Answers:
Problem 7) 25.2 feetProblem 8) Angle = 52 degrees; Distance = 14.3 feetProblem 9) DE = 22, EC = 10, BC = 20=====================================================
Explanation:
The diagrams for problems 7 and 8 are shown below.
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Problem 7
Apply the tangent ratio to find that...
tan(angle) = opposite/adjacent
tan(42) = x/28
28*tan(42) = x
x = 28*tan(42)
x = 25.2113132403396
x = 25.2
Make sure your calculator is in degree mode. One way to check is to type in tan(45) and you should get 1 as a result.
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Problem 8, part 1
To find the angle y, we must use the sine ratio
sin(angle) = opposite/hypotenuse
sin(y) = 18/23
y = arcsin(18/23)
y = 51.5000495907521
y = 52 degrees approximately
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Problem 8, part 2
We can use the pythagorean theorem to find the missing side x
a^2+b^2 = c^2
18^2+x^2 = 23^2
324+x^2 = 529
x^2 = 529-324
x^2 = 205
x = sqrt(205)
x = 14.3178210632763
x = 14.3
Or alternatively, we can apply the tangent ratio on the angle y we found earlier to help find x
tan(angle) = opposite/adjacent
tan(y) = 18/x
tan(51.50004959) = 18/x
x*tan(51.50004959) = 18
x = 18/tan(51.50004959)
x = 14.3178210636621
x = 14.3
------------------------------------
Problem 9
The double tickmarks show that BE = EC = 10. That means BC = BE+EC = 10+10 = 20.
Since we have similar triangles, we can solve for x like so
DE/AC = BE/BC
x/44 = 10/20
20x = 44*10
20x = 440
x = 440/20
x = 22
So DE is 22 units long. Note how this is half as long as the side AC = 44.
What is the slope of the function?
Answer:10
Step-by-step explanation:
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.07 and the probability that the flight will be delayed is 0.12. The probability that it will not rain and the flight will leave on time is 0.87. What is the probability that it is raining if the flight has been delayed? Round your answer to the nearest thousandth.
Answer:
it would be 0.7 got it right when i done it
Step-by-step explanation:
Answer: real answer is 0.278
Step-by-step explanation:
Which shows the expressions in the order they would appear on a number line from least to greatest? 043 140 13 14 9 OM 17. 173. 140.43 04°. 57. 1139 OVAO 113. 17.40
Answer:
[tex]\frac{14}{9}, \sqrt{7}, \sqrt{13}, \sqrt{40}, 4^3[/tex]
Step-by-step explanation:
Given
[tex]4^3, \sqrt{40}, \sqrt{13}, \frac{14}{9}, \sqrt 7[/tex]
Required
Order from least to greatest
First, we solve for each expression
[tex]4^3 = 64[/tex]
[tex]\sqrt{40} = 6.32[/tex]
[tex]\sqrt{13} = 3.61[/tex]
[tex]\frac{14}{9} = 1.56[/tex]
[tex]\sqrt{7} = 2.66[/tex]
From least to greatest, we have:
[tex]1.56, 2.66. 3.61, 6.32, 64[/tex]
Hence, the list is:
[tex]\frac{14}{9}, \sqrt{7}, \sqrt{13}, \sqrt{40}, 4^3[/tex]
3y - 2 = 13 solve for y
Answer:
y = 5
Step-by-step explanation:
3y - 2 = 13
We are solving for y, so we want to isolate it.
Add 2 to both sides.
3y = 15
Continue isolating y by dividing both sides by 3.
y = 5
Check your answer by plugging it back into the original equation.
3y - 2 = 13
3(5) - 2 = 13
Multiply.
15 - 2 = 13
Subtract.
13 = 13
Your answer is correct.
Hope this helps!
Answer:
y = 5
Step-by-step explanation:
Get y by itself:
3y - 2 = 13
+2 +2
3y = 15
Divide by 3:
3y = 13
÷ 3 ÷ 3
y = 5
what is a kite? what are its properties? what is its use in our daily life?
Answer:
Well, in geometry, the properties would be that the angles produced by the intersection of the diagonals are right angles. A kite is basically entertainment, made by cloth and string
A kite is a four sided shape. Like an elongated rectangle.a kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other. In contrast, a parallelogram also has two pairs of equal-length sides, but they are opposite to each other instead of being adjacent. Kite quadrilaterals are named for the wind-blown, flying kites, which often have this shape and which are in turn named for a bird. Kites are also known as deltoids, but the word "deltoid" may also refer to a deltoid curve, an unrelated geometric object.Kites have been used for human flight, military applications, science and meteorology, photography, lifting radio antennas, generating power, aerodynamics experiments, and much more.
