Answer:
The height of the railway = 361 feet
Step-by-step explanation:
This question can be solved by applying the required trigonometric function. Let the height of the railway be represented by h.
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin 52 = [tex]\frac{h}{458}[/tex]
h = Sin 52 x 458
= 0.788 x 458
= 360.904
h = 361
So that, the railway is 361 feet high.
What are the solutions to the system of the equations graphed below?
Answer:
D
Step-by-step explanation:
Where the graphs intersect each other is where the solution is. The graphs intersect each other at the points (0,-8) and (4,8). Hope this helps!
sin 20 = cos a Find a
Please be sure to show your work.
Answer:
Step-by-step explanation:
cos a=sin20=sin (90-70)=cos 70
a=70°
16k³+24k² in factorization
Answer:
8k² (2k + 3)
Step-by-step explanation:
16k³ + 24k²
=8k²(2k + 3)
AYUDA PORFAVOR
En el par ordenado (m,n) ¿cual letra representa la abcisa y cuan la ordenada?
Answer:
El eje horizontal es el Eje de Abscisas y se representa con la letra “x”, el eje vertical es el Eje de Ordenadas y se representa con la letra “y”.
Step-by-step explanation:
EVALUATE FOR MEEEE
18 - 3 (5) + 2
A. 5
B. 6
C. 7
Answer:
Use PEMDAS
(Parentheses, Exponents, Multiplication and Division, Addition and Subtraction)
18 - 3 (5) + 2
18 - 15 + 2
3 +2
5
Answer:
5
Step-by-step explanation:
1. Prove that the product of the second and third numbers out of four consecutive whole numbers is two greater than the product of the first and the fourth numbers.
2. Prove that the square of the second number out of three consecutive odd numbers is four greater than the product of the first and third numbers.
Answer:
1.
(x+1)(x+2)>x(x+3)
x^2+2x+x+2>x^2+3x
x^2+3x+2>x+3x
2>0
2.
(x+2)^2>x(x+4)
x^2+4x+4>x^2+4x
4>0
Step-by-step explanation:
1.
Suppose x is the lowest number in the set of 4 consecutive numbers, then x+1, x+2, and x+3 are then the next numbers in the sequence since they are the next whole numbers.
Then, to follow the conditions of the problem, we make the equation:
(x+1)(x+2)>x(x+3)
Using the formula of (a+b)(c+d)=ac+ad+bc+bd, we can expand both sides of the equation into this:
x^2+2x+x+2>x^2+3x
=x^2+3x+2>x^2+3x
We can then cancel x^2+2x from both sides and we are left with 2>0.
2.
Again, suppose x is the lowest value in the set of consecutive numbers. In this case, odd numbers increase by 2 each time so the series of numbers are:
x, x+2, x+4
Therefore, to follow the conditions of the problem, we make the equation:
(x+2)^2>x(x+4)=
(x+2)(x+2)>x(x+4)
Using the same formula of (a+b)(c+d)=ac+ad+bc+bd, we get:
x^2+4x+4>x^2+4x
Cancel x^2+4x from both sides and we are left with 4>0
Hope this helps!
What is the square root of √25
Answer:
5 is the square root of 25
Step-by-step explanation:
Have a great day!
and can I maybe please have brainliest?
Thanks!
Answer:
5 is the square root of √25
Step-by-step explanation:
hope it helps you
can someone please help, I've been stuck on this for hours
Answer:
i love ur profile pic
Step-by-step explanation:
and j
put a dot on 3 for the y side
Complete the Square
x2 + 10x +
Answer:
( + 10)
Hope this helps you out
6. Step 1: Calculate the area of
ADEF using the scale factor.
62.5 ft
156.25 ft
88 ft
163.75 ft
Answer:
1234567890
Step-by-step explanation:
?
Simplify.
