Answer:
[tex]\cos(105^\circ)\approx-0.26\text{ and } \csc(105^\circ)\approx1.03[/tex]
Step-by-step explanation:
We are given that:
[tex]\cos(-105^\circ)\approx-0.26\text{ and } \csc(-105^\circ)\approx-1.03[/tex]
And we want to find:
[tex]\cos(105^\circ)\text{ and } \csc(105^\circ)[/tex]
Part A)
Remember that cosine (and secant) is an even function. By definition, this means that:
[tex]\cos(\theta^\circ)=\cos(-\theta^\circ)[/tex]
Therefore, since we know that cos(-105°) is about -0.26, it follows from the definition that:
[tex]\cos(-105^\circ)=\cos(105^\circ)\approx-0.26[/tex]
Part B)
Remember that cosecant (and sine) is an odd function. By definition, this means that:
[tex]\csc(-\theta^\circ)=-\csc(\theta^\circ)[/tex]
We know that csc(-105°) is about -1.03.
By the above definition, we can rewrite csc(105°) as csc(-(-105°)) or -csc(-105°).
Hence, it follows that:
[tex]\csc(105^\circ)=-\csc(-105^\circ)=-(-1.03)=1.03[/tex]
what’s the hypotenuse of c ?
Answer:
it would be A 160
Step-by-step explanation:
4 square plus + 12 square = 16+144=160
if dan was 4 years old 18 years ago, how old will he be 16 years from now?
Answer:
4+18 = 22 thats now in 16 years would be 38 years old
Step-by-step explanation:
Can somebody plz help answer both questions correct (only if u know how)
WILL MARK BRAINLIEST WHOEVER ANSWERS THEM FIRST.. promise :DD
divide the fraction like 4/5 and I'll give you decimal form and you could tell which one was bigger very quickly
SIMPLE QUESTION
Evaluate:
(square root of 99 - square root of 11)^2
Answer:
44
Step-by-step explanation:
[tex] (\sqrt{99} - \sqrt{11})^2 = [/tex]
[tex] = (\sqrt{9 \times 11} - \sqrt{11})^2 [/tex]
[tex] = (3\sqrt{11} - \sqrt{11})^2 [/tex]
[tex] = (2\sqrt{11})^2 [/tex]
[tex] = 2^2 \times (\sqrt{11})^2 [/tex]
[tex] = 4 \times 11 [/tex]
[tex] = 44 [/tex]
Answer: 44
PLEASE ANSWER RIGHT AWQY I WILL MARK YOU BRAINLIEST!!
une entreprise a dépensé en tout 14 400e en 2001 pour l'entretien de ses voitures a. recopier et compléter le tableau ci-dessous. b. calculer la dépense moyenne pour l'entretien d'une voiture. c. les dépense d'entretien ont été représentées dans le diagramme circulaire ci-contre, mais la légende a été effacée. rétablir cette légende.
a company spent a total of 14,400th in 2001 for the maintenance of its cars a. copy and complete the table below. b. calculate the average expense for car maintenance. vs. maintenance costs have been shown in the circular diagram opposite, but the legend has been deleted. restore this legend.Answer:
Step-by-step explanation:
a company spent a total of 14,400th in 2001 for the maintenance of its cars a. copy and complete the table below. b. calculate the average expense for car maintenance. vs. maintenance costs have been shown in the circular diagram opposite, but the legend has been deleted. restore this legend.
Please answer! solve for x
Answer:
it 180 degree try to add them all the subtract with 180 and that equals x
Step-by-step explanation:
Answer:
x = -10
Step-by-step explanation:
The angles of a triangle always add up to 180°. This means that (x+46) + 52 + 92 = 180.
First, subtract 92 from both sides of the equation to get (x+46) +52 = 88. Then, subtract 52 from both sides of the equation to get x + 46 = 36. Finally, subtract 46 from both sides of the equation to get x = -10
im really bad in math so could anyone help me please
how many solutions does the equation 2(9x-6)=18x+2 have??? Please help
Answer:
x=5.889
Step-by-step explanation:
2(9x6)=18x+2
108=18x+2
106=18x
x=106÷18
x=5.888888889
A dog eats 7 oz. Of dog food in 20 minutes. At this rate, how much food can the dog eat in 2 hours?
Answer:
bts
Step-by-step explanation:
BTSSS SSSSSSSTU6T
can someone help me with these two problems please!!!!!
Answer:
The question at the top is:
Factor
x 2 + 2 x − 63
using the AC method.
( x − 7 ) ( x + 9)
WHICH THE ANSWER IS (B)
The question at the bottom is:
Factor
x 2 + 18 x + 80
using the AC method.
( x + 8 ) ( x + 10 )
WHICH IS ANSWER (C)
Step-by-step explanation:
Hope this helped! :)
41 percent of 78 is what?
