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LUCKY_DIMON [66]
3 years ago
14

Angle A and angle B are supplementary. The measure of angle A is 4 less than 7 times the measure of angle B. Find the measure of

A and B.
Mathematics
1 answer:
Alexeev081 [22]3 years ago
7 0
<span>A = 157, B = 23 The definition of supplementary angles is that they add up to 180 degrees. So A+B = 180. And A = 7B - 4. So write down the formula A + B = 180 Substitute the formula for A in terms of B 7B - 4 + B = 180 Combine terms 8B - 4 = 180 Add 4 to both sides 8B = 184 Divide both sides by 8 B = 23 Now calculate A in terms of B A = 7B - 4 A = 7 * 23 - 4 = 161 - 4 = 157 Verify that A and B add up to 180 157 + 23 = 180</span>
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a photograph is 5.5 in. long and 3.2 in. wide. it must be enlarged so that both dimensions are 1.8 times greater. how long will
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Hope it helps :) sorry if the answer is wrong

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3 years ago
Find an equation of the tangent line to the curve 2(x^2+y^2)2=25(x^2−y^2) (a lemniscate) at the point (3,1)
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\bf \left[ 4x^3+2\left[ 2xy^2+x^22y\frac{dy}{dx} \right]+4y^3\frac{dy}{dx} \right]=25\left[x-y\frac{dy}{dx}  \right]&#10;\\\\\\&#10;4x^3+4xy^2+4x^2y\frac{dy}{dx}+4y^3\frac{dy}{dx}+25y\frac{dy}{dx}=25x&#10;\\\\\\&#10;\cfrac{dy}{dx}[4x^2y+4y^3+25y]=25x-4x^3+4xy^2&#10;\\\\\\&#10;\cfrac{dy}{dx}=\cfrac{25x-4x^3+4xy^2}{4x^2y+4y^3+25y}\impliedby m=slope

notice... a derivative is just the function for the slope

now, you're given the point 3,1, namely x = 3 and y = 1

to find the "m" or slope, use that derivative, namely f'(3,1)=\cfrac{25x-4x^3+4xy^2}{4x^2y+4y^3+25y}

that'd give you a value for the slope

to get the tangent line at that point, simply plug in the provided values
in the point-slope form

\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad&#10;\begin{cases}&#10;x_1=3\\&#10;y_1=1\\&#10;m=slope&#10;\end{cases}\\ \qquad \uparrow\\&#10;\textit{point-slope form}

and then you solve it for "y", I gather you don't have to, but that'd be the equation of the tangent line at 3,1

6 0
3 years ago
47, , 55, 59, , 67 whats the next 2 numbers
zmey [24]

Answer: 75,83

Step-by-step explanation: add by 8 to every number

3 0
3 years ago
Read 2 more answers
I need some help with this
Korvikt [17]


The following can be deduced from the expressions

m ∠ D = 4 × m ∠ A
m ∠ B = 3 × m ∠ A-12

Please note that the sum of angles in a triangle is 180 degress. Therefore,

M∠ A + m ∠ B + m ∠ D = 180equation(3)

Substitute for equation 1 and 2 in equation 3 as shown below

m ∠ A + 3 × m ∠ A - 12^0 + 4 x m ∠ A =180^0
m ∠ A + 3 × m ∠ A + 4 x m ∠ A = 180^0+12^0
8m ∠ A = 192^0
m ∠ A= 192^0/8
m ∠ A=24^0

Substitute for m∠A= 24 in equation 1 and 2 as shown below

m ∠ D = 4 × m ∠ A
m ∠ D = 4 × 24^0
m ∠ D = 96^0
m ∠ B = 3 × mA - 12^0
m ∠ B = 3 × 24^0 - 12
m ∠ B = 72^0 - 12^0

,

∠= °

∠= °

∠= °
5 0
3 years ago
You are sitting at the edge of the Grand Canyon admiring the view when you notice a tour group at the bottom of the canyon. You
ololo11 [35]

Answer:

7949.13 feet

Step-by-step explanation:

We are given that,

Angle of depression from the spot to the group = 39°

Height of Grand Canyon = 5000 feet.

So, we will get the following figure of a right triangle.

<em>As, 'in a right triangle, the angles and the sides can be written in trigonometric form'.</em>

We get, \sin A=\frac{perpendicular}{hypotenuse}

i.e. \sin 39=\frac{5000}{x}

i.e. x=\frac{5000}{\sin 39}

i.e. x=\frac{5000}{0.629}

i.e. x = 7949.13 feet

Thus, the line of sight distance is 7949.13 feet.

5 0
3 years ago
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