Let f(x) = 4x2 + x + 1 and g(x) = x2 − 2. Find g(f(x)). Show each step of your work.

Answer: Los catetos medirán 12m y 9m.

Step-by-step explanation:

Bueno, sabemos que los lados de nuestro triangulo son 6m, 8m y 10m.

Podemos usar relaciones trigonométricas para encontrar los ángulos de este triangulo.

Cos(X) = cateto adyacente/hipotenusa

Si tomamos al cateto adyacente como 8m, tenemos:

Cos(X) = 8m/10m

X = Acos(8/10)  

Esto nos dice que para que nuestro otro triangulo rectángulo sea equivalente al primero, entonces los nuevos catetos C1  y C2 tienen que ser tal que los cocientes entre los catetos y la hipotenusa se mantengan constantes:

C1/15m = 8m/10m

C1 = (8/10)*15m = 12m

C2/15m = 6m/10m  

C2 = (6/10)*15m = 9m.

Answer:

Step-by-step explanation:

Surface area is the sum of the areas of the faces of a solid. It is measured in square units. Volume is the amount of space taken up by a solid. It is measured in cubic units. Surface area would be used to find the amount of wrapping paper for a gift, and volume would be used to find how much would fit into a box.

Answer: Surface area is the sum of the areas of the faces of a solid. It is measured in square units. Volume is the amount of space taken up by a solid. It is measured in cubic units. Surface area would be used to find the amount of wrapping paper for a gift, and volume would be used to find how much would fit into a box.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

(6x^2-6)×(6x-1)/(6x-6)

Simplify

U get (x+1)(6x-1)

Answer:

it's SAS. You've probably found out by now sorry :/

Step-by-step explanation:

Answer:

sas

Step-by-step explanation:

Answer:

576π in² and 1,809 in².

Step-by-step explanation:

To find the answer, the formula for the area of a circle, or A = πr², will need to be used.

In this question, we are only given the diameter. Simply divide by 2 to calculate the radius:

48/2 = 24 inches.

Now, plugging this into the equation for the Area of a Circle, gets us:

A = π24²

A = 576π or 1808.64 in².

Looking at the answer choices, we can choose 576π in² and 1,809 in² (as 1808.64 ≈1809)

Answer:

188.5 cm^2

Step-by-step explanation:

a) Your volume is correct.

b) The curved surface area of the cone is called the lateral area.

Its formula is:

LA = (pi)rs,

where pi is 3.14159...

r = radius of the base

s = slant height of the cone

Here, r = 6 cm, and s = 10 cm

LA = (3.14159)(6 cm)(10 cm)

LA = 188.5 cm^2

Answer:

a) 7a/8; b) 5a/8  

Step-by-step explanation:

Given:

AP = 2PQ = 2QB

Calculations:

1. A to the midpoint of QB

        a = AP + PQ + QB

If 2PQ = 2QB.

    PQ = QB and

    AP = 2PQ

∴      a = 2PQ + 2PQ = 4PQ

    PQ = a/4

    AP = 2PQ = a/2

Let M be the midpoint of QB.

AM = AP + PQ + QM

     = a/2 + a/4 + a/8

     = 7a/8

2. Midpoints of AP and QB

Let N be the midpoint of AP

NM = NP + PQ + QM

      = a/4 +a/4 + a/8 =

      = 5a/8

Answer:

congruent & parallel

Step-by-step explanation:

The bases of a circular cylinder are congruent and parallel to each other. If you need more explanation, reply to my answer.

Answer:

(x-4)^2 + (y-3)^2 =8

Step-by-step explanation:

The midpoint of the diameter is (6+2)/2= 4, (5+1)/2 = 3

(4,3)

The radius is the distance from the midpoint to an endpoint

This is 2sqrt(8)

So the equation is

(x-4)^2 + (y-3)^2 =8

Answer:

-1/2

Because, for every one square, the line goes down by 1/2.

