Answer:
9.6666...
Step-by-step explanation:
9.6666... is an irrational number because it repeats itself and does not end.
Find the Value
A.
B.
C.
D.
Answer:
C
Step-by-step explanation:
Using the trig. identity
sin²x + cos²x = 1 ⇒ cosx = ± [tex]\sqrt{1-sin^2x}[/tex]
Here sinθ = [tex]\frac{1}{2}[/tex] , thus
cosθ = ± [tex]\sqrt{1-(\frac{1}{2})^2 }[/tex] = ± [tex]\sqrt{1-\frac{1}{4} }[/tex] = ± [tex]\sqrt{\frac{3}{4} }[/tex] = ± [tex]\frac{\sqrt{3} }{2}[/tex]
Since 0 ≤ θ > 90 then cosθ > 0 , thus
cosθ = [tex]\frac{\sqrt{3} }{2}[/tex] → C
Simplify each radical And show your work √72
√20
√42
2√12
3√75
-2√18
Answer:
[See Below]
Step-by-step explanation:
[tex]\boxed{Hey~There!}[/tex]
__________________________________________________________
[tex]\boxed{Simplify~each~radical:}[/tex]
1.) [tex]\sqrt{72}[/tex]:
Factor [tex]72[/tex] into its prime factors :[tex]72 = 23 * 32[/tex]
To simplify a square root, we extract factors which are squares, factors that are raised to an even exponent. Factors which will be extracted are:[tex]36 = 22 * 32[/tex]
Factors which will remain inside the root are:[tex]2 = 2[/tex]
To complete the simplification we take the square root of the factors which are to be extracted. We do this by dividing their exponents by [tex]2[/tex]:[tex]6 = 2 * 3[/tex]
[tex]\boxed{The~answer~is: 6\sqrt{2}}[/tex]
2.) [tex]\sqrt{20}[/tex]:
Factor [tex]20[/tex] into its prime factors :[tex]20 = 22 * 5[/tex]
To simplify a square root, we extract factors which are squares, factors that are raised to an even exponent. Factors which will be extracted are:[tex]4 = 22[/tex]
Factors which will remain inside the root are:[tex]5 = 5[/tex]
To complete the simplification we take the square root of the factors which are to be extracted. We do this by dividing their exponents by [tex]2[/tex]:[tex]2 = 2[/tex]
[tex]\boxed{The~answer~is: 2\sqrt{5}}[/tex]
3.) [tex]\sqrt{42}[/tex]:
Factor [tex]42[/tex] into its prime factors :[tex]42 = 2 * 3 * 7[/tex]
To simplify a square root, we extract factors which are squares, factors that are raised to an even exponent. In our case however, all the factors are only raised to the first power and this means that the square root can not be simplified .[tex]\boxed{The~answer~is: \sqrt{42} }[/tex]
4.) [tex]2\sqrt{12}[/tex]:
Factor [tex]12[/tex] into its prime factors :[tex]12 = 22 * 3[/tex]
To simplify a square root, we extract factors which are squares, factors that are raised to an even exponent. Factors which will be extracted are:[tex]4 = 22[/tex]
Factors which will remain inside the root are:[tex]3 = 3[/tex]
To complete the simplification we take the square root of the factors which are to be extracted. We do this by dividing their exponents by [tex]2[/tex]:[tex]2 = 2[/tex]
[tex]\boxed{The~answer~is: 4\sqrt{3} }[/tex]
5.) [tex]3\sqrt{75}[/tex]:
Factor [tex]75[/tex] into its prime factors :[tex]75 = 3 * 52[/tex]
To simplify a square root, we extract factors which are squares, factors that are raised to an even exponent. Factors which will be extracted are:[tex]25 = 52[/tex]
Factors which will remain inside the root are:[tex]3 = 3[/tex]
To complete the simplification we take the square root of the factors which are to be extracted. We do this by dividing their exponents by [tex]2[/tex]:[tex]5 = 5[/tex]
[tex]\boxed{The~answer~is: 15\sqrt{3}}[/tex]
6.) [tex]-2\sqrt{18}[/tex]:
Factor [tex]18[/tex] into its prime factors :[tex]18 = 2 * 32[/tex]
To simplify a square root, we extract factors which are squares, factors that are raised to an even exponent. Factors which will be extracted are:[tex]9 = 32[/tex]
Factors which will remain inside the root are:[tex]2 = 2[/tex]
To complete the simplification we take the square root of the factors which are to be extracted. We do this by dividing their exponents by [tex]2[/tex]:[tex]3 = 3[/tex]
[tex]\boxed{The~answer~is: 3\sqrt{5}~or~-6\sqrt{2}}[/tex]
__________________________________________________________
[tex]Hope~this~helps~Mate~\\-Your~Friendly~Answerer,~Shane[/tex] ^-^
Which expression shows 7+21 written as a product of two factors?
