Answer:
[tex] \cos(2A) = { \cos }^{2} A - { \sin }^{2} A \\ = { \cos }^{2} A - \frac{1}{ \csc {}^{2} A} \\ \\ = \frac{( { \cos}^{2} A. \csc {}^{2}A ) - 1}{ { \csc }^{2} A} \\ \\ = \frac{( \frac{ { \cos}^{2}A }{ { \sin }^{2} A}) - 1 }{ { \csc }^{2} A} \\ \\ = \frac{ { \cot}^{2}A - 1 }{ { \csc}^{2} A} [/tex]
but csc²A = cot²A + 1:
[tex] = \frac{ { \cot}^{2}A - 1 }{ { \cot }^{2}A + 1 } [/tex]
# proved
Find the equation of the line perpendicular to the 13x-3y=9 and passing through (-5,0)
9514 1404 393
Answer:
x +4y = -5
Step-by-step explanation:
The equation of the perpendicular line can be found by swapping the x- and y-coefficients and negating one of them. The new constant can be found by substituting the point values into the equation.
3x +12y = 3(-5) +12(0)
3x +12y = -15
We notice that all of the values include a factor of 3. We can divide that out to put the equation in standard form:
x + 4y = -5
Write the following phrase as a variable expression. Use x to represent "a number" the sum of a number and seventeen
translation is:
Answer:
[tex]x+17[/tex]
Step-by-step explanation:
Hi there!
Let [tex]x[/tex] represent "the number".
The sum of a number and seventeen
⇒ [tex]x+17[/tex]
I hope this helps!
Autumn bought a square frame for her desk that has an area of 361 square units.
What is the perimeter of the frame?
there are 16 marbles in a bag 12 of them are blue and 4 are yellow. what is the probability of picking a blue marble then a yellow marble without replacing the first one
11/20
3/7
1/5
Answer:
1/5
Step-by-step explanation:
the prob that you will pick a blue marble would be 12/16, easy.
then the prob of picking a yellow marble after that would be 4/15 since one marble is already missing. multiply the numerator and denominator of each fraction. so 12 x 4 and 16 x 15 to get 48/240. then divide each by 48 to get 1/5.
the answer is 1/5
hope that solve your problem for whoever gets this question
{x:x is a natural number and x is greater than 70} write the set in listed form.
Answer:
{71,72,73,74,75,76,77,78,79,80}Step-by-step explanation:
natural numbers start from one but it says greater than 70 so it will start from 71 but to any number as long as it is greater than 70
What is the slope of the line that passes through the points
(4,-5) and (3, 8)?
0 -3
O 13
0 -13
I need with this math question
Answer:
h(-2) = 224
Step-by-step explanation:
Lamar is solving the equation x^2 - 12x = -6 by completing the square. Which
shows Lamar's next step and the solution to the equation?
Answer:
Lamar's next step is x^2 — 12x + 6 = 0
The solution to the equation is x = ± 6√30
Step-by-step explanation:
Eva needs to order some new supplies for the restaurant where she works. The
restaurant needs at least 749 forks. There are currently 173 forks. If each set on sale
contains 18 forks, use the drop-down menu below to write an inequality representing
s, the number of sets of forks Eva should buy.
Answer:
s≥32
Step-by-step explanation:
Subtract 173 from 749: 576
since each set has 18 forks, divide 576 by 18: 32
since the restaurant needs at LEAST 32 more sets, s has to be greater or equal to 32
Sarah counted the number of tiles at each step and made a table. She explained that the
number of tiles in each figure was always 3 times the step number minus 2.
Create an equation that fits Sarah's way of seeing the relationship.
PLS HELP DUE IN 10 min!!
Answer:
n(number of tiles) x 3 - 2
Step-by-step explanation:
times mean multiplication and minus mean subtraction, I hope this helps.
An equation is formed of two equal expressions. An equation that fits Sarah's way of seeing the relationship is y = 3x - 2.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
As stated by Sarah that "the number of tiles in each figure was always 3 times the step number minus 2", this can be written in the form of an equation as shown below.
