Answer:
[tex]\text{1. }2.53^{\circ},\\\text{2. }792,772.98\:\mathrm{ft}[/tex]
Step-by-step explanation:
Start by converting miles to feet:
[tex]150\text{ miles}=150\cdot 5280\text{ feet}=792000\text{ feet}[/tex]
Form a right triangle with the plane's displacement marking the hypotenuse of this triangle. We can now use basic trig for a right triangle to solve for the angle of descent.
Let the angle of descent be [tex]\theta[/tex]. In a right triangle, the tangent of an angle is equal to its opposite side divide by its adjacent side.
Therefore, we have:
[tex]\tan \theta=\frac{35000}{792000},\\\\\theta =\arctan(\frac{35000}{792000})=2.53036411\approx \boxed{2.53^{\circ}}[/tex]
In all right triangles, [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle (Pythagorean Theorem).
Therefore, the length of the plane's path is:
[tex]35,000^2+792,000^2=c^2,\\c^2=628489000000,\\c=\sqrt{628489000000}=792772.981376\approx \boxed{792,772.98\:\mathrm{ft}}[/tex]
The weight Wkg of a metal bar varies jointly as it's length L and the square of it's diameter D mm. If W=140 when D =4 and L=54, find D interm of W and L
Answer:
D = [tex]\sqrt{\frac{216W}{35L} }[/tex]
Step-by-step explanation:
From the given question, the expression showing the relationship among the weight, length and diameter of the metal bar is;
W [tex]\alpha[/tex] L[tex]D^{2}[/tex]
W = kL[tex]D^{2}[/tex]
where k is the constant of proportionality.
When W = 140, D = 4 and L = 54, then;
140 = k(54)[tex](4)^{2}[/tex]
= 864k
k = [tex]\frac{140}{864}[/tex]
= [tex]\frac{35}{216}[/tex]
k = [tex]\frac{35}{216}[/tex]
⇒ W = [tex]\frac{35LD^{2} }{216}[/tex]
So that;
35L[tex]D^{2}[/tex] = 216W
[tex]D^{2}[/tex] = [tex]\frac{216W}{35L}[/tex]
D = [tex]\sqrt{\frac{216W}{35L} }[/tex]
Which ratio is not equivalent to 3:6?
a. 1:2
b. 4:10
c. 10:20
d. 15:30
Answer:
B. 4:10
Step-by-step explanation:
A. 3:6 is equal to 1:2, which is our given answer for A.
B. Has no equivalent to 3:6
C. 10:20 can be simplified to 1:2 which 3:6 can also be simplified to… giving our answer.
Finally, D. You can multiply equally by 5 to get 15:30 and divide to get back to 3:6… it’s equal ;)
Hope this helps, good luck!
If xy= 180 and HCF (x,y) = 3, then find the LCM (x,y)
tell the answer of LCM (x,y)
Answer:
Step-by-step explanation:
LCM×HCF= Product
LCM×3=180
LCM=180/3=60
Arrange the following in ascending order. 1/2 1/4 3/4 1
Answer:
1/4
1/2
3/4
1
Step-by-step explanation:
1/2 = 0.5
1/4 = 0.25
3/4 = 0.75
1 = 1
what is the total cost for an item that costs $140.00 and has a sales tax rate of 7.5%
Answer:
$150.5
Step-by-step explanation:
CP of an item = $140
sales tax rate = 7.5%
sales tax amount = sales tax rate of CP
=7.5% of CP
= 7.5/100 * $140
=$1050/100
=$10.5
total cost with tax = CP + tax rate
=$140 + $10.5
=$150.5
On the graph shown, what is f(-2)
Answer:
3 because when x=2 the lines are at y 1 and 3, but the y 1 isn't shaded, so the answer is 3
Which expression is equivalent to this quotient?
[tex]\frac{1}{x+5} \\\frac{x+3}{5x+15}[/tex]
Broody is makeing trailmix for a hike he is takeing some friends. He used 6 cups of peanuts,4 cups of cashoe, 3 cups of choclate chips and 2 cups of raisins.Be mixed it all up and put a equal amount of trail mix into 5 bags.How many cups of trail mix did he put in each bag?
Answer:
The answer is 3.
Step-by-step explanation:
To answer this, you have to find the total amount of cups he had to begin with. You add the cups of peanuts, cashews, chocolate chips, and raisins together, which equals 15 cups. Then, he divided it evenly into 5 bags, which means he put 3 cups of trail mix into each bag.
In parallelogram LMNP if PQ=21 find QM.
Answer:
QM = 21
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, then
QM = PQ = 21
what are 2 consecutive odd integers whose sum is 36.
Two consecutive odd integers with a sum of 36 are 17 and 19.
Hope it helps you I'm from ph❤️
Answer:
Two consecutive odd integers with a sum of 36 are 17 and 19.
