Answer:
0.56 inches from the vertex of the canvas
Step-by-step explanation:
Golden ratio can be interpreted as
B / A = ( A + B ) / B ----- ( 1 )
A = smaller side = 12 inches
B = larger side = 16 inches
Back to equation 1
16 / 12 = ( 16 + 12 ) / 16
4 / 3 ≠ 7 / 4
The Golden ratio can not be applied because the rule is not obeyed
The focal point can be determined as :
( longest width / 2 )= 12 / 2 = 6^ 2 = 36 ---- 2
(4* depth) = 16 * 4 = 64 ---- 3
hence the focal point ( 2 / 3 ) = 36 / 64 = 0.56 inches from the vertex of the canvas
In ΔHIJ, h = 3.7 cm, i = 5.4 cm and j=3.8 cm. Find the measure of ∠H to the nearest degree.
Answer:
43
Step-by-step explanation:
deltamath
Answer:43
Step-by-step explanation:
Find X .Round your answer to the nearest tenth of a degree.
Answer:
Step-by-step explanation:
With reference angle x
perpendicular (p) = 11
hypotenuse (h) = 18
Now
sin x = p / h
sin x = 11 / 18
x = sin ^-1( 11/ 18)
x = 37.66
x = 37.7
Awnser: 37.7
Sin: Oppostie/Hypotonuse
11/18=sin(x)
sin^-1(11/18)= 37.6698...
(i) Factorise the expression x^3 + 3x - x^2 - 3 completely.
(ii) Hence, express (x^2 – 3)^3 - (2 - x^2)^2 + 3(x^2- 3) in the form (x^4+Ax^2+B)(x^2+ C), where A, B and C are integers.
Step-by-step explanation:
Answer 1 put all like terms then solve
hope it helps....
a) The value of the equation is A = ( x - 1 ) ( x² + 3 )
b) The value of the equation is B = ( x⁴ - 6x² + 10 ) ( x² - 4 )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
a)
The equation is A = x³ + 3x - x² - 3
On simplifying the equation , we get
A = x³ - x² + 3x - 3
A = x² ( x - 1 ) + 3 ( x - 1 )
On factorizing the equation , we get
A = ( x² + 3 ) ( x - 1 )
b)
The equation is B = ( x² - 3 )³ - ( 2 - x² )² + 3 ( x² - 3 )
On simplifying the equation , we get
B = ( x² - 3 )³ - ( x⁴ - 2x² - 2x² + 4 ) + 3 ( x² - 3 )
On further simplification , we get
B = ( x² - 3 )³ - x⁴ + 4x² - 4 + 3x² - 9
B = ( x² - 3 )³ - x⁴ + 7x² - 13
On factorizing the equation , we get
B = ( x - 2 ) ( x⁵ + 2x⁴ - 6x³ - 12x² + 10x + 20 )
B = ( x - 2 ) ( x + 2 ) ( x⁴ - 6x² + 10 )
And , on further simplification , we get
B = ( x² - 4 ) ( x⁴ - 6x² + 10 )
Hence , the equation is B = ( x² - 4 ) ( x⁴ - 6x² + 10 )
To learn more about equations click :
https://brainly.com/question/19297665
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help pls i need help
Answer:
The second and third one
Step-by-step explanation:
According to the statement, numbers between 4 and 5 is 4.1 - 4.9
But it is doubled so it is 8.2 - 9.8
These numbers are greater than 8 and less than 9
These numbers are also greater than 9 and less than 10
how many times can 10 go into 111? lol i need help
Answer:
11.1 times
Step-by-step explanation:
Answer:
11 times
Step-by-step explanation:
10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110
Solve and show work.
Find the volume of a right circular cone that has a height of 3.2 m and a base with a
radius of 14.1 m. Round your answer to the nearest tenth of a cubic meter.
