7 candes cost £45.29,
how much would 25 candles cost?
Answer:
161.75
Step-by-step explanation:
45.28 divided by 7 = 6.47
6.47 per cande
6.47 times 25 = 161.75
what is 8x3 and 7x8 can you please answer thisplease
Answer:
24 and 56
Step-by-step explanation:
8*3=24
7*8=56
Review the incomplete steps in the derivation of the tangent sum identity.
A 2-column table with 5 rows. Column 1 has entries Step 1: Original expression, step 2: rewrite using the definition of tangent, step 3: apply the sine sum identity and cosine sum identity, step 4: question mark, step 5: simplify using the definition of tangent. Column 2 has entries tangent (x + y), StartFraction sine (x + y) Over cosine (x + y) EndFraction, StartFraction sine (x) cosine (y) + cosine (x) sine (y) Over cosine (x) cosine (y) minus sine (x) sine (y) EndFraction, blank, StartFraction tangent (x) + tangent (y) Over 1 minus tangent (x) tangent (y) EndFraction.
Which action can be taken to the expression in Step 3 to give an expression for Step 4?
divide both the numerator and denominator by sin(x)sin(y)
divide both the numerator and denominator by sin(x)cos(y)
divide both the numerator and denominator by cos(x)sin(y)
divide both the numerator and denominator by cos(x)cos(y)
Answer:
D divide both the numerator and denominator by cos(x)cos(y)
Step-by-step explanation:
just took test
The derivation of tangent sum identity taken to the expression in Step 3 to give an expression for Step 4 is option D; divide both the numerator and denominator by cos(x)cos(y).
What is trigonometric identity?The trigonometric identities is the relationship between the different trigonometric ratios.
These trigonometric identities are the basic formulae that are true for all the values of the reference angle.
For the given situation, the derivation for the tangent sum identity is given in the table below.
The derivation follows the steps,
[tex]\dfrac{sin (x+y)}{cos (x +y)}[/tex]
we know that,
sin (x + y) = sin x cos y + cos x sin y
cos (x + y) = cos x cos y - sin x sin y
Substitute;
[tex]\dfrac{sin x cos y + cos x sin y}{cos x cos y - sin x sin y}[/tex]
Divide each term by cos x cos y
[tex]\dfrac{\dfrac{sin x cos y}{cos x cos y} + \dfrac{cos x sin y}{cos x cos y} }{\dfrac{cos x cos y}{cos x cos y} - \dfrac{sin x sin y}{cos x cos y} }[/tex]
Now, [tex]\dfrac{tan x + tan y}{1 - tan x tan y}[/tex]
Hence we can conclude that the derivation of tangent sum identity taken to the expression in Step 3 to give an expression for Step 4 is option D; divide both the numerator and denominator by cos(x)cos(y).
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(20 PTS) WILL GIVE BRAINLIST
Which statement best describes the area of the triangle shown below?
A coordinate grid is shown with a triangle. The base is 4 units, and the height is 4 units.
It is one-half the area of a rectangle of length 4 units and width 2 units.
It is twice the area of a rectangle of length 4 units and width 2 units.
It is one-half the area of a square of side length 4 units.
It is twice the area of a square of side length 4 units.
Answer: 3rd one I think
Step-by-step explanation: I had smth like this
Answer:
You got it right! The answer is [A].
Step-by-step explanation:
Visualize a rectangle 4 units long and 2 units wide. Doesn't each part of the triangle seem to be a half of different parts of the rectangle?
10. The hour hand of a clock is 8 cm long.
What area does it cover in:
(a) 12 hours?
A recipe for grape Gatorade calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice.
1. How much sparkling water would you need to mix with 9 quarts of grape juice?
(Please help)
Answer: 3 1/2
Step-by-step explanation:
Yes
Answer:3 1/2
Step-by-step explanation:
jasons cutting a 2 2/5 meter string into sections that are 3/4. how many sections can he cut
Answer:
3 1/5
Step-by-step explanation:
Okay, this is a standard division problem, so our equation is:
2 2/5 ÷ 3/4
but then we have to covert the mixed number to an improper fraction:
12/5 ÷ 3/4
do the cross thingy:
4/5 x 4/1 = 16/5 = 3 1/5
So Jason can cut 3 1/5 sections or 3 if you round
please help for bainlest
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4} -\frac{1}{3}[/tex]
Find the common denominator and multiply each side by that number
[tex]\frac{9}{12} -\frac{4}{12}[/tex]
[tex]\frac{5}{12}[/tex]
For bolded part in explanation: 4·3=12 3·3=9
3·4=12 1·4=4
Find the perimeter of the figure.
