28-5x\\\\\implies 9x +5x = 28\\\\\implies 14x = 28\\\\\implies x = \dfrac{28}{14}\\\\\implies x = 2[/tex]
Step-by-step explanation:
Given Equation,
[tex]\\ \longrightarrow \qquad \sf 9x=28-5x \\ \\ [/tex]
Now, Adding 5x to both sides we get :
[tex]\\ \longrightarrow \qquad \sf 9x + 5x=28-5x + 5x \\ \\ [/tex]
[tex] \longrightarrow \qquad \sf 14x=28 \\ \\ [/tex]
Dividing 14 from both sides we have :
[tex]\\ \longrightarrow \qquad \sf \frac{14x}{ 14 } = \frac{28}{14} \\ \\ [/tex]
[tex] \longrightarrow \qquad \sf x=2 \\ \\ [/tex]
Therefore,
The value of x is 2-8x + 5 greater than or equal to -3
please solve this equation
Answer:
The greater than or equal to sign is:
>= or ≥.
Now let's solve for this inequality.
-8x + 5 ≥ -3
First, we need to get rid of any constants.
Get rid of a constant by performing the inverse operation of it, we always apply this to both sides of an inequality.
The inverse operation of addition (since it is a positive 5) is subtractions.
So, we subtract 5 from both sides;
-5 -5
Now we have:
-8x ≥ -8
Now, all we need to do is isolate x from it's co-efficient, 8.
To do that, we also utilize the inverse operation.
The inverse operation of multiplication (since -8 is being multiplied by x) is division, we apply this to both sides of this inequality.
So, we divide by -8 from both sides;
÷ -8 ÷ -8
And we'll end up with:
x ≥ 1, therefore the solution to this inequality is 1.
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Question 2(Multiple Choice Worth 5 points)
(06.08A LC)
Look at the triangle ABC.
Coordinate grid shows negative 5 to positive 5 on the x axis and y axis at intervals of 1. A triangle ABC is shown with A at ordered pair 4, 5, B at ordered pair 2, 1, and C at ordered pair 4, 1.
What is the length of the side AB of the triangle?
2
Square root of 20
6
Square root of 38
Answer:
√20 units
Step-by-step explanation:
[tex]Solution,\\\\\hookrightarrow Here,\\\\\hookrightarrow Coordinate\:of\::\\\\\hookrightarrow A(4,5),B(2,1),C(4,1)\\\\Now,\\\\Let,\\\\(x_1,y_1)=(4,5)\\\\(x_2,y_2)=(2,1)\\\\Using\:distance\:formula\\\\Distance\:of\:AB=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}} \\\\Distance\:of\:AB=\sqrt{(2-4)^{2}+(1-5)^{2}} \\\\Distance\:of\:AB=\sqrt{(2-4)^{2}+(1-5)^{2}} \\\\Distance\:of\:AB=\sqrt{(-2)^{2}+(-4)^{2}} \\\\Distance\:of\:AB=\sqrt{4+16} \\\\Distance\:of\:AB=\sqrt{20}\: units[/tex]
Eight friends went to a pizza party they got to create their own pizza
what is 6 divided by 2 (1+2)
Pls help meee :)
Answer:
its 9
Step-by-step explanation:
6 ÷ 2 (1+2)
3x3=9
i need help asap !!!!!!
Answer:(6, -4)
Step-by-step explanation: That’s where they meet at point B
Answer:
Answer:(6,-4)
Step-by-step explanation:
they meet at point B
A hot air balloon travles 18 miles in 3 hours. at this rate, how many miles will the hot air balloon travel in 3/4 hour
Answer:
4.5 hours
Step-by-step explanation:
The number of miles the hot air ballon will travel in 3/4 hours at the same rate of 18 miles in 3 hours is 4.5 miles.
