Answers
Answer:
Well, for triangle rectangles, we have the relations:
Cos(A) = (adjacent cathetus)/(hypotenuse)
Sin(A) = (opposite cathetus)/(hypotenuse)
Tan(A) = (opposite cathetus)/(adjacent cathetus)
Where the adjacent cathetus is the cathetus that is adjacent to the angle, the opposite cathetus is the one that is opposite to the angle, and the hypotenuse is the side that is opposite to the 90° angle.
Here we want to solve 3 to 9.
3) We want to find values sin(D) and sin(E) in that triangle.
Remember the above relationship for the sin function, here will have:
sin(D) = 12/15 = 0.8
sin(E) = 9/15 = 0.6
4)
Sin(E) = 12/37 = 0.3243
Sin(D) = 35/37 = 0.9459
5)
Sin(E) = 45/53 = 0.8491
Sin(D) = 28/53 = 0.5283
6)
Remember that: Sin(A) = (opposite cathetus)/(hypotenuse)
In the image, 5 is the adjacent cathetus to the angle A, and the opposite cathetus to angle A is the one in front of it, 12, then the equation should be:
Sin(A) = 12/13
Now we should use the cosine relationship:
Cos(A) = (adjacent cathetus)/(hypotenuse)
7)
Cos(X) = 27/45 = 0.6
Cos(Y) = 36/45 = 0.8
8)
Cos(X) = 15/17 = 0.824
Cos(Y) = 8/17 = 0.4706
9)
Cos(X) = 13/26 = 0.5
Cos(Y) = (13*√3)/26 = 0.866
Related Questions
Mark took his family to the movies and spent a total of 78$ on tickets he also bought a soda for each family member each sodas cost 4.25 if mark spent a total of 102,50 on sodas and tickets. How much sodas did he buy
Answers
Answer: He bought about 6 sodas.
Step-by-step explanation:
Given: Tota cost of tickets = $ 78
Cost of each soda = $4.25
Total cost of sodas and tickets = 102.50
Let x = Number of sodas purchased
Then
[tex]78+4.25x=102.50\\\\\Rightarrow\ 4.25x=102.50-78\\\\\Rightarrow\ 4.25x=24.5\\\\\Rightarrow\ x= \dfrac{24.5}{4.25}\\\\\Rightarrow\ x\approx6[/tex]
Hence, he bought about 6 sodas.
Help please! See attached photo
Answers
Hope this helps :)
Find cos x and cos y! Please help me out! You don’t need to answer all just what you can :)
Answers
Answer:
7. cos(X) = 3/5 = 0.6
cos(Y) = 4/5 = 0.8
8. cos(X) = 15/17 ≈ 0.8824
cos(Y) = 8/17 ≈ 0.4706
9. cos(X) = 1/2 = 0.5
cos(Y) = (√3)/2 ≈ 0.8660
Step-by-step explanation:
The trigonometric ratio for cosine is given as follows;
[tex]Cos(\theta) = \dfrac{Adjacent\, side \, to\, angle}{Hypothenus\, side \, length \ of\, the \ triangle}[/tex]
7. The adjacent leg length to ∠X = 27
The length of the hypotenuse side of the triangle = 45
∴ cos(X) = 27/45 = 3/5 = 0.6
Cos(X) = 3/5 = 0.6
The adjacent leg length to ∠Y = 36
∴ cos(Y) = 36/45 = 4/5 = 0.8
cos(Y) = 4/5 = 0.8
8. The adjacent leg length to ∠X = 15
The length of the hypotenuse side of the triangle = 17
∴ cos(X) = 15/17 ≈ 0.8824
The adjacent leg length to ∠Y = 8
∴ cos(Y) = 8/17 ≈ 0.4706
9. The adjacent leg length to ∠X = 13
The length of the hypotenuse side of the triangle = 26
∴ cos(X) = 13/26 = 1/2 = 0.5
Cos(X) = 1/2 = 0.5
The adjacent leg length to ∠Y = 13·√3
∴ cos(Y) = 13·√3/26 = (√3)/2 ≈ 0.8660
cos(Y) = (√3)/2 ≈ 0.8660.
if <TIS = 48°, Complementary TIS = ?
Answers
it won’t let me do short answer
Step-by-step explanation:
complementary angle = 90 - angle
= 90- 48= 42 °
hope this will be helpful to you .
plz mark my answer as brainlist if you find it useful.
I need help asap plz! This is due today.
"If you want addition to be done before multiplication, what do you need to add to the problem?"
Answers
Answer:
You need to add Parentheses..
