Answer:

Step-by-step explanation:
STEP 1:
2/3 + 7/10 = ?
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(2/3, 7/10) = 30
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
*
+
= ?
Complete the multiplication and the equation becomes

The two fractions now have like denominators so you can add the numerators.
Then:

This fraction cannot be reduced.
The fraction 41/30
is the same as
41 divided by 30
Convert to a mixed number using
long division for 41 ÷ 30 = 1R11, so
41/30 = 1 11/30
Therefore:
2/3+7/10= 1 11/30
STEP 2:
41/30 + -2/3
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(41/30, -2/3) = 30
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

The two fractions now have like denominators so you can add the numerators.
Then:

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 21 and 30 using
GCF(21,30) = 3

Therefore:
|
Answer:
The one that does not belong has a different number of dimensions.
Step-by-step explanation:
<u>Given list consists of:</u>
- a line segment (AB)
- a plane (CDE)
- a line (FG)
- a ray (HI)
Three of them have one dimension but the plane has two dimensions,
therefore<u> </u>the plane in the list does not belong with the other three.
<u>So correct answer choice is:</u>
- The one that does not belong has a different number of dimensions.
Answer:
2839.4 meters
Step-by-step explanation:
Given that:
Altitude = 1200 m
Using trigonometry :
The distance from point P to the airplane :
Using trigonometric relation :
Sin θ = opposite / hypotenus
Sin θ = altitude / x
Sin θ = 1200 m / x
Sin 25 = 1200 / x
0.4226182 = 1200 / x
x = 1200 / 0.4226182
x = 2839.4423
Distance from P to airplane = 2839.4 meters
Answer:
1.85%
Step-by-step explanation:
→ Find the difference between the actual and predicted
5.5 - 5.4 = 0.1
→ Divide answer by 5.4
0.1 ÷ 5.4 = 0.01851851851
→ Multiply answer by 100
0.01851851851 × 100 = 1.85%
Answer:
width= x-7
Step-by-step explanation:
l= 8x
Area = l*b
b= 8x^2-56x/8x
b= 8x(x-7)/8x
b= x-7