Answer:
The number is 72
Step-by-step explanation:
2/3*27 = 2*9 = 18
so 18 = 25%
25% = 1/4
so 1/4 = 18/?
so ? = 18*4 = 72
Answer:
x=72
Step-by-step explanation:
This is an easy equation.
2/3*27=25/100x
solve.
2/3 * 27 is 18
18=25/100x
Divide. (25/100 can be converted to 1/4
Divide 18 by 1/4x
x=72!
Cheers, I hope you can understand.
$i^{11} + i^{16} + i^{21} + i^{26} + i^{31}$[tex]$i^{11} + i^{16} + i^{21} + i^{26} + i^{31}$[/tex]
Answer:
Step-by-step explanation:
i^{11}+i^{16}+i^{21}+i^{26}+i^{31}
[tex]=(i^{2} )^5i+(i^{2} )^8 +(i^{2} )^{10} i+(i^{2} )^{13}+(i^{2} )^{15} i\\=(-1)^5 i+(-1)^8+(-1)^{10} i+(-1)^{13} +(-1)^{15} i\\=- i+1+i-1-i\\=0- i[/tex]
On each of three pieces of paper a three digit number is written two of the digits are covered . The sum is 826. What is the sum of two covered digits?
Answer:
9
Step-by-step explanation:
The diagram showing the three pieces of paper of three digit in which two of the letters were covered can be seen below.
From the diagram; we have;
243 , 1_7 , _26
Assuming the covered digits are _
The sum is 826.
i.e
243 + 1_7 + _26 = 826
The objective is to determine the sum of the two unknown digits
So; we need to think about what number can we add put in 1_7 to determine the covered digit in _26
From ; 1_7 , we have the choice to pick from 0 - 9
Assuming the covered digit is 0; let's check if we are right
So; 243 + 107 + _26 = 826
350 + _26 = 826
_26 = 826 - 350
_26 = 476
So; the covered digit is in the position of 4 , but it doesn't tally together
i.e 426 is not the same as 476, which makes our assumption to be wrong.
Let consider the covered digit to be 5 for example.
So; 243 + 157 + _26 = 826
400 + _26 = 826
_26 = 826 - 400
_26 = 426
The covered digit is in the position of 4
SO;
426 = 426
Here , our assumption is right.
As such , the covered digits are 5 and 4
The sum of the two covered digits are = 5 + 4 = 9
Answer options:
1) f(x)= -(x+5)^3 (x-2)^2
2) f(x)= (x-5) (x-510) (x+2)
3) f(x)= (x+5)^3 (x-2)^2
4) f(x)= (x-5)^2 (x+2)^3
Answer:
1) f(X) = ( X+5 )^3 ( x-2 )^2
how many 4-digit numbers can be formed using only the digits 9, 8 and 7? :p
Answer: 81
Step-by-step explanation:
First digit and Second digit and Third digit and Fourth digit
3 choices x 3 choices x 3 choices x 3 choices = 81
Factor 1
Which expression is the factored form of
x2 - 7x + 10?
+x
-X
42
-
+
0 (x+3)(x + 4)
o (x - 3)(x - 4)
(x-2)(x - 5)
(x + 2)(x + 5)
ON
-
+
+
-X
Factor
+
+
-
+
+
LY
+
+
-
+
+
Reset
Intro
ODNO
Answer:
(x - 2)(x - 5)Step-by-step explanation:
[tex]x^2 - 7x + 10=\\\\=x^2 - 5x -2x + 10=\\\\=x(x-5)-2(x-5)=\\\\=(x-5)(x-2)[/tex]
Answer:
[tex]\boxed{(x-2)(x-5)}[/tex]
Step-by-step explanation:
=> [tex]x^2-7x+10[/tex]
Using mid-term break formula
=> [tex]x^2-5x-2x+10[/tex]
=> x(x-5)-2(x-5)
Taking (x-5) as common
=> (x-2)(x-5)
Please Help! Which description best describes the solution to the following system of equations? y = −x + 4 y = 3x + 3 Line y = −x + 4 intersects the line y = 3x + 3. Lines y = −x + 4 and y = 3x + 3 intersect the x-axis. Lines y = −x + 4 and y = 3x + 3 intersect the y-axis. Line y = −x + 4 intersects the origin.
