Answer:
We will take two angles and name them 'x'
And their sum must equal 180
So,
x + x = 180
2x = 180
x = 180/90
x = 90
Hence, it is proved that the bisector of the vertical angle of isosceles triangle is the perpendicular bisector of the base.
Simplify the radical expression.
[tex] \sqrt{40} [/tex]
Answer:
√40 = √ ( 2× 2 ×2 ×5) = 2√10
.........
if A and B are overlapping subset of a universal set U,write the relation between n(U), n(A U B) and (A U B) compliments
Answer:
n(U) = n(AUB) + n(AUB)'
Step-by-step explanation:
The cardinality of the universal set will be to add the cardinalities of both the union of A and B i.e (A U B) and and the compliments of A and B i.e n(AUB)'
1) (7 X 6) = 2 [{45 - 3(7 X 2 - 15 + 6)} + 4]
Answer:
1) (7 X 6) = 2 [{45 - 3(7 X 2 - 15 + 6)} + 4]
or,42=2[{45-3(14-15+6)}+4]
or,42=2[{45-3(14-21)}+4]
or,42=2[{45-3X(-7)}+4]
or,42=2[45+21}+4]
or,42=2X70
:42=140
The equation after simplification is [tex]7x^{6}+42x^{2} -152=0[/tex].
What is simplification of an equation?Simplification of an equation is the process of writing an equation in the most efficient and compact form without affecting the value of the original equation. It involves, multiply out the brackets and then simplify the resulting equation by collecting the like terms.
For the given situation,
The equation is
[tex]7x^{6}=2[{45-3(7x^{2} -15+6)}+4][/tex]
⇒ [tex]7x^{6}=2[{45-3(7x^{2} -9)}+4][/tex]
⇒ [tex]7x^{6}=2[{45-21x^{2} +27}+4][/tex]
⇒ [tex]7x^{6}=2[-21x^{2} +76][/tex]
⇒ [tex]7x^{6}=-42x^{2} +152[/tex]
⇒ [tex]7x^{6}+42x^{2} -152=0[/tex]
Hence we can conclude that the simplified equation is [tex]7x^{6}+42x^{2} -152=0[/tex].
Learn more about simplification of an expression here
https://brainly.com/question/13730519
#SPJ2
Which value of q is a solution to this equation?
q
-- = 2
9
answers:
A: q=4
B: q=0
C: q=2
D: q=6
a padock measures 100m x 150m . how many times does jo need to run around it to go 3km?
SIZE
400
UNIT OF MEASURE
meters
BASED ON LANE
1
To begin, you must do Steps 1-3 to enter (or verify) the correct information for the track being used. Frequently-used values have been pre-entered in all three steps. Change them only if required.
Step 1. ENTER THE TRACK SIZE (i.e., the distance covered when completing one lap - normally in Lane 1) and select the unit of measure.
most outdoor tracks are either 400 meters or 440 yards (4 laps to a mile)
most indoor tracks are either 200 meters or 220 yards (8 laps to a mile)
See NOTE 3 for determining track size. Also note that a very small number of tracks use a lane other than Lane 1 to define the track size (see NOTE 4). If the size you entered is not based on Lane 1, select the lane number upon which the size is based.
Step 2. ENTER THE LANE WIDTH of lanes on the track (they should all be the same width). While the best tracks (IAAF, Olympic, etc.) have lanes that are 1.22m to 1.25m wide, most high school and college tracks have lane widths measured in inches (e.g., 42"). See NOTE 5 for information on how to measure lane width. LANE WIDTH
42
Step 3. IS THERE A RAISED CURB on the inside of Lane 1 (normally 2" - 2.5" high)? If there is, select "yes." If the inside edge of Lane 1 is defined only by a painted line, select "no." See NOTE 6 for further information about curbs.
no
Now that you have completed Steps 1 - 3, select a calculation section below, enter the requested parameter(s), and click on the "click here" calculation button for that section. After noting (or printing) the results, enter different parameters for the same calculation or proceed to another calculation section.
ANWERS: 42
Answer:
Six times.
Step-by-step explanation:
Find the perimeter: 100+100+150+150= 500 m all the way around
3 km = 3000 m
3000 divided by 500 is 6 times.
Calculate the volume of the cylinder & Pie = 3.14 Zom 10cm and radius 7cm
Answer:
1538.6cm^3
Step-by-step explanation:
See the image for solution
Hope it helps
Have a great day
(70 POINTS + BRAINLYIEST)
Solve Geometric Sequence:
243, ___, ___, ___, ___, ___, 1/3
Solve for middle terms + r (common ratio)
Hi! I'm happy to help!
