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3 years ago

Please answer i need help on this

Mathematics

2 answers:

Svet_ta [14]3 years ago

7 0

Answer:

$\frac{1}{4}$

Step-by-step explanation:

I hope that 2 then even means the probability of being even.

$\frac{1}{2}*\frac{1}{2}=\frac{1}{4}$

natka813 [3]3 years ago

5 0

Answer:

Second option: 1/4

Step-by-step explanation:

The total of the spinner is 8 since you spinned it twice

2 and 4 are the only even numbers

=2/8 (simplify)

=1/4

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6(y + 7) = 2(y - 3)<br> What is the answer ?

andrew11 [14]

Answer:

Y= -12

Step-by-step explanation:

6(y + 7) = 2(y - 3)

6y+42=2y-6

4y+42=-6

4y=-48

y=-12

7 0

3 years ago

The volume of a box without a lid is given by the formula v = 4x(10-x)^2, where x is a length in inches and v is the volume in c

Aloiza [94]

The volume of the box without the lid is 500 cubic inches.

<h3>What is volume?</h3>

The capacity of an object is measured by its volume. For instance, a cup's capacity is stated to be 100 ml if it can hold 100 ml of water in its brim.

Another way to think of volume is as the amount of space a three-dimensional object takes up.

Calculation for the volume of the box-

The volume of a box without a lid is given by the formula v = 4x(10-x)².

Where,

'x' is a length in inches, and

'v' is the volume in cubic inches.

The volume when x = 5 inches.

Substitute the value of 'x' in the formula of volume;

v = 4×5(10-5)²

= 20×5²

v = 500

Therefore, the volume of a box without a lid is 500 cubic inches.

To know more about the volume of a cardboard shoe box, here

brainly.com/question/623789

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8 0

2 years ago

Lawrence bought 2/3 pound of roast beef. He used 3/4 of it to make a sandwich. How much roast beef did Lawrence use for his sand

laila [671]

You multiply 3/4 by 2/3 it equals 2/4 which equals 1/2. The answer is 1/2.

3 0

3 years ago

Read 2 more answers

What fraction is equivalent to 2/7, 2/9, 14/21, 16/56, 5/7, 24/35

oksano4ka [1.4K]

16/56
hope i helped!:)

3 0

2 years ago

Read 2 more answers

One of the vertices of an equilateral triangle is on the vertex of a square and two other vertices are on the not adjacent sides

Elina [12.6K]

<h2>Answer:</h2>

<em> The side of the triangle is either 38.63ft or 10.35ft</em>

<h2>Step-by-step explanation:</h2>

This problem can be translated as an image as shown in the Figure below. We know that:

The side of the square is 10 ft.
One of the vertices of an equilateral triangle is on the vertex of a square.
Two other vertices are on the not adjacent sides of the same square.

Let's call:

Since the given triangle is equilateral, each side measures the same length. So:

x: The side of the equilateral triangle (Triangle 1)

y: A side of another triangle called Triangle 2.

That length is the hypotenuse of other triangle called Triangle 2. Therefore, by Pythagorean theorem:

$\mathbf{(1)} \ x^2=100+y^2$

We have another triangle, called Triangle 3, and given that the side of the square is 10ft, then it is true that:

$y+(10-y)=10$

Therefore, for Triangle 3, we have that by Pythagorean theorem:

$(10-y)^2+(10-y)^2=x^2 \\ \\ 2(10-y)^2=x^2 \\ \\ \\ \mathbf{(2)} \ x^2=2(10-y)^2$

Matching equations (1) and (2):

$2(10-y)^2=100+y^2 \\ \\ 2(100-20y+y^2)=100+y^2 \\ \\ 200-40y+2y^2=100+y^2 \\ \\ (2y^2-y^2)-40y+(200-100)=0 \\ \\ y^2-40y+100=0$

Using quadratic formula:

$y_{1,2}=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ y_{1,2}=\frac{-(-40) \pm \sqrt{(-40)^2-4(1)(100)}}{2(1)} \\ \\ \\ y_{1}=37.32 \\ \\ y_{2}=2.68$

Finding x from (1):

$x^2=100+y^2 \\ \\ x_{1}=\sqrt{100+37.32^2} \\ \\ x_{1}=38.63ft \\ \\ \\ x_{2}=\sqrt{100+2.68^2} \\ \\ x_{2}=10.35ft$

<em>Finally, the side of the triangle is either 38.63ft or 10.35ft</em>

5 0

3 years ago

Read 2 more answers