Answer:
Step-by-step explanation: I don't
Answer:
yes
Step-by-step explanation:
I do
For positive acute angles A and B, it is known that cos A= 20/29 and tan B= 11/60. Find the value of cos(A + B) in simplest form.
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]
CD is the Diameter. The measure of Arc CD is lle Find the length of the radius in the circle.
Answer:
The answer is 5.5 because half of 11 is 5.5 and diameter is half of circumference.
Answer:
5.5
Step-by-step explanation:
diameter=11
radius = diameter÷2
r=11÷2
radius=5.5
Suzy has 20 counters. Mia has 9 times as many counters as Suzy.
How many counters does Mia have? Enter the answer in the box.
Answer:
Mia has 180 counters
Step-by-step explanation:
if Suzy has 20 counters and Mia has nine times as many as Suzy, we can multiply 20 by 9 (20×9) and get 180
easy algebra question below first correct answer gets brainliest
14) When did the high temperature occur?
Please help
Answer:
D; 15
Step-by-step explanation:
Because the highest point on the graph is at 15 (or 3 am), that would be the highest temperature. (Also, none of the other choices make sense; they are all at relatively low temperatures).
In the morning, the temperature was – 10°C. By the afternoon, it had risen to – 2°C. What was the change in temperature from the morning to the afternoon?
Answer:
8 °C
Step-by-step explanation:
Step 1: Given data
Initial temperature value (T1): -10 °C
Final temperature value (T2): -2 °C
Step 2: Calculate the change in temperature from the morning to the afternoon
To calculate the change in the temperature, we have to perform the subtraction T2 - T1.
ΔT = T2 - T1 = (-2 °C) - (-10 °C) = -2 °C + 10 °C = 8 °C
The temperature change is positive, meaning that the temperature increased.
Help me out please thank you ?!!!
Answer:
1) 69 2) 69 3) 60 4) 60 5) 51
Step-by-step explanation:
Triangles have 180 degrees interior and 360 degrees exterior. Knowing this you add all the values within a triangle and subtract it from 180 to find the missing degrees.
For the purple, the green is supplementary which means the other angle will help it equal 180 degrees. the missing green angle is 38. 38+82=120 and 180-120=60. because of vertical angles, angle 2 is 69 and angle 4 is 60. this makes 129 so 180-129=51.
Hope this helps you in some way. if not, sorry i failed you.
Answers
angle 1 = 111 degreesangle 2 = 69 degreesangle 3 = 60 degreesangle 4 = 60 degreesangle 5 = 51 degreesBe sure to use the actual degree symbol instead of typing in "degrees" after each number.
========================================================
Explanation:
To find angle 1, we can use the remote interior angle theorem. The yellow angles you've highlighted (46 and 65) add up to the measure of angle 1, which is an exterior angle. So angle 1 is 46+65 = 111 degrees
The slightly longer method is to make x be the missing angle of the left-most triangle. Solve x+46+65 = 180 to get x = 69 degrees. Then note how angle x and angle 1 are supplementary, meaning x+(angle1) = 180 leads to angle 1 = 111 degrees (because 180-69 = 111)
------------------------
Angle 2 is 69 degrees since angle x = 69, which is a vertical angle to angle 2. Or you could note that angle 1 and angle 2 are supplementary
(angle1)+(angle2) = 180
(111)+(angle2) = 180
angle2 = 180-111
angle 2 = 69 degrees
This method is used to prove the vertical angles theorem is always true.
-------------------------
Angle 3 can be found using the remote interior angle theorem, but we'll be going in reverse this time. Let y be the measure of angle 3
y+82 = 142
y = 142-82
y = 60
angle 3 = 60 degrees
Like with angle 1, there's also a slightly longer method that follows the same idea as before. If you follow this method, you'll need to find the missing piece of the green angle you highlighted (which his 180-142 = 38 degrees), then use the idea that A+B+C = 180 where A,B,C are the three interior angles of any triangle.
---------------------------
Angle 3 and angle 4 are vertical angles, so they are always congruent and angle 4 is also 60 degrees
---------------------------
Let z = measure of angle 5
Focusing on the smaller triangle in the middle, we can say,
(angle2)+(angle4)+(angle5) = 180
(69) + (60) + (z) = 180
z+129 = 180
z = 180-129
z = 51
angle 5 = 51 degrees
Which algebraic expression below represents four multiplied by a number?
A. 4 – x
B. x + 4
C. 4x
D.
Answer:
Step-by-step explanation:
option c is correct
product of two numbers can be written as 4x
I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
please help this is very important
this is a big part of my grade
Answer:
Both are false.
Step-by-step explanation:
Elena is right in saying that exponents are repeated multiplication, but shes doing it the incorrect way. 2 to the power of 28 is not multiplication of 28s twice, but instead is multiplication of 2 twenty eight times.