To solve this, we first need to find our what could give us 1/3. WE realize that the sequence is descending, so we must be dividing. We can then, from here, multiply our top number by 1/3, because that is our end number, and could possibly work for our common ratio. From this, we can check if this fits in our equation. (dividing by 3)
243×1/3=81
81×1/3=27
27×1/3=9
9×1/3=3
3×1/3=1
1×1/3=1/3
We can check if this is the correct amount of numbers that would fit into the geometric sequence. Let's see if this fits in:
243, 81, 27, 9, 3, 1, 1/3
This does fit into our geometric sequence. Our middle terms are underlined. (missing numbers)
Our common ratio is the number we multiply the previous number by to get our next, so our common ratio is 1/3.
So, our geometric sequence is 243, 81, 27, 9, 3, 1, 1/3, our middle terms are 81, 27, 9, 3, and 1. Our common ratio is 1/3.
I hope this was helpful, keep learning!
Answer:
Middle terms 81, 27, 9, 3, 1 or -81, 27, -9, 3, -1Common ratio 1/3 or -1/3Step-by-step explanation:
Given:
t₁ = 243, t₇ = 1/3To find the terms in between.
Find the common ratio first:
tₙ = t₁rⁿ⁻¹1/3 = 243*r⁶r⁶ = 1/729r = [tex]\sqrt[6]{1/729}[/tex]r = ± 1/3The terms in between are:
t₂ = 243*1/3 = 81 or -81t₃ = 81*1/3 = 27 t₄ = 27*1/3 = 9 or -9t₅ = 9*1/3 = 3t₆ = 3*1/3 = 1 or -11.) 10 is a natural, whole, integer, rational or irrational number
Answer:
10 is whole number .......
yes ten is natural,whole, integers,rational
Step-by-step explanation:
because natural contains all numbers wiThout 0 and whole contains all numbers with 0 so 10 is both of them.Integers are the number which is not a fraction,it is a whole number.And 10 is a rational number because all integers are rational.But it is not irrational.
EASY MATH ALGEBRA 1 PLEASE HELP FAST GIVING BRAINLIEST IF CORRECT!
Answer:
|x| + 1
Adding/subtracting on the outside moves it up/down.
Adding/subtracting on the inside (such as (x - 2) moves it right 2) moves it left/right.
If JL = 8x-3 and LK = 4x + 57, Find JK
Answer: JK = 234
Concept:
Here, we need to know the idea of the segment addition postulate.
The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Solve:
PART I: Find the value of xGiven information
JL = 8x - 3
LK = 4x + 57
Given expression deducted from the given figure
JL = LK
Substitute values into the expression
8x - 3 = 4x + 57
Add 3 on both sides
8x - 3 + 3 = 4x + 57 + 3
8x = 4x + 60
Subtract 4x on both sides
8x - 4x = 4x + 60 - 4x
4x = 60
Divide 4 on both sides
4x / 4 = 60 / 4
x = 15
-------------------------------------------------------------------------------
PART II: Find the value of JKGiven information
JL = 8x - 3
LK = 4x + 57
x = 15
Given expression deducted from the segment addition postulate
JK = JL + LK
Substitute values into the expression
JK = 8x - 3 + 4x + 57
JK = 8(15) - 3 + 4(15) + 57
Simplify by multiplication
JK = 120 - 3 + 60 + 57
Simplify by simple operation (addition/subtraction)
JK = 117 + 60 + 57
JK = 177 + 57
[tex]\boxed{JK=234}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
What is 15 percent of 1135? Also Explain how you came up with your solution and the actions you took.
Answer:
170.25
Step-by-step explanation:
I made 15% into a decimal. The decimal, being 0.15, was multiplied to 1135 to get the answer 170.25
1135 x 0.15 = 170.25
The value of the percentage is,
→ 15 ÷ 100
→ 0.15
We have to find,
→ 15% of 1135
Let's find the solution,
→ 1135 × 0.15
→ 170.25
Hence, the answer is 170.25.
what does PQ=?
what does QR=?
Answer:
PQ=12
QR= 8
Hope it helps.
