Answer:
[tex]\text{Angle: }48^{\circ},\\\text{Angle's supplement: }132^{\circ}[/tex]
Step-by-step explanation:
Let the angle be [tex]\theta[/tex]. Supplementary angles are angles that add up to [tex]180^{\circ}[/tex]. Therefore, we can set up the following equation:
For some angle [tex]\theta[/tex], the supplement of [tex]\theta[/tex] will be [tex]180-\theta[/tex].
[tex]3\theta=(180-\theta)+12,\\3\theta -12=180-\theta,\\4\theta=192,\\\theta=\frac{192}{4}=\boxed{48^{\circ}}[/tex]
Now solving for the supplement:
[tex]\text{Supplement}=180-\theta=180-48=\boxed{132^{\circ}}[/tex]
what is the area of the cylinder rounded to the nearest whole number
Answer:
the area is 207
Step-by-step explanation:
The equation to solve the area of a cylinder is A=2πrh+2πr^2
The radius is the length from the outside to the center, 6 is the diameter so we could half that to get the radius, 3 and height is 8
A=2*3.14*3*8+2*3.14*3^2
A=6.28*3*8+6.28*9
A=18.84*8+56.52
A=150.72+56.52
A=207.24
207.24 rounded to the nearest whole number is 207 so your area is 207
NEEEEEEEEED HELPPP step by step
Answer:
Step-by-step explanation:
help pls what is he surface area measured in square centimeters, of the shape
below do not include units in your answer
Answer:
Solution given:
l=8cm
b=8cm
h=3cm
now
total surface area=2(lb+bh+lh)
=2(8*8+8*3+8*3)=224cm²
224 cm² is a required volume.
What is the approximate lateral surface area of the cylinder?
9 cm
2 cm
Answer:
138 is closest to the Lateral surface which is 113.097
Step-by-step explanation:
One pipe can fill a tank in 4 hours. A second pipe also requires 4 hours, but a third
needs three hours. How long will it take to fill the tank if all three pipes are open?
Answer:
Step-by-step explanation:
We will use the idea here that the first 2 pipes can get 1/4 of the job done in an hour, and that the third pipe can get 1/3 of the job done in an hour. We need to know then the number of hours it will take to fill the tank if all 3 work together. The equation looks like this:
[tex]\frac{1}{4}+ \frac{1}{4}+ \frac{1}{3}= \frac{1}{x}[/tex] Now we find a common denominator and solve for x. The common denominator is 12x. Multiplying everything by 12 x gives us
3x + 3x + 4x = 12 and
10x = 12 so
x = 1.2 hours
Answer:
1.2 hours
Step-by-step explanation:
we need to see how much each pipes does in the same amount of time
The least common multiple of 3 hours and 4 hours is 12 hours
In 12 hours:
Pipe 1 at 4 hours to fill a tank fills 3 tanks
Pipe 2 at 4 hours to fill a tank fills 3 tanks
Pipe 3 at 3 hours to fill a tank fills 4 tanks
All three pipes can fill 10 tanks in 12 hours
12 hours/10 tanks = 1.2 hours to fill one tank
-------------------------
Doing just the math
1/4 + 1/4 + 1/3 = x
3/12 + 3/12 + 4/12 = 10tanks/12 hours
12hours/10tanks = 1.2 hours
Question 10 (2 points)
A square table 4 feet on each side has two drop leaves, each a semicircle 4 feet in diameter.
Find the area of the table with and without the drop leaves.
1) With Drop Leaves (Semicircles are attached to table) =
ft. 2
2) Without Drop Leaves (Semicircles are not attached to table)
ft 2
4 ft
|4ft
Answer:
Area of table with leaf = 28.56 feet²
Area of table without leaf = 16 feet²
Step-by-step explanation:
Given:
Side of square table = 4 feet
Diameter of side leaf = 4 feet
Number of semicircle leaf = 2
Find:
Area of table without leaf
Area of table with leaf
Computation:
Area of square = Side x Side
Area of table without leaf = 4 x 4
Area of table without leaf = 16 feet²
Radius of side leaf = Diameter of side leaf / 2
Radius of side leaf = 4 / 2
Radius of side leaf = 2 feet
Area of table with leaf = Area of table without leaf + 2[πr²/2]
Area of table with leaf = 16+ 2[πr²/2]
Area of table with leaf = 16+ (3.14)(2)²
Area of table with leaf = 16+ (3.14)(4)
Area of table with leaf = 16+ 12.56
Area of table with leaf = 28.56 feet²
I really need help please!!
How many proper subsets does the set T = {i, c, j, e} have?
Does anyone know how to
Solve this
Answer:
53.4 cm^2
Step-by-step explanation:
rhombus's have the same formula as a square (B*H)
8.9*6 = 53.4 cm^2
Find the volume of the pyramid. v=
Answer:
240 mi^3
Step-by-step explanation:
Base area = length x width = 10 x 8 = 80 mi^2
V = (base area x height)/3 = (80 x 9)/3 = 240 mi^3
what shapes have 2 pairs of parallel sides? Choose all that arw correct.
