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zvonat [6]
3 years ago
7

Please help me!! algebra 1!!

Mathematics
1 answer:
Aleks04 [339]3 years ago
3 0

Answer:

Step-by-step explanation:

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Help me with question 3.<br><br> (It will be 33 points)
adoni [48]

Answer:

PartA

P = 4a

Part B

60 = P fence + 2a

60 = 6a

Part C

40

Step-by-step explanation:

We are building a fence so we are finding perimeter.

Adding the 3 sides

P = a+b+a

P = 2a+b

It is twice as long as it is wide

b= 2a

Replace in the equation for perimeter

P = 2a+(2a)

P = 4a

Part B

We know the perimeter is 60 for the entire backyard

The perimeter of the backyard is  the fence plus the longer side

60 = P fence + b

Replacing b

60 = P fence + 2a

We know the equation for the perimeter of the fence is

60 = 4a + 2a

Combing like terms

60 = 6a

Part C

Solve for a and b

60 = 6a

Divide each side by 6

60/6 = 6a/6

10 =a

P fence = 4a

P = 4(10) = 40

5 0
3 years ago
When completely factored, 3x2−48 equals -
Svetlanka [38]

Answer:

Step-by-step explanation:

If you are asking what 3x2-48 is, then the rules of Pemdas would be relevant in this.

First we would multiply. So, 3 times 2 is 6.

Then, 6-48 is -42

5 0
3 years ago
Write an equation in which the quadratic expression 3x^2+6x-24 equals 0. Show the expression in factored form and explain what y
mr_godi [17]

Answer:

3x² + 6x - 24 = 0

(3x - 6)(x + 4) = 0

x = -4 , x = 2 when y = 0

Step-by-step explanation:

3x² + 6x - 24 = 0

(3x - 6)(x + 4) = 0

Means

3x - 6 = 0 ⇒ 3x = 6 ⇒ x = 6 ÷ 3 = 2

x + 4 = 0 ⇒ x = -4

The Parabola which represents the quadratic equation intersects x-axis at

points (2 , 0) and (-4 , 0)

5 0
3 years ago
PLEASE HELP MY HOMEWORK IS DUE 10 MIN!!!!!!!!!!!!!!!!! Now think about changing the triangle. What happens to angle Z if the unk
kompoz [17]

Answer:

Angle Z wil change because the side length is getting longer and tbe triangle would no longer fit the conditions

4 0
3 years ago
Find the exact values of the remaining five trigonometric functions of theta, suppose theta is an angle in the standard position
nexus9112 [7]

Answer:

\sin(\theta)=60/61\text{ and } \csc(\theta)=61/60\\\cos(\theta)=11/61\text{ and } \sec(\theta)=61/11\\\tan(\theta)=60/11\text{ and } \cot(\theta)=11/60

Step-by-step explanation:

So, we know that:

\tan(\theta)=60/11\text{ and } 90\textdegree

Since θ is in QI, this means that <em>all</em> of our trig ratios will be positive. Recall All Students Take Calculus. Since it's QI, we refer to A in All. The A tells us that all the ratios will be positive.

Now, let's figure out the remaining ratios knowing that all of them is positive. First, let's find the hypotenuse. Recall that tangent is the ratio of the <em>opposite side to the adjacent side</em>. So, we can use the Pythagorean Theorem to find the hypotenuse. So:

a^2+b^2=c^2

Substitute 60 for a and 11 for b:

60^2+11^2=c^2

Solve for c. Square both numbers:

3600+121=c^2

Add:

c^2=3721

Take the square root of both sides:

c=61

Therefore, the hypotenuse is 61.

So, our side lengths are: Opposite=60; Adjacent=11; and Hypotenuse=61.

Now that we know the lengths, we can find the other trig ratios:

Sine and Cosecant:

\sin(\theta)=opp/hyp

Substitute 60 for Opp and 61 for Hyp:

\sin(\theta)=60/61

Cosecant is the reciprocal of sine. So:

\csc(\theta)=61/60

Cosine and Secant:

\cos(\theta)=adj/hyp

Substitute 11 for Adj and 61 for Hyp:

\cos(\theta)=11/61

Secant is the reciprocal of cosine. So:

\sec(\theta)=61/11

Tangent and Cotangent:

We are already given that tangent is:

\tan(\theta)=60/11

Cotangent is the reciprocal of tangent. So:

\cot(\theta)=11/60

4 0
4 years ago
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