Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
1 + tan²A = sec²A , secA = [tex]\frac{1}{cosA}[/tex], cosecA = [tex]\frac{1}{sinA}[/tex] , cotA = [tex]\frac{cosA}{sinA}[/tex] , tanA = [tex]\frac{sinA}{cosA}[/tex]
Consider the left side
[tex]\frac{(1+tan^2A)cotA}{cosec^2A}[/tex]
= [tex]\frac{sec^2AcotA}{cosec^2A}[/tex]
= [tex]\frac{\frac{1}{cos^2A}(\frac{cosA}{sinA}) }{cosec^2A}[/tex]
= [tex]\frac{\frac{1}{cosAsinA} }{\frac{1}{sin^2A} }[/tex]
= [tex]\frac{1}{cosAsinA}[/tex] × sin²A
= [tex]\frac{sinA}{cosA}[/tex]
= tanA = right side , thus proven
Pleaseee helpp answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
5
Step-by-step explanation:
√(-4+9)^2+(6-6)^2
√25+0
=5
Use the information given in the figure to find the length RT.
If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.
R
117
53
28
T
HELP LOLL
Answer:
RT=108
Step-by-step explanation:
Consider ΔQST:
Use pythagorus's theorem.
a²=b²+c²
QS²=QT²+ST²
53²=QT²+28²
2809-784=QT²
QT=√2025=45
Consider ΔQRT:
Use pythagorus's theorem.
a²=b²+c²
QR²=QT²+RT²
117²=45²+RT²
13689-2025=RT²
RT=√11664=108
solve the equation y = 200 - 5(x + 37) for x if y = 360.
Answer:
x= -35.153846
Step-by-step explanation:
360=200-5(x+37)
360=195(x+37)
360=195x+7215
360-7215=195x+7215-7215
-6855=195x
-6855/195=195x/195
-35.1538461538=x
-35.153846=x
I THINK ;]
Can someone please help me outt
Answer:
ASA
Step-by-step explanation:
We can see that the triangle has at least one similar side and one similar angle. We can also see that the triangles meet at a point, so they must have the same angle at that point where they connect. So that leads us to our answer being ASA since they have two similar angles and one similar side. This is the answer that I think is correct just by looking at the image. I haven't take this class since last year, so this is simply from memory. Correct me if I am wrong!
Which inequality is true if n = 81?
F 3n < 84
G n − 29 < 53
H 2n < 162
J n + 5 < 76
Answer:
G n - 29 < 53
Step-by-step explanation:
Replace n with 81 so it becomes
81 - 29 < 53
If you solve, 81 - 29 would be 52
Then you have
52 < 53
This is true since 53 is greater than 52
Solve for y. 5x+4=y pls
457Δ is a 4-digit number with one of its digits represented by Δ. 457Δ is divisible by 3. Which of these is also a number divisible by 3?
Answer:
by divisibility rule of 3 for a no. to be divisible by 3 there is necessary condition that sum of all digit is divisible by 3.
so ans is 2 (smallest digit)
The cost of a house is 13% in one year. The original price was 75,000. Find the cost of one year later
Answer:
The cost of the house after one year = 84,750 rupees
Step-by-step explanation:
Explanation:-
Given that the cost of house = 13% in one year
Given that the house original price = 75000
We have to find that the house cost after one year
Solution:-
The cost of a house increase 13% per year
= 75000 X 0.13
= 9750
The total cost = 75000+9750
= 84,750 rupees
Final answer:-
The cost of the house after one year = 84,750 rupees
This parallelogram has 4 equal angles, but
not 4 equal sides. What is its name?
Answer:
It's a Rhombus!
make b the subject of the formula a=squareroot of b+6
Simplify y + y + y to produce an equivalent expression:
Answer:
y + y+ y is 3y
Step-by-step explanation:
Which of these strategies would eliminate a variable in the system of equations? 5x+8y=-1 5x -8=-7
Answer:
To eliminate a variable in the system, we will have to subtract both expressions from each other
Step-by-step explanation:
Given the equations
5x+8y=-1
5x -8y=-7
To eliminate a variable in the system, we will have to subtract both expressions from each other
5x - 5x +8y-(-8y) = 1-(-7)
0 + 16y = 8
16y = 8
You can see that the variable x has been eliminated by simply subtracting both equations
y = 8/16
y = 1/2
The local newspaper has letters to the editor from 80 people. If this number represents 5 % of all of the newspaper's readers, how many readers does the newspaper have?
Answer:
The newspaper has 1,600 readers.
$4\%$ of the students at Excellent Elementary are vegetarians. If there are $1200$ non-vegetarians, how many students go to Excellent Elementary?
Answer:
1250 students go to Excellent Elementary.
Step-by-step explanation:
Given that 4% of the students at Excellent Elementary are vegetarians, you can subtract 4% from 100% to find the percentage of students that are non-vegetarians:
100%-4%=96%
Now, since you know that 96% of the students are non-vegetarians and that they are 1200, you can use a rule of three to find the amount that represents 100% which would be the total amount of students that go to Excellent Elementary:
96% → 1200
100% → x
x=(100*1200)/96
x=1250
According to this, the answer is that 1250 students go to Excellent Elementary.
Answer this real-world question
Xavier had $100 in his lunch account. He spends $6 for lunch each day. Zack has $160 in his lunch account. He spends $10 each day. After how many days will the boys have the same amount of money in their accounts? How much money will they each have on that day?