Answer: PQ = 12
QR = 8
Step-by-step explanation:
3x + 6 + 2x+4 = 20
5x = 20- 10
so, x = 2
so
PQ = 3x + 6 = 3*2+6 = 6+6 = 12
QR = 2x+4 = 2*2+4 = 4+4 = 8
A Cheetah running at 61 miles per hour is chasing an American Antelope that is running
at a rate of 1583 meters per minute.
Which animal is running at a faster rate?
Answer:
Cheetah
Step-by-step explanation:
American Antelope's speed = 94980 meters per hour
= 59 miles per hour
The Cheetah is faster than the American Antelope
Answer:
Step-by-step explanation:
The American Antelope is going at a rate of 1583 meters / minute
1583 m [ 1 km / 1000 m ] = 1.583 km / minutes
In an hour, the Antelope will go 1.583 km / minute * 60 min / hour
1.583 * 60 = 94.98 km / hour
The cheetah is going 61 miles / hour * 1.6 km / mile = 97.6 km/hour
The Cheetah is not going to go hungry tonight.
32600÷9330?
Please answer:(
Answer:
3.49410504
It is the answer hope it helps.
Mark me as Brainliest plz
Answer:
3.49410503751
Step-by-step explanation:
But as a smaller version it is
3.494
What’s the Unit Rate for 183 miles in 3 hours?
Answer:
183 divided by 3 = miles per hour
183 / 3 = 61
61 mph
Answer:
61
Step-by-step explanation:
To find unit rate, divide the amount of length to the time. In this instance, 183 miles is the length and 3 hours is the time.
Divide:
183/3 = 61
So, there are 61 miles in 1 hour.
Hope this helped.
For the function f(x) = −2x − 9, identify the values of f(0), f(1/2), and f(−2)
Step-by-step explanation:
f(0)=-2(0)-9=0-9=-9
f(1/2)=-(1/2)-9=-1/2 -9=-19/2
f(-2)=-2(-2)-9=4-9=-5
Answer:
f(0) = -9f(1/2) = -10f(-2) = -5Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Question One. Identify the value of f(0)
f(x) = -2x - 9
f(0) = -2(0) - 9
f(0) = 0 - 9
f(0) = -9
Question Two. Identify the value of f(1/2)
f(x) = -2x - 9
f(1/2) = -2(1/2) - 9
f(1/2) = -1 - 9
f(1/2) = -10
Question Three. Identify the value of f(-2)
f(x) = -2x - 9
f(-2) = -2(-2) - 9
f(-2) = 4 - 9
f(-2) = -5
Hope this helps!! :)
Please let me know if you have any questions
1.) √12 is a natural, whole, integer, rational or irrational number
Factorize
the question given below
[tex] \frac{p^{4} }{ {q}^{4} } + \frac{ {p}^{2} }{ {q}^{2} } + 1 \\ \frac{ {p}^{4} + {p}^{2} {q}^{2} + {q}^{4} }{ {q}^{4} } \\ \\ \frac{( {p}^{2} + {q}^{2} +pq)( {p}^{2} + {q}^{2} - pq) }{ {q}^{4} } [/tex]
I hope I helped you^_^
In a hotel, 40 people occupy excatly 26 rooms. Each room is occupied by either one or two people. How many rooms are occupied by exactly one person?
Explanation:
Let's say that the first 26 people will occupy each of the 26 rooms. This means that, so far, there's one person per room.
There are 40-26 = 14 people left. Let's say those 14 people occupy the first 14 rooms. This means that the first 14 rooms now have 2 people in them per room. The remaining 26-14 = 12 rooms still have one person per room.
Tara is saving for an overseas trip. Her taxable income is usually about $20000. She estimates that she will need $5000 for the trip, so she is going to do some extra work to raise the money. How much extra will Tara need to earn in order to save the extra $5000 after tax?
An income is taxable is such income falls into a category where a proportion of the income is removed, as tax. To have an extra $5000 after tax, Tara must save $6173.
Given that:
[tex]Earnings = \$20000[/tex] --- normal earnings
[tex]Amount = \$5000[/tex] ---- the amount needed
From the complete question, the tax rate for earnings between $18201 and $37000 is 19%.
Let the additional amount be x.
So, the equation that calculates the amount needed (after tax) is:
[tex]x(1 - 19\%) = 5000[/tex]
Express as decimal
[tex]x(1 - 0.19) = 5000[/tex]
[tex]x(0.81) = 5000[/tex]
Make x the subject
[tex]x = \frac{5000}{0.81}[/tex]
[tex]x = \$6173[/tex]
Hence, she needs to make an extra of $6173 to save $5000
Read more about taxable income at:
https://brainly.com/question/17347618
At Bob's binders, a set of 3 notebooks costs $4.20. At Pam's Paper Place a set of 4 notebooks costs $5.20. What is the unit price of the notebooks at each store? Which is the better buy?
