The square root of 74 rounded to the nearest tenth is gotten as; 8.6
How to find the Square root of a number?
We want to find the square root of 74.
This square root of 74 is expressed as;
√74
Now, the value of that square root is;
√74 = 8.6023
Now, we want to approximate to the nearest tenth and thus we will have the approximation as; 8.6
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Prove that:
\cos( \frac{3\pi}{2} + \theta) \cos(2\pi + \theta) [ \cot( \frac{3\pi}{2} - \theta) + \cot(2\pi + \theta) ] = 1
Please solve this problem because tomorrow is my...
Explanation:
On taking LHS
Cos[(3π/2)+θ]Cos(2π+θ)[Cot{(3π/2)-θ}+Cot(2π+θ)]
We know that
π = 180°
2π = 2×180° = 360°
3π/2 = (3×180°)/2 = 540°/2 = 270°
Now
LHS becomes
Cos(270°+θ)Cos(360°+θ)[Cot(270°-θ)+Cot(360°+θ)]
We know that
Cos (270°+θ) = Sin θ
Cos (360°+θ) = Cos θ
Cot (270°-θ) = Tan θ
Cot (360°+θ) = Cot θ
→ Sin θ Cos θ [Tan θ + Cot θ]
→ Sinθ Cosθ[(Sinθ/Cosθ)+(Cosθ/Sinθ)]
→ Sinθ Cosθ[(Sin²θ+Cos²θ)/(SinθCosθ)]
→ Sin θ Cos θ [1/(Sin θ Cos θ)]
Since Sin²θ+Cos²θ = 1
→ (Sin θ Cos θ)/(Sin θ Cos θ)
→ 1
→ RHS
→ LHS = RHS
Hence, Proved.
Here are the formulae that I have used:
→ π = 180°
→ Cos (270°+θ) = Sin θ
→ Cos (360°+θ) = Cos θ
→ Cot (270°-θ) = Tan θ
→ Cot (360°+θ) = Cot θ
Here are the Trigonometric Identities that I have used:
→ Sin²θ+Cos²θ = 1
Hope this helps!!
what is dividing fractions
Answer:
The simplest way I can describe dividing fractions is like multiplying fractions but upside down.
Example:
1/2 ÷ 1/3
To do this, the easiest way is to "flip" the second fraction.
It then becomes:
1/2 × 3/1
Then you just multiply across and you get a product of 3/2 or 1 1/2
Help me pls i would really appreciate it
help angels this geometry is a pain in the 4$$
Answer:
1. 4.5
2. The scale factor is 3/4
Step-by-step explanation:
how do I do this please help
Answer:
i do not know what it all says
Step-by-step explanation:
The window below has an area of 64 inches squared. What is the length of each side?
Answer:
The answer would be 8.
Step-by-step explanation:
proportional escape room puzzle two
Answer:
Step-by-step explanation:
Is there a question to it?
Find the missing angle measure.
Answer:
83
Step-by-step explanation:
Y=5x+b
how do i solve for B?
Answer:
Y=5x+b
y-5x=b
B= y-5x
hope this helps
Answer:
b = y-5x
Step-by-step explanation:
y =5x+b
Step 1- Cancelation minus or add the numeric first both side then variable numbers, then variables then exponents ^2 last.
In this case if we were asked to find x we would divide both sides by 5. But we are not asked that and instead asked to find b so we just apply and keep 5x together through add or subtraction.
For exponents we sqrt both sides. But this equation doesnt show any exponents so we stop at -5 each side.
y-5x=b
Step 2 - keep doing to isolate b we have no more to change other than reverse to show b first.
b = y-5x
Solve 4(x−5)=6x. You must SHOW EACH STEP for full credit.
Answer:
x = − 10
Step-by-step explanation:
Let's solve your equation step-by-step.
4 ( x − 5 ) = 6x
Step 1: Simplify both sides of the equation.
4 ( x − 5 ) = 6x
( 4 ) ( x ) + ( 4 ) ( − 5 ) = 6x ( Distribute )
4x + − 20 = 6x
4x − 20 = 6x
Step 2: Subtract 6x from both sides.
