Since they are similar, they have equal angles which means the angles of Q are 57, 41, and 82
Answer:
=8 oats to 1 flaxseed
= 4 oats to 1 quinoa
= 3 oats to 1 soy protein
Step-by-step explanation:
given
2 cups of oats
1/4 cup of flaxseed
1/2 cup of quinoa
2/3cup of soy protein
the ratios for the amount of oats to the amount of each of other grain =
2 cups of oats : 1/4 cup of flaxseed
=2 : 1/4
=2 / 0.25
=8 : 1
= 8 oats to 1 flaxseed
2 cups of oats : 1/2 cup of quinoa
= 2 : 1/2
= 2 : 0.5
= 4 : 1
= 4 oats to 1 quinoa
2 cups of oats : 2/3cup of soy protein
= 2 : 2/3
= 2 : 0.667
= 3 : 1
= 3 oats to 1 soy protein
To solve this problem you must apply the proccedure shown below:
1. You have that the the <span>archway is modeled by the equation y=-2x^2+8x and the angle mentioned in the problem is defined by the equation x−2.23y+10.34=0.
</span>
2. Therefore, you must susbtitute y=-2x^2+8x into x−2.23y+10.34=0, as below:
x−2.23(-2x^2+8x)+10.34=0
3. When you apply the distributive property, you obtain:
x−2.23(-2x^2+8x)+10.34=0
x+4.46x^2-17.84x+10.34=0
4.46x^2-16.84x+10.34=0
4. When you solve the quadratic equation, you obtain:
x=3 units
Therefore, the answer is the option D: D. 3 units.
Answer:
16 feet
Step-by-step explanation:
As said in the problem statement, the angles between the top of the house, the mirror, and the ground and between Sarah's eyes, the mirror, and the ground are congruent.
We also know that Sarah and the house are perpendicular to the ground.
So if we draw a triangle from the top of the house, to the mirror, to the bottom of the house, and another triangle from Sarah's eyes, to the mirror, to Sarah's feet, we get two triangles that have the same angles. Therefore, the triangles are similar, and we can write a proportion:
4 / 5 = h / 20
h = 16
The house is 16 feet tall.
