Answer:
0, negative infinity
For positive acute angles
A
A and
B
,
B, it is known that
cos
A
=
4
5
cosA=
5
4
and
sin
B
=
15
17
.
sinB=
17
15
. Find the value of
cos
(
A
−
B
)
cos(A−B) in simplest form.
9514 1404 393
Answer:
77/85
Step-by-step explanation:
Given:
cos(A) = 4/5
sin(B) = 15/17
Find:
cos(A-B)
Solution:
From your knowledge of Pythagorean triples, you know that one of them is (3, 4, 5) and another is (8, 15, 17). Using your imagination, or by drawing the triangles, you can determine the needed trig functions to be ...
sin(A) = 3/5
cos(B) = 8/17
__
Alternatively, you can use the Pythagorean identity to find ...
sin(A) = √(1 -cos²(A)) = √(1 -(4/5)²) = √(9/25) = 3/5
cos(B) = √(1 -sin²(B)) = √(1 -(15/17)²) = √(64/289) = 8/17
__
Then application of the angle difference formula is straightforward.
cos(A -B) = cos(A)cos(B) +sin(A)sin(B)
cos(A -B) = (4/5)(8/17) +(3/5)(15/17) = (32 +45)/85
cos(A -B) = 77/85
_____
Some graphing calculators can express the result ...
cos(arccos(4/5) -arcsin(15/17)) ≈ 0.90588235294
... as the fraction 77/85
100 POINTS PLEASE HELP
Heather is building a ladder for her tree house. She will need 13 feet of lumber for each stilt and 2 feet of lumber for each rung on the ladder. How many feet of lumber does she need for a ladder with 2 stilts and 12 rungs?
29 feet because 2 + 13 + 12 + 2 = 29
50 feet because 2 (13) + 12 (2) = 50
160 feet because 13 (12) + 2 (2) = 160
210 feet because (2 + 13) (12 + 2) = 210
right answer gets brainiest
Answer: It's B 50
Step-by-step explanation:
¿para cuantos días alcanza una bolsa de 7,5 kg de alimento balanceado, si la ración diaria que le dan al perro de paula equivale a las dos quintas partes de 1kg?
Answer:
7,5*1000/2=37,5
Step-by-step explanation:
A swing forward 50 degree and back 95 degree. How many degree forward must the swing go to return in starting position
Answer:
45°.........................
Simplify 5 to the 2nd power * 5 to the 9th power
Answer:
Thee first one is 25 and the second one is 1,953,125
Step-by-step explanation:
You just times each one by five. If you want to simplify it tho it would be as the first one is 12,5 the second one is 976562.5. Hope it helps
15 + x = 27
One step equation
Answer:
x = 12
Step-by-step explanation:
15 + x = 27
subtract 15 from each side of the equation:
15 - 15 + x = 27 - 15
x = 12
13. Using figure 1, angles 5 and 6 form a linear pair, If mz6=95", find m25.
a. 5°
b. 85"
c. 90°
d.95"
14. In figure 1, 25 and 28 are vertical angles. If m2s 2x + 45 and m28= 7x - 15
What is the value of x ?
a.6
b. 12
c.9
d. 21
paki answer po plss
In the figure, angles 1 and 5 are alternate exterior angles. Use the Alternate Exterior ... each pair of alternate interior angles is congruent. ... 1 and 3. SOLUTION: If the radiation rays form parallel lines, then ∠1 and ... supplementary; since 3 and 5 are a linear pair, ... ∠8, ∠9 and ∠10, ∠11 and ∠12, and ∠13 and ∠14.
Mount Fuji in Japan is 3,775meters high. The Mariana of each other in Trench is 10,994 meters deep. How many Mount fujis can fit on top of each other in the trench? (GIVING BRAINLIEST)
Answer:
2.91≠3
Step-by-step explanation:
You divide the Trench by the Fuji to get the quotient or ratio. 10994÷3775 which will be 2.9123179 which you can round of if advised.
Solve the percent problem 76 gallons is 126% of ___ gallons. Round to the nearest hundredth, if necessary.
Answer:
60.32
Step-by-step explanation:
126%=1.26
60.32*1.26=76.0032
76.0032≈76
i need help please , i’ll give brainliest and 5 stars
Answer:
Arc DE = 70°
Arc RST = 206°
Step-by-step explanation:
arc DE + arc DC = 180° because EC is a diameter
7x + 7 + 11x + 11 = 180°
combine like terms:
18x + 18 = 180°
subtract 18 from both sides of the equation:
18x = 162°
divide both sides by 18:
x = 9
Arc DE = 7(9) + 7 = 70°
arc RST = 2(x + 103) = 2x + 206
arc RFT = 2(x + 77) = 2x + 154
arc RST + arc RFT = 360°
so:
2x + 206 + 2x + 154 = 360°
combine like terms:
4x + 360 = 360
4x = 0
x = 0
arc RST = 2x + 206 = 206°
The price of a house increase from 250,000 to 400,000 what is the percent increase
ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]
D
126%
AK
> C
B
Angles are not drawn to scale.
Enter
Answer:
x=154°
Step-by-step explanation:
x+126=180 supplementary
x=180-126=54
Which property is shown here?
(2d)9 = 9(2d)
Step-by-step explanation: 4d−9=5(2d−3)
im sorry sorry if im wrong pls forgive me :')
also have a blessing day! :)
Determine whether the given value makes a true statement.
NO LINKS-DRIVES-DOCS ETC.
