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3 years ago

Help please, i really need it because its almost due

Mathematics

2 answers:

Maru [420]3 years ago

6 0

Answer:

Option 3 and Option 4

Step-by-step explanation:

A = pi × r²

r² = A/pi

r² = A × (pi^-1)

r = A^½ × pi^-½

r = A^½ × pi/pi^½

nata0808 [166]3 years ago

3 0

Answer:

D sqrt( A ) sqrt(pi) / pi = r

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

To find r

Divide each side of the equation by pi

A / pi = pi r^2 /pi

A / pi = r^2

Take the square root of each side

sqrt(A / pi )= sqrt( r^2)

sqrt(A / pi )= r

We do not like leaving square roots in the denominator, so multiply by sqrt(pi)/sqrt(pi))

sqrt(A / pi ) *sqrt(pi)/sqrt(pi))

sqrt( A ) sqrt(pi) / pi = r

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Identify the 12th term of the arithmetic sequence in which a7 = 40 and a18 = 106.

Lady_Fox [76]

we are given

airthematic sequence

we can use nth term formula

$a_n=a_1+(n-1)d$

n is number of terms

an is nth term

d is common difference

a1 is first term

We are given

a7=40

we can use it

$a_7=a_1+(7-1)d$

$40=a_1+6d$

$a_1+6d=40$

a18 = 106

$a_1_8=a_1+(18-1)d$

$a_1+17d=106$

we can subtract both equations

$a_1+17d-a_1-6d=106-40$

$11d=66$

$d=6$

now, we can find a1

$a_1+6d=40$

we can plug d=6

$a_1+6*6=40$

$a_1=4$

12th term:

$a_1_2=a_1+(12-1)d$

now, we can plug values

$a_1_2=4+(12-1)*6$

$a_1_2=4+66$

$a_1_2=70$

so, 12th term is 70...........Answer

3 0

3 years ago

Jenny’s mother is 5 years older than twice Jenny's age. The sum of their ages is 62 years. This is represented by the equation x

Salsk061 [2.6K]

Answer:

Jenny´s age is 19 and her mother is 43.

Step-by-step explanation:

1. Plug in the first value of the set

41 is different from 62, so Jenny isn´t 12 years old.

2. Plug in the second value of the set

50 is different from 62, so Jenny isn´t 15 years old.

3. Plug in the third value of the set

59 is different from 62, so Jenny isn´t 18 years old.

4. Plug in the fourth value of the set

Therefore Jenny´s 19 years old.

5. Calculate Jenny´s mother age:

As the sum of their ages is 62 ages, we have the following equation

where

x=Jenny´s age

y=Jenny´s mother age

Therefore Jenny's mother age is 43 years old.

pls mark me brainliest

8 0

3 years ago

Y + 1 = -2x-3 in standard form *

notka56 [123]

Answer:

y = -2x - 4

Step-by-step explanation:

y + 1 = -2x - 3

Subtract 1 from both sides to get the y by itself

y = -2x - 3 - 1

Simplify (Combine Like terms)

y = -2x - 4

8 0

3 years ago

Solve the system using substitution: x = -4y and x + 5y = 2 Please and thank you.

Novay_Z [31]

Answer:

x = - 8, y = 2

Step-by-step explanation:

$x = - 4y......(1) \\ x + 5y = 2....(2) \\ plug \: x = - 4y \: in \: equation \: (2) \\ - 4y + 5y = 2 \\ y = 2 \\ plug \: y = 2 \: in \: equation \: (1) \\ x = - 4(2) \\ x = - 8\\$

7 0

3 years ago

Frankie wants to build a path from one corner of his hard to the opposite corner his yard measures 20ft x 32ft what will be the

Papessa [141]

Answer:

37.7 feet

Step-by-step explanation:

Given that:

Measurements of Frankie's yard = 20ft x 32ft

He wants to build a path from one corner to another.

To find:

The length of path = ?

Solution:

Let us consider a rectangle $ABCD$ as shown in the attached image in the answer area.

We are given the two adjacent sides of a rectangle and we have to find diagonal of the rectangle.

To find the diagonal, we can use the Pythagorean Theorem.

We are given the base and perpendicular of the right angled triangle and we have to find the hypotenuse.

According to Pythagorean theorem:

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}$

$Diagonal = 20^2 + 32^2\\\Rightarrow Diagonal = 400 + 1024\\\Rightarrow Diagonal = \bold{37.7\ ft}$

4 0

3 years ago