Answer:
324
Step-by-step explanation:
Answer: 313.1 feet
Step-by-step explanation:
\tan 82=\frac{x}{44}
tan82=
44
x
44\tan 82=x
44tan82=x
x=313.0763\approx \mathbf{313.1}\text{ feet}
x=313.0763≈313.1 feet
Answer:
ab = 2
Step-by-step explanation:
Given equations
ax² +ax + 2 = 0
x² + x + b = 0
root of both the equation
x= 1
then we can plug in x = 1 in both the equation
ax² +ax + 2 = 0 x² + x + b = 0
a*1² +a*1 + 2 = 0 1² + 1 + b = 0
a +a + 2 = 0 1 + 1 + b = 0
2a + 2 = 0 2 + b = 0
2a = - 2 b = -2
a = -2/2 = -1
Thus,
a = -1
b = -2
a*b = -1*-2 = 2
ab = 2
Answer:
5 lb 11⅓ oz
Step-by-step explanation:
First, convert the weight at birth from pound and ounces to just ounces.
8 lb × 16 oz/lb + 9 oz = 137 oz
The baby doubles its weight in the first six months. That means its weight increases by 137 oz over 6 months. To find how much weight was gained in 4 months, write a proportion.
137 / 6 = x / 4
6x = 548
x = 91 ⅓
The baby gained 91 ⅓ oz in 4 months, or 5 lb 11⅓ oz.
A vertical pole(AB) 6 feet long casts a shadow(CB) 55 inches long as shown in the attached image. Since the angle of elevation of sun is 
. We hav to find the value of .
Firstly, we will change the dimensions of pole(in feet) to the dimension of shadow( in inches) . So, that the dimensions of pole and shadow are same.
Since, 1 feet = 12 inches.
6 feet = 
inches.
Now, let us consider the triangle ABC in the attached image,
We have to find
= 
= 1.309
