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malfutka [58]
3 years ago
10

(10.02)

Mathematics
1 answer:
ollegr [7]3 years ago
6 0
<h2>Hello!</h2>

The answer is:

C. Cosine is negative in Quadrant III

<h2>Why?</h2>

Let's discard each given option in order to find the correct:

A. Tangent is negative in Quadrant I: It's false, all functions are positive in Quadrant I (0° to 90°).

B. Sine is negative in Quadrant II: It's false, sine is negative in positive in Quadrant II. Sine function is always positive coming from 90° to 180°.

C. Cosine is negative in Quadrant III. It's true, cosine and sine functions are negative in Quadrant III (180° to 270°), meaning that only tangent and cotangent functions will be positive in Quadrant III.

D. Sine is positive in Quadrant IV: It's false, sine is negative in Quadrant IV. Only cosine and secant functions are positive in Quadrant IV (270° to 360°)

Have a nice day!

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a garden is in the shape of a square with a perimeter of 60 feet. the garden is surrounded by two fences. one fence is around th
Anon25 [30]

Answer: The total cost of the fences=$165.6

Step-by-step explanation:

Let a = the length of the side if the square.

The perimeter of the square is 60 ft

                                   4a = 60ft

divide both sides by

                                  4a = 60/4

                                    a = 15 ft

The garden is surrounded by two fences, one fence is around the perimeter of the garden, whereas the second fence is 3 feet from the first fence on the outside

Expand to get:

                               4*a + 4(a + 2*3)

Replace a with 15 to get:

                         =  4*15 + 4(15 + 6) 60 + 4(21) 60+84

                         = 144ft

The cost of the fence is $1.15 per foot

The cost of 144 ft fence will be:

                       = 144*1.15

                       = $165.6

Learn more about event correlation here: brainly.com/question/1333555

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7 0
1 year ago
Are the two expressions equivalent 5(3x+8) 8x+8 when x=10
Brums [2.3K]

Answer:no

Step-by-step explanation:

5(3(10)+8)

5(30+8)

5(38)=190

8(10)+8

80+8

88

88≠190 so no

7 0
3 years ago
Read 2 more answers
What would be the least common denominator of 5/6 and 2/9?
AURORKA [14]

Answer:

the least common denominator is 54 although there are some that are higher ones

Step-by-step explanation:

5 0
3 years ago
A rectangle has an area of 171 square meters. Its width is ten meters less than the length. Find the measures of the length and
9966 [12]

Step-by-step explanation:

The area of a rectangle is 171 m²

Let l is the length and b is the width of the rectangle

It width is 10 m less than the length. So,

b = l-10 ...(1)

Area of a rectangle is given by :

A=l\times b\\\\171=l(l-10)\\\\l^2-10l=171\\\\l^2-10l-171=0\\\\l^2-19l+9l-171=0\\\\\text{taking common together}\\\\l(l-19)+9(l-19)=0\\\\(l-9)(l-19)=0

or

l = 9 m or l = 19 m

If l = 9 m,

b = 9-10 = -1 m (can't be possible)

If l = 19 m

b = 19-10 = 9 m

So, the length an the breadth of the rectangle is 19 m and 9 m respectively.

8 0
3 years ago
Jennifer makes 1.7 liters of lemonade. If she pours 3 tenths of the lemonade in a glass, how many liters of lemonade are in the
Akimi4 [234]

Answer:

0.51 liters in the glass

Step-by-step explanation:

Given

Litres = 1.7L

Pour= \frac{3}{10}th

Required

Determine how many liters in the glass

To do this, we simply multiply the fraction poured by the total.

So, we have:

Poured = \frac{3}{10} * 1.7

Poured = \frac{3* 1.7}{10}

Poured = \frac{5.1}{10}

Poured = 0.51

<em>There will be 0.51 liters in the glass</em>

8 0
3 years ago
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