Answer:
d = 32h
Step-by-step explanation:
prove the following identity showing all steps:
[tex]\frac{cos(x+30)-sin(x+60)}{sin(x)cos(x)} =-sec(x)[/tex]
please help fast
Answer:
See solution below
Step-by-step explanation:
Given the expression
[tex]\frac{cos(x+30)-sin(x+60)}{sin(x)cos(x)} \\[/tex]
Recall that
cos x = sin(90-x)
cos(x+30 ) = sin (90-(x+30)
= sin(90-x-30)
= sin(60-x)
Substitute
[tex]\frac{sin(60-x)-sin(x+60)}{sin(x)cos(x)} \\= \frac{sin60cosx-cos60sinx)-sinxcos60-cosxsin60)}{sin(x)cos(x)} \\= \frac{-2cos60sinx)}{sin(x)cos(x)} \\= \frac{-2(1/2)sinx)}{sin(x)cos(x)} \\= \frac{-1}{cos(x)}\\= \frac{1}{cos(x)}\\ \\= -sec(x) Proved[/tex]
The Chimera Ant population is 7,500 and grows 3% each year. What will the population be after 3 years.
The square below has an area of 64-16x+x^264−16x+x 2 64, minus, 16, x, plus, x, squared square meters. What expression represents the length of one side of the square?
a circle has a diameter of 3.8n cm. what is the area of the circle?
Answer:
11.34 cm.
Step-by-step explanation:
have a nice dayyy!! :)
(b) A train of length 120 m is travelling at 144km/h.
It passes under a bridge of width 20m.
Find the time taken for the whole train to pass under the bridge.
Give your answer in seconds.
Answer:
3 seconds.
Step-by-step explanation:
First calculate the time for each 20m length to pass through the bridge.
The train takes 3600 seconds to travel 144,000 m
So it takes 3600/144000 seconds to travel 1m.
and 3600 * 20 / 144000 seconds to travel 20 m.
As the train is 120 m long and there are 6 * 20 m in 120m the answer is:
3600 * 20 * 6 / 144000 seconds.
= 3 seconds.
Solve for the values of x and y:
y = 3x - 5 ........(i) and y = -x + 7 ........(ii)
Answer:
x= 3, y= 4
Step-by-step explanation:
y= 3x -5 -----(i)
y= -x +7 -----(ii)
Substitute (i) into (ii):
3x -5= -x +7
3x +x= 7 +5
4x= 12
x= 12 ÷4 (÷4 on both sides)
x= 3
Substitute x= 3 into (ii):
y= -3 +7
y= 4
The graph of the function f(x)=5/4sin(x) is shown. What are the key features of this function?
The maximum value of the function is
The minimum value of the function is
On the interval (0. pi/2), the function is
The range of the function is
The maximum value of the function is 9/4.
The minimum value of the function is -1/4.
On the interval (0, pi/2), the function is strictly increasing.
The range of the function is [-1/4, 9/4].
Given function is:
[tex]y = \frac{5}{4} sin x +1[/tex]
What is the range of sin x?The range of sin x is [-1, 1].
So the range of [tex]\frac{5}{4} sin x[/tex] will be [-5/4, 5/4]
So the range of [tex]\frac{5}{4} sin x +1[/tex] will be [-5/4 + 1, 5/4 +1]
The range of [tex]\frac{5}{4} sin x +1[/tex] will be [-1/4, 9/4]
The maximum value of function = upper limit of the range of [tex]\frac{5}{4} sin x +1[/tex]
So, the maximum value of the function = 9/4
The minimum value of function = lower limit of the range of [tex]\frac{5}{4} sin x +1[/tex]
So, the minimum value of the function = -1/4
As we can see in the graph, in the interval (0, π/2) the function is strictly increasing.
Therefore, The maximum value of the function is 9/4.
The minimum value of the function is -1/4.
On the interval (0, pi/2), the function is increasing.