4(3)+2) - 11
Answer:
9
Step-by-step explanation:
if the equation is what i think it is, its
4 x (3+2) - 11 = 9
3+2=5
4x5=20
20-11=9
A rectangular prism has a length of 7 feet, a height of 17 feet, and a width of 4 feet. What is its volume, in
cubic feet?
Answer: 476 ft³
Step-by-step explanation:
Volume = width x hight x length
V = 4 ft x 17 ft x 7 ft
v = 476 ft³
Howard worked out the problem below and his answer is below. Is Howard correct? If not, where did he make his mistake? Explain and give the right answer.
What is 40% of 140?
4.8
Answer: 56
Step-by-step explanation:
Howard is incorrect the right answer is 56.
Need help. thank you
Answer:
x = 70.53 degrees
Step-by-step explanation:
equation:
cos-1 = [tex]\frac{adjacent}{hypotenuse}[/tex]
⇒ cos-1 x = [tex]\frac{4}{12}[/tex]
⇒ cos-1 x = 0.33
⇒ x = 70.528
round to the nearest tenth:
⇒ 70.53
Raina is going to watch a movie in her collection. She has 3 action movies, 4 comedies, and 5 dramas. She will randomly select one movie. What is the probability that the movie she selects is not a comedy?
Answer:
8/12 or about 66%
Step-by-step explanation:
Total movies = 12
Comedies = 4
8/12
What is the HCF of 280, 112, and 140.
Answer:
Step-by-step explanation:
First find prime factorization of the numbers
280=2^3(5)7
112=2^4(7)
140=2^2(5)7
So the HCF is 2^2(7)=4(7)
HCF=28
What is the equation of the line that passes through the point (–2,1) and has a
slope of
3/2
Answer:
y = [tex]\frac{3}{2}[/tex] x + 4
Step-by-step explanation:
Find b and substitute for y = mx + b so
1 = 3/2(-2) + b
1 = -3 + b, so b = 1+3, b=4
Put it all together y = [tex]\frac{3}{2}[/tex] x + 4
For questions 15 - 19.
X
Z
2
138
4
Y
W
Question 15
Answer:
∠1 = 42°
∠2 = 48°
∠4 = 48°
∠3 = 21°
∠5 = 21°
Step-by-step explanation:
Given:
∠WZY = 138°
Find:
∠1
∠2
∠3
∠4
∠5
Computation:
WZ = ZY
So,
∠3 = ∠5
So,
∠3 + ∠5 + 138 = 180
2∠3 = 42
∠3 = 21°
∠5 = 21°
∠1 = 180 - 138
∠1 = 42°
∠W = ∠Y
∠X + ∠Y + ∠W = 180
42 + ∠Y + ∠W = 180
∠Y = 69
∠2 = 69 - 21
∠2 = 48°
∠4 = 48°
Annie wants to eat an entire donut. However, since she only two-years-old, the mother says she can
only have a third of the donut. If the diameter of the donut is 4 inches, how long is the outside edge of
the piece that Annie gets to eat? Round your answer to the nearest hundredth of an inch.
Answer:
4.19 inches
Step-by-step explanation:
Your goal is to find the circumference of the donut and then divide that by 3 to get 1/3 of the outer edge of the donut.
Circumference is 2[tex]\pi[/tex]r
The diameter (double the radius) is 4, so radius (r) is 2
2 * pi * 2 = 4 pi = 12.57 (round to hundredth)
12.57/3 = 4.19
keep in mind that dividing by 3 is the same as multiplying by 1/3
Does anyone know the answer? I would really appreciate it!!
Answer:
B
Step-by-step explanation:
The answer is B hope that help
what is the function of f(0)
Answer:
Steps:
1. The zero of a function is the x-value that, when plugged into a function, makes the function equal to 0.
2. f(x) means that we have a function of x.
3. The zero of the function f(x)=2x-2 is the x-value that makes f(x) = 0.
4. So we can just set the function equal to 0, and then solve for x!
Hope this helps
Step-by-step explanation:
Show that the area of triangle DEF is 11 cm2.
