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3 years ago

Need the value of P please

Mathematics

1 answer:

nirvana33 [79]3 years ago

8 0

Answer:

B. 35°

Step-by-step explanation:

First, find the two interior angles that are adjacent to angles 90° and 125° respectively.

Thus:

Interior angle 1: 180° - 90° = 90° (linear pair)

Interior angle 2: 180° - 125° = 55° (linear pair)

P + 90° + 55° = 180° (sum of interior angles in a triangle)

P + 145° = 180°

Subtract 145° from each side

P = 180° - 145°

P = 35°

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11/21 as a decimal and a percent

pochemuha

11/21 written as a decimal would be 0.52381 and in percent, it would be 52.381%.

To solve percent, since the total or 1/1 is 100%, we have to remember that the answer is less than 100%. So, we move 2 decimal places right to make it into percent. Then, the answer is 52.381.

To solve percent, you would do 100/21. Then, you would get 4.7619047619. You multiply that by 11 and get 52.381. But, you have to move 2 places left since fractions are tens, hundreds. So, you would get 0.52381.

8 0

3 years ago

Guys help please I am struggling

alina1380 [7]

9514 1404 393

Answer:

14.1 years

Step-by-step explanation:

Use the compound interest formula and solve for t. Logarithms are involved.

A = P(1 +r/n)^(nt)

amount when P is invested for t years at annual rate r compounded n times per year.

Using the given values, we have ...

13060 = 8800(1 +0.028/365)^(365t)

13060/8800 = (1 +0.028/365)^(365t) . . . . divide by P=8800

Now we take logarithms to make this a linear equation.

log(13060/8800) = (365t)log(1 +0.028/365)

Dividing by the coefficient of t gives us ...

t = log(13060/8800)/(365·log(1 +0.028/365)) ≈ 0.171461/0.0121598

t ≈ 14.1

It would take about 14.1 years for the value to reach $13,060.

8 0

3 years ago

The area of a rectangle is 4w - 10 square units.

podryga [215]

Area of rectangle = 2(2w - 5) is the factored form of given expression

Multiplying the length and width of a rectangle, we get the area of the rectangle

Solution:

Given that, area of rectangle is 4w - 10 square units

We have to factor the expression

From given,

Area of rectangle = 4w - 10

Take 2 as common factor

Area of rectangle = 2(2w - 5)

Thus the given expression is factored

The area of rectangle is given as:

$Area\ of\ rectangle = length \times width$

$Area\ of\ rectangle = 2 \times (2w - 5)$

Thus, multiplying the length and width of a rectangle, we get the area of the rectangle

When we multiply 2 with 2w - 5 we get the area of rectangle

From above we can say,

Length = 2 or 2w - 5

Width = 2w - 5 or 2

So when dimensions of rectangle are multiplied we get area of rectangle

3 0

2 years ago

The lengths of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible

3241004551 [841]

Answer:

Option 2 - 3.2 inches.

Step-by-step explanation:

Given : The lengths of two sides of a right triangle are 5 inches and 8 inches.

To find : What is the difference between the two possible lengths of the third side of the triangle?

Solution :

According to question, it is a right angle triangle

Applying Pythagoras theorem,

$H^2=P^2+B^2$

Where, H is the hypotenuse the longer side of the triangle

P is the perpendicular

B is the base

Assume that H=8 inches and B = 5 inches

Substitute the value in the formula,

$8^2=P^2+5^2$

$64=P^2+25$

$P^2=64-25$

$P^2=39$

$P=\sqrt{39}$

$P=6.24$

Assume that P=8 inches and B = 5 inches

Substitute the value in the formula,

$H^2=8^2+5^2$

$H^2=64+25$

$H^2=89$

$H=\sqrt{89}$

$H=9.43$

Therefore, The possible length of the third side of the triangle is

$L=H-P$

$L=9.43-6.24$

$L=3.19$

Therefore, The difference between the two possible lengths of the third side of the triangle is 3.2 inches.

So, Option 2 is correct.

3 0

3 years ago

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How many 4s are in 16 ?

kiruha [24]

Answer:

Step-by-step explanation:

8 0

3 years ago

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