Express 0.2 degrees without decimals
Need help please! what is the total length of a 20 mm steel coiled like a spring with a 16 turns and an outer diameter of 600 mm. pitch is 300 mm. Show your solution please coz i don't really know how to do it! thanks
Answer:
L = 29,550 mm
Step-by-step explanation:
i think i've done this before.. but anyway Lets make it simple and easy.
Let A = 600mm
Let B = 300mm
Let C = 16 as number turns
Let d = 20mm
L = sqrt ((3.14 * (600 - 20))² + 300³) * 16
L = 29,550 mm
find the indicated side of the right triangle. 45 degrees, 45 degrees, 6, y, x, x = ?
3√2 and 3 are the values of x and y respectively from the figure.
Trigonometry identitiesThe given diagram is a right triangle with an acute angle of 45 degrees
We need to determine the values of variables x and y.
Applying the trigonometry identity, we will have:
sin 45 = opposite/hypotenuse
sin45 = 3/x
x = 3/sin45
x = 3/(1/√2)
x = 3√2
Similarly:
tan 45 = opposite/adjacent
tan 45 = 3/y
1 = 3/y
y = 3
Hence the values of x and y from the figure is 3√2 and 3 respectively
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Solve for x:
18x + 3x + 4 - 5 = 5(4x – 9
If I had 1 banana then I ate that banana how many of the banana would I have hint the peal First person gets brainliest
Answer:
the peel
Step-by-step explanation:
divide the monomial by the given monomial. (by give process)
24x^3 ÷ 14x^2
Step-by-step explanation:
24x³ ÷ 14x²
= 2 × 2 × 2 × 3 × x × x × x / 7 × 2 × x × x
= (2 × x × x) ( 2 × 2 × 3 × x) / (2 × x × x) x 7
= 12x / 7
There were 20 questions on the last quiz in Mrs. Lorenzo's class. A student answered 17 questions correctly. Write the ratio of correct answers to total questions as a decimal
Answer:
The answer would be 1.17.
Step-by-step explanation:
Can y’all help me on question 31?!
Answer:
D
Step-by-step explanation:
Area of 1 surface=1×16=16 square units
hence, 16×6=96 square units
What is the area of the shaded region?
Answer:
65
Step-by-step explanation:
( (23 * 13) / 2 ) - ( (13 * 13) / 2 ) = ( 299 / 2 ) - ( 169 / 2 ) = 149.5 - 84.5 = 65
Numbers are slightly unclear but I think this is right.
Explain to me in words how you would find the slope of this line
Answer:
Step-by-step explanation:
go from one point to the other. From the left point to the right point you are running across (to the right) three times. Then you are ¨rising¨ (going down) once. going to the right is positive. If you are going down its negative. Vise versa. The formula is Rise/Run. your answer would be -1/3. the one is negative because it went down.Then divide it and you have -0.333. I hope I helped!
Which theorem shows that △ ABC ≅ △ def?
By the SSS Congruence Theorem, △ABC ≅ △DEF.
What does a math congruent mean?
Congruent refers to having precisely the same form and size. Even after the forms have been flipped, turned, or rotated, the shape and size ought to remain constant.
What is the SSS rule?
According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle.
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A parachutist's elevation changes by - 77 ft in 7 seconds. What is the change in the parachutist's elevation each second?What is the change in the parachutists elevation changes feet each second.
Answer:
-11 feet per second
Step-by-step explanation:
Answer:
Step-by-step explanation:
I Honestly don't know i'm only on here to get answers.
linda Put $610 in a savings account that pays 1.2% interest each year. Enrique puts $590 in a high-yield account that pays 3.9% interest each year.
PART A: After one year who has more money? How much more?
PART B: After a second year who has more money? How much more?
PART A: Linda has $4.41 more than Enrique after one year.
PART B: Enrique has $12.10 more than Linda after the second year.
PART A: After one year, we can calculate the amount of money each person has in their respective accounts.
