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3 years ago

C. A circular puzzle is 20 inches in diameter. All of the pieces are about the same

Mathematics

1 answer:

Kay [80]3 years ago

7 0

Answer:

Circumference if the diameter is 20 the radius is 10 so if all the pieces are equal to 20 you have to find the radius(10) so the answer is 125 pieces

Step-by-step explanation:

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Write an equivalent expression for 7¹² × 7⁴

ira [324]

Answer:

$\huge\boxed{7^{16}}$

Step-by-step explanation:

We can use exponent rules to try and simplify this expression down.

Exponent rules tell us that $x^a + x^b = x^{a+b}$ .

This means that since we have the same base on both terms (7 and 7), we can add the exponents to get a simplified expression.

$12 + 4 = 16$

So our simplified expression is $7^{16}$ .

Hope this helped!

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3 years ago

Use the following graph of the function f(x) = −3x4 − x3 + 3x2 + x + 3 to answer this question: What is the average rate of chan

Alinara [238K]

the average rate of change is just the slope from (0,f(0)) to (1,f(1))

find f(0) and f(1)

$f(0)=-3(0)^4-(0)^3+3(0)^2+0+3=3$

$f(1)=-3(1)^4-(1)^3+3(1)^2+1+3=-3-1+3+1+3=3$

slope from (0,3) to (1,3) is rise/run=(3-3)/(0-1)=0/-1

the average rate of change from x=0 to x=1 for f(x) is 0

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2 years ago

Estimate 19% of 44. 8, 9, 9.5, 10

Anna71 [15]

10% of 44 is 4.4 and 5% is 2.2 so 6.6 is 15% so an estimate of 8 is the most accurate

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3 years ago

The curved surface area of a right circular cylinder of height 14 cm is 88 cm².

Slav-nsk [51]

Answer:

The diameter of the base of the cylinder is 2 cm.

Step-by-step explanation:

GIVEN :

As per given question we have provided that :

➣ Height of cylinder = 14 cm
➣ Curved surface area = 88 cm²

$\begin{gathered}\end{gathered}$

TO FIND :

in the provided question we need to find :

➠ Radius of cylinder
➠ Diameter of cylinder

$\begin{gathered}\end{gathered}$

USING FORMULAS :

$\star{\underline{\boxed{\sf{\purple{Csa = 2 \pi rh}}}}}$

$\star{\underline{\boxed{\sf{\purple{d = 2r}}}}}$

➛ Csa = Curved surface area
➛ π = 22/7
➛ r = radius
➛ h = height
➛ d = diameter

$\begin{gathered}\end{gathered}$

SOLUTION :

Firstly, finding the radius of cylinder by substituting the values in the formula :

$\begin{gathered} \qquad{\longrightarrow{\sf{Csa = 2 \pi rh}}} \\ \\ \qquad{\longrightarrow{\sf{88 = 2 \times \dfrac{22}{7} \times r \times 14}}} \\ \\ \qquad{\longrightarrow{\sf{88 =\dfrac{44}{7} \times r \times 14}}} \\ \\ \qquad{\longrightarrow{\sf{88 =\dfrac{44}{\cancel{7}}\times r \times \cancel{ 14}}}} \\ \\ \qquad{\longrightarrow{\sf{88 =44 \times r \times 2}}} \\ \\ \qquad{\longrightarrow{\sf{88 =88 \times r}}} \\ \\ \qquad{\longrightarrow{\sf{r = \frac{88}{88}}}} \\ \\ \qquad{\longrightarrow{\underline{\underline{\sf{\pink{r = 1 \: cm}}}}}} \end{gathered}$

Hence, the radius of cylinder is 1 cm.

———————————————————————

Now, finding the diameter of cylinder by substituting the values in the formula :

$\begin{gathered} \qquad{\longrightarrow{\sf{d = 2r}}} \\ \\ \qquad{\longrightarrow{\sf{d = 2 \times 1}}} \\ \\ \qquad{\longrightarrow{\underline{\underline{\sf{\red{r = 2 \: cm}}}}}}\end{gathered}$

Hence, the diameter of the base of the cylinder is 2 cm.

$\rule{300}{2.5}$

3 0

2 years ago

Read 2 more answers

You picked one marble out of a bag that contains 6 red marbles, 5 white marbles, and 3 blue marbles. Find p(red and blue).

Tcecarenko [31]

Answer: p=9
explanation: 6 reds + 3 blues = 9.

6 0

3 years ago