Answer:
d
Step-by-step explanation:
using the tangent ration in the left- side right triangle
tan56 = \(\frac{opposite}{adjacent}\) = \(\frac{115}{y}\) ( y represents the adjacent side )
multiply both sides by y
y × tan56° = 115 ( divide both sides by tan56° )
y = \(\frac{115}{tan56}\) ≈ 77.6
--------------------------------
using the tangent ratio in the large outer right triangle
tan35° = \(\frac{opposite}{adjacent}\) = \(\frac{115}{x+y}\) ( multiply both sides by x + y )
(x + y) × tan35° = 115 ( divide both sides by tan35° )
x + y = \(\frac{115}{tan35}\) ≈ 164.2
then
x + 77.6 = 164.2 ( subtract 77.6 from both sides )
x = 86.6
Answer:
Step-by-step explanation:
\(tan \ 56 =\dfrac{opposite \ side }{adjacent \ side}\\\\\\1.4825=\dfrac{115}{y}\\\\y=\dfrac{115}{1.4825}\\\\\\\)
y = 77.6
\(tan \ 35 =\dfrac{115}{x+77.6}\\\\0.7*(x +77.6) =115\\\\x + 77.6 =\dfrac{115}{0.7}\\\\\)
x + 77 .57 = 164.2
x = 164.2 - 77.6
x = 86.6
I NEED H E L P !!
...please
Answer:
\(6y^3z(8x^4yz^3-3)\)
Step-by-step explanation:
Factor-\((-18y^3)(z)+48x^4y^4z^448x^4y^4z^4-18y^3z=6y^3z(8x^4yz^3-3)\)
Urgent Help. The circle shown above has a radius of 5 units
Area enclosed in \( 2\pi\) radians =$\pi r^2$
so area enclosed in $\theta$ radians=$\theta \times \frac{\pi r^2}{2\pi}= \frac{1}2\theta r^2$
does this answer your question?
===================================================
Explanation:
2pi radians is equal to 360 degrees.
The shaded region has a central angle 2pi/5 radians
Divide 2pi/5 over 2pi to end up with 1/5. The "2pi" terms cancel.
The shaded region is 1/5 of the full circle.
The full circle area is pi*r^2 = pi*5^2 = 25pi square units
Taking 1/5 of that leads to (1/5)*25pi = 5pi which is the area of the shaded region.
if a number is added to the numerator of (11)/(35) and twice the number is added to the denominator of (11)/(35), the resulting is equivalent to (1)/(3). find the number
For the statement to happen, the number should be 2.
An algebraic expression is is defined as the combination of numbers and variables in solving a particular mathematical question. Variable, usually letters, are used to denote the unknown quantity.
Let x = number
Based on the information given, add the number to the numerator of 11/35 and add twice the number to the denominator of 11/35, and the result should be equal to 1/3.
Hence, (11 + x) / (35 + 2x) = 1/3.
Simplify and solve for the value of x.
3(11 + x) = (35 + 2x)
33 + 3x = 35 + 2x
3x - 2x = 35 - 33
x = 2
number = 2
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find the area k of triangle ABC WHEN A =19.2 b= 2.05 and c=9.12
Step-by-step explanation:
Area of a triangle= 1/2breadth × height
If 50% of a number is 6o, find 5% of that number.
Answer:
We have, 50% × x = 60
or,
50
100
× x = 60
Multiplying both sides by 100 and dividing both sides by 50,
we have x = 60 ×
100
50
x = 120
If you are using a calculator, simply enter 60×100÷50, which will give you the answer.
Step-by-step explanation:
Who wants to smash some COD 1 on a ps3 in the morning
Answer:
Step-by-step explanation:
Meeee
HELP PLEASEEEEEEEEE I HAVE TO GET THIS DONEEEE
The formula for the perimeter of a rectangle is P=2(l+w).
Solve for w.
Answer:
L
Step-by-step explanation:
Start with:
P=2(l+w)
Divide both sides by 2:
P/2 = l+w
Subtract from both sides:
P/2 - w = l
Mr. Picasso would like to create a small rectangular vegetable garden adjacent to his house. He has 24 ft. of fencing to put around three sides of the garden. Explain why 24 – 2x is an appropriate expression for the length of the garden in feet given that the width of the garden is x ft.