For Linda's account:
Principal amount = $610
Interest rate = 1.2%
\(Interest $ earned = Principal $ amount \times (Interest rate/100) = $610 \times (1.2/100) = $7.32\)
\(Total $ amount after one year = Principal amount + Interest earned = $610 + $7.32 = $617.32\)
For Enrique's account:
Principal amount = $590
Interest rate = 3.9%
\(Interest $ earned = Principal amount \times (Interest rate/100) = $590 \times (3.9/100) = $22.91\)
Total amount after one year = Principal amount + Interest earned = $590 + $22.91 = $612.91
Comparing the two amounts, after one year Linda has more money.
The difference in the amount is:
$617.32 - $612.91 = $4.41
Therefore, Linda has $4.41 more than Enrique after one year.
PART B: After a second year, we need to calculate the amounts again.
For Linda's account:
Principal amount = $617.32
Interest rate = 1.2%
\(Interest earned = Principal amount \times (Interest rate/100) = $617.32 \times (1.2/100) = $7.41\)
Total amount after the second year = Principal amount + Interest earned = $617.32 + $7.41 = $624.73
For Enrique's account:
Principal amount = $612.91
Interest rate = 3.9%
\(Interest earned = Principal amount \times (Interest rate/100) = $612.91 \times (3.9/100) = $23.92\)
Total amount after the second year = Principal amount + Interest earned = $612.91 + $23.92 = $636.83
Comparing the two amounts, after the second year Enrique has more money.
The difference in the amount is:
$636.83 - $624.73 = $12.10
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5х2 +х — 4
Factor completely
Answer:
(5x-4)(x+1)
Step-by-step explanation:
Please help fast.
Answer the question below:
Mrs. Okafor had $475 in her savings account. Each year, the value of the savings account increases
by 4%. How much money does she have in her account after 1 year?
Write an equation to represent the problem. Use b to represent the amount Mrs.
Okafor has in her account after 1 year.
Answer:
$475 + 4% (19 percent) = $494 a year.
Step-by-step explanation:
Can someone help me with this problem please
A bank loaned out $25,000, part of it at the rate of 3% annual interest, and the rest at 9% annual interest. The total interest earned for both loans was $1,770.00. How much was loaned at each rate?
$----------- was loaned at 3% and
$-----------was loaned at 9%.
$8,000.00 was loaned at 3% annual interest, and $17,000.00 (25,000 - 8,000) was loaned at 9% annual interest.
Let x be the amount loaned at 3% annual interest and y be the amount loaned at 9% annual interest.
According to the problem, we know that:
x + y = 25,000
0.03x + 0.09y = 1,770.00
We can use these two equations to solve for x and y.
One way to do this is to solve for one of the variables in terms of the other in the first equation, and substitute that expression into the second equation.
y = 25,000 - x
Substituting this expression for y into the second equation, we get:
0.03x + 0.09(25,000 - x) = 1,770.00
Simplifying and solving for x, we get:
0.03x + 2,250 - 0.09x = 1,770.00
-0.06x = -480.00
x = 8,000.00
Therefore, $8,000.00 was loaned at 3% annual interest, and $17,000.00 (25,000 - 8,000) was loaned at 9% annual interest.
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Solve each equation. Check your answers.
1. |–3x| = 18
3. |t + 5| = 8
5. |2x – 1| = 5
7. 11|x – 8| – 7 = 48
8.
Solve each equation. Check for extraneous solutions.
