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alekssr [168]
3 years ago
10

Please answer it now in two minutes

Mathematics
2 answers:
kari74 [83]3 years ago
8 0

Answer:

v = 25.98

Step-by-step explanation:

You could do this a number of ways. Some are much longer than others. The shortest way is to use the tangent.

Formula

Tan(theta) = opposite / adjacent

Givens

Theta = 30o

Opposite = 15 km

Adjacent = x

Solution

tan(30) = 15 / v                       Multiply both sides by v

v*tan(30) = 15                         Divide by tan(30)

v = 15/tan(30)

tan(30) = 0.5774

v = 15 / 0.5774

v = 25.98

melamori03 [73]3 years ago
7 0

Answer:

15√3

Step-by-step explanation:

This is a 30-60-90 triangle, so in order to solve for v, we can multiply the short leg by √3, which we will get 15√3.

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The number 312 lies between the perfect cubes
dusya [7]

Answer:

The number 312 lies between the perfect cubes 216 and 343.

So the cube root of 312 lies between the number 6 and 7.

This means that the cube root of 312 is an irrational number because it is not a perfect cube root.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
vivado [14]

Answer:

1. 2507.034 g

2. 1243mg

   0.001243kg

   1,243,000 mcg

3. 162.5g

Step-by-step explanation:

1. First of all we need to convert 30mg and 2.5kg to gram.

⇒ 1 gram = 1000 milligrams

         x     =  35mg  

⇒ 1000mg(x) = 35mg

⇒ x = <u>35mg</u>    =   <u>35</u>   =  0.035g

        1000mg    1000

Next we convert 2.5kg to gm.

⇒ 1 kilogram = 1000g

     2.5kg   =   x  

(We then criss cross)

⇒ x = <u>2.5kg × 1000g</u> = <u>2500g</u>  = 2500g

                 1kg                    1

Now that we converted them all to gram, we will add them.

⇒ 30mg + 2.5kg + 7g = 0.035g + 2500g + 7g = <em>2507.035 ≈ 2507g</em>

2.  We convert 1.234g into

a. mg

⇒ 1 gram = 1000 milligram

    1.243g = x

⇒ x = <u>1.243g × 1000mg</u> = <u>1243mg</u> = 1243mg

                1g                      1

b. kg

⇒ 1 kilogram = 1000gram

                  x =   1.243 gram

⇒ x = <u>1.243g × 1kg</u>  =   <u>1.243kg</u> = 0.001243kg = 1.243 × 10⁻³ kg

                1000g            1000

c. mcg

⇒  1 gram = 1000000mcg

    1.243g =  x

⇒ x = <u>1.243g × 1,000,000mcg</u>  = <u>1,243,000mcg</u> = 1,243,000mcg

                        1 g                                   1

3. We need 500 aspirin, the amount of grams needed and we know that one tablet contains 325mg.

So now we can derive the formula such that:

⇒ 1 tablet      = 325mg

   500 tablet =  x

But first we need to convert 325mg to grams.

⇒ 1 gram = 1000mg

      x   =  325mg

⇒ x = <u>325mg × 1 g</u> = <u>325g</u> = 0.325g

              1000mg     1000

So now instead of using 325mg we can use 0.325g.

⇒ 1 tablet   =  0.325g

    500 tablets =  x

⇒ x = <u>500 tablets × 0.325g</u>  =  <u>162.5g</u> = 162.5g

                      1  tablet                   1

3 0
2 years ago
Use the given information to find the coefficient of determination. A regression equation is obtained for a collection of paired
katrin [286]

Answer:

Option c) 0.898

Step-by-step explanation:

Given :

Total variation = 20.711

Explained variation = 18.592

unexplained variation = 2.119

we know that coefficient of determination  r² = \frac{\text{explained variation}}{\text{total variation}}

                                                                       = \frac{18.592}{20.711}

                                                                       = 0.897687 ≈ 0.898

Option c, 0.898 is the answer.

6 0
3 years ago
After a cleanup, algae covers 2 miles of a coastline. The length of the coastline covered after the cleanup is $\frac{1}{3}$
emmasim [6.3K]

The miles previously covered by algae is 6 miles

let m represent the miles of the coastline covered by algae before the clean-up  

fraction of miles covered after the clean-up = \frac{1}{3} x m = \frac{1}{3}m

miles covered after the clean-up = 2 miles

\frac{1}{3}m = 2 miles

to determine the value of m, make m the subject of the formula.

To do this, take the following step :

multiply both sides of the equation by 2

m = 2 miles x 3

m = 6 miles

For more information, please check : brainly.com/question/2294445?referrer=searchResults

7 0
3 years ago
The following division is being performed using multiplication by the reciprocal. Find the missing numbers.
konstantin123 [22]
To find the missing values you need to understand that the reciprocal is the fraction that is created when you invert (flip) The fraction.

Using this we actually have the missing values in the other fraction.

Please see the attached picture for the 3 missing values. They are in the boxes.

4 0
3 years ago
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