The range of the function is [-1/4, 9/4].
To get more about functions visit:
https://brainly.com/question/13536166
Dominic spent hours on his art project. Rachel worked times as long on her art project as Dominic worked. For how many hours did Rachel work on her art project?
Answer:
Rachel worked for [tex]3\frac{2}{3}[/tex] hours
Step-by-step explanation:
See comment for complete question
Given
Let
[tex]D = Dominic[/tex]
[tex]R = Rachel[/tex]
So:
[tex]D = 2\frac{3}{4}[/tex]
and
[tex]R =1\frac{1}{3}[/tex] as long as D
Required
Determine the number of hours spent by Rachel
This implies that:
[tex]R =1\frac{1}{3}[/tex] as long as D
Rewrite as:
[tex]R =1\frac{1}{3} * D[/tex]
Substitute: [tex]D = 2\frac{3}{4}[/tex]
[tex]R =1\frac{1}{3} * 2\frac{3}{4}[/tex]
Express as improper fraction
[tex]R =\frac{4}{3} * \frac{11}{4}[/tex]
This gives:
[tex]R =\frac{1}{3} * 11[/tex]
[tex]R =\frac{11}{3}[/tex]
Express as mixed numbers
[tex]R =3\frac{2}{3}[/tex]
Hence, Rachel worked for [tex]3\frac{2}{3}[/tex] hours
Is (x + 2) a factor of 3x3 + 4x2 - 4 ?
Answer:
No it is not a factor
Step-by-step explanation:
Reason for not being a factor is 3x^3-4x^2-4x. 3x3−4x2−4x 3 x 3 - 4 x 2 - 4 x. Factor x x out of 3x3−4x2−4x 3 x 3 - 4 x 2 - 4 x
Given the data set below, which is the best measure of center? 5, 1, 3, 2, 12, 10, 63, 2, 7
Answer:
5
Step-by-step explanation:
Answer:
5
hope it helped you out
...help me pls with this work i'm timed
Answer:
10 cm
Step-by-step explanation:
multiply first 4×2 which is Base. then multiply by 1 1/4 which is 10
A sports marketing company is interested in how many hours teenagers in a town spend watching sports. They randomly select 40 teenagers from this town and ask how many hours per week they spend watching sports. The mean amount is 6.25 hours with a standard deviation of 4.33 hours. Which of the following correctly interprets the 90% confidence interval for the true mean number of hours teenagers from this town watch sports?
90% of all teenagers from this town watch sports for the number of hours that lie between the values in the interval.
In repeated sampling, 90% of the time, the true mean number of hours teens from this town watch sports will be 6.25 hours.
The sports marketing company can be 90% confident that the constructed interval captures the true mean number of hours teens from this town watch sports.
In repeated sampling, 90% of the time the true mean number of hours teens from this town watch sports will be captured in the constructed interval.
Answer:
c. The sports marketing company can be 90% confident that the constructed interval captures the true mean number of hours teens from this town watch sports.
Step-by-step explanation:
got it right on edge
The statement third "sports marketing company can be 90% confident that the constructed interval captures the true mean number of hours teens from this town watch sports" is the correct.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
First, we will find the 90% confidence interval:
We have:
X = 6.25 hours, SD =4.33 hours, n = 40
90% confidence interval:
= (X±t×s/√n)
For 90% confidence interval:
t = t(n-1), 1-α/2 = t(39), 0.95 = 1.685
After putting all the values in the above confidence interval, formula:
We get:
Confidence interval = (5.097, 7.404)
Thus, the statement third "sports marketing company can be 90% confident that the constructed interval captures the true mean number of hours teens from this town watch sports" is the correct.
Learn more about the standard deviation here:
brainly.com/question/12402189
#SPJ2
Can someone please help me
Answer:
24
Step-by-step explanation:
Theo, Nancy, and Mary each drove separately to meet at their grandmother's house for dinner. Theo drove 50 miles, Nancy drove √2,840 miles, and Mary's route is shown below. A right triangle with side lengths 48 miles and 13 miles. The hypotenuse is labeled Mary's Route. Approximately how many miles did Mary drive to her grandmother's house? Order the distances that each family member drove to their grandmother's house from least to greatest.
