Answer:
[tex]\displaystyle \cos(A + B) =\frac{969}{1769}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \cos A=\frac{20}{29}\text{ and } \tan B=\frac{11}{60}[/tex]
Where A and B are positive acute angles.
And we want to find cos(A + B).
Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using this information, find the opposite side with respect to Angle A:
[tex]o=\sqrt{29^2-20^2}=21[/tex]
Tangent is the ratio of the opposite side to the adjacent side. Find the hypotenuse with respect to Angle B:
[tex]h=\sqrt{11^2+60^2}=61[/tex]
In summary:
With respect to Angle A, the adjacent side is 20, opposite is 21, and the hypotenuse is 29.
With respect to Angle B, the adjacent side is 60, the opposite is 11, and the hypotenuse is 61.
We can rewrite our expression as:
[tex]\displaystyle \cos(A+B)=\cos A\cos B-\sin A\sin B[/tex]
Using the above information, substitute in the appropriate values. Note that since A and B are positive acute angles, all trigonometric values will be positive. Hence:
[tex]\displaystyle \cos(A + B)=\left(\frac{20}{29}\right)\left(\frac{60}{61}\right)-\left(\frac{21}{29}\right)\left(\frac{11}{61}\right)[/tex]
Simplify:
[tex]\displaystyle \cos(A + B) =\frac{1200-231}{1769}=\frac{969}{1769}[/tex]
The average distance between the planet Neptune and the sun is about 4 x 10^9 kilometers. What is 4 x 10^9 written in standard notation?
A. 0.0000000004
B. 0.000000004
C. 400,000,000
D. 4,000,000,000
Find the missing measurements.
Area: ?
Length: 13 cm
Width: 15 cm
Answer:
13 x 15 = 195
PLEASE HELP ASAP :D
what is
sin
cos
tan
Answer:
sin=180/181
cos=19/181
tan=19/180
Wants to wrap a shipping box shaped like a rectangular prism. The box is 25 inches tall and has a square base with sides that each measure 6 inches. How much paper will she use?
Answer:
672 square inches
Step-by-step explanation:
Given data
Height= 25inches
Lenght = 6 inches
Width= 6 inches
The expression for the area of the box is given as
TSA= 2 (lh + lw+ hw)
TSA= 2(6*25+ 6*6+ 25*6)
TSA= 2(150+ 36+150 )
TSA= 2*(336)
TSA= 672 square inches
Length of rectangle is 2(7z + 3) meters. the width is 5z meters than length perimeter in terms of z please
Answer:
Step-by-step explanation:
Given,
Length (l) = 2(7z + 3) = 14z + 6
Breadth (b) = 5z
Now,
Perimeter of rectangle (P) = 2(l + b)
=2(14z + 6 + 5z)
=2(19z + 6)
=38z + 12
The function f(x)=-\x-4/+6 is increasing
through the interval -
A. 6
C. 4
B. -00< x < 4
D. 4
:)
Answer:
Option B
Step-by-step explanation:
Given function is,
f(x) = -|x - 4| + 6
By using a graphing tool we can get the graph of the given function.
From the graph attached slope of the line drawn from [tex]x=-\infty[/tex] to [tex]x=4[/tex] is positive while slope of the line from [tex]x=4[/tex] to [tex]x=\infty[/tex] is negative.
Therefore, segment showing a positive slope will be increasing in the given interval [tex]-\infty<x<4[/tex].
Function 'f' is increasing in the interval [tex]-\infty<x<4[/tex].
Option B will be the correct option.
thr value of k if x-1 is a factor of 2x^3 +3 kx^2+2x-1
Answer:
-2/3
Step-by-step explanation:
put 1 in x should be 0
k is -2/3
PLEASE HELP!!
What is x? Show your work.
