Answers
Answer:
[tex]\mathrm{d. \csc \theta =\frac{5}{3}}[/tex]
Step-by-step explanation:
In a right triangle only, the tangent of an angle is equal to its opposite side divided by its adjacent side. If [tex]\cot\theta =\frac{4}{3}[/tex] as given in the problem, then [tex]\tan \theta =\frac{3}{4}[/tex], because [tex]\tan \theta =\frac{1}{\cot \theta}[/tex]. Therefore, the opposite side of angle theta is 3 and its adjacent side is 4. Thus, the hypotenuse of the triangle must be [tex]h=\sqrt{4^2+3^2}=\sqrt{25}=5[/tex].
The sine of an angle in a right triangle is equal to its opposite side divided by its hypotenuse.
Therefore, [tex]\sin \theta =\frac{3}{5}[/tex] (o/h) and since [tex]\sin \theta =\frac{1}{\csc \theta}[/tex], we have:
[tex]\csc \theta=\frac{1}{\sin \theta}=\frac{1}{\frac{3}{5}}=\boxed{\frac{5}{3}}[/tex]
Related Questions
what term is used to best describe the spread of the data set?
A. Median
B. Mode
C. Mean
D. Range
Answers
I'm not that sure but I think the answer is Median (A)
Help please. It’s due tomorrow and I have in person class and I actually don’t understand. (It’s ok if not)
Answers
Answer:
I would’ve worked it out but it’s been years
Step-by-step explanation:
A quadrilateral is shown on the graph below. If the dimensions of this
quadrilateral are scaled by a factor of 2, which equation models the
effect this scaling has on the area of the figure.
Answers
Answer:
Area of the image rectangle = 4(Area of the original rectangle)
Step-by-step explanation:
Length of the rectangle given in the graph = 4 units
Width of the rectangle = 2 units
Area of the rectangle = Length × Width
= 4 × 2
= 8 square units
Since, scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]
2 = [tex]\frac{\text{Length of the image}}{\text{Length of the original}}[/tex]
Length of the image rectangle = 2(4)
= 8 units
Similarly, width of the image rectangle = 2(2)
= 4 units
Area of the image rectangle = 8 × 4
Area of the image = Area of the original × 4
Area of the image = 4(Area of the original)
Area of the image rectangle = 4(Area of the original rectangle)
There are 3000 student in the school 30% of the student are girls find
A) The total number of girl
B) The total number of student
Answers
Step-by-step explanation:
3000 [tex] 3000 \div 30 = 1000[/tex][tex]3000 \times 30 = 90000[/tex]Graph the line given by the equation: 2x+4y=-3
Answers
4y=-3-2x (/ all sides by 4)
y= -3/4 -2/4x (and simplify)
y= -1/2x -3/4
I hope this helped!
For what values of x and y are the triangles congruent
Answers
Answer: b maybe
Step-by-step explanation:
Answer:
D.) x=5, y=2
Step-by-step explanation:
Triangle ABC
Hypotenuse, 2(5) + 3 = 13
Base,4(2)+2= 10
Triangle DEF
Hypotenuse, 3(5) - 2 = 13
Base, 9(2) - 8 = 10
how many sixths are in 2 5/6?
Answers
Answer:
Respuesta. el resultado (17) va ser el numerdaor de la fraccion y el denominador se mantiene.
Step-by-step explanation:
Can y’all help me I don’t understand this bc I didn’t pay attention when we learned this..?
Answers
Answer: the answer is c
Step-by-step explanation:
9514 1404 393
Answer:
C. ≥
Step-by-step explanation:
The wording "at least" means the same as "greater than or equal to," both in English and in math. The latter is usually how we describe the symbol ≥.
So, when (something) is "at least" 18, the symbol to use to describe that is ...
(something) ≥ 18 . . . . . . matches choice C
It takes Chris 30 minutes to walk to work. If he drives, it takes him 1/3 of that time.
What is the latest time that Chris can leave to drive to work and arrive by 8:00?
Answers
Answer:
7:50
Step-by-step explanation:
cause.....