9. |x + 5| = 3x – 7
11. |4w + 3| – 2 = 5
13. |3x – 5| + 4 = 1
2. |5y| = 35
4. 3|z + 7| = 12
6. |4 – 2y| + 5 = 9
7. 11|x – 8| – 7 = 48
Answer:
1. t = -13 or t = 3
3. x = -2 or x = 3
5. x = -6 or x = 6
7. x = 3 or x = 13
9. x = 6
11. w = -5/2 or w = 1
2. y = -7 or y = 7
4. z = -11 or z = -3
6. y = 0 or y = 4
|-3x| = 18
3x = 18
x = 6
2.)|5y| = 35
5y = 35
y = 7
3.)|t + 5| = 8
t + 5 = 8
t = 8 - 5
t = 3
4.)3|z + 7| = 12
Divide by 3 from both side we get,
3|z + 7| ÷ 3= 12 ÷ 3
|z + 7| = 4
z + 7 = 4
z = 4 - 7
z = -3
5.)|2x – 1| = 5
2x + 1 = 5
2x = 5 - 1
2x = 4
x = 2
6.)|4 – 2y| + 5 = 9
4 + 2y + 5 = 9
2y + 9 = 9
2y = 9 - 9
2y = 0
y = 0
7.)11|x – 8| – 7 = 48
11|x – 8| = 48 + 7
11|x – 8| = 55
Divide by 11 from both side we get,
11|x – 8| ÷ 11 = 55 ÷ 11
x – 8 = 5
x = 5 + 8
x = 13
8.)|6x + 7/2| = 3
6x + 7/2 = 3
6x + 7 = 6
6x = 6 - 7
6x = -1
x = -1/6
9. )|x + 5| = 3x – 7
x + 5 = 3x – 7
x - 3x = -5 -7
-2x = -12
x = 6
11.)|4w + 3| – 2 = 5
4w + 3 – 2 = 5
4w - 1 = 5
4w = 5 + 1
4w = 6
w = 6/4
w = 3/2
13.)|3x – 5| + 4 = 1
3x + 5 + 4 = 1
3x + 9 = 1
3x = 1 - 9
3x = -8
x = -8/3
-TheUnknownScientist
Consider the following equation: Log(yt )= 0.7 + 1.2log(st ) + 0.3log(st-1) + 0.2log(st-2) + 0.1log(st-3) What is the percentage increase in y given a permanent 1% increase in s? a. 1.2 b. 1.8 c. 2.5 d. 0.5
Answer:
a. 1.2
Step-by-step explanation:
From the given question, we will notice that the dependent variable, as well as the independent variable, are log-transformed in the model. Thus, a 1% increase in S will likely result in 1.2% increase in Y.
write an explicit formula for an, the nth term of the sequence 39,31,23
Answer:
a_n = 47 - 8n
Step-by-step explanation:
a_1 = 39
a_2 = 31
a_3 = 23
31 - 39 = -8
23 - 31 = -8
This is an arithmetic sequence with constant difference -8.
a_1 = 39
a_2 = 39 - 8
a_3 = 39 - 8 - 8 = 39 - 2(8)
a_4 = 39 - 8 - 8 - 8 = 39 - 3(8)
...
a_n = 39 - (n - 1)(8)
a_n = 39 - 8(n - 1)
a_n = 39 - 8n + 8
a_n = 47 - 8n
Answer:
\(a_n=47-8n\)
Step-by-step explanation:
Given sequence:
39, 31, 23, ...Calculate the differences between the terms:
\(39 \underset{-8}{\longrightarrow} 31 \underset{-8}{\longrightarrow} 23\)
As the differences are constant (the same), this is an arithmetic sequence with:
First term (a) = 39Common difference (d) = -8\(\boxed{\begin{minipage}{8 cm}\underline{General form of an arithmetic sequence}\\\\$a_n=a+(n-1)d$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term.\\\phantom{ww}$\bullet$ $d$ is the common difference between terms.\\\end{minipage}}\)
Substitute the found values of a and d into the formula to create an equation for the nth term of the sequence:
\(\implies a_n=39+(n-1)(-8)\)
\(\implies a_n=39-8n+8\)
\(\implies a_n=47-8n\)
Is 5x - 3y = 0 direct variation?
Answer:
Yes
Step-by-step explanation:
\(5x-3y=0 \\ \\ 3y=5x \\ \\ y=\frac{5}{3}x\).
Since the equation can be rewritten in the form y=kx, the equation represents direct variation.
What is mZDAR in circle A?
R
B
340
D
B
A
A 56°
B 340
C 68°
D 170
Answer:
68°
Step-by-step explanation:
Since, angle subtended on the circumference of the circle is half angle subtended on the center of the circle.