Step-by-step explanation:
hope i helped
Observe los datos de la siguiente tabla y resuelva. x -2 -1 0 1 2 3 y 1 3 5 7 9 11
Answer:
y = 2*x + 5
Step-by-step explanation:
En este problema tenemos los datos de una tabla, y supongo que queremos encontrar la funcion que esta siendo representada por esta tabla.
La tabla es:
x: -2 -1 0 1 2 3
y: 1 3 5 7 9 11
Esto parece ser una relación linear, las cuales se escriben como:
y = a*x + b
Donde a es la pendiente y b es la ordenada.
Si sabemos que la linea pasa por los puntos (x₁, y₁) y (x₂, y₂), entonces la pendiente será:
a = (y₂ - y₁)/(x₂ - x₁)
Entonces lo primero que debemos chequear es si utilizando distintos puntos de esa tabla obtenemos la misma pendiente, lo que significaría que los datos de la tabla se corresponden con una relación linear.
SI usamos los primeros dos puntos de la tabla, que son (-2, 1) y (-1, 3) la pendiente es:
a = (3 - 1)/(-1 - (-2)) = 2/1 = 2
Ahora si utilizamos por ejemplo el segundo y tercero, que son (-1, 3) y (0, 5) entonces la pendiente es:
a = (5 - 3)/(0 - (-1)) = 2/1 = 2
Ya vimos que para dos pares de puntos distintos la pendiente es igual a 2, entonces podemos concluir que la ecuación va a ser algo como:
y = 2*x + b
Para encontrar el valor de b, podemos usar cualquiera de los puntos de la tabla.
Si usamos el segundo punto, (-1, 3)
esto significa que cuando x = -1, tenemos y = 3
Si reemplazamos esos dos valores en la ecuación de arriba, obtenemos:
3 = 2*-1 + b
3 = -2 + b
3 + 2 = b
5 = b
Entonces la ecuación es:
y = 2*x + 5
A newsletter publisher believes that 30% of their readers own a Rolls Royce. A testing firm believes this is inaccurate and performs a test to dispute the publisher's claim. After performing a test at the 0.02 level of significance, the testing firm fails to reject the null hypothesis. What is the conclusion regarding the publisher's claim
Answer:
The evidence is not sufficient at the 0.02 level of significance to reject the claim that the percentage is 30%.
Step-by-step explanation:
Let's first state the null and alternative hypotheses for this research;
H0: p = 0.30
Ha: p ≠ 0.30
Now, since the bull hypothesis is the claim and he fails to reject the null hypothesis from the research, we will conclude that;
The evidence is not sufficient at the 0.02 level of significance to reject the claim that the percentage is 30%.
In order for the parallelogram to be a
rhombus, x = [?].
(5x - 8°
(2x + 16)°
Answer:
8
Step-by-step explanation:
5x-8 = 2x+16
Move 2x to the left side and you get 3x-8 = 16
Move -8 to the right side and you get 3x = 24
Divide 3 on both sides and you get x = 8
What is the point of intersection to the system below?
2x - 3y = 5
3x +3y = 5
Answer:
Solution: {x = 2, y = -1/3}
Step-by-step explanation:
On observation, we see that the y-terms are equal and opposite in sign, therefore to solve the system, we add the two equations.
2x-3y = 5 ..........(1)
3x+3y = 5............(2)
(1) + (2)
2x - 3y + 3x + 3y = 5+5
5x = 10
x = 2 .......(3)
Substitute (3) in (2) and solve for x
3x+3y = 5 .....(2)
3(2) + 3y = 5
3y = 5-6 = -1
y = -1/3 .......(4)
assemble (3) and (4) to give the answer
Solution: {x = 2, y = -1/3}
I need help solving both of these 2 I’ve tried asking but nobody knows
Answer:
Step-by-step explanation:
x/7 - 13 ≥ -11
x/7 ≥ 2
x ≥ 14
m/-6 + 16 ≥ 19
m/-6 ≥ 3
m/6 ≤ -3
m ≤ -18
Determine whether the given triangles are congruent
Answer:
Yes they are congruent and it is explained below
Step-by-step explanation:
There are 5 postulates when testing for congruency and they are;
SSS, SAS, ASA, AAS and HL.
S represents side
A represents angle
H represents hypotenuse
L represents leg
Now, in this our question, we can see that the 3 angles and the three sides of both triangles are equal to each other.
Thus, we can make use of SSS postulate whereby we say the 3 sides of the first triangle are equal to the 3 sides of the second triangle.
Thus, they are congruent.
**PLEASE HELP**The frequency table below represents the 30 best battling averages for a semi pro baseball league. Which ranges of battling averages were least common among the players
The lower the frequency the least common the average.
There are two frequencies that are 1, which would be the least common.
The answer is C. 0.320-0.329 and 0.360 -0.369
Answer:
option C
Step-by-step explanation:
option c is contains the two batting averages which have a frequency of 1, this means that they both only occurred once which is the least amount of times any of the batting averages has occurred.
