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lawyer [7]
3 years ago
12

I need help on this please

Mathematics
2 answers:
Andrew [12]3 years ago
7 0

Answer:

15.01

Step-by-step explanation:

From the diagram above, the following were obtained:

Adj = 7

0 = 65°

Opp =?

Tan0 = Opp /Adj

Tan65° = Opp/ 7

Cross multiply

Opp =7 x Tan65°

Opp = 15.01

Setler79 [48]3 years ago
7 0

Answer:

Step-by-step explanation:

Triangle ABC is a right angle triangle.

From the given right angle triangle,

AB represents the hypotenuse of the right angle triangle.

With m∠A as the reference angle,

AC represents the adjacent side of the right angle triangle.

BC represents the opposite side of the right angle triangle.

To determine BC, we would apply

the Tangent trigonometric ratio.

Tan θ, = adjacent side/hypotenuse. Therefore,

Tan 65 = BC/7

BC = 7tan65 = 7 × 2.1445

BC = 15.01 to the nearest hundredth.

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Answer: x < 11.9

Step-by-step explanation:

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Which answer is the best explanation for how to check to see that the difference has been calculated correctly for this problem?
scoundrel [369]
A. No, because if you add 76.5 and 4.32, you'll get 80.82 instead of 72.18.

B. Yes, because if you add 72.18 and 4.32 you'll get 76.5

C. No, because if you substract 4.32 from 72.18, you'll get 67.86 instead of 76.5.

D. No, because if you add 76.5 and 72.18, you'll get 144.65 instead of 4.32.

Correct answer: B
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3 years ago
Use implicit differentiation to find the points where the parabola defined by x2−2xy+y2+4x−8y+20=0 has horizontal and vertical t
Komok [63]

Answer:

The parabola has a horizontal tangent line at the point (2,4)

The parabola has a vertical tangent line at the point (1,5)

Step-by-step explanation:

Ir order to perform the implicit differentiation, you have to differentiate with respect to x. Then, you have to use the conditions for horizontal and vertical tangent lines.

-To obtain horizontal tangent lines, the condition is:

\frac{dy}{dx}=0 (The slope is zero)

--To obtain vertical tangent lines, the condition is:

\frac{dy}{dx}=\frac{1}{0} (The slope is undefined, therefore the denominator is set to zero)

Derivating respect to x:

\frac{d(x^{2}-2xy+y^{2}+4x-8y+20)}{dx} = \frac{d(x^{2})}{dx}-2\frac{d(xy)}{dx}+\frac{d(y^{2})}{dx}+4\frac{dx}{dx}-8\frac{dy}{dx}+\frac{d(20)}{dx}=2x -2(y+x\frac{dy}{dx})+2y\frac{dy}{dx}+4-8\frac{dy}{dx}= 0

Solving for dy/dx:

\frac{dy}{dx}(-2x+2y-8)=-2x+2y-4\\\frac{dy}{dx}=\frac{2y-2x-4}{2y-2x-8}

Applying the first conditon (slope is zero)

\frac{2y-2x-4}{2y-2x-8}=0\\2y-2x-4=0

Solving for y (Adding 2x+4, dividing by 2)

y=x+2 (I)

Replacing (I) in the given equation:

x^{2}-2x(x+2)+(x+2)^{2}+4x-8(x+2)+20=0\\x^{2}-2x^{2}-4x+x^{2} +4x+4+4x-8x-16+20=0\\-4x+8=0\\x=2

Replacing it in (I)

y=(2)+2

y=4

Therefore, the parabola has a horizontal tangent line at the point (2,4)

Applying the second condition (slope is undefined where denominator is zero)

2y-2x-8=0

Adding 2x+8 both sides and dividing by 2:

y=x+4(II)

Replacing (II) in the given equation:

x^{2}-2x(x+4)+(x+4)^{2}+4x-8(x+4)+20=0\\x^{2}-2x^{2}-8x+x^{2}+8x+16+4x-8x-32+20=0\\-4x+4=0\\x=1

Replacing it in (II)

y=1+4

y=5

The parabola has vertical tangent lines at the point (1,5)

4 0
3 years ago
I bought a box of granola bars at the store that has a volume of 210 cubic centimeters
Naya [18.7K]

Answer:

a and c

Step-by-step explanation:

The volume (V) of a cuboid is

V = lwh ( l is length, w is width, h is height )

The volume is given as 210 cm³

Check each of the dimensions given to determine which give the correct volume

a

V = 15 × 2 × 7 = 210 ← correct volume

b

V = 14 × 3 × 7 = 294 ← incorrect volume

c

V = 7 × 3 × 10 = 210 ← correct volume

Hence a and c  could be the dimensions of the box


6 0
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A local hospital currently has 184 male patients. If the ratio of male to female patients is 4:3, how many female patients are t
Afina-wow [57]

There are 138 female patients in the hospital.

<h3>Solving word problems involving ratios.</h3>

The solution to the word problem involving ratios in the given problem can be determined as follows.

From the given information:

The total number of people in the hospital = male + female

= 184 + x(unknown)

  • If the ratio of male to female is 4: 3.
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The ratio of males in the hospital is:

\mathbf{184= \dfrac{4}{7} \times x }

\mathbf{184\times 7= 4 x }

x = 322

The number of female patients in the hospital can now be computed as:

\mathbf{=\dfrac{3}{7}\times 322}

= 138 female patients

Check:

The total number of people in the hospital is:

= 184 + 138

= 322 patients

Learn more about word problems here:

brainly.com/question/13818690

#SPJ1

3 0
1 year ago
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