To answer this question, we would have to use algebra.
Let the unknown number be A.
Now, as per the question, we have the equation ->
2A - 7 > 5 + A
==> 2A - A > 5+7
==> A > 12
So, the final answer is --> A > 12
Answer:
6
Step-by-step explanation:
Answer: a) Yes, there is enough fance
b) 58.1° and 47.9°
c) The city will not approve, because 1/3 of the area is just 2220.5ft²
Step-by-step explanation:
a) using law of cosines: x is the side we do not know.
x² = 126² + 110² - 2.126.110.cos74°
x² = 20335.3
x = 142.6 ft
So 150 > 142.6, there is enough fance
b) using law of sine:
sin 74/ 142.6 = sinα/126 = sinβ/110
sin 74/ 142.6 = sinα/126
0.006741 = sinα/126
sinα = 0.849
α = sin⁻¹(0.849)
α = 58.1°
sin 74/ 142.6 = sinβ/110
sin 74/ 142.6 = sinβ/110
0.006741 = sinβ/110
sinβ = 0.741
β = sin⁻¹(0.741)
β = 47.9°
Checking: 74+58.1+47.9 = 180° ok
c) Using Heron A² = p(p-a)(p-b)(p-c)
p = a+b+c/2
p=126+110+142.6/2
p=189.3
A² = 189.3(189.3-126)(189.3-110)(189.3-142.6)
A = 6661.5 ft²
1/3 A = 2220.5
So 2300 > 2220.5. The area you want to build is bigger than the area available.
The city will not approve
Answer:
1 inch = 80 miles
Step-by-step explanation:
4 and three quarters = 4.75
380 divided by 4.75 = 80
Double check and multiply 4.75x80
4.75 x 80 = 380
Answer:
No, Dale Isn't correct because 3:5 is greater than 2:10
Step-by-step explanation:
3:5 and 2:10 is the same as in
and 
First Find the least common denominator or LCM of the two denominators:
LCM of 5 and 10 is 10
Next, find the equivalent fraction of both fractional numbers with denominator 10
For the 1st fraction, since 5 × 2 = 10,

Likewise, for the 2nd fraction, since 10 × 1 = 10,

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

Hence,
is <u>Greater than </u>
Hence, 3:5 is <u>Greater than </u>2:10