Please show me 3+2 (2x - 4) and can you please show the work?
Answer:
4x -5
Step-by-step explanation:
3+2 (2x - 4)
Distribute
3 + 2*2x - 2*4
3+4x - 8
Combine like terms
4x +3-8
4x -5
Answer:
4x - 5
Step-by-step explanation:
3+ 2 (2x) + 2 (-4)
3+4x - 8
help me..........
only 23...
Question 23
Recall that a kite in geometry is any four sided figure where we have two different pairs of adjacent sides that are the same length.
We're told that PS = 4.5 and RS = 6. So this isn't an adjacent pair of congruent sides. But we can say that PS and PQ are one pair of adjacent congruent sides. That makes PQ to be 4.5 cm long.
Similarly, RS = RQ = 6 is the other pair of adjacent congruent sides. Notice that triangle PQR reflects over line PR to get triangle PSR.
See the diagram below.
39.63+0.30=24.45+0.80
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{39.63 + 0.30 = 24.45 + 0.80}[/tex]
[tex]\large\textsf{39.63 + 0.30}[/tex]
[tex]= \boxed{\large\textsf{\bf 39.93}}\large\checkmark[/tex]
[tex]\large\textsf{24.45 + 0.80}[/tex]
[tex]=\boxed{\large\textsf{\bf 25.25}}[/tex]
[tex]\large\textsf{\bf 39.93 } \mathsf{\bf \neq }\large\textsf{ \bf 25.25}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \bf FALSE or NOT TRUE because 39.93 }\mathsf{\neq }\large\textsf{ \bf 25.25}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
what is 2+a, when a is 17?
Answer:
19
Step-by-step explanation:
If a=17, then:
2 + 17 = 19
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Have a great summer :)
Write an equation of the parabola that passes through the point (46, - 150) and has x-intercepts - 4 and 56 . Then find the average rate of change from x= -4 to x=6.
An equation is y =
The average rate of change is
Answer:
6w83ywytahausjsshshfwgwyee
can you plz answer plz!?
Answer:
1. mode
2. median, mode, mode interval
3. stem and leaf graph
4. not sure (try using a median calculator)
5. 80 or 90 (not exactly sure)
Step-by-step explanation:
how many eggs are 5 dozen
Answer:
A dozen is 12.
12*5 = 60 eggs
5 dozen eggs are equal to 60 eggs.
A dozen is a unit of measurement equal to 12 items. So, 5 dozen is equivalent to 5 times 12, which gives us a total of 60 items.
When referring to eggs, the term "dozen" is commonly used to represent a quantity of eggs. In this case, if we have 5 dozen eggs, it means we have 5 sets of 12 eggs each.
To calculate the total number of eggs, we multiply the number of dozens (5) by the number of eggs in a dozen (12):
5 dozen x 12 eggs/dozen = 60 eggs
Therefore, 5 dozen eggs are equal to 60 eggs. This means that if you have 5 sets of 12 eggs, you would have a total of 60 eggs.
To learn more about multiplication;
https://brainly.com/question/19634536
#SPJ6
A 2km long stretch of road needs to be resurfaced. The width of the road is 8.3m. Model this stretch of road as a rectangle.Work out the area of road that needs to be resurfaced in metre squared. Resurfacing this road costs £30 per square metre What is the total cost to resurface this road?
1 km = 1000 meters
2 km = 2 x 1000 = 2,000 meters
Area = length x width
Area = 2,000 x 8.3 = 16,600 square meters
Cost:
Multiply total area by cost per square meter:
16,600 x 30 = £498,000
Help now now the other 2 are Wednesday and Thursday
Select all the numbers that are irrational.
9514 1404 393
Answer:
π, √3, 3√2
Step-by-step explanation:
A number is irrational if it is not a decimal number of finite length or a repeating decimal number.
The irrational numbers in the group are shown below.
Over what interval is the function in this graph constant?
Answer:
[tex]\text{A. }1\leq x \leq6[/tex]
Step-by-step explanation:
A constant intervals occurs when the function is neither increasing or decreasing. In the graph, we see this occurs from [tex]x=1[/tex] to [tex]x=6[/tex]. Therefore, the interval in which the graph is constant is [tex]\boxed{\text{A. }1\leq x \leq6}[/tex]
What is the Order of Magnitude of the number of pennies equivalent to a quarter?
Answer:
It is mainly used while doing scientific notation. If two numbers differ by one order of magnitude, one is about ten times larger than the other. If they differ by two orders of magnitude, they differ by a factor of about 100.A quarter is 0.25 dollars so the ratio between 1 dollar and a quarter is 1/0.25(it means the dollar and the quarter which is 0.25 dollars) and that equals =4
can I please can some help on this question
Answer: The answer be 87 for both answer's
Step-by-step explanation:
because, {B-3=90} and, 0.< a < 90. and I calculated and got 87 for both questions ( I hope it correct!)
