PLZ HELP ASAP LAST ONE ANGLE BISECTOR THEOREM

Mathematics

1 answer:

In-s [12.5K]3 years ago

6 0

We have from the angle bisector theorem that the sides AC and CD are proportional to AB and BD. Hence, we get the following equality that holds in general when the angles BAD and CAD are equal.
$\frac{CD}{AC} = \frac{BD}{AB}$
Substituting:

$\frac{2}{5.9} = \frac{2.8}{x} \\ x= \frac{5.9*2.8}{2}=8.26=8.3$

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Solve for x 5 (x+2)=8x+20

inessss [21]

Distribute the 5 outside the parentheses into the parentheses.
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4 0

3 years ago

Read 2 more answers

PLS HELP

Anna71 [15]

9514 1404 393

Answer:

42,412 ft³ each tank

84,823 ft³ both tanks added together

Step-by-step explanation:

"Congruent in size" means both tanks have the same dimensions. Each has a radius of 15 ft and a length of 120 ft. Each has half the volume of a cylinder with those dimensions.

The formula for the volume of a cylinder is ...

V = πr²h

where r is the cylinder radius, and h is the length of its axis.

We want the volume of half a cylinder with r=15 and h=120 (dimensions in ft). We can compute that using ...

V = 1/2π(15 ft)²(120 ft) = π(225 ft²)(60 ft)= 13500π ft³

If we want the volume to the nearest cubic foot, we need a value of pi that is at least 7 significant digits (3.14 isn't appropriate). Then the volume is about ...

(13,500)(3.141593) ft³ ≈ 42,411.5 ft³ ≈ 42,412 ft³

Both tanks have a volume of 42,412 ft³ each.

_____

Additional comment

The question, "What is the volume of both tanks?" is ambiguous. We're not sure if the combined volume is intended, or if the volume of each of the two tanks is intended. Both numbers are provided, so you can sort it out as you see fit.