Answer:
length = 48 feet , width = 32 feet
Step-by-step explanation:
Using
2W + 2L = 160 with W = L - 16 , then
2(L - 16) + 2L = 160 ← distribute and simplify left side
2L - 32 + 2L = 160
4L - 32 = 160 ( add 32 to both sides )
4L = 192 ( divide both sides by 4 )
L = 48
Substitute L = 48 into W = L - 16
W = 48 - 16 = 32
Thus length = 48 feet and width = 32 feet
Answer:
l = 48 cm
w = 32 cm
Step-by-step explanation:
length = l
Width w= l - 16
Perimeter = 160 ft
2*(l + w) = 160
2*(l + l -16) = 160
2*(2l - 16) = 160
Use distributive property
2*2l - 2*16 = 160
4l - 32 = 160 {add 32 to both sides}
4l = 160 + 32
4l = 192 {Divide both sides by 4}
l = 192/4
l = 48 cm
W = 48 - 16 = 32 cm
If angle DCA measures 65 degrees, then angle ACB measures _____ degrees.
90
25
65
DCB form a right angle which is 90 degrees.
The two inside angles need to equal 90
ACB = 90-65 = 25
Answer: 25
Answer:
25
Step-by-step explanation:
its correct
HELP PLEAAASEEEEE
Can someone find the domain and range of this function PLEASE
y = 2/x + 3
Answer:
The domain is the whole R-{0} and the range is R
Planes X and Yand points J, K, L, M, and N are shown.
Exactly how many planes contain points J, K, and N?
X
O 0
O 1
O 2
03
K
Υ
2
.M
.N
Answer:
0
Step-by-step explanation:
0
Number planes contain points J, K and N is 0. Therefore, option A is the correct answer.
What is a plane?A plane in geometry is a level surface that never ends. Other names for it include a two-dimensional surface. A plane has an unlimited width, an endless length, zero thickness, and no curvature.
Given that, X and Y are planes.
In the given figure, point J lies outside the X and Y planes.
Points K and N are lies on plane X.
So, J, K and N are not lying in the same plane.
Therefore, option A is the correct answer.
Learn more about the coordinate plane here:
https://brainly.com/question/24134413.
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Find the missing side of triangle
Answer:
30.
Step-by-step explanation:
x^2 = 24^2 + 18^2
x^2 = 576 + 324 = 900
x = sqrt900 = 30.
llean works as a welder in web designer as a welder she earns $18 per hour last week she works x hours as a wlder and her Fran paid her $75 to design a webpage.write an expression to represent the total amount llean earned last week
Express 4 in simplest radical form.
Answer:
2
Step-by-step explanation:
evaluate expression: evaluate each expression when a = "-2" b=4 and c=-10
2a+b
ac-b
a+b/a
8a+5b
-4a-b
3c/-5
Answer:
2a+b=0
ac-b=16
a+b/a=-4
8a+5b=-4
-4a-b =4
3c/-5=6
The revenue, in dollars, of a company that manufactures televisions can be modeled by the polynomial 3x²+180x . The cost, in dollars of producing the televisions can be modeled by 3x² - 160x +300. The variable x is the number of televisions sold. If 150 televisions are sold, what is the profit?
We use the profit concept, and doing this, it is found that if 150 televisions are sold, the profit is $50,700.
-------------------------------------------
Profit is given by revenue subtracted by cost.
In this question:
Revenue: [tex]R(x) = 3x^2 + 180x[/tex]Cost: [tex]C(x) = 3x^2 - 160x + 300[/tex]Thus, the profit of selling x televisions is:
[tex]P(x) = R(x) - C(x)[/tex]
[tex]P(x) = 3x^2 + 180x - (3x^2 - 160x + 300)[/tex]
[tex]P(x) = 3x^2 + 180x - 3x^2 + 160x - 300[/tex]
[tex]P(x) = 340x - 300[/tex]
-------------------------------------------
For 150 televisions, we have P(150), so:
[tex]P(150) = 340(150) - 300 = 50700[/tex]
If 150 televisions are sold, the profit is $50,700.
A similar question is given at https://brainly.com/question/14469903
if a = 4 b = 5 find the value of a^2+ab^2+y^2
Answer:
121
Step-by-step explanation:
Given,
a = 4
b = 5
a² + ab² + b²
= 4² + 5 x 4² + 5²
= 16 + 80 + 25
= 121
Find the surface areas of each figure. Round your answers to the nearest tenth, if necessary
Answer:
345.6 mi^2
Step-by-step explanation:
S.A = 2πrh+2πr^2
= 2π(5)(6) + 2π(5)^2
= 345.6 mi^2
Answered by G a u t h m a t h
hurry up pls!!! i need some help quick fast plssss!!!!