30/3=10
8:00- 10 min = 7:50
Help ! ASAP ! I need it down by 1:10 !
Answers
Answer:
16. r = 20, t = 48
17. a = 104, b = 175
19. 144/252, 20/35
20. 14/21, 18/27
21. 16/48, 12/36
22. 219 grams
23. 5 milligrams
Step-by-step explanation:
Answer:
16. r = 20
t = 48
17. a = 104
b = 175
19. [tex]\frac{144}{20} =\frac{252}{35}[/tex]
7.2 = 7.2
20. [tex]\frac{27}{18}= \frac{21}{14}[/tex]
1.5 = 1.5
21. [tex]\frac{48}{16} =\frac{36}{12}[/tex]
3 = 3
22. [tex]\frac{8}{3} :\frac{584}{y}[/tex]
219 grams of peanuts
23. [tex]\frac{y}{2}: \frac{200}{80}[/tex]
50 milligrams of medication
Step-by-step explanation:
16. [tex]\frac{r}{32} =\frac{5}{8} =\frac{30}{t}[/tex]
8 · 4 = 32
5 · 4 = 20
r = 20
5 · 6 = 30
8 · 6 = 48
t = 48
17. [tex]\frac{52}{a} =\frac{10}{20} =\frac{b}{350}[/tex]
Here is a different method.
[tex]\frac{10}{20} =\frac{1}{2}[/tex]
52 · 2 = 104
a = 104
350 ÷ 2 = 175
b = 175
22.
[tex]\frac{8}{3} :\frac{584}{y}[/tex]
8 · y = 3 · 584
8y = 1752
8y ÷ 8 = 1752 ÷ 8
y = 219
23.
[tex]\frac{y}{2}: \frac{200}{80}[/tex]
y · 80 = 200 · 20
80y = 4000
80y ÷ 80 = 4000 ÷ 80
y = 50
what's the value of "x"? Show all your work.
Answers
Answer:
x=9
Step-by-step explanation:
a²+b²=c²
x²+6²=(√117)²
x²+36=117
x²=81
x=9
Answer:
3[tex]\sqrt{17}[/tex] or 12.37 cm
Step-by-step explanation:
use the Pythagorean Theorem:
6² + [tex]\sqrt{117}[/tex]² = x²
36 + 117 = x²
x² = 153
x = [tex]\sqrt{153}[/tex] which is [tex]\sqrt{9}[/tex][tex]\sqrt{17}[/tex] or 3[tex]\sqrt{17}[/tex]
in decimal form, 'x' is approx 12.37
If x=7, what does y equal in the following equation?"
2x + 4y = -6
y=-2
y=-3
y4
y=-5
Answers
y = -5
...................
2(7)+4y=-6
14+4y=-6, multiple
4y=-20, subtract
y=-5, divide
4x2+4x+1=0
Click all that apply
Answers
Answer: x=-1/2
Step-by-step explanation: Use the quadratic formula to get -4+the square root of zero divided by 2 times 4. Simplify to get -1/2 (hope this helps)
two movie theaters each surveyed 21 customers to determine their ages the table shows a summary of the results
Answers
Answer:
narrower
SD is greater
From the above data we get the correct options are narrower SD is greater.
We have given that,
Two movie theaters each surveyed 21 customers to determine their ages the table shows a summary of the results.
What is the meaning of the survey?
A survey is a research method used for collecting data from a predefined group of respondents to gain information and insights into various topics of interest.
Therefore from the above data we get the correct options are narrower SD is greater.
To learn more about the data visit:
https://brainly.com/question/19243813
#SPJ2
PLLLLLLLS HELP WILL GIVE BRAILEST 20 POINTS
colby is standing next to a water tower, he is 6ft tall and casts a 3 foot shadow.
if the water tow cast a 60 foot tall shadow, how tall is the tower?
