Complete Question :
An apple turnover is in the shape of a right triangle. What is MP rounded to the nearest tenth? NP 4.73 cm PO = 9.08 approximately cm (Image attached)
Answer:
<u>MP = 6.5535 cm</u>
Step-by-step explanation:
<h3><u>
I have attached the explanation in the attachment below.</u></h3>
Step-by-step explanation:
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<em>S</em><em>.</em><em>I</em><em>=</em><em>$</em><em>2</em><em>1</em>
<em>A</em><em>m</em><em>o</em><em>u</em><em>n</em><em>t</em><em>=</em><em> </em><em>p</em><em>r</em><em>i</em><em>n</em><em>c</em><em>i</em><em>p</em><em>a</em><em>l</em><em> </em><em>+</em><em> </em><em>s</em><em>i</em><em>m</em><em>p</em><em>l</em><em>e</em><em> </em><em>i</em><em>n</em><em>t</em><em>e</em><em>r</em><em>e</em><em>s</em><em>t</em>
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To solve these type of problems you need to use the pythagoras theorem ⇨ Hypotenuse² = Base² + Altitude².
Here,
- Altitude = 1.6 cm.
- Base = 1.2 cm
- Hypotenuse = x
Now, let's solve for x.
Hypotenuse² = Base² + Altitude²
x² = (1.2)² + (1.6)²
x² = 1.44 + 2.56
x² = 4
x = √4
x = <em><u>2</u></em><em><u>.</u></em>
- So, the value of x is <em><u>2</u><u> </u><u>cm.</u></em>
<h3>
<u>NOTE</u><u> </u><u>:</u><u>-</u></h3>
- Pythagoras theorem can be used only in the cases of right-angled triangles. Here, it's given that the triangle is right angled so we can use this theorem.
- To solve the squares if decimals, take them as whole numbers & then just add the decimal points. For example, ⇨ for (1.2)², take it as 12² , then multiply 12 by 12, you'll get 144. Now, add the decimal place accordingly ⇨ 1.44 . So, (1.2)² = 1.44.
Answer:
12.42 -(-4.8) = 17.22
Step-by-step explanation:
1. The most important thing to note is the double negative signs, separated by the paranthesis. When 2 signs, numbers, variable, etc... are separated by a ( ) or simply beside each other, such as 2x or 4(6), you would multiply the 2 numbers.
2. In this equation, note that the negative sign is directly beside the (4.8):
(-)(-4.8) This means that you would multiply the negative sign or -1 by the -4,8. Remember multiplication rules with signs: a negative (-) number x a negative (-) number = a POSITIVE number.
3. Therefore, (-)(-4.8) is looking at the problem as (-) x (-4.8) = +4.8.
4. Note that at this point, the equation becomes an addition problem:
12.42 + 4.8 = x
5. Use your calculator to solve or the CORRECT way of simply lining up the decimals, and, there's your answer:
12.42 + 4.8 = 17.22
She traveled 585 miles.
To find this, you must first find out how many hours she drove. Simply divide 540 (number of minutes she drove for) by 60 (number on minutes in an hour) to get 9 hours. Lastly, multiply 65 (mph) by 9 (number of hours) to get 585 miles. Thus meaning 585 miles is how far she traveled.
I hope this helps!