4x − 20 − 6x = 6x − 6x
− 2x − 20 = 0
Step 3: Add 20 to both sides.
− 2x − 20 + 20 = 0 + 20 − 2x = 20
Step 4: Divide both sides by -2.
− 2x / − 2 = 20 / − 2
x = − 10
at sunrise,the temperature outside was 5 below zero . by noon the temperature dropped 27. what was the temprature at noon
Answer:
-32
Step-by-step explanation:
hope this helps you with the question
What are the y and x-intercept in f(x)=50-2x?
Answer:
Step-by-step explanation:
6.
Find the area of a rectangle with
length 2x - 7 and width 3x +4.
Answer:
[tex]A=6x^{2} -13x-28[/tex]
Step-by-step explanation:
A=L(W)
A=2x-7(3x+4)
Use distributive property
[tex]A=6x^{2} +8x-21x-28[/tex]
Combine like terms
[tex]A=6x^{2} -13x-28[/tex]
which two ratios represent quantities that are proportional?
A. 3/5 and 13/10
B. 18/48 and 21/56
C. 20/28 and 15/18
D. 7/10 and 10/7
Answer:
B. 18/48 and 21/56
C. 20/28 and 15/18
Step-by-step explanation:
Simplifying 18/48 = 3/8
Simplifying 21/56 = 3/8
Simplifying 20/ 28= 5/7
Simplifying 15/18 = 5/7
Answer:
18/48 and 21/56
Step-by-step explanation:
plato
Is (10^-2)3 = (10^-3)2 the same?
Answer:
i think it is same let me know
Write the equation of the line that passes through the points (−3,9) and (1,−6).
Answer:
y=-3.75x-2.25
Step-by-step explanation:
Step 1: Find the slope (m) using the Slope Formula, Y2-Y1/X2-X1
(-6)-(9)/(1)-(-3) = -15/4 = -3.75
Step 2: Find the Y-intercept (b) using the Slope Intercept Formula, y=mx+b
9=-3.75*(-3)+b
9=11.25+b
b=9-11.25
b=-2.25
Step 3: Plug in your slope (m) and Y-intercept (b) values into the Slope Intercept Formula, y=mx+b
y=-3.75x-2.25
Step 4: Plug your X values into the formula, you should get your Y values after solving
y=-3.75(-3)-2.25=11.25-2.25=9 (-3, 9)
y=-3.75(1)-2.25=-3.75-2.25=-6 (1, -6)
Which fraction and decimal forms match the long division problem? 9) 8.000 7 21 80 72 80 72 8 8 A. and 0.8 9 B. 8 and 0.8 O 9 C. and 0.888 8 9 D. and 0.8 8 SUBMIT
Step-by-step explanation:
the answer is B.
yes it is
What is 10/13 in a decimal rounded to the nearest 100
Answer:
0.77
Step-by-step explanation:
10/13 as a decimal is 0.769230
0.769230 to the nearest 100 is 0.77
Hope this helps :D
y=2x+4 how would i graph that
Answer:
Start at 4, up 2, right 1
Step-by-step explanation:
Using Y=mx+b
B: begin
M: movement
Start at 4, then move up 2 and right one (because 2 = [tex]\frac{2}{1}[/tex])
Hope this helps! :)
*You can also use Desmos*
C. Directions: Copy and answer. Write in the circle the final sum of
the given number.
1.
98
2.
40
3.
123
-13
47
150
70
1180
-59
321
1-300
다.
1
5.
1326
6.
109
66
11-51
39
139
7
7433
88
77
Answer:
98
Step-by-step explanation:
10 ft 8 ft 6 ft Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate n. A = [ ? ] ft?
