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Vsevolod [243]
2 years ago
8

Find the measure of <4. {{ 24 158° KE * 4 = [?]

Mathematics
2 answers:
never [62]2 years ago
6 0

<4=22°

Answer:

<4+158=180 co interior angle

<4=180-158=22°

Mekhanik [1.2K]2 years ago
3 0

Answer:

solution given:

<4+<158°=180°[co- interior angle]

<4=180°-<158°=22°

<4=22° is your answer

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Hareem takes a medicine to control his blood pressure. he takes a 25 mg pill in the morning. suppose that 60% of the medicine is
Vikentia [17]

The recursive definition for the amount of the blood pressure medicine in hareem bloodstream after n hours would be a_1=25, a_n = 0.60_{n-1} +25

Hence, option B is correct.

<h3>What is the recursive rule?</h3>

A rule is defined such that its definition includes itself.

Example:

F(x) = F(x-1) + c

is one such recursive rule.

Hareem takes medicine to control his blood pressure.

he takes a 25 mg pill in the morning.

Suppose that 60% of the medicine is processed by hareem's body by the time he takes a second 25 mg pill in the evening.

So, the recursive definition for the amount of the blood pressure medicine in hareem bloodstream after n hours would be;

a_1=25, a_n = 0.60_{n-1} +25

Hence, option B is correct.

Learn more about the recursive rule here:

brainly.com/question/12620593

#SPJ1

5 0
2 years ago
Given a leading coefficient of 8, polynomial roots of 1 &amp; 2, and the known point on the graph (4,5). Write an equation that
m_a_m_a [10]

Given:

The leading coefficient of a polynomial is 8.

Polynomial roots are 1 and 2.

The graph passes through the point (4,5).

To find:

The 3rd root and the equation of the polynomial.

Solution:

The factor form of a polynomial is:

y=a(x-c_1)(x-c_2)...(x-c_n)

Where, a is a constant and c_1,c_2,...,c_n are the roots of the polynomial.

Polynomial roots are 1 and 2. So, (x-1) and (x-2) are the factors of the polynomial.

Let the third root of the polynomial by c, then (x-c) is a factor of the polynomial.

The leading coefficient of a polynomial is 8. So, a=8 and the equation of the polynomial is:

y=8(x-1)(x-2)(x-c)

The graph passes through the point (4,5). Putting x=4,y=5, we get

5=8(4-1)(4-2)(4-c)

5=8(3)(2)(4-c)

5=48(4-c)

Divide both sides by 48.

\dfrac{5}{48}=4-c

c=4-\dfrac{5}{48}

c=\dfrac{192-5}{48}

c=\dfrac{187}{48}

Therefore, the 3rd root on the polynomial is \dfrac{187}{48}.

8 0
2 years ago
Lee spent $36 to purchase a combination of drinks, sandwiches, and chips for himself and his friends. A drink costs $2, a sandwi
valkas [14]

2x+4y+0.50z=36 represents the situation.

Step-by-step explanation:

Let,

Drinks = x

Sandwich = y

And,

Chips = z

Total amount on these items = $36

According to the statement;

x(cost\ of\ one\ drink)+y(cost\ of\ one\ sandwich)+z(cost\ of\ one\ chips)=\ Total\ amount\ spent\\2x+4y+0.50z=36

2x+4y+0.50z=36 represents the situation.

Keywords: Linear equations

Learn more about linear equations at:

  • brainly.com/question/10081622
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#LearnwithBrainly

7 0
3 years ago
Please help solve the inequality.
gulaghasi [49]

Answer:

Are there two you're asking for?

#2: x ≥ 9

#3: x > -2

Step-by-step explanation:

#2 Work:

x - 13 ≥ -4

Step 1: Add 13 to both sides

x - 13 + 13 ≥ -4 + 13

Add -4 and 13 to get 9.

x ≥ 9

#3 Work:

x/2 > -1

Multiply both sides by 2. Since 2 is positive, the inequality direction remains the same

x/2 * 2 > -1 * 2

x > -2

5 0
2 years ago
Help its geometry...............
Digiron [165]

m GH = 57''

________


tan 39° = opposite / adjacent

tan 39° = m GH / m HJ

tan 39° *  m HJ = m GH

m HJ = m GH / tan 39°

m HJ ≈ 57'' / 0.810

m HJ ≈ 70.4''    <——<span>—    measure of the segment HJ</span>

________


sin 39° = opposite / hypotenuse

sin 39° = m GH / m GJ

sin 39° * m GJ = m GH

m GJ = m GH / sin 39°

m GJ = 57'' / 0.629

m GJ ≈ 90.6''    <———    measure of the segment GJ

________


So the perimeter is

p  =  m GH  +  m HJ  +  m GJ

p  =  57''  +  70.4''  +  90.6''

p  =  218''    <——<span>—    this is the answer.</span>


I hope this helps. =)


Tags:  <em>perimeter right triangle sine cosine tangent sin cos tan trig trigonometry geometry</em>

7 0
3 years ago
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