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3 years ago

A fireman leaned a 36 foot ladder against a building. If he placed the ladder 7 feet from the base

Mathematics

2 answers:

Vedmedyk [2.9K]3 years ago

7 0

Answer:51.05

Step-by-step explanation:

Goryan [66]3 years ago

7 0

<u>Answer:</u>

The angle between the ladder and the ground is $78.78\°$

<u>Solution:</u>

It is given that the length of the ladder is 36 foot and the distance between the base and the ladder is 7 feet.

Here we can see that the hypotenuse is 36 foot and the base is 7 feet. To find the angle between the ladder and the ground we take the cos inverse of $\frac{7}{36}$ .

Let the angle between the ladder and the ground is ‘x’.

We know, $cos x = \frac{base}{hypotenuse}$

$\Rightarrow cosx = \frac{7}{36}$

$\Rightarrow x = cos^{(-1)} \frac{7}{36}$

$\Rightarrow x=78.78\°$

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Best answer gets brainiest. Mackenzie went to the mall with her mom. First, they spent 15 minutes in the shoe store. Then they s

Naddika [18.5K]

Answer:

They started at 4:45 pm

Step-by-step explanation:

Time spend at the mall:

15 minutes in the shoe store

1 hour shopping for a dress

30 minutes eating

Total 1 hour 45 minutes

x + 1 hour 45 minutes = 6:30

Subtract 1 hours

5 : 30 pm

Subtract 45 minutes

4 :45 pm

They started at 4:45 pm

8 0

3 years ago

Please help! Thanks in advance.

alukav5142 [94]

In this problem, we need to plug in the given x values for $f(x)=0$ and find a and b.

When we plug in 1, we get: $2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0$

Simplify:
$2 - 5 - 14 + a + b = 0$
$- 17 + a + b = 0$
$a + b = 17$

We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:
$2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0$
$512 - 320 - 224 + 4a + b = 0$
$- 32 + 4a + b = 0$
$4a + b = 32$

Now we have our second one. We can combine them:
$a + b = 17 \\ 4a + b = 32$

I use elimination method which is easier here.

Multiply the top equation by -1: $- a - b = - 17 \\ 4a + b = 32$

Add them up:
$3a = 15$

Simplify:
$a = 5$

Now we have a, we can plug in one of those equations to find b:
$5 + b = 17$
$b = 17 - 5$
$b = 12$

So, the answers are $a=5$ and $b=12$ .