Use [tex]\sec\theta = \dfrac{1}{\cos{\theta}}[/tex] to get
[tex]\sec\theta -\cos{\theta}= \dfrac{1}{\cos{\theta}}-\cos(\theta})[/tex]
Then find a common denominator:
[tex]\dfrac{1}{\cos{\theta}}-\cos(\theta}) = \dfrac{1}{\cos{\theta}}-\dfrac{\cos^2\theta}{\cos\theta}[/tex]
But now make that one fraction:
[tex]\dfrac{1}{\cos{\theta}}-\dfrac{\cos^2\theta}{\cos\theta} = \dfrac{1 - \cos^2\theta}{\cos{\theta}}[/tex]
But that's just sin^2 on the top
[tex]\dfrac{1 - \cos^2\theta}{\cos{\theta}} = \dfrac{sin^2\theta}{\cos{\theta}} = \dfrac{sin\theta\cdot sin\theta}{\cos{\theta}}[/tex]
Split that fraction up:
[tex]=\dfrac{ sin\theta}{\cos{\theta}}\cdot sin\theta[/tex]
And tan = sin/cos
[tex]=\tan\theta\cdot sin\theta[/tex]
PLs HElp Will give brainiest
k 12 test
1. Multiply.
(−6.8)(−0.06)
2. Multiply.
11.54⋅(−2.6)
3.Multiply.
(−2.07)(4.6)
4.The area of a garden is 12.9 square feet. Each square foot of the garden needs to have 2.6 pounds of soil.
How many pounds of soil are needed for the garden?
5. Multiply.
2.3⋅(−1.2)
a. −27.6
b. −2.76
c. 2.76
d. 27.6
Answer:
Step-by-step explanation:
1 =0.408
2=−30.004
3=−9.522
4= 33.54 pounds of soil are needed
5= b -2.76
1. Multiply (-6.8) * (-0.06) = 0.408
2. Multiply 11.54 * (-2.6) = -30.004
3. Multiply (-2.07) * (4.6) = -9.502
4. The garden needs 33.54 pounds of soil.
5. Multiply a). -27.6
When we multiply two numbers, we are essentially adding one of them multiple times based on the value of the other number. Let's go through each problem step by step.
1. To multiply -6.8 and -0.06, multiply their absolute values
(ignoring signs): 6.8 * 0.06 = 0.408.
Since both numbers are negative, the product is positive:
(-6.8) * (-0.06) = 0.408.
2. For 11.54 * (-2.6), multiply their absolute values:
11.54 * 2.6 = 30.004.
One number is negative, so the product is negative:
11.54 * (-2.6) = -30.004.
3. Multiply the absolute values of -2.07 and 4.6: 2.07 * 4.6 = 9.502.
The numbers have different signs, so the product is negative: (-2.07) * (4.6) = -9.502.
4. The area of the garden is 12.9 square feet, and each square foot requires 2.6 pounds of soil.
To find the total soil needed, multiply: 12.9 * 2.6 = 33.54. Therefore, the garden needs 33.54 pounds of soil.
5. To multiply 2.3 and -1.2, multiply their absolute values: 2.3 * 1.2 = 2.76. Since one number is negative, the product is negative: 2.3 * (-1.2) = -2.76, which matches option a.)
To know more about Area here
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What is the value of 2(-8) (- 5) + 12
A. Find the indicated number of geometric mean/s between the given two numbers.
1. 5 and 20 [ 1 term ]
2. 8 and 512 [2 terms]
3. 2 and 50 [ 1 term ]
4. 6 and 486 [3 terms]
5. 4 and 108 [2 terms]
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The ratio of the given terms is the common ratio raised to a power equal to the number of means plus 1.
1)For example, the common ratio in the sequence 5, __, 20 will be r, where ...
r^2 = 20/5 = 4 ⇒ r = 4^(1/2) = 2
Then the mean is found by multiplying 5 by this ratio: 5×2 = 10.
__
2-5)The same method is used for finding the common ratio and then the intermediate means. Each mean is the previous term multiplied by the common ratio. Results are summarized in the attached table.
_____
Additional comment
When there are a number of similar calculations to be done, it is convenient to let a spreadsheet do them.
what is the answer to: − 2 − 1 3 . 8 = − 8 − ( 6 + 1 )?
Hòa tan hoàn toàn 11 gam hỗn hợp gồm Fe và một kim loại M có hóa trị không đổi bằng dung dịch HCl thu được 0,4 mol khí H2. Còn khi hòa tan 11 gam hỗn hợp trên bằng dung dịch HNO3 loãng, dư thì thu được 0,3 mol khí NO (sản phẩm khử duy nhất). Kim loại M là?
