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❖ 6 + 45 ÷ 3² = 11
Follow order of operations:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
(Note: Multiplication and division can be done in either order as well as addition and subtraction.)
There are no parenthesis in this problem so we skip to exponents. The exponent is 3² which is 3 x 3 = 9.
We then have division. 45 ÷ 9 = 5
Our last step is addition.
Add:
6 + 5 = 11
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6x^2=12x-20
26x=12x-20
14x=-20
x= -1.4285714286
or x= -1.43. simplify to the hundredths place
Answer:
The number pi relates the diameter of a circle to the circumstance.- D.
Answer:B: 36°
Step-by-step explanation:
We know that ∆ABC is isoceles, making (angle)<ABC and <BCA congruent because base angles of isoceles triangles are congruent.
Because we have parallel lines, we can look for alternate interior angle pairs. <BCA is congruent to <DAC because they're alternate interior angles.
If <BCA is x then so is <ABC.
Since triangles add up to 180° we can add all of the angles (3x+x+x) and set it equal to 180.
3x+x+x=180
5x=180
x=36
If we were looking for <BAC we would plug that back in and solve, but we're looking for <BCA which is equal to x, therefore m<BCA=36°
Answer: 9.3 ×
Step-by-step explanation: To write a number in scientific notation, first write a decimal point in the number so that there is only one digit to the left of the decimal point.
In this case, we can write 93,000,000 as 9.3000000 and notice that there is only one digit to the left of the decimal point.
Next, we count the number of places the decimal point would need to move to get back to the original number which is 93,000,000.
Since we will need to move the decimal point seven places to the left, we have an exponent of positive 7. Our exponent will be positive because we need to move the decimal point seven places to the right. Now, we can write our number in scientific notation.
9.3 ×