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2 years ago

8

A ladder is resting against a wall. The ladder and the ground make an angle of 45° and the ladder is 7 ft from the wall. How lon

g is the ladder?

1 answer:

vichka [17]2 years ago

6 0

The ladder is 10 ft long (9.899 ft to be more precise).

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What are the coordinates of point B on \overline{AC} such that AB = 1/2 BC

marta [7]

Answer:

C. $B(x,y) = \left(3,-\frac{16}{3} \right)$

Step-by-step explanation:

Let $A(x,y) = (6,-7)$ , $B(x,y) = (x,y)$ and $C(x,y) = (-3,-2)$ . From statement we know that $AB = \frac{1}{2}\cdot BC$ , which is equivalent to the following linear algebraic formula:

$B(x,y) -A(x,y) = \frac{1}{2}\cdot [C(x,y)-B(x,y)]$ (1)

$B(x,y)-A(x,y) = \frac{1}{2}\cdot C(x,y)-\frac{1}{2}\cdot B(x,y)$

$\frac{3}{2}\cdot B(x,y) = \frac{1}{2}\cdot C(x,y)+A(x,y)$

$B(x,y) = \frac{1}{3}\cdot C(x,y) +\frac{2}{3}\cdot A(x,y)$ (2)

Then, the coordinates of point B on AC are:

$B(x,y) = \frac{1}{3}\cdot (-3,-2)+\frac{2}{3}\cdot (6,-7)$

$B(x,y) = \left(-1, -\frac{2}{3}\right)+\left(4, -\frac{14}{3} \right)$

$B(x,y) = \left(3,-\frac{16}{3} \right)$

Which means that correct answer is C.

5 0

2 years ago

Help with this questionnnnnnn

Vadim26 [7]

Answer:

yes this is correct

Step-by-step explanation:

6 0

2 years ago

ad-work [718]

Answer:

4

Step-by-step explanation:

2+2 is 4

5 0

3 years ago

Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled 3/4 for the flowers to l

Nimfa-mama [501]

Answer: 376.98192 mL

Step-by-step explanation:

We are going to use this equation.

V = π * r² * h

according to the question we have the value for r and h, if you replace the values into the equation we will get following product:

note: also keep in mind that value of π is 3.141516

V = π * r² * h

V = π * (4in)² * (10in)

V = 502.64256 in³

after we can divide this value in 4 equals parts

then we get the following equation:

502.64256 in³ / 4 = 125.66064 in³

after that that you can multiply this value by 3 to get the 3 parts of the cylinder vase for example:

125.66064 in³ * 3 = 376.98192 in³

and this result is the volume of water that we have to pour into the vase

8 0

3 years ago

15x5x3 find the volume with lxwxh

anygoal [31]

Answer:

225 units^3

Step-by-step explanation:

15x5x3 = 225

hope this helps, pls mark brainliest :D

6 0

2 years ago

Read 2 more answers