Answer:
tan 0 = -2.4
sin 0 = 0.42
Step-by-step explanation:
sec 0 = -13/12 => cos 0 = -12/13
cot 0 < 0 => tan 0 < 0
so, the angle is on second quadrant
=> tan 0 = -12/5 = -2.4
=> sin 0 = 5/12 = 0.42
Answer:
Solution given;
Sec θ=-[tex]\frac{13}{12}[/tex]
cotθ< 0,
It lies in second quadrant.
where sin and cosec is positive.
Now
[tex] \frac{1}{cosθ}=-\frac{13}{12}[/tex]
cosθ=[tex]\frac{12}{13}[/tex]
[tex]\frac{b}{h}[/tex]=[tex]\frac{12}{13}[/tex]
b=12
h=13
By using Pythagoras law
p=[tex] \sqrt{13²-12²}=5 [/tex]
Now
exact values of tan θ=[tex]\frac{p}{b}[/tex]=[tex]\frac{5}{12}[/tex]
since it lies in II quadrant
tan θ=-[tex]\frac{5}{12}[/tex]
and
sinθ=[tex]\frac{p}{h}[/tex]=[tex]\frac{5}{13}[/tex]
since it lies in II quadrant
sin θ=[tex]\frac{5}{13}[/tex]
If a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate (in cm/min) at which the diameter decreases when the diameter is 10 cm. (Round your answer to three decimal places.)
Answer:
The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.
Step-by-step explanation:
Surface area of an snowball:
An snowball has spherical format. The surface area of an sphere is given by:
[tex]S = d^2\pi[/tex]
In which d is the diameter of the sphere.
In this question:
We need to differentiate S implicitly in function of time. So
[tex]\frac{dS}{dt} = 2d\pi\frac{dd}{dt}[/tex]
Surface area decreases at a rate of 9 cm2/min
This means that [tex]\frac{dS}{dt} = -9[/tex]
At which the diameter decreases when the diameter is 10 cm?
This is [tex]\frac{dd}{dt}[/tex] when [tex]d = 10[/tex]. So
[tex]\frac{dS}{dt} = 2d\pi\frac{dd}{dt}[/tex]
[tex]-9 = 2(10)\pi\frac{dd}{dt}[/tex]
[tex]\frac{dd}{dt} = -\frac{9}{20\pi}[/tex]
[tex]\frac{dd}{dt} = -0.143[/tex]
Area in cm², so diameter in cm.
The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.
SOMEBODY PLEASE HELP I NEED THIS ASAP
Answer:
a = 1000 cm²
Step-by-step explanation:
Center square
20 * 20 = 400cm²
------------------------
Triangle side
a = (1/2)(20)(15)
a = 150
There are 4 sides
a = 4 * 150
a = 600 cm²
-----------------------
Total area
a = 400 - 600
a = 1000 cm²
Find the volume of the sphere.
r= 6 cm
Formulas for Spheres
S.A. = 4tr?
V = [?] cm3
Round to the nearest tenth.
V = Arr
Answer:
904.8cm^3
Step-by-step explanation:
[tex] \frac{4}{3} \pi{(6)}^{3} \\ \frac{4}{3} \pi(216) \\ \frac{864}{3} \pi \\ 288\pi \\ 904.8 {cm}^{3} [/tex]
The volume of the sphere will be 904.32 cubic cm.
What is the volume of the sphere?Let r be the radius of the sphere. Then the volume of the sphere will be given as,
V = 4/3 πr³ cubic units
The radius of the sphere is 6 cm. Then the volume of the sphere is calculated as,
V = 4/3 x 3.14 x 6³
V = 904.32 cubic cm
The volume of the sphere will be 904.32 cubic cm.
More about the volume of the sphere link is given below.
https://brainly.com/question/9994313
#SPJ7
Ms. Jimenez surveyed 430 men and 200 women about their vehicles. Of those surveyed, 160 men and 85 women said that they own a white vehicle.
Answer:
3/7
Step-by-step explanation:
430 +200 = 630 (630 people in all)
430-160 =270 (270 men NO WHITE CAR)
270/630 = 3/7
The route between the park and Josh's house is 81 meters. He walks this route 4 times on Saturday. How far does Josh walk between the park and his house on Saturday? Enter your answer in the box.
