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3 years ago

May someone help me on this question please

Mathematics

1 answer:

RSB [31]3 years ago

3 0

It would be 1/52 because that is a specific card and there's only one of it

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Which quadrilaterals have perpendicular diagonals. A) Rhombus, Rectangle and Kite B) Rectangle, Square and Isosceles Trapezoid C

Elina [12.6K]

Answer:

C) Square, Rhombus and Kite

Step-by-step explanation:

These are due to the fact that the square has all its equal sides and is 4 sides, so its diagonals will always be perpendicular.

The rhombus also has all its equal sides and are 4 sides so its diagonals will always be perpendicular.

The kite does not have its four equal sides, but its vertices are constructed from its diagonals that cross perpendicularly, so it also meets the perpendicular diagonals

4 0

3 years ago

Read 2 more answers

What is the value of the fourth term in a geometric sequence for which ay =

enot [183]

Answer:

a₄ = 1.25

Step-by-step explanation:

Given that,

First term of GP, a₁ = 10

The common ration of GP, r = 0.5

The nth term of the GP is given by :

$a_4=a_1r^{n-1}\\\\a_4=a_1r^3\\\\a_4=10\times (0.5)^3\\\\a_4=10\times 0.125\\\\a_4=1.25$

So, the fourth term of the GP is 1.25.

5 0

3 years ago

What is the x and y intercept of y + 12 = 5(x-4)

aalyn [17]

Answer:

x-intercept: $(\frac{32}{5},0)$

y-intercept: (0,-32)

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x . To find the y-intercept, substitute in 0 for x and solve for y .

5 0

3 years ago

Find the 75th term of the arithmetic sequence -17, -13, -9....

Sphinxa [80]

Answer:

The 75th term of the arithmetic sequence -17, -13, -9.... is:

$a_{75}=279$

Step-by-step explanation:

Given the sequence

$-17, -13, -9....$

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

computing the differences of all the adjacent terms

$-13-\left(-17\right)=4,\:\quad \:-9-\left(-13\right)=4$

The difference between all the adjacent terms is the same and equal to

$d=4$

The first element of the sequence is:

$a_1=-17$

now substitute $d=4$ and $a_1=-17$ in the nth term of the sequence

$a_n=a_1+\left(n-1\right)d$

$a_n=4\left(n-1\right)-17$

$a_n=4n-21$

Now, substitute n = 75 in the $a_n=4n-21$ sequence to determine the 75th sequence

$a_n=4n-21$

$a_{75}=4\left(75\right)-21$

$a_{75}=300-21$

$a_{75}=279$

Therefore, the 75th term of the arithmetic sequence -17, -13, -9.... is:

$a_{75}=279$

3 0

3 years ago

Trent's salary used to be $143,020. After changing the amount of time he works, he has begun earning $78,661. By what percent di

aliina [53]

Answer:

The salary decreased by 45%

Step-by-step explanation:

Given,

The previous salary of Trent is $143,020

The current salary of Trent is $78,661

The decrease in salary is $143,020 - $78,661 = $64,359

When he used to get $143,020, the decrease in salary is = $64,359

When he used to get $1, the decrease in salary is = $64,359/$143,020

When he used to get $100, the decrease in salary is = $64,359*100/$143,020

= $64,35900/$143,020

= 45%

8 0

3 years ago