Answer:
x = -2±i
Step-by-step explanation:
The area of a square poster 26 inch. 2. Find the length of one side of the poster to the nearest tenth of an inch.
Answer:
6.5 inches
Step-by-step explanation:
Divide 26 by 4
26/4=6.5
The length of one side of the poster to the nearest tenth of an inch is 5.1 inches.
What is the area of a square?The area of a square can be calculated as the square of the sides of a given figure.
The area of a square = side x side
Given; The area of a square poster 26 inch
We need to find the length of one side of the poster to the nearest tenth of an inch.
The area of a square would be S^2
26 = S^2
s = sqrt(26) = 5.099
Then rounded to nearest tenth = 5.1 inches
Hence, the length of one side of the poster to the nearest tenth of an inch is 5.1 inches.
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solve the equation 2w=58
Answer:
29
Step-by-step explanation:
all you do is divide.
1/cosec theta + cot theta -1/ sin theta=1/sin theta - 1/ cosec theta -cot
theta
Answer:
[tex]\theta =2n\pi, \;\frac{\pi}2+2n\pi \;\;\text{for all}\; n=0,1,2,...[/tex]
Step-by-step explanation:
[tex]\frac 1{\text{cosec} \theta}+\cot \theta-\frac 1{\sin \theta}=\frac 1{\sin \theta}-\frac 1{\text{cosec} \theta}-\cot \theta[/tex]
[tex]\Rightarrow \frac 2{\text{cosec} \theta}+2\cot \theta-\frac 2{\sin \theta}=0[/tex]
[tex]\Rightarrow \frac 1{\text{cosec} \theta}+\cot \theta-\frac 1{\sin \theta}=0[/tex]
[tex]\Rightarrow \sin \theta -\frac 1{\sin \theta}+\frac{\cos \theta}{\sin \theta}=0[/tex]
[tex]\Rightarrow \frac{\sin ^2\theta-1+\cos \theta}{\sin \theta}=0[/tex]
[tex]\Rightarrow \frac{-\cos ^2\theta+\cos \theta}{\sin \theta}=0\Rightarrow\frac{\cos \theta-\cos ^2\theta}{\sin \theta}=0[/tex]
[tex]\Rightarrow \cot \theta(1-\cos \theta)=0[/tex]
[tex]\text{If} \;\;1-\cos \theta=0\Rightarrow \cos \theta=1[/tex]
[tex]\Rightarrow \theta=2n\pi\;\; \text{for all}\; n=0,1,2,.....[/tex]
[tex]\text{If} \cot \theta=0\Rightarrow \frac{\cos \theta}{\sin \theta}=0\Rightarrow \cos \theta=0[/tex]
[tex]\Righarrow \theta =\frac{\pi}2+2n\pi\;\;\text{for all}\; n=0,1,2,...[/tex]
Hence, [tex]\theta =2n\pi, \;\frac{\pi}2+2n\pi \;\;\text{for all}\; n=0,1,2,...[/tex]
The current value of a baseball card is 50 times its original value v (in dollars). The baseball card is worth $62. Write and solve an equation to find the original value of the baseball card
Answer:
50v
Step-by-step explanation:
The equation would be 50v, because $62 is the original value, or v, and we are trying to find the value of the card now. Which is now 50 times the original price, $62.
Is 99 squared over 3 rational or irrational
Ok this is not a solve, more of a vocab question. Whats the term used for the number circled? Like is that called a coefficient or something??
Answer:
I believe the term is the index number
2 Truths & One Lie
- 39 - b = - 3
1. The Variable is B in this Equation
2. b = -36
3. b = 36
Which one is a Lie?
Justify your decision.
WILL GIVE 20 POINTS!!
Answer:
b = 36 is the lie.
Step by step:
If we plug in b with it equaling -36 the equation will be
-39 - (-36) which you remove the minus from the -36 and change the subtraction to addition and you get
-39 + 36 = -3
In the end b = -3
So the other one must be wrong, but just incase we will plug it in.
-36 - 36 = 0
Plugging in 36 for b results in 0 which is not correct.
3h-2(4h-5)=10-5h A-0 B-4 C-infinity many solutions D-no solutions
Answer:
Step-by-step explanation:
3h - 8h + 10 = 10 - 5h
-5h + 10 = 10 - 5h
10 = 10
infinitely many solutions
Can someone please work this out step by step for me
I assume we're solving for n.
3n/7 - 1 = 1/8.
First, add 1 to both sides.
3n/7 = 9/8
Now, let's multiply both sides by 7
3n = 63/8
Divide both sides by 3
n = 21/8
Name the property that is being demonstrated
8-2=-2+8
Commutative Property
Associative Property
Zero Product Property
Multiplication Property of -1
Deductive Reasoning Property
Answer:
Commutative propertyStep-by-step explanation:
The "Commutative Laws" say: when we add we can swap numbers over and still get the same answer.