help me if you know the answer dont reply if u dont know
Answer:
A). x=3/4
Step-by-step explanation:
2(6-2x)-2x=2(5+x)-4
Rearrange terms,
2(6-2x)-2x=2(5+x)-4
2(-2x+6)-2x=2(5+x)-4
Distribute,
2(-2x+6)-2x=2(5+x)-4
-4x+12-2x=2(5+x)-4
Combine like terms,
-4x+12-2x=2(5+x)-4
-6x+12=2(5+x)-4
Rearrange terms,
-6x+12=2(5+x)-4
-6x+12=2(x+5)-4
Distribute,
-6x+12=2(x+5)-4
-6x+12=2x+10-4
Subtract the numbers,
-6x+12=2x+10-4
-6x+12=2x+6
Subtract 12 from both sides,
-6x+12=2x+6
-6x+12-12=2x+6-12
-6x=2x+6-12
-6x=2x-6
Subtract 2x from both sides,
-6x=2x-6
-6x-2x=2x-6-2x
-8x=2x-6-2x
-8x=-6
Divide both sides by the same factor ( -8),
-8x/-8=-6/-8
x=-6/-8
x=3/4
Mark is looking for professional financial assistance. mark has never invested before and is not quite sure where to start. he knows that he wants to build up investments for future projects such as retirement, but he is not sure how to navigate investment in light of his existing debts. recommend an appropriate financial professional for mark. a. full-service broker b. discount broker c. accountant d. financial planner
Mark is advised to consult a financial planner as he will carefully be able to do financial planning when, where and how much to invest as per the desired goals.
What is financial planning?Financial Planning is a process of planning the financial goals of an individual by proper assessment of resources and putting forth the steps that are to be performed to achieve those goals.
A financial planner is a qualified expert who can help in making good investments on behalf of someone who does not have expert knowledge or time to do so.
Hence, option D; Mark should consult a financial planner professional for the purpose of beginning his investment journey by financial planning and achieving the goals thereunder.
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Answer:
D
Step-by-step explanation:
edge 2023
4) Increase 340g by 20%
Add the percentage as a decimal
To 1 to get 1.20
Multiply:
340 x 1.20 = 408
Answer: 408
The body of water that lies to the south of Europe is __________. A. the Atlantic Ocean B. the Baltic Sea C. the Mediterranean Sea D. the Pacific Ocean Please select the best answer from the choices provided A B C D
Answer:
C. Mediterranean Sea
Step-by-step explanation:
The Mediterranean Sea is south of western Europe. The Atlantic doesn't really touch Europe, the Pacific is east of Europe, and the Baltic sea is in northern Europe.
Jon has 212 meters of wood that he plans to cut into 4 equal pieces to use as part of his new wood floor. What is the length, in meters, of each piece of wood
Answer:
53 meters
Step-by-step explanation:
because if you do 212÷4 you will get 53 meters
The following information is known about a savings account.
Time = 6 years
Interest rate = 1.9%
Principal = $850
What amount of total interest will be earned at the end of year 6?
$16.15
$96.90
$946.90
$9,690.00
Answer:
96.90
Step-by-step explanation:
850 * .019 * 6 =
This is simple interest ( no compounding interest)
Answer:
$96.90
Step-by-step explanation:
Let's find 1.9% of our amount, which is $850.
1% of 850 = 8.5
we need to get 1.9%, so lets multiply our current 1 percent by 1.9, to get what 1.9% would be.
1% of 850 = 8.5
x1.9 x1.9
1.9% = 8.5 x 1.9
1.9% = $16.15
This means that every year, the savings account gains $16.15 in interest. However, this doesn't account for all 6 years. So we multiply 16.15 by 6, for the 6 years that the money is in the saving account for.
$16.15 x 6 = $96.90 !
So, the total interest is $96.90 :)
I need so much help with these two and quick if anybody can helpe out thanks.
Answer:I need so much help with these two and quick if anybody can helpe out thanks.
Step-by-step explanation:
I need so much help with these two and quick if anybody can helpe out thanks.
If anyone knows lmk, ty.
Answer:
6
Step-by-step explanation:
When multiplying numbers with the same base, just add the exponents. (4+2=6)
ron buys a pair of shoes for $60 plus a 9.5% tax. shawna buts a pair of shoes dor $74 plus a 9.5 tax
enter the anount Ron and Shawna paid, including tax
Answer:
$146.73
Step-by-step explanation:
1. Calculate the 'Amount of sales tax':
Formula:
Amount of sales tax =
Sales tax rate × Price without sales tax
Calculation:
Amount of sales tax =
9.5% × 134 =
9.5/100 × 134 =
9.5 ÷ 100 × 134 =
0.095 × 134 =
12.73
2. Calculate the 'Price with sales tax':
Formula:
Price with sales tax =
Price without sales tax + Amount of sales tax
Calculation:
Price with sales tax =
134 + 12.73 =
146.73
Answer:
Amount of sales tax = $12.73 dollars;
Price with sales tax = $146.73 dollars;
A park maintenance person stands 16m from a circular monument. Assume that her lines of sight from tangents to the monument and make an angle of 47 what is the measure of the arc of the monument that her lines of sight intersect?
