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2 years ago

10

Round cake has a diameter of 30 cm . Angela places the cake on a circular cake board with a diameter 5 cm longer than that of th

e cake . What's the circumference

1 answer:

Sav [38]2 years ago

5 0

Answer:

circumference of the cake board = 109.9 cm

Step-by-step explanation:

diameter of cake = 30cm

diameter of cake board = 5cm longer than 30cm = 5 + 30 = 35cm

radius cake board = diameter ÷ 2 = 35 ÷ 2 = 17.5 cm

radius of cake board = 17.5 cm

circumference of a circle = 2 × π × r (where π = 3.14)

circumference of a circle = 2 × 3.14 × 17.5 = 109.9 cm

Therefore the circumference of the cake board = 109.9 cm

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-52 times the difference between a number and 14 is equal to the number plus 3

xenn [34]

X=number looked for
we have this equation:
-52(x-14)=x+3
we solve this equation:
-52x+728=x+3
-52x-x=3-728
-53x=-725
x=-725/-53=725/53 ≈13,68

Solution: 725/53

To check:
the difference between 725/53 and 14=725/53 - 14=(725-742)/53=-17/53
-52 times the diference is= -52(-17/53)=884/53
The number plus 3=725/53 + 3=(725+159)/53=884/53

3 0

3 years ago

Answer if u love cats & dogs

eimsori [14]

Answer:

<em>(7, 5.25)</em> lies on the graph.

Step-by-step explanation:

We are given the following values

x = 4, 6, 8, 12 and corresponding y values are:

y = 3, 4.5, 6, 9

Let us consider two points (4, 6) and (6, 4.5) and try to find out the equation of line.

Equation of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given as:

$y=mx+c$

where m is the slope.

(x,y) are the coordinates from where the line passes.

c is the y intercept.

Here,

$x_{1} = 4\\x_{2} = 6\\y_{1} = 3\\y_{2} = 4.5$

Formula for slope is:

$m = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m = \dfrac{4.5-3}{6-4}\\\Rightarrow m = \dfrac{1.5}{2}\\\Rightarrow m = \dfrac{3}{4}$

Now, the equation of line becomes:

$y=\dfrac{3}{4}x+c$

Putting the point (4,3) in the above equation to find <em>c</em>:

$3=\dfrac{3}{4}\times 4+c\\\Rightarrow 3=3+c\\\Rightarrow c =0$

So, final equation of given function is:

$y=\dfrac{3}{4}x$

OR

$4y=3x$

As per the given options, the point <em>(7, 5.25) </em>satisfies the equation.

So correct answer is $(7, 5.25)$ .

6 0

3 years ago

Since some people need the points, here’s a question where you’ll just need to answer it with anything and I give it 5 stars and

mezya [45]

Answer:

thank you very much

Step-by-step explanation:

4 0

2 years ago

HELP PLEASE. Check picture. I have tried but cannot seem to get it.

Sauron [17]

Answer:

$884^{-7}$

Step-by-step explanation:

Start by simplifying the denominator of the fraction. When multiplying exponents of the same base, you can add the exponents. This is also known as the product rule.

$a^x\cdot a^y=a^{x+y}$

["a" is the base, and "x" and "y" are the exponents]

Using this we find...

$884^{58}\cdot884^{46}=884^{58+46}=884^{104}$

When dividing exponents of the same base, you can subtract the exponents. This is also knows as the quotient rule.

$a^x\div a^y=a^{x-y}$

Using this we find...

$\frac{884^{97}}{884^{104}}=884^{97-104}=884^{-7}$

4 0

1 year ago

Read 2 more answers

During the early part of the 1994 baseball season, many sports fans and baseball players noticed that the number of home runs be

natta225 [31]

Complete Question

The picture of the stem plot National and American League is shown on the first uploaded image

Answer:

The value is $\= x = 50.14$

Step-by-step explanation:

From the question we are told that

The stem plot for National League is

$2\ \ \ \ \ 9\\3\ \ \ \ \ 1 \\4\ \ \ \ \ 2\ 6\ 7\ 8\ 8\\5 \ \ \ \ \ 3\ 5\ 5\ 5\\6 \ \ \ \ \ 3\ 3\ 7\\7$

The sample size is n = 14

Generally the stem plot is interpreted in this manner

The numbers on the first column represents the tens of a two digit number while the second column holds the possible unit number the tens in the first column can be combined with

for example 4th row

5 3 5 5 5

is equivalent to

53 55 55 55

Generally the mean for the national league is mathematically represented as

$\= x = \frac{29 + 31 + \cdots + 67}{14}$

=> $\= x = \frac{702}{14}$

=> $\= x = 50.14$

4 0

3 years ago