Answer:
Girl i dont know im so sorry
Step-by-step explanation:
good luck on ur assignment tho xoxo
You are hiking in Marin, and stop to stand on the edge of a cliff overlooking the Pacific ocean. You see a sailboat down in the water below you. The angle of depression to the sailboat is 28◦ . A quick tells you that the cliff you’re standing on is 150ft. How far away from the boat are you, in feet, rounded to one decimal place?(30pts)
Answer:
Step-by-step explanation:
on the edge of a cliff overlooking the Pacific ocean. You see a sailboat down in the water below you. The angle of depression to the sailboat is 28◦ . A quick tells you that the cliff you’re standing on is 150ft. How far away from the boat are you, in feet, rounded to one decimal place?(30pts)
We solve using the Trigonometric function of TANGENT
tan 28 = 150/x
When did the low temperature occur?
A 0 midnight
B 3 am
C 5 am
D 15(3PM)
Answer:C
Step-by-step explanation:
We can see that at 5 am it is at the lowest point.
Answer:
C 5am
Step-by-step explanation:
The temperature starts at midnight which is 35. But if you look at the bottom of the chart there is a 5am, 10am, 15(3pm). At 5am it went down to 30. And then went back up.
Using the function p(x)=4x-3 what is p(5)
Answer:
p(5) = 17
Step-by-step explanation:
p(x) = 4x - 3
p(5) = 4(5) - 3
= 20 - 3
= 17
A set of pythagorean triples is: ____
A. 12, 16, 20
B. 8, 12, 16,
C. 3, 5, 9,
D. 1, 1, 2
Jorge got a hit 8/25 of the times that he
batted. What percent of the times did
he get a hit?
Answer:
32%
Step-by-step explanation:
Percent means out of 100 so we need the denominator to be 100
8/25 * 4/4 = 32/100
The percent is the numerator since it is now out of 100
32%
Answer: 32%
Step-by-step explanation:
32%
I need help with this please.
Find m1 please help will give brainlyest
Answer:
The intercepted arc is twice the value of the inscribed angle. Since the intercepted arc is 110°, this means that the inscribed angle 1 is 55°.
Convert the measurement as indicated
12 yd to foot
Show steps
Will give Brainlist
Help
Answer:
36 ft
Step-by-step explanation:
Given :
12 yards.We need to convert it into feets. We know that ,
[tex] \implies[/tex] 1 yard = 3 feet
[tex] \implies[/tex] 12 yards = 12 * 3 ft
[tex] \implies[/tex] 12 yards = 36 ft .
Hence the required answer is 36 feets .
Answer:
the formula for converting yards into feet: 1 yard is equal to 3 feet. Write out the necessary math problem or use a calculator. If you want to convert 21 yards, for example, the problem would be 21 multiplied by 3 (21 x 3). Finish the conversion.
SO,
12 yd 36.00 ft
What is the est. decimal for the square root of 50?
Answer:
7.071
Step-by-step explanation:
Hope this helps
1. True or False
3 € {1, 2, 3, 4, 5}
True
O False
the anwser for this is true
Answer:
I also think it's true because it mostly made sense to me.
Subtract 4.25 and 12.835
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]12.835 - 4.25 \\ = 12.835 - 4.250 \\ = 8.585[/tex]
NOTE:-
⇻ You must subtract the smaller number from the bigger number.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
Given the vertices of a triangle ABC below, find the midpoint and length of the midsegment. Give your length in simplified radical form.
Answer:
Midpoint of AC = (-1, 1)
Midpoint of BC = (1, -2)
Length of the midsegment = [tex]\sqrt{13}[/tex]
Step-by-step explanation:
Vertices of a triangle ABC are A(0, 5), B(4, -1) and C(-2, -3).
Midpoint of segment AC = [tex]\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]
= [tex](\frac{0-2}{2},\frac{5-3}{2})[/tex]
= (-1, 1)
Midpoint of BC = [tex](\frac{4-2}{2},\frac{-1-3}{2})[/tex]
= [tex](1,-2)[/tex]
Length of the mid segment = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
= [tex]\sqrt{(-1-1)^2+(-2-1)^2}[/tex]
= [tex]\sqrt{4+9}[/tex]
= [tex]\sqrt{13}[/tex]
Write a division equation and solve (Hint: write the mixed number as an improper fraction): If the host intends to serve each guest at the party 1/5 of a pizza, how many servings can be made with the remaining 2 1/2 pizzas?