Answer:
After 15 days they'll both have $10
Explanation:
100 (Xavier's total)- 6x (6 dollars every day) = 160 (Zach's total amount) -10x (10 dollars every day)
[tex]100-6x=160-10x\\[/tex]
+10x on both sides
[tex]100+4x=160[/tex]
-100 on both sides
[tex]4x=60[/tex]
/4 on both sides
[tex]x=15[/tex]
please help help help
Answer:
7×8
Step-by-step explanation:
17×8=136
10×8=80
136-80=56
find the multiplication that = to 56 and that is 7×8.
Simple flying products and cautions of powers HELP PLZ
Answer:
m a t h w a y
Step-by-step explanation:
Answer:
10 and 6Step-by-step explanation:
Exponents multiplied ⇒ powers add up
Exponents divided ⇒ powers subtracted
a = 2 + 8 = 10b = 10 - 4 = 6What are the solutions to x2−10x=39? Question 4 options: 3 and -13 1 and -39 -1 and 39 -3 and 13
Answer:
[tex]x=-3,13[/tex]
Step-by-step explanation:
Given: [tex]x^2-10x=39[/tex]
To find: solutions of the given equation
Solution:
[tex]x^2-10x=39\\x^2-10x-39=0[/tex]
Write [tex]-10=-13+3[/tex]
Therefore,
[tex]x^2-13x+3x-39=0\\x(x-13)+3(x-13)=0\\(x+3)(x-13)=0\\x=-3,13[/tex]
So, solutions of the given equation are [tex]-3[/tex] and [tex]13[/tex].
Solve the proportion. 2b-1/3 = b-1/6
Answer:
b=1/6
Step-by-step explanation:
Washer and dryer cost $784 combined. The washer cost $66 less than the dryer. What is the cost of the dryer.
Answer:
$425
Step-by-step explanation:
Let the dryer cost x
and the dish washer cost y
x+y=784-----------1
y=x-66-------------2
put the value of y=x-66 in 1
x+x-66=784
2x= 784+66
2x=850
x=850/2
x=425
Hence the dryer cost $425
In a proportional relationship, y=2 when x=8. Which of the following equations would
describe this relationship?
Answer:
2. (1) [tex]30[/tex]
3. (1) [tex]y=\frac{1}{4}x[/tex]
4. a) [tex]y=x+6[/tex] b) [tex]42[/tex]
Step-by-step explanation:
In a proportional relationship, y=2 when x=8, the following lines will show this relationship,
1. y = 1/4x
2. y = x - 6
4. y = 1/2x - 2
What is the equation of line?The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.
Given that,
The point,
x = 8 and y = 2
We have to check all the given options,
1. y = 1/4x
y = 1/4 × 8
y = 2
2. y = x - 6
= 8 - 6
y = 2
3. y = 4x
= 4 × 8
y = 32
4. y = 1/2x - 2
= 1/2 × 8 - 2
= 2
Hence, Option 1, 2, & 4 satisfies the given condition
To know more about Line check:
https://brainly.com/question/17188072
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Please help I need by 9:00 am
Answer:
here!
Step-by-step explanation:
so graphing lines are pretty hard but this one is fairly simple. here the slope formula format is y=mx+b
m being the slope
and b being the y-intercept
so as you can see your equation has no slope meaning your line is just going to be straight
and then if you take a look to find the only other thing your equation has in it is a 6 as the y-intercept meaning in order to graph this find where 6 is on the y-axis (the vertical line on the side) and draw a line going horizontal and put a dot or a point on (0,6) to mark that you have found the y-intercept and that this is the only known point on your line graph so far with the information given. i hope this makes sense, and have a great day!
Which equation is not equivalent to 2x + 14 = 4x - 6
a) 14 +6 = 2x
b) -2x =20
c) 2x - 4x = -20
d) x = 10
The equation that is not equivalent to 2x + 14 = 4x - 6 is c) 2x - 4x = -20
To determine which equation is not equivalent, we need to simplify each option and see if it yields the same solution as the original equation.
Option c) simplifies to -2x = -20, which is different from the original equation. In the original equation, we have 2x + 14 = 4x - 6.
Therefore, the equation 2x - 4x = -20 is not equivalent to 2x + 14 = 4x - 6.
To know more about equation:
https://brainly.com/question/10724260
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Identify the constant of proportionality from the graph.
A. 1/2
B. 8
C. 2
D. 5
[tex]y=-4/3x+4[/tex]
Which system of equations is in standard form?
The area of the rectangle shown is 32x^2 + 12 If width can be represented by 4x, write an expression to represent the length of the rectangle
Answer:
L=(8x^2+3)/x
Step-by-step explanation:
The area of a rectangle is length time width.
A=LW
In this case,
A=32x^2+12
W=4x
Solve for L
L=A/W
Substitute
L=(32x^2+12)/4x
L=(8x^2+3)/x
Jillian noted that 17 of the guests said they wanted to eat a hotdog at the party hotdog buns are sold in packs of eight how many packs of hotdog buns should jillian buy
Which equation represents a nonlinear function?
O A. 7x - 3y = 0
O B. X = 12y - 4
O C. 9xy = 19
O D. X + 7 = 0
H E L P M E P L E A S E
Answer:
B: 56 ounces no hate If I am wrong :)