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natka813 [3]
3 years ago
5

(1 point) an open box is to be made from a flat piece of material 12 inches long and 5 inches wide by cutting equal squares of l

ength from the corners and folding up the sides. write the volume of the box as a function of . leave it as a product of factors, do not multiply out the factors.
Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
7 0
The answer stays in school kids I'm not really sure on the answer to ask your teacher.
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Ms.Graves gave her class 12 minutes to read. Carrie reads 5 1/2 pages in that time. At what rate, in pages per hour, did Carrie
miv72 [106K]

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.

3 0
3 years ago
Read 2 more answers
Given f(x) = 5x-5 find f(-2)​
lys-0071 [83]

Answer:

f(-2) = -15

Step-by-step explanation:

f(x) = 5x-5

Let x = -2

f(-2) = 5(-2) -5

      = -10 -5

     =-15

5 0
3 years ago
In triangle ΔABC, ∠C is a right angle and CD is the height to
Zina [86]

Answer:

m\angle CDB=90\\m\angle CBD=90-\alpha\\m\angle BCD=\alpha\\\\m\angle CDA=90\\m\angle CAD=\alpha\\m\angle ACD=90-\alpha

Step-by-step explanation:

The triangles are drawn below.

CD is perpendicular to AB as CD is height to AB.

Therefore, angles m\angle CDB=m\angle CDA=90°

So, triangles ΔCBD and ΔCAD are right angled triangles.

Now, from the right angled triangle ΔABC,

m\angle A+m\angle B =90\\\alpha+m\angle B=90\\m\angle B=90-\alpha

From ΔCBD,

m\angle CBD is same as m\angle B.

So, m\angle CBD=90-\alpha

m\angle BCD+m\angle BDC =90\\m\angle BCD+90-\alpha=90\\m\angle BCD=\alpha

Now, from ΔCAD,

m\angle CAD is same as m\angle A

So, m\angle CAD=\alpha

m\angle CAD+m\angle ACD =90\\\alpha+m\angle ACD=90\\m\angle ACD=90-\alpha

Hence, the unknown angles of both the triangles are:

m\angle CDB=90\\m\angle CBD=90-\alpha\\m\angle BCD=\alpha\\\\m\angle CDA=90\\m\angle CAD=\alpha\\m\angle ACD=90-\alpha

5 0
2 years ago
muhammad, a shipping and receiving clerk uses 1 yard, 2 feet and 4 inches Of twine to wrap each carton he packs. he has to pack
antiseptic1488 [7]

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 =[(1*36)+(2*12)+4]inches = 64 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>  =(64*29) inches= 1856 inches.

Now....

1856 inches

=\frac{1856}{36} yards \\ \\= 51 \frac{5}{9} yards \\ \\= 51 yards+(\frac{5}{9}*36)inches \\ \\= 51 yards, 20 inches \\ \\= 51 yards, (12+8)inches \\ \\=51 yards, 1 foot, 8 inches.

Thus, he will need 51 yards, 1 foot and 8 inches twine to wrap 29 cartons.

8 0
3 years ago
How to find the area of a sector with a sector angle of 72 degrees and a radius of 14 cm​
skad [1K]

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

7 0
1 year ago
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