The expression 24 - 2x is suitable for the length of the garden as it accounts for the width and represents the remaining length of fencing available for the garden.
To enclose a rectangular garden, three sides need to be fenced, while one side is already adjacent to Mr. Picasso's house. The remaining three sides will consist of two equal lengths for the width and one length for the length of the garden.
Since the total length of fencing available is 24 ft, the width requires two equal sides, each of length x ft, which amounts to 2x ft. Subtracting this width from the total length of fencing gives us 24 - 2x ft, which represents the remaining length available for the length of the garden.
Therefore, 24 - 2x is an appropriate expression for the length of the garden as it takes into account the already utilized length for the width and represents the remaining length available for the garden's length.
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4x + x + 5-9 + x = -3 - 7 + x
Solve the equation
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3Answer:
Let's solve your equation step-by-step.
4x + x + 5 − 9 + x = −3 − 7 + x
Step 1: Simplify both sides of the equation.
4x + x + 5 − 9 + x = −3 − 7 + x
4x + x + 5 + −9 + x = −3 + −7 + x
( 4x + x + x ) + ( 5 + −9 ) = ( x ) + ( −3 + −7 )
( Combine Like Terms )
6x + −4 = x + −10
6x − 4 = x − 10
Step 2: Subtract x from both sides.
6x − 4 − x = x − 10 − x
5x − 4 = −10
Step 3: Add 4 to both sides.
5x − 4 + 4 = −10 + 4
5x = −6
Step 4: Divide both sides by 5.
5x / 5 = −6 / 5
x= −6 / 5
Answer:
x= −6 / 5
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Gabriella is deciding between two landscaping companies for her place of business. Company A charges $30 per hour and a $225 equipment fee. Company B charges $55 per hour and a $125 equipment fee. Let AA represent the amount Company A would charge for tt hours of landscaping, and let BB represent the amount Company B would charge for tt hours of landscaping. Write an equation for each situation, in terms of t,t, and determine the number hours, t,t, that would make the cost of each company the same.
The number of hours that the cost will be the same is 4 hours.
How to illustrate the equation?From the information illustrated, Gabriella is deciding between two landscaping companies for her place of business.
Company A charges $30 per hour and a $225 equipment fee. Thus will be:
225 + 40h
Company B charges $55 per hour and a $125 equipment fee. This will be:
125 + 55h.
h = number of hours
Collate the equations
225 + 30h = 125 + 55h
Collect like terms
55h - 30h = 225 - 125
25h = 100
Divide
h = 100 / 25
h = 4
The number of hours is 4 hours
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One package of blueberries costs $3. How many packages of blueberries can you buy for $9?
Answer:
3
Step-by-step explanation:
Question 3 of 5
What is the fractional equivalent of the repeating decimal 0.5?
5
O A.
OB.
O C. 1
O D. 1/2
59
9
· It is decided in a competition that the total prize money will be shared between the number of correct entries received. If 5 correct entries are received, each winner will get R170. How much money will each winner get if 8 correct entries are received?
3. (3 pts) Find the general solution of the following homogeneous differential equations. 2xyy' + (x² - y²) = 0
The general solution of the given homogeneous differential equation is:y = ±x√(Cx² + 2)
The given differential equation is: 2xyy' + (x² - y²) = 0
We have to find the general solution of the given homogeneous differential equation. To solve the above differential equation, we will use the substitution method.
Put y = vx and y' = v + xv'
Differentiating both sides w.r.t x: y' = v + xv' ⇒ v' = (y' - v)/x
Differentiating again w.r.t x: y'' = v' + xv'' + v' ⇒ y'' = (y'' - 2y'v + v² + xv')/x
Substituting these values in the given differential equation:
2x(v)(v + xv') + (x² - v²x²) = 0
2v + 2x²v' + x - v² = 0
2x²v' + 2v/x - v³/x = -1/x
We can write the above differential equation as:
2x²dv/dx + 2v/x = v³/x - 1/x
Separating the variables and integrating both sides:
∫dx/x = ∫[v/(v² - 2)]dv/x
⇒ ln |x| + ln |v² - 2| + C
⇒ ln |x(v² - 2)| = ln |Cx|
⇒ v² - 2 = Cx² (where C is a constant)
⇒ v = ±√(Cx² + 2)
Putting the value of v in y = vx, we get:
y = x√(Cx² + 2) and y = -x√(Cx² + 2)
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What is the answer? Please also include step-by-step.
