2. What is the longest poster you could fit in the
box? Express your answer to the nearest tenth of
an inch.

Answer:

First option: [tex]13 \sqrt{2} [/tex]

Step-by-step explanation:

[tex]cosθ = \frac{adj}{hyp} [/tex]

[tex]cos45° = \frac{13}{y} [/tex]

Multiply both sides by y:

[tex]y(cos45°) = 13[/tex]

[tex]y ( \frac{ \sqrt{2} }{2} ) = 13[/tex]

[tex]y = 13 \div \frac{ \sqrt{2} }{2} [/tex]

[tex]y = 13 \times \frac{2}{ \sqrt{2} } [/tex]

[tex]y = \frac{26}{ \sqrt{2} } ( \frac{ \sqrt{2} }{ \sqrt{2} } )[/tex]

[tex]y = \frac{26 \sqrt{2} }{2} [/tex]

[tex]y = 13 \sqrt{2} [/tex]

Option A

[tex]{\pink{y = 13 \sqrt{2}}}[/tex]

[tex] \sf{cosθ= \frac{ B}{C} }[/tex]

[tex] \dashrightarrow \sf \: {cos45° = \frac{13}{y} }[/tex]

Multiply both sides by y:

[tex] \sf \ \: y(cos45°) = 13y(cos45°)=13[/tex]

[tex] \sf \: y ( \frac{ \sqrt{2} }{2} ) = 13[/tex]

[tex]\implies \sf \: y = 13 \div \frac{ \sqrt{2} }{2}[/tex]

[tex] \sf \implies \: y = 13 \times \frac{2}{ \sqrt{2} }[/tex]

[tex] \implies \sf \: y = \frac{26}{ \sqrt{2} } ( \frac{ \sqrt{2} }{ \sqrt{2} } )[/tex]

[tex] \implies \sf y = \frac{26 \sqrt{2} }{2}[/tex]

[tex] \sf \boxed {\pink{y = 13 \sqrt{2}}}[/tex]

Answer:

Step-by-step explanation:

Volume of a pyramid = [tex]\frac{1}{3}(\text{Area of the rectangular base})(\text{Height})[/tex]

Area of the rectangular base = Length × Width

                                                = 8 × 6

                                                = 48 mm²

Volume of the pyramid = 192 mm³

192 = [tex]\frac{1}{3}(48)h[/tex]

h = [tex]\frac{192}{16}[/tex]

h = 12 mm

Therefore, all the pyramids having height less than 12 mm will be fitted inside the given pyramid.

   Height of the box(mm)        Yes/No

                    10                             Yes

                    13                              No

                     8                             Yes

Answer:

15 cm

Step-by-step explanation:

i had this question before

Answer:

Bx72

Step-by-step explanation:

Hope this helps

Answer:

it is asking what name of this solution is and how to solve it

Step-by-step explanation:

Answer:

x < 25

Step-by-step explanation:

ayee

Answer:

Your answer is S

Step-by-step explanation:

You move 5 to the left on the X axis, side to side.

Then you move 5 down on the Y axis, up and down.

Answer:

Step-by-step explanation:

if x=-3 is axis of symmetry then

(x+3)²=0

x²+6x+9=0

so b =6

Answer:

V = 18.84 units³

Step-by-step explanation:

The formula for the volume of a cone of base radius r and height h is

V = (1/3)(pi)(r²)(h).

Here, with pi = 3.14, r = 3 and h = 2, we get:

V = 18.84 units³

C. (-1, -1)

Step-by-step explanation:

hope this helps ya :)

Answer:

(0,1) point C

Step-by-step explanation:

the line segment PQ is divided into 5 parts ( 3parts +2 parts)

Is very important that you keep the direction correct from P to Q

The point C divides the PQ into 3:2 ratio

(0, 1) is the point that divides the line segment directed from P to Q in the ration of 3 : 2.

Vectorially speaking, we determine the the location of the point that divides the line segment in the ratio of [tex]a : b[/tex].