Can someone pls help me find X and Y
Answer:
y = 35°
z = 90°
Step-by-step explanation:
the angle labeled as 35° and the angle labeled as 'y' are alternate-interior angles and are congruent
therefore, y = 35°
the third angle of the triangle on the left is 180-(90+35) = 55
therefore, this angle is vertical with the angle opposite it which is also 55°
to find 'z', you can add the two known angles of 55 and 35 and subtract the sum from 180 to get 90°
Jay pays $2.45 for 4 magazines. He later pays $3.75 for 6 magazines. Is the price proportional to the number of magazines? Explain
Answer:
No, It is not.
Step-by-step explanation:
Step 1: Divide the 2.45 by 4 (We are doing this to find the difference between them so we can find out what to do next.)
[tex]2.45 \div 4\\\\= 0.6125[/tex]
Step 2: Multiply 0.6125 to 6 (Now, that we've found what 1 magazine cost according to the first data, we are multiplying it by 6 because if you multiply that to 4 the answer will be 2.45. So, if we multiply 6, it will show us if they are both proportional, the same.)
[tex]0.6125 \times 6\\\\= 3.675[/tex]
Therefore, these two prices are not proportional.
Plz help me i am stuck
Given:
The two statements.
To find:
The probability of an impossible event.
The probability of a certain event.
Solution:
Formula for probability is:
[tex]P=\dfrac{\text{Possible favorable outcomes}}{\text{Total number of outcomes}}[/tex]
For an impossible event, the possible favorable outcomes is 0. So,
[tex]P=\dfrac{0}{\text{Total number of outcomes}}[/tex]
[tex]P=0[/tex]
For a certain event (sure event), the possible favorable outcomes is equal to total number of outcomes. So,
[tex]P=\dfrac{\text{Total number of outcomes}}{\text{Total number of outcomes}}[/tex]
[tex]P=1[/tex]
Therefore, an event that is impossible has probability 0 and an event that is certain has probability 1.
Find missing measure
Answer:
60°
Step-by-step explanation:
360 - ( 80+115+10) = 60°
Megan runs a bakery in which she can sell cakes for $12.95. Write a function for the amount of profit, in dollars, she makes for selling n amount of cakes.
Which of the following is equal to tan O using coordinates on the unit circle?
A) y/x
B) y
C) x/y
D) x
Answer:
A) y/x
Step-by-step explanation:
_____________________
what are some good notes I can use to study for my algebra exam tomorrow?
Answer:
all you need to do is look over your notes continue to partice as much as you can
Step-by-step explanation:
you got this
In order to solve by completing the square, what value needs to be added to both sides of the equation:
Answer:
The answer is "[tex](x + 8)^2 = 58[/tex]"
Step-by-step explanation:
Let the equation is:[tex]x^2+16x=-6[/tex]
by adding and subtracting 64 then:
[tex]x^2 + 16x + 64 = -6 + 64\\\\x^2 + 2\times x\times 8 + 64 = -6 + 64\\\\ (x + 8)(x + 8) = 58\\\\ (x + 8)2 = 58[/tex]
Josh started his own lawn maintenance company. He makes $20 on every
lawn that he cuts and his monthly expenses are $325. How many lawns does Josh
need to cut this month so that he can earn a total of $160 after he pays his
monthly expenses?
Drag the tiles to the boxes to form correct pairs.
Match each operation involving Rx) and g(x) to its answer.
(t) = 1 - 22 and g(x) = V11 — 41
Answer:
[tex](g + f)(2) = \sqrt 3 - 3[/tex]
[tex](\frac{f}{g})(-1) = 0[/tex]
[tex](g + f)(-1) = \sqrt{15}[/tex]
[tex](g * f)(2) = -3\sqrt 3[/tex]
Step-by-step explanation:
Given
[tex]f(x) =1 - x^2[/tex]
[tex]g(x) = \sqrt{11 - 4x[/tex]
See attachment
Solving (a): (g + f)(2)
This is calculated as:
[tex](g + f)(2) = g(2) + f(2)[/tex]
Calculate g(2) and f(2)
[tex]g(2) \to \sqrt{11 - 4 * 2} = \sqrt{3}[/tex]
[tex]f(2) = 1 - 2^2 = -3[/tex]
So:
[tex](g + f)(2) = g(2) + f(2)[/tex]
[tex](g + f)(2) = \sqrt 3 - 3[/tex]
Solving (b): [tex](\frac{f}{g})(-1)[/tex]
This is calculated as:
[tex](\frac{f}{g})(-1) = \frac{f(-1)}{g(-1)}[/tex]
Calculate f(-1) and g(-1)
[tex]f(-1) = 1 - (-1)^2 = 0[/tex]
So:
[tex](\frac{f}{g})(-1) = \frac{f(-1)}{g(-1)}[/tex]
[tex](\frac{f}{g})(-1) = \frac{0}{g(-1)}[/tex]
[tex](\frac{f}{g})(-1) = 0[/tex]
Solving (c): (g - f)(-1)
This is calculated as:
[tex](g + f)(-1) = g(-1) - f(-1)[/tex]
Calculate g(-1) and f(-1)
[tex]g(-1) = \sqrt{11 - 4 * -1} = \sqrt{15}[/tex]
[tex]f(-1) = 1 - (-1)^2 = 0[/tex]
So:
[tex](g + f)(-1) = g(-1) - f(-1)[/tex]
[tex](g + f)(-1) = \sqrt{15} - 0[/tex]
[tex](g + f)(-1) = \sqrt{15}[/tex]
Solving (d): (g * f)(2)
This is calculated as:
[tex](g * f)(2) = g(2) * f(2)[/tex]
Calculate g(2) and f(2)
[tex]g(2) \to \sqrt{11 - 4 * 2} = \sqrt{3}[/tex]
[tex]f(2) = 1 - 2^2 = -3[/tex]
So:
[tex](g * f)(2) = g(2) * f(2)[/tex]
[tex](g * f)(2) = \sqrt 3 * -3[/tex]
[tex](g * f)(2) = -3\sqrt 3[/tex]
The festival sends Dani a map of where people will launch their kites. A portion of the map is shown. How far apart does each kite flyer stand? Round to the nearest foot. Explain please hurry
Answer:
16 ft.