Answer:
Line y = −x + 4 intersects the line y = 3x + 3.
Step-by-step explanation:
Please Help! Which description best describes the solution to the following system of equations?
y = −x + 4
y = 3x + 3
Line y = −x + 4 intersects the line y = 3x + 3.
This is the response because the solution to a system of two equations is represented by the intersection of the equations of the two lines/curves.
Lines y = −x + 4 and y = 3x + 3 intersect the x-axis.
Lines y = −x + 4 and y = 3x + 3 intersect the y-axis.
Line y = −x + 4 intersects the origin.
Help!! Gotta finish 2 units in 4 days!!
Answer:
[tex]\large \boxed{\sf \ \ g(x)=3|x| \ \ }[/tex]
Step-by-step explanation:
Hello,
Let's follow the instructions !
Step 1
g(x)=k*f(x)=k*|x|
We know that the point (2,6) is on the graph so 6=g(2) meaning:
6=k*|2|=k*2
*** divide by 2 both sides ***
k = 6/2 = 3
Step 2
g(x)=3*|x|
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
A student accidentally added five to both the numerator and denominator of a fraction, changing the fraction's value to $\frac12$. If the original numerator was a 2, what was the original denominator
Answer:
Original denominator=9
Step-by-step explanation:
A student accidentally added five to both the numerator and denominator of a fraction, changing the fraction's value to 1/2. If the original numerator was a 2, what was the original denominator.
Original Numerator=2
The new numerator after the addition of 5 will be 2+5=7
New Numerator=7
New denominator=x
Value of the fraction=1/2
The Fraction is written in the form:
7/x=1/2
Cross product
7*2=1*x
14=x
x=14
Therefore, the new denominator (x)=14
Check:
7/14=1/2
Original denominator before 5 was accidentally added
=14-5
=9
I NEED HELP!! ASAP PLEASE!!!
Answer:
D
Step-by-step explanation:
a:angles given do not necessarily prove that ADP and BCP is 30 they can be different
c:angles given are not in triangles
b:with regards to the square I don't think you can really prove the statement
PLEASE HELP A store is having a sale on chocolate chips and walnuts. For 5 pounds of chocolate chips and 3 pounds of walnuts, the total cost is $21. For 2 pounds of
chocolate chips and 6 pounds of walnuts, the total cost is $24. Find the cost for each pound of chocolate chips and each pound of walnuts.
Answer:
Chocolate Chips cost $2.25 and Walnuts cost $3.25 per pound each
Step-by-step explanatChocion:
Let x = cost of pounds of chocolate chip cookies and y = cost of pounds of walnuts.
From the question, we get 5x+3y = 21 and 2x+6y = 24. To solve the equation, we use substitution. From the first equation, we get y = (21-5x)/3. We substitute the y into the second equation to get 2x + 6(21-5x)/3 = 24. This turns out to be 2x+(42-10x) = 24. Adding like terms you should get 42-8x = 24. Solving for x, x = $2.25 per pound. Plugging this into the first equation, we get 5(2.25)+3y = 21. Solving for y, we get $3.25 per pound of walnuts. If we plug in the numbers into the 2 equations, we will get the right total.
A certain circle can be represented by the following equation x^2+y^2+18x+14y+105=0 What is the center and radius of the circle?
Answer:
Center of the circle is (-9, -7)
Radius of the circle = 5 units
Step-by-step explanation:
Given question is incomplete: here is the complete question.
Certain circle can be represented by the following equation. x^2+y^2+18x+14y+105=0.
What is the center of this circle ?
What is the radius of this circle ?
Since equation of the circle has been given by the equation,
x² + y² + 18x + 14y + 105 = 0
Now we will convert this equation to the standard form of the circle.
x² + 18x + y² + 14y = -105
[x² + 2(9)x] + [y² + 2(7)x] = -105
[x² + 2(9)x + 9²] + [y² + 2(7)y + 7²] = 9² + 7² - 105
(x + 9)² + (y + 7)² = 81 + 49 - 105
(x + 9)² + (y + 7)² = 25
(x + 9)² + (y + 7)² = 5²
By comparing this equation with the standard equation of the circle → (x - h)² + (y - k)² = r²
which of the following shapes is the base of a cylinder? A, triangle, B.pentagon, C,square, D, circle
Answer:
idk but i think the answer is d
Answer:
The answer is D. Circle
Step-by-step explanation:
The bottom of a cylinder is a circle.
