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3 years ago

How to do radicals in a 45-45-90 triangle?

Mathematics

2 answers:

nikklg [1K]3 years ago

5 0

1:1: square root 2

that is it.

leva [86]3 years ago

5 0

If the question is to find the value of u and v, use sin-cos-tan ratio to solve it

Find the value of v
v/12 = tan 45°
v/12 = 1
v = 12
The value of v is 12

Find the value of u
sin 45° = v/u
u = v/sin 45°
u = 12/(√2/2)
u = 24/√2
rationalize
u = 24/√2 × √2/√2
u = 12√2
The value of u is 12√2

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Tickets to a school play are $4.50 for an adult and $3.00 for a student. If 300 tickets are sold and $1087.50 collected, how man

Kryger [21]

Answer:

<h2>125 tickets for an adult</h2><h2>and 175 tickets for a student</h2>

Step-by-step explanation:

$a-\text{number of the tickets for an adult}\\s-\text{number of the tickets for a student}\\\\(1)\qquad a+s=300\\(2)\qquad4.5a+3s=1087.5\\------------\\(1)\\a+s=300\qquad\text{subtstitute}\ s\ \text{from both sides}\\a=300-s\\\\\text{Put it to (2):}\\\\4.5(300-s)+3s=1087.5\qquad\text{use distributive property}\\\\(4.5)(300)+(4.5)(-s)+3s=1087.5\\\\1350-4.5s+3s=1087.5\qquad\text{subtract 1350 from both sides}\\\\-1.5s=-262.5\qquad\text{divide both sides by (-1.5)}\\\\\boxed{s=175}$

$\text{Put the value of}\ s\ \text{to (1):}\\\\a=300-175\\\\\boxed{a=125}$

3 0

2 years ago

Help please!<br> Thank you!!

umka2103 [35]

Answer:

i dont know what it is

Step-by-step explanation:

maybe a

3 0

3 years ago

Select all the ordered pairs that satisfy the function y = 3x + 5. A. (2, –1) A. , (2, –1) B. ( –3, –4) B. , ( –3, –4) C. ( 4, 1

Ne4ueva [31]

Answer:

B. ( –3, –4)

C. ( 4, 17 )

Step-by-step explanation:

Function: y = 3x + 5

Using method of elimination

A. (2, –1)

x = 2, y = -1

-1 = 3 (2) + 5

-1 ≠ 11

This option is incorrect!

B. ( –3, –4)

x = -3, y = -4

-4 = 3 (-3) + 5

-4 = - 9 + 5

-4 = -4

This option is correct!

C. ( 4, 17 )

x = 4, y = 17

17 = 3 (4) + 5

17 = 12 + 5

17 = 17

This option is correct!

D. ( 3, 8 )

x = 3, y = 8

8 = 3 (3) + 5

8 = 9 + 5

8 = 14

This option is incorrect!

5 0

3 years ago

Use the volume formula to find the volume of the prism

White raven [17]

Answer:

Step-by-step explanation:

Volume = Length times Width times height

Volume = 3 1/2 * 1 1/2 * 4

3 1/2 * 1 1/2 * 4 = 21

Hence, the answer is C

7 0

2 years ago

Sarah and her friends pick 3 3/4 pints of blueberries after they ate some of the blueberries only 2 1/3 pints remain how many pi

scoundrel [369]

3 3/4 - 2 1/3

get a common denominator of 12

3 3/4 * 3/3 = 3 9/12

2 1/3 * 4/4 = 2 4/12

3 9/12 - 2 4/12=

1 5/12

Answer: they ate 1 5/12 pints

7 0

3 years ago