18 ÷ (6 + 1 - 1) + 2 =

Find the length of side a. 5 3 O A. 16 O B. 34 O c. 2 O D. 4

xxMikexx [17]

Answer:

D

Step-by-step explanation:

a= $\sqrt{c^{2} -b^{2} }$

$\sqrt{5^{2} -3^{2} } =$ 4

a=4

5 0

2 years ago

The perimeter of a rectangle is 54 feet. The area of the rectangle is 176 square feet. Find the dimensions of the rectangle.

Murrr4er [49]

11 by 16

Explanation:

Set up two equations

2

x

+

2

y

=

54

x

×

y

=

176

Solving the first equation for x

2

x

+

2

y

−

2

y

=

54

−

2

y

this gives

2

x

=

54

−

2

y

Divide both sides by 2

(

2

x

2

)

=

54

−

2

y

2

This gives.

x

=

27

−

y

putting this value into the second equation gives.

(

27

−

y

)

×

y

=

176

multiplying across the parenthesis gives

27

y

−

y

2

=

176

subtracting 176 from both sides gives

is

27

y

−

y

2

−

176

=

0

multiplying by negative one gives

−

27

y

+

y

2

+

176

=

0

factoring this into y gives

(

y

−

11

)

×

(

y

−

16

)

=

0

Solving for both y's gives

y

=

11

,

y

=

16

6 0

2 years ago

What are the odds against picking a red marble from a bag of 10 green marbles, 10 yellow marbles, and 5 red marbles?

N76 [4]

5 out of 25
pick the chance over
add all possibilities

3 0

3 years ago

Read 2 more answers

Evaluate each logarithm. 100 Points for all questions.

seraphim [82]

Basic properties that will be used:

$\log_ab^n=n\log_ab$

$x^{1/n}=\sqrt[n]x$

$\log_aa=1$

All of these expression can be written to match on or more of the patterns above.

$19.\quad\log_5\sqrt[4]{25}=\log_5(5^2)^{1/4}=\dfrac14\log_55^2=\dfrac12\log_55=\dfrac12$

$21.\quad9\ln e^3+4\ln e^5=27\ln e+20\ln e=27+20=47$

$23.\quad2\log_3\sqrt{27}=2\log_3(3^3)^{1/2}=\log_33^3=3\log_33=3$

$25.\quad4\log_2\sqrt8=4\log_2(2^3)^{1/2}=2\log_22^3=6\log_22=6$

$27.\quad\log_3\sqrt[6]{243}=\log_3(3^5)^{1/6}=\dfrac16\log_33^5=\dfrac56\log_33=\dfrac56$

3 0

3 years ago

Read 2 more answers

Bobs age is 4 times greater than Suzanne's age Dakota is 3 years younger than Suzanne the sum of Bob Suzanne and Dakota sage is

Elden [556K]

Answer:He is twelve

Step-by-step explanation:

First you multiply 4*3 and then you get your answer

7 0

3 years ago