Let k ( x ) = 2 x + 3 and m ( x ) = 3 x 2 + 7 x − 10 . Find the indicated value. M ( k ( − 4 ) ) =
Answer: [tex]30[/tex]
Step-by-step explanation:
Given
[tex]k(x)=2x+3[/tex]
[tex]M(x)=3x^2+7x-10[/tex]
[tex]M\left(k(x)\right)[/tex] is given by replacing the [tex]x[/tex] by [tex]k(x)[/tex] from the [tex]M(x)[/tex]
[tex]\Rightarrow M\left(k(x)\right)=3(2x+3)^2+7(2x+3)-10\\\Rightarrow M\left(k(x)\right)=3(4x^2+9+12x)+14x+21-10\\\Rightarrow M\left(k(x)\right)=12x^2+50x+38[/tex]
Now, [tex]M\left(k(-4)\right)[/tex] is
[tex]\Rightarrow M\left(k(-4)\right)=12(-4)^2+50(-4)+38\\\Rightarrow M\left(k(-4)\right)=192-200+38\\\Rightarrow M\left(k(-4)\right)=30[/tex]
Question 8 of 10
Which property of polynomial multiplication says that the product of two
polynomials is always a polynomial?
A. Distributive
B. Addition property of equality
C. Commutative
D. Closure
Answer:
D. Closure
Step-by-step explanation:
D. Closure
The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on the parabola. Which equation can be used to model the image of the lens?
y = (x – 2)(x + 3)
y = (x – 2)(x + 3)
y = (x + 2)(x – 3)
y = (x + 2)(x – 3)
Answer:
[tex]y =-\frac{1}{2}(x +2)(x - 3)[/tex]
Step-by-step explanation:
Given
[tex]x_1 = -2[/tex]
[tex]x_2 = 3[/tex]
[tex](x,y) = (-1,2)[/tex] --- a point on the parabola
Required
The equation
First, calculate the equation from the zeros
[tex]y =k(x - x_1)(x - x_2)[/tex]
Substitute [tex]x_1 = -2[/tex] and [tex]x_2 = 3[/tex]
[tex]y =k(x - -2)(x - 3)[/tex]
[tex]y =k(x +2)(x - 3)[/tex]
To solve for k, we substitute [tex](x,y) = (-1,2)[/tex]
[tex]2 = k(-1+2)(-1-3)[/tex]
[tex]2 = k(1)(-4)[/tex]
[tex]2 = -4k[/tex]
Divide by -4
[tex]k=\frac{2}{-4}[/tex]
[tex]k=-\frac{1}{2}[/tex]
So, the equation is:
[tex]y =k(x +2)(x - 3)[/tex]
[tex]y =-\frac{1}{2}(x +2)(x - 3)[/tex]
Answer:
C
Step-by-step explanation:
Write the equation of the line in slope-intercept form
Answer:
y = 4/1 + 0
Step-by-step explanation:
we rise 4 units up and move 1 unit to the right
and the y intercept is 0 because its exactly in the center of x and y axis
Three sirens wail at intervals of 30 minutes,50 minutes and 30 minutes .If they wail together at 7.18am on Monday .What time and day will they wail together?
What is the slope of the line that contains the points (-2, 5)and (3,-5)?
Answer:
slope = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (3, - 5)
m = [tex]\frac{-5-5}{3-(-2)}[/tex] = [tex]\frac{-10}{3+2}[/tex] = [tex]\frac{-10}{5}[/tex] = - 2
Two companies allow you to pay monthly for your food truck permits. Company A charges a one time fee of $150 and $45 per month. Company B charges a one time fee of $125 and $50 per month. At how many months will the cost be the same for both companies?
Answer:
5 months
Step-by-step explanation:
150 + 45x = 195 240 285 330 375 420
125 + 50x = 175 225 275 325 375 425
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x = 39°
Step-by-step explanation:
51° + 90° = 141°
180° - 141° = x
x = 39°
They often don't label the 90° angle, so watch out for that in the future
Use the following list of balances for Paul's Guitar Shop to answer the following question. Guitar Sales 24,800, Depreciation expense 2,000, Wage expense 10,950, Rent 500, Music Lesson Revenue 3,000, Interest expense 500, Supplies expense 500, Utilities expense 400. What is the TOTAL value of EXPENSES? *
Answer:
The Total Value of Expenses is $14,350
Step-by-step explanation:
AMOUNT
Depreciation Expense $ 2,000
Wage Expense $ 10,950
Interest Expense $ 500
Supplies Expense $ 500
Utility Expense $ 400
TOTAL $ 14,350
Ellus
Find the range of the data.
The ages of people eating
chocolate ice cream at a park.
12, 2, 8, 5, 3, 2,5
Range: [? ]
Enter the number that belongs in the green box.
Answer:
range = 10
Step-by-step explanation:
The range is the difference between the largest and smallest values in the data set.
largest value = 12
smallest value = 2
range = 12 - 2 = 10
Help?,?,?,?.!.??.?.?.?.?.?.
Answer:
Step-by-step explanation:
b(a + 1) + a = b*a + b + a = ab + b + a
1) b(2a +1 ) = b*2a + b*1 = 2ab + b Not equivalent.
