Answer:
It increased by 150%
Step-by-step explanation:
a cheetah ran 300ft in 2.92 sec what was the average speed in mph
Answer:
70.05 mph
Step-by-step explanation:
A cheetah ran 300 feet in 2.92 seconds. What is the cheetah's average speed in miles per hour
--------------------------------------
(300 ft/2.92 sec)(1 mi/ 5280 ft)(3600 sec/1 hour)
= {300*1*3600 miles)/(2.92*5280*1 hour)
= 91080000 miles/15417.6 hours
= 70.05 mph
Prove that:
\cos( \frac{3\pi}{2} + \theta) \cos(2\pi + \theta) [ \cot( \frac{3\pi}{2} - \theta) + \cot(2\pi + \theta) ] = 1
Please solve this problem because tomorrow is my...
Explanation:
On taking LHS
Cos[(3π/2)+θ]Cos(2π+θ)[Cot{(3π/2)-θ}+Cot(2π+θ)]
We know that
π = 180°
2π = 2×180° = 360°
3π/2 = (3×180°)/2 = 540°/2 = 270°
Now
LHS becomes
Cos(270°+θ)Cos(360°+θ)[Cot(270°-θ)+Cot(360°+θ)]
We know that
Cos (270°+θ) = Sin θ
Cos (360°+θ) = Cos θ
Cot (270°-θ) = Tan θ
Cot (360°+θ) = Cot θ
→ Sin θ Cos θ [Tan θ + Cot θ]
→ Sinθ Cosθ[(Sinθ/Cosθ)+(Cosθ/Sinθ)]
→ Sinθ Cosθ[(Sin²θ+Cos²θ)/(SinθCosθ)]
→ Sin θ Cos θ [1/(Sin θ Cos θ)]
Since Sin²θ+Cos²θ = 1
→ (Sin θ Cos θ)/(Sin θ Cos θ)
→ 1
→ RHS
→ LHS = RHS
Hence, Proved.
Here are the formulae that I have used:
→ π = 180°
→ Cos (270°+θ) = Sin θ
→ Cos (360°+θ) = Cos θ
→ Cot (270°-θ) = Tan θ
→ Cot (360°+θ) = Cot θ
Here are the Trigonometric Identities that I have used:
→ Sin²θ+Cos²θ = 1
Hope this helps!!
Find the missing angle measure.
Answer:
83
Step-by-step explanation:
Bruce retiled his kitchen. Originally, he bought three boxes of tile with the same number of tiles in each. He ran out of tile and had to go back to get three extra boxes of tile. However, he only used two tiles from the last box to finish the job. Felicia also retiled her kitchen. She bought five boxes of tile, and each box contained the same number of tiles as each of Bruce’s boxes. She also ran out of tile. She had to go back to the store and get five more tiles to finish the job.Is it possible for Bruce and Felicia to have used the same number of tiles? Use complete sentences to explain your reasoning.
Answer:
Expression for the number of tiles Bruce used: 5x+2
Expression for the number of tiles Felicia used: 5x+5
Step-by-step explanation:
First want you'll want to do is translate the question into something easily understood. So for Bruce, we know that he bought three boxes with the same number of tiles in each, so 3, then he had to buy three more, another 3, but didn't finish the last box only using two, 2. So, we know he completely used the first 3 he bought then 2 of the 3 more boxes he bought.
For boxes completely used we can show it like this: 3+2=5 or 5x to represent the not known number of tiles in each box. Now we have to include the last box he bought, but he only used two tiles out of the whole box so it wouldn't be added to the same number as the other five (so not 6x).
To represent those last two tiles we can simply add +2.
Now putting it all together we get 5x+2
5x is the number of boxes multiplied by unknown number of tiles. so 5x=tiles in 5 boxes. and the 2 is those two tiles that were taken out of the last box.
For Felicia we go through the same process. We know she bought five boxes with the same number of tiles that Bruce had, 5, then bought five more individual tiles (not in a box), 5.
Not too much to do, so we know she got 5 boxes, so now we add our variable to represent the tiles in the boxes. so that 5 becomes 5x. Now with like we did with the two tiles Bruce only used, we do not add the 5 additional tiles into that number (so not 10x).
