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3 years ago

Fun two consecutive integers whose product is 4 less than the square of the smaller number

Mathematics

1 answer:

Rina8888 [55]3 years ago

6 0

Answer:

Step-by-step explanation:

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The measure of ∠DAB equals 105º. The measure of ∠ACB equals 35º. What is m∠ABC?

Leni [432]

1) We know that <DAB and <BAC are supplementary angles according to the exterior angle theorem, so we set up the following equation and solve:

105+x=180

x=75

2) Since we have the angles for <BAC and <ABC and a triangle has its total angles added up to 180, we can set up an equation to find <ABC and solve:

75+35+x=180

110+x=180

x=70

So the m<ABC is 70 degrees.

Hope this helped! Let me know if you need me to clarify anything.

8 0

3 years ago

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Please help! I need this fast!

Naily [24]

Answer:

E. (6,4

F. (4,6)

G. (3,0)

H. (0,3)

Step-by-step explanation:

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3 years ago

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Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard

Bumek [7]

Answer:

$V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

The domain for x is all real numbers greater than zero and less than 5 com

Step-by-step explanation:

The question is

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

$V=LWH$

we have

$L=(10-2x)\ cm$

$W=(10-2x)\ cm$

$H=x)\ cm$

substitute

$V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

Find the domain for x

we know that

$(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm$

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

$V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

5 0

3 years ago

A certain type of nuts are on sale at 0.35 per pound.Tamara buys 0.2 pound of nuts.How much will the nuts cost?

scoray [572]

$cost=\ amount\ of\ nuts*cost\ per\ pound\\\\
cost=0.35*0.2=0.7\\\\
Nuts\ cost\ 0.7.$

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4 years ago

PLEASE HELP ASAP!!!!

QveST [7]

Answer:

x=Sin-1(0.470584)

x=28.1°

Step-by-step explanation:

Sin90°/17 =Sin x°/8

0.058823 = Sin x°/8

8(0.058823)=Sin x°

x°=Sin-1(0.470584)

x=28.1°

8 0

3 years ago