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inn [45]
3 years ago
5

What value of theta makes sin(θ)=0.747 rounded to 2 decimal places

Mathematics
1 answer:
Zigmanuir [339]3 years ago
6 0

Answer:

\theta\approx48.33^\circ

Step-by-step explanation:

\theta=sin^{-1}(0.747)\approx48.33^\circ

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In the equation y = 39x + 50represents the number of people at a holiday dinner and y represents the total cost of
kkurt [141]

Answer:

The correct answer is - 12.

Step-by-step explanation:

Given:

Total number of people = y = 39x+50

Total amount spent y = 518

Solution:

The equation for the number of people who attended the dinner

y = 39x+50

The cost of dinner is equally divided by number of people =

then, 518 = y

placing value, 518 = 39x+50

x = (518-50)/39

= 468/39

= 12

Then number of people attended the dinner = 12

6 0
3 years ago
COULD SOMEONE WRITE FORMAT THEN WRITE EQUIVALENT FRACTION AND MIXED NUMBER 11.09 21.06 0.06 0.50 6.15 AND 7.41
Igoryamba
I think you mean write in word format so yea

11.09
"Eleven and 9 hundredths"
To convert decimals to fractions first put the decimal over 1, multiply by ten for every number after the decimal point and simplify.

(11.09/1)(10)(10) *Because there are 2 numbers after the . 0 and 9*

1109/100
This will be the most simplified you can get it!
As a mixed number:
11 9/100

Follow these steps for the rest!

21.06
"twenty one and six thousandths"
1053/50
21 3/50

0.06
"six thousandths" or
"zero and six thousandths"
3/50

0.50
"fifty thousandths" or "five tenths" since 0.50=0.5
1/2


6.15
"six and fifteen thousandths"
123/20
6 3/20

7.41
"seven and fourty one thousandths"
741/100
7 41/100

I HOPE THIS HELPS
7 0
3 years ago
Read 2 more answers
PetSmart.com sold the following varieties of dog food in June 2003.
aivan3 [116]

Let x  be the number of bags of Nature's Recipe Venison Meal & Rice Canine 20 percent protein, y be the number of bags of Nutro Max Natural Dog Food 27 percent protein and z be the number of bags of PetSmart Premier Oven Baked Lamb 25 percent protein a dog breeder buys. He  wants to make 300 pounds of a mix. Then

20x+17.5y+30z=300.

Now

  • in 20x pounds of Nature's Recipe Venison Meal & Rice Canine 20 percent protein is 0.2·20x=4x pounds of protein;
  • in 17.5y pounds of Nutro Max Natural Dog Food 27 percent protein is 0.27·17.5y=4.725y pounds of protein;
  • in 30z pounds of PetSmart Premier Oven Baked Lamb 25 percent protein is 0.25·30z=7.5z pounds of protein;
  • in 300 pounds of mix containing 22 percent protein is 0.22·300=66 pounds of protein.

Then 4x+4.725y+7.5z=66.

You get a system

\left\{\begin{array}{l}20x+17.5y+30z=300\\4x+4.725y+7.5z=66.\end{array}\right.

From the first equation z=10-\dfrac{2}{3}x-\dfrac{7}{12}y. Substitute it into the second equation:

4x+4.725y+7.5(10-\dfrac{2}{3}x-\dfrac{7}{12}y)=66.

Simplify it:

-x+\dfrac{7}{20}y=-9,\\ \\ 20x-7y=180.

y must be divided by 20, then

  • y=0, x=9, z=10-6=4;
  • y=20, x=16, z is not a whole number;
  • y=40, x=23,  z is not a whole number;
  • y=60, x=30, z=10-20-35<0;
  • thus, all other possible z will be <0.

Answer: 9 bags with 1st mix, 0 bags with 2nd mix and 4 bags with 3rd mix.

5 0
3 years ago
) Fred buys a video game disk for $4. There was a discount of 20%.What is<br> the sales price?
dolphi86 [110]

Answer:

so 4 dollars is discount

100-20=80 so

4 dollars =80%

1 dollar=20%

80+20=100

4+1=5

original price=$5

6 0
3 years ago
Read 2 more answers
Square ABCD was translated using the rule (x, y) → (x – 4, y + 15) to form A'B'C'D'. What are the coordinates of point D in the
Vitek1552 [10]

Answer:

D = (13, - 23 )

Step-by-step explanation:

Given the translation rule

(x, y ) → (x - 4, y + 15 )

To go in the reverse direction, that is image to original, then, reverse the operations in the translation rule.

(x , y ) → (x + 4, y - 15 ) , thus

D'(9, - 8 ) → D(9 + 4, - 8 - 15 ) → D(13, - 23 )

3 0
3 years ago
Read 2 more answers
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