All categories

2 years ago

Please help ! I don’t understand :(

Mathematics

1 answer:

Elina [12.6K]2 years ago

7 0

Answer:

A. The number quadrupled each week

Step-by-step explanation:

f(x)= 3(4)^x

As per the function, each week number increases 4 times

So the answer choice is A

You might be interested in

I'm almost done if ur up

nirvana33 [79]

Answer:

1/4 gallon

Step-by-step explanation:

the least number that has at least one x is 1/4

5 0

1 year ago

Use triangle ABC drawn below & only the sides labeled. Find the side of length AB in terms of side a, side b & angle C o

Brrunno [24]

Answer:

$AB = \sqrt{a^2 + b^2-2abCos\ C}$

Step-by-step explanation:

Given:

The above triangle

Required

Solve for AB in terms of a, b and angle C

Considering right angled triangle BOC where O is the point between b-x and x

From BOC, we have that:

$Sin\ C = \frac{h}{a}$

Make h the subject:

$h = aSin\ C$

Also, in BOC (Using Pythagoras)

$a^2 = h^2 + x^2$

Make $x^2$ the subject

$x^2 = a^2 - h^2$

Substitute $aSin\ C$ for h

$x^2 = a^2 - h^2$ becomes

$x^2 = a^2 - (aSin\ C)^2$

$x^2 = a^2 - a^2Sin^2\ C$

Factorize

$x^2 = a^2 (1 - Sin^2\ C)$

In trigonometry:

$Cos^2C = 1-Sin^2C$

So, we have that:

$x^2 = a^2 Cos^2\ C$

Take square roots of both sides

$x= aCos\ C$

In triangle BOA, applying Pythagoras theorem, we have that:

$AB^2 = h^2 + (b-x)^2$

Open bracket

$AB^2 = h^2 + b^2-2bx+x^2$

Substitute $x= aCos\ C$ and $h = aSin\ C$ in $AB^2 = h^2 + b^2-2bx+x^2$

$AB^2 = h^2 + b^2-2bx+x^2$

$AB^2 = (aSin\ C)^2 + b^2-2b(aCos\ C)+(aCos\ C)^2$

Open Bracket

$AB^2 = a^2Sin^2\ C + b^2-2abCos\ C+a^2Cos^2\ C$

Reorder

$AB^2 = a^2Sin^2\ C +a^2Cos^2\ C + b^2-2abCos\ C$

Factorize:

$AB^2 = a^2(Sin^2\ C +Cos^2\ C) + b^2-2abCos\ C$

In trigonometry:

$Sin^2C + Cos^2 = 1$

So, we have that:

$AB^2 = a^2 * 1 + b^2-2abCos\ C$

$AB^2 = a^2 + b^2-2abCos\ C$

Take square roots of both sides

$AB = \sqrt{a^2 + b^2-2abCos\ C}$

6 0

3 years ago

The radius of circle A is 4 times greater than the radius of circle B. Which of the following statements is true?

Black_prince [1.1K]

Answer:

Correct answer: C. Ca = 4 Cb

Step-by-step explanation:

Given: Ra = 4 Rb

Ca : Cb = ?

Using the following formula to calculate the circumference of a circle:

C = 2 R π

Cb = 2 Rb π

Ca = 2 Ra π = 2 ·( 4 · Rb) · π = 4 · (2 Rb π) = 4 · Cb

Ca = 4 · Cb

God is with you!!!

3 0

3 years ago

On Friday 237 people attended film festival.there r more 446 people who attended on Saturday than Friday .liza says that a total

pentagon [3]

Liza is wrong because...

Friday = 237
Saturday = 237 + 446
Both days = 920

4 0

2 years ago

What is the reflection across the y-axis?

Allisa [31]

Answer:

Step-by-step explanation:

what ever it is you do the same on the other side

3 0

1 year ago

Read 2 more answers