Answer:
The distance between Mary's house and her grandmother's house is approximately 49.73 miles.
The 3 traveled the following distances:
Theo rode 50 miles, Mary drove 49.73 miles, and Nancy drove 53.299 miles.
Step-by-step explanation:
Mary's route is indeed the hypotenuse of a given triangle, that has a 13-mile adjacent hand and a 48-mile wrong side. They can solve for the length of the other side of the triangle using Pythagoras' theorem because we have two sides of the triangle.
Let us just say that triangle's ellipse is x square miles. Pythagoras's theory stated that
[tex]x = \sqrt{(13^2 + 48^2)} \\\\[/tex]
[tex]= \sqrt{169 + 2,304} \\\\ = \sqrt{2,473}\\\\ = 49.729\\[/tex]
Mary's route was 49.73 square miles, to sum it up.
Nancy drove [tex]\sqrt{2,840} \ miles = 53.2916 \ miles[/tex]
As a result, Mary rode the shortest distance of 49.73 miles, Theo drove 50 miles, and Nancy drove 53.299 miles.
Answer:
49.73
Mary, Theo, Nancy
Step-by-step explanation:
Approximately how many miles did Mary drive to her grandmother’s house?
✔ 49.73
Order the distances that each family member drove to their grandmother’s house from least to greatest.
✔ Mary, Theo, Nancy
can anyone help me on absolute deviation
Answer:
what do you need help with?
Step-by-step explanation:
what is 66.66 as a fraction
Answer:
The answer to this question is 3333/50
Answer:
66.66 as a fraction is [tex]{66}\frac{33}{50}[/tex]
Step-by-step explanation:
jerry has a water tank that holds 5 gallons of water. jerry drinks 4 pints of water a day. how many full tanks of water will he drink in 30 days?
Answer:
3
Step-by-step explanation:
first of all, 8 pints=1 gallon
multiply 4 by the number of days which is 30 so you get 120. then divide by 8 (pints) to find the number of gallons. you come out with 15 gallons. each tank has 5 gallons, so 15 divided by 5 is 3.
Solve the Inequality for x
x/2+3/2<5/2
Answer:
x<2
Step-by-step explanation:
I didnt feel like typing it out but the explanation is in the picture hope this helps :)
what is 1/3(w+18)=12
Mia got 28 questions correct on a 40 question test. What percent of the questions did she get correct?
Answer:
70%
Step-by-step explanation:
28/40 = 14/20 = 7/10 = 0.7 = 70%
Answer:
70%
Step-by-step explanation:
100% A+
Ri |Wr
ght|ong
39 1 97.5% A+
38 2 95% A
37 3 92.5% A-
36 4 90% A-
35 5 87.5% B+
34 6 85% B
33 7 82.5% B-
32 8 80% B-
31 9 77.5% C+
30 10 75% C
29 11 72.5% C-
28 12 70% C-
27 13 67.5% D+
26 14 65% D
25 15 62.5% D-
24 16 60% D-
23 17 57.5% F
22 18 55% F
21 19 52.5% F
20 20 50% F
19 21 47.5% F
18 22 45% F
17 23 42.5% F
16 24 40% F
15 25 37.5% F
14 26 35% F
13 27 32.5% F
12 28 30% F
11 29 27.5% F
10 30 25% F
9 31 22.5% F
8 32 20% F
7 33 17.5% F
6 34 15% F
5 35 12.5% F
4 36 10% F
3 37 7.5% F
2 38 5% F
1 39 2.5% F
0 40 0% F
Triangle
F
G
H
FGHF, G, H is similar to triangle
P
Q
R
PQRP, Q, R.