Answer:
Step-by-step explanation:
fraction of pizza=5/2
host serves to each guest=1/5*5/2
=5/10
so no of serving that can be done with the remaining 21/2 pizza
5/10-1/5
5*1-1*2/10
5-2/10
3/10
What is the standard equation of a circle with center (-2,0) and radius 4?
Answer:
B(x+2)^2+y^2=16
Step-by-step explanation:
since you have an x-coordinate only and it is negative and a y coordinate which is 0..basically x will appear positive with its conjecture x^2 and the y value will be independent...y^2...bare in Mind that radius is always squared hence it is 16 instead of 4
The topic is about secant tangent angles
Answer:
x = 71
Step-by-step explanation:
The chord- chord angle is half the sum of the arcs intercepted by the angle and its vertical angle, that is
x = [tex]\frac{1}{2}[/tex] (92 + 50) = 0.5 × 142 = 71
Rewrite the expression in the form zn.
Answer:
zⁿ = z³
Step-by-step explanation:
We have the expression:
√(z/ z^⅓)
Hence
= z^½/ (z^⅓)^½
= z^½/ (z^⅙)
= z^(½ ÷⅙)
= z ^(1/2 × 6/1)
= z³
Therefore: zⁿ = z³
Will give brainliest
The ages of two groups of karate students are shown in the following dot plots:
A dot plot shows Age in years on the horizontal axis. For Group A, there are 2 dots on 4, 5 dots on 5, 3 dots on 7, 4 dots on 8, 2 dots on 9, 2 dots on 11, and 1 dot on 14. For Group B, there is 1 dot on 7, 2 dots on 8, 1 dot on 9, 1 dot on 11, 1 dot on 16, 2 dots on 19, 2 dots on 20, 2 dots on 21, and 1 dot on 26.
The mean absolute deviation (MAD) for group A is 2.07 and the MAD for group B is 5.51. Which of the following observations can be made using these data?
Group A has greater variability in the data.
Group A has less variability in the data.
Group B has a lower range.
Group B has a lower mean.
Answer:
Group A has greater variability in the data.
Step-by-step explanation:
We use elimination. Clearly, from the MAD, Group A has greater variability in the data.
So, choice 1.
Which of the following formulas is used to find the circumference of a circle?
O A. C = op?
B. C = 23d
O C. C = 8012
O D. C = 281
helpp someoneee
Answer:
D.
Step-by-step explanation:
Circumference of a circle is also referred to as the perimeter bordering the circle.
Thus, it is given as:
C = 2πr
C is circumference
r = half of the diameter of the circle = r
This formula used in finding the circumference of a circle is C = 2πr
The diameter of a cylindrical construction pipe is 4ft . If the pipe is 24ft long, what is its volume
HELP NOW PLEASE I HAVE 10 MINUTES! 20 POINTS
If f(x) = 4x^2 + 1 and g(x) =x^2 - 5, find (f-g)(x)
Me and my procrastination habits smh
Also let me know if you can help with other questions I have 2 more
Slope:
2
3
y-intercept: (0,−6)xy0−63−4
what is the value of x
Answer:
20
Step-by-step explanation:
Those angles are the same so you can put them in an equation like this:
x + 60 = 4x
Then you subtract x from both sides to get variables on one side and constants on the other:
60 = 3x
Now divide by three to find what just x is:
20 = x
And there you go <3
Peter, Bridget and Caroline share some sweets in the ratio 2:5:2. Peter gets 14 sweets. How many did Bridget get?
Answer:
35
Step-by-step explanation:
The 14 sweets Peter gets is 2 parts of the ratio, then
14 ÷ 2 = 7 ← number of sweets in 1 part of the ratio , then
5 parts = 5 × 7 = 35 ← number of sweets Bridget gets