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y is 32.91
.....
Related Questions
Can anyone help me out with this?? I dont Understand
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s = r*θ . . . . . . . where θ is in radians
For your arc, the length is
s = (15 ft)*(π/4) ≈ 11.78 ft
_____
45° can be converted to radians by multiplying by π/180°.
45° * (π/180°) = π*(45/180) = π/4 . . . . radians
A swimmer swims 4 laps in 3 minuets. What is the swimmers unit rate?
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5.301 times 10^7 standard form
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Please halp!This is very important to me!
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40. Where is the answer?
5(4,424) = 22,120
Available seats are:
4724 - 300 = 4424 seats
the total number of tickets sold for 5 games:
4424(5) = 22,120 tickets
therefore your answer will be: (C) my friend.
hope this helps!!!!!!
ellen flipped a coin 80 times. the coin landed heads up 44 times and tails up 36 times. what is the theoretical probability of labding tails up
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Answer:
50%
Step-by-step explanation:
Tracy is cleaning up after tiling a bathroom there are four open boxes of tile Each box has 5/8 of tile remaining how many boxes of tile are left
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This is multiplication. But instead of crossing our fingers and multiplying the first two numbers you see, let me explain: it says that there are FOUR open boxes of tile. Ok...what else? EACH box has 5/8 of tile remaining. EACH!!! That means, to find how much is left for FOUR boxes, multiply 4 by (5/8)
(4/1) • (5/8)
(20/8)
2.5
Or 2 (1/2) [two and a half] boxes
Tracy has the equivalent of 2 and 1/2 full boxes of tile left after tiling the bathroom, as each of the four boxes has 5/8 of tile remaining.
The question involves a scenario where Tracy is cleaning up after tiling a bathroom and assessing how much tile is remaining. With four open boxes of tile and each box containing 5/8 of tile remaining, we can calculate the total amount of tile left. To do this, we simply multiply the number of boxes by the fraction representing the remaining tiles in each box. This gives us:
4 boxes 5/8 of tile per box4 boxes × 5/8 tile per box = 20/8 (or 2 and 1/2 boxes when simplified).
Therefore, Tracy has the equivalent of 2 and 1/2 full boxes of tile left after tiling the bathroom. The small gaps mentioned in another context are typically recommended to accommodate expansion and contraction of the tiles due to changes in temperature and humidity, which is an important concept in laying tile.
A traveler has $50 in United States bills and wishes to convert them to Swiss Francs. The traveler checks a newspaper for the exchange rate and finds the figure "1.6465" under "Dollar in Foreign Currency."
At this rate he receives -__ francs.
51.65
82.33
30.37
will report if answer is wrong or you just reply "sorry idk"
Answers
First answer, but any other questions i answer will be short and sweet and the answer itself will be in bold
Answer:
At this rate traveler receives 82.33 Swiss Francs.
Step-by-step explanation:
A traveler has $50 United States bills. He wishes to convert them to Swiss Francs.
The current exchange rate : 1 Dollar = 1.6465 Swiss Francs
50 Dollars = 1.6465 x 50 = 82.325 Swiss Francs rounded to 82.33.
At this rate traveler receives 82.33 Swiss Francs.
What is the answer for the equation 4|x+1/3|=20 ? A.x=411/12or-411/12 B.x=411/12 C.x=42/3or-51/3D.no solution
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Divide by 4, unfold, subtract 1/3.
.. |x +1/3| = 5
.. -5 = x +1/3 . . . . one choice for the sign of the content of |x +1/3|
.. -5 1/3 = x
.. x +1/3 = 5 . . . . the other choice
.. x = 4 2/3
_____
If this were an inequality |x +1/3| < 5, I would "unfold" it as
.. -5 < x +1/3 < 5 . . . . . . . copy the right side expression to the left with reversed sign.
The above is an approximation of that. You can't really write -5 = ( ) = 5, because it is a gross violation of the equal sign. But you can write the two versions:
.. -5 = ( )
.. ( ) = 5
Answer:
C. x = 4 2/3 or x = -5 1/3
Step-by-step explanation:
4|x + 1/3| = 20
Divide both sides by 4.
|x + 1/3| = 5
Deal with the absolute sign symbol.
x + 1/3 = 5 or x + 1/3 = -5
x = 4 2/3 or x = -5 1/3
Answer: C. x = 4 2/3 or x = -5 1/3
Johannes buys a bag of dried fruit in 10 ounce bags. If he plans to take 5 pounds of dried fruit on a camping trip, how many bags should he take?