Answer:
61°
Step-by-step explanation:
We have many angles and are asked to find angle number 4.
Looking at the picture, if we take a look at the angle across (mirrored) from 4, we see that it lists being 61 degrees, since that angle is a complete mirror of angle 4. Angle number 4 is 61°
Answer:
the answer is 59
Step-by-step explanation:
a circle is 360 degrees, which means half of a circle is 180. This means the angles that are along ray q must add up to 180. if you add the 2 known angles
60+61
you can subtract that from 180
180 - (60+61)= measure angle 4
180 - 121 = measure angle 4
180 - 121 = 59
A member of the local department of transportation recorded the number of passengers that arrived on flights at the airport based on the month of the year. Some of her data is in the table, where month 1 is January, month 2 is February, and so on.
Month Passengers
1 3,771
2 3,814
5 3,890
7 3,889
10 3,881
If the curve of best fit for the data is y = -5x2 + 60x + 3,715, which is the best prediction of the number of passengers that arrived on flights in April?
A.
3,875
B.
3,895
C.
3,915
D.
5,823
Answer:
The correct option is A,3875 passengers
Step-by-step explanation:
The curve of best fit for the date y=-5x^2+60x+3715
For April which month 4 which means that x is 4
By substituting 4 for x in the equation we can determine y, the number of passengers that arrived on flights at the airport is determined thus.
y=-5*4^2+(60*4)+3715
y=-5*16+240+3715
y=-80+240+3715=3875
The number of passengers that arrived by flights in April, month 4 is 3875
A kitchen can be broken into 2 rectangles. One rectangle has a base of 7 feet and height of 5 feet. The second rectangle has a base of 2 feet and height of 2 feet. One package of tile will cover 3 square feet. How many packages of tile will she need? 8 13 15 39
Answer:
its 13 or B
Step-by-step explanation:
Use the diagram below to classify ABCD. Select all that apply.
Answer please rn
Answer: A and D
Step-by-step explanation: Its obvious.
Answer:
Square
Parallelogram
Step-by-step explanation:
Inner diagonals are all right angles and both diagonals are congruent.
Also, a square must be a parallelogram.
The table shows the postal charges for sending letters to Country Y.
How much does it cost to send a letter weighing 60 grams to
Country Y?
PLS HELP ASAP!!!!
Answer:
$01.70
Step-by-step explanation:
Answer:
it will cost 170 $ total ....
When the first letter of a variable name is uppercase, as in hourlywage, the format is known as?
which city is the oldest
Answer:
St. Augustine
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPP
Answer:
x=25
Step-by-step explanation:
155-(90+65)=x
Answer:
x = 25
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180
The given is a right triangle
which means one of the angle has a measure of 90
so if we add up all the angles
65 + 90 + x = 180 add like terms
155 +x = 180 subtract 155 from both sides
x = 25
Which transformations of Triangle T will produce Triangle U?
dilate by a scale factor of 2 and reflect over
the s-axis
dilate by a scale factor of į and rotate 180°
dilate by a scale factor of , and reflect over
the y-axis
dilate by a scale factor of 2 and translate
down 2 units
Answer:
the right answer would be A: dilate by a scale factor of 2 and reflect over the x-axis
Step-by-step explanation:
you can clearly see the triangle reflect over the axis, not going down by 2 unit. the scale got bigger not smaller so it cant be dilate by a scale factor of 1/2.
have a nice day.
Which of the following is the formula for the volume of a cube? a. s3 b. s2 c. π r2 d. π r3
Answer:
s³Step-by-step explanation:
Which of the following is the formula for the volume of a cube?
a. s³
b. s²
c. π r²
d. π r³
V = s³
2. Determine the points of intersection of each pair of functions. a) y = 4x^– 15x + 20 and y = 5x – 4 = - - b) y = - 2x^ + 9x +9 and y = - 3x – 5
To determine the points of intersection we first equate the expressions, then we solve for x. Once we have the values of x for which the functions are equal we plu them on one of the function to find its corresponding value of y.
a)
Let's equate the functions and solve for x:
\(\begin{gathered} 4x^2-15x+20=5x-4 \\ 4x^2-15x-5x+20+4=0 \\ 4x^2-20x+24=0 \\ 4(x^2-5x+6)=0 \\ x^2-5x+6=0 \\ (x-3)(x-2)=0 \\ \text{ then} \\ x=3 \\ or \\ x=2 \end{gathered}\)Now we find the corresponding values of y for each value of x; to do this we use the second equation.