WILL MARK BRAINLYEST
EARN LOTS OF POINTS
Answer:
How can you determine whether a given number makes an equation true?
Determine whether a number is a solution to an equation.
Substitute the number for the variable in the equation.
Simplify the expressions on both sides of the equation.
Determine whether the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.
Find the exact value of sin(7pi/8)
Answer:2.74889357189
Step-by-step explanation:
3^-3 simplify the expression
Answer:
.037037037
Step-by-step explanation:
Answer:
1/1
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator. GCD of 3 and 3 is 3.
3 ÷ 33 ÷ 3.
Reduced fraction: 11. Therefore, 3/3 simplified to lowest terms is 1/1.
HELP:
pls help now.....
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
imagine you fold on each line. the one that will fold evenly is line C.
Find the Surface Area
of the Triangular
Prism Net
Each mark represents 1
centimeter.
PLS HELP!! WILL MARK AS BRAINLYIST!!!
Answer:
119 sq cm
Step-by-step explanation:
(5 * 8) + (4 * 8 * 2) + (5 * 3)
Answer:
116
Step-by-step explanation:
4×3=12
8×5=40
4×8×2=64
12+40+64=116
What the equation for y.
2y + 2x = 4
A. y = -x + 2
B. y = 2x + 4
C. y = -x-2
D. y = x + 2
Answer:
A
Step-by-step explanation:
first move the 2x to the other side and you get 2y=4-2x, then you divide the entire equation by 2 and get y=2-x, which when re arranged is y = -x+2.
what is 479.96 ÷ 129.72? one answer
Answer:
3.69996916435
Step-by-step explanation:
Answer:
the answer is 3.69996916
the answer in one number would be 4 because it's rounded to the nearest whole number
what will happen if joe Biden raises tax rate like what
effect will that have on the economy
75069 / 45 with work (no calculator)
Show work please!
Answer:
1668.2
Step-by-step explanation:
Answer please and explain
Answer:
Volume of cone = 72 ft³
Step-by-step explanation:
diameter = 6ft
radius = 3ft
height = 8ft
Volume of a cone = [tex]\frac{\pi r^2h}{3}[/tex]
V = (3 × 3 × 3 × 8)/3
V = 72 ft³
Answer:
V ≈ 72 ft³
Step-by-step explanation:
Given that volume (V) is calculated using
V = [tex]\frac{\pi r^2h}{3}[/tex] ( r is the base radius and h the height )
Here diameter d = 6 then r = 6 ÷ 2 = 3 and h = 8 , then
V = [tex]\frac{3(3^2)(8)}{3}[/tex] ( cancel 3 on numerator/ denominator )
= 9 × 8
= 72 ft³
Mr. Smith is conducting a class raffle. Every 100% on an assignment is an entry into the raffle. Liam has 10 entries, Noah has 3 entries, Oliver has 11 entries, and there are 44 other total entries. What is the probability that Liam will win the raffle? Round your answer to the thousandths place.
Answer: 0.147
Step-by-step explanation:
Liam / total
total = 10 + 3 + 11 + 44 = 68
10 / 68 = 5 / 34
0.1470588 = 0.147
Each week Lucy makes ten dollars in allowance. Write an integer to represent the amount of money she makes.
Answer:
Just multiply the number of weeks by 10
Step-by-step explanation
The current integer is 10/1 for 10 dollars made every 1 week.
So, if two weeks pass by, the integer will be 20/2 for 20 dollars made every
week.
If you continue this process by multiplying by 10, you'll get your chart.
Help! Everyone keeps trolling me!
Below is the graph of equation y=−|x−2|+2. Use this graph to find all values of x such that
1. y > 0
2. y < 0
3. y = 0
Please add a real answer!
Thx so much for helping!
9514 1404 393
Answer:
0 < x < 4 (- ∞ < x < 0) ∪ (4 < x < ∞)x ∈ {0, 4}Step-by-step explanation:
1. The solution is the set of x-values for which the graph is above the x-axis, where y = 0. Those x-values are in the interval (0, 4).
__
2. The solution is the set of x-values for which the graph is below the x-axis. Those x-values are in either of the two intervals (-∞, 0) or (4, ∞).
__
3. The x-intercepts of the graph are x=0 or x=4.
Which function has a constant additive rate of change of –1/4? A coordinate plane with a straight line with a negative slope. The line passes through (negative 2, 2) and (2, 1). A coordinate plane with a curved line passing through (negative 1, 2), (0, negative 1), the minimum (2, negative 2), and (4, negative 1). A two column table with five rows. The first column, x, has the entries, 20, 21, 22, 23. The second column, y, has the entries negative 1, negative 1.5, negative 2, negative 2.5. A two column table with five rows. The first column, x, has the entries, negative 12, negative 11, negative 10, negative 9. The second column, y, has the entries, 7, 11, 14, 17.
Answer:
i honestly have no idea:(
Step-by-step explanation:
sorry
help please I'm not the smartest lol
Answer:
Acute angle
Step-by-step explanation:
2 Select the correct answer. Adrianna is using exponential functions to model the value, in whole dollars, of two investments. She represents the value of investment A with a description of its key features and the value of investment B with a table. In both cases, xis the number of years she has held the investment.
Answer: A.
Both investments are decreasing in value, and investment A is decreasing in value faster.
Step-by-step explanation:
can you please help me
Answer:
The answer is b.
Step-by-step explanation:
45 divided by 5 is 9
You can double check by doing 5*9