Solve for
y
yy.
y
=
y=y, equals
F
F
H
H
G
G
10
10
7
7
6
6
P
P
R
R
Q
Q
5
5
3.5
3.5
y
y
Show Calculator
Answer:
a
Step-by-step explanation:
worng worng
Which expression is equal to 4y?
y + 3
y2 + y2
3у + 1
y+ y + y + y
Answer:
D. y + y + y + y
Step-by-step explanation:
explain truth tables and how they work
A truth table is a way of organizing information to list out all possible scenarios. We title the first column p for proposition. In the second column we apply the operator to p, in this case it's ~p (read: not p). So as you can see if our premise begins as True and we negate it, we obtain False, and vice versa.
The half-life of a radioactive kind of krypton is 3 minutes. How much will be left after 6 minutes, if you start with 32 grams of it?
Answer:
8 grams
Step-by-step explanation:
The half-life of a radioactive kind of krypton is 3 minutes. How much will be l6eft after 6 minutes, if you start with 32 grams of it?
The formula is given as
Nt = No(1/2) ^t/t½
Nt = 32 × (1/2) ^6/3
Nt = 8 grams
50 POINTS FOR BRAINLIEST (also $45 prize given on a cash sending app)
use a calculator if needed
Javier estimates the square root of 18 in the following way:
18−−√=29–√=2∗3=6
18=29=2∗3=6
Explain why her reasoning is incorrect.
Without using a calculator, the square root of 18 will be between what two values (remember to look for perfect squares/perfect square roots)? Show your reasoning. You do not need to find the decimal equivalent of the root.
Answer:
The square root will be about 4 because the formula for square root is √(x^2) = x
Step-by-step explanation:
Answer:
√18 = √(2x9) = 3√2. so they pulled the 2 out of the square root incorrectly.
4x4 = 16
5x5 = 25
so √18 is between 4 and 5. closer to 4
Step-by-step explanation:
What is the solution for -3n = 12
Answer:
-4
Step-by-step explanation:
Answer:
n = -4
because
-3n=12
n=12/-3
n=-4
PLEASE HELP. Brainliest to whoever gives the best answer
real-world problems: 1 for the volume of a cone and 1 for the volume of a cylinder.
Answer:
See attached image.
Step-by-step explanation:
How about this answer to both? I've seen cylindrical-conic tanks in a local brewery. The tank is a cone with a cylinder on top. It's important to know the volumes of both the cylinder and the cone.
Write a system of equations that represents the situation.
The sum of two numbers is 15. The second number is equal to the first number plus 1.
Let x = the first number Let y = the second number
First sentence: Equation 1:
Second sentence: Equation 2:
Do not include spaces in your equations.
Part 2: Find the numbers. ( ,)
Answer:
See below.
Step-by-step explanation:
Let x = the first number
Let y = the second number
First sentence: Equation 1: x+y=15
Second sentence: Equation 2: y=x+1
Part 2: Find the numbers.
x + y = 15
y = x + 1
x + x + 1 = 15
2x + 1 = 15
2x = 14
x = 7
y = x + 1 = 7 + 1 = 8
The numbers are 7 and 8.
Answer:
x = 7
y = 8
Step-by-step explanation:
x + y = 15
y = x + 1
Part 2:
x + (x + 1) = 15
x + x + 1 - 1 = 15 - 1
2x = 14
2x/2 = 14/2
x = 7
y = 7 + 1
y = 8
Therefore, x = 7 and y = 8
The fine you must pay for hunting without a license went from $65 to $78. What percent of increase is this? Show your work.
Answer:
20%
Step-by-step explanation:
65 and 78 are both multiples of 13. Divide both by 13, we get 5 and 6.
If we use 5 as our main value (100%), 6 would be 120% as adding 1 to the main number (5) increases it by 20%. So 6 is a 20% increase from 5.
:D
Is 27 an irrational number?
Answer:
no
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
Its rational
If ur sqare rooting it than yes it is