Answer: 27.5 pages per hour
Step-by-step explanation:
Well, first you make the 12 minutes into an hour (times by 5), then times the pages she read (5.5) by 5, which is 27.5, so she reads 27.5 pages per hour, you can also use 27 and a half pages per hour.
Answer:
f(-2) = -15
Step-by-step explanation:
f(x) = 5x-5
Let x = -2
f(-2) = 5(-2) -5
= -10 -5
=-15
Answer:

Step-by-step explanation:
The triangles are drawn below.
CD is perpendicular to AB as CD is height to AB.
Therefore, angles
°
So, triangles ΔCBD and ΔCAD are right angled triangles.
Now, from the right angled triangle ΔABC,

From ΔCBD,
is same as
.
So, 

Now, from ΔCAD,
is same as 
So, 

Hence, the unknown angles of both the triangles are:

Answer:
<em>He will need 51 yards, 1 foot and 8 inches twine to wrap 29 cartons. </em>
Step-by-step explanation:
Muhammad uses 1 yard, 2 feet and 4 inches of twine to wrap each carton he packs.
<u>We know that, 1 yard = 36 inches and 1 foot = 12 inches</u>.
So, 1 yard, 2 feet and 4 inches
inches.
That means, he uses 64 inches of twine to wrap each carton.
He has to pack 29 cartons today. So, <u>the total length of the twine he will need</u>
inches.
Now....
1856 inches

Thus, he will need 51 yards, 1 foot and 8 inches twine to wrap 29 cartons.
Answer:
Exact area: 39.2π cm²
Approximate area: 123.2 cm²
Step-by-step explanation:
The area of a circle is πr².
A full circle can be thought of as a sector of a circle with 360° of central angle. For a sector of a circle with a central angle of n°, multiply the area of the circle by the fraction n°/360°.
The formula for the area of a sector of circle with central angle n° and radius r is
A = (n°)/(360°) × πr²
Here we have n = 72; r = 14 cm
A = (n°)/(360°) × πr²
A = (72°)/(360°) × π × (14 cm)²
A = 39.2π cm² = 123.2 cm²