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Rufina [12.5K]
3 years ago
13

Find tan if sin=1/4 and falls in Quadrant 1

Mathematics
1 answer:
borishaifa [10]3 years ago
7 0
Ok, sin = prep / hyp    

so,  perpendicular  = 1  , and hypo = 4  
so, base = sq. root ( 16-1 ) = root 15

and tan = prep / base  = 1 / root (15) 


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Danielle wants to know if a new dresser will fit next to her bed. The dresser she would like to buy is 73 centimeters wide. She
zhannawk [14.2K]

Answer:

No.

The dresser's width(28.74in) is greater than the remaining free width(10in) in the room.

Step-by-step explanation:

First, convert the chest width into inches,73cm=28.74 \ in

To find the excess width after fitting the bed in her room, we subtract the bed width from the room's width:

Width_R=86 \ in\\Width_B=76 \ in\\\\Width_{excess}=Width_R-Width_B\\\\=86\ in -76\ in\\\\=10\ in

Since 10in is less than 28.74in, the dresser will not fit next to her bed.

5 0
3 years ago
if you multply two decimals that are less than 1 , can you predict whether the product will be less than or greater than either
nekit [7.7K]
Yes.  Multiplying anything by a number less than one will decrease the original number.  So multiplying two decimals will result in a number less than either one.
7 0
3 years ago
What are the coordinates of the point on the directed line segment from (-6, -6)(−6,−6) to (9, -1)(9,−1) that partitions the seg
GrogVix [38]

Answer:

(0, -4)

Step-by-step explanation:

The coordinates of the points from which the directed line segment extends = (-6, -6) to (9, -1)

The ratio the required point partitions the line = 2 to 3

The formula for finding the coordinate of a point that partitions a line AB into a ratio 'a' to 'b', where the coordinates of, A = (x₁, y₁) and B = (x₂, y₂) is given as follows;

\left(\dfrac{a}{a + b} \times (x_1 - x_2)+ x_1, \ \dfrac{a}{a + b} \times (y_1 - y_2)+ y_1 \right)

Therefore, the required point is located as follows;

\left(\dfrac{2}{2 + 3} \times (9 - (-6))+ (-6), \ \dfrac{2}{2 + 3}\times (-1 - (-6))+ (-6) \right) = (0, -4)

The coordinates of the point is (0, -4)

6 0
3 years ago
A lifeguard is in a look out chair and sees a person in distress. The eye level of the lifeguard is 15 feet above the ground. Th
faltersainse [42]

Answer:

Horizontal distance between lifeguard and the person is 22 feet.

Step-by-step explanation:

Given: A lifeguard sees a person in distress.The eye level of the lifeguard is 15 feet above the ground. Angle of depression is 34°.

To find: Horizontal distance between lifeguard and the person.

Solution : If we draw a triangle then tan∅ = \frac{height}{base}

               Here base is the horizontal distance.

               Now we put the values in the formula.

               tan 34° = \frac{15}{base}

              Or Base = \frac{15}{tan34}

                             = \frac{15}{0.675} = 22.22 feet

So the answer is 22 feet.

7 0
3 years ago
When Maggie hooks her dog up to a rope that is staked in the yard, the dog can walk a distance of about 76 feet along the circum
pentagon [3]

Answer:

12.1

Step-by-step explanation:

76/2π

= 38/π

= 12

3 0
2 years ago
Read 2 more answers
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