Answer:
188 wrestlers
Step-by-step explanation:
Given
[tex]F =5w + 75[/tex]
[tex]F = 1013[/tex]
Required
Determine the number of wrestlers (w)
We have:
[tex]F =5w + 75[/tex]
Substitute: [tex]F = 1013[/tex]
[tex]1013 = 5w + 75[/tex]
Collect like terms
[tex]5w = 1013 - 75[/tex]
[tex]5w = 938[/tex]
Divide both sides by 5
[tex]w = 187.6[/tex]
Round up to get the number of wrestlers
[tex]w = 188[/tex]
An aquarium is 8 feet long, 5 feet wide, and 3.4 feet deep. What is the volume of the tank?
Answer:8x5x3.4= 132 feet squared
Step-by-step explanation:
Which expression is equivalent to the following?
[tex]sin^4(x)-cos^4(x)[/tex]
This is basically calculus......
Step-by-step explanation:
[tex]\sin^{4}x \: - \cos^{4} x = (\sin^{2}x)^{2} - (\cos^{2}x)^{2} [/tex]
[tex] = (\sin^{2}x)^{2} - (1 - \sin^{2}x)^{2} [/tex]
[tex] = \sin^{4}x - (1 - 2\sin^{2}x + \sin^{4}x)[/tex]
[tex] = 2\sin^{2}x - 1[/tex]
[tex] = - \cos2x[/tex]
Note: I used the identity
[tex] { \sin }^{2} x = \frac{1}{2} (1 - \cos \: 2x)[/tex]
for the last step.
PS. I love proving trigonometric identities!
A train travels a distance of 120 km at a constant speed of V kmh 1. If the speed
is reduced by 10kmh), then the time taken to the journey is increased by one
hour. Find the constant speed V of train.
Help me please
Answer:
V = 40 km/h
Step-by-step explanation:
Total distance = 120 km
Constant speed of train = V km/h
⇒ [tex]Time \: taken \: by \: train = \frac{Distance}{Speed} = \frac{120}{V} \: hr[/tex]
Its given that if speed is reduced by 10 km/h , the time taken by train increases by 1 hour. BUT THE DISTANCE REMAINS SAME. So,
[tex]Speed \times Time = Distance[/tex]
[tex]=> (V - 10)(\frac{120}{V} + 1) = 120[/tex]
[tex]=> 120 + V - \frac{1200}{V} - 10 = 120[/tex]
[tex]=> V - \frac{1200}{V} - 10 = 0[/tex]
[tex]=> \frac{V^2 - 1200 - 10V}{V} = 0[/tex]
[tex]=> V^2 - 10V - 1200 = 0[/tex]
Factorise the quadratic equation.
[tex]=> V^2 - 40V + 30V - 1200[/tex]
[tex]=> V(V - 40) + 30(V - 40)[/tex]
[tex]=> (V - 40)(V + 30)[/tex]
[tex]=> V = 40 \: (or) \: -30[/tex]
Speed can't be negative. So , V = 40 km/h
Find x
A: 11.2
B: 13.1
C: 9.2
D: 22.9
Hi there!
[tex] \large{tan35\degree = \frac{x}{16} }[/tex]
We can also use the other angle but I will focus on 35°.
The reason why we use the equation above because tan is equivalent to opposite/adjacent
From the picture, the opposite is x-term while the adjacent is 16 if we focus angle 35°.
Define theta = 35°. Thus, the equation would be tan35° = x/16.
Solving the equation, you might want to bring open Trigonometric Table or a calculator to calculate tan35°. You should get 0.7 (rounded)
[tex] \large{0.7 = \frac{x}{16} }[/tex]
Then solve the equation for x-term.
[tex] \large{0.7 \times 16 = x} \\ \large{x = 11.2}[/tex]
Hence, the value of x is 11.2
Answer
11.2Questions about the problem be asked through comment.
Furthermore, you can also use the other angle. If we use 55° instead, the equation would be tan55° = 16/x. The outcome would be the same.
Hope this helps, and Happy Learning! :)
List the next three numbers for the sequence:
34, 102, 408, 2040, ...
