Answer: hello your question is incomplete attached below is the complete question
answer :
a) 
( option D )
b) A = 1/2 (6)(3) ( option B )
c) Area of shaded region = 9
Step-by-step explanation:
<u>a) Using integration with respect to x </u>
Area = 
( note a = 10 )
= y^2/2 - 4y |⁷₄ + 10y - y^2/2 |¹⁰₇
= 33/2 - 12 + 30 - 51/2 = 9
hence the best integral from the options attached is option D
= [ 10x - x^2 /2 - x^2/2 - 9x ] ³₀
= 30 - 9/2 - 9/2 - 12 = 9
<u>b) Using Geometry </u>
Area = 1/2 * base * height
= 1/2 * 6 * 3
= 9
Answer:
yes
yes
no
Step-by-step explanation:
same sides+same angles= congruence
Base in your question the family plan cost is $55 per month so it means it has a minimum of payment of $55 per month. The variable X is represented as the number of cell phone minutes is used above the plan and Y is the amount of megabytes used above the plan. The best answer to your question is letter C.
The distance around the perimeter would be 120 ft.
<h3 /><h3>What is perimeter?</h3>
Perimeter is the distance around the edge of a shape.
The complete question is
A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the middle of the garden measures 30 feet.
A rhombus is shown. Lines are drawn from each point to the opposite point to form 4 right triangles. The other 2 angle measures are 30 and 60 degrees. The base length of each triangle is 15 feet.
What is the distance around the perimeter of the garden?
let AE is the half of the diagonal AC.
AC = 30 ft.
So, AE = ½ * 30
AE = 15 ft
Now, using trigonometry
sin 30 = 15/AD
0.5= 15/AD
AD= 30 ft
Hence, distance around the perimeter would be: AD+AD+AD+AD=
=30 ft + 30 ft + 30 ft + 30 ft
= 120 ft.
Learn more about this concept here:
brainly.com/question/16400817
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Answer:
x-0.33x = 0.67x
Step-by-step explanation:
Given : A new soup recipe contains 33% less sodium per serving than the old soup recipe.
The old soup recipe contained x milligrams of sodium per serving.
To Find: Which of the following expressions could represent the amount of sodium per serving, in milligrams, in the new soup recipe
Solution :
Since we are given that old recipe contains x milligrams of sodium per serving
And new recipe contains 33% less sodium per serving than the old soup recipe.
So, 33%of x = 0.33x
Since new recipe contains 33% less sodium than old recipe:
⇒x-0.33x
or
⇒(1-0.33)x
⇒0.67x
Thus expressions which could represent the amount of sodium per serving, in milligrams, in the new soup recipe :
x-0.33x or 0.67x
