All categories

3 years ago

Circle G and X connect at point Y. The length of G Y is 10 centimeters and the length of Y X is 16 centimeters.

Mathematics

2 answers:

aleksklad [387]3 years ago

5 0

Answer:

Step-by-step explanation:

In-s [12.5K]3 years ago

3 0

Answer:

676π Sq. cm.

Step-by-step explanation:

The line GY is the radius of the circle with G as center and Y is a point on the circle.

Now, GY = 10 cm.

Again, the line XY is the radius of the circle with X as center and Y is a point on the circle.

Now, XY = 16 cm

The two circles touched at point Y,

Therefore, point Y will be on line GX.

Now, GX = GY + YX = 10 + 16 = 26 cm.

Therefore, Marco wants to create a new circle using GX as the radius, then the area of the new circle will be π (26)² Sq. cm. = 676π Sq. cm. (Answer)

You might be interested in

If the discriminant is negative then the quadratic has

zepelin [54]

Answer:

No real solutions (or has two complex roots)

Step-by-step explanation:

The discriminant, b² - 4ac, is the expression (radicand ) of the quadratic equation:

$x = \frac{-b +/- \sqrt{b^{2}-4ac} }{2a}$ .

The value of the discriminant determines the nature and the number of solutions given by the quadratic equation.

A discriminant with a negative value (or b² - 4ac < 0 ) means that the quadratic equation has no real solutions or two complex solutions. Quadratic equations with a negative discriminant also have no x-intercepts; thus, its graph will not cross the x-axis.

4 0

2 years ago

In the circle below, suppose m STQ = 102° and mZTSR=56º. Find the following.

katrin [286]

Answer:

Step-by-step explanation:

6 0

2 years ago

Find the exact values of sin2 θ for cos θ = 3/18 on the interval 0° ≤ θ ≤ 90°

mote1985 [20]

Answer:

$sin(2\theta)=\frac{\sqrt{35} }{18}$

Step-by-step explanation:

Recall the formula for the sine of the double angle:

$sin(2\theta)=2*sin(\theta)*cos(\theta)$

we know that $cos(\theta)=\frac{3}{18}$ , and that $\theta$ is in the interval between 0 and 90 degrees, where both the functions sine and cosine are non-negative numbers. Based on such, we can find using the Pythagorean trigonometric property that relates sine and cosine of the same angle, what $sin(\theta)$ is:

$cos^2(\theta)+sin^2(\theta)=1\\sin^2(\theta)=1-cos^2(\theta)\\sin(\theta)=\sqrt{1-cos^2(\theta)} \\sin(\theta)=\sqrt{1-(\frac{3}{18} )^2}\\sin(\theta)=\sqrt{1-\frac{9}{324} }\\sin(\theta)=\sqrt{\frac{324-9}{324} }\\sin(\theta)=\sqrt{\frac{315}{324} }\\\\sin(\theta)=\frac{3}{18}\sqrt{35 }$

With this information, we can now complete the value of the sine of the double angle requested:

$sin(2\theta)=2*sin(\theta)*cos(\theta)\\sin(2\theta)=2*\frac{3}{18} \,\sqrt{35} \,\frac{3}{18}\\sin(2\theta)=\frac{2*3*3}{18*18}\,\sqrt{35} \\sin(2\theta)=\frac{\sqrt{35} }{18}$