Answer:
can we see the options please
What is the area of the figure? A 80 square inches 88 square inches C. 96 square inches D. 120 square inches
Answer:
88
Step-by-step explanation:
The table below shows the relationship between C, the cost in dollars of a piece of gold, and W, its weight in ounces.
Cost of Gold Based on Weight
Cost (C ) in
Dollars Weight (W ) in
Ounces
7,200 12
13,200 22
19,200 32
Which equation could be used to determine the cost of a piece of gold of any weight?
(any links, or incorrect answers will be reported and banned)
Answer:
Solution given:
12 Ouches =$7200
per Ouches =$7200/6=$600
So
the required equation for the cost of any weight of gold is:
C.
600W=C is a required equation.
Answer:
600W=C
Step-by-step explanation:
.......................
what is the range of 0 and 8
Answer:
8
Step-by-step explanation:
range=highest number - lowest number
=8 - 0
=8
(5-^2)-^4 PLEASE TELL ME EHSY THIS IS
390625
^if that’s what you meant in the picture cause your question was confusing
What is the value of (5 2– 10) ÷ 5 × 2 3 ?
CORRECT ANSWER PLEASE?!!
Answer:
210
Step-by-step explanation:
(52-10)
42÷5
8.4×25=210
Answer:
BEODMASS
( 52 - 10 ) ÷ 5 × 23
42÷5 ×23
8.4 x 23
193.2
A polynomial function has a root of -3 with multiplicity 2, a root of 0 with multiplicity 1, a root of 1 with multiplicity 1, and a root of 3 with multiplicity 2. If the function has a positive leading coefficient and is of even degree, which could be the graph of the function?
Answer:
see uploaded image
Step-by-step explanation: 5 30 10 04
x(x+3)²(x-1)(x-3)²
I attached my guess, since I don't see any graphs.
NOTE the x axis scale change on my submission.
Only option A graph matches the features of this polynomial. Therefore, option A is the correct answer.
What is a polynomial function?A polynomial is an equation with many terms whose leading term is the highest exponent known as a degree. The degree or exponent tells how many roots exist. These roots are the x-intercepts.
This polynomial has roots -3, 0, 1, and 3. This means the graph must touch or cross through the x-axis at these x-values. What determines if it crosses the x-axis or if the simple touch it and bounces back? The even or odd multiplicity - how many times the root occurs.
In this polynomial:
Root -3 has an even multiplicity of 2 so it only touches and does not cross through.
Root 0 has an odd multiplicity of 1 so crosses through.
Root 1 has an odd multiplicity of 1 so crosses through.
Root 3 has an even multiplicity of 3 so it only touches and does not cross through.
Knowing this, only the first and second graphs are possible answers.
Lastly, what determines the facing of the graph (up or down) is the leading coefficient. If positive, the graph ends point up. If negative, the graph ends and points down. All even degree graphs will have this shape.
Only option A graph matches the features of this polynomial. Therefore, option A is the correct answer.
To learn more about the polynomial function visit:
https://brainly.com/question/12976257.
#SPJ6
solve these equations, show all your work x/2=20
Answer:
x = 40
Step-by-step explanation:
x/2 = 20
x/2(2) = 20(2)
x = 40
Write a quadratic function h whose zeros are 1 and 4
Answer:
x² - 5x + 4
Step-by-step explanation:
work backwards from knowing zeros to writing factors, then use foil method
(x - 1)(x - 4)
x² - 4x - 1x + 4
x² - 5x + 4
S(x)=5x+5
T(x)=_3x +4
The value of t(s(2))
Answer:
Step-by-step explanation:
This is a composite function, in which we will first evaluate the s function at a value of 2, then we will use that value in the t function.
s(2) = 5(2)+ 5 so
s(2) = 15. Now we evaluate the t function at 15:
t(15) = 3(15) + 4 so
t(15) = 49
38°
24 in
A restaurant owner plans to install this bicycle rack in front of her restaurant. In order to meet city safety requirements, the base
of the bicycle rack cannot exceed 20 inches so as to not obstruct pedestrians. Will this bicycle rack be approved by the city?
Answer:
39
Step-by-step explanation:
Yes, the base of the bicycle rack measures about 15 inches.
Whta is the sin angle?The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.
A restaurant owner plans to install this bicycle rack in front of her restaurant.
In order to meet city safety requirements, the base of the bicycle rack cannot exceed 20 inches so as to not obstruct pedestrians.
The base of the bicycle is ;
In the right angle triangle;
[tex]\rm = sin38 \times 24\\\\ =0.61 \times 24\\\\=14.77[/tex]
Yes, the base of the bicycle rack measures about 15 inches.
Hence, Yes, the base of the bicycle rack measures about 15 inches.
Learn more about sin angle here;
https://brainly.com/question/18597026
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HELP QUICK ROUND EACH VALUE TO THE NEAREST TENTH
For what values of x and y is PQRS a parallelogram?
