All categories

3 years ago

Find the answer! 10 points to the first person!

Mathematics

1 answer:

Phoenix [80]3 years ago

8 0

Answer:

Step-by-step explanation:

This is a 30, 60 90 triangle, which means that there is a ration for calculating each side.

You might be interested in

Find the volume of the square pyramid below

Snowcat [4.5K]

Answer:

Step-by-step explanation:

The volume (V) of a pyramid is

V = $\frac{1}{3}$ area of base × perpendicular height (h)

area of square base = 4² = 16 and h = 4, hence

V = $\frac{1}{3}$ × 16 × 4 = $\frac{64}{3}$ = 21 $\frac{1}{3}$ ft³

7 0

3 years ago

A certain new type of business succeeds 60% of the time. Suppose that 3 such businesses open (where they do not compete with eac

ella [17]

Answer:

0.216

Step-by-step explanation:

Given that a certain new type of business succeeds 60% of the time.

3 such businesses are tested for success.

Since these three businesses open (where they do not compete with each other, so it is reasonable to believe that their relative successes would be independent). we can say X no of successful businesses is Binomial

with p = 0.6 and n =3

Required probability

=The probability that all 3 businesses succeed is:

= $P(X=3)\\= 0.6^3\\= 0.216$

8 0

3 years ago

The surface areas of two similar solids are 340 yd² and 1,158 yd². The volume of the larger solid is 1,712 yd³. What is the volu

ratelena [41]

The ratio of surface area is equal to the ratio of the square of the corresponding dimensions. And ratio of volumes of two solids is equal to the cube of the ratio of the corresponding dimensions .

We start with the relation between ratio of surface area and ratio of corresponding sides. That is

$\frac{340}{1158}=(\frac{x}{y} )^2$

Here x and y are the corresponding sides .

$\frac{x}{y} =\sqrt{\frac{340}{1158} } =0.542$

Let the volume of the smaller one be v

$\frac{v}{1712}=0.542^3$

$v=1712*0.542^3=272$

So for the smaller solid, volume is 272 . And the correct option is the first option .

4 0

3 years ago

Part A - Construct a circle of any radius, and draw a chord on it. The construct the radius of the circle that bisects the chord

Julli [10]

Answer:

It can be concluded that the intersection of a chord and the radius that bisects it is at right angle. The two are perpendicular.

Step-by-step explanation:

i. Construct the required circle of any radius as given in the question, then locate the chord. A chord joins two points on the circumference of a circle, but not passing through its center.

ii. Construct the radius to bisect the chord, dividing it into two equal parts.

Then it would be observed that the intersection of a chord and the radius that bisects it is at right angle. Thus, the chord and radius are are perpendicular to each other.

The construction to the question is herewith attached to this answer for more clarifications.

5 0

3 years ago

Type the correct answer in the box. Use a comma to separate the x- and y-coordinates of each point. The coordinates of the point

MAVERICK [17]

Answer:

On a unit circle, the point that corresponds to an angle of $0^{\circ}$ is at position $(1, \, 0)$ .

The point that corresponds to an angle of $90^{\circ}$ is at position $(0, \, 1)$ .

Step-by-step explanation:

On a cartesian plane, a unit circle is

a circle of radius $1$ ,
centered at the origin $(0, \, 0)$ .

The circle crosses the x- and y-axis at four points:

$(1, \, 0)$ ,
$(0, \, 1)$ ,
$(-1,\, 0)$ , and
$(0,\, -1)$ .

Join a point on the circle with the origin using a segment. The "angle" here likely refers to the counter-clockwise angle between the positive x-axis and that segment.

When the angle is equal to $0^\circ$ , the segment overlaps with the positive x-axis. The point is on both the circle and the positive x-axis. Its coordinates would be $(1, \, 0)$ .

To locate the point with a $90^{\circ}$ angle, rotate the $0^\circ$ segment counter-clockwise by $90^{\circ}$ . The segment would land on the positive y-axis. In other words, the $90^{\circ}$ -point would be at the intersection of the positive y-axis and the circle. Its coordinates would be $(0, \, 1)$ .

4 0

3 years ago