(A)3(1+7)
(B)3(3+7)
(C)7(3+3)
(D)7(1+3)
Expressing or writing 7+21 as a product of two factors requires the application of Distributive Property
The expression that shows 7+21 written as a product of two factors is
7(1 + 3).
To solve the above question, we apply the Distributive property.This is expressed as:a (b + c) = ab + ac
Where
a is the common factor
We are given the expression:
7 + 21
Splitting this into two factors using the distributive property
7 + 21
The common factor for 7 and 21 is 7
Hence, by factorising we have:
7 + 21 = 7(1 + 3)
Therefore, the expression that shows 7+21 written as a product of two factors is :
7(1 + 3)
The correct option is D
To learn more, visit the link below:
brainly.com/question/14424158
3.2 divided by 64 long division rounded to the nearest tenth I will give you ten points if you give me the right answer
...
Answer:
if its 64/3.2= 20 its or if its 3.2/64 its= .1
Step-by-step explanation:
Chad and his two friends are picking blueberries at a local farm. Chad picked 2 1/2 pounds of blueberries, and one of his friends picked 1 3/8 pounds. If they ended up with a total of 5 1/4 pounds, how many pounds did chad’s other friend pick? Express your answer as a mixed number.
Answer: 1 3/8
Step-by-step explanation:
helpppppppppppppp show with proof please
The equation of the graph line is 2X-3Y=12
What is the x-intercept of the graph?
A. -4
B. -3/2
C.2/3
D.6
Answer:
A. -4
Step-by-step explanation:
For solving for x intercepts analytically. You can set the the y in the equation to 0. So, 2x-3(0)=12, and solving for x will get you -4.
You can also solve graphically by plugging in the equation and looking at where it intercepts the x axis.
Theo bought 2 hot dogs and two drinks for $4.00. At the same concession stand, Vicky bought 3 hot dogs and a drink for $4.50. Write a system of equations and find what is the price of a hot dog concession stand?
Answer:
The hot dog are $2.63
Step-by-step explanation:
Hot Dogs = H
Drinks = D
2H + 2D = 4
Divide both sides by 2
H + D = 2
Subtract D from either side
H = 2 -D
3H + D = 4.50
Plug in 2 - D for H
3(2- D ) + D = 4.50
6 - 3D + D = 4.50
6 - 4D = 4.50
Add 6 to either side
-4D = 10.50
Divide either side by -4
D = -2 . 625
Please help me with this question!
Coordinates
-18 + 19½ = 1½?
37½
Step-by-step explanation:
(18 × 2) + 1½ = 37½
Help!?! Please 3 3/4 - 7/8= what!!
Answer:
2 7/8
Step-by-step explanation:
Answer:
2 7/8
Step-by-step explanation:
can you answer it. please
Answer:
5x + 10 + 55 = 90
5x = 90 -55 - 10
5x = 90 - 65
5x = 25
5x ÷ 5 = 25 ÷ 5
x = 5
Answer:
x=5
Step-by-step explanation:
If you replace the x in (5x+10)º
(5x+10)º
[5(5)+10]º
[25+10]º
= 35º
Combine the sums for angles M and R
55º+35º
=90º
Therefore, the answer is x=5.
Brainliest pls?
List the coefficients from the following expression
3x + 6 - 8x + 1
Answer:
3 and 8
Step-by-step explanation:
Coefficients are just the numbers that accompany the variables. So if you have any number, let's take 4, and put it next to an x: 4x, 4 will be your coefficient.
please helpppppppppp
Answer:
1.0
Step-by-step explanation:
You would fill in the box 1.0
To figure that out, the exponent for 10 is -9
Go to the original number and move the decimal 9 numbers to the right
You will get 1.0
after 3 hours, a bacteria colony has (25^3)^3 bacteria present. How many bacteria are in the colony
Answer:
25^9
Step-by-step explanation:
(25^3)^3 = 25^(3 * 3) = 25^9
A store pays $37 for a tv stand Store marks up the price by 20 %. What is the new price?