A) 23. 5
B) 94
C) 266
D) 133
Answer:
D 133 degrees
Step-by-step explanation:
The measure of an angle external to a circle = the difference of the two arcs intercepted divided by 2
47 = [ (360 - x) - x ] / 2
94 = 360 - 2x
x = 133 degrees of the arc
What is the slope of the line that passes through the points ( 8 , − 6 ) and (8,−9)? Write your answer in simplest form.
Answer:
No slope
Step-by-step explanation:
The points given are on the vertical line x = 8
vertical lines have an 'undefined' slope....no slope
What is the product of 960 and 1.0 x 106 expressed in scientific notation?
The product of 960 and 1.0 x 106 expressed in scientific notation is 9.6 x 10^8.
The product of 960 and 1.0 x 10⁶ expressed in scientific notation is 9.6 x 10⁸.
To express the product of 960 and 1.0 x 10⁶ in scientific notation, we first perform the multiplication:
960 x 1.0 x 10⁶
= 960 x 10⁶
= 960,000,000
Since the result is greater than 1, but less than 10, we need to express it as a number between 1 and 10 multiplied by a power of 10.
In this case, we can express 960,000,000 as 9.6 x 10⁸.
Therefore, the product of 960 and 1.0 x 10⁶ expressed in scientific notation is 9.6 x 10⁸.
This notation represents a number that is 9.6 times 10 raised to the power of 8. It is a compact and convenient way to represent large numbers, especially in scientific and engineering contexts, where large quantities are common.
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Find A^-1, if A =
[4 6
2 4]
Answer:
B
Step-by-step explanation:
¼[4. -6]
¼[-2. 4]
to get inverse. add - sign to a21 and a11
then find the magnitude
If you derive a y-value by taking the tangent of an x-value, can you idently
corresponding to that y-value by looking at the graph? Justify your answer.
Type your response here:
Answer:
Step-by-step explanation:
Certainly we can estimate y = tan x from the graph of this function, for any x at which the function is defined. Don't expect exact values, however.
Sullivan is hanging on by only 1/4 of
his fingers when Randall is trying to get
him to fall. If Sullivan has a total of eight
fingers, how many fingers is he holding
on by
Answer:
Sullivan is hanging on by 2 fingers.
Step-by-step explanation:
Since Sullivan has 8 fingers, a quarter of them (1/4) would be 8*1/4=2.
Events A and B are disjointed.
P(A) = 4/11; P(B) = 3/11 .
Finda P(A or B)
7/11
4/11
3/11
8/11
7/11 is the final answer.
use the formula for disjointed events: P(A or B) = P(A) + P(B)
=================================
P(A or B) = P(A) + P(B)
P(A or B) = 4/11 + 3/11
P(A or B) = 7/11
Quadratics, parabola. Please help, will give Brainliest
Answer:
See image below
Step-by-step explanation:
ASAP HELP
Who had the lowest median score? Justify your answer using mathematical reasoning.
Answer:
Annie:71
Step-by-step explanation:
Annie had the lowest because the scores go as said: 62,70,70,71,77,78,79
and you cross out the lowest and highest until you reach the middle
And for Katie: 0,89,93,93,95,100,100
crossing out until you reach the middle.
If you were to flip the coin 15 times, how many times will the coin land on tails based on the experimental probability? Show your work in the box below the image.
The coin will land 7 times tail based on the experimental probability.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
When the coin tossed 45 times.
Head= 24, tail = 21
So, fraction of appearing tail will be
= 21 / 45
= 0.466667
Now, if the coin tossed 15 times then the coin land on tails
= 15 x 0.466667
= 7
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PLEASE HELP ME MY 30 QUESTIONS ARE DUE TODAY!!!! ( 19 POINTS) (will also give brainliest)
Answer:
10 ft
Step-by-step explanation:
120÷12=10
So, 10x12=120
The answer is 10 ft
Answer:
B
Step-by-step explanation:
To find the width of the bedroom, divide 120 by 12. 10 feet is therefore the width. (Area = length x width.)
I am on my trigonometry unit in math and don’t know what to do for this. I also really need work shown!
Answer:
The flight was 137.45 miles farther than the direct path.
(make slight changes if directions were given on how to round. This is to the nearest hundredth)
Step-by-step explanation:
Use the Law of Cosines.
c^2=
a^2+b^2-2abcosC
You know two sides and the angle in between. The Law of Cosines will give us the third side.
The third side is the direct path of the airplane. We'll add the two other given sides to find the detour route that they took instead.
Then subtract the smaller number (direct route) from the actual route. See image.