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Gnoma [55]
3 years ago
14

In a triangle, one of the angle measures 70°

Mathematics
1 answer:
Tanya [424]3 years ago
4 0

Answer:

the two angles are 55° each

Step-by-step explanation:

Let the two equal angles be y each

Therefore,

70° + y + y = 180°

Collect like terms

2y = 180 — 70

2y = 110

Divide both side by the coefficient of y i.e 2

y = 110/2

y = 55°

Therefore, the two angles are 55° each

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Olivia has 48 slices of ham and 36 slices of cheese to make sandwiches.
serious [3.7K]

The greatest number of sandwiches that Olivia can make is 12.

3 slices of cheese will be on each sandwich

<u>Solution:</u>

Given that, Olivia has 48 slices of ham and 36 slices of cheese to make sandwiches.  

We have to find what is the greatest number of sandwiches that Olivia can make? And how many slices of cheese will be on each sandwich?

Let the number of sandwiches be "n"

Then, number of slices of ham per sandwich =\frac{48}{n}

And, number of slices of cheese per sandwich =\frac{36}{n}

As slices can’t be fractions, "n" should be a factor of 48 and 36. So now let us find H.C.F of 48 and 36 as we want greatest number of sandwiches that Olivia can make.

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, and 36

The common factors are those which appear on both factors of 48 and 36 are 1, 2, 4, 6, and 12.

Out of these common factors, 12 is the greatest

So, H.C.F of 48 and 36 is 12, which means n = 12

Then, number of cheese slices per sandwich =\frac{36}{12}=3

Hence, 12 sandwiches can be made with 3 slices of cheese per sandwich.

8 0
3 years ago
Guys what is the log2(56/9)<br> Pls pls pls pls help
Charra [1.4K]
Answer:
3+log2(7/9)
Explanation:
8 0
3 years ago
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2. How many miles the trucks will have to drive for the costs of the trucks to be equal?
viktelen [127]

Step-by-step explanation:

kayo na po bahala mag calculate

5 0
2 years ago
Draw a Triangle whose tangent is 2. Find the values of the other five trigonometric functions
fenix001 [56]

Answer:

you gonna answer it

Step-by-step explanation:

Because that's yours book

4 0
3 years ago
98 points! Easy! Show work! PART 2!
irakobra [83]
Hey there :)

14) The perimeter of this square is given as 28a²b⁴ 
The perimeter formula of a square is P = 4 x side
28a²b⁴ = 4s
\frac{28a^2b^4}{4} = \frac{4s}{4}
7a²b⁴ = s

Area formula of a square is:
A = side²
   = ( 7a²b⁴)²
   = 49a⁴b⁸

15) \frac{(r^2st^3)(20r^-^3s^-^1t^-^4)}{(-4r^-^2t)^3}
Let's deal with it one by one and combine at the end

Numerator = ( r²st³ )( 20r⁻³s⁻¹t⁻⁴ )
The product of power rule applies here
                   = ( 20r⁻¹t⁻¹ ) → { r²⁺⁽⁻³⁾s¹⁻¹t³⁺⁽⁻⁴⁾ }
 
Denominator = ( -4r⁻²t )³
The power of a product rule applies here
                       = ( -64r⁻⁶t³ ) → ((-4)³(r⁻²ˣ³)(t)³)

Combine = \frac{20r^-^1t^-^1}{-64r^-^6t^3}
Quotient of powers rule apply here 

Lets separate again: \frac{r^6}{r} = r^5 , \frac{1}{t^3(t)} =  \frac{1}{t^4}

Final = \frac{20r^5}{-64t^4} = -\frac{5r^5}{16t^4}

16) \sqrt[3]{x^4}
The power inside the root will be the numerator and root number will be the denominator 

x^ \frac{4}{3}

17) k^\frac{3}{4}× k^\frac{1}{2} = k^ \frac{3}{8}

The numerator will be the power inside and the denominator will be the root number

\sqrt[8]{x^3}

3 0
3 years ago
Read 2 more answers
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