[tex]R(x,y) = P(x,y) + \frac{a}{a+b}\cdot [Q(x,y) - P(x,y)][/tex] (1)

Where:

If we know that [tex]P(x,y) = (-3, -2)[/tex], [tex]Q(x,y) = (2, 3)[/tex], [tex]a = 3[/tex] and [tex]b = 2[/tex], then the location of the resulting point:

[tex]R(x,y) = (-3, -2) + \frac{3}{5}\cdot [(2,3)-(-3,-2)][/tex]

[tex]R(x,y) = (-3,-2) +\frac{3}{5}\cdot (5, 5)[/tex]

[tex]R(x,y) = (-3, -2) + (3,3)[/tex]

[tex]R(x,y) = (0, 1)[/tex]

(0, 1) is the point that divides the line segment directed from P to Q in the ration of 3 : 2.

We kindly invite to check this question on line segments: https://brainly.com/question/23297288

Answer:

1.) 2√42

2.)  31.7

3.) 26.3

4.) 67.1

5.) 60

6.) 6√2

Step-by-step explanation:

Use pythagorean theorem

a^2+b^2=c^2

Answer:

At least means... From 45$ above or It should be equal to 45 or More...

7x≥45

x≥45/7

He need to Move at least 7 lawns.

Answer:

71

Step-by-step explanation:

refer the attachment

to solve the question we need to recall one of the most important theorem of circle known as two tangent theorem which states that tangents which meet at the same point are equal that is being said

since [tex]\rm BA=FA+FB[/tex] and it's given that FA and BA are 17 and 29 FB should be

therefore,

once again by two tangent theorem we acquire:

As BC=BH+CH,BC is

likewise,AD=AI+DI so,

thus,

By the theorem we obtain:

Similarly,DC=DG+CH therefore,

Now finding the Perimeter of ABCD

substitute what we have and got

simplify addition:

hence,

the Perimeter of ABCD is 71

Answer:

60.04

Step-by-step explanation:

I got the tax amount and tip amount and added them.

Answer:

Step-by-step explanation:

cost of meal=$52

tax=52×7 %=3.64$

tip=52×20%=10.40$

total cost of meal=52+3.64+10.40=66.04 $

Answer:

48 cm^2

Step-by-step explanation:

The area of a trapezoid is calculated using the following formula :

(a+b)2*h (a: base, b: base, h: height)

(8+16)/2*4 = 48 cm^2

Answer:

-27

Step-by-step explanation:

just did it

the answer is

Answer:

The y-variable will be eliminated when adding the system of equations.

There is only one solution to the system of equations.

Step-by-step explanation:

-x + 6y = 16 (1)

8x - 6y = -2 (2)

Add the equations to eliminate y

-x + 8x = 16 +(-2)

7x = 16 -2

7x = 14

x = 14/7

x = 2

Substitute x = 2 into (1)

-x + 6y = 16 (1)

-2 + 6y = 16

6y = 16 + 2

6y = 18

y = 18/6

y = 3

(x, y) = (2, 3)

Answer:

B and F

Step-by-step explanation:

Step-by-step explanation:

ʜᴏʟᴀ ɪᴅɪᴏᴛᴀ

ᴇsᴛᴜᴘɪᴅᴏ ᴇsᴛᴜᴘɪᴅᴏᴏ sᴏ ᴘᴀᴛʜᴇᴛɪᴄᴏ

Answer: [tex]n>1[/tex]

Step-by-step explanation:

Given

The product of 4 times n is greater than 4 i.e.

[tex]\Rightarrow 4\times n>4\\\text{Dividing both side of inequality by 4}\\\\\Rightarrow \dfrac{4n}{4}>\dfrac{4}{4}\\\\\Rightarrow n>1[/tex]

It can be said that the value of n must be greater than 1.

Answer:

A) x^1/6 + 2x^2/33

Answer:

I think its the last one

Step-by-step explanation:

(x^(2))/(6)+(2x^(3))/(3)

Answer:

18 times

Step-by-step explanation:

Half of the possibilities you can roll are correct. so 18 out of 36 times you roll an odd number.

You could also look at it another way. You can expect to roll each number 6 times, so the 3 odd numbers added together is 18 times.