Complete the proof of the Law of Sines/Cosines.
Given triangle ABC with altitude segment AD labeled x. Angles ADB and CDB are _____1._____ by the definition of altitudes, making triangle ABD and triangle BCD right triangles. Using the trigonometric ratios sine of B equals x over c and sine of C equals x over b. Multiplying to isolate x in both equations gives x = _____2._____ and x = b ⋅ sinC. We also know that x = x by the reflexive property. By the substitution property, _____3._____. Dividing each side of the equation by bc gives: sine of B over b equals sine of C over c.
Answer choices:
1. altitudes
2. b ⋅ sinB
3. b ⋅ sinB = c ⋅ sinC
1. right angles
2. b ⋅ sinB
3. b ⋅ sinB =c ⋅ sinB
1. altitudes
2. c ⋅ sinB
3. c ⋅ sinB = b ⋅ sinC
1. right angles
2. c ⋅ sinB
3. c ⋅ sinB = b ⋅ sinC
Corrected Question:
Complete the proof of the Law of Sines/Cosines.
Given triangle ABC with altitude segment AD labeled x. Angles ADB and CDA are _____1._____ by the definition of altitudes, making triangle ABD and triangle ACD right triangles. Using the trigonometric ratios sine of B equals x over c and sine of C equals x over b. Multiplying to isolate x in both equations gives x = _____2._____ and x = b ⋅ sinC. We also know that x = x by the reflexive property. By the substitution property, _____3._____. Dividing each side of the equation by bc gives: sine of B over b equals sine of C over c.
Answer:
(1) right angles
(2) c sin B
(3) c sin B = b sin C
Step-by-step explanation:
As shown in the diagram attached to this response,
(i) the given triangle is ABC with altitude segment AD labeled as x,
(ii) side AB is labeled as c, side AC is labeled as b, and
(iii) angles ADB and CDA are right angles by definition of altitudes.
(iv) Therefore, triangle ABD and CDA are right-angled triangles.
(v) Now, using trigonometric ratios, sine of B equals x over c. i.e
sin B = [tex]\frac{x}{c}[/tex] --------(i)
(vi) Also, sine of C equals x over b. i.e
sin C = [tex]\frac{x}{b}[/tex] ------------(ii)
(vii) Multiplying to isolate x in both equations gives;
x = c sin B [from equation (i)] ------------(iii)
x = b sin C [from equation (ii)] -----------(iv)
(viii) We know that x = x by the reflective property. i.e x in equation (iii) is equal to x in equation (iv). By substitution property, this becomes,
c sin B = b sin C -----------------(v)
(ix) Dividing each side of the equation in equation (v) by bc gives: sine of B over b equals sine of C over c i.e
[tex]\frac{csinB}{bc} = \frac{bsinC}{bc}[/tex]
[tex]\frac{sinB}{b} = \frac{sinC}{c}[/tex] [This is the sine rule]
Find the area of the triangle
Answer:
[tex]Area = 24.8 cm^2[/tex]
Step-by-step explanation:
Given
[tex]PQ = 4.9cm[/tex]
[tex]RQ = 11 cm[/tex]
[tex]<Q = 113\ degrees[/tex]
Required
Find the area of the triangle
When presented with a triangle where two sides are known and an angle between the two sides; The area is solved as follows;
[tex]Area = \frac{1}{2}ABSinC[/tex]
Where A and B are the two known sides and C is the angle between A and B
Having said that;
The area of the triangle is calculated as thus;
[tex]Area = \frac{1}{2} * RQ * PQ * SinQ[/tex]
[tex]Area = \frac{1}{2} * 11 * 4.9 * Sin113[/tex]
[tex]Sin113 = 0.9205[/tex]
Hence, the equation becomes
[tex]Area = \frac{1}{2} * 11 * 4.9 * 0.9205[/tex]
[tex]Area = \frac{11 * 4.9 * 0.9205}{2}[/tex]
[tex]Area = \frac{49.6152}{2}[/tex]
[tex]Area = 24.8076[/tex]
[tex]Area = 24.8 cm^2[/tex] --- Approximated
Please help me with this question... I can't seem to understand
Answer:
d is 83.2 metersStep-by-step explanation:
To calculate the horizontal distance d we use cosine
cos ∅ = adjacent / hypotenuse
From the question
d is the adjacent
the hypotenuse is 145m
So we have
cos 55 = d / 145
d = 145 cos 55
d = 83.16
d is 83.2 meters to 3 significant figures
Hope this helps you
Find the area of the triangle. Round the answer to the nearest tenth. Triangle is SSA. a= 3.7 b= 3.7 β= 70° ----- A.4.4 square units B.5.2 square units C.6.8 square units D.8.8 square units
Answer:
A. 4.40 square units
Step-by-step explanation:
The triangle is isosceles with base angles of 70°. The a.pex angle will be ...
