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3 years ago

Which of the following statements about Pascal's Triangle are true?

Mathematics

1 answer:

Anarel [89]3 years ago

6 0

Answer:

1. It is symmetric

2. The second diagonal is the counting numbers

3. Any number in the triangle is the sum of the two numbers directly above it

Step-by-step explanation:

1. The first diagonal shows the counting numbers.

2. The sums of the rows give the powers of 2.

3. Each row gives the digits of the powers of 11

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Repeated-measures and matched-subjects experiments

taurus [48]

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3 years ago

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dimulka [17.4K]

Step-by-step explanation:

u have to say what the how much degree it is

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3 years ago

A box has a length of 6 cm a width of 4 cm and a height of 5 cm what is the volume of the box

Liula [17]

Answer:

120

Step-by-step explanation:

the formula of a box is L x W x H

so since the length is 6 and the width is 4 and the height is 5 you multiply

6x4x5=120

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3 years ago

Pls help me out with this question

Nezavi [6.7K]

Answer:

83 m (nearest metre)

Step-by-step explanation:

This can be modeled as a right triangle, where the base is 60 m and the height is the height of the building.

Alternate Interior Angles Theorem (Z-angles)

If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.

Using the Alternate Interior Angles theorem, the angle between the ground and the dashed line (angle of elevation) is 54°.

Tan trigonometric ratio

$\sf \tan(\theta)=\dfrac{O}{A}$

where:

$\theta$ is the angle
O is the side opposite the angle
A is the side adjacent the angle

Given:

$\theta$ = 54°
O = height of building (h)
A = 60

Substituting the given values into the formula and solving for h:

$\implies \sf \tan(54^{\circ})=\dfrac{h}{60}$

$\implies \sf h=60 \tan(54^{\circ})$

$\implies \sf h=82.58291523...$

$\implies \sf h=83\:\:m\:(nearest\:metre)$

7 0

2 years ago

Read 2 more answers

What is 2 1/2 divided by 3 2/3

Zepler [3.9K]

Answer by JKismyhusbandbae:

$\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 2\frac{1}{2}=\frac{5}{2}\\=\frac{5}{2}\div \:3\frac{2}{3}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 3\frac{2}{3}=\frac{11}{3}\\=\frac{5}{2}\div \frac{11}{3}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\=\frac{5}{2}\times \frac{3}{11}\\\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}\\$

$\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}\\=\frac{5\times \:3}{2\times \:11}\\\mathrm{Multiply\:the\:numbers:}\:5\times \:3=15\\=\frac{15}{2\times \:11}\\\mathrm{Multiply\:the\:numbers:}\:2\times \:11=22\\=\frac{15}{22}$

5 0

3 years ago