Because those were individual tiles they are simply 5.
Putting the whole thing together we get 5x+5
URGENT PLEASE HELP, respond to c, d, e, and f please !!
Answer:
Step-by-step explanation:
c. (18.5-17)/.9= 1.66666666667= 1.6667
d. .7107
e. .2185
f. 0.675=(x-17)/.9 x= 17.6075
Write the equation of the line that passes through the points (−3,9) and (1,−6).
Answer:
y=-3.75x-2.25
Step-by-step explanation:
Step 1: Find the slope (m) using the Slope Formula, Y2-Y1/X2-X1
(-6)-(9)/(1)-(-3) = -15/4 = -3.75
Step 2: Find the Y-intercept (b) using the Slope Intercept Formula, y=mx+b
9=-3.75*(-3)+b
9=11.25+b
b=9-11.25
b=-2.25
Step 3: Plug in your slope (m) and Y-intercept (b) values into the Slope Intercept Formula, y=mx+b
y=-3.75x-2.25
Step 4: Plug your X values into the formula, you should get your Y values after solving
y=-3.75(-3)-2.25=11.25-2.25=9 (-3, 9)
y=-3.75(1)-2.25=-3.75-2.25=-6 (1, -6)
Solve 4(x−5)=6x. You must SHOW EACH STEP for full credit.
Answer:
x = − 10
Step-by-step explanation:
Let's solve your equation step-by-step.
4 ( x − 5 ) = 6x
Step 1: Simplify both sides of the equation.
4 ( x − 5 ) = 6x
( 4 ) ( x ) + ( 4 ) ( − 5 ) = 6x ( Distribute )
4x + − 20 = 6x
4x − 20 = 6x
Step 2: Subtract 6x from both sides.
4x − 20 − 6x = 6x − 6x
− 2x − 20 = 0
Step 3: Add 20 to both sides.
− 2x − 20 + 20 = 0 + 20 − 2x = 20
Step 4: Divide both sides by -2.
− 2x / − 2 = 20 / − 2
x = − 10
proportional escape room puzzle two
Answer:
Step-by-step explanation:
Is there a question to it?
The magnitude of an earthquake measured on the Richter scale is given by:
R(L) = log (l/l0), where l = amplitude.
Find the Richter scale rating of an earthquake with amplitude 1. 80 X 10 l0.
HELP ME PLEASEEEEEEEEEEE
Answer:
1.26
Step-by-step explanation:
R(L)=log((1.8 ×10)=log(18)=1.26
The Wilsons have triplets and another child who is ten years old. The sum of the ages of their children is 37. How old are the triplets
Hope this helps have a nice day!!!!
Can someone help me please ?
Answer:
=
Step-by-step explanation:
1. The square root of 4 is 2 because [tex]2^2[/tex] = 4.
2. The cube root of 8 is 2 because [tex]2^3 = 2* 2 * 2[/tex] = 8.
3. 2 and 2 are equal.
Therefore, the correct symbol is =.
The following relation is a function: {(-1,0), (1,3), (-2,0), (0,4)}.
True
False
Answer:
My answer is true hope this'll help
11. Circle the name of the student who correctly wrote the equation modeled below. Then, find the
solution to the equation ?
Answer:
the student that is correct is Gene and the solution is x=10
The equation that is correctly modelled is 2 = -8 - x.
GENE equation is correct.
We have,
From the model below,
The right-hand side:
This can be written as,
1 + 1 = 2 ______(1)
And,
The left-hand side:
This can be written as,
-x + 8 x (-1)
-x - 8
or
-8 - x ______(2)
Now,
From (1) and (2),
2 = -8 - x
Thus,
The equation that is correctly modelled is 2 = -8 - x.
GENE equation is correct.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ3
Write 3/6/7 in an improper fraction in the lowest term
Answer:
27/7
the mixed number 3 6/7 can be written as 27/7.
The value of an improper fraction in the lowest term is,
⇒ 27/7
We have to give that,
A mixed fraction is,
⇒ 3 6/7
Now, We can change the fraction into an improper fraction as,
⇒ 3 6/7
⇒ (3×7 + 6)/7
⇒ (21 + 6)/7
⇒ 27/7
Therefore, an improper fraction in the lowest term is,
⇒ 27/7
To learn more about the fraction visit:
https://brainly.com/question/5454147
#SPJ6
What is the circumference of this circle?
