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4 years ago

NEED HELP ASAP PLEASE!!!!!

Mathematics

1 answer:

dlinn [17]4 years ago

5 0

The answer is 10

40/(24-4*(2+3))
40/(24-4*5)
40/(24-20)
40/4
10

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What is the factored form of 2/3x + 4

I am Lyosha [343]

Answer: <em>(x+1)(x−4). </em>

Explanation: <em>x2−3x−4 x2−4x+x−4 x(x−4)+1(x−4) (x+1)(x−4). </em>

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3 years ago

The distance from the origin to the point(-15,20)

Anastasy [175]

Answer:

25 units.

Step-by-step explanation:

The origin is (0,0)

There using distance formula.

$\sqrt{(y2 - y1) { }^{2} + (x2 - x1) {}^{2} }$

$\sqrt{0 - ( - 15) {}^{2} + (0 - 20) {}^{2} }$

$\sqrt{15 {}^{2} + 20 {}^{2} }$

$\sqrt{625}$

Answer is 25 units.

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3 years ago

A 9.85 m ladder is placed against a wall. The height to the top of the ladder is 5 m more than the distance between the wall and

Dafna1 [17]

Given:

Length of the ladder = 9.85 m

The height to the top of the ladder is 5 m more than the distance between the wall and the foot of the ladder.

To find:

The height to the top and the distance between the wall and the foot of the ladder.

Solution:

let x be the distance between the wall and the foot of the ladder. Then the height to the top of the ladder is (x+5).

Pythagoras theorem: In a right angle triangle,

$Hypotenuse^2=Base^2+Perpendicular^2$

In the given situation, hypotenuse is the length of ladder, i.e., 9.85 m. The base is x m and the height is (x+5) m.

Using the Pythagoras theorem, we get

$(9.85)^2=x^2+(x+5)^2$

$97.0225=x^2+x^2+10x+25$

$0=2x^2+10x+25-97.0225$

$0=2x^2+10x-72.0225$

Here, $a=2, b=10,c=-72.0225$ . Using the quadratic formula, we get

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-10\pm \sqrt{(10)^2-4(2)(-72.0225)}}{2(2)}$

$x=\dfrac{-10\pm \sqrt{676.18}}{4}$

Approximating the value, we get

$x=\dfrac{-10\pm 26}{4}$

$x=\dfrac{-10+26}{4},\dfrac{-10-26}{4}$

$x=\dfrac{16}{4},\dfrac{-36}{4}$

$x=4,-9$

Distance cannot be negative so $x\neq -9.$

Now we have $x=4$

$x+5=4+5$

$x+5=9$

Therefore, the base is 4 m and the height is 9 m.

5 0

3 years ago

How many triangles can be drawn with one 90o angle, a 70° angle, and an included side measuring 3 inches? Explain. Select the

azamat

Answer:

Step-by-step explanation:

This is because any of the sides can be the one measuring 3 inches. Since it is a triangle, the sum of angles is 180. Let the third angle be x.

So, x + 90° + 70° = 180°

x + 160° = 180°

x = 180° - 160°

x = 20°

So, the third angle is 20°.

If the included side is a side other than the hypotenuse side, we can find it by applying the sine rule.

The included side can be either side other than the hypotenuse.

Also, either of the third angle in each triangle can be 20°

So, we have two sides and two triangles.

If the included side is the hypotenuse side, we use Pythagoras' theorem to find the length of the other two sides (and they must be equal)since the angle between the two sides is a right-angle, that is, 90°.

Since the other two angles are not equal, we cannot have a triangle with two equal sides and an hypotenuse. That is, we cannot have an isosceles triangle. So, no third triangle.

So, the total number of triangles that can be drawn with one 90° angle, a 70° angle and an included side measuring 3 inches is 2.

6 0

3 years ago

What is one of the zeros of the

Sphinxa [80]

Answer:

x=-3 and x=1 are 2 zeros shown on the graph

Step-by-step explanation:

7 0

3 years ago