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zvonat [6]
3 years ago
5

How can you get the variable alone in the equation 25? 5 a

Mathematics
2 answers:
WARRIOR [948]3 years ago
5 0

Answer:

5

Step-by-step explanation:

5x5=25

or

5xa=25

a=5

vampirchik [111]3 years ago
5 0

Answer:

a=5

Step-by-step explanation:

The basic technique to isolate a variable is to “do something to both sides” of the equation, such as add, subtract, multiply, or divide both sides of the equation by the same number.

\frac{5a}{5} =\frac{25}{5}

a=5

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Estimate 63,266 -42,657 by first rounding each number to the nearest thousand.
zmey [24]

Answer:

106,000

Step-by-step explanation:

3 0
3 years ago
PLEASE HELP!!
PSYCHO15rus [73]

<u><em>Answer:</em></u>

The bird is approximately 9 ft high up in the tree

<u><em>Explanation:</em></u>

The required diagram is shown in the attached image

Note that the tree, the cat and the ground form a right-angled triangle

<u>Therefore, we can apply special trigonometric functions</u>

<u>These functions are as follows:</u>

sin(\alpha)=\frac{opposite}{hypotenuse} \\ \\ cos(\alpha)=\frac{adjacent}{hypotenuse} \\ \\tan(\alpha)=\frac{opposite}{adjacent}

<u>Now, taking a look at our diagram, we can note the following:</u>

α = 25°

The opposite side is the required height (x)

The adjacent side is the distance between the cat and the tree = 20 ft

Therefore, we can use the <u>tan function</u>

<u>This is done as follows:</u>

tan(\alpha)=\frac{opposite}{adjacent}\\ \\ tan(25)=\frac{x}{20}\\ \\x=20tan(25) = 9. 32 ft which is 9 ft approximated to the nearest ft

Hope this helps :)

5 0
3 years ago
One of the legs of a right triangle is twice as long as the other, and the perimeter of the triangle is 35. Find the
Aloiza [94]

Answer:

6.68, 13.37, 14.95

Step-by-step explanation:

One of the legs is twice as long as the other.

b = 2a

The perimeter is 35.

35 = a + b + c

The triangle is a right triangle.

c² = a² + b²

Three equations, three variables.  Start by plugging the first equation into the second and solving for c.

35 = a + 2a + c

c = 35 − 3a

Now plug this and the first equation into the Pythagorean theorem:

(35 − 3a)² = a² + (2a)²

1225 − 210a + 9a² = a² + 4a²

1225 − 210a + 4a² = 0

Solve with quadratic formula:

a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)

a = (210 ± √24500) / 8

a ≈ 6.68 or 45.82

Since the perimeter is 35, a = 6.68.  Therefore, the other sides are:

b ≈ 13.37

c ≈ 14.95

8 0
3 years ago
Does the construction demonstrate how to bisect a segment correctly by hand?
Aleonysh [2.5K]

Answer:

Yes; the compass was kept at the same width to create the arcs for points C and D.

Step-by-step explanation:

When bisecting a segment by hand the steps are:

-Place the compass on one of the endpoints and open the compass to a distance more than halfway across the segment.

-Swing an arc on either side of the segment.

-Keeping the compass at the same width, place the compass on the other endpoint and swing arcs on either side so that they intersect the first two arcs created.

-Mark the intersection points of the arcs and draw a line through those two points.

-The point where this new line crosses the given segment is the midpoint and divides the segment in half.

Its not b because segment c and d was created when you marked the intersection points of the arcs and just drew a line through those two points; They didn't use a straightedge. its not C because this does demonstrate how to bisect a segment by hand, Also the compass was kept at the same width to create the arcs for points C and D. Its not D because this does demonstrate how to bisect a segment by hand, Also a straightedge was not used to create segment CD.

6 0
3 years ago
Read 2 more answers
Combine the like terms 7+19t-6t a)7-13t b)20 c)20t d)7+13t
ohaa [14]

Answer:

The answers would be as follows:

1. d

2. a

3. a

Step-by-step explanation:

To find the combined terms, focus only on the terms that have the same variable value. See the examples below.

1.

7 + 19t - 6t

7 + (19t - 6t)

7 + 13t

2.

5/6x - 2/3x

(5/6x - 2/3x)

1/6x

3.

8 + 16r - 9r

8 + (16r - 9r)

8 + 7r

7 0
3 years ago
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