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3 years ago

Help, please!! What is mA?

Mathematics

1 answer:

Inga [223]3 years ago

4 0

Answer:

38°

Step-by-step explanation:

The measure of required angle can be obtained by using cosine law.

From the given triangle we find that:

a = 5, b = 3, c = 7,

Since,

cos (A) = (b^2 +c^2 - a^2) /2bc

Therefore,

cos (A) = (3^2 + 7^2 - 5^2) /(2*3*7)

cos (A) = (9 + 49 - 25) /(42)

cos (A) = (33) /(42)

cos (A) = 0.785714286

A = arccos(0.785714286)

A = 38.213210675°

A = 38°

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A rectangle has an area of 0.24 of a square. What are some possibility for the length and width of the rectangle? Tell why

VLD [36.1K]

Answer:

<h3>The possibilities of length and width of the rectangle are </h3><h3>x=1, y=0.24;</h3><h3>x=0.5, y=0.48;</h3><h3>x=0.25, y=0.96;</h3><h3>x=2, y=0.12</h3>

Step-by-step explanation:

Given that the area is 0.24 square meter

The area of a rectangle is given by

$Area=length\times width$ square units

Let x be the length and y be the width.

Since the area is 0.24 square meter, we have the equation:

$Area=x\times y = 0.24$ , with x and y measures in meters

If we want to know some possibilities of x and y, we can assume a value for one of them, and then calculate the other one using the equation.

Now choosing some values for "x", we have:

Put x = 1

$1\times y = 0.24$

∴ y = 0.24

Now put x = 0.5 we get

$0.5\times y = 0.24$

∴ y = 0.48

Put x = 0.25

$0.25\times y = 0.24$

∴ y = 0.96

Put x = 2

$2\times y = 0.24$

∴ y = 0.12

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2 years ago

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Find the distance between point A and point B.<br><br> A) 5 <br> B) 6 <br> C) 8 <br> D) 9

Sophie [7]

Answer:

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2 years ago

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1/7 divided by blank equals 14

kherson [118]

Answer:

1/98

Step-by-step explanation:

Step 1: Translate statement into equation.

$\frac{1}{7}/x = 14$
$\frac{1}{7x}=14$

Step 2: Multiply both sides by 7x.

$\frac{1}{7x} * 7x = 14 * 7x$
$1 = 98x$

Step 3: Divide both sides by 98.

$\frac{1}{98} =\frac{98x}{98}$
$x = \frac{1}{98}$

Step 4: Check if solution is correct.

$\frac{1}{7}/\frac{1}{98}$
$\frac{1}{7}*98$
$14$

Therefore, the answer is 1/98.

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2 years ago

The local carnival grounds are in the shape of a rectangle. The area of the grounds is 0.125 square mile. The length of the grou

Sliva [168]

Answer:

Step-by-step explanation:

Width = x

Length = 2x

Area of the ground = 0.125 square mile

length * width = 0.125

2x * x = 0.125

2x² = 0.125

x² = $\frac{0.125}{2}\\\\$

= 0.0625

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Width = 0.25 miles

Length = 2* 0.25 = 0.50 miles

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2 years ago

One leg of a right triangle is 10 units, and its hypotenuse is 12 units. What is the length of the other leg? A. about 7 units B

Alborosie

Answer:

Step-by-step explanation:

We can use the Pythagorean Theorem:

$a^2+b^2=c^2$ , where a and b are the two legs and c is the hypotenuse.

Plug in what we know:

$(10)^2+b^2=(12)^2$

$100+b^2=144$

$b^2=44$

$b=\sqrt{44}\approx 6.63\approx7$

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2 years ago

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