180° -2(70°) = 40°
The area of a triangle can be computed from two sides and the angle between them as ...
A = (1/2)ab·sin(γ)
A = (1/2)(3.7)(3.7)sin(40°) ≈ 4.40 . . . square units
need HELP ON THIS A S AP !!!!!
Answer:
803.84yd²
Step-by-step explanation:
Surface Area of A Sphere: [tex]A=4\pi r^2[/tex]
We are given the radius of 8 yards.
Using 3.14 for pi:
[tex]A=4*3.14*8^2\\\\A=4*3.14*64\\\\A=12.56*64\\\\\boxed{A=803.84}[/tex]
The correct answer should be 803.84yd².
Brainilest Appreciated.
Answer:
803.84 yd^2
Step-by-step explanation:
4*3.14*8^2
12.56*64
803.84
brainliest pls
hope i helped
-ZYLYNN
Driving on the highway, you can safely drive 60 miles per hour. "How far can you drive in ‘h' hours?" What is the range of the function which defines this situation? A. 60 B.The number of hours you drive C.The amount of gas you use D.The distance you drive
Answer:
D.The distance you drive
Step-by-step explanation:
If you describe this situation as function, then it will look as:
f(h)= 60hFor h=1 you have f(1)= 60 milesFor h=2 you have f(2)= 120 miles etc.The range of the function is the set of output values
In this case the range is the distance you drive
Correct option is D.
Answer:
The distance you drive
Step-by-step explanation:
i just took the test
i will mark brainlist
Answer:
[tex]\boxed{x = 30}[/tex]
Step-by-step explanation:
x + 2x + 3x = 180 (Interior angles of a triangle add up to 180 degrees)
=> 6x = 180
Dividing both sides by 6
=> x = 180 / 6
=> x = 30
Answer:
x= 30
Step-by-step explanation:
3x + 2x + x = 180
6x= 180
x = 180/6
:• x = 30
Which is the best estimate for the percent equivalent of 7 Over 15
Approximate what the value of [tex]7/15[/tex] is by using calculator.
[tex]7/15\approx0.47[/tex].
And now just multiply by 100 to get percentage.
[tex]100\cdot0.47=\boxed{47\%}[/tex].
Hope this helps.
Answer:
24%
Step-by-step explanation:
7\15 x 100
simplify and get=140\3
dived140\3=48\2
simplify 48\2=24%
3. Daniel is a very good television salesperson. His annual sales average at $187,400. His
commission on sales is 30% and his annual base salary is $40,000. On average what is his
annual gross income?