A.
4
1
⁄
2π
B.
20
1
⁄
4π
C.
2
1
⁄
4π
D.
None of the above
E.
9π
Answer:
It is 2 π r
Step-by-step explanation:
Hope this helps you!!!1
What are the y and x-intercept in f(x)=50-2x?
Answer:
Step-by-step explanation:
Pablo's father is 4 years older than his mother. Pablo's mother is 42 years old. How old is his father? Pablo's father's age is:
Answer:
46
Step-by-step explanation:
1 sum 42+4
Y=5x+b
how do i solve for B?
Answer:
Y=5x+b
y-5x=b
B= y-5x
hope this helps
Answer:
b = y-5x
Step-by-step explanation:
y =5x+b
Step 1- Cancelation minus or add the numeric first both side then variable numbers, then variables then exponents ^2 last.
In this case if we were asked to find x we would divide both sides by 5. But we are not asked that and instead asked to find b so we just apply and keep 5x together through add or subtraction.
For exponents we sqrt both sides. But this equation doesnt show any exponents so we stop at -5 each side.
y-5x=b
Step 2 - keep doing to isolate b we have no more to change other than reverse to show b first.
b = y-5x
What is the square root of 111.2
Answer:
Well that whole thing is to the power of 2, so whatever the square root is, it gets multiplied by itself again just to get 111.2, so the solution to that question is 111.2.
what is dividing fractions
Answer:
The simplest way I can describe dividing fractions is like multiplying fractions but upside down.
Example:
1/2 ÷ 1/3
To do this, the easiest way is to "flip" the second fraction.
It then becomes:
1/2 × 3/1
Then you just multiply across and you get a product of 3/2 or 1 1/2
Ricardo invests $8650 in an account that earns 3.9% interest compounded weekly. What is the total amount of his investment after 9 years? Round your answer to the nearest dollar.
Based on the amount he invested and the period of his investment, Ricardo's investment worth in 9 years will be $12,286.
The period of compounding is weekly so you first need to convert the interest rate to a weekly rate as well as the period of investment:
= 3.9% / 52 = 3.9/52%
= 9 years x 52 weeks per year = 468
Value of the investment after 9 years is:
= Amount x ( 1 + rate) ^ no. of periods
= 8,650 x (1 + 3.9/52%)⁴⁶⁸
= 12,285.599
= $12,286
In conclusion, the investment would be worth $12,286.
Find out more at https://brainly.com/question/10582389.
Someone pls help me I will make you brain
help angels this geometry is a pain in the 4$$
Answer:
1. 4.5
2. The scale factor is 3/4
Step-by-step explanation:
Which of the ordered pairs is a solution to
4x - y = 8?
a. (0, -8).
b. (0,8).
c. (8,0).
(-3.0
Answer:
a(0,-8)
Step-by-step explanation:
4x0=0
0--8= 8
C. Directions: Copy and answer. Write in the circle the final sum of
the given number.
1.
98
2.
40
3.
123
-13
47
150
70
1180
-59
321
1-300
다.
1
5.
1326
6.
109
66
11-51
39
139
7
7433
88
77
Answer:
98
Step-by-step explanation:
PLEASE HELP HELPPPPPPPPP
Answer:
(1,-4)
Step-by-step explanation:
2x+4y=-14
x-2y=9
2x+4y=-14
2(x-2y)=(9)2
2x+4y=-14
2x-4y=18
Add X
4x=4
X=1
Substitute x into any equation
(1)-2y=9
-2y=8
y=-4
at sunrise,the temperature outside was 5 below zero . by noon the temperature dropped 27. what was the temprature at noon
Answer:
-32
Step-by-step explanation:
hope this helps you with the question
please actually help me
Answer:
A.) 6:51
B.)The train at 6:42
C.)34 minutes
how do I do this please help
Answer:
i do not know what it all says
Step-by-step explanation:
What is the volume of this rectangular prism
Answer:
Do 7 x 4 = 28 and the bottom is 28
do answer is 56 enjoy brainliest