All categories

3 years ago

Geometry, please answer question ASAP

Mathematics

1 answer:

mestny [16]3 years ago

7 0

Answer:

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanC = $\frac{opposite}{adjacent}$ = $\frac{AB}{BC}$ = $\frac{c}{a}$ , then

C = $tan^{-1}$ ( $\frac{c}{a}$ )

You might be interested in

a right triangle has a 30 degree angle. the leg adjacent to the 30 degree angle measures 25 inches. what is the length of the ot

crimeas [40]

The length of the other leg is 14.4

8 0

4 years ago

A map of a rectangular park has a length of 4 inches and a width of 6 inches. Ir uses a scale of 1 inch for every 10 miles. What

mr Goodwill [35]

Answer:

yes, your answer would be 2400

5 0

3 years ago

In the diagram below,AB is the diameter of the circle with centre P.Point C lies on the y-axis.Given the coordinates of A and B

Step2247 [10]

Answer:

The coordinates of P are (-2,0)

The radius of the circle is 5.

Step-by-step explanation:

Analytic geometry

The diagram shows a circle with center P, and two points A(-6,3) and B(2,-3) that form the diameter of the circle.

The center of the circle lies at the midpoint of A and B. The midpoint (xm,ym) can be calculated by:

$\displaystyle x_m=\frac{x_1+x_2}{2}$

$\displaystyle y_m=\frac{y_1+y_2}{2}$

Substituting x1=-6, x2=2, y1=3, y2=-3:

$\displaystyle x_m=\frac{-6+2}{2}=\frac{-4}{2}=-2$

$\displaystyle y_m=\frac{3-3}{2}=0$

Thus, the coordinates of P are (-2,0)

b) The radius of the circle is the distance from the center to any point in its circumference. We can use the distance from P to A or B indistinctly.

Given two points A(x1,y1) and P(x2,y2), the distance between them is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substituting x1=-6, x2=-2, y1=3, y2=0:

$r=\sqrt{(-2+6)^2+(0-3)^2}$

$r=\sqrt{4^2+(-3)^2}$

$r=\sqrt{16+9}=\sqrt{25}=5$

The radius of the circle is 5.

4 0

3 years ago

If x is a number that is 7 more than y, how do you express x as a function of y

Soloha48 [4]

$x=y+7$
.....

5 0

3 years ago

suddenly the number of math problems mathletes had to solve increased by 60%! to keep on track the mathletes try to go faster bu

Natali [406]

9514 1404 393

Answer:

28%

Step-by-step explanation:

If x represents the fractional increase in the number of mathletes, and if problem-solving speed is jointly proportional to their speed and their number, we want ...

(1 +25%)(1 +x) = (1 +60%)

1 +x = 1.60/1.25 = 1.28

x = 0.28 = 28%

The team size must increase by 28% to solve all of the problems on time.

6 0

3 years ago