Answer:

- 0.5

Step-by-step explanation:

To find the gradient of a line,

divide the value of decrease by the value across.

So, count across from the extreme left toll the extreme right = 13

Where you completed in the extreme right, you have to count down till you reach the other end of the line = 6.5

Now, you divide: 6.5 divided by 13 = 0.5

Since we counted down, it is negative = -0.5

Please mark brainiest

Answer:

4. -2s^9

7. 8b^10

Step-by-step explanation:

First, focus on the number part of the expression. For 4), multiply -2 x -1 x -1 = -2. Then, look at the exponents. When you're multiplying exponents with the same base (in number 4, the base is s), you can add the exponents.

2+3+4 = 9; which makes it s^9. Multiply -2 x s^9, which gives you -2s^9.

Same thing for 7). Multiply all the numbers first. this gives you 8. (Remember two negatives equals a positive). Add all of the exponents of b together, which gives you 10. (when a variable has no exponent, it means that the exponent is 1.) Multiplying 8 and b^10 should give you 8b^10.

It may help to brush up on exponent rules and sign rules.

Answer:

[tex]V=122.5in^3[/tex]

Step-by-step explanation:

The volume of a right circular cone can be found with the formula [tex]V=\pi r^2\frac{h}{3}[/tex] .

So, just plug in the values that are given (by the way, the radius is found by dividing the diameter by 2 since it's half the value of the diameter).

[tex]V=\pi r^2\frac{h}{3}\\V=\pi (3.8)^2(\frac{8.1}{3} )\\V=\pi (14.44)(2.7)\\V=122.484\\V=122.5in^3[/tex]

Answer:

122.5

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

Add each number then divide at the end

Answer: The actual height of the tower is 91m

[tex]\frac{14}{x}=\frac{2}{13} \\x=\frac{14\times13}{2} \\x=91 m[/tex]

The actual height of the tower is 91 m.

An indication of the relationship between the distances on a map and the corresponding actual distances.

Given that, The height of a tower on a scale is 14 centimeters. The scale is 2 cm: 13 m.

Since, 2 cm = 13 m

1 cm = 13 /2 m

Therefore, 14 cm = 14 × 13/2 = 91 m

Hence, the actual height of the tower is 91 m.

Learn more about scales, click;

https://brainly.com/question/841108

#SPJ3

Answer:

Isosceles trapezoid

Step-by-step explanation:

The figure will look like one large triangle on the outside and four smaller triangles on the inside. you are only concerned with the inside triangle that is pointing to the line FH. Since XY and FH are parallel and the distance between FX and YH are equivalent (the midpoints of each side should be the same for all three sides of the larger triangle) the shape FXYH is an isosceles trapezoid.

Answer:

trapezoid

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Circumference is equal to [tex]\pi d[/tex]

[tex]C=\pi d[/tex]

[tex]C=\pi \times 8[/tex]

Answer:

there u go

Step-by-step explanation:

Answer:

x - 3y = 8.

Step-by-step explanation:

Use the point-slope form of the equation of a line:

y - y1 = m(x - x1)  where m = the slope and (x1, y1) is a point on the line.

So substituting the given values:

y - (-2) = 1/3(x - 2)

y + 2 = 1/3x - 2/3     Multiply through by 3:

3y + 6 = x - 2

x - 3y  =  6 + 2

x - 3y = 8  <---- Standard Form.

Answer:

Complete question:

Emily convinced her mom to buy a giant box of her favorite cereal. Her mom doesn't think the box will fit on their shelf. The volume of the box is 10,000 cm^3 cubed. The base of the box is 25cm by 10cm.

How tall is the box of cereal?

