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kotykmax [81]
3 years ago
7

According to your graphing calculator what is the approximate solution to the trigonometric inequality tan(x/4)<1/5 over the

interval 0<= x<=2pi radians 
0<=x<0.7896
0<=x<0.9799
0<=x<0.9870
0<=x<1.2249
Mathematics
2 answers:
Ede4ka [16]3 years ago
6 0

Answer:

A) 0<=x<0.7896

Step-by-step explanation:

Edge 2020

maxonik [38]3 years ago
4 0

Answer:

A. 0<=x<0.7896

Step-by-step explanation:

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Find the area of the trapezoid below to the nearest tenth.
kondor19780726 [428]

Answer:

Area of trapezoid = 67.6 square units

Step-by-step explanation:

Area of a trapezoid is given by the expression,

Area of the trapezoid = \frac{1}{2}(b_1+b_2)h

Here, b_1 and b_2 are the parallel sides of the given trapezoid.

And 'h' = Height between the parallel sides

From the given triangle ABE,

m(∠ABE) = m(∠ABC) - m(∠EBC)

m(∠ABE) = 120° - 90°

               = 30°

By applying cosine rule in the given triangle,

cos(30°) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

\frac{\sqrt{3} }{2}=\frac{BE}{AB}

\frac{\sqrt{3} }{2}=\frac{BE}{6}

BE = 3\sqrt{3} units

By applying sine rule in ΔABE,

sin(30°) = \frac{\text{Opposite side}}{\text{Hypotenuse}}

\frac{1}{2}=\frac{AE}{AB}

\frac{1}{2}=\frac{AE}{6}

AE = 3 units

Length of b_1=BC=10

Length of b_2=AD=(AE+EF+FD) [AE = FD, since given trapezoid ABCD is an isosceles trapezoid]

                b_2=3+10+3

                b_2=16

Height between the parallel sides h=3\sqrt{3}

Area of the trapezoid = \frac{1}{2}(BC+AD)BE

                                    = \frac{1}{2}(10+16)(3\sqrt{3})

                                    = 39\sqrt{3}

                                    = 67.6 square units

8 0
3 years ago
The cylinder shown has a lateral surface area of about 750 square inches. Which answer is closest to the measure of the cylinder
Alchen [17]

Answer:

r ≈ 2.39 inches.

Step-by-step explanation:

I think your question is missed of key information of the height, allow me to add in and hope it will fit the original one.  

<em>The cylinder shown has a lateral surface area of about 750 square inches. Which answer is closest to the measure of the cylinder's radius? Use 3.14 to approximate pi. the height being 50 inches.</em>

My answer:

Given that the lateral surface area of about 750 square inches and its height is 50 inches.

We have the formula ti find the surface area of the cylinder is:

S = h(2πr)

<=> 750 = 50*2*3.14*r

<=> r ≈ 2.39 inches.

Hope it will find you well.

3 0
4 years ago
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