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3 years ago

Find sec 0is my answer correct? if not what's the right answer

Mathematics

1 answer:

Aleksandr [31]3 years ago

6 0

Answer:

Option(1)

Step-by-step explanation:

By applying secant rule in the given right triangle,

secθ = $\frac{\text{Hypotenuse}}{\text{Adjacent side}}$

From the picture attached,

Opposite side of angle θ = 5 units

By applying Pythagoras theorem,

(Hypotenuse)² = (leg 1)² + (leg 2)²

= (10)² + 5²

= 125

Hypotenuse = √125

= 5√5

Now substitute these values in the expression of secθ,

secθ = $\frac{5\sqrt{5}}{5}$

secθ = √5

Option (1) is the correct option.

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Step-by-step explanation:

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3 years ago

A circular pond 24 yd in

Schach [20]

Answer:

The walk will cost $8164.

Step-by-step explanation:

Given:

Diameter of the circular pond (D) = 24 yd

Width of the gravel path (x) = 2 yd

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Now, radius of the circular pond is half of the diameter and is given as:

$Radius,R=\frac{D}{2}=\frac{24}{2}=12\ yd$

Now, area of the pond is given as:

$A_{pond}=\pi R^2=3.14\times (12)^2=3.14\times 144=452.16\ yd^2$

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Now, area of the gravel path can be obtained by subtracting the pond area from the total outer area. This gives,

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Cost of 1 square yard of path = $50

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5 0

4 years ago

Read 2 more answers

If the line joining (3x, x+1) and (11,12) has a slope of 4 what is the value of x

Irina18 [472]

Answer:

x = 3

Step-by-step explanation:

$(3x,\: x +1)=(x_1, \:y_1)$

$(11,\: 12)=(x_2, \:y_2)$

$slope = \frac{y_2 - y_1}{x_2 - x_1} \\ \\ 4 = \frac{12 - (x + 1)}{11 - 3x} \\ \\ 4 = \frac{12 - x - 1}{11 - 3x} \\ \\ 4 = \frac{11 - x}{11 - 3x} \\ \\ 4(11 - 3x) = 11 - x \\ \\ 44 - 12x = 11 - x \\ \\ 44 - 11 = 12x - x \\ \\ 33 = 11x \\ \\ x = \frac{33}{11} \\ \\ \huge \red{ \boxed{x = 3}}$

4 0

3 years ago

For problem 8, find the area of the shaded region. The polygon is a regular polygon. please show work.

MissTica

Answer:

34.7791 [unit²].

Step-by-step explanation:

1) area of the circle is:

πr²;

2) area of the regular polygon is:

6*r²√3*0.25=1.5√3r²;

3) the required area:

πr²-1.5√3r²=r²(π-1.5*√3)=64*(3.1415-1.5*1.7321)=34.7791

4 0

3 years ago

Answer for 7 and 8 please and explanation if possible

ASHA 777 [7]

7. To find the area of a triangle you use base x height /2. so the base is 10 and the height is 25 so you do 10 x 25 first which is 250 then divide by 2 which gives you 125 so the area of each pennant is 125 cm^2 ( the ^2 means squared)

8. To find the area of a square you do length x Width. Since for a square all sides are the same the length AND the width are both 450cm. Now you just do 450 x 450 which gives you 202,500 cm^2. BUT it asks for an answer written in SQUARE METRES so you have to change 450cm to metres making it 4.5 metres x 4.5 metres = 20.25 SO THE REAL ANSWER IS 20.25 M^2

Hope this helps you out!

4 0

3 years ago

Read 2 more answers

Find sec 0is my answer correct? if not what's the right answer ​

Find sec 0is my answer correct? if not what's the right answer