Answer:
It's 54
Step-by-step explanation:
When factored completely, x3+ 3x2 - 4x-12 equals?
Answer:
(x - 2) (x + 2) (x + 3)
Step-by-step explanation:
Dont know the full thing but hope some of this helps!
Answer:
(x - 2) (x + 2) (x + 3)
Step-by-step explanation:
What is the slope of the line that contains these points
Answer:
slope is 5 hope it helps lol lol lol lol
Select the equation that is true.
Answer:
you didnt attach anything
Step-by-step explanation:
What is the y-intercept in this equation?
6x + 3y = 24
Answer: y=−2x+8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Let's rewrite this in slope intercept form, and isolate y on the left side. First, subtract 6x from both sides:
3y = 24 - 6x
Then divide both sides by 3:
y = -2x + 8
Now that it's in y = mx+b form, we can see that the slope is -2, and the y intercept is 8.
Hope this helps!
Which of the following is the point-slope form of the equation of the line with slope 4
that crosses the point (1, 3)?
Oy-1= 4(x – 3)
Oy+1= 4 (2+3)
Oy-3= 4(x - 1)
Oy+3 = 4(x+1)
Answer:
Third option
[tex]y-3=4(x-1)[/tex]
Step-by-step explanation:
Equation of straight line in point slope form is given as
[tex]y-y_1=m(x-x_1)[/tex]
Here
slope=m=4 and [tex](x_1, y_1) = ( 1, 3 )[/tex]
Equation of straight line having slope 4 and crossing from point (1, 3) is given as
[tex]y-3=4(x-1)[/tex]
Sara’s recipe calls for 6 1/3 cups of cake mix and 1 1/8 cups of water to make 8 servings. How many cups of cake mix and water do you need for 1 serving? (Use scale factor)
Answer: cups of cake mix: 19/24 cups of water: 11/64
Step-by-step explanation:
Because it is not dividing by a fraction all you have to do is multiply its denominator by 8.
-8d - 5d +7d=72 what is the answer i am completely lost
Answer:
d=-12
Step-by-step explanation:
hope this helps!
help me please quickly
Answer:
(1) 4
Step-by-step explanation:
Isolate x.
[tex]\frac{x-2}{3}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{5}{6}[/tex]
[tex]\frac{x-2}{3}[/tex] = [tex]\frac{5}{6}[/tex] - [tex]\frac{1}{6}[/tex]
[tex]\frac{x-2}{3}[/tex] = [tex]\frac{2}{3}[/tex]
[tex]\frac{x-2}{3}[/tex] × 3 = [tex]\frac{2}{3}[/tex] × 3
x - 2 = 2
x = 2 + 2
x = 4
Gerald has three fewer marbles than Jan together they have 21 marbles which equation represents the situation
Answer:
b
Step-by-step explanation:
If y = 3x^4 -2x^3-7x+5, find dy/dx.
The derivative of [tex]y = 3x^4 - 2x^3 - 7x + 5[/tex] with respect to x is
dy/dx = 12x³ - 6x² - 7.
We have,
The power rule states that if we have a term of form a[tex]x^n[/tex], the derivative with respect to x is given by [tex]d/dx(ax^n) = nax^{n-1}.[/tex]
Applying the power rule, we differentiate each term as follows:
[tex]d/dx(3x^4) = 3 \times 4x^{4-1} = 12x^3\\d/dx(-2x^3) = -2 \times 3x^{3-1} = -6x^2\\d/dx(-7x) = -7 \times 1x^{1-1} = -7[/tex]
d/dx (5) = 0 (since 5 is a constant)
Combining these derivatives, we get:
dy/dx = 12x³ - 6x² - 7
Therefore,
The derivative of [tex]y = 3x^4 - 2x^3 - 7x + 5[/tex] with respect to x is
dy/dx = 12x³ - 6x² - 7.