Answer:
31.98
Step-by-step explanation:
78 * .41 = 31.98
HELP MATH STIKES AGAIN!
Hotel A hotel charges $140 per night for the first two people and $10 for each additional person. Hotel B charges $80 per night for the first two people and $20 for each additional person. At how many additional people per night is the rent for the two rooms the same.
I will mark brainlyist for correct answer
Answer:
9
Step-by-step explanation:
Is this correct? I’m too tired and confused to understand this..
Answer:
yes
Step-by-step explanation:
I think ur right because ur smart :)
Answer:
yeah lol
Step-by-step explanation:
A satellite orbiting Earth has a period of 21 hours when its average distance is 3.8 × 107 m. Find the orbital period of a satellite when the average distance is 5.1 × 107 m. Use the law stating that the square of the time of orbit varies directly with the average radius cubed.
Answer:
hertygvgjsagjkefhuufcbfssdvmyjkixewd
ill offer 50 points plus 30 points for all of this
Answer:
0.64 Fraction: 16/25 Percent: 64%
55% Fraction: 11/20 Decimal: 0.55
0.16 Fraction: 4/25 Percent: 16%
17/100 Decimal: 0.17 Percent: 17%
0.35 Fraction: 7/20 Percent: 35%
28% Fraction: 7/25 Decimal: 0.28
62.5% Fraction: 5/8 Decimal: 0.625
Step-by-step explanation:
Answer:
0.64 Fraction: 16/25 Percent: 64%
55% Fraction: 11/20 Decimal: 0.55
0.16 Fraction: 4/25 Percent: 16%
17/100 Decimal: 0.17 Percent: 17%
0.35 Fraction: 7/20 Percent: 35%
28% Fraction: 7/25 Decimal: 0.28
62.5% Fraction: 5/8 Decimal: 0.625
Step-by-step explanation:
-2.5f + 0.2f - 13 - 8
Answer:
2.3f - 21
Step-by-step explanation:
Ellen takes a multiple-choice quiz that has 4 questions, with 3 answer choices for each question. What is the probability that she will get exactly 1 answer correct by guessing? Probabilities should be entered as fractions in simplest form, decimals rounded to the nearest thousandth, or percents rounded to the nearest tenth.
Answer: The probability is 32/81, or 0.395 in decimal form
Step-by-step explanation:
Each question has 3 answers.
one of the answers is correct, and 2 are incorrect.
Then the probability of selecting at random the correct answer, is equal to the quotient between the number of correct answers and the total number of answers, this is:
p = 1/3.
Then the probability of answering wrong is:
q = 1 - 1/3 = 2/3.
Now, we want to find the probability of answering exactly one question correctly.
Let's suppose that Ellen answers correctly the first question, and incorrectly the other 3.
then we have the probability 1/3 one time, and the probability 2/3 3 times.
And as we know, the joint probability will be equal to the product of the individual probabilities, this is:
P = (1/3)*(2/3)*(2/3)*(2/3).
But this is for the case where only the first one is answered correctly, we also have the cases where:
the 2nd is the only one answered correctly
the 3rd is the only one answered correctly
the 4th is the only one answered correctly.
Then we have 4 permutations, which means that the actual probability of answering only on question correctly is:
P' = 4*P = 4*(1/3)*(2/3)*(2/3)*(2/3) = (4*2*2*2)/(3*3*3*3) = 32/81 = 0.395
Suppose that an object is dropped from a height of h meters and hits the ground with a velocity of v meters per second. Then v = 19.6h. If an object is
dropped from a height of 35.9 meters, with what velocity does it hit the ground?
Round your answer to the nearest tenth.
Answer:
The object hits the ground with a velocity of 703.6 m/s.
Step-by-step explanation:
Evaluating Functions
The function that relates the velocity v in meters by second with the height h in meters an object was dropped from is:
v = 19.6h
We are required to evaluate the function above if we know the object was dropped from a height of h=35.9 meters.
Substituting in the equation:
v = 19.6*35.9
v = 703.64 m/s
Rounding to the nearest tenth:
The object hits the ground with a velocity of 703.6 m/s.
which expression is equivalent to 15+3x?
Answer:
There are no pictures
Step-by-step explanation:
Show a picture and I will help you.
The Expression Equivalent to 15+ 3x is 3(5+x).
What is Expression?In mathematics, an expression is a phrase that has at least two numbers or variables and at least one maths operation. Addition, subtraction, multiplication, or division are all examples of maths operations. An expression's structure is as follows:
(Number/variable, Math Operator, Number/variable) is an expression.
