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2 years ago

Find cos 200 with answers

Mathematics

1 answer:

Sloan [31]2 years ago

6 0

Answer:

so it was in my textbook coincidenly here is a solution for that

Step-by-step explanation:

Since,

cos 200°

= 1/sec 200°

⇒ cos 200°

= 1/(-1.0641)

= -0.9397

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The length of a rectangular garden is 6 more than its width. If the perimeter is 32 feet, what is the width and the area of the

PolarNik [594]

Answer:

${\fbox{ \sf{Width \: of \: a \: rectangular \: garden \: = 5 \: feet}}}$

$\boxed{ \sf{ \: Area \: of \: a \: rectangular \: garden = 55 {ft}^{2}}}$

Step-by-step explanation:

$\star$ Let the width of a rectangular garden be 'w'

$\star$ Length of a rectangular garden = 6 + w

$\star$ Perimeter of a rectangular garden = 32 feet

 $\longrightarrow$ Finding the width of a rectangular garden :

$\boxed{ \sf{ \: Perimeter \: of \: a \: rectangle \: = \: 2(length + width}}$

$\mapsto{ \text{32 = 2(6 + w + w)}}$

$\text{Step \: 1 \: : Collect \: like \: terms}$

Like terms are those which have the same base

$\mapsto{ \text{32 = 2(6 + 2w) }}$

$\text{Step \: 2 \: : Distribute \: 2 \: through \: the \: parentheses}$

$\mapsto{ \text{32 = 12 + 4w}}$

$\text{Step \: 3 \: : Swap \: the \: sides \: of \: the \: equation}$

$\mapsto{ \text{4w + 12 = 32}}$

$\text{Step \: 4 \: : Move \: 12 \: to \: right \: hand \: side \: and \: change \: its \: sign}$

$\mapsto{ \text{4w = 32 - 12}}$

$\text{Step \: 5 \: : Subtract \: 12 \: from \: 32}$

$\mapsto{ \sf{4w = 20}}$

$\text{Step \: 6 \: : Divide \: both \: sides \: by \: 4}$

$\mapsto{ \sf{ \frac{4w}{4} = \frac{20}{4}}}$

$\text{Step \: 7 \: : Calculate}$

$\mapsto{ \text{w = 5}}$

Width of a rectangular garden = 5 feet

$\longrightarrow$ Substituting / Replacing the value of w in 6 + w in order to find the length of a rectangular garden

$\mapsto{ \sf{Length = 6 + w = 6 + 5 = \bold{11 \: feet} }}$

$\longrightarrow$ Finding the area of a rectangular garden having length of 11 feet and width of 5 feet :

$\boxed{ \sf{Area \: of \: a \: rectangle = length \:∗ \: width}}$

$\mapsto{ \text{Area \: = \: 11 \: ∗ \: 5}}$

$\mapsto{ \sf{Area \: = 55 \: {ft}^{2} }}$

Area of a rectangular garden = 55 ft²

Hope I helped!

Best regards! :D

~ $\sf{TheAnimeGirl}$

6 0

3 years ago

A standard pair of six-sided dice is rolled. What is the probability of rolling a sum less than 7? Express your answer as a frac

zzz [600]

Answer:

0.4167 is the probability of rolling a sum less than 7.

Step-by-step explanation:

We are given the following in the question:

Event: A standard pair of six-sided dice is rolled

A: rolling a sum less than 7

Sample space:

{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)

(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)

(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)

(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)

(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)

(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

{(1,1),(1,2),(1,3),(1,4),(1,5),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(4,1),(4,2),(5,1)}

Formula:

$\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

$P(A) = \dfrac{15}{36} = 0.4167$

0.4167 is the probability of rolling a sum less than 7.

8 0

3 years ago

Boris wants to buy new carpet for his living room floor. The floor is in the shape of a rectangle. Its length is 16 feet and its

Flura [38]

Use the are formula for a rectangle which is Length times Width to find the amount of square feet of carpeting.(16 times 14=224ft^2) Then you need multiply 224 by 12 because you have 224 square feet at $12 per square foot. So in the end it will cost $2688 to get the new carpet.

8 0

4 years ago

Find the vertex of the function h(x) = x2 – 4x – 21

lakkis [162]

Answer: (2, -25)

Step-by-step explanation:

The x coordinate of the vertex is $x=-\frac{-4}{2(1)}=2$ .

When x=2, $h(2)=2^2 - 4(2)-21=-25$ .

So, the vertex is (2, -25).

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2 years ago

Real Answers Only!!!!

lyudmila [28]

Answer:

The correct answer is C) Reflection across the Y-axis.

Step-by-step explanation:

This is because only the x-coordinates changed. If these coordinates were reflected across both the x and y axis' the sign of both the x and y coordinates would have changed. When you reflect a point across the x axis, the y-coordinates change their sign. When you reflect a point across the y axis, the x-coordinates change their sign.

Hope this helps,

♥A.W.E.S.W.A.N.♥

5 0

3 years ago

Find cos 200 with answers​

Find cos 200 with answers