Answer:
$44.4.
Step-by-step explanation: To find the new price, we would simply perform "37 + 20%" yielding 44.4, or forty four dollars and 40 cents. Hope this answered your question.
Answer: 44.4
Step-by-step explanation:
To calculate the original price of a discounted or sale item, you need to know the sale price and the discount percentage. The calculations include a simple formula that divides the sale price by the result of 1 minus the discount in percentage form. Use this formula to calculate the original or list price of an item.
What is the quotient of -3/7and -1/3? -1 1/8 -1/8 1/8 1 1/8
Answer:
1 2/7
Step-by-step explanation:
Quotient means division
-3/7 ÷-1/3
Copy dot flip
-3/7 * -3/1
9/7
7/7 + 2/7
1 2/7
How many 5/16 foot pieces of wood can you cut from a board that is 1 9/16 feet long?
A. 1/5
B. 125/256
C. 5
D. 3
Answer:
c
Step-by-step explanation:
divide the two factors and the answer is five
Find the difference. -3/5 - (-5/9)
-2/45
-3/5 + 5/9
-27/45 + 25/45
-2/45
An engineering student answered 81 questions correctly on a 90-question test. What percent of the questions did she answer
incorrectly?
Answer:
90% of the question answered correct
10% were incorrect
Step-by-step explanation:
Can someone help me with this?
Answer:
(X+4,y-2)
Step-by-step explanation:
For lunch, you get tacos that cost $5.50
$
5
.
50
. You also get chips and salsa for $3.99
$
3
.
99
. What is the total cost of your lunch?
9.49$
Step-By-Step explanation:-2(2x+3)=-4(x+1) - 2
Answer:
All real numbers are solutions
Step-by-step explanation:
Let's solve your equation step-by-step.
−2(2x+3)=−4(x+1)−2
Step 1: Simplify both sides of the equation.
−2(2x+3)=−4(x+1)−2
(−2)(2x)+(−2)(3)=(−4)(x)+(−4)(1)+−2(Distribute)
−4x+−6=−4x+−4+−2
−4x−6=(−4x)+(−4+−2)(Combine Like Terms)
−4x−6=−4x+−6
−4x−6=−4x−6
Step 2: Add 4x to both sides.
−4x−6+4x=−4x−6+4x
−6=−6
Step 3: Add 6 to both sides.
−6+6=−6+6
0=0
Answer:
All real numbers are solutions.
8.91201 rounded to the nearest tenth
Need fast answers !
Answer:8 9
Step-by-step explanation:
1 is less that 5 therefore the 9 does not change its value
Answer:
8.9
Step-by-step explanation:1 is less then 5 so you round down
What’s 2/3x1 1/7x3/8 thank you
Answer:
2/7
Step-by-step explanation:
1. 2x8/7x1/8
2. 2x1/7
3. 2/7
Suppose the function f(t) = 95 cosine (StartFraction pi Over 10 EndFraction t) + 120 models the height of a seat on a Ferris wheel after t minutes.
Based on this information, what is the diameter of the Ferris wheel?
Answer: C
Step-by-step explanation:
Answer: C
Step-by-step explanation:
ye
ll and mmm are parallel to each other. whats the answer to x
Answer:
Step-by-step explanation:
Can anybody help me on number 4? Find the measure of each interior angle of the regular polygon.
Answer:
22.5 degrees
Step-by-step explanation:
there are 8 corners in that polygon and there are 180 degrees inside every polygon
so divide 180 by 8
you should get 22.5 degrees
4. 12% of 72 is what number?
+
5. What percent of 50 is 18?
+
6. 12 is 90% of what number?
Answer:
8.64,36,13.33
question no.4
12% of 72
= 12/100×72
=8.64#
question no.5
18=50×x%
18=0.5x
x=36
= 36% of 50 is 18
question no.6
12=90% of x
12= 0.9x
x= 13.33
= 12 is 90% of 13.33
Lmn is a right angle?
Answer:
no
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
3х + 12 = 15 Reason
Answer:
I can't understand it because of the way you put it.
Step-by-step explanation:
.