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3 years ago

a 5m long ladder is placed against a wall with its foot 1.8m from the wall.find how far up the wall the ladder reaches?

1 answer:

galina1969 [7]3 years ago

4 0

Since you have the hypotenuse (5) and the adjacent side (1.8) all you have to do is find out what squared times 1.8 squared equals 5 squared. the formula for this is a^2 + b^2 = c^2

Now to figure this out you can do 5^2 which equals 25.
Then you do 1.8^2 which equals 3.24. then you subtract the two and get 21.76.
if you find the square root of 21.76 you will get 4.6647.
4.6647 is the distance of how far up the wall the ladder reaches.

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Please help me and I will make you the brainiest

wlad13 [49]

Answer:

y=a-4 divided 3-a and a cut so remember 4divided3 so, y= 1.33

Step-by-step explanation:

7 0

3 years ago

A number is divided by 18 the result is 20 what is the number

Basile [38]

Answer:

360

Step-by-step explanation:

You can solve this by doing 18 times 20 is 360: and then dividing 360 by 18, results in 20.

3 0

3 years ago

Read 2 more answers

A car completes a journey at an average speed of 40km/h.At what speed must it travel on the return journey if the average speed

nalin [4]

The distance, s = 40t₁ where t₁ is the time to complete the outward journey.
The same distance = vt₂ where t₂ is the time to complete the return journey at speed v.
For the whole journey, 2s=60(t₁+t₂). Therefore s=30(t₁+t₂)=40t₁=vt₂.
30t₁+30t₂=40t₁, 10t₁=30t₂, t₁=3t₂, so s=120t₂=vt₂ and v=120kph.

5 0

3 years ago

As part of his retirement strategy, John plans to invest $210,000 in two different funds. He projects that the moderately high r

Maslowich

Answer:

Therefore he invested $60,000 at 9% per year and $(210,000-60,000)=$150,000 at 4% per year.

Step-by-step explanation:

Given John plans to invest $210,000 in two different funds. He projects that the moderately high risk investments should return, overtime 9% per year,while low risk investments should return about 4% per year.

He wants a supplemental income of$11,400 a year.

Let , he invested $x at 9% per year and $(210,000-x) at 4% per year.

$interest=\frac{prt}{100}$ p = principle , r = rate of interest and t = time

The interest earns at 9% per year= $\frac{x\times 9\times 1}{100}$

The interest earns at 4% per year= $\frac{(210,00-x)\times 4 \times 1}{100}$

According to the problem,

$\frac{x\times 9\times 1}{100}+\frac{(210,00-x)\times 4 \times 1}{100}= 11400$

$\Leftrightarrow 9x+840000-4x=11400 \times 100$

$\Leftrightarrow 5x=1140000-840000$

$\Leftrightarrow x=\frac{300000}{5}$

$\Leftrightarrow x=60,000$

Therefore he invested $60,000 at 9% per year and $(210,000-60,000)=$150,000 at 4% per year.

7 0

3 years ago

At Clucker's Chicken, a bucket of 4 pieces of dark meat and 5 pieces of white meat costs 7.05. A bucket of 3 pieces of dark meat

Alenkinab [10]

Answer:

The cost of a piece of dark meat is $0.70 and the cost of a piece of white meat is $0.85.

Step-by-step explanation:

Given:

At Clucker's Chicken, a bucket of 4 pieces of dark meat and 5 pieces of white meat costs 7.05.

A bucket of 3 pieces of dark meat and 8 pieces of white meat costs 8.90.

Now, to find the cost of a piece of dark meat and the cost of a piece of white meat.

Let the cost of a piece of dark meat be $x.$

And the cost of a piece of white meat be $y.$

A bucket of 4 pieces of dark meat and 5 pieces of white meat costs $7.05.

So,

$4x+5y=7.05$

$4x=7.05-5y$

$x=\frac{7.05-5y}{4}$ .......(1)

Now, a bucket of 3 pieces of dark meat and 8 pieces of white meat costs $8.90.

$3x+8y=8.90$

Substituting the value of $x$ from equation (1) we get:

$3(\frac{7.05-5y}{4})+8y=8.90$

$\frac{21.15-15y}{4} +8y=8.90$

$\frac{21.15-15y+32y}{4} =8.90$

Multiplying both sides by 4 we get:

$21.15-15y+32y=35.60$

$21.15+17y=35.60$

Subtracting both sides by 21.15 we get:

$17y=14.45$

Dividing both sides by 17 we get:

$y=0.85$

The cost of a piece of white meat = $0.85.

Now, substituting the value of $y$ in equation (1) we get:

$x=\frac{7.05-5y}{4}$

$x=\frac{7.05-5\times 0.85}{4}$

$x=\frac{7.05-4.25}{4}$

$x=\frac{2.8}{4}$

$x=0.70.$

The cost of a piece of dark meat = $0.70.

Therefore, the cost of a piece of dark meat is $0.70 and the cost of a piece of white meat is $0.85.

5 0

3 years ago