Answer:
648 m.
Step-by-step explanation:
Each walk = 2*81 = 162 m.
So total for 4 walks = 4 * 162
= 648 m.
Answer:
Josh walked 324 meters
Step-by-step explanation:
81×4= 324
Simplify. State any restrictions on the variables.
[tex]\frac{x^2+9x+18}{x+6}[/tex]
Answer: [tex]x+3, x \neq -6[/tex]
Step-by-step explanation:
The denominator cannot equal 0, so [tex]x \neq -6[/tex].
Simplfying,
[tex]\frac{x^2 +9x+18}{x+6}=\frac{(x+6)(x+3)}{x+6}=x+3[/tex]
When filled to capacity, the water in the aquarium water tank reaches 32 feet. The water is currently reaching 24 feet. What percentage of the tank is full? A 70% C 75% B 25% D 80% 28
Answer:
75%
Step-by-step explanation:
24/32 * 100%
75%
What is the domain of the function y=7x-1
Answer:
Ahh I did this about a year ago but try math-way (without -) it gives the correct answers sorry I couldn't help more.
Plz help me well mark brainliest if correct...???
Answer:
D) 225
Step-by-step explanation:
Given in chart. The box at column "Milk Sold" and row "Friday" has the number 225 in it. Cumulative milk sold refers to the total number of milk sold through the entire chart (from top to bottom) so far. The question is asking for how many milks were sold on Friday specifically, so we want the "Milk Sold" column.
The living room in a new house has the dimensions shown. What is the volume of the room?
thirty 5 points for this answer. no links.
4(a-2) = 2(a-4) + 2a
Answer:
a = 0
Step-by-step explanation:
4(a-2) = 2(a-4) + 2a
4a - 8 = 2a - 8 + 2a
4a - 2a - 2a = -8 + 8
0 = 0
This has infinitely many solutions.
Step-by-step explanation:
Any number you put for a would work to make them equal. Feel free to try it.
What combination of transformations is shown below?
Answer:
Correct answer is "reflection, then rotation".
Step-by-step explanation:
The figure shows the following two operations:
1) Reflection through central horizontal line. ([tex]1 \to 2[/tex])
2) Rotation with center at the upper left corner of the reflected figure. ([tex]2 \to 3[/tex])
Therefore, correct answer is "reflection, then rotation".
y = 1/2x + 1 and 2y - x = 6 How many solutions does this system have?(: -none, one, or ifinite?
Answer:
none
Step-by-step explanation:
___________________
Identify the two pairs of complementary angles in the figure above. Justify your answer.
Answer:
1st pair of complementary angles: ∠c + ∠d
2nd pair of complementary angles: ∠g + ∠h
Step-by-step explanation:
the two solid lines are perpendicular, creating 4 right angles
1st pair of complementary angles: ∠c + ∠d
2nd pair of complementary angles: ∠g + ∠h
Which is the m WZY? Need quick answers!!
Answer:
B. 55°
Step-by-step explanation:
Recall: relationship between inscribed angle and the measure of the intercepted arc [(inscribed angle = ½(intercepted arc)]
Inscribed angle = m<WZY
Intercepted arc = arc WY = 110°
Therefore:
m<WZY = ½110°)
m<WZY = 55°
Which expression is equivalent to (3a)-2
Answer:
1/9a2
Step-by-step explanation:
I'm not sure if there's supposed to be a list of answers, but 1/9a2 is one. Hope this helps! Let me know if there was supposed to be a list.
Answer:
removing of bracket
Step-by-step explanation:
(3a)-2
3a×(-2)
-6a
Find the difference when we subtract 38,40,159 from the number formed by reversing its digits.
Answer:
5,670,279
Step-by-step explanation:
3,840,159 reversed is, 9,510,483 so, 9,510,483 - 3,840,159 = 5,670,279
What are the solutions of the equation
x2-1=15?
Answer:
x=4, -4
Step-by-step explanation:
hope this helps!
PLEASE HELP IM BEING TIMED
composite figure help omg
Answer:
188 sq m
Step-by-step explanation:
for the top square its just 6 x 6 which is 36
then for the bottom you add 6 + 13 for the width (which is 19) and we've already been given 8 for the height so then you multiply 19 x 8 and get 152
you then add 152 and 36 to get 188 (and the unit is sq m or m^2)
50 POINTS !
PLEASE HELP ILL GIVE BRAINLIEST !! EXPLAIN YOUR ANSWER .