As you know PEMDAS states that multiplication will always go first when compared to addition unless you put Parentheses which overrules Multiplication
Step-by-step explanation:
2*6+4
you do multiplication first and get the answer 16 after addition
But if you do this: 2*(6+4) you do the addition before the multiplication because of the Parentheses and get 20. One small change can make the answer a whole lot more different
Which expressions are equivalent to 6 ^ 16? Check all that apply.
Answers
Answer:
the first one -4 and -4
Step-by-step explanation:
-4 times -4 is 16 because the negatives cancel out
0.74 x 0.422 =
Who ever answers will be brainiest
Answers
Answer:
0.30384
Step-by-step explanation:
uwu
Answer:
0.31228
Step-by-step explanation:
convert them into fractions: 74/100 * 422/1000simplify : 37/500 * 211/500multiply your answerYes i'm the brainiest
Tell me if i'm wrong
which of the following statements is not true
Answers
Answer:
2nd option is the answer
Step-by-step explanation:
Find the product -10 x (-12)
Answers
x²-6x-72
Step-by-step explanation:
(x+6)(x-12)
(x×x)-(x×12)+(6×x)-(6×12)
x²-12x+6x-72
x²-6x-72
Answer:
120
Step-by-step explanation:
The rules of multiplication state, that when there are two negatives being multiplied by each other, they become positive. You will multiply -10 x -12, and since there are two negatives, they cancel out.
Now it becomes simple multiplication. Simply multiply 10 x 12, without the negatives since they have been canceled out.
-10 x (-12) = 120
I got my ASVAB score back today... And I got a 21%... someone loves kill me now. But I didn't really have time to study for it, because my teachers offered for me to take it early and I did and now I have failed D:
Answers
Answer:
dang thats tough..
Step-by-step explanation:
idrk what an asvab is but it sounds horrible im
sorry that happened :(
Find the measure of the missing angle.
70
C b
Answers
Answer:
attachment?
Step-by-step explanation:
Mr Lim put some red pens and blue pens into a box . The ratio of the number of red pens to the number of blue pens was 3: 4 .He pet another 20 red pens into the box and the ratio of the number of red pens to the number of blue pens became 2:1 (a) How many red pens were there in the end? (b) How many blue pens were there?
Answers
Answer:
a) There were 32 red pens and b) 16 blue pens.
Step-by-step explanation:
3:4
for 3:4 to be 2:1 we should add 5 in order for it to be 8:4 (2:1)
20 divided by 5 is equal to 4
8:4
8 times 4 is equal to 32
4 times 4 is equal to 16
The number of red pens that were there, in the end, is 32 pens while the number of blue pens that were there, in the end, is 16 pens
If the ratio of the number of red pens to the number of blue pens was 3: 4,
If 20 red pens are added into the box and the ratio of the number of red pens to the number of blue pens became 2:1, this means that the 5 is added to the original ratio to have:
(5+3): 4 = 8:4
The number of red pens in the end = [tex]8 \times \frac{20}{5}=8\times 4 = 32[/tex]
The number of red pens in the end = [tex]4 \times \frac{20}{5}=4\times 4 = 16[/tex]
Hence the number of red pens that were there, in the end, is 32 pens while the number of blue pens that were there, in the end, is 16 pens
Learn more here:
https://brainly.com/question/3796978
Tallulah biked 84 miles at a rate of 10.5 miles per hour. Determine how many hours she biked. Use d=rt
Answers
Answer:
B. 8 hours
Step-by-step explanation:
T=d/r
84/10.5 = 8 hours
can someone help me with this question?
Answers
Answer: the answer is b,
Step-by-step explanation:
the girls are longer cause their shoes combined is 12 and 3/8
Answer:
Both daughters shoes combines
Step-by-step explanation:
8 5/8 plus 3 6/8 = 12 3 /8
"The combines length of the daughters shoes are longer since they are 12 and 3/8"
5/8 plus 6/8 = 11/8
11/8= 1 3/8
11+ 1+ 3/8 = 12 3/8
In a lab experiment, 130 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 8 hours. How many bacteria would there be after 24 hours, to the nearest whole number?
Answers
Answer:
1040
Step-by-step explanation:
8 hours = 260
16 hours = 520
24 hours = 1040
How many lines of symmetry does the figure have?
A. 0
B. 1
C. 2
Answers
Answer:
The answer is A, so zero.
Do the ratios
17
8
and
5
4
form a proportion?
