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2 years ago

Need help asap bc I don’t understand this. I’m not trying to fail. Been on this lesson for 30+ min

Mathematics

1 answer:

Nitella [24]2 years ago

7 0

Answer:

75 in²

Step-by-step explanation:

From the diagram, you can see that the shape is made up of a square and 4 triangles. (We know it's a square as the width = length).

First, find the area of the square.

Area of a square = width x length = 5 x 5 = 25 in²

All the triangles are the same, so we need to find the area of one of the triangle and multiply it by 4.

Area of a triangle = $\frac{1}{2}$ x base x height = $\frac{1}{2}$ x 5 x 5 = 12.5 in²

So total area of 4 of these triangles = 4 x 12.5 = 50 in²

Therefore the total surface area = 25 + 50 = 75 in²

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Jenny multiplies the square root of her favorite positive integer by $\sqrt{2}$. Her product is an integer. a) Name three number

Dmitry [639]

Answer:

Part a) $2,50,18$

Part b) When Jenny divides the square root of her favorite positive integer by $\sqrt{2}$ , she gets an integer

Step-by-step explanation:

Let

x-------> the favorite positive integer

Part a)

1) For $x=2$

$\sqrt{2}*\sqrt{2}=\sqrt{4}=2$ -----> the product is an integer

The number $x=2$ could be Jenny favorite positive integer

2) For $x=50$

$\sqrt{50}*\sqrt{2}=\sqrt{100}=10$ -----> the product is an integer

The number $x=50$ could be Jenny favorite positive integer

3) For $x=18$

$\sqrt{18}*\sqrt{2}=\sqrt{36}=6$ -----> the product is an integer

The number $x=18$ could be Jenny favorite positive integer

Part B)

1) For $x=2$

$\sqrt{2}/\sqrt{2}=\sqrt{1}=1$ -----> the result is an integer

2) For $x=50$

$\sqrt{50}/\sqrt{2}=\sqrt{25}=5$ -----> the result is an integer

3) For $x=18$

$\sqrt{18}/\sqrt{2}=\sqrt{9}=3$ -----> the result is an integer

Therefore

When Jenny divides the square root of her favorite positive integer by $\sqrt{2}$ , she gets an integer

4 0

3 years ago

What is the center and radius of the circle with the equation x2 + y2 = 42

MakcuM [25]

The sender is seven hundred ajdhfkandhf

8 0

3 years ago

Which is the simplified form of the expression?

Scorpion4ik [409]

Answer:

1 / q^30.

Step-by-step explanation:

[(p^2)(q^5)]^-4 * [(p^-4)(q^5)]^-2

Using the law (a^b)^c = a^bc :-

= p^-8 * q^-20 * p^8 * q^-10

= p^(-8+8) * q^(-20-10)

= p^0 * q^-30

= 1 * q^-30.

= 1 / q^30.

8 0

3 years ago

I need some help on this math problem, thanks so much

bekas [8.4K]

Answer:

The answer is C.

Step-by-step explanation:

Hit 'em with the Law of Sines.

sin(A)/a = sin(B)/b.

Let's say x is equal to "A", thus 5 is "a".

sin(x)/5 = sin(B)/b.

We could go for the obvious choice for "B", which would be the 90 degrees shown. To solve for the hypotenuse which will be "b", let's use the Pythagorean Theorem:

a^2 + b^2 = c^2

5^2 + 20^2 = c^2

25 + 400 = 425

sqrt(425) = about 20.6, which we can now substitute "b" with.

sin(x)/5 = sin(90)/20.6

sin(x)/5 = 1/20.6

sin(x)/5 = 0.04854...

sin(x) = 0.2427...

You can plug in sin^-1(0.2427) into your calculator, and you should end up with something like 14.047... which equates to answer choice C.

6 0

3 years ago

What is the value of x?<br> Enter your answer in the box.<br> X=?

Marina86 [1]

Answer:

x = 32

Step-by-step explanation:

This is an equilateral triangle. This means the angles of the triangle are all equal. Since the sum of a triangle's angles is 180°, that means each angle will be 60°.

$2x-4=60\\2x=64\\x=32$

8 0

3 years ago