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3 years ago

3. Higher Order Thinking The

Mathematics

1 answer:

sineoko [7]3 years ago

5 0

The lengths of the three pencils form a right-triangle, and the two-step problem is:

6^2 + 8^2 = 10^2
100 = 100

<h3>How to write the two-step problem</h3>

The lengths of the pencils are given as:

6cm, 8cm and 10cm

Using the Pythagoras theorem, we have:

6^2 + 8^2 = 10^2

Evaluate the exponents

100 = 100

Hence, the lengths of the three pencils form a right-triangle

Read more about two-step problem at:

brainly.com/question/24590763

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Rectangle A, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-1, -6),A(−1,−6),A,

solong [7]

Answer:

13 units

Step-by-step explanation:

Points A(-1, -6) and B(-1, 7) both lie on the vertical line x=-1. That means the distance between them is the difference of their y-coordinates:

By -Ay = 7 -(-6) = 13

Segment AB is 13 units long.

7 0

2 years ago

25 cm of ribbon at £2.20 per metre what is the cost

Step2247 [10]

0.55 pence or quid per 25 centimeters as if you multiply it by 4 it would be 2.20 pound because 1 metre is 100 centimeters after i divide 100 by 25 i get 4 which would be 1/4 which i would then multiply 1/4 x 2.2 pound

3 0

4 years ago

What is ∑n=124(2n−3) equal to?

neonofarm [45]

Answer:

1332

Step-by-step explanation:

[n=1 to 24]∑(5n−7)

= 5*24*25/2 - 7*24

= 1332

3 0

3 years ago

A city council consists of eight Democrats and eight Republicans. If a committee of six people is selected, find the probability

saw5 [17]

Answer:

39.16% probability of selecting three Democrats and three Republicans

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the people are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes:

3 Democrats, from a set of 8.

3 Republicans, from a set of 8.

$D = C_{8,3}*C_{8,3} = (C_{8,3})^{2} = (\frac{8!}{3!5!})^{2} = 56^2 = 3136$

Total outcomes:

6 people from a set of 16.

$T = \frac{16!}{6!10!} = 8008$

Probability:

$p = \frac{D}{T} = \frac{3136}{8008} = 0.3916$

39.16% probability of selecting three Democrats and three Republicans

5 0

3 years ago

Can anybody please help me??

garri49 [273]

Answer:

(x, y) = (6, 1) is the solution

Step-by-step explanation:

Each of the equations is written in "slope-intercept" form:

y = mx + b . . . . . . . . where m is the slope and b is the y-intercept

<u>First equation</u>

The y-intercept is +7 and the slope is -1. That means the line goes down 1 unit for each unit it goes to the right. It will go through the points (0, 7) and (7, 0).

<u>Second equation</u>

The y-intercept is -2 and the slope is 1/2. That means the line goes up 1 unit for each 2 units it goes to the right. It will go through the points (0, -2) and (4, 0).

The lines will intersect at the point (6, 1), which is the solution found by graphing.

7 0

4 years ago