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3 years ago

14

A rectangle and a square have equal areas. The rectangle has length of 9 cm and width 4 cm. What is the perimeter of the square

in centimeters?

1 answer:

pshichka [43]3 years ago

3 0

Answer:

p = 24 cm

Step-by-step explanation:

9 * 4 = 36

a square with an area of 36 must be 6 inches on each side so P = 6 * 4= 24 cm

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If f(x)=3x-2 and g(x)=x^2+1, find f(g(-1)) and g(f(3))

julsineya [31]

Answer:

$f(g(-1))=4$

$g(f(3))=50$

Step-by-step explanation:

We know the definition of both functions: $f(x)=3x-2$ , and $g(x)=x^2+1$

A) In order to evaluate what $f(g(-1)) is$ , let's first investigate what g(-1) is using the definition for this function:

$g(x)=x^2+1\\g(-1)=(-1)^2+1\\g(-1)=1+1\\g(-1)=2$

Now let's find what f(2) is using f(x) definition: $f(x)=3x-2\\f(2)=3(2)-2\\f(2)=6-2\\f(2)=4$

B) In order to evaluate what $g(f(3)) is$ , let's first investigate what f(3) is using the definition for this function:

$f(x)=3x-2\\f(3)=3(3)-2\\f(3)=9-2\\f(3)=7$

Now let's find what g(7) is using the definition for this function:

$g(x)=x^2+1\\g(7)=(7)^2+1\\g(7)=49+1\\g(7)=50$

4 0

3 years ago

How old were the twins who played in the recital?

inna [77]

To find out how old the twins were that were in the recital you need to be able to interpret a stem and leaf plot. The number of the left gets placed with each number on the right to create a number in the data set. See the key for an example. This means there were 2 people that were 5 years old making them the twins!

3 0

3 years ago

May I please have help? It would be very much appreciated! see attached file somewhere around this question.

noname [10]

Answer:

Step-by-step explanation:

r = 8 units

Area = (1/4)πr²

$=\frac{1}{4}*3.14*8*8\\\\=3.14*8*2\\\\= 50.24 square units\\$

8 0

3 years ago

Read 2 more answers

HELP!!! Simplify cos^2 0 -1/ 4sin^2 0?

Shkiper50 [21]

We need to simpify the given expression. The given expression to us is ,

<u>Given </u><u>Expression</u><u> </u><u>:</u><u>-</u><u> </u>

$\sf\implies \dfrac{ cos^2\theta -1}{4 \ sin^2\theta }$

<u>Using </u><u>Identity</u><u> </u><u>:</u><u>-</u><u> </u>

$\sf\implies \red{ sin^2\theta + cos^2\theta = 1}$

<u>So </u><u>that</u><u> </u><u>:</u><u>-</u><u> </u>

$\sf\implies - sin^2\theta = cos^2\theta -1$

<u>We </u><u>have</u><u> </u><u>:</u><u>-</u><u> </u>

$\sf\implies \dfrac{ cos^2\theta -1}{4 \ sin^2\theta } \\\\\sf\implies\dfrac{ - sin^2\theta}{4sin^2\theta}=\boxed{\sf -\dfrac{1}{4}}$

<u>Hence </u><u>the</u><u> </u><u>required</u><u> answer</u><u> is</u><u> </u><u>-</u><u>1</u><u>/</u><u>4</u><u>. </u>

5 0

3 years ago

Which equations are true equations? Select all correct answers. Responses 15052=30−42−12 150 over 5 squared equals 30 minus 4 sq

Helen [10]

All the correct answers of the equations using order of operations are;

B. 8⋅7 ÷ 2 − 12 = 22 − 2⋅3

C. 48 ÷ 8 + 2³ = 5 + 3²

<h3>How to use order of operations?</h3>

The rule used for order of operations is PEMDAS and it states that the order of operation starts with the calculation enclosed in brackets or the parentheses first. Exponents (degrees or square roots) are then operated on, followed by multiplication and division operations, and then addition and subtraction.

Using the PEMDAS rule, the solutions would be as follows:

A. 9² − 7² = 20 ÷ (7 − 2)

81 - 49 = 20 ÷ 5

32 = 4

Thus, this is not true.

B. 8⋅7 ÷ 2 − 12 = 22 − 2⋅3

56 ÷ 2 − 12 = 22 - 6

28 - 12 = 16

16 = 16

Thus, this is true.

C. 48 ÷ 8 + 2³ = 5 + 3²

6 + 2³ = 5 + 9

6 + 8 = 14

14 = 14

Thus, this is true.

D. 150 ÷ 5² = 30 − 4² − 12

150 ÷ 25 = 30 − 16 − 12

6 = 30 - 28

6 = 2

Thus, this is not true.

Read more about Order of operations at; brainly.com/question/550188

#SPJ1

Complete question is;

Which equations are true equations? Select all correct answers.

A. 9² − 7² = 20 ÷ (7 − 2)

B. 8⋅7 ÷ 2 − 12 = 22 − 2⋅3

C. 48 ÷ 8 + 2³ = 5 + 3²

D. 150 ÷ 5² = 30 − 4² − 12

8 0

1 year ago