Answer: z = 7
Step-by-step explanation:
Step 1: Subtract 4 from both sides
z + 4 - 4 = 11 -4
z = 7
9514 1404 393
Answer:
10
Step-by-step explanation:
The distance formula is useful.
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((7 -1)^2 +(12 -4)^2) = √(6^2 +8^2) = √(36 +64) = √100
d = 10
The distance between P and Q is 10.
_____
<em>Additional comment</em>
You may recognize the run : rise ratio of 6 : 8 = 3 : 4. This suggests a 3-4-5 right triangle with a scale factor of 2. If you're familiar with that Pythagorean triple, you can write down the answer as soon as you see the rise and run numbers.
263.76 cm is the minimum amount of paper she will need to wrap the entire container.
<u>Step-by-step explanation:</u>
As we know that the equation for surface area of a cylinder,
Surface area of cylinder = 
Where,
r - the radius of the cylinder. Here given diameter (D) as 6. So,

h - the height of the cylinder (given as 11 cm). The value for pi = 3.14. Now, calculate the surface area of the cylinder as

A = 56.52+ 207.24 = 263.76 cm
Answer:
7.9 ft
Step-by-step explanation:
The hypotenuse is the side opposite of the right angle, hence the hypotenuse for this triangle is 11 ft.
Side
is adjacent to the angle given. So we need adjacent and we have hypotenuse. Which trigonometric ratio relates adjacent and hypotenuse? It is COSINE.
<em>Thus, we can write:</em>

<em>Cross multiplying, we can solve for
:</em>

Rounding to nearest tenth, we have
ft.
Answer:
b= 41
h= 38
Step-by-step explanation:
h= b-3
A= 19b
<u>(b-3) x b</u> = 19 b
2
(b-3) x b = 19b(2)
(b-3) x b = 38b
b-3 = 38
<u>b= 41</u> : h= 41 - 3 =<u>h = 38</u>