\( \therefore m\angle DBR = \frac{1}{2} \times m\angle DAR\\\\
\therefore 34\degree = \frac{1}{2} \times m\angle DAR\\\\
\therefore 34\degree \times 2= m\angle DAR\\\\
\therefore 68\degree = m\angle DAR\\\\
\therefore m\angle DAR=68\degree\)
PLZ HELPP!! ITS ALMOST DUE!!! ILL MARK BRAINLIEST!!
Answer:
y= 1/2x + 6
Step-by-step explanation:
i hope that helps, I'm pretty sure that's what it is
Answer:
y = 1/2x + 6
Step-by-step explanation:
6 would be the y intercept as he had already planted the 6 rows.
slope = rise/run
1 would be the amount of rows in 1/2
2 would be the amount of hours each time
What are the domain and range of f (x)=16
Range: {16 }
Domain:(- ∞ , ∞ ),{ x| x∈ R }
Step-by-step explanation: Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
answer w/ a two column proof (statement and justification)
GH is parallel to KJ and GJ is parallel to HK, we have shown that both pairs of opposite sides are parallel. Therefore, GHJK is a parallelogram.
What is the parallelogram?
A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure.
To prove that GHJK is a parallelogram, we need to show that both pairs of opposite sides are parallel.
From the given information, we know that GK is parallel to HJ (since they are both parallel to LG), so we can start by using this fact to show that GH is parallel to KJ:
∠GKL and ∠HJK are alternate interior angles formed by the transversal GK across the parallel lines LG and HJ.
Therefore, ∠GKL ≅ ∠HJK.
Similarly, we can use the fact that LG is parallel to GK to show that GJ is parallel to HK:
∠ZGL and ∠KHG are alternate interior angles formed by the transversal HG across the parallel lines LG and GK.
Therefore, ∠ZGL ≅ ∠KHG.
Hence, GH is parallel to KJ and GJ is parallel to HK, we have shown that both pairs of opposite sides are parallel. Therefore, GHJK is a parallelogram.
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10-2 is Choose... times as great as 10-4.
Number 10⁻² is 100 times as great as 10⁻⁴.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Numbers are 10⁻² and 10⁻⁴.
Let number 10⁻² is x times great as 10⁻⁴.
Hence, We can formulate;
⇒ 10⁻² = x × 10⁻⁴
⇒ x = 10⁻² / 10⁻⁴
⇒ x = 10⁻²⁺⁴
⇒ x = 10²
⇒ x = 100
Thus, Number 10⁻² is 100 times as great as 10⁻⁴.
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Try It A checking account was overdrawn $18. The bank charged the account an additional $29 as a fee for being overd money should be deposited to bring the total account balance to zero. Which expression can be used to show how much money should be deposited to bring the total account balance OA. (-47) +47 OB. (-18) + (-29) OC. (-18) + 18 OD. (-47) + (−29)
Answer:
A
The balance is 18+29=47 dollars in the red, so to get the balance to zero, you need to add $47.
Suppose you run 3 miles from your house to a friends house at a speed of 7 miles per hour when the time comes to return home you are tired and walk the same 3 miles home at 2 miles per hour
The amount of time you spent running to your friend's house was 3 / 7 hours
The amount of time you spend walking home was 1. 5 hours
How to find the time taken ?To find the time taken, when given distance and speed, the formula is:
= Distance / Speed
The time you spent running to your friend's house is therefore :
= Distance / Speed
= 3 / 7
= 3 / 7 hours
The time you spent walking back home was :
= 3 / 2 x 60
= 1. 5 hours
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The questions are:
a. How long did you spend running to your friend's house? hour(s)
b. How long did you spend walking home?
For which equation is (4, 3) a solution?
Answer:
Y=2x-5
Step-by-step explanation:
The length of one piece of wood is 4.7 yards. A second piece of wood has a length of 4 4/5 yards. How many yards longer is the longest piece of wood?
Answer:
The longest piece of wood, the second piece, is longer than the first by 0.1 yard.
Step-by-step explanation:
4 4/5 = 4.8
4.8 > 4.7
4.8 - 4.7 = 0.1