Answers
Answer:
3.86
Step-by-step explanation:
To solve this problem, we can use sine of the angle 75(which as a reminder, is opposite over hypotenuse):
sin(75)=x/4
x=4*sin(75)
If you plug that into a calculator, you get approximately 3.86.
The picture below shows how to set up the triangle.
Related Questions
How much simple interest does $2,560 earn in 17 months at a rate of 11
%. Round to the nearest cent (hundredth). What will be the new
balance?
Answers
Answer:
You end up with $15,091.44 This means you earned $12,531.44
Step-by-step explanation:
Dana helped her dad build a sandbox for her younger sister. The sandbox is shaped like a rectangular prism that is 4 1 2 feet long and 4 feet wide. Dana used bags of sand to fill the sandbox 1 2 of a foot deep. Each bag contains 1 2 of a cubic foot of sand. How many bags of sand did Dana use?
Answers
The number of bags of sand needed to fill the sandbox is 18 bags
How to find volume of a rectangular prismLength = 4 1/2 ftWidth = 4 ftHeight = 1/2 ftQuantity of each bag of sand = 1/2 ft³Volume = L × W × H
= 4 1/2 × 4 × 1/2
= 4.5 × 4 × 0.5
= 9 ft³
Number of bags of sand needed to fill the sandbox = volume of the sandbox ÷ quantity of each bag
= 9 ft³ ÷ 1/2 fr³
= 9 × 2/1
= 18 bags
Learn more about rectangular prism:
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If A=[tex]\left[\begin{array}{ccc}1&4\\5&6\\\end{array}\right][/tex] and aij =6 then find the value of i and j
Answers
[tex]\longrightarrow[/tex]In a matrix the the the position of an element is determined by using a[tex]_{ij}[/tex] where i the number of row and j is number of column in which the element is.
[tex]\leadsto[/tex]Since 6 is in 2nd column and 2nd row , it's position can be written as a[tex]_{22}[/tex]
Comparing with a[tex]_{ij}[/tex]
i = 2j = 28. Use the general formula for an exponential function, f(x) = a. b, to write a specific function given an
initial value of 61 and a growth factor of 3.5.
Answers
Answer: f(x) = 61(3.5)^x
Step-by-step explanation:
This is what the variables always mean in the function:
a = initial value
b = growth factor
x = time
Then, you just plug them in! Hope this helps.
In complete sentences, compare and contrast the metric system and the U.S customary system. Which system is it easier to convert? Explain.
Answers
Answer:
232423
Step-by-step explanation:
You have been saving nickels, dimes, and quarters in a jar for about a year. You decide to see how much money you've saved up. When you get everything counted it turns out you have 361 total nickels, dimes, and quarters worth a total of $41.45. You think is is odd that you have exactly twice as many dimes as quarters. Find the number of each coin. Number of Nickels: Number of Dimes: Number of Quarters:
Answers
Answer:
x = number of nickels = 127
y = number of dimes = 156
z = number of quarters = 78
Step-by-step explanation:
Let
x = number of nickels
y = number of dimes
z = number of quarters
Total worth of the coins = $41.45
Total number of coins = 361
x + y + z = 361 (1)
dime = $0.1,
nickel = $0.05
quarter = $0.25
0.05x + 0.1y + 0.25z = 41.45 (2)
twice as many dimes as quarters.
y = 2z
Substitute y = 2z into (1) and (2)
x + 2z + z = 361
0.05x + 0.1(2z) + 0.25z = 41.45
x + 3z = 361
0.05x + 0.2z + 0.25z = 41.45
x + 3z = 361 (3)
0.05x + 0.45z = 41.45 (4)
Multiply (4) by 20
x + 3z = 361 (3)
x + 9z = 829 (5)
Subtract (3) from (5)
9z - 3z = 829 - 361
6z = 468
Divide both sides by 6
z = 468 / 6
= 78
z= 78
Recall,
y = 2z
= 2(78)
= 156
y = 156
Substitute the value of y and z into
x + y + z = 361
x + 156 + 78 = 361
x + 234 = 361
x = 361 - 234
= 127
x= 127
x = number of nickels = 127
y = number of dimes = 156
z = number of quarters = 78
Which is the value of g(−5) if g(x)=3.4x−8?
Answers
The given function :
To find the value of g(5) , we need to substitute (Using substitution property) the value of x= 5 in the above function.
Now, put x= 5 in g(x), we get
help me pls
Find the value of x.
Answers
Answer:
33
Step-by-step explanation:
The bottom angle is a completely straight line, and that means the angle is 180 degrees.
