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3 years ago

If f(x)= x^2+x and h(x)=5x-2 find f(f(2))

Mathematics

1 answer:

alexandr1967 [171]3 years ago

7 0

<h3>Answer: 2f^2 </h3>

Step-by-step explanation:

Remove the parentheses: = ff x 2

Apply exponent rule: f^1+^1x2

Add the numbers 1+1=2 = 2f^2

I hope this is right.

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Which of the following is the best description of the graph below?

Alinara [238K]

full question

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2 years ago

Read 2 more answers

Solve for x. Round to the nearest hundredth.

Airida [17]

Answer: $32.98^{\circ}$

Step-by-step explanation:

Since, By the given diagram,

In quadrilateral ABCD, all angles are right angles ⇒ DC = AB = 15 cm and CB = DA

Also, In triangle DFA,

$sin 56^{\circ} = \frac{DA}{DF}$

⇒ $sin 56^{\circ} = \frac{DA}{16}$

⇒ $16\times sin 56^{\circ}=DA$

⇒ $13.2646011609\text{ cm} = DA$

Now, In triangle, DEC,

$tan x = \frac{EC}{DC}$

⇒ $tan x = \frac{EB-CB}{DC}$

⇒ $tan x = \frac{EB-DA}{DC}$

⇒ $tan x = \frac{23-13.2646011609}{15}$

⇒ $tanx = \frac{9.73539883912}{15}$

⇒ $tanx = 0.64902658927$

⇒ $x = 32.9846428556^{\circ} \approx 32.98^{\circ}$

3 0

3 years ago

What is the area of this polygon? Enter your answer in the box. units?

Svetradugi [14.3K]

Answer:

45units^2

Step-by-step explanation:

Break the polygon into two shapes. A rectangle and a triangle.

The area formula for a rectangle is A=L•W or

Area = Length x Width. Counting the units for length and width is 9 x 2. Which would equal 18units.

Now for the triangle, the formula is A=1/2 (b•h)

The base is 9 and Height is 6.

9 • 6 = 54

Since a triangle is half the area of a rectangle you divide 54 by 2. Area for triangle is 27.

Now add the rectangle area and triangle area.

18+27=45

Area=45 units ^2

6 0

1 year ago

a cylinder has a height of 12 feet and a radius of 14 feet. what is its volume? use ≈ 3.14 and round to the nearest hundredth

Komok [63]

Answer:

V = 7385.28

Step-by-step explanation:

Formula of the volume of a cylinder: V = pi*r^2*h

Since you are told to replace pi with 3.14, now plug in the numbers that you are given into the formula...

V = (3.14)(14)^2*(12)

= 7385.28

Notes: Remember you always have to divide your radius in half if it gives you a diameter, BUT since in this question it's given, you don't have to do any extra work :)

7 0

2 years ago

!!Please Help!! Find the value of z to the nearest tenth.

serg [7]

Answer:

x = 14 $\sqrt{2}$

y = 14

z= 14 $\sqrt{3}$

Step-by-step explanation:

Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.

Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that x will be the same as its respective leg, 14 $\sqrt{2}$

Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.

Since y is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, y is 14. z is then 14 $\sqrt{3}$ using either Pythagorean Theorem or special right triangle properties for 30-60-90.

7 0

2 years ago