Answer:
x = 3
y = 2
Step-by-step explanation:
GIVEN :-
PQ = 2y + 3QR = 4y + 1RS = y + 5PS = 4x - 3TO FIND :-
The values of x & y for which PQRS will be a parallelogramFACTS TO KNOW BEFORE SOLVING :-
In a parallelogram , pair of opposite sides are always equal in length.
SOLUTION :-
PQRS will be a parallelogram only when :-
PQ = RSand PS = QR1) Assume that PQ = RS.
[tex]=> 2y + 3 = y + 5[/tex]
[tex]=> 2y - y = 5 - 3[/tex]
[tex]=> y = 2[/tex]
∴ For y = 2 , PQ = RS.
2) Now, assume that PS = QR.
[tex]=> 4x - 3 = 4y + 1[/tex]
(Put y = 2 in the equation)
[tex]=> 4x - 3 = 4 \times 2 + 1[/tex]
[tex]=> 4x - 3 = 9[/tex]
[tex]=> 4x = 9 + 3 = 12[/tex]
[tex]=> x = \frac{12}{4} = 3[/tex]
∴ For x = 3 , PS = QR.
CONCLUSION :-
For x = 3 & y = 2 , PQRS is a parallelogram.
A marketing research company desires to know the mean consumption of milk per week among people over age 31. A sample of 343 people over age 31 was drawn and the mean milk consumption was 4.4 liters. Assume that the population standard deviation is known to be 0.9 liters. Construct the 90% confidence interval for the mean consumption of milk among people over age 31. Round your answers to one decimal place.
Answer:
(4.3 ; 4.5)
Step-by-step explanation:
Given :
Sample size, n = 343
Sample Mean, xbar = 4.4
Standard deviation, σ = 0.9
Zcritical at 90%
Using the relation :
Xbar ± Margin of error
Margin of Error = Zcritical * σ/√n
Margin of Error = 1.645 * (0.9/√343)
Margin of Error = 0.0799394
Lower boundary = 4.4 - 0.0799394 = 4.320
Upper boundary = 4.4 + 0.0799394 = 4.480
(4.320 ; 4.480)
Solve the simultaneous equation
2x-3y =8 x+3y=14
Use elimination method....
Answer:
x = 22/3 y = 20/9
Step-by-step explanation:
2x-3y =8 x+3y=14
Add the two equations together to eliminate y
2x-3y =8
x+3y=14
-------------
3x +0y = 22
Divide each side by 3
3x/3 = 22/3
x = 22/3
Then take the second equation and multiply by -2 and add to eliminate x
2x-3y =8
-2x-6y=-28
----------------------
-9y = -20
Divide by -9
-9y/-9 = -20/-9
y = 20/9
x = 22/3 y = 20/9
Find the equation of the linear function represented by the table below in slope-
intercept form.
9514 1404 393
Answer:
y = -4x -2
Step-by-step explanation:
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (-10 -10)/(2 -(-3)) = -20/5 = -4
__
The y-intercept is given by ...
b = y1 -m(x1)
b = 10 -(-4)(-3) = 10 -12 = -2
Then the slope-intercept equation is ...
y = mx +b
y = -4x -2
In ΔWXY, the measure of ∠Y=90°, YX = 40, XW = 41, and WY = 9. What ratio represents the cosine of ∠W?
Answer:
[tex]\cos{W} = \frac{9}{41}[/tex]
Step-by-step explanation:
Cosine of an angle:
The cosine of an angle, in a right triangle, is the length of the side adjacent to this angle divided by the hypotenuse.
Length of the largest side:
The length of the largest side is 41, that is, the hypotenuse is 41. The hypotenuse is XW.
WY = 9.
This means that the length of the adjacent side to angle W is 9.
What ratio represents the cosine of ∠W?
Adjacent side has length 9, hypotenuse has length 41. So
[tex]\cos{W} = \frac{9}{41}[/tex]
How does the graph of the function g(x)=2^x-4 differ from the graph of f(x)=2^x
Answer:
The graph of g(x) is the graph of f(x) moved down 4 units.
Step-by-step explanation:
Subtracting a function by a constant:
Subtracting a function by a constant x is the same as moving the function down x units.
In this question:
[tex]f(x) = 2^x[/tex]
[tex]g(x) = 2^x - 4[/tex]
Thus, the graph of g(x) is the graph of f(x) moved down 4 units.
Please help me. 20 POINTS
Answer:
could you please also post what the choosing options are and then ill edit this and do it again
Step-by-step explanation:
ANSWER PLEASE i need help i will mark brainliest
Answer:
let the two no. be x and y.
their sum
x+y=-11
x=-11-y.....[I]
and difference
x-y=41
x=41+y......[ii]
equating equation I and ii
we get
-11-y=41+y
-11-41=y+y
-52=2y
y=-52/2
y=-26
now
substituting value of y in equation I.
we get
x=-11-(-26)=-11+26=15
The two no. is 15 and -26.