Step-by-step explanation:
Distance Formula:
A = (2,2)
B = (12,14)
So, sqrt(12^2 + 10^2) = 16 ft.
This is the same for B to C.
So, 16 ft.
Mark me as Brainliest if this is correct! I really appreciate it! :D
What is the missing term?
Answer:
Missing term = 6x
Step-by-step explanation:
We got:
=> 4x by multiplying +4 and x (x * 4 = 4x)
=> 12 by multiplying +4 and +3 (4 * 3 = 12)
=> 2x² by multiplying 2x and x (2x * x = 2x²)
Similarly we will get the "missing term" by multiplying 2x and +3
=> Missing term = 6x, (2x * 3 = 6x)
Hope this helps!
Jeremiah is saving money in a bank account. He opened the account with $25. Each month he adds the same amount of money to the account. After 8 months, the account has $505. Which equation can be used to calculate the amount of money in the account, y, after x months
Answer:
Step-by-step explanation:
y = ax + b
The trick is to solve for a.
y = 505
x = 8
b = 25
505 = a*8 + 25 Subtract 25 from both sides
-25 -25
480 = 8a
a = 60
What this means is that for each one of the 8 months, he added 60 dollars into his account
The equation is y = 60*x + 25
PLS HELPPP
Select the representations that do not change the location of the point (9,100°)
a. (-9,280°)
b. (-9,260°)
c.(-9,-80°)
d.(9,-260°)
Answer:
d. (9,-260°)
Step-by-step explanation:
100° = 100-360 = -260°
Which is the solution for the system of linear equations below?
y= -1/3x + 3
y = -x + 1
Answer:
x= −3 and y= 4
not sure if this is what your looking for tho
Step-by-step explanation:
What is the measure of angle R?
110°
140°
125°
70°
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Answer:
Interesting... go on.
Step-by-step explanation:
can y’all help me i’m taking a test
Answer:
Over time, the function is DECREASING. Cho ran at a faster rate during segment K.
Step-by-step explanation:
Which expression represents the area of the square?
A: 4.4
B:2+4
C:2.4
Or C: 4+ 4 help pls?
Answer:ik i am late but it is 4.4 for the people that need it now
Step-by-step explanation:
Mary and her dad shared one dozen brownies 2/6 of them have nuts which dad dosent 4 eat how many brownies did dad not eat because they had nuts
Answer:
4
Step-by-step explanation:
Number of brownies = 1 dozen
1 dozen = 12
Fraction of brownies that had nut = 2 /6
Hence, Number of brownies dad doesn't eat :
Fraction that had nuts * number of brownies
2/6 * 12
1/3 * 12
= 4
Help please !!!Tomas has 135 more songs downloaded than Carl. Together they have 623 songs downloaded.
Part A
What system of equations could be used to determine how many songs each has downloaded?
Answer:
t + c = 623
t = c + 135
thomas has 379 songs downloaded, and carl has 244
Step-by-step explanation:
togheter they have 623 songs, aka the sum of thomas (t) and carl (c) is 623.
t + c = 623
thomas has 135 more than Carl. so Carl plus 135 is equal to thomas
t = c + 135
now you can solve it:
t + c = 623
(c+135) + c = 623
c + c = 488
2c = 488
c = 244
carl has 244 songs downloaded
t + 244 = 623
t = 379
thomas has 379 songs downloaded
The system of equations represents t + c = 623 and t = c + 135 and Tomas has 379 while Carl has 244 downloaded.
What is the equation?An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.
As per the given,
Together they have 623 songs downloaded.
t + c = 623
Tomas has 135 more songs downloaded than Carl.
t = c + 135
By substitution,
c + 135 + c = 623
2c = 488
c =244
And , t = 244 + 135 = 379
Hence "The equations in the system show that Tomas has 379 while Carl has 244 downloaded and that t + c = 623 and t = c + 135 are represented".
For more about the equation,
brainly.com/question/10413253
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