9514 1404 393
Explanation:
The length CD can be found from the Pythagorean theorem.
CF² + CD² = DF²
2² + CD² = (2√10)²
CD² = 40 -4 = 36
CD = √36 = 6
From here, any of several methods could be used to find the area of ΔDEF.
One of them is to subtract the areas of the triangles that are not ΔDEF from the area of the rectangle ABCD.
area ABCD = bh = (6 cm)(5 cm) = 30 cm²
area ΔADE = 1/2bh = 1/2(4 cm)(5 cm) = 10 cm²
area ΔBEF = 1/2bh = 1/2(2 cm)(3 cm) = 3 cm²
area ΔCDF = 1/2bh = 1/2(6 cm)(2 cm) = 6 cm²
Then the area of interest is ...
area ΔDEF = area ABCD -area ΔADE -area ΔBEF -area ΔCDF
area ΔDEF = (30 -10 -3 -6) cm²
area ΔDEF = 11 cm²
__
Alternate solution
If we define A as the origin of a coordinate system, then the coordinates of the vertices of ΔDEF are ...
D(0, 5), E(4, 0), F(6, 3)
The area can be computed as half the absolute value of the sum of the determinants of 2×2 matrices consisting of adjacent points.
[tex]A=\dfrac{1}{2}\left|\left|\begin{array}{cc}0&5\\4&0\end{array}\right|+\left|\begin{array}{cc}4&0\\6&3\end{array}\right|+\left|\begin{array}{cc}6&3\\0&5\end{array}\right| \right|\\\\=\dfrac{1}{2}|(0-20)+(12-0)+(30-0)|=\dfrac{1}{2}(22) = \boxed{11}[/tex]
_____
Additional comment
The solution using coordinates is effectively equivalent to the computation of the area of trapezoid ABFD, less the areas of triangles EBF and AED.
helps pls :-/
number 12
any help is greatly appreciated!
Each car on a computer train holds 20 people. On a particular morning, 5 cars were 90% full and 3 cars were 65% full. If the people were rearranged to fill as many cars as possible, how many cars would be filled?
Answer:
7 cars
Step-by-step explanation:
The computation of the number of cars to be filled is shown below:
A car that is 90% full and the total people is 20 so 90% would be
= (.90)(20)
= 18
A car that is 65% full and the total people is 20 so 65% would be
= (.65)(20)
= 13
Now
Total number of people = (5)(18) + (3)(13).
= 129
Now the number of cars to be filled is
= 129 ÷ 20
= 6.45
= 7 cars
Identify the expression equivalent to 16x + 24y
1. 2 (8x + 24y)
2. 8 (8x + 3y)
3. 8 (2x + 3y)
4. 4 (2x + 6y)
Write an equivalent ratio described in the situation below. The ratio of boys to girls is 5/2
Answer:
5: 2 or 10: 4
Step-by-step explanation:
as a ratio, this would be 5: 2.
Im not sure if it's asking you to also make a new ratio that fits this, but if it is you could multiply both sides by 2 to get
10 : 4
Ximena just accepted a job at a new company where she will make an annual salary
of $50000. Ximena was told that for each year she stays with the company, she will
be given a salary raise of $3000. How much would Ximena make as a salary after 5
years working for the company? What would be her salary after t years?
Answer:
65,000
Step-by-step explanation:
3000 x 5 = $15,000
15,000 + 50,000 = 65,000
Answer:
$65000
50,000 + 3,000t
Step-by-step explanation:
What is the radius of the inscribed circle of HJK?
Answer:
D) 22
Step-by-step explanation:
Since it gives you two rays just set them equal and solve for X.
6x - 14 = 3x +4
+14 +14
6x = 3x + 18
-3x -3x
3x = 18
/3 /3
x = 6
Then plug x into either one of the equations
6(6) - 14
36 - 14
22
Answer:
D. 22
Step-by-step explanation:
Is 5 a solution of 5a − 9 = 26
Solve this equation. 1+1 = ?
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation: