Answer:
<u>The altitude or height of the triangle is 6 meters.</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Area of a triangle = 60 m²
Base = 20 m
2. What is the altitude (h) of the triangle?
Let's recall that the formula of the area of a triangle is:
Area = (Base * Height)/2
Replacing with the real values, we have:
60 = (20 * Height)/2
60 * 2 = (20 * Height) (Multiplying by 2 at both sides)
120 = 20 Height
Height = 120/20 = 6 meters
<u>The altitude or height of the triangle is 6 meters.</u>
Answer:
$6018.15
Step-by-step explanation:
"is" number always goes on TOP "of" number.
"is" number is 79 1/2%
"of" number is $7570
<em>79 1</em><em>/</em><em>2</em><em> </em><em>%</em><em> </em><em>/</em><em> </em><em>$</em><em>7570</em><em> </em><em>*</em><em> </em><em>100</em><em> </em><em>=</em><em> </em><em>$</em><em>6018.15</em><em> </em>
<em>To</em><em> </em><em>find</em><em> </em><em>out</em><em> </em><em>if</em><em> </em><em>the</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>correct</em><em> </em><em>:</em>
<em>6018.15</em><em> </em><em>/</em><em> </em><em>7570</em><em> </em><em>*</em><em> </em><em>100</em><em> </em><em>=</em><em> </em><em>79.12</em><em>%</em>
The formula used for calculating the time is:
t = d / v
where t is time, d is distance and v is velocity
We know that the difference in the two times is 3 hours, therefore:
d / 65 – d / 130 = 3
Calculating for d:
d = 30 / (1/65 – 1/130)
<span>d = 3900 miles</span>
Answer:
D. 70°
Step-by-step explanation:
Given:
m<DGB = 35°
m<CGF = 75°
Required:
m<AGE
SOLUTION:
m<EGD = m<CGF (vertical angles are congruent)
m<EGD = 75°
m<AGE + m<EGD + m<DGB = 180° (angles on a straight line)
m<AGE + 75° + 35° = 180° (substitution)
m<AGE + 110° = 180°
Subtract 110 from each side of the equation
m<AGE = 180° - 110°
m<AGE = 70°
Answer:
x=12
Step-by-step explanation:
5x+4+64+52=180
We move all terms to the left:
5x+4+64+52-(180)=0
We add all the numbers together, and all the variables
5x-60=0
We move all terms containing x to the left, all other terms to the right
5x=60
x=60/5
x=12