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Solve and explain how you did
Answer:
We conclude that:
[tex]-\left(9x\right)^0=-1[/tex]Step-by-step explanation:
Given:
[tex]-\left(9x\right)^0[/tex]
To determine:
Explain how to solve the expression
Solving the expression
[tex]-\left(9x\right)^0[/tex]
Apply the exponent rule
[tex]a^0=1,\:\quad \:a\ne \:0[/tex]
so the expression becomes
[tex]-\left(9x\right)^0\:=\:-1[/tex]
Therefore, we conclude that:
[tex]-\left(9x\right)^0=-1[/tex]△ABC∼△EFG.
Given m∠A=39° and m∠F=56°, what is m∠C?
Answer:
x=85
Step-by-step explanation:
let's angle c be x
39+56+x=180
95+x=180
x=180-95
x=85
Answer:
85 degrees
Step-by-step explanation:
In similar triangles, corresponding angles are congruent, or have the same measure.
Therefore, angle B must also be 56 degrees. In a triangle, there are 180 degrees.
A+b+c=180
39+56+c=180
c=85 degrees.
NEED HELP PLEASE PLEASE
Find the length of each segment write your answer in simplest radical form. I NEED HELP ASAP
Answer:
1. 5
2. [tex]\sqrt{85}[/tex]
3. [tex]\sqrt{26}[/tex]
Step-by-step explanation:
1. just count the units: 5 units
2. Find the slope = rise/run = -7/6
you now have a right triangle, one side is 7 units (from the rise), and the other is 6 units (from the run)
use the pythagorean theorem to find the hypotenuse.
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]7^{2} + 6^{2} = c^{2}[/tex]
49 + 36 = [tex]c^{2}[/tex]
85 = [tex]c^{2}[/tex]
[tex]\sqrt{85} = \sqrt{ c^{2}[/tex]
[tex]\sqrt{85} = c[/tex]
Simplify the radical, but [tex]\sqrt{85}[/tex] is farthest that it can go, so that is the answer.
3. same process as 2
slope = -1/5
[tex]1^{2} + 5^{2} = c^{2}[/tex]
1 + 25 = [tex]c^{2}[/tex]
26 = [tex]c^{2}[/tex]
[tex]\sqrt{26} = c[/tex]
That is the farthest it can go, so that will be the answer.
Here is a list of numbers:
10, 3, -2, 19, -19, 4, 13, 6, 7
State the median.
Answer:
the answer is 6
Step-by-step explanation:
please help
this is due at noon so anyone who knows this help me.
Answer:
70x+4^2+3
Step-by-step explanation:
List 4 true angle facts about the illustration created by
AD intersects FK at point M.
Walking Robert walks 7 blocks east from his home and arrives at his favorite restaurant. When he arrives, he discovers that he dropped his wallet along the way. He retraces his steps for 5 blocks until he finds his wallet. An expression for how many blocks east Robert is from his home after finding his wallet is the sum 7+(−5).
Answer:
2 block east from home
Step-by-step explanation:
Given an expression for how many blocks east Robert is from his home after finding his wallet as the sum 7+(−5),
Simplifying the given expression
7+(-5) = 7-5 (note that the product of a plus and minus sign will give a minus sign)
7-5 = 2
Hence Robert will be 2 block east from home
Mr. Tang gives a math test worth 90 points that contain 25 questions. Multiple-choice questions are worth 3 points and word problems are worth 4 points. How many of each type of question are there?
Answer:
m=10
w=15
Step-by-step explanation:
m + w = 25
3m + 4w = 90
Let's do substitution, first by solving the first equation for m.
m = 25 - w
Substitute!
3(25 - w) + 4w = 90
75 - 3w + 4w = 90
w = 15
m = 25 - 15 = 10
100 POINTS! SOLVE FOR X. PIC ATTACHED. Random answers will be reported.
Answer:
x = 29Step-by-step explanation:
The angles (2x- 10) and (4x+ 16) are consecutive interior angles and therefore are corresponding
Corresponding angles sum to 180
(2x - 10) + (4x + 16) = 1806x + 6 = 1806x = 174x = 174/6x = 29Suppose that a person's peak blood alcohol level is0.04 (grams per 100 mL) and that this level decreases by 20% each hour.
Answer:
Step-by-step explanation:
incomplete question