Answers
Answer:
∠ B ≈ 62.73°
Step-by-step explanation:
Using the sine ratio in the right triangle.
sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{8}{9}[/tex] , thus
∠ B = [tex]sin^{-1}[/tex] ([tex]\frac{8}{9}[/tex] ) ≈ 62.73° ( to the nearest hundredth )
Related Questions
what is the sum of the 2nd square number and the 5th cube number
Answers
Answer:
129
Step-by-step explanation:
4+125=129
The sum of the 2nd square number and the 5th cube number is 129.
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.
As per the given question, the required solution would be as:
1, 2, 3, 4, 5....
1, 4, 9, 16, 25 ...
So, the second square number will be 4.
1, 8, 27, 64, 125, ...
So, the fifth cube number will be 125.
The sum of the second square number and the fifth cube number is :
4 + 125 = 129.
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What is the less of side a? Round to the nearest tenth of an inch.
Answers
Answer:
About 14 in the exact value is 14.38 smthn
PLS HELP I have a time limit
Answers
Answer:
THE ANWSER IS 2.7
Step-by-step explanation:
YOUR TO TAKE GRAM AND DIVE IT BY 54
Answer:
C
Step-by-step explanation:
Linda needs 2200 calories per day to maintain her present weight and daily activities. She wants to lose x pounds per day. Each pound of body weight lost is equivalent to 3400 calories. Write her daily calorie intake as a linear function of the number of pounds of weight lost per day. (Let y represent the calorie intake and x represent the number of pounds of weight lost per day.)
Answers
Answer:
y = - 5600x + 2200
Step-by-step explanation:
Given that:
x = number of pounds lost per day
y = calorie intake
Using the linear relation :
y = mx + c
When calorie intake = 2200, no loss or gain in weight ; x = 0 ; hence intercept c = 2200
y = 0 + 2200
Each pound of body weight lost = - 3400 calories
Hence, equation when x = 1
-3400 = m(1) + 2200
-3400 = m + 2200
-3400 - 2200 = m
-5600 = m
Hence,
y = mx + c
y = - 5600x + 2200
f(4) if f(x)=-3+15 ?
Answers
Answer:
12
Step-by-step explanation:
f(4) means that we need to substitute 4 into x to get
f(4) = -3 + 15
and -3 + 15 = 12
Mr.morales makes a table of the number of chaperones needed for different number of students attending a field trip. the ratio of parent chaperones to students is a constant proportion. what is the missing number in Mr.morales table.
Answers
Answer:
mark brainest
Step-by-step explanation:
Answer: 48
Step-by-step explanation:
Because, its multiplying by 8.
2×8= 16
4×8=32
6×8=48
8×8=64
please please help
Simplify (4x − 6) − (3x + 6).
Answers
Answer:
x - 12
Step-by-step explanation:
To solve the equation, you need to combine like terms.
The first pair of like terms are 4x and 3x, so 4x - 3x = x
The second pair of like terms are -6 and 6 so -6 - 6 = -12
Therefore, the answer will be x - 12
Teresa wants to buy 2 new tires for her mountain bike. She has budgeted $120 for the tires, but after researching costs, knows she may end up
spending within $25 of that amount.
Write an inequality that Teresa could use to find the cost of each tire. Use the inequality to complete this statement.
Teresa may spend at least $
and at most $
for each new tire.
Answers
Answer:
Inequality: 95 ≤ x ≤ 145
Minimum = 95
Maximum = 145
Step-by-step explanation:
Given
Budget = $120
Range = $25
Solving (a) Write an inequality to determine how much she could spend.
The range implies that she can spend less or more of the budgeted amount.
Let the amount to spend be represented by x.
If she spends more, the maximum would be
Max = Budget + Range
Max = 120 + 25
Max = 145
If she spends less, the minimum would be
Min = Budget - Range
Min = 120 - 25
Min = 95
So, this means that x could fall within the range of the minimum and the maximum.
Mathematically, this is:
Min ≤ x ≤ Max
So, the inequality would be:
95 ≤ x ≤ 145
Solving (b): The minimum and maximum.
The minimum and the maximum amount have been solved in (a) above.
Minimum = 95
Maximum = 145
Answer:
Step-by-step explanation:
What is the equation in slope-intercept form that passes through the points (-4, 47) and (2, -16)?
Answers
Answer:
y = 10.5x - 37
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Equality Properties
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Point (-4, 47)
Point (2, -16)
Step 2: Find slope m
Substitute: [tex]m=\frac{-16-47}{2+4}[/tex]Subtract/Add: [tex]m=\frac{63}{6}[/tex]Simplify: [tex]m=\frac{21}{2}[/tex]Step 3: Find y-intercept b
Define: y = 21/2x + bSubstitute: -16 = 21/2(2) + bMultiply: -16 = 21 + bIsolate b: -37 = bRewrite: b = -37Step 4: Write linear equation
Combine all parts.
y = 21/2x - 37
y = 10.5x - 37
And we have our final answer!