Answer:
l×b×h-this is the order
10×8
=80 --area 1:maximum
10×6= 60--area2: minimum area
8×6=48--area3:middle area
if you follow the order
the answer is= 60ft
Ms. Brown spent $5.25 on groceries and 75¢ on candies. What is the ratio of: a) cost of groceries to cost of candies b) cost of candies to total cost
Answer:
A.) 7:1 (which is 5.25 : 0.75 simplified)
B.) 0.75 : 6
Step-by-step explanation:
Someone pls help me I will make you brain
Bruce retiled his kitchen. Originally, he bought three boxes of tile with the same number of tiles in each. He ran out of tile and had to go back to get three extra boxes of tile. However, he only used two tiles from the last box to finish the job. Felicia also retiled her kitchen. She bought five boxes of tile, and each box contained the same number of tiles as each of Bruce’s boxes. She also ran out of tile. She had to go back to the store and get five more tiles to finish the job.Is it possible for Bruce and Felicia to have used the same number of tiles? Use complete sentences to explain your reasoning.
Answer:
Expression for the number of tiles Bruce used: 5x+2
Expression for the number of tiles Felicia used: 5x+5
Step-by-step explanation:
First want you'll want to do is translate the question into something easily understood. So for Bruce, we know that he bought three boxes with the same number of tiles in each, so 3, then he had to buy three more, another 3, but didn't finish the last box only using two, 2. So, we know he completely used the first 3 he bought then 2 of the 3 more boxes he bought.
For boxes completely used we can show it like this: 3+2=5 or 5x to represent the not known number of tiles in each box. Now we have to include the last box he bought, but he only used two tiles out of the whole box so it wouldn't be added to the same number as the other five (so not 6x).
To represent those last two tiles we can simply add +2.
Now putting it all together we get 5x+2
5x is the number of boxes multiplied by unknown number of tiles. so 5x=tiles in 5 boxes. and the 2 is those two tiles that were taken out of the last box.
For Felicia we go through the same process. We know she bought five boxes with the same number of tiles that Bruce had, 5, then bought five more individual tiles (not in a box), 5.
Not too much to do, so we know she got 5 boxes, so now we add our variable to represent the tiles in the boxes. so that 5 becomes 5x. Now with like we did with the two tiles Bruce only used, we do not add the 5 additional tiles into that number (so not 10x).
Because those were individual tiles they are simply 5.
Putting the whole thing together we get 5x+5
What is 500 miles decreased by 20%?
Answer:
400
Step-by-step explanation:
Percentage decrease = 20% × 500
New value = 500 - Percentage decrease
500 - (20% × 500) =
500 - 20% × 500 =
(1 - 20%) × 500 =
(100% - 20%) × 500 =
80% × 500 =
80 ÷ 100 × 500 =
80 × 500 ÷ 100 =
40,000 ÷ 100 =
400
Select the final coefficient (factor) and radicand after simplifying
372 +39–162 - 372
A) -9
B) 5
C) 16
D)-8
E)-4
F)6
hope it helps
#carry on learning!please actually help me
Answer:
A.) 6:51
B.)The train at 6:42
C.)34 minutes
What is the circumference of this circle?
A.
4
1
⁄
2π
B.
20
1
⁄
4π
C.
2
1
⁄
4π
D.
None of the above
E.
9π
Answer:
It is 2 π r
Step-by-step explanation:
Hope this helps you!!!1
11. Circle the name of the student who correctly wrote the equation modeled below. Then, find the
solution to the equation ?
Answer:
the student that is correct is Gene and the solution is x=10
The equation that is correctly modelled is 2 = -8 - x.
GENE equation is correct.
We have,
From the model below,
The right-hand side:
This can be written as,
1 + 1 = 2 ______(1)
And,
The left-hand side:
This can be written as,
-x + 8 x (-1)
-x - 8
or
-8 - x ______(2)
Now,
From (1) and (2),
2 = -8 - x
Thus,
The equation that is correctly modelled is 2 = -8 - x.
GENE equation is correct.
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Write 3/6/7 in an improper fraction in the lowest term
Answer:
27/7
the mixed number 3 6/7 can be written as 27/7.
The value of an improper fraction in the lowest term is,
⇒ 27/7
We have to give that,
A mixed fraction is,
⇒ 3 6/7
Now, We can change the fraction into an improper fraction as,
⇒ 3 6/7
⇒ (3×7 + 6)/7
⇒ (21 + 6)/7
⇒ 27/7
Therefore, an improper fraction in the lowest term is,
⇒ 27/7
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