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3 years ago

11/(x+9)=5 I am struggling with this question. Is there a solution?

Mathematics

1 answer:

maks197457 [2]3 years ago

8 0

Answer:

x=-6.8

$\\ step \: by \: step \: explanation \\ \frac{11}{(x + 9)} = 5 \\ 11 = 5(x + 9) \\ 11 = 5x + 45 \\ 5x = 11 - 45 \\ 5x = - 34 \\ x = \frac{ - 34}{5} = - 6.8$

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Type the correct answer in each box. Consider the sum of cubes identity: a3 + b3 = (a + b)(a2 − ab + b2). For the polynomial 8x3

zhuklara [117]

Answer:

a = 2x, b = 3.

Step-by-step explanation:

8x^3+27 = (2x)^3 + 3^3

a = 2x and b = 3.

We can cube root 8x^3 getting 2x and cube root 27 getting 3.

4 0

3 years ago

A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 8 degrees when staring at the top of t

borishaifa [10]

The height of the statue is 19.5 feet.

Why?

We can solve the problem using trigonometric formulas. In this case, we are going to use the trigonometric formula of the tangent.

We know that the person is standing 50ft from the statue, so, it will be the base of the two triangles formed by both angles (elevation and depression)

Using the trignometric formula, we have:

First triangle:

$tg(\alpha )=\frac{h_{1}}{base} \\\\tg(8\°)=\frac{h_{1}}{50ft}\\\\0.14*50ft=h_1\\\\h_1=7ft$

Second triangle:

$tg(\alpha )=\frac{h_{2}}{base} \\\\tg(14\°)=\frac{h_{1}}{50ft}\\\\0.25*50ft=h_1\\\\h_1=12.5ft$

Now, the total height of the statue will be:

$TotalHeight=h_1+h_2=7ft+12.5ft\\\\TotalHeight=19.5ft$

Have a nice day!

8 0

3 years ago

Mike ran 1 mile in 4 minutes. How far did he run in 10seconds?

MrRissso [65]

Answer:

0.015 miles

Step-by-step explanation:

$1mile = 4min \\ 1mile = 240sec \\ 0.609km = 240sec \\ \frac{0.609}{24} = \frac{240}{24} \\ 10sec = 0.025km \\ 10sec = 0.015miles$

3 0

3 years ago

Need help on this question Plzzz

stepladder [879]

Answer:

B. -9, -5, -1

Step-by-step explanation:

<u>Solve the inequality:</u>

- a + 1/3 > 1/4
a < 1/3 - 1/4
a < 4/12 - 3/12
a < 1/12

Correct choice is B

4 0

2 years ago

a closed circular water tank in a subdivision is made up of concreate aluminum. its outer diameter is 8.4 m and its height is 12

m_a_m_a [10]

Answer:

122.7792 sq. m

Step-by-step explanation:

diameter= 8.4 m

therefore, radius = r = 4.2 m.......( as radius is 1/2 of diameter)

height = h= 12 m

only the exterior is to painted so the total surface area of the cylinder is taken,

total surface area of cylinder = 2π r( h+r)

=2* 3.14* 4.2*(12+4.2)

=122.7792 sq. m

5 0

3 years ago