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3 years ago

Which property is illustrated by the statement 6 • 4 = 4 • 6?

Mathematics

1 answer:

LenKa [72]3 years ago

5 0

Commutative property because 6•4=4•6 is communative property

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Which inequality represents the problem? A seagull can dive below sea level at a rate of 2 meters per second. How many seconds w

VladimirAG [237]

A submarine descends below the oceans surface at a rate of 75 feet per minute. How naby feet below the iceabs surface will the submarine be in 12 minutes

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3 years ago

A pattern exists among the units digit of the posers of 8 as shown in the diagram.

guajiro [1.7K]

Answer:

B) 4

Step-by-step explanation:

We can solve this by observing some pattern.

The powers ending in 4 as unit digit are:

${8}^{2} , {8}^{6} , {8}^{10} , {8}^{14} , {8}^{20} ,...$

The exponents form the sequence:

2,6,10,14,20,...

We need to check if 62 belongs to this sequence.

This is an arithmetic sequence with a common difference of 4 and a first term of 2.

The explicit formula is

$2 + 4(n - 1)$

We equate this to 62 and solve for n.

$2 + 4(n - 1) = 62 \\ 4(n - 1) = 60 \\ n - 1 = 15 \\ n = 16$

Since n is a natural number, 62 belongs to the sequence.

Hence

${8}^{62}$

will have a unit digit of 4.

4 0

3 years ago

How many triangles are there that satisfy the conditions a =13, b =9, A = 62°?

8_murik_8 [283]

Answer:

Step-by-step explanation:

Alright, lets get started.

Using sin Law,

$\frac{sinA}{a}=\frac{sinB}{b}$

Plugging the value of a, b and angle A

$\frac{sin62}{13}=\frac{sinB}{9}$

$sinB=\frac{9*sin62}{13}$

$sinB=\frac{9*0.8829}{13}$

$sinB=0.61127$

taking sin inverse on both sides

$B=sin^{-1}(0.61127) =37.68$

The may be another value of B that will called B' = $180-37.68=142.32$

We will not consider this B' value because the um of angle B' and A will exceeds 180 degree ( $142.32+62=204.32$ )

Thats why only one triangle is possible. : Answer

Hope it will help :)

5 0

3 years ago

What is the measure of each exterior angle of the right triangle? x = y = z =

Nuetrik [128]

Answer:

x = 90

y = 134

z = 136

Step-by-step explanation:

Sum of interior angles of a triangle are 180

Linear angles are 180

So 180 - 90 = 90

180 - 44 = 136

180 - 90-44 = 46

180 - 46 = 134

3 0

3 years ago

Graph the function in the image.

il63 [147K]

Answer:

Here is the graph to the intercepts.

Step-by-step explanation:

Graph of (6, 4), (4, 3), (-2, 0)

Hope it helps :)

8 0

3 years ago