We have the Expression as,
15 + 3x
1. 3(5+ x)
Using Distributive property
15 + 3x
2. 5(3 +x)
Using Distributive property
15 + 5x
3. 3(5+ 3x)
Using Distributive property
15 + 9x
4. 5(3 + 3x)
Using Distributive property
15 + 15x
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ2
1 3/8 ÷ 1 2/3
quotient in lowest terms
Answer:
=33/40
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
118÷53
Applying the fractions formula for division,
=11×38×5
=33/40
=33/40
Heather purchased a sapphire bracelet during the Jewelry Emporium's Semi-Annual Clearance Sale. If Heather paid $149.50 for the bracelet and the original price is $230.00, how much of a discount did she receive?
A.
35%
B.
30%
C.
45%
D.
65%
She received a 35% discount (A).
A 10 meter piece of wire is cut in to two pieces. One piece is 2 meters longer than the other. How long are the pieces?
Answer:
Step-by-step explanation:
total metre = 10m
If one piece is 4m then 2m more then that = 4 + 2 = 6m
So total = 4 + 6 = 10m
answer the question correctly for good luck
If ‘c’ is directly proportional to‘d’ and c = 24 when d = 4
Find an equation connecting ‘c’ and ‘d’
Find ‘c’ when d = 8
Find ‘d’ when c = 54
Answer:
The equation connecting c and d is: c = kdThe value of c when d=8 is: 48The value of d when c=54 is: 9Step-by-step explanation:
Proportion can be defined as the effect of changing one quantity on the other.
Given that
‘c’ is directly proportional to‘d’
It can mathematically be written as:
c∝d
A constant is introduced in the equation when the proportionality symbol will be removed. The constant is called constant of proportionality
[tex]c =kd[/tex]
Given that
c = 24 when d = 4
Putting the values
[tex]24 = k(4)\\k = \frac{24}{4}\\k = 6[/tex]
Putting the value of k
[tex]c = 6d[/tex]
Putting d = 8
[tex]c = 6(8) = 48[/tex]
Putting c = 54
[tex]54 = 6d\\d = \frac{54}{6}\\d = 9[/tex]
Hence,
The equation connecting c and d is: c = kdThe value of c when d=8 is: 48The value of d when c=54 is: 9What are some ideas for my girlfriends Christmas present of little sayings I can put in a box in a box in a box in a box. For example, if I got my girlfriend a nose ring in one of the boxes, I could say nobody “nose” me like you do. PLEASE HELP, I NEED IDEAS ASAP, thank you!
Step-by-step explanation:
I don't think she want's a nose ring, Okay start by writing a pretty poem then Give a meaningful necklace. Girl like jewlry
!!! Answer fasttttt plzzz!!!!!!! Will give 20 points and Brainlyest!!!! Which division problem does the number line below best illustrate?
Answer:
10/2
Step-by-step explanation:
first 10/2=5
you divide 10 into 2 until you get 5 of such groups
Did I do this right???!
Answer:
idrk
Step-by-step explanation:
Given side lengths 4 units, 8 units, and x units, determine the range in which x must lie in order for a triangle to exist.
A)
X > 12
B)
0 < x <4
-4 < x < 0
D)
4 < x < 12
Answer:
C) 4 < x < 12
I need explanation + answer.
Do not write the answer without explanation, please.
thanks in advance!
Answer:
C. 22,400.
Step-by-step explanation:
62.9% = 0.629 as a decimal fraction.
Total number of employees in small businesses in the county
= 270 * 132.
So the estimated number with less than $1000 savings
= 270 * 132 * 0.629
= 22,417.
PLEAAseeeeeeeeeeeeeeeeeeeeeee
Answer:
[tex]1.25\cdot10^{5}[/tex] [tex]or[/tex] [tex]125000[/tex]
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
[tex]1)[/tex] [tex]64\cdot10^{6}[/tex] = [tex]64000000[/tex]
[tex]2 )[/tex] [tex]32\cdot10^{6}[/tex] = [tex]32000000[/tex]
[tex]3)[/tex] [tex]16\cdot10^{6}[/tex] = [tex]16000000[/tex]
[tex]4)[/tex] [tex]8\cdot10^{6}[/tex] = [tex]8000000[/tex]
[tex]5)[/tex] [tex]4\cdot10^{6}[/tex] = [tex]4000000[/tex]
[tex]6)[/tex] [tex]2\cdot10^{6}[/tex] = [tex]2000000[/tex]
[tex]7)[/tex] [tex]1\cdot10^{6}[/tex] = [tex]1000000[/tex]
[tex]8)[/tex] [tex]5\cdot10^{5}[/tex] = [tex]500000[/tex]
[tex]9)[/tex] [tex]2.5\cdot10^{5}[/tex] = [tex]250000[/tex]
[tex]10)[/tex] [tex]1.25\cdot10^{5}[/tex] = [tex]125000[/tex]
[tex]--------------------------------------------[/tex]
The way I solved this question was by dividing each scientific form by two.
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]