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3 years ago

What is the supplement of ∠A if m∠A = 78°?

Mathematics

2 answers:

podryga [215]3 years ago

6 0

Answer:

The supplement is 102

Step-by-step explanation:

Supplementary angles add to 180 degrees

Let x be the supplement

x+ 78 = 180

subtract 78 from each side

x+78-78 = 180-78

x = 102

Gre4nikov [31]3 years ago

6 0

Answer:

102 degrees

Step-by-step explanation:

/_A + 78 = 180

/_A = (180 - 78) degrees

= 102 degrees

Hope this helps!

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(3v^4 - 2) - (7v^4 + 6)

Lera25 [3.4K]

So firstly, you want to foil - (7v^4 + 6) [Think of the minus sign as -1]: $3v^4 - 2 - 7v^4 - 6$

Next, combine like terms and your answer will be: $-4v^4-8$

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3 years ago

Pyramid A is a right square pyramid with a height of 100 m and a square base with a perimeter of 356 m. Pyramid B has a square b

Tomtit [17]

Answer:

The volume of pyramid B is 3.5 times greater than the volume of pyramid A

Step-by-step explanation:

The area of squared based a pyramid is given by:

$Area = \frac{1}{3}*s*s*h$

Where 's' the length of the side of the base and 'h' is the height.

For pyramid A:

h= 100 m

s= 356/4 = 89 m

$Area_A = \frac{1}{3}*89*89*100\\Area_A=264,033.33\ m^3$

For pyramid B:

h= 215 m

s= 456/4 = 114 m

$Area_B = \frac{1}{3}*114*114*215\\Area_B=931,380\ m^3$

Pyramid B has a greater volume and the ratio between volumes is:

$\frac{Area_B}{Area_A} =\frac{931,380}{264,033.33}\\\frac{Area_B}{Area_A} =3.5$

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4 years ago

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3 years ago

Read 2 more answers

A girl is twice as old as her sister. Five years hence, the product of their ages (in years) will be 375. Find their present age

Orlov [11]

Answer: girls=20, sister=10

Step-by-step explanation:

Let x = the girl's sister's age (present)

Let 2x= the girl's age (present)

-------------------------------------------------------------

According to the question

(x+5)(2x+5)=375

Expand parentheses by FOIL (First Outer Inner Last)

2x²+5x+10x+25=375

Combine like term (5x and 10x)

2x²+15x+25=375

Subtract 375 on both sides

2x²+15x+25-375=375-375

2x²+15x-350=0

Find the factors (cross factor)

(x-10)(x+17.5)=0

x=10 or x=-17.5 (rej) ⇔ the age can't be negative

the girl's age is 20, and her sister's age is 10.

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3 years ago

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Yuliya22 [10]

Answer:

children is 48 and adults is 8.25 and children is 90

Step-by-step explanation:

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