A. 5
B. 8
C. 32
D. 50
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Draw a number line and show all numbers that …
are solutions of the equations (x−1)(x+1)=0.
on a number line that is -5 through 5
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x = 1 or x = -1
Ans : -1 and 1
-5 -4 -3 -2 -1 0 1 2 3 4 5
--|--|--|---|---|--|---|--|--|--|--|--
(x-1)(x+1)=0
is x=1 and x= -1
Therefore, there should be points on the line at 1 and -1
Anais bought 2 1/2 yards of ribbon. She had 1 foot 6 inches of ribbon left andvtrimming some curtains. How many inches of ribbon did Anais use to trim curtains
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The population of city A is 18% less than the population of city B so city A population is what percent of city B
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The population of city A is 82% of the population of city B.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Let y be the population of the city A.
and, x be the population of city B.
As, the population of city A is 18% less than the population of city B.
So, (100- 18) = 82% = 0.82
Thus, the relation is y= 0.82 x
Hence, The population of city A is 82% of the population of city B.
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Final answer:
City A's population is 82% of city B's population, which is calculated by subtracting the decrease percentage (18%) from 100%.
Explanation:
The question focuses on finding the percentage of city A's population relative to city B's population. Given that city A's population is 18% less than city B's population, it means that city A has 82% (100% - 18%) of the population of city B. Therefore, if city B is considered 100% in terms of population size, city A's population is 82% of city B's population. This is calculated by understanding that subtracting the percentage decrease from 100% gives us the remaining percentage.
Hence, City A's population is 82% of City B's population, indicating that City A's population is 82/100 or 0.82 times the population of City B.
What is the area of a parallelogram if its length is x+4 and its height is x+3
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[tex]\sf A=bh[/tex]
Where 'b' is the base and 'h' is the height. Plug in what we know:
[tex]\sf A=(x+4)(x+3)[/tex]
Distribute(multiply everything in the first parenthesis to everything in the second parenthesis):
[tex]\sf x\times x=x^2[/tex]
[tex]\sf x\times 3=3x[/tex]
[tex]\sf 4\times x=4x[/tex]
[tex]\sf 4\times 3=12[/tex]
So we have:
[tex]\sf A=x^2+3x+4x+12[/tex]
Combine like terms(3x + 4x = 7x):
[tex]\sf A=\boxed{\sf x^2+7x+12}[/tex]
To find the area of a parallelogram with base length x+4 and height x+3, multiply these two values to yield an area represented by the quadratic equation x²+7x+12.
Explanation:The area of a parallelogram is calculated by multiplying the base length by the height of the parallelogram. For a parallelogram with a base length of x+4 and a height of x+3, the area can be found by the formula Base x Height = Area of parallelogram.
The calculations follow these steps:
Identify the base (x+4) and the height (x+3).Multiply the base and height: (x+4)(x+3).Continuing with algebra, expand the expression: x²+3x+4x+12.Combine like terms to get the final area: x²+7x+12.Therefore, the area of the parallelogram is represented by the equation x²+7x+12, given the dimensions provided.
Plastic bags used for packaging produce are manufactured so that the breaking strength of the bag is normally distributed with a mean of 5 pounds per square inch and a standard deviation of 2 pounds per square inch. what is the probability that a sample of 16 such bags will have an average breaking strength less than 6 pounds per square inch? (choose the closest answer. answers are rounded to the fourth decimal place).
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Kirby drew a quadrilateral with four right angles, a side that measures 9 centimeters, and a side that measures 6 centimeters. What is the figure? What is its perimeter
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Answer:
Perimeter of the rectangle is 30 cm.
Step-by-step explanation:
Kirby drew a quadrilateral with 4 right angles, a side that measures 9 centimeters and a side that measure 6 centimeters.
Since quadrilateral has all its sides equal to 90° and opposite side equal in size.
Therefore, the quadrilateral is a rectangle.
Perimeter of rectangle = sum of all sides
= [ 9 + 9 ] + [ 6 + 6 ]
= [ 18 ] + [ 12 ]
= 30
Perimeter of the rectangle is 30 cm.
A sphere has a diameter of 5 inches.
What is the volume of the sphere rounded to the nearest tenth?
Use 3.14 for pi.
