a box in the shape of a rectangular prism has the dimensions shown. what length of the interior diagonal of the box? round to the nearest tenth.
100 cm
80 cm
60 cm

Answer:

AC = 10

Step-by-step explanation:

This is a right triangle

use the pythagorean theorem

a² + b² = c²

6² + 8² = c²

36 + 64 = c²

100 = c²

Take the square root of both sides

10 = c

AC = 10

The correct answer is 10 not 12

Answer:

Translation down 5 units.

Step-by-step explanation:

The - 5 results in a shift of the whole graph down 5 units.

Each value of g(x) is 5 units less f(x).

Answer:

< B = 180-30-65=85°

< E = 85°

< D = 30°

< C = 65°

BC = 20/35 × 28 = 16

Answer:

<D = 30

< C = 65

<B = <E = 85

16 = BC

Step-by-step explanation:

ABC ~ Triangle DEF

<A = <D = 30

< C = <F = 65

Since they are similar triangles

A+ C + B = 180 since the angles of a triangle = 180

30+65+B =180

95+ B = 180

<B = 180 -95 = 85

<B = <E = 85

The triangles are similar so the sides are proportional

AB      BC

----  = ---------

DE      EF

20      BC

----  = ---------

35      28

Using cross products

20*28 = 35 BC

Divide each side by 35

20*28/35 = 35/35 BC

16 = BC

Answer:

end behavior

Step-by-step explanation:

Answer:

Hi, there for x it will be x=−2y+6

But if your solving for y it will be [tex]y=-\frac{1}{2}x+3[/tex]

Hope this Helps :)

Step-by-step explanation:

Let's solve for x.

2x+4y=12

Step 1: Add -4y to both sides.

2x+4y+−4y=12+−4y

2x=−4y+12

Step 2: Divide both sides by 2.

[tex]\frac{2x}{2}=\frac{-4y+12}{2}[/tex]

x=−2y+6

2.

Let's solve for y.

2x+4y=12

Step 1: Add -2x to both sides.

2x+4y+−2x=12+−2x

4y=−2x+12

Step 2: Divide both sides by 4

[tex]\frac{4y}{4} =\frac{-2x+12}{4}[/tex]

[tex]y=-\frac{1}{2} x+3[/tex]

Answer:

2) 40

Step-by-step explanation:

the perimeter of Rhombus =

4 × (√(12/2)²+(16/2)² )

= 4× (√6²+8²)

= 4× (√100)

= 4×10

= 40

Q) 4 × (√(12/2)²+(16/2)² )

→ 4 × (√6²+8²)

→ 4 × (√100)

→ 4 × 10

→ 40 is the perimeter of rhombus.

Answer:

[see below]

Step-by-step explanation:

Vertical angles are simply opposite angles that are made from intersecting lines.

The most appropriate pairs would be vertical pairs:

∠NSI and ∠TSW

∠NST and ∠ISW

The angles are opposite of each other and formed from the two lines.

Hope this helps.

Answer:

true

Step-by-step explanation:

You can see that the MNO triangle is similar to MKL  then  [tex]\displsystyle\ \frac{NO}{KL} =\frac{x}{ML} => \frac{12}{22} =\frac{x}{27,5} => x=\frac{12\cdot 27,5}{22} =15[/tex]                                                                  [tex]\displaystyle\ Answer: \boxed{x=15}[/tex]

Step-by-step explanation:

the length of AB = √(9+3)²+(5-9)²

= √144+16=√180 = 6√5

the length from A to E = ⅜× 6√5

= 2.25 √5 or 5.03

Length of AB,

→ √(9+3)² + (5-9)²

→ √144+16

→ √180

→ 6√5

Length from A to E,

→ ⅜ × 6√5

→ 2.25 √5

→ 5.03

Answer:

Step-by-step explanation:

I dont know which b and c you are talking about, so...

3) b) 8, c) 19

4) b) 10, c) 16

Hope its helps u

Thank You

Please mark as brainliest

Replace c with 3:

3^5 = 3 x 3 x 3 x 3 x 3 = 243

The answer is 243

Answer:

15

Step-by-step explanation:

c5

3(5)

3 x 5

15

Answer:

First Box: -10/5

Second Box = -1.25

Third Box = -0.5

Fourth Box = 0.75

Fifth Box = 3/2

Step-by-step explanation:

NOTE: I AM SAYING THIS FROM LEFT TO RIGHT

Answer:

The first box should be -[tex]\frac{10}{5}[/tex] ;

The 2nd box should be -1.25 ;

The 3d box should be -0.5 ;

The 4th box should be 0.75 ;

The 5th box should be 3/2 which is the last box left.