5. AAA Dance Shoes makes dancing shoes with leather soles. The shoes cost $29 each to
manufacture. The fixed cost for the product line is $45,000. The company has
determined their demand function to be q=-200p+30,000, where p is the price for each
pair of shoes. What is the revenue function in terms of price? S
(10 Points)
R
200p + 915,000
O R = -200p + 30,000
O R = -200p2 + 30,000
O R = 200p2 + 870,000
Answers
Answer: 200p² + 870,000
Step-by-step explanation:
Revenue is calculated as price multiplied by quantity. In this case,
Price = P
Quantity (Q) = q=-200p+30,000
Revenue = p × q
Revenue = (200p + 30,000) × p
= 200p² + 30000p
= 200p² + 30000(29)
= 200p² + 870,000
The revenue function is 200p² + 870,000
A recipe calls for 6 cups of milk. If you have 4
pints of milk, how many cups will you have left
over?
Answers
HELP!! What value of y makes the equation 4x – 3y = 17 true, when x = 2?
Answers
Answer:
y= -3
Step-by-step explanation:
4(2) - 3y = 17
8-3y=17
-8 -8
-3y=9
______
-3
y=-3
Answer:
y = -3
Step-by-step explanation:
1. 0.071 64 correct to 2 significant figures is
Answers
Answer:
0.07
Step-by-step explanation:
what situations can be modeled with fraction multiplication and division
Answers
dont put anything random plsi ned
Answers
Answer:
I'll go from the top row and then do the bottom row from left to right. I put the letters next to them too if that makes it any easier.
Step-by-step explanation:
First one is already done
Second one:
Slope: -3 ( letter O)
Y-intercept: (0,4) (letter N)
Third One:
Slope: 2/3 ( letter P)
Y- intercept: (0,-3) (letter J)
Fourth One:
Slope:-1/2 (letter M)
Y-intercept: (0,3) (letter F)
Fifth one: ( first one on second row)
Slope: 1 ( letter i)
Y-intercept: (0,2) (letter S)
Sixth one:
Slope: -1/3 ( letter D)
Y-intercept: (0,-2) (letter B)
seventh one:
slope: 1/4 (letter E)
y-intercept: (0,-4) (letter H)
eighth one:
Slope:2 ( letter G)
Y-intercept: (0,0) ( letter A)
Hopefully these are all correct and it's not too confusing :)
system equations -2x-6y=-16
Answers
........................
Answer:
x=−3y+8
Step-by-step explanation:
Step 1: Add 6y to both sides
−2x=6y−16
Step 2: Divide both sides by -2
−2x/−2 = 6y−16/−2
x=−3y+8
Im hoping this was very helpful : )
Elena and her best friend found some money in an envelope. They split the money evenly, each getting $25. How much money did they find? Write and solve the equation for this probl
Answers
2(25)=50
wait do you need to use x?
The library had 301 shelves of books. Each shelf had 13 books. Librarians checked out 807 books to students. How many books does the library have remaining
Answers
Answer:
3106 books
Step-by-step explanation:
From the question:
The library had 301 shelves of books. Each shelf had 13 books.
Hence, the total number of books in the library =
Number of shelves × Number rod books in a shelf
= 301 × 13 books
= 3913 books
The total number of books in the library is 3913 books
Librarians checked out 807 books to students.
How many books does the library have remaining?
This is calculated as:
Total number of books - Number of books checked out
= 3913 books - 807 books
= 3106 books
The library has 3106 books remaining.
Complete the statement. Round to the nearest hundredth if necessary
14 m to ft
The answer is not 45.93 or 46.
Answers
Answer:
[tex]45.9[/tex]
Step-by-step explanation:
Remember that the hundredths place value is the second number after the decimal point and to round that number has to be greater than five in order to round up.
[tex]1m=3.28084[/tex]
[tex]3.28084\times14=45.93176[/tex]
Hundredths place value = 3
Round:
[tex]3<5[/tex]
[tex]=45.9[/tex]
Hope this helps.
What is the value of n in the equation 1/2(n-4)-3=3-(2n+3)
Answers
Answer:
2
We first use the distributive property on both sides:
1/2(n)-1/2(4)-3 = 3-(2n)-(3)
1/2n - 2 - 3 = 3 - 2n - 3
Combining like terms on both sides,
1/2n - 5 = -2n
Subtracting 1/2n from both sides:
1/2n - 5 - 1/2n = -2n - 1/2n
-5 = (-2 1/2)n
Divide both sides by -2 1/2:
-5/(-2 1/2) = (-2 1/2)n/(-2 1/2)
2 = n
Which number is not a whole number ? A. 8. B. -10. C. 0. D.18/3
Answers
Answer:
B. -10 its a negative number
the price of an item has risen to 300$ today. yesterday it was 125$. Find the percentage increse.
Answers
Answer:
140
Step-by-step explanation:
Trust Me
I don’t understand slopes at all! Can someone please help?Write an equation in slope-intercept form for a line that goes through the points (-3, 5) and (2, 8).
