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3 years ago

List all the subsets of {1}

1 answer:

4 0

Any set with one element, as is the case here, can have two subsets. Here, those subsets are the empty set {} and the whole set {1}.

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A farmstand sells apples, a, for $4 a bucket; peaches, p, for $6 A bucket; and strawberries, s, for $9 a bucket. The stand earn

PolarNik [594]

Answer:

Step-by-step explanation:

process of elimination. They sold half as many strawberries as peaches.

5 0

3 years ago

Read 2 more answers

A pole that is 2.5 m tall casts a shadow that is 1.47 m long. At the same time, a nearby tower casts a shadow that is 36.25 m lo

Roman55 [17]

The tower is 61.65 meters tall.

SOLUTION:

Given that, a pole that is 2.5 m tall casts a shadow that is 1.47 m long.

At the same time, a nearby tower casts a shadow that is 36.25 m long.

We have to find height of the tower.

Now, we know that,

$2.5 \mathrm{m} \text { tall } \rightarrow 1.47 \text { long shadow }$

Then, (let it be) n meter tall $\rightarrow$ 36.25 long shadow

So, by cross multiplication method,

$\Rightarrow \frac{2.5}{1.47}=\frac{n}{36.25}$

This can be written as,

$\Rightarrow 36.25 \times 2.5=1.47 \times n \rightarrow 1.47 n=90.625 \rightarrow n=61.649 \rightarrow n=61.65 \text{ m}$

Cross multiplications steps: (To find Single Variable)

Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction.
Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction.
Set the two products equal to each other.
Solve for the variable.

6 0

3 years ago

Identify the segment bisector of XY.

Ganezh [65]

Given the image attached, the segment bisector that divides XY into two and the length of XY are as follows:

Segment bisector of XY = line n
Length of XY = 6

Recall:

A line that divides a segment into two equal parts is referred to as segment bisector.

In the diagram attached below, line n divides XY into XM and MY.

Thus, the segment bisector of XY is: line n.

Find the value of x:

XM = MY (congruent segments)

Substitute

$5x + 8 = 9x + 12$

Collect like terms and solve for x

$5x + 8 = 9x + 12\\5x - 9x = -8 + 12\\\\-4x = 4\\\\x = -1$

XY = XM + MY

$XY = 5x + 8 + 9x + 12$

Plug in the value of x

$XY = 5(-1) + 8 + 9(-1) + 12\\\\XY = -5 + 8 -9 + 12\\\\\mathbf{XY = 6}$

Therefore, given the image attached, the segment bisector that divides XY into two and the length of XY are as follows:

Segment bisector of XY = line n
Length of XY = 6

Learn more here:

brainly.com/question/19497953

3 0

2 years ago

Solve the simultaneous equations 8x – 3y = 30 3x + y = 7

hodyreva [135]

Solve for y in 3x+7=y

y=7−3x

Substitute y=7−3x

y=7−3x into 8x−3y=30

8x−3y=30.

17x−21=30

Solve for x

x in 17x−21=30

17x−21=30.

X=3

Substitute x=3 into y=7−3x

y=-2

Therefore,

x=3

y=−2

6 0

2 years ago

In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle. Find the measure

soldi70 [24.7K]

Given:

In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle.

To find:

The measures of the 2 acute angles of the triangle.

Solution:

Let x be the measure of one acute angle. Then the measure of another acute is (2x+12).

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,

$x+(2x+12)+90=180$