Answer:
Part 1) 0.669
Part 2) x=23.78 cm
Step-by-step explanation:
Part 1) we have
cos(48°)
Using a calculator
cos(48°)=0.66913
Round to the nearest thousandth
0.66913=0.669
Part 2) we know that
In the right triangle of the figure
The cosine of angle of 18 degrees is equal to divide the adjacent side to the angle of 18 degrees by the hypotenuse of the right triangle
so
cos(18°)=x/25
x=(25)cos(18°)=23.78 cm
Answer:
9 dollars
Step-by-step explanation:
Hello you did not provide the options for me to select from. But I have gone ahead to calculate how much jessica would pay for her cookie dough.
I used this formula to arrive at this answer.
Cost of dough = quantity x price per ounce
Quantity = 6 ounces
Price per ounce = 1.5 dollars
Cost of dough = 6 x 1.50
= $9
Jessica is going to pay 9 dollars for her cookie dough
Answer:
34.5 units²
Step-by-step explanation:
There are methods for finding the area of a polygon using arithmetic on the coordinates. Here, it is probably more convenient to cut the figure into two triangles and a trapezoid and figure the areas of those.
A line from (-5, 1) to (1, 1) will create a triangle above that line with base 6 and height 3. Its area will be ...
A = 1/2·b·h = 1/2·6·3 = 9 . . . units²
Similarly, a line from (1, 1) to (1, -2) will create a triangle to the right of that line with base 3 and height 4. Its area will be ...
A = 1/2·b·h = 1/2·3·4 = 6 . . . units²
The remaining trapezoid has top base 6, bottom base 7, and a height of 3. Its area will be ...
A = 1/2·(b1+b2)·h = 1/2·(6 +7)·3 = 39/2 = 19.5 . . . units²
Then the total area of the figure is ...
(9 + 6 + 19.5) units² = 34.5 units²
5v -

=

Multiply both sides by 10
50v - 4 =

Divide the fraction
50v - 4 = 8 Add 4 to both sides
50v = 12 Divide both sides by 50
v =

SImplify the fraction
v =
1 cup : 2 cups of brown sugar
1:2
4 batches of cookies, so multiply both numbers by 4.
4:8
Answer: 4 to 8