16.4 in³
65.4 in³
130.8 in³
523.3 in³
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[tex]V = (4/3) * ( \pi ) * (r ^ 3) [/tex]
Where,
r: is the radius of the sphere
The radius of the sphere is:
[tex]r = d / 2 [/tex]
Where,
d: diameter of the sphere
Substituting values we have:
[tex]r = 5/2 r = 2.5[/tex]
Then, the nolumen is given by:
[tex]V = (4/3) * (3.14) * (2.5 ^ 3) V = 65.4 in ^ 3[/tex]
Answer:
the volume of the sphere is:
65.4 in³
Answer:
65.4 in³
Step-by-step explanation:
Factor.
x^2−8x+16
(x−8)^2
(x+8)^2
(x+4^)2
(x−4)^2
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-4 are two factors of 16 that differ by -8
WILL MARK BRAINIEST!!
Find the slope of the line that passes through each pair of points.
C(7, -3), D(11, -4)
R(-2, -3), S(-2, -5)
T(-13, 8), U(21, 8)
E(5, 2), F(12, -3)
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CD: -1/4
RS: undefined (a vertical line at x=-2)
TU: 0 (a horizontal line at y=8)
EF: -5/7
Emma is going camping each side triangle of hurt it is 5 feet tall the square base 4 feet wide what is the surface area of her tent
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[total surface area]= [surface area of the base]+[surface area of triangle sides]
[surface area of the base]= 4*4=16 ft²
[surface area of one triangle side] = (base*height)/2 = 4*5/2------> 10 ft²
[surface area of four triangle sides]=4*10----------> 40 ft²
[total surface area]=16+40-------> 56 ft²
the answer is 56 ft²
Yan Yan Corp. has a $3,000 par value bond outstanding with a coupon rate of 5 percent paid semiannually and 12 years to maturity. The yield to maturity of the bond is 5.6 percent.
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P=total sum (c/(1+ytm)^t)+(per value)/(1+ytm)^n
ytm=0.056
c=coupon=2.5%=0.025×3000=75
t=12 years
this can be written as follows using continous compounding
Bond price, P will be:
P=75e^(0.056*2*1)+75e^(0.056*2*2)+75e^(0.056*3*2)+75e^(0.056*4*2)+...............+75e^(0.056*11*2)+3075e^(0.56*12*2)
=$2844.24
need to know what the right answer is
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On the test with 25 problems, Grace got 88% correct. How many problems did Grace get correct?
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88/100 is .88
Then multiply that by the number of problems.
.88 x 25 is 22
Your answer is 22!!
Hope this helped!!!
~xox Melis
There are 22 problems Grace get correct.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
Total number of questions = 25
And, Grace got 88% correct.
Now,
Since, Total number of questions = 25
And, Grace got 88% correct.
Hence, The correct questions = 88% of 25
= 88/100 x 25
= 88/4
= 22
Thus, There are 22 problems Grace get correct.
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Drag the tiles to the correct boxes to complete the pairs.
Model each problem as an equation, and then match it to its solution.
Tiles
The sum of the squares
of two positive integers is
185. If one integer is 3
less than the other, find
the larger integer.
The numerator of a
fraction is 1 more than
twice its denominator. If 4
is added to both the
numerator and the
denominator, the fraction
reduces to . Find the
denominator.
The difference of a
positive integer and its
inverse is . Find the
integer.
Answers
The questions are solved by setting up equations based on the information provided, and then solving. The equations help identify the larger integer, the denominator, and the positive integer in the various problems.
Explanation:The first question talks about two integers, hence we can express them as x and y. It is stated that one is 3 less than the other, so we let y = x - 3. The sum of their squares is 185, so we can write this as x² + y² = 185. Replacing y in the equation, we get x² + (x - 3)² = 185. Solve this quadratic equation for its roots, one of which is the larger integer.
In the second question, the numerator of a fraction is described to be 1 more than twice its denominator. If the denominator is x, the numerator becomes 2x + 1. We're also told that when 4 is added to both, the fraction reduces to 1/2. Thus, we have: (2x + 1 + 4) / (x + 4) = 1/2. Solve this equation to find the denominator.
The third question talks about a positive integer and its inverse (1/x if x is the integer). It is mentioned that their difference is 1/4. Hence, we get the equation: x - 1/x = 1/4. Solving this equation gives the required integer.
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The diameter of a circle is 2 yards. What is the circle's radius?
d
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In the other hand the radius is a line passing through the center of the circle to the circumference, and it is the half of the measure of the diameter.