Answer:
45
Step-by-step explanation:
9 x 5 = 45
it's a multiplication question
On a 100 cm measuring stick, marks are made at 19, N, and 99 cm, from left to right. The distance between the marks at N and 99 cm is three times the distance between the marks at N and 19 cm. What number is N?
HELP IM STUCK
Answer:
N is 39
Step-by-step explanation:
The distance between 99 and 19 is:
99 - 19 = 80
So, you can split the stick in 4 parts, one part between 19 and N, and 3 times this same part you'll have the distance between N and 99
So 80/4 = 20
19 + 20 = 39
N is 39
(2.75 x 107) + (1.23 x 108) simplify
Answer:
427.09
Step-by-step explanation:
(2.75 x 107) + (1.23 x 108)
294.25 + 132.84 = 427.09
what is the total cost
Answer:
u watch Naruto
Step-by-step explanation:
.....................,....,...
What is the tenth term in the sequence 9, 13, 17, 21, 25…?
A. 29
B. 35
C. 45
D. 49
Answer:
45
Step-by-step explanation:
9, 13, 17, 21, 25
We are adding 4 each time
9+4 = 13
13+4 =17
17+4 = 21
The common difference =4
a1 = 9
The formula is
an = a1+d(n-1) where n is the term number
an = 9+4(n-1)
We want the 10th term
a10 = 9+4(10-1)
= 9+4(9)
= 9+36
= 45
Need answer asap algebra 2 math
Answer:
B
Step-by-step explanation:
f(x) = 2x^2 - 4x + 5 Put brackets around the first 2 terms.
f(x) = (2x^2 - 4x) + 5 Take out the common factor of 2
f(x) = 2(x^2 - 2x) + 5 1/2 the second term and square.
f(x) = 2(x^2 -2x + (2/2)^2) + 5 Express brackets as a perfect square.
f(x) = 2(x - 1)^2 + 5 Multiply 2 * 1 (the term without an x. Subtract.
f(x) = 2(x - 1)^2 + 5 - 2 Combine
f(x) = 2(x - 1)^2 + 3
Select the best answer to describe the parabola
Answer:
B
Step-by-step explanation:
It opens downwards, so the parabola is negative. This also means the vertex of the parabola is the highest point, therefore it is a maximum.
What is the value of l n e Superscript 4
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
what is meant by derivative
Answer:
its basically just rate of change or slope. with derivatoves you can find the slope of a tangent line which is a line that touches the curve at a point.
The graph below could be the graph of which exponential function?
Answer:
B
Step-by-step explanation:
Help me with this pls IM FAILING PYTHAGOREAN THEOREM
Answer: 33
Work Shown:
Apply the pythagorean theorem to get
[tex]a^2 + b^2 = c^2\\\\x^2 + 44^2 = 55^2\\\\x^2 + 1936 = 3025\\\\x^2 = 3025 - 1936\\\\x^2 = 1089\\\\x = 33[/tex]
Please answer before 2:30!!!
There are 189 apples in a basket. How many children can share them equally?
List all numbers that apply.
For the equal distribution each child can take either 1 or 3 or 7 or 9 or 21 or 27 or 63 or 189 apple.
What is equal distribution?
The distribution of a something in a way that each will get same amount.
How 189 can be divided equally?
If the distribution is equally then each child should take, either 1 or 2 or 3 an so on means same amount.
For this we will check that 189 is divisible by which numbers.
Now we can see that 189 is divisible by 1, 3, 7, 9, 21, 27, 63, 189. It is clear that each child can take either 1 or 3 or 7 or 9 or 21 or 27 or 63 or 189 apple then the distribution will be equal means every child will have same amount of apple.
Therefore, the correct answer is 1, 3, 7, 9, 21, 27, 63, 189.
Learn more: https://brainly.ph/question/4734029
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Help find the equivalent fraction with the correct steps please !
-2/5 x 6/-1 ÷ 5/-2
What’s the equivalent fraction ? Please help! Tysm (:
Answer:
: = ÷
[tex]\frac{-2}{5}*\frac{6}{-1} : \frac{5}{-2} = \frac{-12}{-5} : \frac{5}{-2} = \frac{12}{5}*\frac{-2}{5}=\frac{-24}{25}[/tex]
An equivalent fraction is -24 over 25.
three consecutive even numbers add up to 105 determine the product of the three numbers
Answer:
34 + 35 + 36 = 105
Step-by-step explanation:
What describes the correct way to convert minutes to an hour
Answer:
Yo mean correct way??
yo can divide minute by 60 to convert minute into hour
For example
To convert 10 minute into hour. then we should divide 10 by 60. 10/60
Answer:
In any conversion you have to establish ratios (or rates) for the different units being converted.
The process will be performed by a series of multiplications that will cancel out the "unwanted" units.
multiplication by one (1) does not change the value in an equation.
you have to multiply by a "series of ones" that take into account the units being converted..
for example
1 minute/60 seconds or 1 inch = 2.54 cm or 1 day = 24 hours
in your problem you have minutes... lets say you have 100 minutes
100 minutes * 1 hour minutes cancel and you have 100/60 = 1 [tex]\frac{2}{3}[/tex] hrs
60 minutes
Step-by-step explanation:
The sporting goods store sells 6 different brands of tennis rackets and 4 different brands of tennis balls. If Amanda buys one brand of tennis racket and one brand of tennis balls, how many different combinations of brands can she buy ?
10
12
16
24
Answer:
24
Step-by-step explanation:
There are 6 different types of rackets and 4 different types of balls.
To determine the number of different combinations
6 rackets * 4 balls
24 combinations
Answer:
24
Step-by-step explanation:
A room is twice as long as it is broad and its height is 8 m. if the cost of painting its walls at Rs. 20 per m² is Rs 9600 , find the cost of carpeting its floor at Rs. 400 per m²
let breadth be X
length = 2x
height = 8m
rate of painting the four wall= 20/m^2
cost of painting=9600
Area of four wall= cost of painting / rate
= 9600/20
= 480m^2
again,
Area of four wall = 2 h(l+b)
or, 480=2×8(X+2x)
or, 480/16=3x
or, 30/3=X
or, X= 10m
again,
2x= 2×10m=20m
again,
Area of floor = length × breadth
= 20×10
=200m^2
again,
rate of carpeting the floor= 400/m^2
cost of carpeting the floor = rate × area
= 400× 200
= Rs. 80000
I don’t understand how to find the height
Answer:
height, x is 235 ft
Step-by-step explanation:
From trigonometric ratios:
[tex] \cos( \theta) = \frac{adjacent}{hypotenuse} [/tex]
but:
[tex] \theta = 90 \degree - 36 \degree \\ \theta = 54 \degree[/tex]
adjacent is x
hypotenuse is 400 ft
[tex] \ \cos ( 54 \degree) = \frac{x}{400} \\ \\ x = 400 \ \cos (54 \degree) \\ x = 235 \: \: feet[/tex]
Answer:
[tex]235\ ft[/tex]
Step-by-step explanation:
In this problem, one is given two parallel lines and a few transversals that form a triangle between these parallel lines. The parallel lines, one from the parasailer, and one from the boat have an angle of depression between them. This means the angle of elevation from the boat to the parasailer is also (36) degrees. This is due to the alternate interior angles theorem, which states that when two parallel lines are intersected by a transversal, then the alternate interior angles are congruent.
The triangle formed in this situation is a right triangle, this is indicated by the box around one of the angles. Now that one has found another angle measure in this triangle, one can use right angle trigonometry. Right angle trigonometry is a series of ratios that describe the relationship between the sides and angles of a right triangle. These ratios are as follows:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Please note that the names (opposite) and (adjacent) are subjective, and change relative to the angle one is looking at, however (hypotenuse) refers to the side opposite the right angle. This side doesn't change its name. In this situation, it would be most logical to use the ratio of sine, (sin), as one has the measure of the hypotenuse, and one is trying to find the measure of the side opposite the angle. Substitute the given information into the ratio of (sin) and solve to find the unknown:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]
[tex]sin(36)=\frac{x}{400}[/tex]
Inverse operations,
[tex]sin(36)=\frac{x}{400}[/tex]
[tex]400(sin(36))=x[/tex]
[tex]235.114=x[/tex]
Help asap sorry for the blurry pic
Total mass = 8 kg
Mass of tool 1 = 4 kg
Mass of tool 2 = 2 kg
So,
Total mass = Mass of tool 1 + Mass of tool 2 + Mass of tool 3
=> 8 kg = 4 kg + 2 kg + Mass of tool 3
=> 8 kg = 6 kg + Mass of tool 3
=> 8 kg - 6 kg = Mass of tool 3
=> 2 kg = Mass of tool 3
What is the midpoint of the segment shown below?
10
O A. (-1,-1)
(-11, 0)
O B. (-2, -3)
O C. (-1, -3)
- 10
10
(9,-1)
- 10
D. (-2, -1)
Answer:
(-1,-0.5)
Step-by-step explanation:
Find the solution to this problem by using the midpoint formula which is (x1+x2/2,y1+y2/2) plug in the values of y and x to get -11+9/2+0-1/2. simplify to get the solution of (-1,-0.5)