Number of tiles = [3 × (Number of steps)] - 2
Assume that the number of tiles is represented by y, while the number of steps can be written as x. Therefore, we can write the equation as,
y = 3x - 2
Now, let's check the equation,
When the number of steps is 3, the number of tiles is 7.
y = 3(3) - 2
y = 9 - 2
y = 7
Since the number of tiles is the same, therefore, the equation is correct.
Hence, an equation that fits Sarah's way of seeing the relationship is y = 3x - 2.
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H. Pete wants a new truck. The sale price is 15% lower than the original price. The sale price is $20,000. Write and evaluate an expression for the original price Uses for sale price and p for original price. L. Emma Lee needs a new road bike. The sale price is 10% lower than the original price. The sale price is $450. Write and evaluate an expression for the original price, Uses for sale price and p for original price. J. You can find the distance in feet that an object falls in t seconds using the expression 1612. If you drop a ball from a tall building, how far does the ball fall in 5 seconds?
100-15=85%=SP
[tex]\\ \sf\longmapsto 85\%\times x=20000[/tex]
[tex]\\ \sf\longmapsto \dfrac{85}{100}x=20000[/tex]
[tex]\\ \sf\longmapsto x=20000\times \dfrac{100}{85}[/tex]
[tex]\\ \sf\longmapsto x=235.2(100)[/tex]
[tex]\\ \sf\longmapsto CP=23520[/tex]
Solution:-2SP=450Discount=10%CP=?100-10=90%=SP
[tex]\\ \sf\longmapsto 90\%\times x=450[/tex]
[tex]\\ \sf\longmapsto \dfrac{90}{100}x=450[/tex]
[tex]\\ \sf\longmapsto x=450\times \dfrac{100}{90}[/tex]
[tex]\\ \sf\longmapsto x=5(100)[/tex]
[tex]\\ \sf\longmapsto CP=500[/tex]
Each face of a cube is a square with a side length of 8 centimeters. What is
the total area of all of the faces of the cube?
Answer:
12
Step-by-step explanation:
the Andrew's going to be 12 because you have to
know all the sides of cube
Leedle Leedle Leedle
Given g(x) = -5x + 5, solve for 2 when g(x) = 0.
Answer:
Step-by-step explanation:
g(x) = 0
0=-5x+5
5x=5
x=1
Answer:
x = 5
Step-by-step explanation:
given:
[tex]g(x) = -5x + 5[/tex]
solve for x, when:
[tex]g(x) = 0[/tex]
replace x with 0
~~~~~~~~~~~~
➡️ [tex] x = -5(0) + 5 [/tex]
➡️ [tex] x = 0 + 5[/tex]
➡️ [tex]x = 5 [/tex]
Help guys please!!!
terms
constant
exponent
variable
coefficient
1.
2.
4.
15x2
303
terms
Answer:
Below,...!
Step-by-step explanation:
1 = Variable
2 = Exponent
3/4 = Coefficient
1. True
2. False
3. True
4. FaLSE
PLEASE HELP!!!!!
Need hELP ASAP
Answer:
bro please help me make me brianliest I think c
If the length L of a rectangle is 3 less than twice the width W, which of the following gives the length of the
rectangle in terms of the of the width
Answer:
L = 2W - 3
Step-by-step explanation:
If the length L of a rectangle is 3 less than twice the width W, then
L = 2W - 3
The expression for the length L of a rectangle is L = 2W - 3.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
The length L of a rectangle is 3 less than twice the width W can be expressed as:
L = 2W - 3
Therefore,
The length of the rectangle can be found by taking twice the width and subtracting 3 from the result.
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Alan has $115.78 in his savings account. He earns $15.00 cleaning out
the garage and puts $7.50 into savings. He withdrawals $35.90 to buy
a video game. He receives $20 from his grandfather and deposits $15
of it into his savings account. What is Alan's balance now?
