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2 years ago

Negate the statement, "Some square roots are rational numbers."

Mathematics

1 answer:

gregori [183]2 years ago

6 0

"Some square roots are not rational numbers"

Concept used:

In mathematics, the term "negate " refers to the opposite of a given mathematical statement or a contradiction to the given statement.

For Example: The negate of " Raj is a boy " is " Raj is not a boy".

Given statement: "Some square roots are rational numbers".

Negate of the given statement: "Some square roots are not rational numbers".

Learn more about negation:

brainly.com/question/10252804

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Terry bought 5 pounds of strawberries for $15. Which equation can be used to find the cost per pound of strawberries,x?

Brums [2.3K]

Answer:

5x=15

Step-by-step explanation:

5pounds times the price per pound (x) equals $15

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3 years ago

Which of the following is NOT an integer? A. 8/2 B. 1/4 C. 0 D. -5

vovangra [49]

Answer:

B. 1/4

Step-by-step explanation:

Even though A is a fraction it is also an integer (4)

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2 years ago

A geometric sequence is defined by the equation an = (3)3 − n.

Delvig [45]

PART A

The geometric sequence is defined by the equation

$a_{n}=3^{3-n}$

To find the first three terms, we put n=1,2,3

When n=1,

$a_{1}=3^{3-1}$

$a_{1}=3^{2}$

$a_{1}=9$
When n=2,

$a_{2}=3^{3-2}$
$a_{2}=3^{1}$

$a_{2}=3$

When n=3

$a_{3}=3^{3-3}$

$a_{3}=3^{0}$
$a_{1}=1$
The first three terms are,

$9,3,1$

PART B

The common ratio can be found using any two consecutive terms.

The common ratio is given by,
$r= \frac{a_{2}}{a_{1}}$
$r = \frac{3}{9}$

$r = \frac{1}{3}$

PART C

To find
$a_{11}$

We substitute n=11 into the equation of the geometric sequence.

$a_{11} = {3}^{3 - 11}$

This implies that,

$a_{11} = {3}^{ - 8}$

$a_{11} = \frac{1}{ {3}^{8} }$

$a_{11}=\frac{1}{6561}$

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3 years ago

The perimeter of the dodecagon is 54 cm. by joining every other vertex of the dodecagon a hexagon is formed. if each side of the

lawyer [7]

Answer:

x = 8.69

Step-by-step explanation:

we know that the perimeter of the dodecagon is 54, so each edge will be 54/12

54/12 = 4.5 cm

if we draw the lines to remove 6 vertices and form a hexagon, 6 triangles with 2 sides of 4.5 cm are formed.

we know that the angle of each vertex is 150 ° because it is a dodecagon

if we apply the law of cosines we can take the other side of the triangle, since we only need 2 side and the opposite angle to the side we want to know

a would be our x

b = 4.5

c = 4.5

A = 150°

a^2 = b^2 + c^2 - 2bc * cos (A)

x^2 = 4.5^2 + 4.5^2 - 2 * 4.5 * 4.5 * cos (150)

x^2 = 20.25 + 20.25 - 40.50 * -0.866

x^2 = 40.50 + 35.07

x = √ 75.57

x = 8.69

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2 years ago

What is the domain of the function on the graph?

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2 years ago