Answer:
12240
85680
685440
Step-by-step explanation:
We know that the sequence is growing rapidly
To see how rapidly divide the second term by the first term
102/34 =3
Check the third term divided by the second term
408/102 =4
Check the fourth term divided by the third term
2040/408=5
To get the second term, multiply by 3, to get the third term multiply by 4
to get the fourth term multiply by 5
to get the nth term multiply by (n+1)
The 5th term would be multiplied by 6
2040 *6 =12240
The 6th term by 7
12240*7=85680
The 7th term by 8
85680*8=685440
Find the Missing Angle!!!!
SOMEONE!!!
QUESTION: What is the measure of each angle in a regular polygon with 6 sides?
Answer:
polygon do all the number times each outher divided in half then times 6 for the hight and langht
Step-by-step explanation:
select all the expressions that are equal to
8(x-24)
Answer:
Your answer will be the 1st, 3rd and 4th/[tex]8(x-3), 9(x-3)-(x-3), and (5+3)x-24[/tex]
Step-by-step explanation:
No explanation since I've had this in the past, but I am 100% sure that it is A, C, and D. Therefore, your answer will be [tex]8(x-3), 9(x-3)-(x-3), and (5+3)x-24[/tex].
Solve for the missing side to the tenths place ( ignore the letters labeled on the triangle, they are labeling the angles not the sides)
c=
Answer:
120 broAB ayi dónde es 120 desde A asta B
The type of book that the students at a middle school prefer to read is shown in the table. Type of Book Number of Students Mystery 45% Science-fiction 35% Non-fiction 5% Fantasy 15% Tanner wants to make a circle graph of the data. How many degrees would be used for the section representing the students who prefer to read fantasy books?
A 15°
B. 27°
C. 45°
D. 54°
E 75°
The elevation at ground level is 0 feet. An elevator starts 90 feet below ground level. After traveling for 15 seconds, the elevator is 20 feet below ground level. Did the elevator travel up or down? What was the speed (in ft per second) of the elevator in the 15 second interval?
This is due at 8am tomorrow please help me
What is the median of this data set?
{3, 5, 7, 8, 8, 9, 10, 10, 10, 11, 12, 15}
Answer:
Hi, there your answer is 9.5
Median=10
9 + 10 = 19
19 ÷ 2 = 9.5
Step-by-step explanation:
Sorry my bad I forgot to add and divide
Answer:
The median would be 9.5
Step-by-step explanation:
To find our answer we will first put them in numerical order:
3, 5, 7, 8, 8, 9, 10, 10, 10, 11, 12, 15
Now that we have the numbers in order, we will find the middle numbers. Since the middle numbers are 9 and 10, we will add them both and divide them by 2.
9 + 10 = 19
19 ÷ 2 = 9.5
Therefore 9.5 is our answer!
What is 3^5 as a product of the same factor?
Answer:
9
Step-by-step explanation:
The question was not clear for me! Help :(
Answer:
0.1 , 0.2 , 0.05
Step-by-step explanation:
*each column adds to 1*
20 x 1/2 = 10
1/2 x 20 x 0.1 = 1
top left box = 0.1
; 5 x 2 x 0.1 = 1
1/2 x 10 = 5
; 0.2 x 1/2 x 10 = 1
bottom middle box = 0.2
; 5 x 1 x 0.2 = 1
; 2 x 10 x 0.05 = 1
middle right box = 0.05
; 20 x 1 x 0.05
PLZZZZZZZZZZZZZ HELPPPPPPPPP
Answer:
Given, Distributive property, Subtraction Property, Division Property, Prove
Step-by-step explanation:
This is what I think the answer is. So if the answer is wrong than I don't know
Find the length of the slide board. Round your answer to the nearest tenth place.
Answer:
22.8
Step-by-step explanation:
(18²+14²)½
= 22.8
Connie is 4 years younger than Max. Max is twice as old as Tom. If Tom is t years old, how old is Connie in terms of t?
Answer:
8t
Step-by-step explanation:
c = 4m
m = 2t
c = 4(2t) = 8t
Answer:
2t-4
Step-by-step explanation:
Tom: t.