Answer:
$137.33
Step-by-step explanation:
$115.78 + $15.00 = $130.78
$130.78 + $7.50 = $138.28
$138.28 - $35.90 = $102.33
$102.33 + $20.00 = $122.33
$122.33 + $15.00 = $137.33
Chow,...!
help plz (ASAP) thanks
Answer:
D
Step-by-step explanation:
thank uu
Answer:
the yellow answer is false; second answer
Step-by-step explanation:
Calculate the area of each figure.
(PLS HELP )
HELP ILL GIVE BRAINLIEST QUICK!!
Answer:
Dan is correct
Step-by-step explanation:
First, I calculated the amount of hours that the graph shows in total, coming up with a total of 3,085 hours. I do this by multiplying the number of adults surveyed by the number of hours they spent. So for the first column, (80+70)*1, second column, (90+80)*2, third column, (135+130)*3, fourth column, (140+135)*4, and fifth column, (65+75)*5 if you get what I mean. Then I add up all values. Knowing that there were two sets of 500 American adults interviewed already, I came to the conclusion that 1,000 total adults were surveyed. Finally, I divided the total number of hours(3,085) by the total number of adults interviewed (1,000) to get a mean of 3.085 hours, rounding it to 3 hours and proving that Dan is correct.
88 Decigrams equals 8.8 what
Answer:
8.8 grams
...................
The required 88 Decigrams equals 8.8 grams.
Given that,
To determine 88 Decigrams equals 8.8.
All over the world, most things are in use as of common quantity, so people all over the world agree that they have to follow a common system of measurement and that the common system of measurement is called standard measurement.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
here,
10 decigram = 1 gram
88 decigram = 8.8 gram
Thus, the required 88 Decigrams equals 8.8 grams.
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the difference between 2 numbers is 12. the larger number is 3 times the smaller. what are the numbers
Step-by-step explanation:
hope it helps you check it if there is a mistake sorry!! for that
Vocabulary What type of statement results
from inductive reasoning?
Answer:
Inductive reasoning is the opposite of deductive reasoning. Inductive reasoning makes broad generalizations from specific observations. Basically, there is data, then conclusions are drawn from the data. ... Even if all of the premises are true in a statement, inductive reasoning allows for the conclusion to be false.
Step-by-step explanation:
Hellpp pleaseeeeeeee
Answer:
4th option
Step-by-step explanation:
The translation shifts Δ ABC → Δ A'B'C'
Consider the x- coordinates of A and A'
A has x- coordinate 1
A' has x- coordinate - 3
Then 1 to - 3 is a shift of 4 units left
Answer:
4 units lefts
Step-by-step explanation:
First you have to take 2 similar points, we will take A' and A and counts the squares between them. Since the dashed A is the new translation, we know the translation is left, all we do now is count the squares which is 4.
Cuantos gramos de grasas saturadas hay en 100 g de leche entera en polvo?
Answer: Well 100g is 100 grams so 100 grams?
Step-by-step explanation:
What is the measure of ZW?
Select the best answer from the choices provided.
A.530
B. 74°
C.106°
D.116
Answer:
B) 74
Step-by-step explanation:
This is an icoseles triangle because of the 2 lines in each side. This makes <Y equal to <Z
Given:
<Y = <Z
All triangle angles add up to 180 so:
<W + <Y + <Z = 180
<W + 53 + 53 = 180
<W + 106 = 180
<W = 180 - 106
<W = 74
Simplify 4 + (-3-8).
Answer:
4 + (-3-8)
4 + (-11)
4 (+ × -) 11
4 - 11
- 7
Therefore the answer is -7
Answer:
4 + (-3-8)
4 + (-11)
4 (+ × -) 11
4 - 11
- 7
Therefore the answer is -7
help me find x
help please
Answer:
[tex]4\sqrt{6}[/tex]
[tex]\frac{sin\left(90\right)}{x}=\:\frac{sin\left(60\right)}{\left(\frac{\left(6\cdot \:sin\left(90\right)\right)}{sin\left(45\right)}\right)}[/tex]
Step-by-step explanation:
Find the measure of the number two angles in each figure. Justify each answer