On this question is given that the diameter of a circle is 2 yards and it is asked to find the radius.
Radius=1/2diameter
Radius=1/2(2)
Radius=1
The radius of a the circle is 1 yard.
What is the value of x?
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This is a 45-45-90 triangle; 45-45-90 triangles' sides are in the ratio 1:1:[tex] \sqrt{2} [/tex].
Since the legs measure 7 units, the hypotenuse (x) measures [tex]7 \sqrt{2} [/tex].
Answer:
[tex]7 \sqrt{2} [/tex]
what equation has a solution of 4/5 for n?
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Help please!
John bought a used truck for $4,500. He made an agreement with the dealer to put $1,500 down and make payments of $350 for the next 10 months. The extra cost paid by taking this deal is equivalent to what actual yearly rate of interest? A. 33% B. 36% C. 3.6% D. 63%
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Explanation:
1) Purchase price: $4500
2) Payments:
down: $1500
monthly: $350 * 10 = 3500
Total payments = $1500 + $3500 = $5000
3) Difference: $5000 - $3500 = $1500 = extra cost
4) Percent extra cost = (difference / purchase price) * 100 = ($1500/$4500)*100 = 33.3%
Answer-
The extra cost paid by taking this deal is equivalent to actual yearly rate of interest 36%
Solution-
Price of truck = $4500
John made a down payment of $1500, so the present value of annuity will be,
[tex]4500-1500=\$3000[/tex]
We know that,
[tex]\text{PV of annuity}=P[\frac{1-(1+r)^{-n}}{r}][/tex]
[tex]PV\ of\ annuity=3000,\\\\P=350,\\\\r = x%\ monthly\\\\n=10\ months[/tex]
Putting the values,
[tex]\Rightarrow 3000=350[\dfrac{1-(1+x)^{-10}}{x}][/tex]
[tex]\Rightarrow \dfrac{3000}{350}=[\dfrac{1-(1+x)^{-10}}{x}][/tex]
[tex]\Rightarrow \dfrac{60}{7}x=1-(1+x)^{-10}[/tex]
[tex]\Rightarrow (1+x)^{-10}+\frac{60}{7}x-1=0[/tex]
Using calculator we get,
[tex]\Rightarrow x=0.0291=2.91\% \approx 3\%[/tex]
Therefore, annual interest will be,
[tex]=12\times x=12 \times 3=36\%[/tex]
The area of a rectangular classroom is given by the trinomial a - 4a - 21. The length of the rectangle is a+3. What is the expression for the width of the classroom?
Answers
A^2 -4A-21=0
(A-7)(A+3)=0
A=7 A=-3, ignore the negative number because it doesn't make sense if you plug in for a.
length=a+3=7+3=10
Width=7=a
Final answer:
To find the width of the rectangular classroom, we divide the area, expressed as -3a - 21, by the length, expressed as a+3. Simplifying the trinomial by binomial division, we find that the width is represented by the expression (a - 7).
Explanation:
To find the expression for the width of the classroom, we need to divide the area of the rectangle by its length. The area of the rectangular classroom is given by the trinomial a - 4a - 21, which simplifies to -3a - 21. Since we are given that the length of the rectangle is a+3, we divide the area by the length to get the width.
Width = Area / Length
Width = (-3a - 21) / (a + 3)
Now, to divide the trinomial by the binomial, we look for a binomial that when multiplied by the length gives us the area. The factors of -21 that add up to -4 (the coefficient of 'a' in the area expression) are -7 and 3. So, the binomial that we seek can be written as (a - 7) because:
(a+3)(a-7) = a² - 7a + 3a - 21 = a² - 4a - 21
Which matches our area expression. Therefore, the expression for the width of the classroom is (a - 7).
If you complete the entire question I'll give you 1000 points!
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A = E = 25.02 feet
B = D = 31.11 feet
C = ║(37, 65) -(63, 39)║ = √((-26)² +26²) = √1352 ≈ 36.77 . . . feet
A = E = 25.02 feet
B = D = 31.11 feet
C = ║(37, 65) -(63, 39)║ = √((-26)² +26²) = √1352 ≈ 36.77 . . . feet
i litterly need just 49 points lol thank man XD
A piece of stained glass in the shape of a right triangle has sides measuring 8 centimeters, 15 centimeters, and 17 centimeters.What is the area of the piece?
Answers
A = (1/2)bh
A = (1/2)(8 cm)(15 cm)
A = 60 cm²