Answer:
what's the question i need more info
Given sinx=1/3, cosy=3/4, and both x and y are in quadrant iv, find cos(x-y) and sin(x+y)
Answer: [tex]\dfrac{6\sqrt{2}+\sqrt{7}}{12},\ \dfrac{-3-2\sqrt{14}}{12}[/tex]
Step-by-step explanation:
Given
x and y is in the fourth quadrant
[tex]\sin x=-\dfrac{1}{3}\\\\\cos y=\dfrac{3}{4}[/tex]
we know,
[tex]\cos (x-y)=\cos x\cos y+\sin x\sin y\\\sin (x+y)=\sin x\cos y+\cos x\sin y[/tex]
using [tex]\sin ^2\theta +\cos^2 \theta =1[/tex]
[tex]\Rightarrow \cos x=\dfrac{2\sqrt{2}}{3}\\\\\Rightarrow \sin y=-\dfrac{\sqrt{7}}{4}[/tex]
[tex]\Rightarrow \cos(x-y)=(\dfrac{2\sqrt{2}}{3})\times (\dfrac{3}{4})+(-\dfrac{1}{3})\times (-\dfrac{\sqrt{7}}{4})=\dfrac{6\sqrt{2}+\sqrt{7}}{12}\\\\\\\Rightarrow \sin (x+y)=(-\dfrac{1}{3})\times \dfrac{3}{4}+\dfrac{2\sqrt{2}}{3}\times (\dfrac{-\sqrt{7}}{4})=\dfrac{-3-2\sqrt{14}}{12}[/tex]
can somebody please help, I want to say it's be, but I also think it might be D
Step-by-step explanation:
I think it's option B is the correct answer of this question.
Please Solve
The equation below
Answer:
4h+3
Step-by-step explanation:
3h+h+3
4h+3
RHOMBUS The diagonals of rhombus ABCD intersect at E. Given that
mZBAC = 53° and DE = 8, find the indicated measure.
B
А.
53°
mZAED
m2 DAC
m ZADC
AE
DB
8
E
с
AC
D
11. Name the four isosceles triangles in rhombus ABCD.
12. Name three properties of AC and BD.
Answer:
Question 11:
[tex]\angle DAC = 53^\circ[/tex]
[tex]\angle AED = 90^\circ[/tex]
[tex]\angle ADC = 74[/tex]
[tex]DB = 16[/tex]
[tex]AE = 6.03[/tex]
[tex]AC = 12.06[/tex]
Question 12:
[tex]\triangle ABD[/tex], [tex]\triangle BAC[/tex], [tex]\triangle CDA[/tex] and [tex]\triangle DAB[/tex]
Question 13:
AC and BD are perpendicular lines, and they are diagonals
Step-by-step explanation:
Question 11
Given
[tex]\angle BAC = 53^\circ[/tex]
[tex]DE = 8[/tex]
See attachment for Rhombus
Required
Determine the indicated sides
Solving (a): [tex]\angle DAC[/tex]
Diagonal CA divides [tex]\angle DAB[/tex] into 2 equal angles
i.e
[tex]\angle DAC = \angle BAC[/tex]
So:
[tex]\angle DAC = 53^\circ[/tex]
Solving (b): [tex]\angle AED[/tex]
The angles at E is 90 degrees because diagonals AC and BD meet at a perpendicular.
So:
[tex]\angle AED = 90^\circ[/tex]
Solving (c): [tex]\angle ADC[/tex]
First, we calculate [tex]\angle ADE[/tex], considering [tex]\triangle ADE[/tex]:
[tex]\angle ADE + \angle AED + \angle DAC = 180[/tex]
[tex]\angle ADE + 90 + 53 = 180[/tex]
[tex]\angle ADE + 143 = 180[/tex]
[tex]\angle ADE = -143 + 180[/tex]
[tex]\angle ADE = 37[/tex]
To calculate [tex]\angle ADC[/tex], we have:
[tex]\angle ADC = 2*\angle ADE[/tex]
[tex]\angle ADC = 2* 37[/tex]
[tex]\angle ADC = 74[/tex]
Solving (d): [tex]DB[/tex]
From the rhombus
[tex]DB = DE +EB[/tex]
Where
[tex]DE =EB[/tex]
So:
[tex]DB = 8 + 8[/tex]
[tex]DB = 16[/tex]
Solving (e): [tex]AE[/tex]
To do this we consider [tex]\triangle ADE[/tex]
Using the tan formula
[tex]tan(\angle ADE) = \frac{AE}{DE}[/tex]
[tex]\angle ADE = 37[/tex] and [tex]DE = 8[/tex]
So:
[tex]\tan(37) = \frac{AE}{8}[/tex]
[tex]AE = 8 * \tan(37)[/tex]
[tex]AE = 6.03[/tex]
Solving (f): [tex]AC[/tex]
This is calculated as:
[tex]AC = AE + EC[/tex]
Where
[tex]AE = EC[/tex]
[tex]AC = 6.03 +6.03[/tex]
[tex]AC = 12.06[/tex]
Question 12: Isosceles Triangle
In the rhombus, all 4 sides are equal;
So, the isosceles triangle are:
[tex]\triangle ABD[/tex], [tex]\triangle BAC[/tex], [tex]\triangle CDA[/tex] and [tex]\triangle DAB[/tex]
Question 13:
AC and BD are perpendicular lines, and they are diagonals
HURRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYR
Answer:
You're answer is c 55/6.