When x=3:
\(\begin{gathered} y=5(3)-4 \\ y=15-4 \\ y=11 \end{gathered}\)Hence the functions intersect at (3,11)
When x=2:
\(\begin{gathered} y=5(2)-4 \\ y=10-4 \\ y=6 \end{gathered}\)Hence the functions intersect at (2,6)
Therefore the function intersect at the points (3,11) and (2,6).
b)
Let's equate the functions and solve for x:
\(\begin{gathered} -2x^2+9x+9=-3x-5 \\ 2x^2-9x-9-3x-5=0 \\ 2x^2-12x-14=0 \\ 2(x^2-6x-7)=0 \\ x^2-6x-7=0 \\ (x-7)(x+1)=0 \\ \text{ then} \\ x=7 \\ or \\ x=-1 \end{gathered}\)Now we find the corresponding values of y for each value of x; to do this we use the second equation.
When x=7:
\(\begin{gathered} y=-3(7)-5 \\ y=-21-5 \\ y=-26 \end{gathered}\)Hence the functions intersect at (7,-26)
When x=-1:
\(\begin{gathered} y=-3(-1)-5 \\ y=3-5 \\ y=-2 \end{gathered}\)Hence the functions intersect at (-1,-2)
Therefore the function intersect at the points (7,-26) and (-1,-2).
Please answer it now
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▹ Answer
435.20 square cm
▹ Step-by-Step Explanation
Diameter = 12
Radius = 1/2d
Radius = 1/2 * 12
Radius = 6
A = πr(r +√h² + r²) =
A = π · 6·(6 + √16²+6²)
≈ 435.19869 → 435.20 square cm
Hope this helps!
CloutAnswers ❁
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Your friend loans you $20,000 for school. In five years he wants
$40,000 back. What is the interest rate he is charging you?
Remember to show your work.
The interest rate your friend is charging you for the $20,000 loan is 20% per year.
What is the interest rate on the loan?
The simple interest is expressed as;
A = P( 1 + rt )
Where A is accrued amount, P is principal, r is the interest rate and t is time.
Given that;
The Principal P = $20,000
Accrued amount A = $40,000
Elapsed time t = 5 years
Interest rate r =?
Plug these values into the above formula and solve for the interest rate r:
\(A = P( 1 + rt )\\\\r = \frac{1}{t}( \frac{A}{P} -1 ) \\\\r = \frac{1}{5}( \frac{40000}{20000} -1 ) \\\\r = \frac{1}{5}( 2 -1 ) \\\\r = \frac{1}{5}\\\\r = 0.2 \\\\\)
Converting r decimal to R a percentage
Rate R = 0.2 × 100%
Rate r = 20% per year
Therefore, the interest rate is 20% per year.
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Please help it due ASAP
Please show workings
Answer:
FC = 27
QC = 18
Step-by-step explanation:
The centroid divides the median in which it stands into a ratio of 1:2
The longer length being twice of the shorter
So in this case, what we have is that ;
FC = FQ + QC
with QC twice FQ
so QC = 2(9) = 18
while;
FC = 18 + 9 = 27
14) A line has a gradient of -3 and passes through the point (2, 5). Find the equation of the line.
Answer:
y = - 3x + 11
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope ( gradient ) and c the y- intercept )
here m = - 3 , then
y = - 3x + c ← is the partial equation
to find c substitute (2, 5 ) into the partial equation
5 = - 3(2) + c = - 6 + c ( add 6 to both sides )
11 = c
y = - 3x + 11 ← equation of line
Consider a male restroom design with minimum plumbing requirements of 12 water closets and 13 lavatories, which one of the following is closest to the minimum space required with considering urinal substitution? Select one: O a. 222 b. 219 c. 237 d. 249
none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.
To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.
The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.
Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:
Minimum space required for water closets = 12 water closets * 30 inches = 360 inches
Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches
Adding these two values together, we get a total minimum space requirement of 672 inches.
Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.
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