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3 years ago

In pentagon ABCDE, A = 87º, B = 1250, C = 63º, and E = 95º. Find

Mathematics

1 answer:

lesantik [10]3 years ago

6 0

Answer:

$D = 170\º$

Step-by-step explanation:

Given

Shape: Pentagon

$A = 87\º$

$B = 125\º$

$C = 63\º$

$E = 95\º$

Required

Find D

From the sum of angles in a Pentagon; we have that

$A + B + C + D + E = 540$

Substitute values for A, B, C and E

$87\º + 125\º + 63\º + D + 95\º = 540\º$

Collect Like Terms

$87\º + 125\º + 63\º + 95\º + D = 540\º$

$370\º + D = 540\º$

Collect Like Terms

$D = 540\º - 370\º$

$D = 170\º$

<em>Hence, from the list of given options, the correct answer is 170</em>

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3 years ago

If a store had 330 video games, and 47% of the games were for Xbox, and 53% were for ps4, then how many xbox and ps4 games are i

Bingel [31]

Answer:

The number of games for Xbox is about 155

The number of games for PS4 is about 175

Step-by-step explanation:

Let us find the numbers of games for Xbox and for PS4 game

∵ There are 330 video games in the store

∵ 47% of them were for Xbox

- Multiply 47% by 330

∴ The number of games for Xbox = 47% × 330

∵ 47% = $\frac{47}{100}$

∴ The number of games for Xbox = $\frac{47}{100}$ × 330

∴ The number of games for Xbox = 155. 1

∴ The number of games for Xbox ≅ 155

∵ 53% of them were for PS4

- Multiply 53% by 330

∴ The number of games for PS4 = 53% × 330

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4 0

3 years ago

Maria took out an unsubsidized Stafford loan of $6,925 to pay for college. She plans to graduate in 4 years. The loan had a dura

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Answer:

$144.70

Step-by-step explanation:

Calculation to determine how much greater will the amount of interest capitalized be than the minimum amount that she could pay to prevent interest capitalization

First step is to determine the Interest only monthly repayments

Using this formula

I=Prt

where,

P=$6925

r=0.05/1

t=1

Let plug in the formula

I=6925*0.05/12

I= $28.854166666

Second step is to determine the amount she will owe after 4 years

Using this formula

S=P(1+r)n

Let plug in the formula

S=6925*(1+0.05/12)4*12

S=6925*(1+0.05/12)48

S=$8454.70

Third step is to determine the Interest part

Interest =8454.70 - 6925

Interest = $1529.70

Now let determine the how much greater will the amount of interest capitalized be

Interest capitalized=1529.70 - 1385.00

Interest capitalized =$144.70

Therefore how much greater will the amount of interest capitalized be than the minimum amount that she could pay to prevent interest capitalization is $144.70

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3 years ago

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3 years ago