Answer:
C. 55/6
Step-by-step explanation:
It’s 11/3 + 11/2. To get the same denominator multiple the top and bottom of the left fraction by 2 and the top and bottom of the right fraction by 3. Then you get 22/6 + 33/6 which is 55/6
i need help! find the area of the composite figure. if anyone can help i will really appreciate it. thanks! :)
Answer:
area = 120.7 cm²
Step-by-step explanation:
net area = area of rectangle - area of semi-circle
area = (19 x 7.5) - 1/2(3.14)(4.5²)
area = 152.5 - 31.8 = 120.7 cm²
what are the inverse operations for addition and multiplication?
Answer:
Operations Inverse operations
Addition Subtraction
Subtraction Addition
Multiplication Division
Division Multiplication
Step-by-step explanation:
i hope this will help you
Jorge is making 6 large salads and 4 small salads. How many cherry tomatoes does he need?
Answer:
we need an amount of cherry tomatoes per each salad so we can answer.
Step-by-step explanation:
Just name the amount of tomatoes there are in each salad.
Answer:the large one needs 10 and the small one needs 6 so if you get this right can you pick me as the brainliest
Step-by-step explanation:
We know that Jorge is making 6 large salads and 4 small salads. Each large salad needs 10 cherry tomatoes and each small salad needs 6 cherry tomatoes. 6 large salads need 10 cherry tomatoes
Which of the following is equivalent to the addition problem below?
46.61 + 51.52
A.
(40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02)
B.
(40 + 50) + (6 + 5) + (0.6 + 0.1) + (0.01 + 0.02)
C.
(40 + 10) + (6 + 5) + (0.6 + 0.5) + (0.01 + 0.02)
D.
(40 + 50) + (6 + 1) + (0.6 + 0.1) + (0.05 + 0.02)
Answer:
A) (40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02)
Step-by-step explanation:
In this case, you are breaking each term down to it's non-zero digits, and adding them:
46.61 = 40 + 6 + 0.6 + 0.01
51.52 = 50 + 1 + 0.5 + 0.02
Note however, that the answer choices add each individual non-zero terms together:
(40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02), or A)
A) (40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02) is your answer.
~
Quick! Please help...... this needs to be 20 letters
Step-by-step explanation:
there you go that is the answer
Solve the unit rate
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
See the thing on the left?
▢ unknown
- = -
▢ 1
Fraction lines that look like minus signs, missing units, poor formatting—it’s ridiculously unclear!
::::;
Julius’s walking rate is
(12 miles)/(3 hours) = (4 miles)/(1 hour)
time walked in 1 hour = 1 hour × (4 miles)/(1 hour) = 4 miles
time walked in 2.5 hours = 2.5 hours × (4 miles)/(1 hour) = 10 miles
time walked in 13 hours = 13 hours × (4 miles)/(1 hour) = 52 miles
time required to walk 27 miles = 27 miles × (1 hour)/(4 miles) = 6.75 hours
time required to walk 106 miles = 106 miles × (1 hour)/(4 miles) = 26.5 hours
Martin is making bracelets with yarn and has 4 yards of yarn. Each bracelet takes (1/6) of a yard of yarn. How many bracelets can he make?
Answer:
24
Step-by-step explanation:
if he splits 1 yard into 6 pcs for 6 bracelets 4 times, thats 24 pieces of yarn that are 1/6 of a yard long meaning he can make 24 bracelets
A TV station executive is planning the new lineup for next season's shows. On Monday nights, there will be 6 sitcoms and 6 dramas, for a total of 372 minutes of programming, not counting commercials. On Tuesday nights, he has scheduled 2 sitcoms and 6 dramas, for a total of 288 minutes of non-commercial programming. All sitcoms have the same length and all dramas have the same length. How long is each type of show?