2)a + (a +1)*b = a + ab+ b Equivalent
3) (a +1)(b+ a) = a*(b +a) + 1*(b+a) = ab+ a² +b + a Not equivalent.
4) (a + 1)b + a = ab+ b + a Equivalent
5) a + b(a+1) = a +ab + b Equivalent
6) a + (a +1) + b = a + a + 1 + b = 2a + 1 +b Not equivalent.
7) a(b +1) + b = ab + a + b Equivalent
Given that (1,4) is on the graph f(x), find the corresponding points of a function 1/4f(x)
Answer:
(1,1)
Step-by-step explanation:
In the equation f(x), you are plugging in the x coordinate which in this case is one. That means in 1/4f(x), x will remain the same, because you are still plugging in the same thing. What will change is the y coordinate. 1/4f(x) is saying that the y coordinate will be a fourth of the original y coordinate(4). 4 times 1/4 is equal to one.
If the x coordinate stays the same, and the y coordinate is a fourth of 4, the corresponding points in the function f(x) will be (1,1)
Which of the following functions best describes this graph?
A. Y = (x-3)(x + 4)
B. y = x^2-5x +6
C. y = x^2 -9x+18
D. y - (x+3)(x +6)
Answer:
(A). y = ( x - 3 ) ( x + 4 )
Step-by-step explanation:
30. One of the games at a carnival involves trying to ring a bell with a ball by hitting a lever that propels the ball into the air. The height of the ball is modeled by the equation h(t) = -16t2 + 39t. What is the real world or practical domain of this function?
HURRRYYYY I NEED AND ANSWER ***
What percentage of the data values falls between the values of 3 and 24 in the data set shown?
0
5
10
15
20
25
25%
050%
оооо
75%
О 100%
Answer:
I think that's 25 though I have no assurance
HELP please i need this done by thursday
What is the area of the square,in square units?
3/4 unit
Answer:
9/16
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
A = (3/4)^2
A = 9/16
Brainliest goes to whoever answers correctly I have other questions if you want more points
Answer:
a. $1.50 per pound of weight.
b. C
Step-by-step explanation:
a. explanation:
1. pounds is increasing by +4 and dollars are increasing by +6.00
2. as a fraction it is 6/4.
3. simplified is 1 1/2 or 1.50
b. explanation
1. we know that the slope (or rate of change) is $1.50 /per pound of weight.
2. 4 - 4 = 0; $11.00 - 6.00 = $5.00
3. 0, $5.00
4. The y-int. is $5.00
5. answer is C
[algebra 2, word problems and expressions] hai! please help!
Answer:
The first one, f+2g+3t! :)
Step-by-step explanation:
F is worth 1 point so you don't need to add a number, g is worth 2 points, and t is worth 3 points.
i kinda need help on this
Answer:
16 units²
Step-by-step explanation:
Formula for the area of a parallelogram is given as, A = b*h
Where,
Base (b) = 4
Height (h) = √(5² - 3²) = 4 (Pythagorean theorem)
Plug in the values
Area of parallelogram, A = 4*4
= 16 units²
Find the length x
Plz help ASAP
Answer:
Step-by-step explanation:
2. Select all the irrational numbers. *
A. 6pi
B. - square root of 49
C. -1.405
_
D. -0.3
E. e
F. square root of 2
Answer:
F.
Step-by-step explanation:
What is the definition of exponential growth?
Any help out there
Answer:
Exponential growth is a process that increases quantity over time. It occurs when the instantaneous rate of change of a quantity with respect to time is proportional to the quantity itself.
Answer:
The answer is probably B. If not it might be C.
Step-by-step explanation:
Exponential growth is growth that becomes more and more rapid. I hope this helps :).
Jennifer can clean the house by herself in 3 hours. Her little brother Andy helps her clean and it takes them 2
hours working together. How long would it have taken Andy to clean the house if he had worked alone?
a. hours
b. 3 hours
c. 6 hours
d. 1 hour
Answer:
c
Step-by-step explanation:
If he could clean the house alone in one hour, then it wouldve taken him and his sister less than that. if he could clean it in 3 hours, it wouldve tkane him and his sister 1.5 hours.
Answer:
Step-by-step explanation:
c. 6 hours
What is the range of the given function? To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by the equation u = 748g, where g is the total number of gallons of water used and u is the number of units.
The question is incomplete. The complete question is :
To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by the equation g = 748u, where g is the total number of gallons of water used and u is the number of units. Determine which statements about the relationship are true. Check all that apply.
g is the dependent variable.
u is the dependent variable.
g is the independent variable.
u is the independent variable.
The variables cannot be labeled without a table of values.
The variables cannot be labeled since any value can be selected for either
Solution :
Given equation :
g = 748 u
Here, g = total number of gallons of water used
u = number of units
Customers uses the number of units of water.
The unit of water is independent of the total number of gallons of water used.
So the number of units u is an independent variable.
But the value of gallons of water depends on the number of units that is used.
Therefore, number of gallons of water g is a dependent variable.
Thus, we can say that :
g is dependent variableu is independent variable