\
Answer:
chinese
Step-by-step explanation:
I dont know that language
suppose another line for a chair lift is placed at a constant distance c below the gondola line. what is the equation of the new line? is the new line also parallel to the hill? explain.
Answer:
Yes They are Parallel.
Step-by-step explanation:
The required equation of the line y = ax + c as of the old line and also the line is parallel to the hill.
Given that,
Suppose another line for a chair lift is placed at a constant distance c below the gondola line. the equation of the new line and is the line parallel to the hill is to be discussed.
A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.
Here,
The required new line is placed at a constant distance c below the gondola line,
If the line has a constant distance from the other line that implies that the line is parallel, and the equation of the line is given as,
y = ax + c
Thus, the required equation of the line y = ax + c as of the old line and also the line is parallel to the hill.
learn more about lines here:
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How to solve 0.5(7d+4)=7-1.5d
4 + 4x = -5(x - 8)
Solve Multi-Step equation.
Please explain how you i can understand too!
Answer:
If solving for x its
4 + 4x = -5(x - 8) (side math --> -5x +40)
-4. = -4
4x = -5x + 36
+5x = +5x
9x = 36
÷ ÷ (by 9)
x = 4
Step-by-step explanation:
Each equation solution, brings down another answer, making this equal x=4
Theres 152 ranch homes and 22 split level homes. How many homes altogether
Answer:
174 homes
Step-by-step explanation:
152+22
simplify to get your answer:
174
Solve for x.
2 + 6x = 20
x = [?]
Answer:
x = 3
Step-by-step explanation:
2 + 6x = 20
6x = 18
x = 3
Hopefully this helps!
Brainliest please?
Answer:
2+6x=20
2- -2
6x/6=18/6
=3
Step-by-step explanation:
STRUCTURE A quality control inspector at a bolt factory examines random bolts that come off the assembly line. All bolts being made must be a tolerance of 0.04 mm. The inspector is examining bolts that are to have a diameter of 6.5 mm.
From an absolute value inequality, we have that:
The minimum diameter is 6.46 mm.The maximum diameter is 6.54 mm.The absolute value measures the distance of a point or a function to the origin.One example of inequality is:[tex]|f(x)| \leq a[/tex]
Which has solution:
[tex]-a \leq f(x) \leq a[/tex]
In this problem:
Bolts with a diameter of 6.5 mm, with a tolerance of 0.04 mm, thus the absolute value of the difference of the diameter D and 6.5 has to be of at most 0.04, that is:[tex]|D - 6.5| \leq 0.04[/tex]
Applying the solution:
[tex]-0.04 \leq D - 6.5 \leq 0.04[/tex]
[tex]-0.04 \leq D - 6.5[/tex]
[tex]D - 6.5 \geq -0.04[/tex]
[tex]D \geq 6.46[/tex]
[tex]\leq D - 6.5 \leq 0.04[/tex]
[tex]D \leq 6.54[/tex]
The minimum diameter is 6.46 mm.The maximum diameter is 6.54 mm.A similar problem is given at https://brainly.com/question/24835634
Prove the following relations: 1) (1 - cos²A) (1 + tan²A) = tan²A
Step-by-step explanation:
(1 - cos²A)(1 + tan²A) = tan²A
1 + tan²A - cos²A - cos²A · tan²A = tan²A
1 + tan²A(1 - cos²A) - cos²A = tan²A
1 - cos²A + tan²A(sin²A) = tan²A
sin²A + tan²A(sin²A) = tan²A
sin²A (1 + tan²A) = tan²A
sin²A (sec²A) = tan²A
sin²A (1/cos²A) = tan²A
(sin²A)/(cos²A) = tan²A
tan²A = tan²A → Proved
Lucy is saving money to buy a game. So far she has saved $12 , which is two-thirds of the total cost of the game. How much does the game cost?
Answer:
18$
Step-by-step explanation:
Pick < ,< or = to make the statement true. 11 ..... 52/9
PLZ HURRRYYYYY
Answer:
>
Step-by-step explanation:
lets make 52/9 a mixed number, 5 7/9
so >
11> 5 7/9
Find the Inverse function F(x)=4x-6
y = 4x - 6
x = 4y - 6; must solve for y in order to solve for inverse function
x + 6 = 4y
(x + 6)/4 = y
or
(x/4) + (6/4) = y
y = (x/4) + 3/2
Multiply. Enter your answer in scientific notation.
(1.6 x 10^*5)(6.7 x 10^*12
Answer:
1.072 x 10^18
Step-by-step explanation:
(1.6 x 10^5) x (6.7 x 10^12) = 1.072e18 = 1.072 x 10^18
I hate sails math- like what is the point of it? -_-
Answer:
The only math I see having a point is basic math like addition subtraction multiplication and division, unless you are going for a job that requires ALOT of harder math.
How do I simplify 3(x-4)-5(z+2x) ?
I have it down to 3x-(-12)-5z+2x because I multiplied the first set of parenthesis by 3 and the second set by -5. The answer is -7x-5z-12 but how do I get there?
maggi buys 3/4 of a pound of blueberries and uses 5/3 of them to make a smoothie
hovv many pounds of blueberries did maggi use to make a smoothie???????????????????????
Answer:
Step-by-step explanation:
it is 5/4 of a pound because because 5/3*3/4 = 5/4
Answer for brainily fast
Hello there!
This triangle is equilateral. Therefore, all the sides are equal.
We are given one of them. It is 12 units.
Therefore, all the other sides are 12 units long.
So a=12
Hope this helps you! :)
#HaveAnAmazingDay
[tex]GraceRosalia[/tex]
the side lenghts of a triangle are 14,15, and x units
9514 1404 393
Answer:
1 < x < 29
Step-by-step explanation:
The triangle inequality requires the sum of the two shortest sides exceed the longest side.
When x and 14 are the shortest:
x + 14 > 15
x > 1
When 14 and 15 are the shortest:
14 +15 > x
29 > x
Then the requirement for the length of x is ...
1 < x < 29
_____
Additional comment
The length of the third side of a triangle can be between the difference and sum of the two given sides.
3
Use the drawing tools) to form the correct answer on the provided graph
Plot the axis of symmetry and the point where the maximum value occurs for this function
x=+x+22-8
Undo
Reset
Draming Tools
Click on a to be in drag
Select
Mark Feature
Line
ESSE
E
OUT
To find the maximum value of the function, we need to know the vertex of the parabola[tex]\large \boldsymbol {} \displaystyle ax^2+bx+c=0 \\\\ \boldsymbol{x_v=-\frac{b}{2a} } \\\\\\ \boldsymbol {y_v=ax_v+bx_v+c}[/tex]
Where [tex]\large \boldsymbol {x_v \ \ ; \ \ y_v}[/tex] - are the coordinates of the vertex of the parabola
[tex]\large \boldsymbol \displaystyle {} f(x)=-(x+2)^2+8 = -1\cdot x^2-4x+4 \\\\\\ \displaystyle x_v=-\frac{-4}{-2} =-2 \\\\\\y_v=-(-2+2)^2+8 =8[/tex] The graph in the attached file
help please help help
Answer:
the 3rd one i think
Step-by-step explanation:
Answer:
The second one
1/m8
solve for y
2x+3y=r
(Show solving steps please)
2x + 3y = r
---Subtract 2x from both sides
3y = r - 2x
---Divide both sides by 3
y = (1/3)(r) - (2/3)(x)
Hope this helps!! :)
help please i dont know how to do this
7 divided by 55 but every step must be shown, thank you
Step-by-step explanation:
how many positions after the decimal point ?
7 ÷ 55 = 0.12727...
7 remainder, we ran out of digits before the decimal point
70 (when there are no more digits, we simply pull 0s)
15 remainder
150
40 remainder
400
15 remainder
150
40 remainder
400
15 remainder
... (that loop now continues forever)
The circle graph below shows the results of a survey. Of those surveyed, 20 said no. About how many people were surveyed?
Answer:
50 people
Step-by-step explanation:
20 / .4 = 50
if 40% = 20
then 20% = 10
therefore 60% = 20% *3
60% = 10 * 3
60% = 30 people
hope this helps
Translate to an equation and solve. Let x be the unknown number.
94 is 25% of what number?
What: x
Is: =
Of: multiple
Answer:
x= 376
Step-by-step explanation:
100/25=4
94*4=376
Help me, please!!!
Lesson 3-8. Write an equation for the line perpendicular to the given line through the given point.
Answer:
y = -3x + 14Step-by-step explanation:
Given line:
y = 1/3x - 2/5Perpendicular lines have negative-reciprocal slopes.
We will have a line:
y = -3x + bUse the coordinates of the given point to find the value of b:
-1 = -3(5) + b-1 = - 15 + bb = 14So the line is:
y = -3x + 14Solving Two Step Equations
3(x + 4) - 5 = 2x + 4
Answer:
-3=x
Step-by-step explanation:
3(x+4)-5=2x+4
use distributive property to get:
3x+12-5=2x+4
simplify to get:
3x+7=2x+4
subtract 4 from both sides to get:
3x+3=2x
subtract 3x from both sides to get:
3=-x
multiply both sides by -1 to get your answer:
-3=x
