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dezoksy [38]
3 years ago
9

If tan θ= -3/8 which expression is equivalent to cot θ?

Mathematics
1 answer:
klemol [59]3 years ago
8 0

Answer:

                 -8

If cot Ф = ------

                  3

Step-by-step explanation:

Justine, when you're given answer choices, please share them.  Thank you.

                 -3

If tan Ф = ------

                  8

then:

                 -8

If cot Ф = ------

                  3

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The postal service offers flat-rate shipping for priority mail in special boxes. Today, Kylie shipped 4 small boxes and 4 medium
babymother [125]

Answer:

Shipping Cost of small boxes = x = $7

Shipping Cost of large boxes = y = $15

Step-by-step explanation:

Let us represent

Shipping Cost of small boxes = x

Shipping Cost of large boxes = y

The postal service offers flat-rate shipping for priority mail in special boxes.

Today, Kylie shipped 4 small boxes and 4 medium boxes, which cost her $88 to ship.

4x + 4y = 88...... Equation 1

Meanwhile, Trevor shipped 9 small boxes and 4 medium boxes, and paid $123.

9x + 4y = 123 ..... Equation 2

Combining both Equations

4x + 4y = 88...... Equation 1

9x + 4y = 123 ..... Equation 2

Subtract Equation 1 from Equation 2

5x = 35

x = 35/5

x = $7

Solving for y using Equation 1

4x + 4y = 88...... Equation 1

4($7) + 4y = 88

28 + 4y = 88

4y = 88 - 28

4y = 60

y = 60/4

y = $15

Shipping Cost of small boxes = x = $7

Shipping Cost of large boxes = y = $15

7 0
2 years ago
Help me i need help badly again
Irina-Kira [14]
Alright, given that it's a male then

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4 of them are freshmen

so the probalbity would be 4/14 or 2/7 or aprox 0.28571428571428571428571428571429

about 29%
8 0
3 years ago
Based on the scale drawing, what is the length, in feet, of the actual parking lot? On the drawing they have the width 12.8 cm a
aleksandrvk [35]

Answer:

The width of 48 feet is represented by 12.8cm; the length represented by 1cm is 48/12.8 = 15/4 = 3.75 feet.

The length on the drawing is 3.2cm, which is exactly 1/4 of the width of 12.8cm; therefore the length of the actual parking lot is 48/4 = 12 feet.

5 0
3 years ago
Help pls!! Find the area
Dima020 [189]

Answer:

17.5 for perpendicular triangle

Step-by-step explanation:

A= 1/2 ( b*h )

A= 1/2 ( 7*5)

A= 1/2 ( 35)

A= 17.5

8 0
2 years ago
In △ABC, AB = 13.2m,
luda_lava [24]

Answer:

(i) ∠ABH  = 14.5°

(ii) The length of AH = 4.6 m

Step-by-step explanation:

To solve the problem, we will follow the steps below;

(i)Finding  ∠ABH

first lets find <HBC

<BHC + <HBC + <BCH  = 180°  (Sum of interior angle in a polygon)

46° + <HBC  + 90 = 180°

 <HBC+ 136°  = 180°

subtract 136 from both-side of the equation

 <HBC+ 136° - 136°  = 180° -136°

 <HBC  = 44°

lets find <ABC

To do that, we need to first find <BAC

Using the sine rule

\frac{sin A}{a} =  \frac{sin C}{c}

A = ?

a=6.9

C=90

c=13.2

\frac{sin A}{6.9} = \frac{sin 90}{13.2}

sin A = 6.9 sin 90  /13.2

sinA = 0.522727

A = sin⁻¹ ( 0.522727)

A ≈ 31.5 °

<BAC  = 31.5°

<BAC + <ABC + <BCA = 180° (sum of interior angle of a triangle)

31.5° +<ABC + 90° = 180°

<ABC  + 121.5°  = 180°

subtract 121.5° from both-side of the equation

<ABC  + 121.5° - 121.5°  = 180° - 121.5°

<ABC = 58.5°

<ABH = <ABC - <HBC

           =58.5° - 44°

            =14.5°

∠ABH = 14.5°

(ii) Finding the length of AH

To find length AH, we need to first find ∠AHB

<AHB + <BHC = 180°  ( angle on a straight line)

<AHB + 46° = 180°

subtract 46° from both-side of the equation

<AHB + 46°- 46° = 180° - 46°

<AHB  = 134°

Using sine rule,

\frac{sin 134}{13.2}  = \frac{sin 14.5}{AH}

AH = 13.2 sin 14.5 / sin 134

AH≈4.6 m

length AH = 4.6 m

8 0
2 years ago
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