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3 years ago

Would love some help

Mathematics

2 answers:

ddd [48]3 years ago

3 0

Answer:

Answer is Option D

147°....

Marrrta [24]3 years ago

3 0

The angles of a triangle must always equal 180 so, 180 - 33= 147 degrees.

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If the amount of air in a spherical balloon is 288 cu. in., what is the radius of the balloon? 6 inches 7.3 inches 72 inches

garik1379 [7]

Answer:

6in

Step-by-step explanation:

The volume of a spherical balloon is 4/3 π R^3.

So 288π = 4/3 π R^3

The factors of π cancel out. Divide both sides by 4/3 to get:

216 cubic inches = R^3

Take the cube root of both sides, and you find that R = 6 inches

3 0

4 years ago

The decay of 249 mg of an isotope is given by A=249e−0.015t , where t is time in years. Find the amount after 43 years.

wolverine [178]

Answer:

A≈676.2

Step-by-step explanation:

1. Exponentially solve equation

A=249e-0.0015t as t = 43 years (Unless conversion to seconds)

A≈676.2

2. Solve graphically = intersect = (43, 676.2) x axis is time y axis is amount.

3 0

3 years ago

If you are single with no children, earn $36,000/year and set a savings goal of 5% per month, each month you should save _______

zimovet [89]

Answer:

Each month you should save $ 150

Step-by-step explanation:

First, the earnings are given per year, so we need to transform $36000/year into dollars per month. So, using a rule of three as following, we obtain:

$ 36,000 ------------- 12 months

X -------------- 1 month

Solving for X, we get:

$X=\frac{36000*1}{12}$

X = $ 3,000 /month

it means that earn $36,000/year is equivalent to earn $3,000/month

Now, we need to find the 5% of $3,000, this can be calculated making the following multiplication:

$3,000*\frac{5}{100} = 150$

Then, each month you should save $150

3 0

4 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

Need help please guys.

KengaRu [80]

Answer: x= 21.6

Step-by-step explanation:

12^2 + 18^2 =x^2

144 + 324 =x^2

468 = x^2

c= 21.633

To the nearest tenth place is c= 21.6

3 0

3 years ago

Read 2 more answers