Write the scale of the drawing as a fraction. Put the shorter length in the numerator.

[tex] \frac{7 \: cm}{1 \: cm} \\ [/tex]

First convert the denominator to the same units as the numerator. Write an equivalent fraction with centimeters in the denominator. Since 1 meter is equal to 100 centimeters, multiply the denominator by 100 to get centimeters in the denominator.

[tex] \frac{7 \: cm}{100 \: cm} = \: \frac{7}{100} \\ [/tex]

Write the scale factor as a ratio, using a colon

7/100   →  7:100

The scale factor is 7:100.

[tex] \\ [/tex]

#CarryOnLearning!

Answer:

1. The preimage and image are congruent

2. Any line segment connecting the corresponding points between the preimage and image is bisected by the line of reflection

3. Corresponding angles on the preimage and image are congruent

4. Corresponding points of the preimage and image are equidistant from the line of reflection.

Answer:

E

Step-by-step explanation:

Label the two equations:

4p +3q +2r= 3 -----(1)

-4p -2q -2r= 4 -----(2)

(1) +(2):

4p +3q +2r -4p -2q -2r= 3 +4

Grouping like terms together:

4p -4p +3q -2q +2r -2r= 7

Simplify:

q= 7

Answer:

3(b+2)balls

Step-by-step explanation:

Given data

number of bags of golf balls= 3

number of balls in each bag=b

total number of balls in all three bags= 3b

His friend gave him 6 more= 3b+6

Hence the total balls is = 3b+6

= 3(b+2)balls

Answer:

x = 25.7

Step-by-step explanation:

We know the adjacent side to the angle and the hypotenuse on a right triangle

cos theta = adj / hyp

cos 18 = x/27

27 cos 18 =x

25.67852594=x

Rounding to the nearest tenth

x = 25.7

Answer:

Step-by-step explanation:

Skewed left

50-60 and 60-70

8

Answer:

1/3 kilograms

Step-by-step explanation:

Answer:

Step-by-step explanation:

Draw two lines vertically down from side "A" to "B"...you now have three objects ... to triangles, and one rectangle.... the area of the rectangle is "AH"...now you have two triangles, that have area 1/2 base*height... the height is "H" and the base .... well it is (B-A)/2... so the area of the two triangles are ..... (2)*(1/2)*((B-A)/2)* H.... The total area is .... AH + (2)*(1/2)*((B-A)/2)* H .... 2* 1/2 = 1 so now we have AH +   ((B-A)/2)* H .... to help see this let us write it as AH + H(B-A)/2 .. expand the right H.... AH + BH/2 - AH/2.......

you end up with : AH - AH/2 + AB/2 ...

AH - AH/2 =  AH/2

BH/2 = BH/2

final answer : AH/2 + BH/2

factor out the 1/2 and H ..... 1/2 H (A+B)

Answer:

[tex]f(x)^{-1}=\frac{x-1}{2}[/tex]

Step-by-step explanation:

start by replacing f(x) for y:

y = 2x + 1

switch y and x:

x = 2y+1

solve for x by first subtracting 1 from both sides:

2y = x-1

divide 2 from both sides:

y = [tex]\frac{x - 1}{2}[/tex]

replace y with [tex]f(x)^{-1}[/tex]:

[tex]f(x)^{-1}=\frac{x-1}{2}[/tex]

Answer:

please write in the comments ,the total minutes she spent in the gym , then only we can solve the answer , without total minutes we cannot solve this question

Answer:

13 minutes lifting weights.

Step-by-step explanation:

Diana spent a total of 25 minutes and spent 12 more minutes running than she did lifting weights. So if you subtract 25 from 12 you get 13.

Answer:

Slope of the line, m = 4/3

Step-by-step explanation:

Given;

4x - 1 = 3y + 5

Make y the subject

4x - 1 = 3y + 5

4x - 3y = 5 + 1

4x - 3y = 6

-3y = 6 - 4x

Divide both sides by -3

y = (6 - 4x) / -3

y = -2 + 4/3x

Slope intercept form is given by

y = mx + b

Where,

m = slope

y = - 2 + 4/3x

m = 4/3

Slope of the line, m = 4/3

Answer:

Above answer is INCORRECT.

The CORRECT answer is 2/3

Step-by-step explanation:

Answer: in picture

Step-by-step explanation:

Sorry if I got something wrong

Answer:

116

Step-by-step explanation:

x-2 take -2 to the other side which will be +2 thus sub +2 into the quotient and calculate

Answer:

3 m

Step-by-step explanation:

A hexagon has six sides.

3m x 6 = 18 m