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2 years ago

What is the value of x? Enter your answer in the box.

Mathematics

1 answer:

Radda [10]2 years ago

5 0

Answer:

x = 8

y = 6

Step-by-step explanation:

First and foremost, it's an equilateral triangle, therefore all sides and angles are equal.

Knowing that the sum of angle in a triangle is 180°, therefore each angle is 60°.

Then equating (7x+4)° to 60, we have that,

7x+4=60

7x=60-4

7x=56

x=56÷7

x=8.

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Find the volume of the entire figure to the nearest whole number. Use 3.14 for Pi.

Alja [10]

Answer:

1733.28 m³ or approximately 1733 m³

Step-by-step explanation:

Cone - 1/3πr²h

Cylinder - πr²h

Cone - 1/3(3.14)(6)²(10) ⇒ 376.8

Cylinder - (3.14)(6)²(12) ⇒ 1356.48

1356.48 + 376.8 = 1733.28 m³

Approximately 1733 m³

4 0

3 years ago

Simplify the expression. Quantity cosecant of x to the power of two times secant of x to the power of two divided by quantity se

Art [367]

Answer:

D. 1

Step-by-step explanation:

We have the expression, $\frac{\csc^{2}x\sec^{2}x}{\sec^{2}x+\csc^{2}x}$

We get, eliminating the cosecant function,

$\frac{\sec^{2}x}{\frac{\sec^{2}x}{\csc^{2}x}+1}$

As, sinx is reciprocal of cosecx and cosx is reciprocal of secx,

i.e. $\frac{\sec^{2}x}{\frac{\sin^{2}x}{\cos^{2}x}+1}$

i.e. $\frac{1}{\cos^{2}x}\times \frac{\cos^{2}x}{\sin^{2}x+\cos^{2}x}$

Since, we know that, $\sin^{2}x+\cos^{2}x=1$

Thus,

$\frac{1}{\cos^{2}x}\times \frac{\cos^{2}x}{\sin^{2}x+\cos^{2}x}=1$

So, after simplifying, we get that the result is 1.

Hence, option D is correct.

3 0

3 years ago

4 out of 9 dogs weigh less than 20 pounds. What is the decimal equivalent for the number of dogs weighing under 20 pounds?

iVinArrow [24]

4/9=0.44444444 repeating

6 0

3 years ago

Find the value of x.<br>(tangent)

mariarad [96]

Answer:

5 $\sqrt{2}$

Step-by-step explanation:

Special triangle. 1:1: $\sqrt{2}$

8 0

3 years ago

Read 2 more answers

What Is the area of the shaded part???

Aloiza [94]

Answer: The area of the shaded region is 27.74 centimeters squared

Step-by-step explanation: The diagram shows a two-in-one figure, a circle inscribed in a rectangle. The shaded region is the part of the rectangle not covered by the circle, hence we would have to subtract the area of the circle from that of the rectangle.

Area of Rectangle = L x W

Area of rectangle = 8 x 7

Area of rectangle = 56

Also,

Area of circle = Pi x r^2

Area of circle = 3.14 x 3^2

Area of circle = 3.14 x 9

Area of circle = 28.26

Area of shaded region is given as area of rectangle minus area of circle

Therefore, shaded region = 56 - 28.26

Area of shaded region = 27.74 centimeters squared

3 0

3 years ago