Max is twice as old as Tom - 2t.
Connie is 4 years younger than Max - 2t-4.
So, Connie is 2t-4 years.
Please mark me as brainliest if you like the answer! :)
what is the area of a triangle with base 18cm and height 4cm
Answer: The area of the triangle would be “36cm^2”
Explanation: To find the area of a triangle you multiply the height and base and divide it by 2 so it would look like this 18 x 4 = 72 then 72/2 which is 36cm^2.
Have a nice day!
Answer:
Area=36
Step-by-step explanation:
18x4=72
72/2=36
ill give brainliest to the correct answer
Answer:
312 inches
Step-by-step explanation:
Surface Area = 2×(8×12 + 8×3 + 12×3) = 312 inches
Answer:
312
Step-by-step explanation:
(12x3)x2=72
(12x8)x2=192
(8x3)x2=48
72+192+48=312
The control limits, calculated as three standard deviations from the sample mean, imply that _________ of the sample points are expected to fall between the upper and lower control limits.
Answer: 99.7%
Step-by-step explanation:
A control chart is used in the identification of the assigned causes of variation for a process. The control limits are refered to as the horizontal lines that are below and above the center line which are used in judging whether a particular process is out of control.
In this case, the control limits, which is calculated as three standard deviations from the sample mean, simply means that about 99.7% of the sample points will be expected to fall between upper and lower control limits.
1.
Tom has a badge collection. He buys more so that his collection increases by 35%.
He originally had 20 badges. How many badges does he
have now?
7%
Given the vertices of M(1, 5) A(-1, 2), T(1, -1) H(3, 2), prove that MATH is a rhombus.
Step-by-step explanation:
i have solved the question
The school has two separate buildings, one is shaped
like a triangle and the other a rhombus. The base of
the triangle is 100 meters and the height is 150
meters, what is the area? The rhombus is a kite shape
with one diagonal 50 meters and the other 40 meters,
what is the area?
Answer:
250 = triangle
90 = rhombus
(i think, its all i know)
Step-by-step explanation:
just use 1/2 x b x h for triangles
and A = l x w for rectangles
A line is the locus of points that:
students who buy tickets at a local movie theater receive a 10% discount on the price of a ticket. what is the total price for the 4 students tickets if the regular cost per ticket is $6.00.
options- $21.60, $26.40, $6.60, or $5.40
Answer:
$21.60
Step-by-step explanation:
Answer:
Answer is $ 21. 60
Step-by-step explanation:
$22 or 21.60 in decimal form
Step-by-step explanation: $6.00 - 10% is 5.4
5.4 + 5.4 +5.4+5.4 is 21.60
you can also round this off and get the answer as $ 22 .
Hope this answer helps you :)
Have a great day
Mark brainliest
Question 2 (1 point)
If y varies directly as x and y = 3 when x = 12, what is the value of y when x = 18?
Answer:
18/4
Step-by-step explanation:
If y varies directly as x then the equation is y = kx
If y =3 when x = 12 then the equation is 3 = 12k => k = 3/12=> k = 1/4
The value of y when x = 18 is,
y = k *&x
= (1/4) * 18
= 18/4
then the equation is y = 18/4
beth walks 8 miles in 120 minutes. assume beth maintains a constant speed. what is the number of miles beth walked in one hour? i need helppp!!
Answer:
1 mile in 15 minutes
Step-by-step explanation:
Simply divide 120 by 8
120/8=15
According to the graph, what is the value of the constant in the equation below?
Height= Constant/Width
(4,5) (5,4) (10,2) (20,1)
A. 1
B. 10
C. 5
D. 20
Answer:
20
Step-by-step explanation:
AP EX Confirmed
can anyone help me ?
Answer:
d
Step-by-step explanation:
The sum of the angles of a triangle is ALWAYS 180 degrees.
Choose the product of (3x2 + 7)(6x2 – 4x + 5).
A. 63x2 – 28x + 35
B. 9x4 – 7x3 + 51x2 – 11x + 12
C. 18x4 – 12x3 + 42x2 – 28x + 35
D. 18x4 – 12x3 + 57x2 – 28x + 35