Answer: 40cm

Step-by-step explanation:

Given that :

A box is normally in the shape of a cube

formula of volume of a cube;

We want to find the height(tallness)

Volume=LengthxWidthxHeight

Volume = 10,000cm^3

Base of box = 25cm by 10cm,

Base of box = Length × width

Therefore:

Length = 25cm, Width = 10cm

Volume = Lengh × Width × Height

10,000cm^3 = 25cm × 10cm × Height

10,000cm^3 = 250cm^2 × Height

Height = 10,000cm^3 ÷ 250cm^2

Height = 40cm

Answer: 30

Step-by-step explanation:

Hi, to answer this question, first we have to multiply the number of slices of cheese (5) by the area of each slice (125.7)

125.7 (5) = 628.5 in2

Finally we have to divide that result by the area that each handful of cheese covers (21 in2)

628.5 / 21 = 29.92 = 30 handful of cheese

Feel free to ask for more if needed or if you did not understand something.  

Answer:

30

Step-by-step explanation:

Answer:

D. 1,248 cubic units

Step-by-step explanation:

the volume of the rectangular prism = length*width*height = 12*8*13 = 1248 cubic units

Answer: D. 1,248 cubic units

Step-by-step explanation:

The formula for a rectangular prism volume is: V = Length x Width x Height.

In this question it already gives us all of the sides that we need! So all we need to do is just multiply all the sides together to get the volume.

12 x 8 x 13 = 1,248. Therefore D is correct!

Hope this helped you!

In the given diagram ∠AJF or x comes to be 76°.

Opposite Angles are angles directly opposite to each other when two lines intersect in a plane.

We know that ∠JIH+∠JID=180°

107° +∠JID=180°

∠JID=180°-107°

∠JID=73°

∠JDI=31°(given))

In triangle JDI,

∠JDI+∠JID+∠IJD=180°

31° + 73° + ∠IJD =180°

∠IJD =76°

We know that ∠IJD and angle x° are opposite angles.

So, x=76°

Therefore, In the given diagram ∠AJF or x comes to be 76°.

To get more about angles visit:

https://brainly.com/question/25770607

Answer:

none of them it should be ac,cb,ab. From my point of view

Answer: [tex]726 cm^{2}[/tex]

Step-by-step explanation:

surface area(SA)= [tex]6s^{2}[/tex]

= [tex]6*(11)^{2}[/tex]

= [tex]6*121[/tex]

= [tex]726 cm^{2}[/tex]

s= the length of the side of the cube

Answer:

{-12,12}

Step-by-step explanation:

-|-x| = -12 multiply both sides by -1

|-x| = 12 apply rule for solving absolute value equations

-x = 12 and -x = -12 solve

x = -12 and x =12

Answer:

Step-by-step explanation:

I hope it helps

Answer:

please give more clarification

Answer:

Walk: 240

Ride 160

Car 100

Rest 300

Step-by-step explanation:

Walk:

30%

.30 * 800 = 240

Ride

20%

.20 * 800 =160

Car

12.5%

.125 * 800 =100

Rest

100-30-20-12.5 =37.5

.375 * 800 = 300

Answer:

see below

Step-by-step explanation:

Because there is the right angle symbol on the chart these angles are complementary meaning thety have a sum of 90°.

Answer:

20 feet

Step-by-step explanation:

5 descent =>100 feet

1 descent => 100÷5

= 20 descent

Answer:

The sequence has '+3' each time, so the next will be 10

Step-by-step explanation:

it is 10 cuz it goes from -5 adding 3

Answer:

y = x+5

Step-by-step explanation:

First we find the slope

m = (y2-y1)/(x2-x1)

m = (7-3)/(2 - -2)

   =(7-3)/(2+2)

  = 4/4

   = 1

The slope intercept form is

y = mx+b

y = x+b

Substitute a point in

7 = 2+b

Subtract 2 from each side

5 =b

y = x+5

Answer:

y = x + 5

Step-by-step explanation:

m = (y2 - y1) / (x2 - x1)

= (7 - 3) / (2 - (-2))

= 4/4

= 1

Since y = mx + b and m = 1,

y = (1) * x + b

y = x + b

7 = 2 + b

b = 5

Putting b = 5 in y = x + b, we get:

y = x + 5

Hope this helps!