Step-by-step explanation:
At Bob's binders, the unit price = $4.20 ÷ 3
= $1.40
At Pam's Paper Place the unit price = $5.20 ÷ 4 = $1.30
the better buy is at Pam's Paper place
Which one does not belong? Explain your reasoning.
Answer:
17
Step-by-step explanation:
17 is the only prime number present.
Answer:
17 does not belong
Step-by-step explanation:
In this image (and problem), 17 is the only prime number there.
Hopefully this helped you out!
The morning temperature was at 23.5° F. Later that evening the temperature had dropped to 15.6° F. What was the change in temperature?
According to Jake the temperature had a change of -7.9° F.
Is Jake’s answer a true of false statement? Please explain your reasoning for your answer.
Answer:
Jake's answer is true; the change in temperature is -7.9° F.
Step-by-step explanation:
The change in temperature is the final value minus the initial value. Evening minus the morning.
The final value is 15.6° F, the initial value is 23.5° F.
So 15.6 - 23.5 = -7.9
Jake's answer is true.
Differentiate
[tex] \sqrt{x} + \frac{1}{5x} - 3[/tex]
with respect to their variable
[tex]\\ \tt\longmapsto \dfrac{d}{dx}\sqrt{x}+\dfrac{1}{5x}-3[/tex]
[tex]\\ \tt\longmapsto \dfrac{d}{dx}x^{\frac{1}{2}}+5x^{-1}-3[/tex]
Derivative of any constant is 0[tex]\\ \tt\longmapsto \dfrac{d}{dx}x^{\frac{1}{2}}+5x^{-1}[/tex]
[tex]\boxed{\sf \dfrac{d(x^n)}{dx}=nx^{n-1}}[/tex]
[tex]\\ \tt\longmapsto \dfrac{1}{2}x^{\frac{-1}{2}}-5x^{-2}[/tex]
[tex]\\ \tt\longmapsto \dfrac{x}{2}^{\frac{-1}{2}}-\dfrac{1}{5x^2}[/tex]
[tex]\\ \tt\longmapsto -\sqrt{\dfrac{x}{2}}-\dfrac{1}{5x^2}[/tex]
write each fraction number as a decimal 2 1/8
Answer:
2 1/8 as a decimal is 2.125
Step-by-step explanation:
Answer:
2.125
Step-by-step explanation:
To find the decimal version of the fraction number, you need to divide 1/8, which is .125; combining that with the original whole number, you get 2.125.
If m ZABD = 83º, what are mZABC and m ZDBC?
3x+33° D
(Ex-6)°
B
mZABC = °
Answer:
∠ ABC = 48°
Step-by-step explanation:
∠ ABC + ∠ DBC = ∠ ABD , that is
6x - 6 + 3x + 8 = 83
9x + 2 = 83 ( subtract 2 from both sides )
9x = 81 ( divide both sides by 9 )
x = 9
Then
∠ ABC = 6x - 6 = 6(9) - 6 = 54 - 6 = 48°
1. the the sum of three consecutive number is 72. find the number.
Answer:
23,24,25.
Step-by-step explanation:
Consecutive numbers are numbers following in order. I found them unconventionally by first dividing 72 by 3, which is 24. So if there were 3 24s it would make 72. 23+25 is the same sum as 24+24. Then you add in the middle number, 24 and get 72.
Answer:
The answers are 23, 24, and 25
Step-by-step explanation:
Three consecutive numbers means 3 numbers in a row. So just find three numbers that all add up to 72.
23+24+25=72
5.04 x 104 =
200.8
504
5,044
50,400
none of these
Answer:
none of these
Step-by-step explanation:
5.04*100=524.16
Answer:
none of these
Step-by-step explanation:
5.04 x 104 = 524.16
there is no option with 524.16
so none of these
hiiiii please help me!!!!
Answer:
-i
Step-by-step explanation:
'i' is the square root of -1, so i^2 would be -1. so now:
[tex]i^3 = (i^2)i = (-1)i = -i[/tex]
polygons are similar find the scale factor of the smaller figure to the larger figure
Answer:
Step-by-step explanation: