1) All angles of a rectangle are right angles, so the measure of angle CBA is 90 degrees.
2) Since all angles of a rectangle are right angles, angle BAD measures 90 degrees. Subtracting the 25 degrees of angle BAW from this, we get that angle CAD has a measure of 65 degrees.
3) Opposite sides of a rectangle are parallel, so by the alternate interior angles theorem, the measure of angle ACD is 25 degrees.
4) Because diagonals of a rectangle are congruent and bisect each other, this means BW=WA. So, since angles opposite equal sides in a triangle (in this case triangle ABW) are equal, the measure of angle ABW is 25 degrees. This means that the measure of angle CBD is 90-25=65 degrees.
5) In triangle AWB, since angles in a triangle add to 180 degrees, angle BWA measures 130 degrees.
6) Once again, since diagonals of a rectangle are congruent and bisect each other, AW=WD. So, the measures of angles WAD and ADW are each 65 degrees. Thus, because angles in a triangle (in this case triangle AWD) add to 180 degrees, the measure of angle AWD is 50 degrees.
Sasha is mailing a photo box that has the dimensions shown in a rectangular box that is 12.5 inches long, 4.2 inches wide, and 12.5 inches tall. If one bag of packing material hold 75 cubic inches of material, of how many bags does Sasha need to buy to fill the space around the photo box?
Answer:
Step-by-step explanation:
i dont know but i need the answer now
Find the value of the triangle shown below
X=
If 1/a=1/b+1/c, find a when b=3 and c=2/3
Answer:
[tex]\frac{1}{a} =\frac{1}{b} +\frac{1}{c} \\ \\\frac{1}{a} = \frac{1}{3} + \frac{1}{2/3} \\\\\frac{1}{a} = \frac{1}{3} + \frac{3}{2}\\\\\frac{1}{a} = \frac{11}{6}\\\\a = \frac{6}{11}[/tex]
The width of the tunnel at ground level is 8 meters and the height of the highest point of the entrance is also 8 meters.
Find the equation of a graph which can accurately model the shape of the tunnel entrance.
(Parabola question!!! pls help)
Answer:
5.7 meterslong and 5.8meters width
Southwest Dry Cleaners believes that it will need new equipment in 6 year. The equipment will cost $26,000. What lump sum should be invested today at 10 percent compounded semiannually, to yield $26,000?
The amount will be equal to $14478.22.
What is compound interest?Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-
A = P (1+R/2)^2t
Where, A = Amount after 6 years = $26,000; P = Amount invested now; R = Annual rate of earning = 10% = 0.06; t = time = 6 years.
Substituting;
[tex]26000 = P(1+\dfrac{0.1}{2})^{2*6}=P(1.7958)[/tex]
Therefore, P = 26000/1.7958 = $14478.22
Thus amount will be equal to $14478.22.
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What divided by 8 to equal 3
Answer: 24
Step-by-step explanation: 24 divided by 8 = 3. Hope this helped.
Solve the following absolute value inequality.
|-x + 215-7
What is the positive absolute value for x?
x > [?]
X = []
<
Step-by-step explanation:
|-x+2|≤-7
-x+2≤-7 or -(-x+2)≤-7
-x≤-9 x-2≥-7
x≥9 x≥-7+2
x≥-5
....
Which shape will result from taking a cross section of the cuboid through the points shown?
pentagon
parallelogram
triangle
hexagon
Answer:
hexagon
Step-by-step explanation:
cross section of the cuboid
This is due soon and I need help with this. I would appreciate it if anyone can help me with it. Thanks :)
The equation of the straight line which has a gradient of -2 and passes through (1, 7) is y = -2x + 9.
How to get the slope-intercept form of a straight line equation?The slope-intercept form of the equation
y = mx +c
Here
m is the slope
c is the y-intercept
To find the slope of a line, we find the rate at which the value of 'y' is increasing as we increase the value of 'x' by one unit.
Substituting the point (1, 7) and m = -2 to determine the y-intercept
y = mx +c
7 = (-2)1 + c
c = 7 + 2
c = 9
Thus, the equation of a line using the slope-intercept form is
y = mx +c
m= -2
c = 9
y = -2x + 9
Therefore, we conclude that the equation of a line using the slope-intercept form is y = -2x + 9.
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What is the volume of the following triangular prism?
780 in 3
900 in 3
450 in 3
180 in 3
Answer:
450 in ^3
Step-by-step explanation:
V=1/4h (to the root)﹣a^4+2(ab)^2+2(ac)^2﹣b^4+2(bc)^2﹣c^4
a-5
b-13
c-12
h-15
so put these numbers into the formula.
You get 450 as your answer.
I hope this helps, have a lovely day.
Find the sum:
6,449
+ 4,836
Answer:
11285
Step-by-step explanation:
Answer:
11,285
Step-by-step explanation:
Line up the numbers so that ther columns add up.
Add the two numbers in the column starting from the right.
The first digit goes to the next column over to the left and the second digit goes directly under the column of the numbers that were added together.
Repeat the steps above till there are no columns left.
Help asap 20 points
select the correct answer.
the table gives the number of bacterial cells in a colony over time.
time (hours) cell population
0 125
2 162
4 258
6 374
8 518
10 763
fit an exponential model to the data. based on this model, what is the best prediction for the number of cells in the colony at 16 hours?
a.
1,200
b.
2,300
c.
1,600
d.
2,700
Answer:
2,300
Step-by-step explanation:
Plato
The best prediction for the number of cells in the colony at 16 hours will be 2300. Then the correct option is B.
What is an exponent?Let a be the initial value and x be the power of the exponent function and b be the increasing factor.
The exponent is given as
y = a(b)ˣ
The table is given below.
Time (hours) Cell population
0 125
2 162
4 258
6 374
8 518
10 763
Then the equations are given as,
125 = a ...1
763 = ab¹⁰ ...2
From equations 1 and 2, then we have
b¹⁰ = 763/125
b² = 6.104
b = 1.2
Then the equation is given as,
y = 125(1.2)ˣ
Then the best prediction for the number of cells in the colony at 16 hours will be
y = 125(1.2)¹⁶
y = 2311.05
y ≈ 2300
The best prediction for the number of cells in the colony at 16 hours will be 2300. Then the correct option is B.
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Find c. Select the letter of the solution.
Answer:
that would be B
Step-by-step explanation:
The graph shows the distance, y, in miles, of a moving motorboat from an island for a certain amount of time, x, in hours:
A graph titled Distance Vs Time is shown, with Time in hours labeled on x axis and Distance from Island in miles labeled on y axis. The scale on the x axis shows the numbers 1, 2, 3, 4, 5, 6, 7, and the scale on the y axis shows the numbers 0, 22, 44, 66, 88, 110, 132, 154, 176, 198. The graph shows a straight line joining the ordered pairs 0, 22, and 1, 66, and 2, 110, and 3, 154, and 4, 198.
What is the speed of the motorboat?
198 miles per hour
22 miles per hour
44 miles per hour
66 miles per hour
Using linear function concepts, it is found that the speed of the motorboat is of 22 miles per hour.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, each second, the position increased by 22, hence the slope is of 22. Since velocity is the distance divided by the time, which in this problem is the slope, the speed of the motorboat is of 22 miles per hour.
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What is the completely factored form of x2 – 16xy 64y2? xy(x – 16 64y) xy(x 16 64y) (x – 8y)(x – 8y) (x 8y)(x 8y)
The complete factored form of the quadratic expression is (x-8y)(x-8y)
Factorizing quadratic expressionQuadratic expressions are expressions that has a leading degree of 2
Given the expression
x^2 – 16xy + 64y^2
Factorize
x^2 - 8xy - 8xy + 64y^2
Group
(x^2 - 8xy) - (8xy + 64y^2)
x(x-8y) - 8y(x - 8y)
Since (x-8y) is common, hence;
x^2 - 8xy - 8xy + 64y^2 = (x-8y)(x-8y)
The complete factored form of the quadratic expression is (x-8y)(x-8y)
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Answer: c on edg
Step-by-step explanation:
The slope of the line that passes through points (3,−2) and (3,10) is Select Choice .
1.0
2.3
3.4
4.undefined
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - -- - - - - - - - - -- - - - - - - - - - - - - -
[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What is the slope of the line passing through points (3, -2) and (3, 10)?
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
We can use the slope formula:-
[tex]\boxed{\displaystyle\frac{y2-y1}{x2-x1}}[/tex]
[tex]\boxed{\frac{10-(-2)}{3-3}}[/tex]
[tex]\boxed{\frac{12}{0}}[/tex]
undefined
Remember, if we divide a number by zero, the result is infinity, and infinity is not a number.
Good luck.
- - -- - - - - - - - - - - - - - - - - - - - - - - - -- - - -- - - - - - - - - - - - - - - - -
Which system of equations is graphed on the coordinates below
Answer:
C
Step-by-step explanation:
Blue line:
[tex](-4, 0), (0, -2) \\m = \frac{\triangle y}{\triangle x} = \frac{0 - (- 2)}{-4 - 0} = \frac{2}{-4} = -\frac{1}{2}\\\text{y-intercept (c) is when x = 0}\\x = 0 \rightarrow y = -2\\y = mx + c\\y = -\frac{1}{2}x - 2\\2y = -x - 4\\x + 2y = -4[/tex]
Red line:
[tex](5, 0), (0, -5) \\m = \frac{\triangle y}{\triangle x} = \frac{0 - (- 5)}{5 - 0} = \frac{5}{5} = 1\\\text{y-intercept (c) is when x = 0}\\x = 0 \rightarrow y = -5\\y = mx + c\\y = 1x - 5\\y - x = -5\\-y + x = 5\\x - y = 5[/tex]
please answer question below asap!!
Answer: I hope this helps!:)
Step-by-step explanation:
If 12 is the mean score of the following set of numbers:12,10,x,8,10,find the value of x.
A.12
B.15
C.20
D.40
E.60
Answer:
C.20
Step-by-step explanation:
12+10+8+10+20=60
60/5=12
(5 is the number of numbers, 12,10,8,10,20)
can someone help me with this? Thank you!
Answer:
12.56 m²
Step-by-step explanation:
Given,
π = 3.14
d = 4m
To find : A
Formulas : -
1 ) r = d/2
2 ) A = πr²
r = 4 / 2 = 2m
A = πr²
= 3.14 x 2²
= 3.14 x 2 x 2
A = 12.56 m²
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
[tex]\qquad \sf \dashrightarrow \: a = \pi {r}^{2} [/tex]
r = d/2 = 4/2 = 2 m[tex]\qquad \sf \dashrightarrow \: a = 3.14 \times {2}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: a = 3.14 \times {4}^{} [/tex]
[tex]\qquad \sf \dashrightarrow \: a = 12.56 \: \: m {}^{2} [/tex]
Write the equation of a circle in the xy-plane with center (0, 2) and a radius with endpoint (⅓ , 4).
Answer:
Step-by-step explanation:
The scale of this map is 1 inch = 50 miles. How many miles is it between Milwaukee and Muskegon? Assume that the distance between Milwaukee and Muskegon is 1.5 inches.
[tex]\huge\color{pink}\boxed{\colorbox{Black}{♔︎Answer♔︎}}[/tex]
75 miles
Step-by-step explanation:
On map
The distance between Milwaukee and Muskegon is 1.5 inches
While in real
1 inch = 50 miles
So the actual distance will be
1.5 × 50
75 miles
Answer:
75 miles
Explanation:
Here map to actual to scale: 1 inch = 50 miles
On map distance: 1.5 inchesTo find actual distance, simply multiply map distance by scale factor
Actual Distance : 1.5 × 50 = 75 miles
Determine whether or not f is a conservative vector field 3x^2 -5y^2
The given vector Field f(x,y)= [tex]3x^{2} - 5y^{2}[/tex] is not Conservative.
What is Conservative Vector Field?A conservative vector field is a vector field that is the gradient of some function.
The integral is independent of the path that C takes going from its starting point to its ending point.
We know that , the function F conservative if
[tex]\frac{ dP}{dy}[/tex] = [tex]\frac{dQ}{dx}[/tex]
If we prove opposite of this then the function F is not conservative
We have given function , f(x,y)= [tex]3x^{2} - 5y^{2}[/tex]
let P(x,y) = [tex]3x^{2} - 5y^{2}[/tex] and Q (x,y) =0
Now, [tex]\frac{dP}{dy}[/tex] = -10y
and, [tex]\frac{dQ}{dx}[/tex] = 0
Since [tex]\frac{dP}{dy}[/tex] ≠ [tex]\frac{dQ}{dx}[/tex]
Hence, the field is not conservative.
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Please help me. And please don't ask me anything if it is not related to the question
Answer:
A sclane triangle
Step-by-step explanation:
because none if its side are the same
What is the value of log279?
-3/2, -2/3, 2/3, 3/2
Answer:
2/3
Step-by-step explanation:
log27(9)
Factor the number: 27=3³
= log3³(9)
Apply log rule: loga^b(x) - 1/b loga(x).
log3³(9) =1/3 log3³(9)
=1/3 log3³(9)
Factor the number: 9=3²
=1/3 log3³(3²)
Apply log rule: loga(a^b) =b
log3 (3²) =2
1/3×2
=2/3
What is the volume of one rubber ball? round to the nearest hundredth of a centimeter. cm3 if the price of the rubber needed to produce a ball is $0. 0045/cm3, what is the cost of producing one ball? round to the nearest cent. $ if the company sells a ball for $0. 50, how much profit will it make on each ball? $.
The cost of producing one ball will be $ 0.09261. Then the profit will be if each ball is $ 0.41.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A toy company produces rubber balls that have a radius of 1. 7 cm.
A sphere has a radius of 1. 7 centimeters.
Then the volume of the ball will be
Volume = 4/3 x π x r³
Volume = 4/3 x π x 1.7³
Volume = 20.58 cubic cm
If the price of the rubber needed to produce a ball is $0.0045/cm³.
Then the cost of producing one ball will be
→ 20.58 x 0.0045
→ $ 0.09261
If the company sells a ball for $0.50. Then the profit will be
Profit = 0.50 - 0.09261
Profit = $ 0.41
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3+[tex]3+\sqrt{2}/4\sqrt{2}+2[/tex]
Alfonso uses a payroll deduction to deposit $120 into his
savings account each month. How much will he save in a year?
Please helppp
Answer:
1,440
Step-by-step explanation:
round 9.50 to the nearest whole number
Answer:
10 because 9.50 is closest to 10 and 5 or higher, you round up.
The area of the figure is __ square units.
Answer:
26
Step-by-step explanation:
First, let's find the area of the box on top. 5*2 is 10. We can see that there is another identical box, so we can multiply the area of one box (10) by 2 to get 20. Now we need to find the middle box. 3*2 is 6. All we have to do now is add all the boxes' areas together. This would be 20+6 (10+10+6), which gives us our answer, 26.
Hope this helps!