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3 years ago

What is the exact volume of a sphere that has a radius of 7.5 ft?

Mathematics

2 answers:

Anettt [7]3 years ago

3 0

The exact radius is
V
≈1767.15ft³

faust18 [17]3 years ago

3 0

1767.14586764426 you can round it if you want. I used a formula calculator. Your welcome

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35 boys 21 girls. mei ling surveys 16 girls. barry surveys 28 and 12 and halmi surveys 14 and 14. who would have the most approp

seraphim [82]

Halmi had the most appropriate information because when you add both the girls and the boys up it is 56 after that you have to add 14+14=28.

28/56= exactly %50 of the entire group.

6 0

3 years ago

Sofian's current age is (2x + 3) times Mastura's age. Given that Mastura's current age is (x + 5) years and 6 years ago, the sum

Sliva [168]

${\large{\textsf{\textbf{\underline{\underline{Given :}}}}}}$

★ Sofian's current age is (2x + 3) times Mastura's age.

★ Mastura's current age is (x + 5) years

★ 6 years ago, the sum of their ages is 44 years.

${\large{\textsf{\textbf{\underline{\underline{To \: Find :}}}}}}$

★ The value of x.

${\large{\textsf{\textbf{\underline{\underline{Solution :}}}}}}$

According to the question,

Present age of Mastura = (x + 5) years

Present age of Sofian = (2x + 3) (x + 5) years, i.e :

$\longrightarrow \tt (2x + 3) (x + 5)$

$\longrightarrow \tt 2 {x}^{2} + 10x + 3x + 15$

$\longrightarrow \tt 2 {x}^{2} + 13x + 15 \: years$

Now,

Mastura's age 6 years ago = (x + 5) - 6

=> x + 5 - 6

=> x - 1

Sofian's age 6 years ago = 2x² + 13x + 15 - 6

= 2x² + 13x + 9

Using the condition provided by the question, 

Mastura's age 6 years ago + Sofian's age 6 years ago = 44

$\longrightarrow \tt (x - 1) + (2 {x}^{2} + 13x + 9) = 44$

$\longrightarrow \tt x - 1 + 2 {x}^{2} + 13x + 9 = 44$

$\longrightarrow \tt 2 {x}^{2} + 14x + 8 = 44$

$\longrightarrow \tt 2 {x}^{2} + 14x + 8 - 44 = 0$

$\longrightarrow \tt 2 {x}^{2} + 14x - 36= 0$

• Taking "2" common.

$\longrightarrow \tt 2 ({x}^{2} + 7x - 18) = 0$

$\longrightarrow \tt {x}^{2} + 7x - 18 = \dfrac{0}{2}$

$\longrightarrow \tt {x}^{2} + 7x - 18= 0$

• Using splitting the middle term

$\longrightarrow \tt {x}^{2} + 9x - 2x - 18 = 0$

$\longrightarrow \tt x(x + 9) - 2(x + 9) = 0$

$\longrightarrow \tt (x + 9) (x - 2) = 0$

either $\tt (x + 9) = 0 \: \: or \: \: (x - 2) = 0$

$\longrightarrow \tt x = - 9 \: \: or \: \: x = 2$

[As the age cannot be negative. So x = - 9 is rejected]

$\therefore \tt \: x = \red{ 2}$

${\large{\textsf{\textbf{\underline{\underline{Verification :}}}}}}$

According to the condition provided by the question, 

• Mastura's age 6 years ago + Sofian's age 6 years ago = 44

$\longrightarrow \tt x - 1 + 2 {x}^{2} + 13x + 9 = 44$

Putting x = 2 we get,

$\longrightarrow \tt 2 - 1 + 2( {2})^{2} + 13(2) + 9 = 44$

$\longrightarrow \tt 1 + 2 \times 4 + 26+ 9 = 44$

$\longrightarrow \tt 1 + 8 + 26+ 9 = 44$

$\longrightarrow \tt 9 + 26+ 9 = 44$

$\longrightarrow \tt 18 + 26 = 44$

$\longrightarrow \tt 44 = 44$

Hence verified.

$\begin{gathered} {\underline{\rule{290pt}{3pt}}} \end{gathered}$

Hope it helps you! :))

6 0

3 years ago

Write an integer that represents 5 inches of snow melting. *

miss Akunina [59]

Answer:

-5

Step-by-step explanation:

There was five inches of snow, correct? Now, the five inches are melting. It's kinda like subtraction.

5 - 5

6 0

4 years ago

Can anyone help me with these two plz

Evgen [1.6K]

Answer:

Part 1) The scale factor is $1.5$

Part 2) The altitude QS is $4\ units$

Part 3) The scale factor is $\frac{2}{3}$

Part 4) The value of x is $12\ units$

Part 5) The perimeter of ABCDE is $46\ units$

Step-by-step explanation:

Part 1) Find the scale factor of triangle TQR to triangle NQP

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z-----> the scale factor

$z=\frac{NP}{RT}$

substitute the values

$z=\frac{24}{16}=1.5$

Part 2) Find the length of the altitude QS

we know that

To find the altitude QS, divide the altitude of triangle NQP by the scale factor

$QS=\frac{6}{1.5}=4\ units$

Part 3) Find the scale factor of FGHJK to ABCDE

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z-----> the scale factor

$z=\frac{AB}{FG}$

substitute the values

$z=\frac{10}{15}=\frac{2}{3}$

Part 4) Find the value of x

we know that

The value of x is equal to multiply the length side FK by the scale factor

$AE=FK(z)$

substitute the values

$AE=18(2/3)=12\ units$

Part 5) Find the perimeter of ABCDE

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-----> the scale factor

x-----> the perimeter of ABCDE

y-----> the perimeter of FGHJK

$z=\frac{x}{y}$

we have

$z=\frac{2}{3}$

$y=15+9+12+15+18=69\ units$

substitute the values

$z=\frac{x}{y}$

$x=(z)(y)=\frac{2}{3}(69)=46\ units$

6 0

4 years ago

Maria is making blueberry muffins using a blueberry cake recipe. To make the muffins, she has to divide the cake recipe in half.

telo118 [61]

I think she would have to divide 2/3 by 1/2. So you would do 2/3 x 2/1 and since 2/1 is equal to 2 the answer would be B Hope this helped - Ashlynn

3 0

3 years ago

Read 2 more answers