Answer:
1. 2^x =64 is option number 4. 6
2. x= (2/5)^3 is option number 1. 8/125
3. 3•(3^4) = 3^x is option number 3. 5
4. 16/25 = x^2 is option number 2. 4/5
Answer:
16/5 teaspoons
Step-by-step explanation:
1/4 cups of flour uses 4/15 teaspoon so 4/15 x 4 is 16/5
Answer: 7 3/4 - 2/25 = 767/100 = 7 67/100 = 7.67
Step-by-step explanation:
Conversion a mixed number 7 3/4
to a improper fraction: 7 3/4 = 7 3/4 = 7 · 4 + 3/4= 28 + 3/4 = 31/4
To find a new numerator:
a) Multiply the whole number 7 by the denominator 4. Whole number 7 equally 7 * 4/4 = 28/4
b) Add the answer from previous step 28 to the numerator 3. New numerator is 28 + 3 = 31
c) Write a previous answer (new numerator 31) over the denominator 4.
Seven and three quarters is thirty-one quarters
Subtract: 31/4 - 2/25= 31 · 25/4 · 25 - 2 · 4/25 · 4 = 775/100 - 8/100 = 775 - 8/
100 = 767/100
Answer:
16√3 cm²
Step-by-step explanation:
The perimeter of a triangle is the sum of its all three sides. Since this is an equilateral triangle, all sides are equal.
Let's consider one side of the triangle to be 'x'
Givent that, the perimeter is 24cm,
The equation should be x + x + x = 24
⇒3x = 24
∴ x = 8 cm
To find the area of the triangle, we need to find the height, and for that, we can use trigonometry.
Since it is an equilateral triangle, all angles are exact 60°.
let's draw a line and mark it as 'h'.
we can use sine formula to find out the opposite i.e. h
sin∅ = opposite ÷ hypotaneous
sin 60° = h ÷ 8
h = 8 sin 60°
h= 4√3
Now, let's find the area
Area = 1/2 × base × height
Area = 1/2 × 8 × 4√3
area= 16√3 cm²
Answer:
An undefined term is a term that can't be defined so easily. There really isn't a definition to define such terms. Consider the word "the." We use the word "the" all of the time, but do we really know how to define the word "the?" "Am" is another word that can't be defined so easily.