$(7 - x)(4 - x) \\ 28 - 7x - 4x + x {}^{2} \\ x {}^{2} - 11x + 28 = 0 \\ x {}^{2} - 7x - 4x + 28 = 0 \\ x (x - 7) - 4(x - 7 )= 0 \\ (x - 4)(x - 7) = 0 \\$

the value of x is 7 or 4

4 0

2 years ago

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A swimming pool is a shape of a right rectangular prism if the pool is 12 3/4 yards long 5 2/3 yards wide and 9 yards deep what

Artemon [7]

Answer:

$V=650.25\ yards^3$

Step-by-step explanation:

Given that,

Length = $12\dfrac{3}{4}\ yards$

Width = $5\dfrac{2}{3}\ yards$

Depth = 9 yards

We need to find the volume of the swimming pool. The formula for the volume of a cuboid shape is given by :

$V=lbh\\\\V=12\dfrac{3}{4}\times 5\dfrac{2}{3}\times 9\\\\=\dfrac{51}{4}\times \dfrac{17}{3}\times 9\\\\V=650.25\ yards^3$

So, the volume of the swimming pool is equal to $650.25\ yards^3$ .

7 0

2 years ago

FInding the length of EB

larisa86 [58]

Answer:

EB=3.3

Step-by-step explanation:

From the diagram, triangle ABC is similar to triangle DBE.

This means that, the corresponding sides are proportional.

It was given that AC=6, DE=4, CB=5.

We want to find EB=x

Since the ratio of corresponding sides are proportional, we have:

$\frac{EB}{CB} =\frac{ED}{AC}$

We substitute to obtain:

$\frac{x}{5} =\frac{4}{6}$

Multiply both sides by 5 to get:

$x=\frac{4}{6}\times 5=\frac{20}{6}=\frac{10}{3}=3.3$

4 0

2 years ago

Change the following numbers to decimals and round to the nearest hundredth <br> 5/9

love history [14]

Answer:

Answer: 5/9 as a decimal is 0.556.

6 0

1 year ago

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