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sergejj [24]
3 years ago
11

A 12-for ladder leaning up against the side of the house. The ladder makes an angle of 62° with the ground. How far up the side

of the house does the ladder reach?

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
4 0
Sine 62 = house / 12

house = 12 * sine 62

house = 12 * 0.88295

<span> <span> <span> ladder goes 10.5954 feet up the house
answer is C

</span> </span></span>
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Find the value of x<br>in the isosceles triangle shown <br><br>​
olga2289 [7]

Given that the isosceles triangle has sides √45, √45 and x.

The triangle has a height of 3 units.

We need to determine the value of x.

<u>Value of x:</u>

The value of x can be determined using the formula,

b=2\sqrt{a^2-h^2}

Where b is the base of the triangle, a is the sides of the isosceles triangle and h is the height of the triangle.

Substituting a=\sqrt{45} , b=x and h=3 in the above formula, we get;

x=2\sqrt{(\sqrt45)^2-(3)^2}

Squaring the terms, we have;

x=2\sqrt{45-9}

Subtracting, we get;

x=2\sqrt{36}

x=2(6)

x=12

Thus, the value of x is 12

Hence, Option B is the correct answer.

8 0
3 years ago
The solution set of 5x + 6-24 is the set of all real values of x
AURORKA [14]
They gave you a set of numbers that you replace the variable x in the equation to see if it gives a correct answer so just do exactly that.

6 + 2x = 24
6 + 2(6) = 24
6 + 12 = 24
18 = 24 so incorrect. both sides are not equal to each other.

6 + 2x = 24
6 + 2(9) = 24
6 + 18 = 24
24 = 24 so correct. both sides are equal to each other.

6 + 2x = 24
6 + 2(15) = 24
6 + 30 = 24
36 = 24 so incorrect. both sides are not equal to each other.

6 + 2x = 24
6 + 2(16) = 24
6 + 32 = 24
38 = 24 so incorrect. both sides are not equal to each other.

so your answer is b) 9
4 0
3 years ago
Which inequality is true if p= 3.4?
BigorU [14]

Answer:

None of the equations are true for p = 3.4

Step-by-step explanation:

In order for the inequality to be valid we need to apply the value for p and check wether or not it is true. We gonna do for each of the following:

A. 3p < 10.2

3*3.4 < 10.2

10.2 < 10.2

Not true, since the left side is equal to the right side and not less.

B. 13.6 < 3.9p

13.6 < 3.9*3.4

13.6 < 13.26

Not true since 13.6 is greater than 13.26

C. 5p > 17.1

5*3.4 > 17.1

17 > 17.1

Not true since 17 is less than 17.1

D. 8.5 > 2.5p

8.5 > 2.5*3.4

8.5 > 8.5

Not true since the left side is equal to the right side.

7 0
4 years ago
A 1200 kg car rolling on a horizontal surface has speed v = 50 km/h when it strikes a horizontal coiled spring and is brought to
tangare [24]
When the car is moving, it has Kinetic Energy. As soon as the car entercount with the spring, its Kinetic Energy will transfer to Elastic Potential Energy. 

<span>KE = EPE </span>
<span>1/2mv^2 = 1/2kx^2 </span>

<span>change the speed into m/s </span>
<span>50 km/hr = 13.9 m/s </span>

<span>1/2(1200)(13.9)^2 = 1/2k(2.2)^2 </span>

<span>now you do the math to solve for k.
k= 115926/2.42
K= 47903.30</span>
8 0
3 years ago
A giraffe is 16 feet tall and casts a
Basile [38]

how many feet does Dustin cast and i can't draw a pic

5 0
3 years ago
Read 2 more answers
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