Answer:
$96,220
Step-by-step explanation:
Daniel is a very good sales person
His annual sales average is $187,400
His commission on sales is 30%
= 30/100
= 0.3
His annual base salary is $40,000
Therefore, Daniel's annual gross income can be calculated as follows
Annual gross income= Annual base salary + Commission on sales
= $40,000 + (30/100 × $187,400)
= $40,000 + 0.3×$187,400
= $40,000+$56,220
= $96,220
Hence Daniel's annual gross income is $96,220
a rectangles width is 6 feet less than its length. if the area of the rectangle is 247 square feet what is its length in feet
Answer:
The answer is
19 feetStep-by-step explanation:
Area of a rectangle = length × width
let w be the width and l be the length
Area of rectangle = 247 ft²
width is 6 feet less than its length is
w = l - 6
247 = l( 1 - 6)
l² - 6l - 247 = 0
(l + 13) (l - 19) = 0
l + 13 = 0 l - 19 = 0
l = - 13 l = 19
Since the length should be positive
The length of the rectangle is
19 feetHope this helps you
Answer:
Length of the rectangle, L = 19 ft
Step-by-step explanation:
Area of a rectangle = Length * Width
Area of the rectangle, A = 247 ft²
Let the length of the rectangle be L
The width of the rectangle = W
Since the width of the rectangle is 6 ft less that the length;
W = L - 6
A = L * W
247 = L * (L - 6)
247 = L² - 6L
L² - 6L - 247 = 0
By solving the quadratic equation above:
(L - 19)(L + 13) = 0
L - 19 = 0, L = 19
L + 13 = 0; L = -13
Since the length of a rectangle cannot be negative, L = 19 ft
4 added to the difference of 3 minus 3
Answer: 4
Step-by-step explanation:
This problem can be represented as:
4+(3-3)
Parenthesis
4+(0)
Add
4
Hope it helps <3
Answer:
The equation wold simply be d+1 simplified and d-3+4 if not im not sure if this is what ur asking?
Step-by-step explanation:
How many sides does a convex polygon have with the given sum for its interior angles. If not possible, answer with the
number zero in the box.
2205°
The main triangular sail on a sailboat is 25 feet tall and 10 feet wide at the bottom. If the sides of another sail are proportional to the main sail, and the bottom of this sail is 8 feet wide, how tall is it?
Answer:
20 feetStep-by-step explanation:
Here,,
Sides of two sail are proportional.
Let the height be 'x'
Now,
[tex] \frac{a1}{b1} = \frac{a2}{b2} [/tex]
plug the values
[tex] \frac{25}{10} = \frac{x}{8} [/tex]
Apply cross product property
[tex]10x = 25 \times 8[/tex]
Multiply the numbers
[tex]10x = 200[/tex]
Divide both sides of the equation by 10
[tex] \frac{10x}{10} = \frac{200}{10} [/tex]
Calculate
[tex]x = 20 \: ft[/tex]
Hope this helps...
Best regards!!
Answer:
20
Step-by-step explanation:
PLZ HELP ASAP!!! I SHALL DUB THEE BRAINLIEST!! ^﹏^ I have two links attached. Plz answer all. I AM TIMED PLZ HELP!!! ASSSSSAAAAAPPPPP
Answer:
15 ,90 30 45.90,23,23,45,
0
,12,3,
Step-by-step explanation:
Step-by-step explanation:
1 is 9 ² - 1 + 3x
the rest are really blury
use a calculator
hope this helps
i would appreciate it if u can heart and like my answer and maybe even give it 5 stars or brainliest pls i beg u thx !!! : )
∫1/(1+sinx^2 +2cos^2x)
Answer:
Im not sure, is this correct?
consider a residential area. the annual water usage in the area increases at the rate of 5% every year. this year the town used 31,000 mL of water. How much water will be used annually in 20 years?
Answer:
Consumption in the 20th year = 82252 (nearest unit)
Step-by-step explanation:
Exponential growth problem.
Current consumption (year 0), P = 31000
growth rate, r = 5%
consumption in nth year
P(n) = P(1+r)^n
for the 20th year,
P(20) = P((1+r)^20) = 31000*1.05^20 = 82252.2 m^3
(note: annual water consumption in a town is likely to be measured by m^3, please double check)
The required volume of water will be used at 82253 liters.
The annual water usage rate increase 5% annually with current usage is 31000 liters. After 20 years what will be the volume usage? To determine.
The function which is in format f(x) =a^x where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
Here, the rate of volume of water usage increases exponentially by 5%, current usage = 31000. So Usage for the 20th year,
= 31000(1+5%)^20
=31000(1.05)^20
= 82253 liters
Thus, The required volume of water will be used at 82253 liters.
learn more about exponential function here:
brainly.com/question/15352175
#SPJ2
(x+1)(x-2)=0
Solve the quadratic equation using factoring
Answer:
x= -1 or x= 2
Step-by-step explanation:
(x+1)(x-2) = 0x+1 = 0 or x-2=0 x = -1 or x = 2Which describes the intersection of plane A and line m?
It seems like information is missing. If so, then please update.
When intersecting a plane and a line, there are two possibilities:
The line only goes through one point on the planeThe line is completely contained inside the plane (ie every point is in the plane)