The value for the area A of the figure is given. Write and solve a compound inequality for the value of x in the figure.

Mathematics

1 answer:

alekssr [168]3 years ago

3 0

Answer:

3x/2

Step-by-step explanation:

the formula for a triangle is l * w / 2 so we just replace the variables with the numbers for our situation to get 3x/2

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What notation is used to represent the distance from point A to B

borishaifa [10]

Answer:

Absolute Value

Step-by-step explanation:

Absolute Value is very useful in finding the distance between two points on the number line. The distance between any two points a and b in the number line is

|a-b| or |b-a|.

7 0

2 years ago

At 6:00 PM, a flagpole that is 35 feet tall casts a shadow that is 50 feet long. At the same time, how long will a person's shad

sertanlavr [38]

<u>Answer:</u>

The length of the person’s shadow is 5.7ft

<u>Explanation:</u>

Length of the flagpole =a= 35ft

Length of the shadow of the flagpole= b=50ft

Length of the person=c= 4ft

Suppose the length of the person’s shadow is=d

According to the rules of trigonometry

$\frac{\text { Length of the flagpole }}{\text { Length of the shadow of the flagpole }}=\frac{\text { Length of the person }}{\text { Length of the person's shadow }}$

$\frac{a}{b}=\frac{c}{d}$

$\frac{35}{50}=\frac{4}{d}$

35d=200

d= $\frac{200}{35}$

d=5.7ft

Hence, The length of the person’s shadow is 5.7ft.

3 0

3 years ago

Solve -3x2 + 30x - 90 = 0.

FrozenT [24]

$-3x^{2}+30x-90=0 \\ \\ x^{2}-10x+30=0 \\ \\ \Delta=(-10)^{2}-4*1*30=100-20=-20 \\ \\ \sqrt{\Delta}= \sqrt{-20}=i \sqrt{20} =2i \sqrt{5} \\ \\ x_{1}= \frac{10-2i \sqrt{5} }{2} = 5-i \sqrt{5} \\ \\ x_{2}= \frac{10+2i \sqrt{5} }{2} = 5+i \sqrt{5}$