FAKE ANSWERS WILL GET REPORTED.
Answer:
cap it's only 5
Step-by-step explanation:
Answer:
I think she drove 65 mile.
Step-by-step explanation:
I used a piece of paper and drew a triangle. One side 25 and another 60.
Then i used the Pythagorean theorem.
Which does NOT have a value of 4 when
simplified?
1. 5.6x0.15 + (-3.16)
1. (-7x23) + (-43)
III. -5.6+4(3)
Answer:
3 beause when you dividend it -5.6+4(3) .
450 high school freshmen were randomly selected for a national survey. Among survey participants, the mean grade-point average (GPA) was 2.96, and the standard deviation was 0.21. What is the margin of error, assuming a 70% confidence level, to the nearest hundredth
Answer:
The margin of error is of 0.01.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.7}{2} = 0.15[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.15 = 0.85[/tex], so Z = 1.037.
The margin of error is of:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Standard deviation was 0.21.
This means that [tex]\sigma = 0.21[/tex]
Sample of 450:
This means that [tex]n = 450[/tex]
What is the margin of error, assuming a 70% confidence level, to the nearest hundredth?
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 1.037\frac{0.21}{\sqrt{450}}[/tex]
[tex]M = 0.01[/tex]
The margin of error is of 0.01.
Enter the number that belongs in the green box
Answer:
m<B = 107°
Step-by-step explanation:
∆ADC is congruent to ∆ABC by the SSS Congruence Theorem.
<D corresponds to <B, therefore,
m<D = m<B
m<D = 180° - (41° + 32°)
m<D = 180° - 73°
m<D = 107°
m<D = m<B = 107°
m<B = 107°
PLEASE HELP !! I will give Brainly to whoever answers
Answer:
A
Step-by-step explanation:
According to the Centers for Disease control and prevention, 20.8 of high school students currently use electronic cigarettes. A high school counselor is concerned that the use of e-cigs at her school is higher.
(a) Determine the null and alternative hypotheses.
(b) If the sample data indicate that the null hypothesis should not be rejected, state the conclusion of the school counselor.
(c) Suppose, in fact, that the proportion of students at the counselor's high school who use electronic cigarettes is 0.034. Was a Type I or Type II error committed?
Answer:
H0 : p = 0.028
H1: p > 0.028
We conclude that there is not enough evidence to support the school counselor's claim they the use of electronic cigarettes in high school is higher Than 2.8%
Type 11 error
Step-by-step explanation:
H0 : p = 0.028
H1: p > 0.028
If null should not be rejected then;
We conclude that there is not enough evidence to support the school counselor's claim they the use of electronic cigarettes in high school is higher Than 2.8%
3.)
If the actual proportion is 0.034, which means 3.4%, this means it is actually higher. For failing to reject a false Null, then a type 11 error has been committed
Yoko started an assignment at 8:34 AM and finished it at 9:21 AM.
How long did it take her? Give your answer in minutes.
Answer:
She started at 8:34 and finished at 9:21, with some simple math.. the answer is 47 minutes
I need the work and answers fast
A disc is thrown into the air with an upward velocity of 20 ft/s. It's
height h in feet after t seconds is given by the function h=-16t^2+20t+6.
1. How long will it take the disc to reach the maximum height?
2. What is the maximum height that the disc reaches?
3. How long does it take for the disc to hit the ground?
Thank you
what is the median of 72 27 24 11 14 and 12
Answer: 19
Step-by-step explanation: Since there is no one middle number we have to find the mean of the two middle numbers. Once you find the mean for 24 and 11 you will see that the answer is 19.
Answer:
The median is the middle number in numerical order.
Numerical order - [tex]11,12,14,24,27,72[/tex]
There are 6 numbers.
The median is 19.
<3 Help! A teacher buys 8 packs of orange erasers
Answer:
360 total numbers of easers
Step-by-step explanation:
You first do
8 x 24
which equals
192
then do
6 x 28
which equals
168
then you take
168 + 192
then that will be
360
you are welcome