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yanalaym [24]
3 years ago
10

Solve for x. Round to the nearest hundredth

Mathematics
1 answer:
PIT_PIT [208]3 years ago
3 0

Given that the length of one leg is 6 and the angle is 40°

The hypotenuse is x.

We need to determine the value of x.

<u>Value of x:</u>

The value of x can be determined using the trigonometric ratio.

Thus, we have;

cos \ \theta=\frac{adj}{hyp}

Substituting the values, we get;

cos \ 45^{\circ}=\frac{6}{x}

Simplifying, we have;

x=\frac{6}{cos \ 45^{\circ}}

x=\frac{6}{0.766}

Dividing, we get;

x\approx7.83

Therefore, the value of x is 7.83(app.)

Hence, Option A is the correct answer.

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PLZ HELP ME!! IF YOUR A GENUIS
polet [3.4K]

Since "p" represents the number of pounds of peanuts and:  

4.05p + 14.40 = 4.50(p + 3) [then by distributing we have:

4.05p + 14.40 = 4.50p + 13.5 [then by subtracting 13.5 from both sides we have:

4.05p + 0.9 = 4.50p [then by subtracting 4.05p from both sides we have:

0.9 = 0.45p [then by dividing both sides by 0.45 we have:

2 = p

So there are 2 pounds of peanuts needed for the trail mix.

6 0
2 years ago
Please help me! Do any one of them, as long as the answer is correct!
quester [9]

Answer:

1.) 1-b, 2-a, 3-d, 4-c

Step-by-step explanation:

You recognize that the point-slope form of the equation for a line with slope m and point (h, k) is ...

... y - k = m(x - h)

____

Match this form to the given equations to determine (h, k). Once you determine (h, k) from the equation, find that point in the list of points to get your match-up. (All the slopes are correct, so you don't need to do any more work than just described.)

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For problems 3.) and 4.), use the above form with the given point and slope.

6 0
3 years ago
Methods of solving distance between two points
e-lub [12.9K]

The distance formula is an algebraic expression used to determine the distance between two points with the coordinates (x1, y1) and (x2, y2).

<span><span>D=<span><span>(<span>x2</span>−<span>x1</span><span>)2</span>+(<span>y2</span>−<span>y1</span><span>)2</span></span><span>−−−−−−−−−−−−−−−−−−</span>√</span></span><span>D=<span>(<span>x2</span>−<span>x1</span><span>)2</span>+(<span>y2</span>−<span>y1</span><span>)2</span></span></span></span>

Example

Find the distance between (-1, 1) and (3, 4).

This problem is solved simply by plugging our x- and y-values into the distance formula:

<span><span>D=<span><span>(3−(−1)<span>)2</span>+(4−1<span>)2</span></span><span>−−−−−−−−−−−−−−−−−−</span>√</span>=</span><span>D=<span>(3−(−1)<span>)2</span>+(4−1<span>)2</span></span>=</span></span>

<span><span>=<span><span>16+9</span><span>−−−−−</span>√</span>=<span>25<span>−−</span>√</span>=5</span><span>=<span>16+9</span>=25=5</span></span>

Sometimes you need to find the point that is exactly between two other points. This middle point is called the "midpoint". By definition, a midpoint of a line segment is the point on that line segment that divides the segment in two congruent segments.

If the end points of a line segment is (x1, y1) and (x2, y2) then the midpoint of the line segment has the coordinates:

<span><span>(<span><span><span>x1</span>+<span>x2</span></span>2</span>,<span><span><span>y1</span>+<span>y2</span></span>2</span>)</span><span><span>(<span><span><span>x1</span>+<span>x2</span></span>2</span>,<span><span><span>y1</span>+<span>y2</span></span>2</span>)</span><span>
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3 0
3 years ago
Please help me A.S.A.P.
Vikentia [17]

Answer:

700 Dollars

Step-by-step explanation:

The expression for solving this is I = prt

So lets start with P, that is our principal or amount of money we start with, and we want to multiply it by our rate, or r , which is 3.5, so we would do 5000 x 0.035 to get 175, then we multiply that by our time or t, which is 4 years, so 175 x 4 = 700 dollars :D

5 0
2 years ago
Read 2 more answers
Describe the transformation that takes f(x)=x+1 to g(x) = -x+4. Will Mark Brainliest.​
lions [1.4K]

Answer:

Reflection across y axis

Translate up by 3 units

Step-by-step explanation:

Given

f(x) = x + 1

g(x) = -x + 4

Required

Describe the transformation from f(x) to g(x)

First, take a reflection of f(x) across the y axis.

So f(x) becomes f(-x)

f(x) = x + 1 when reflected

f(-x) = -x +1

Next, translate f(-x) up by 3 units to give g(x)

g(x) = f(-x) + k

Where

k = 3

f(-x) = -x +1

g(x) = -x + 1 + 3

g(x) = -x + 4

Hence, the transformation from f(x) to g(x) includes:

Reflection across y axis

Translate up by 3 units

6 0
3 years ago
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