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Amanda [17]
3 years ago
8

1. Do the two triangles have the same size and shape? Justify your answer. Write your answer in the space below.

Mathematics
1 answer:
vitfil [10]3 years ago
7 0
<h2>1. Both triangles have the same shape and size</h2><h3>Both triangles have the same angles and if one side is the same size then both of them are EQUAL.</h3><h3 /><h2>2. Line FG has a length of 5 units</h2><h3>Both triangles are equal, therefore line AC is equal to line FG. AC is 5 units long.</h3><h3 /><h2>3. 23 Degrees</h2><h3>106 + 51 = 157</h3><h3>180 - 157 = 23</h3><h3>The other triangle also has the same angles.</h3>
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Barrett works at an ice cream shop. The function f(x) represents the amount of money Barrett earns per gallon of ice cream, wher
Sliva [168]

The value of f(g(x)) is 6x^{3} +4

Explanation:

The function f(x) is given by

f(x)=2x^{2} +4

The function g(x) is given by

g(x)=\sqrt{3x^{3} }

To determine the value of f(g(x)), let us first substitute the value of g(x).

Thus, we get,

f(g(x))=f(\sqrt{3x^{3} } )

Now, substituting for x=\sqrt{3x^{3} } in the function f(x), we get,

f(g(x))=2(\sqrt{3x^{3} } )^2+4

Simplifying, the expression, we get,

f(g(x))=2({3x^{3} } )+4

Multiplying the term within the bracket, we have,

f(g(x))=6x^{3} +4

Thus, the value of f(g(x)) is 6x^{3} +4

Hence, the value of f(g(x)) represents the total amount of money that Barrett earns for working x hours.

4 0
3 years ago
Multiply 60 times 7 410, 420, 67, or 430?
DochEvi [55]

Answer:

420

Step-by-step explanation:

4 0
2 years ago
Nolan has some nickels and some dimes. He has no more than 19 coins worth no less than $1.30 combined. If Nolan has 5 nickels, d
Allushta [10]

Answer:

number of dimes 11 to 14

Step-by-step explanation:

given data

coin = 19

worth no less = $1.30

Nolan nickles = 5

solution

we convert 5 cent to dollars, it will be

5÷100 = $0.05

and

dime is worth 10 cents

so it will be 10 ÷ 100 = $0.1

so we consider here x as the number when nickels.

and we consider y as the number of dimes.

so here we can say

x + y ≤ 19      ..........................1

as here no less than $1.30 combined.

so

0.05 x + 0.1 y ≥ 1.3       ......................2

and

when Nolan has 5 nickels

put x = 5 in eq 1

5 + y ≤ 19  

y ≤ 19 - 5

y ≤ 14

and

now we put x = 5 in eq 2

0.05 × 5 + 0.1y ≥ 1.3

0.25 + 0.1y ≥ 1.3

0.1y ≥ 1.3 - 0.25

0.1y ≥ 1.05

y ≥ 10.5

so all possible values for the number of dimes 11 to 14

7 0
3 years ago
A shop sells pairs of trainers for £68 each. They make a percentage profit of 70% on each pair.
Klio2033 [76]

Answer:

47.6 euros

Step-by-step explanation:

68 x .70 = 47.6

.70 = 70%

70% of 68

of means multiply

You turn the percent into a decimal and multiply

5 0
2 years ago
if the diameter of a cone is 16cm and the height is 15cm what is the volume? I've tried the formula v=1/3*3.14*r^2*h but the ans
Alisiya [41]

Answer:

V= volume of cone A=Ah A= πr2

A= area of base 3

H= height

V= (3.1416)(16)(15) 3.1416x16x15= 753.9

3

V= 753.9 753.9÷3= 251.3 cu. in

3

Volume of the cone is 251.3 cu. in

I hope this helps you. Good luck!

5 0
2 years ago
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