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2 years ago

Find the value of the cosine for ZA.

Mathematics

1 answer:

baherus [9]2 years ago

5 0

Answer:

C. $\frac{8\sqrt{89}}{89}$

Step-by-step explanation:

Cos A = Adj/Hyp

Reference angle = <A

Adjacent side = 8 ft

Hypotenuse = √(8² + 5²) = √89 (pythagorean theorem)

Thus:

$Cos (A) = \frac{8}{\sqrt{89}}$

Rationalize

$Cos (A) = \frac{8 * \sqrt{89}}{\sqrt{89} * \sqrt{89}}$

$Cos (A) = \frac{8\sqrt{89}}{89}$

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One serving of Gooey Gushers provides 12% of the daily value of vitamin C. Tim ate 312 servings of Gooey Gushers.

Studentka2010 [4]

Answer:

a) Given expression,

12% of 312

Since 100% of 312 = 312

⇒ 10% of 312 = 31.2,

⇒ 1% = 3.12

⇒ 2% = 2 × 3.12 = 6.24

So, 12% of 312 = 10% of 312 + 2% of 312

= 31.2 + 6.24

= 37.44

b) Given,

Total number of servings = 312,

The percentage of vitamin C in each serving = 12%,

Thus, the total amount of the vitamin C in 312 servings = 12% of 312

$=\frac{12\times 312}{100}$

$=\frac{3744}{100}$

= 37.44,

Hence, the question can be asked about the total amount of the vitamin C.

6 0

3 years ago

Help please thanks in advance

Westkost [7]

A) In Part 1 to part 2 the bus had its farthest distance. At part 2 the bus stayed steady time went by. Part 3 to 4 was decreasing distance. part 4 was constant. Then again at part 5 the distance was increasing

B)

1 - increasing

2 - constant

3 - decreasing

4 - constant

5 - increasing

C) Non-linear, because the graph has a curve, for it to be linear it must be a straight line.

Hope this Helps :)

8 0

2 years ago

Help me please it’s due

Temka [501]

Answer:

13.82 in.

Step-by-step explanation:

To find the circumference of a circle, you multiply the diameter by pi ( $\pi$ ):

$(4.4)(\pi )=13.82301$

Rounded to the nearest tenth, 13.82301 is 13.82. Therefore, 13.82 is the answer.

I hope this helps!

8 0

2 years ago

A recipe calls for 3 cups of flour, 2 cups of sugar and 1 cup of milk. Mason is going to use 7 cups of sugars instead. how much

AlexFokin [52]

Answer:

We need to make a conversion for the new recipe. If the regular recipe calls for 2 cups of Sugar, we can make a conversion for the new recipe.

Step-by-step explanation:

Conversion- 2:7= 1:4 (sugar)

2:7 (sugar)

3: x (flour)

1: y (milk)

X= 8 (flour)

Y= 6 (milk)

NEW RECIPE:

3.5 cups of milk

10.5 cups of flour

7 cups Sugar

We found this by seeing the new recipe adds 5 more cups with the original amount :)

5 0

3 years ago

Read 2 more answers

Find the point closest to the origin in the line of intersection of the planes y + 2z = 10 and x + y = 11. The point closest to

Bogdan [553]

Answer with explanation:

The equation of two planes are

1.→y +2 z=10

2.→x+y=11

To find the point of Intersection of two planes

let,→ y=t

→2 z=10 - t

10 -2 z=t

→x=11 -t

11 -x=t

So,Writing equation of line which is intersection of two planes

→ 11 -x = y= 10-2 z=t

$\rightarrow \frac{x-11}{-1}=\frac{y}{1}=\frac{z-5}{\frac{-1}{2}}=t$

---------------------------------(1)

⇒Putting , x=0, y=0 and z=0 in the above equation ,to find the point Closest to Origin which will be

=(11, 0, 10)

6 0

3 years ago