Answers
Answer:
No
Step-by-step explanation:
17/8 = 2.125
5/4 = 1.25 meaning they do not form a proprtion, i hope i helped you!
5/7x - 14 = -22. Find x.
Answers
Answer:
x = -56/5, -11 1/5, or -11.2
Step-by-step explanation:
5/7x - 14 = -22
5x -98 = -154
5x = -154 + 98
5x = -56
x = -56/5, -11 1/5, or -11.2
Answer:
x= -11.2
Step-by-step explanation:
5/7x-14=-22
+14 +14 Add 14 on both sides
5/7x = -8
(7/5)*5/7x = -8*(7/5) Multiply by the reciprocal on both sides to leave x alone
x= -11.2 Answer
An expression for the nth term of a sequence is
10-n^2
Find the third term of this sequence.
Answers
Answer:
1
Step-by-step explanation:
[tex] a_{n} = 10 - {n}^{2} \\ \\ \: plug \: n = 5 \\ \\ a_{3} = 10 - {3}^{2} \\ \\ a_{3} = 10 - 9 \\ \\ a_{3} = 1[/tex]
In the diagram, which pair of angles are alternate interior angles?
O <2 and <5
O <1 and <7
O <5 and <3
O <7 and <4
Answers
The alternate interior angles shown are <3 and <5, as well as <2 and <8.
I hope this helped!
Answer:
ur answer would be
<2 and <5
step-by-step explanation:
hope this helps
Subtract: 3g - 1/g - 2g -4 /g+1
A. g - 5/ g - 1
B. g + 3/ 2g + 1
C. 5g^2 - 4g -1/ g^2 + 1
D. g^2 + 6g - 1/ g^2 + g
Answers
Answer:
D on edge
Step-by-step explanation:
Answer:
d is right on edge
Step-by-step explanation:
What do you notice about the graph when it passess through a root of even multiplicity?
Answers
Please leave a thanks <3
What is the area of the composite figure?
7 yds;
12 yds.
18 yds.
Answers
For tge triangle its 18x7 which is 126 divided by 2 because its a triangle so 63
216+63=279yds^2
2 kg in the ratio 3:5
Answers
Answer:
3u--> 750g
5u-->1250g
Step-by-step explanation:
2kg = 2000g
3+5=8
8u --> 2000g
1u--> 250g
3u--> 750g
5u-->1250g
Given the equation 5x = 30, what integer (number) must x be in order for this equation to be true?
Answers
Answer:
The answer is 6
Answer:
the answer is 6
Step-by-step explanation:
5x6 = 30. x =6
HELP! Jerry is buying hot dogs and hamburgers for his barbeque. Hot dogs cost $6 per pack, while hamburgers cost $8 per pack with taxes included. Jerry can spend a maximum of $50 on the food.
Using x and y for the number of packs of hot dogs and hamburgers, respectively, what is an inequality that represents this situation?
Answers
Answer:
3 packs of burgers and 4 packs of hot dogs
Step-by-step explanation:
if this is wrong im sorry what i did was divide 50 by 2 and got to the most i could
what is the domain of the relation
Answers
Answer:d I believe
Step-by-step explanation:
This coffee shop has on average 6 times more customers than the café down the street. Does the expression “x + 6” describe the situation? If not, write an expression that does and explain what the variable represents.
Answers
Answer:
Step-by-step explanation:
No the expression "x+6" does not describe the situation. The expression 6x describes the situation. "x" represents the number of customers in the coffee shop.
Answer:
X= number of people in the coffe shop
Step-by-step explanation:
Hope this helps :)
Write each ratio as a fraction in simplest form.
9:4
Answers
Answer: 2 and 1/4
Step-by-step explanation: You make the fraction 9/4 then simplify.
Smiley's Cookies makes the best chocolate chip cookies in town! Yesterday, the store sold 7 large cookies for every 5 small cookies. If Smiley's Cookies sold 30 more large cookies than small cookies yesterday, how many small cookies did they sell?
Answers
Answer: The number of small cookies sold = 75
Step-by-step explanation:
GIven: Yesterday, the store sold 7 large cookies for every 5 small cookies.
Let 7x be the number of cookies and 5x be the number of small cookies. (i)
They sold 30 more large cookies than small cookies.
i.e. [tex]7x-5x=30[/tex] (Using (i))
[tex]\Rightarrow\ 2x=30\\\\\Rightarrow\ x=\dfrac{30}{2}\\\\\Rightarrow\ x=15[/tex]
Thus, the number of small cookies sold = 5 (15)=75 (Using (i))
Hence, the number of small cookies sold = 75