30
120
180
240
Answers
Answer:
the water tower casts 60 ft shadow its 120 ft tall
Step-by-step explanation:
Answer:
180 I hope this is the correct answer
Can someone please help!! Due tonight!! I’ll give brainliest
Answers
Answer: 1) Using the order of operations, you first have to multiply the amount of each item by it's price, and then add those values. So for Pablo, you would do (0.50 x 1) + (0.75 x 3) + (1.25 x 3) and solve within the parentheses to get .50+2.25+3.75=$6.50
2) For Laurie, use the same method from #1. First multiply and then add, like so: (0.5 x 2) + (1.25 x 3) + (0.75 x 3) ---> 1+3.75+2.25, which equals $7
3) Laurie > Pablo
$7.00 > $6.50
Step-by-step explanation:
The term order of operations is also known as PEMDAS
Parentheses
Exponents
M/D - Multiplication/Division (whichever comes first in the equation)
A/S - Addition/Subtraction (whichever comes first)
Hope this helps!
The ecology club wants to collect 200 bags of trash for a cleanup.Before lunch they collected 87 bags.After lunch they collected 95 more bags.
How many more bags does the club need to reach 200 bags total?
Answers
Answer:
18 more bags
Step-by-step explanation:
87 + 95 = 182
200 - 182 = 18
Ivan says that the shape at the right is n octagon. Do you agree or disagree? Explain
Answers
Answer:
Disagree
Step-by-step explanation:
An octagon has eight sides while the shape on the right has nine sides.
Answer:
No
Step-by-step explanation:
The shape shown in the picture has 9 sides(you can count) and therefore is not an octagon because octagons only have 8 sides.
PLEASE ASAP ILL GIVE BRAINLIEST.
Answers
Answer:
A basket ball being held
Step-by-step explanation:
Hope this helps you out
What value of x makes the equation x+ 38 = 72 true?
Answers
Answer:
x = 34
Step-by-step explanation:
Given
x + 38 = 72 ( subtract 38 from both sides )
x = 34
Answer:
X=34
Step-by-step explanation:
Well, what you can do is bring the 38 to the other side and make it negative so you can subtract 38 with the 72. The 72-38 is= 34 and so x= 34
x+38=72
x=72-38
x=34
Hope this helps! ^^
Let alpha and beta be the radiant measures of two angles. Then sin left parenthesis 2 alpha plus 2 beta right parenthesis is equal to
Answers
Answer:
sin2αcos2β + cos2αsin2β
Step-by-step explanation:
Given that
sin(A+B) = sinA cos B + cos A sinB
According to the question;
sin(2α+2β) = sin2αcos2β + cos2αsin2β
where A = 2α and B = 2β
in 2decimal places 39.98015
Answers
Answer:
39.98
Explanation:
39.98015
0 < 5, so 2nd decimal stays at 8
Answer:39.98
Step-by-step explanation:
Hey! I’m not exactly sure what you’re asking, but if the question is how to write that number in only two decimal places, it would be 39.98. We would round it up or down in the hundredths place because that is the second decimal place. Since the number behind the 8 is 0, we can’t round up or down so we would just leave it how it is and cut off the rest.
Hope this helped! :D
Sorry it I didn’t answer what you were asking! You can comment and I will answer any further questions!
answer the question
1,000,000-2+5
Answers
Answer:
using BODMAS, addition comes before subtraction. 2+5 is 7 and 1000000 - 7 is 999,993
1000000+3=1000003
Brainliest please
A chemist has a solution that has 0.55 grams of alcohol per 1 mL of solution. If she needs 975 mg of
alcohol, how much solution does she need? Round your answer to the nearest hundredth. (1 gram = 1,000
milligrams)
Answers
Answer: 5000000
Step-by-step explanation:
0.55 x 1
975 = 5000000
In a candy store, a $12.00 jar of candy is labeled, "30% off." What is the discount as a dollar amount?
Answers
Answer:
8.40
Step-by-step explanation: This means the cost of the item to you is $8.4. You will pay $8.4 for a item with original price of $12 when discounted 30%. In this example, if you buy an item at $12 with 30% discount, you will pay 12 - 3.6 = 8.4 dollars.
Answer:
The new total will be $8.40.
Step-by-step explanation:
The 30% off discount gives you $3.60 off of your purchase.
