MATHEMATICS HIGH SCHOOL

Len is baking a square cake for his friend wedding. When served to the guests, the cake will be cut into square pieces 1 inch on the side. The cake should be large enough so that 121 guests get one piece. How long should each side of the cake be?

Answers

Answer 1

Answer:

You would just need to take the square root of 121 since it is square. So:

√121= 11 inches per side

Answer 2

Answer:

Final answer:

Len must bake a square cake that's 11 inches on each side to satisfy 121 guests with square pieces of cake.

Explanation:

To calculate the length of each side of the cake, we will use the concept of square root. The square root of a number gives the length of the side of a square whose area is that number. The number of guests, who will each receive one square piece of cake, is the area of the cake in square inches. So, we need to calculate the square root of 121, which is the number of guests.

Step 1: Write down the number of guests, 121.

Step 2: Calculate the square root of the number from step 1. The square root of 121 is 11.

Therefore, the length of each side of the cake should be 11 inches.

Learn more about Square Root here:

brainly.com/question/1540542

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compare the functions shown below: f(x) = −3x − 5 g(x) cosine function with y intercept at 0, negative 3 h(x) = 2 cos(2x − π) 4 which function has the greatest y-intercept? (2 points) f(x) g(x) h(x) all three functions have the same y-intercept.

Whats 1+1 ita just to hard im trying but i can't figure it out

Answers

Answer: 25

Step-by-step explanation:

because its funnier than 24.

The graph shows the number of laps that Jan runs as her coach times her.What is the slope of the line and what does it mean in this situation?

The slope of the line is(blank)

This means that Jan runs(blank) laps every (blank)

Answers

Answer:

The slope of the line is 2. It means Jan runs 2 laps every minute.

Step-by-step explanation:

From the given graph it is noticed that the line passing through the points (2,4) and (5,10).

The slope of lines is

$m=(y_2-y_1)/(x_2-x_1)$

The slope of given line is

$m=(10-4)/(5-2)$

$m=(6)/(3)$

$m=2$

The slope of the line is 2.

In the given graph x axis represents the time in min and y-axis represents the laps run. The slope defines the number of laps in each minute.

The slope is 2, it means Jan runs 2 laps every minute.

the slope of the line is +2

this means that Jan runs 2 laps every 1 minute

Simplify the expression: 1/1+cot^2xa.sec^2x
b.csc^2x
c.sin^2x
d.cos^2x
e.tan^2x

Answers

$\sin ^( 2 ){ x } +\cos ^( 2 ){ x } =1\n \n \frac { \sin ^( 2 ){ x } }{ \sin ^( 2 ){ x } } +\frac { \cos ^( 2 ){ x } }{ \sin ^( 2 ){ x } } =\frac { 1 }{ \sin ^( 2 ){ x } } \n \n 1+\cot ^( 2 ){ x } =\csc ^( 2 ){ x }$

Because of this...

$\frac { 1 }{ 1+\cot ^( 2 ){ x } } \n \n =\frac { 1 }{ \csc ^( 2 ){ x } }$

But...

$\frac { 1 }{ \csc ^( 2 ){ x } } =\sin ^( 2 ){ x }$

Therefore:

$\frac { 1 }{ 1+\cot ^( 2 ){ x } } =\sin ^( 2 ){ x }$

Answer:

(c)

If the area of ABC is 20 cm2, what is the area of PQR? Show your work.

Answers

Since the triangles are similar, the first thing to do is find the scale factor.
We have then:
k = 6/4 = 3/2
Then, the area will be given by:
A '= k ^ 2 * A
Substituting values:
A '= ((3/2) ^ 2) * (20)
A '= 45 cm ^ 2
Answer:
The area of PQR is:
A '= 45 cm ^ 2

Answer:

Area of ΔPQR = 45 cm²

Step-by-step explanation:

From the given figure we can see that triangle ABC and triangle PQR are similar triangles.

If two triangles are similar the the ratio of area of two triangle is equal to the square of ratio of corresponding sides

To find the area of triangle PQR

Ar(ABC) = 20, AB = 4 cm and PQ =6 cm

From figure we can write,

Ar(ABC)/ar(PQR) = (AB/PQ)²

20/ar(PQR) = (4/6)²

20/ar(PQR) = 16/36

ar(PQR) = (36 x 20)/16 = 45 cm²

Were these answers right? It not explain why please xx it's meant to be in12 hour clock

Answers

The answers are both correct, but perhaps incomplete.

I see 'X's marked next to the two answers. If those mean that
your answers were marked 'wrong', then I think the problem is this:

-- The top one should have been "10:00 AM".

-- The bottom one should have been "10:39 PM".

Solve 2^x=3. round to the nearest ten thousandth