Answer:
x = length of sitcoms = 21 minutes
y = length of dramas = 42 minutes
Step-by-step explanation:
Let
x = length of sitcoms
y = length of dramas
6x + 6y = 372 (1)
2x + 6y = 288 (2)
Subtract (2) from (1) to eliminate y
6x - 2x = 372 - 288
4x = 84
x = 84/4
x = 21
Substitute x = 21 into (1)
6x + 6y = 372
6(21) + 6y = 372
126 + 6y = 372
6y = 372 - 126
6y = 246
y = 246/6
y = 41
x = length of sitcoms = 21 minutes
y = length of dramas = 42 minutes
The measure of Juan's angle is modeled by 2x2+6x−5. The measure of Sally's angle is modeled by 8x+31. Which polynomial expression represents how much greater the measure of Juan's angle is than Sally's?
a.) 2x2−2x−362 x squared minus 2 x minus 36
b.) 2x2−2x−262 x squared minus 2 x minus 26
c.) 2x2+2x+362 x squared plus 2 x plus 36
d.) 2x2+14x+26
Answer: 2x^2-2x-36 is the correct answer
Step-by-step explanation: Add 8x+31 and 2x^2-2x-36 and you will get 2x^2+6x-5. (i took the test and got it correct)
A triangle is shown.
What is the measure of angle x?
please help i’ll give brainliest if you help thanks
Answer:
pretty sure its 4b!
Step-by-step explanation:
Answer:
4b
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!! HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
rectangular prism
Step-by-step explanation:
The sides fold up into a rectangular shaped box, or a prism. Hope this helps!
Find the area of the circle below to the nearest tenth.
25 ya
Blank 1:
Answer:
490.9 yards squared.
Step-by-step explanation:
you would use the formula for area of a circle r^2 x pi
the diameter is 25, so the radius is 1/2 of that or 12.5
12.5^2 x pi = 490.9
4,400,000 in scientific notation.
Answer:
4.4 * [tex]10^{6}[/tex]
Step-by-step explanation:
Answer:
4.4 x 10^6
Step-by-step explanation:
The decimal in scientific notation needs to be less than 10, so in this case the decimal has to be 4.4.
After you place the decimal you should have, 4.400000.
Count how much decimal spaces you have to jump in order to get to the end of the number overall, in this case, it is 6 to the 10th power.
So the answer would be, 4.4 x 10^6
No clue what I am doing
Answer:
1. 1=18°, 2=90°
2. 1=85°
3. 1=97°
4. 2=83°
5. 3=49°
6. 1=94°
7. 4=45°
8. 3=65°
9. 2=79°
10. 5=73°
11. 6=147°
12. 1=26°
13. 2=32°
Step-by-step explanation:
1. all angles of a triangle equal 180. 2 is 90 degrees because you can look across to find the symbol. Then you subtract 180 by 72 and 90 to get 18.
2. do the same thing as last time, 180 minus 40 and 55.
3. In order to figure this out, you need to have the angle 2. One you have 83, angles like this, together will add up to 360 if you put 2 of them together. 83×2=166. 360-166=194. 194/2=97.
4. To figure this out, you find the angle across from it because those are always the same. Follow the same process to subtract 39 and 58 from 180 to get 83.
5.Now that you have the angle 2 you can figure this one out as well, again, follow the process of subtracting the two opposite angles from 180 to get 49.
(This is taking really long to explain so if you have questions just ask.)
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
33.51
Step-by-step explanation:
V=4 3πr3=4 3·π·23≈33.51032
4. If y = 5x – 3 and 3x - y = -1, what is the value of y?
A 2
B -1
C 7
D -8
answers:
4.C po
Step-by-step explanation:
i hope its help
Karen is working on her math homework. She solves the equation b/7
= 35 and says that the solution is b = 5. Do you agree or disagree with Karen?
Answer:
disagree
Step-by-step explanation:
subtituting b with 5 we get 5/7=35. they are not equal do karen is not correct.
Answer:
No
Step-by-step explanation:
If the equation was 7b=35 then yes Karen would be correct. However the equation is b/7=35 which would get you b = 245