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Travka [436]
3 years ago
6

Dana takes a sheet of paper and cuts from one corner to the opposite corner, making two triangles. If the piece of paper is 8 in

ches long and 5 inches wide, how long is the diagonal cut that Dana made? If necessary, round to the nearest tenth.
Mathematics
1 answer:
Bas_tet [7]3 years ago
6 0

Answer:

9.4 inches

Step-by-step explanation:

The triangle formed is  aright angled triangle with the right angle between the  length and width of the paper cut hence the diagonal represents the hypotenuse side.

Recall that Pythagoras theorem states that

a^2 + b^2 = c^2 where c is the hypotenuse side and a, b are the opposite and adjacent sides

Hence

8^2 + 5^2 = c^2

c^2 = 64 + 25

= 89

Finding the roots of both sides

c = 9.433981132

To the nearest tenth

c = 9.4 inches

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30 ⅓ % of 3 plz help me
Vikki [24]

Answer:

3 / 10 is the answer in fraction and 0.3 is the answer in decimal.

Step-by-step explanation:

hope this answer will help you

have a great time

5 0
2 years ago
What is the area of this figure? Round to the tenth if necessary.
Julli [10]

Answer:

<h3>b) 850.1 centimeters.</h3>

Step-by-step explanation:

To find the area of this figure, we must first find the areas of the shapes that compose this figure.

This figure is made up of a rectangle and a semicircle.

Remember: To find the area of a semicircle, multiply the radius by itself twice, then multiply the product pi, lastly divide the product by 2.

a=\pi r^2/2

<u>3.14 will be used for pi!</u>

To find the area of a rectangle, multiply the length by the width. The product is the area of the rectangle.

a=lw

Now, let's solve.

The diameter of the semicircle is 32 centimeters.

To find the radius of a semicircle, divide the diameter by 2.

32/2=16

The radius of the semicircle is 16 centimeters.

Now that we have the radius, we can find the area of the semicircle.

\pi 16^2/2=401.92

The area of the semicircle is 401.92 centimeters.

Furthermore, we find the area of the rectangle.

14*32=448.

The area of the circle is 448 centimeters.

Next, we add the areas of both shapes to find the area of this figure.

401.92+448

=849.92

The final step is to round 849.92 to the nearest tenth.

Even though 849.92 to rounded to the nearest tenth is 849.9, there is no answer choice for this. The closest one to this answer is choice 'b.'

I, therefore, believe the area of this figure is 850.1 centimeters.

3 0
2 years ago
diagrams are not drawn to scale. do numbers 10 and 12. i only care about the answers &amp; the steps to get the answers. pls don
Stella [2.4K]

10. from the question; the circle theorem obeyed is "angled formed by semi-circle"

The angle formed in a semicircle is 90 degrees, hence

m\angle XYZ=90^{\circ}

This gives

m\angle YXZ\text{ + m}\angle YZX\text{ = 90}

But

\begin{gathered} m\angle YXZ\text{ = 2x + 8} \\ m\angle YZX\text{ = 5X - 2} \end{gathered}

Substituting values we get

\begin{gathered} 2x\text{ + 8 + 5x - 2 = 90} \\ 2x\text{ + 5x + 8 - 2 = 90} \\ 7x\text{ + 6 = 90} \\ 7x\text{ = 90 -6} \\ 7x\text{ = 84} \\ \text{divide both sides by 7} \\ x\text{ = }\frac{84}{7} \\ x\text{ = 12} \end{gathered}

hence, x =12

3 0
1 year ago
A cut was made on each solid parallel to its base. Will the cut form a two-dimensional figure that is exactly the same shape as
ivolga24 [154]

Answer:

Step-by-step explanation: yes yes no yes no I think. I think it’s no for cylinder and cube bc if u cut them, it’ll be the same shape but also the same size

8 0
3 years ago
Answers for both boxes please ​
Neporo4naja [7]

Answer:

i think its -1

Step-by-step explanation:

sorry if im wrong

3 0
2 years ago
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