180 - 81 = 99
So, this means 3x = 99. We need to isolate the variable, so we have to divide everything by 3.
x = 33
Answer:
waaait i know how to do this lol ( i feel like this is correct)
x = 33
Step-by-step explanation:
so a line is 180 right?
so make the equation like this
180 = 81 + 3x
now solve for x by doing algebra
(minus both sides by 81)
3x = 99
x = 33
What is the quotient of 3968 divided by 32
Answers
Answer:
124 is your answer to the question
Step-by-step explanation:
Tisha and Dana were both fishing for salmon, and by coincidence, caught the same number of fish this week. Tisha caught salmon in nets that hold 15 15 fish, while Dana caught salmon in nets that hold 18 18 fish. What is the minimum possible number of fish each must have caught?
Answers
Answer:
The minimum number of fish each must have caught is 90 fishes
Step-by-step explanation:
The number of fishes Tisha's net can hold = 15
The number of fishes Dana's net can hold = 18
Let the total number of fishes both Tisha and Dana caught = X
15 × A = 18 × B = X
Therefore, X is the lowest common multiple (LCM) of 15 and 18 given as follows;
15 = 3 × 5
18 = 3 × 6
Therefore, the LCM of 18 and 5 = 3 × 5 × 6 = 90
Which gives, the minimum number of fish each must have caught = 90 fishes.
what would the answer to 4 2/3 - 1 1/3 divided by 2
Answers
Answer:
I believe the answer is 1/2
Step-by-step explanation:
4*3=12+2=14,14/3
1*3=3+1=4
14/3+4/3=18/3 divided by 2=6/3 simplified to 1/2
I got the 6/3 by dividing 18 by 2 and 3 by 1
Answer:
4
Step-by-step explanation:
If you know what Pemdas is then you must do dividing first.
1 1/3 divided by 2 is 2/3. 4 and 2/3 minus 2/3 equals 4.
Hope this helps. :)
There are 24 students in the class. They had the choice to buy supplies from two different stores, Store A and B. Each of them bought 2 binders and 5 notebooks. The students have a total of $420 to spend. Part A:
If the unit price of a notebook in Store A is $1. 50, what is the unit price of a binder?
Answers
Find the volume of the cylinder. Either enter an exact answer in terms of or use 3.14 for T. 2 -3 units
Answers
solution -V=πr2h=π·32·2≈56.54867
answer-V≈56.55
Name the quadrant or axis where each point lies.
Answers
Answer:
(-6, -3) => Quadrant III
(0, 3) => y-axis
(5, -4) => Quadrant IV
(-7, 6) => Quadrant II
Step-by-step explanation:
If x and y values given, use this key to find which quadrant the point lies in.
(x , y) =
(+, +) => 1st Quadrant (-, +) => 2nd Quadrant(-, -) => 3rd Quadrant(+, -) => 4th Quadrant(x, 0) => x-axis(0, y) => y-axisThe given points :-
(-6, -3) => Quadrant III(0, 3) => y-axis(5, -4) => Quadrant IV(-7, 6) => Quadrant IIThursday
Evaluate the following expression. Show your
steps.
Step 1: Plug in (substitute)
Step 2: Solve.
3(b + 8); b = 9
Motob
Answers
Answer:
51
Step-by-step explanation:
3(b+8)
3(9+8)
3(17)
51
declan deposits $850 into a savings account that pays 3.4% annual interest compounded quarterly. what will be the balance after 5 years?
Answers
Answer:
the answer should be $994.5
The balance after 5 year comes out to be $3552.80
What is compound interest ?Compound interest is the interest on savings that is computed using both the original principal and the interest accrued over time. It will accelerate the growth of a sum more quickly than simple interest, which is only applied to the principal sum.
Here,
The declan deposits $850 into a savings account that pays 3.4% annual interest compounded quarterly.
Thus rate= 3.4% and principle amount = 850
Therefore it is compounded quartely,
The balance after year=
[tex]C=Pe^{rt}[/tex]
[tex]C= 850 e^{3.5(5)}\\\\C= 850 e^{17.5}[/tex]
C = 3552.80
Therefore, the balance after a year comes out to be $3552.80
Therefore the balance comes out to be after compounded annually is
$3552.50
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what is 700 times 18
Answers
Answer:
12,600
Step-by-step explanation:
Answer:
12,600
Step-by-step explanation:
700 x 18 = 12,600
If f(x) = 5x +40, what is (fx) when x =-5?
a -9
a -8
c 7
d 15
Answers
Answer:
D.