8 - 2 = (8) + (-2) = (-2) + (8) = -2 + 8
How do you solve this kind of equation? 9(x+2) > 9(x-3)
Step-by-step explanation:
okay so that's an inequality. You solve it the same way you saw the regular equation. the only difference is that if you divide or multiply by a negative number then you have to turn the sign around.
Answer:
0>-45
True for all x
Step-by-step explanation:
[tex]9(x+2) > 9(x-3)\\\\\mathrm{Expand\:}9\left(x+2\right):\quad 9x+18\\\\\mathrm{Expand\:}9\left(x-3\right):\quad 9x-27\\9x+18>9x-27\\\\\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}\\\\9x+18-18>9x-27-18\\\\Simplify\\\\9x>9x-45\\0>-45[/tex]
Lincoln's car used 16 gallons to travel 640 miles. How far can he travel on 9 gallons?
Answer: 360 miles
Step-by-step explanation: 640/16=40. 40x9=360.
8. Tonya is cutting square frame mats to frame several square photographs. She can determine the area of the mat from the function m{x) = x2 + 6x + 9, where x is the length in inches of the side of the photograph and m(x) represents the area of the mat. Find the area of the mot given a photograph with a side length of 4.6 inches. in (DO NOT INCLUDE SPACES IN YOUR ANSWER
Answer:
57.76 in²
Step-by-step explanation:
Plug in 4.6 as x in the equation and solve:
m(x) = x² + 6x + 9
m(4.6) = (4.6)² + 6(4.6) + 9
m(4.6) = 57.76
So, the area of the mat is 57.76 in²
Solve for x: 4.23x + 1 = 17.8929 A. 0 B. 14.6629 C. 5.23 D. 6.23 PLEASE HELP!!!
Answer:
d
Step-by-step explanation:
What does (-4/5) - 7/5 equal to?
Answer:-3
Step-by-step explanation:
Answer:
-11/5
Step-by-step explanation:
-4/5 - 7/5 = (-4-7)/5 = -11/5
What is the simplified form of (4m2n−3)2⋅12n138m20?
The simplified form of the given expression [(4m²n⁻³)² × 12n¹³]/(8m²⁰) will be 24n⁷/m¹⁶ so option (D) will be correct.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given,
⇒ [(4m²n⁻³)² × 12n¹³]/(8m²⁰)
⇒ [(16m⁴n⁻⁶) × 12n¹³]/8m²⁰
⇒ 192m⁴n⁷/8m²⁰
⇒ 24n⁷/m¹⁶
Hence "The simplified form of the given expression [(4m²n⁻³)² × 12n¹³]/(8m²⁰) will be 24n⁷/m¹⁶".
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Claudia studied for 45 minutes. Crystal studied for 5 minutes. The number of minutes that Claudia studied is how many times the number of minutes that Crystal studied?
Answer:
school sucks man but you gotta do it or else you get reported to the RUSSIANS for not doing your hw so here you goo...
9
9x5=45
Which are valid rearrangements of F=95C+32? Select the two correct answers. response - incorrect 95C−F=32 F+95C+32=0 C=59(F−32) C=95(F−32) F−32=95C
Answer:
F+95C+32=0 & F−32=95C
Step-by-step explanation:
f=95c+32
Answer:
1st and the last one
Step-by-step explanation:
1. Simplify: (3x + 4y – 2z) - (-2z + 6y)
Answer: x - 2y + 2z
keep it in alphabetical order!
Step-by-step explanation:
the negative on the outside changes what is on the inside, so the new equation will be
3x + 4y - 2x + 2z - 6y
combine like terms
x - 2y + 2z
Answer: 3x +10y
Step-by-step explanation:
first you put all the common integers (i think that is what they are called) together
3x+4y+6y-2z-(-2z)
Then you add and subtract all the integers
4y+6y=10y
-2z-(-2z)=0
so the answer is
3x+ 10y
Hopefully this is the right answer
God bless you!!
What is the area of a rectangle
with a length of 5 cm and a width of
4 cm
Answer:
Area = 20 cm²
Step-by-step explanation:
Area = width * length
area = 5cm * 4cm
area = 20 cm²
Answer:
20 cm
5x4 =20
length times width
What is shrek’s ultimate life form
shrek himself is the ultimate life form
Answer:
This is Shreks ultimate form.
Step-by-step explanation:
This is Shreks ultimate form.
Work out the height of a triangle with base,
base = 6.3mm and area,
Area = 35.595mm squared.
