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Musya8 [376]
2 years ago
9

An elephant at the zoo drinks 88 gallons of water each day. The table shows the number of days the elephant drinks water and the

number of gallons this elephant drinks during that time. What is the expression for the number of gallons this elephant will drink in x days?
Mathematics
1 answer:
gregori [183]2 years ago
8 0

Answer:

To anser the question we would need to see the table that shows the number of days the elephant drinks water and the number of gallons this elephant drinks during that time.

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What point is an x-intercept of the quadratic function f(x) = (x - 8)(x + 9)
Damm [24]
Hi,

Work:

Equation;

f(x) = (x - 8)(x + 9)

Roots: (-9, 0), (8, 0)

Domain: x = R

Minimum: (-1/2, -289/4)

Vertical intercept: (0, -72)



Hope this helps.
r3t40



6 0
3 years ago
Let (-7, 2) be a point on the terminal side of 0.
nekit [7.7K]

By applying the definitions of <em>trigonometric</em> functions, the <em>exact</em> values of the sine, secant and tangent of the point on the <em>terminal</em> side are \sin \theta = \frac{2}{\sqrt{53}}, \sec \theta = -\frac{\sqrt{53}}{7} and \tan \theta = -\frac{2}{7}.

<h3>How to determine the exact values</h3>

In this question we need to find the exact values of three <em>trigonometric</em> functions associated with the <em>terminal</em> side of an angle. The following definitions are used:

Sine

\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}     (1)

Secant

\sec \theta = \frac{\sqrt{x^{2}+y^{2}}}{x}     (2)

Tangent

\tan \theta = \frac{y}{x}     (3)

If we know that x = - 7 and y = 2, then the exact values of the three <em>trigonometric</em> functions:

Sine

\sin \theta = \frac{2}{\sqrt{53}}

Secant

\sec \theta = -\frac{\sqrt{53}}{7}

Tangent

\tan \theta = -\frac{2}{7}

By applying the definitions of <em>trigonometric</em> functions, the <em>exact</em> values of the sine, secant and tangent of the point on the <em>terminal</em> side are \sin \theta = \frac{2}{\sqrt{53}}, \sec \theta = -\frac{\sqrt{53}}{7} and \tan \theta = -\frac{2}{7}.

<h3>Remark</h3>

The statement reports typing errors, correct form is shown below:

<em>Let (x, y) = (- 7, 2) be a point on the terminal side of θ. Find the exact value of sin θ, sec θ and tan θ.</em>

To learn more on trigonometric functions: brainly.com/question/6904750

#SPJ1

5 0
1 year ago
{ TOPIC -- TRIGONOMETRIC IDENTITIES }
UkoKoshka [18]
LHS ⇒ RHS:
Identities:
[1] cos(2A) = 2cos²(A) - 1 = 1 - 2sin²(A)
[2] sin(2A) = 2sin(A)cos(A)
[3] sin(A + B) = sin(A)cos(B) + cos(A)sin(B)
[4] cos(A + B) = cos(A)cos(B) - sin(A)sin(B)

cos(x) - cos(x + 2Θ)
= cos(x) - (cos(x)cos(2Θ) - sin(x)sin(2Θ))    [4]
= cos(x) - cos(x)(1 - 2sin²(Θ)) + sin(x)(2sin(Θ)cos(Θ))    [1] [2]
= cos(x) - cos(x) + 2sin²(Θ)cos(x) + 2sin(Θ)sin(x)cos(Θ)
= 2sin²(Θ)cos(x) + 2sin(Θ)sin(x)cos(Θ)
= 2sin(Θ)(sin(Θ)cos(x) + sin(x)cos(Θ))
= 2sin(Θ)sin(x + Θ)
8 0
2 years ago
A chef is filling one sink with water, while emptying another. The first sink is empty and is being filled at a rate of 4 gallon
Karolina [17]
It should take 4 minutes
7 0
2 years ago
Please help asap need it done. What is the measure of ∠CED and ∠ACD?
worty [1.4K]

Answer:

m\angle CED= 64\°  

m\angle ACD=124\°  

Step-by-step explanation:

In the figure given:

∠ABC = 93°

∠BAC = 31°

∠CDE = 60°

To find ∠CED and ∠ACD.

Solution:

In triangle ABC, we are given two vertex angles. We can find the third angle as angle sum of triangle = 180°.

∠ABC = 93° , ∠BAC = 31°

∠BCA=  180\°-(93\°+31\°)

∠BCA = 56°

m\angle BCA+m\angle ACD=180\°    [Supplementary angles forming a linear pair]

m\angle ACD=180\°-56\°

m\angle ACD=124\°   (Answer)

In triangle CDE:

m\angle CDE+m\angle CED = m\angle ACD   [Exterior angle theorem :Exterior angle of a triangle is equal to sum of opposite interior angles ]

60\°+m\angle CED = 124\°

m\angle CED= 124\°-60\°

m\angle CED= 64\°      (Answer)

4 0
2 years ago
Read 2 more answers
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