Step-by-step explanation:
f(x) = 5x+40
f(-5) = 5(-5)+40
f(-5) = -25+40
f(-5) = 15
For what values of a are the following expressions true?
| a + 5 | = -5 - a
Answers
Answer:
not sure if there are more but a=-5
Step-by-step explanation:
|a+5|=-5-a
|-5+5|=-5 - - 5
|-5+5| = -5 + 5
| 0 | = 0
0=0
Answer:
5-5=0+5=5 so the answer is five
Hi, can someone answer this for me?
Answers
Step-by-step explanation:
that's for roman I.......
I dont know what the axis of symmetry is...
Answers
Answer:
The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. ... The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .
Step-by-step explanation:
A piece of property has the shape of a right triangle. the longer leg is 10m shorter than twice the length of the shorter leg and the hypotenuse is 20m longer than the length of the longer leg. find the length of the sides of the triangle
Answers
Answer: 80 m, 150 m, 170 m
Step-by-step explanation:
Can someone help me?
Answers
Answer:
14/81
Step-by-step explanation:
you plug in 5 for x
the sum
of the square of two consecutive
odd intergers is
290. Find the integers.
Answers
Answer:
11 & 13 or - 13 & - 11
Step-by-step explanation:
Let the integers are a - 1 and a + 1.
Sum of squares = 290
=> (a - 1)² + (a + 1)² = 290
=> a² + 1² - 2a + a² + 1² + 2a = 290
=> 2a² + 2 = 290
=> 2(a² + 1) = 290
=> a² + 1 = 290/2 = 145
=> a² = 145 - 1 = 144
=> a = ± √144 = ± 12
If a = + 12, numbers are
12 - 1 = 11 & 12 + 1 = 13
If a = - 12, numbers are
- 12- 1 = - 13 & - 12 + 1 = - 11
PLEASE CAN I HAVE HELP
Answers
Answer:
1.28
is the answer :) since the number after 7 is 5 you round up
Answer: 1.28
The 7 is in the hundredth's place, and since there is a 5 after it, we round up.
Sydney bought a new 75" Samsung TV at a 10% decrease on the original price. The sale price was $3. 999. What was the original price (to the nearest cent)?
Answers
Answer:
4.3989
Step-by-step explanation:
bec we will do 3.999 +10% and this should give us the right answer
Plot the points A(-4,-6), B(-10, -10), C(-3, -8) on the coordinate axes below. State the coordinates of point D such that A, B, C, and D would form a parallelogram. (Plotting point D is optional.)
Answers
Check the picture below.
Coordinates of point D of parallelogram = (3 , -4)
What is parallelogram?A parallelogram is quadrilateral in which opposite angles are equal and opposite sides of the quadrilateral are equal and parallel to each other.
The Diagonals in the parallelogram bisect each other.
Given points
A(-4,-6), B(-10, -10), C(-3, -8)
Let the 4th point D = (x , y)
In a parallelogram, diagonals bisect each other.
midpoint of BD = midpoint of AC
If two points are (x₁ , y₁) and (x₂,y₂)
then midpoint = {(x₁+x₂)/2 , (y₁+y₂)/2}
midpoint of AC = {(-4 + -3)/2 , (-6 + -8)/2}
= {-7/2 , -7}
midpoint of BD = {(-10 + x)/2 , (-10 + y)/2}
Now,
midpoint of BD = midpoint of AC
{-7/2 , -7} = {(-10 + x)/2 , (-10 + y)/2}
Comparing both sides
taking x -coordinate
(-10 + x)/2 = -7/2
Multiplying with 2 on both sides
-10 + x = -7
x = 3
taking y -coordinate
(-10 + y)/2 = -7
Multiplying with 2 on both sides
-10 + y = -14
y = -14 + 10
y = -4
Point D (x , y) = (3, -4)
Hence, (3, -4) are the coordinates of point D of parallelogram.
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Find three consecutive even numbers such that five times the smallest number is equal to twice the sum of the other two number
Answers
Answer:
let the integers be n, n+2 and n+4
5(n+4) = 2(n + n+2) +42
5n +20 = 4n +4+42
n = 46 -20 = 26
Step-by-step explanation:
I think
Devin buys 12 candy bars for
$12. He sells them for $1
each. What's wrong with this
scenario?
do
What would
you
differently?
Answers
Find the quotient.
(-6) ÷ (-7)
6/7
-6/7
-42
42
Answers
The two negatives cancel out when we divide or multiply. Think of negative as opposite. Having two opposites cancel.
The slash means fraction and it also means division
6/7 = 6 divided by 7
6/7 = six sevenths
So that allows us to go from fraction to decimal form 6/7 = 0.857 approximately after using your calculator or long division.