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3 years ago

What is the shape’s area?

Mathematics

1 answer:

Komok [63]3 years ago

4 0

Area is the quantity that expresses the extent of a two-dimensional figure or shape or plane or laminate in the plane surface area is its analog on the two-dimensional surface of a three-dimensional object a shape with an area of 3 square meter

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Anne deposited $500 in an account that earns 6% simple annual interest. Shelly deposited $500 in an account that earns 6% annual

Inga [223]

Answer:

It is clear that, The Shelly account is $11.23 more than that in Anne account .

Step-by-step explanation:

Given as :

For Anne

The amount deposited in account = p = $500

The rate of interest = r = 6% at simple interest

The time period of deposit = t = 4 years

Let The amount received in account after 4 years = $ $A_1$

<u>From Simple Interest method</u>

Simple Interest = $\dfrac{\textrm principal\times \textrm rate\times \textrm time}{100}$

Or, s.i = $\dfrac{\textrm p\times \textrm r\times \textrm t}{100}$

Or, s.i = $\dfrac{\textrm 500\times \textrm 6\times \textrm 4}{100}$

Or, s.i = $\dfrac{12000}{100}$

i.e s.i = $120

∵ Amount = Principal + Interest

Or, $A_1$ = p + s.i

Or $A_1$ = $500 + $120

Or, Amount = $620

So, The Amount in Anne account after 4 years is $620

Again

For, Shelly

The amount deposited in account = P = $500

The rate of interest = R = 6% compounded annually

The time period of deposit = T = 4 years

Let The amount received in account after 4 years = $ $A_2$

<u>From Compound Interest method</u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, $A_2$ = P × $(1+\dfrac{\textrm R}{100})^{\textrm T}$

Or, $A_2$ = $500 × $(1+\dfrac{\textrm 6}{100})^{\textrm 4}$

Or, $A_2$ = $500 × $(1.06)^{4}$

Or, $A_2$ = $500 × 1.26247

Or, $A_2$ = $631.23

So, The amount received by Shelly in her account after 4 years = $631.23

Now, Difference between amount received in their account

i.e $A_2$ - $A_1$ = $631.23 - $620

Or, $A_2$ - $A_1$ = $11.23

Hence, It is clear that, The Shelly account is $11.23 more than that in Anne account . Answer

8 0

3 years ago

Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27 pi

Lerok [7]

Answer:

9 cm

Step-by-step explanation:

Use the cone volume formula, V = $\pi$ r² $\frac{h}{3}$

Plug in the volume and radius, and solve for h, the height:

V = $\pi$ r² $\frac{h}{3}$

27 $\pi$ = $\pi$ (3²) $\frac{h}{3}$

27 $\pi \\$ = 9 $\pi$ $\frac{h}{3}$

3 = $\frac{h}{3}$

9 = h

So, the height of the cone is 9 cm

7 0

3 years ago

Ships A and B are 1,425 feet apart and detect a submarine below them. The angle of depression from ship A to the submarine is 59

andreyandreev [35.5K]

Answer: The distance from ship B to the submarine is 1270.68 feet and the distance from ship A to the submarine is 1084.18 feet.

Step-by-step explanation:

Since we have given that

Distance between Ships A and B = 1425 feet

Angle of depression from ship A to the submarine =59°

Angle of depression from ship B to the submarine = 47°

As shown in the figure below:

Remaining angle will be

$180\textdegree-(47\textdegree+59\textdegree)\\\\=180\textdegree-106\textdegree\\\\=74\textdegree$

So, we will use "Sine formula ":

$\frac{\sin 74\textdegree}{1425}=\frac{\sin 59\textdegree}{B}\\\\B=\frac{1425\times \sin 59\textdegree}{\sin 74\textdegree}\\\\B=1270.68\ feet$

Similarly,

$\frac{\sin 74\textdegree}{1425}=\frac{\sin 47\textdegree}{A}\\\\A=\frac{1425\times \sin 47\textdegree}{\sin 74\textdegree}\\\\A=1084.18\ feet$

Hence, the distance from ship B to the submarine is 1270.68 feet and the distance from ship A to the submarine is 1084.18 feet.

4 0

3 years ago

Read 2 more answers

Please solve this question.

egoroff_w [7]

<h3><u>Answer</u> :</h3>

Let numerator of fraction be x and denominator be y.

∴ Fraction = x/y

★ <u>Part - A</u> :

$:\implies\tt\:\dfrac{x\times 4}{y-2}=2$

$:\implies\tt\:4x=2(y-2)$

$:\implies\tt\:4x=2y-4$

$:\implies\tt\:2y=4x+4$

$:\implies\bf\:y=2x+2\:\:\dots (1)$

★ <u>Part</u><u> </u><u>-</u><u> </u><u>B</u> :

$:\implies\tt\:\dfrac{x+15}{2y-2}=\dfrac{9}{7}$

$:\implies\tt\:7(x+15)=9(2y-2)$

$:\implies\tt\:7x+105=18y-18$

From equation (1)...

$:\implies\tt\:7x+105=18(2x+2)-18$

$:\implies\tt\:7x+105=36x+38-18$

$:\implies\tt\:29x=105-18$

$:\implies\tt\:x=\dfrac{87}{29}$

$:\implies\boxed{\bf{x=3}}$

$:\implies\tt\:y=2x+2$

$:\implies\tt\:y=2(3)+2$

$:\implies\boxed{\bf{y=8}}$

∴ Fraction = x/y = 3/8

<h3>Hope It Helps!</h3>

5 0

3 years ago

Read 2 more answers

A farmer picks a spherical piece of fruit. The farmer measures the diameter to be 19.2 cm. What is the surface area of the frui

sergij07 [2.7K]

Answer:1157.53

Step-by-step explanation:

Equation: 4×pi×r squared

Radius is half of diameter so 19.2÷2=9.6

4×3.14×9.6squared=1157.53

3 0

3 years ago

Read 2 more answers