Answer:
Step-by-step explanation:
you know the total angle is 180° from A to D
and you know that ∠BEC is 90°
also you are told that ∠CED is 18°
and that ∠AEB is 4x°
so just put that all together
180=90 + 18 +4x
now solve for X
180-90-18=4x
72=4x
18 = x
so now you know X
now solve ∠AEB
4(18) = 72°
∠AEB= 72°
:)
Answer:
Toby wants to find the volume of a solid toy soldier.He fills a rectangular container 8 cm long, 6 cm wide,and 10 cm high with water to a depth of 4 cm. Toby totally submerges the toy soldier in the water. The height of the water with the submerged toy soldier is 6.6 cm. Which of the following is closest to the volume, in cubic centimeters, of the toy soldier?
A. 125 B. 156 C. 192 D. 208 E.317
The volume of the toy is 125 cubic cm ,option A is the closest answer.
Step-by-step explanation:
Given:
A rectangular container .
Length of the container =8 cm
Width of the container = 6 cm
Height of the container when water is filled =
= 4 cm
Height of the container when the toy is submerged =
=6.6 cm
Volume of the toy = Volume of the container with the toy - Volume of the container (with water)
Volume of the toy = 
= 
= 
= 
=
cubic centimeters.
So,the closest value to the volume of the toy is 125 cubic centimeters.
Set up trig ratio using tangent.
Tan theta = opp/adj
Tan theta = 500/800
Tan^-1 (500/800) = 32 degrees
Rational expressions are those that have fractional terms. We state restrictions because it may cause the equation to be undefined in some values of x. The most common restriction for rational expressions is N/0. This means any number divided by zero is undefined.
<h3>What is rational expressions and examples?</h3>
A rational expression is nothing more than a fraction in which the numerator and/or the denominator are polynomials. Here are some examples of rational expressions.
To find the restrictions on a rational function, find the values of the variable that make the denominator equal 0.
Learn more about rational expressions here:
brainly.com/question/9353162