What is the perimeter of this shape?
1. 180 square inches
2. 190 square inches
3. 1200 square inches
4. 1120 square inches
Answers
Because to get this answer you would have to find the outer sides which are 40 and 22 you get these by subtracting the missing lengths in the irregular shape
0.125 C of charge flow out of a
5.00 V battery in 6.30 s. How
much resistance is attached to the
battery?
Answers
[tex] \huge \mathrm{\longmapsto \: Answer}[/tex]
Charge (q) = 0.125 CTime (t) = 6.30 secPotential difference (v) = 5.00 Velectric current (i) = ?resistance (r) = ?_____________________________
We know,
[tex] \boxed{\mathrm{current = \dfrac{charge}{time}} }[/tex]
[tex]i = \dfrac{0.125}{6.30} [/tex][tex]i = \dfrac{125}{6300} [/tex]Now,
[tex] \boxed{ \mathrm{potential \: \: difference = i\times r}}[/tex]
[tex]5 = \dfrac{125}{6300} \times r[/tex][tex]r = \dfrac{5 \times 6300}{125} [/tex][tex]r = \dfrac{6300}{25} [/tex][tex] \boxed{ \mathrm {r = 252 \: \: ohms}}[/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
Select the correct answer.
Pentagon ABCDE is similar to pentagon PQRST. If the side length of pentagon ABCDE is 6 times the side length of pentagon PQRST, which
statement is true?
.A
The area of pentagon ABCDE is 6 times the area of pentagon PQRST
The area of pentagon ABCDE is 12 times the area of pentagon PQRST.
Ос.
The area of pentagon ABCDE is 36 times the area of pentagon PQRST.
D.
The area of pentagon ABCDE is 216 times the area of pentagon PQRST,
Answers
Answer: c
Step-by-step explanation:
The area of pentagon ABCDE is 36 times the area of pentagon PQRST. Therefore, the option C is the correct answer.
What is a pentagon?Any five-sided polygon or 5-gon is referred to as a pentagon. A basic pentagon's interior angles add up to 540°. A pentagon might be straightforward or self-intersecting.
We know the formula for the area of a pentagon, therefore, the area of the pentagon PQRST can be written as,
A= 1/4 ×√(5(5+25)×a²
Given that the side of the side length of pentagon ABCDE is 6 times the side length of pentagon PQRST, therefore, the area of the pentagon ABCDE can be written as,
Area of a ABCDE = 1/4 ×√(5(5+25)×(6a)²
= 1/4 ×√(5(5+25)×36a²
= 36A
Therefore, the option C is the correct answer.
Learn more about the Pentagon here:
brainly.com/question/12657453
#SPJ5
ANSWER QUICKLY PLEASEEEE
Asia is the largest of the world's seven continents with an area of approximately 1.7x107 square miles. Aus
smallest continent, has an area of approximately 3.1 x 106 square miles.
How much larger is Asia than Australia? Express the answer in scientific notation.
1.40 x 106 square miles
2.93 x 10 square miles
1.39% 107 square miles
O 2.01 x 107 square miles
Answers
Answer:
it would be c
Step-by-step explanation:
Answer:
A first-order observation is that earthquakes and volcanoes occur across most of the continental region, and in parts of the oceanic region offshore East Africa.
Step-by-step explanation:
Ο Ο
ω
I need help with this!
Answers
Answer:
4.25
Step-by-step explanation:
Since this is a parallelogram, the parallel sides have the same value.
And since the perimeter of a parallelogram is all of the sides combined, this means
WR + RJ + JS + WS, or
5x + 5x + 3x + 2 + 3x +2 = 16x + 4
The perimeter is 16, so
16x + 4 = 16
16x = 12
x = 0.75
Substitute into 3x + 2, or WS.
2.25 + 2 = WS
WS = 4.25
Step-by-step explanation:
perimeter of parallelogram =16
2(WR+RJ)=162(5x+3x+2)=1610x+6x+4=1616x=16-4x=12/16x=3/4so value of WS=3x+2
3×3/4+24.25cmhope it helps
stay safe healthy and happy.