Answers
Answer:
Step-by-step explanation:
y2-y1
x2-x1=
y=mx+b
8-5
2+3=
3/5 = slope
b=0
y=3/5x
Amani is mailing packages. Each small package costs her $3.40 To send. each large package costs her $4.30. how much will it cost her to send six small packages and seven large packages?
Answers
Answer:
the answer is $50.50,
Answer:50.50
Step-by-step explanation:
you jog 3.6 miles in 30 minutes. at the rate how long will it take you to jog 4.8 miles?
Answers
hope this helps
have a good day
Fiona was thinking of a number. Fiona subtracts 11 from it and gets an answer of 33.9. What was the original number?
Answers
Answer: 44.9
Step-by-step explanation:
33.9+11 = 44.9
Answer:
44.9
Step-by-step explanation:
33.9+11=44.9
44.9-11=33.9
A chemist has three different acid solutions. The first acid solution contains 15 % acid, the second contains 35 % and the third contains 65 % . He wants to use all three solutions to obtain a mixture of 72 liters containing 45 % acid, using 2 times as much of the 65 % solution as the 35 % solution. How many liters of each solution should be used?
Answers
Answer:
18 liters 15% acid
18 liters 35% acid
36 liters 65% acid
Step-by-step explanation:
Let's say x is the volume of 15% acid, y is the volume of 35% acid, and z is the volume of 65% acid.
x + y + z = 72
z = 2y
The amounts of acid add up to the final amount.
0.15x + 0.35y + 0.65z = 0.45 (72)
Substitute the expression for z into both equations.
x + y + 2y = 72
0.15x + 0.35y + 0.65 (2y) = 0.45 (72)
Simplify:
x + 3y = 72
0.15x + 1.65y = 32.4
Solve for x in the first equation, then substitute into the second.
x = 72 − 3y
0.15 (72 − 3y) + 1.65y = 32.4
Solve for y.
10.8 − 0.45y + 1.65y = 32.4
1.2y = 21.6
y = 18
Now find x and z.
x = 72 − 3y = 18
z = 2y = 36
18 liters 15% acid, 18 liters 35% acid and 36 liters 65% acid should be used.
What is percentage?Percentage is a measurement to find the value of a given number out of a hundred.
Let x is the volume of 15% acid, y is the volume of 35% acid, and z is the volume of 65% acid.
Given that, the total mixture is 72 liters,
Implies that,
x + y + z = 72
Also,65% solution is used two times as 35% solution is used.
z = 2y
The amounts of acid add up to the final amount.
0.15x + 0.35y + 0.65z = 0.45 (72)
Substitute the value of z here,
0.15x + 0.35y + 0.65 (2y) = 0.45 (72)
Simplify
x + 3y = 72
0.15x + 1.65y = 32.4
Solve for x in the first equation, then substitute into the second.
x = 72 − 3y
0.15 (72 − 3y) + 1.65y = 32.4
Solve for y.
10.8 − 0.45y + 1.65y = 32.4
1.2y = 21.6
y = 18
Now find x and z.
x = 72 − 3y = 18
z = 2y = 36
18 liters 15% acid, 18 liters 35% acid and 36 liters 65% acid should be used.
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Hi. Please I need help with these questions.
It's urgent .
No jokes. This time
Answer No 14
Answers
9514 1404 393
Answer:
21x² +20x +100 = 0
Step-by-step explanation:
We know the sum of the roots of x² +bx +c = 0 is -b, and their product is c. If the roots are α and β, then ...
α+β = -bαβ = cThe sum of the roots of the new equation will be ...
-b' = (α+1/β)+(β+1/α) = (α+β) +(1/α +1/β) = (α+β)(1 +1/(αβ))
The product of the roots of the new equation will be ...
c' = (α+1/β)(β+1/α) = αβ +2 +1/(αβ)
Using the above relations for (α+β) and αβ, we find that ...
-b' = (-b)(1 +1/c)
c' = c + 2 + 1/c
For the given equation, our definition of b and c is ...
b = 2/3
c = 7/3
so the new equation has values ...
b' = (2/3)(1 + 1/(7/3) = (2/3)(10/7) = 20/21
c' = 7/3 + 2 + 1/(7/3) = 13/3 + 3/7 = 100/21
So, the equation with the roots of interest is ...
x² +20/21x +100/21 = 0
Multiplying by 21 gives ...
21x² +20x +100 = 0
Do u like my drawing? I was supposed to become an artist for a day and I messed up soooo i went with it lol
Answers
Answer:
The drawing looks goood.
Answer:
good
Step-by-step explanation:
it looks good better than mine
Find the missing terms in each geometric sequence.
1. 3, 12, 48 __, __
2. __, __, 32, 64, 128, ...
3. 120, 60, 30, __, __
4. 5, __, 20, 40, __, __
5. __, 4, 12, 36, __, __
Answers
2. 8, 16 (it was adding the number together 8+8)
3. 15, 7.5 ( it was half of the number)
4. 10, 80, 160 ( times 2 )
5. .75, 108, 324 ( times 4 )
Hope this helped! Lmk if you need more help!