Step-by-step explanation:
formula used is height= area×3/base
35.595×2/6.3
71.19/6.3
11.3mm2 is the answer
Answer:
[tex] \huge{ \fbox{ \sf{11.3 \: mm}}}[/tex]
Step-by-step explanation:
[tex] \underline{ \sf Given} : [/tex]
[tex] \star{ \sf{ \: Base \: of \: a \: triangle \: (b) \: = 6.3 \: mm}}[/tex]
[tex] \star{ \sf{ \: Area \: of \: a \: triangle \: (a) = 35.595 \: {mm}^{2} }}[/tex]
[tex] \star{ \sf{ \: Let \: height \: of \: a \: triangle \: be \: h}}[/tex]
[tex] \underline{ \underline{ \sf{ \: Finding \: the \: height \: of \: a \: triangle}}} : [/tex]
[tex] \boxed{ \sf{Area \: of \: a \: triangle = \frac{1}{2} * base \: * \: height}}[/tex]
[tex]\sf{Plug \: the \: values}[/tex]
[tex] \mapsto{ \sf{35.595 = \frac{1}{2} * 6.3 * h}}[/tex]
[tex] \mapsto{ \sf{35.595 = \frac{6.3h}{2} }}[/tex]
[tex] \sf{Apply \: cross \: product \: property}[/tex]
[tex] \mapsto{ \sf 6.3h = 35.595 * 2}[/tex]
[tex] \mapsto{ \sf{6.3h = 71.19}}[/tex]
[tex] \sf{Divide \: both \: sides \: by \: 6.3}[/tex]
[tex] \mapsto{ \sf{ \frac{6.3h}{6.3} = \frac{71.19}{6.3}}} [/tex]
[tex] \mapsto{ \sf{h = 11.3 \: mm}}[/tex]
The height of a triangle = 11.3 mm
Hope I helped!
Best regards! :D
~[tex] \sf{TheAnimeGirl}[/tex]
Can someone please do these questions or try to find the answers to them
Answer:if you look up the name of your work sheet into google and type in answer key after it will show up w the answer key
Step-by-step explanation:
What will be the coordinates of the upper-right vertex of
the next largest (fourth) square in the pattern?
(5,5)
(7,7)
(8,8)
(16, 16)
Answer:8,8
Step-by-step explanation:
Took the test on edge
Answer:
C. (8, 8)
Step-by-step explanation:
Edge 2022. ^
What is the answer when you Simplify 6(x + 4).
Answer:
6x + 24
Step-by-step explanation:
Distributive property: a (b + c) = ab + ac.
6 (x + 4) = 6x + 6(4) = 6x + 24.
The temperature falls 15º and then rises 18°
Answer:
3 degrees
Step-by-step explanation:
Answer:
3 more then the original number
Step-by-step explanation:
What degree does the function have?
F(x)=-2x^3+7x
Even or Odd
Answer:
The answer is Odd.
Step-by-step explanation:
I hope this helps you :)
Evaluate -R -Y for R=-2 and Y:-7
5
Step-by-step explanation:
-2 - (-7)
you have to do the opposite of the sign and switch the last number from negative to positive.
A 4-ounce container of Greek yogurt contains 160 calories. Find the unit rate of calories per ounce.
Answer:
40 did it on edge
Step-by-step explanation:
The unit rate of calories per ounce will be 40 calories/ ounce
What is proportion ?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We are given that 4-ounce container of Greek yogurt contains 160 calories and it is to calculate for one ounce calories contain in Greek yogurt :
4-ounce = 160
1- ounce = 160/4
=40
Therefore, the unit rate of calories per ounce = 40 calories/ ounce.
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For each question, draw a figure. Label the information on the figure. Write an equation that solves the
problem. Find the two answers requested. On AC, B is between A and C. For each question, find x and AB.
10. AB = 2x + 5, AC= 10x + 2. BC= 4x + 9.
11. AB = 3x, BC =x-6, AC = 8x - 14
Answer:
See attachment for the figures drawn for each question.
10. x = 3; AB = 11
11. x = 2; AB = 6
Step-by-step explanation:
10. AC = 10x + 2
AB = 2x + 5
BC = 4x + 9
AB + BC = AC (segment addition postulate)
(2x + 5) + (4x + 9) = 10x + 2 (substitution)
The equation above is what we would use to solve the problem as follows:
2x + 5 + 4x + 9 = 10x + 2
Combine like terms
6x + 14 = 10x + 2
6x - 10x = -14 + 2
-4x = -12
Divide both sides by -4
x = 3
AB = 2x + 5
Plug in the value of x
AB = 2(3) + 5 = 6 + 5
AB = 11
11. AB = 3x
BC = x - 6
AC = 8x - 14
AB + BC = AC (segment addition theorem)
3x + (x - 6) = 8x - 14 (substitution)
Use the equation to solve for x as follows:
3x + x - 6 = 8x - 14
Collect like terms
4x - 6 = 8x - 14
4x - 8x = 6 - 14
-4x = -8
x = 2 (dividing both sides by -4)
AB = 3x
AB = 3(2)
AB = 6