A storage box is 60 cm long, 45 cm wide, and 30 cm high. The lid is 10 cm high. What is the surface area of the box and its lid?

Answer: i have had this question before and got it right but i forgot i wish i could help

Step-by-step explanation:

Answer:

y = mx + b, where m is gradient and b is y-intercept

y = 3

y = 3x + b

To find b use the coordinate (3, 7) to find b

7 = 3(3) + b

b = 7 - 9

b = -2

Therefore, the equation will be:

Therefore, the equation will be:y = 3x - 2

Step-by-step explanation:

.

Answer:

See below ~

Step-by-step explanation:

Part (a) :

Part (b) :

Answer:

(a) The length is 85 m.

(b) The width is 89 cm.

Step-by-step explanation:

(a)

Perimeter (P) formula using the length (L) and width (W) of a rectangle.

P = 2L + 2W

P = 278 m

W = 54 m

278 = 2L + 2(54)

2L + 108 = 278

2L = 170

L = 85

Answer: The length is 85 m.

(b)

Area (A) formula using the length (L) and width (W) of a rectangle.

A = LW

A = 8811 cm²

L = 99 cm

8811 = 99 × W

W = 8811/99

W = 89

Answer: The width is 89 cm.

Answer:

Step-by-step explanation:

Problem 12

Comment

A cyclic quadrilateral (a 4 angled quadrilateral where all 4 corners touch the circumference of a circle), has the property that opposite angles add up to 180 degrees.

Formula

4x + 9 + 3x + 3 = 180                            Collect like terms

Solution

4x + 3x + 9 + 3 = 180                            Combine

7x + 12 = 180                                         Subtract 12 from both sides

7x + 12 -12 = 180 - 12                            Combine

7x = 168                                                Divide by 7

7x/7 = 168/7

x = 24

Answer

x = 24

Problem 13

Comment

Same comment as was given for problem 12

Formula

3x + 2 + 3x - 32 = 180              Collect like terms

Solution

3x + 3x +2 - 32 = 180               Combine

6x - 30 = 180                            Add 30 to both sides

6x -30+30 = 180 + 30

6x = 210                                   Divide by 6

6x/6 = 210/6

x = 35                            

Answer

x = 35

Hey there!

[QUESTION #12]
EQUATION: 4x + 9 + 3x + 3 = 180°

4x + 9 + 3x + 3 = 180°

COMBINE the LIKE TERMS

(4x + 3x) = (9 + 3) = 180°
4x + 3x + 9 + 3 = 180°

7x + 12 = 180°

SUBTRACT 12 to BOTH SIDES

7x + 12 - 12 = 180 - 12

SIMPLIFY IT!
7x = 180 - 12

7x = 168

DIVIDE 7 to BOTH SIDES

7x/7 = 168/7

SIMPLIFY IT!
x = 168/7

x = 24

Therefore, the answer should be:

x = 24

[QUESTION #13]

EQUATION: 3x + 2 + 3x - 32 = 180°

3x + 2 + 3x - 32 = 180°

COMBINE the LIKE TERMS

(3x + 3x) + (2 - 32) = 180°
3x + 3x + 2 - 32 = 180°

6x - 30 = 180°

ADD 30 to BOTH SIDES

6x - 30 + 30 = 180 + 30

SIMPLIFY IT!
6x = 180 + 30

6x = 210

DIVIDE 6 to BOTH SIDES

6x/6 = 210/6

SIMPLIFY IT!
x = 210/6

x = 35

Therefore, the answer should be:

x = 35

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

The answer is 100 degrees.

Step-by-step explanation:

Step 1. Set up the equation 20x+25x=180
Step 2. Simplify to get 45x=180
Step 3. Divide 180 by 45 to get 4.
Step 4. Do 25x4 to get an answer of 100.
I hope this helps! :)

Answer:

B: isosceles

Step-by-step explanation:

Two angles of an isosceles acute triangle measure the same.

Answer:

Step-by-step explanation:

a, First arrange the data in ascending order:

77 79 80 81 84 84 86 88 92 95  <-- ten numbers.

Mean = sum of the numbers / 10

= 846/10

= 84.6.

The median is the middle number in the ordered list, or if there are an even number of values, the mean of the 2 middle numbers. There are 10 numbers here, so the median = (84+84)/2 = 84

Median = 84.

The mode is the value that occurs most. Here we have 2 84's so

Mode = 84.

Parts b to d are done in the same way as for the above, note if there is no mode write None.

For the stem leaf  data first write out individual vales and then proceed as in a).

Values =  31 32 40 41 43 44 45 46 47 51 54 52 60 66

[tex] \sin {}^{2} (x) + {cos}^{2} (x) = 1[/tex]

[tex] {sin}^{2} (x) = 1 - {cos}^{2} (x)[/tex]

[tex] {sin}^{2} (x) = 1 - ({ \frac{ - 7}{9} })^{2} \\ [/tex]

[tex] {sin}^{2} (x) = 1 - \frac{49}{81} \\ [/tex]

[tex] {sin}^{2} (x) = \frac{81}{81} - \frac{49}{81} \\ [/tex]

[tex] {sin}^{2} (x) = \frac{32}{81} \\ [/tex]

[tex] \sin(x) = ± \sqrt{ \frac{32}{81} } \\ [/tex]

_____________________________________________

[tex] \tan(x) < 0 \: \: \: and \: \cos(x) < 0[/tex]

Thus :

[tex] \sin(x) > 0[/tex]

So we have :

[tex] \sin(x) = + \sqrt{ \frac{32}{81} } \\ [/tex]

[tex] \sin(x) = \frac{ \sqrt{16 \times 2} }{ \sqrt{9 \times 9} } \\ [/tex]

[tex] \sin(x) = \frac{4 \sqrt{2} }{9} \\ [/tex]

_____________________________________________

[tex] \sin(2x) = 2 \times \sin(x) \times \cos(x) [/tex]

[tex] \sin(2x) = 2 \times \frac{4 \sqrt{2} }{9} \times ( - \frac{7}{9} ) \\ [/tex]

[tex] \sin(2x) = - \frac{56 \sqrt{2} }{81} \\ [/tex]

Answer:

markup= 19.93 revenue, 4.98 gross profit

discount= $8.72

Answer:

230

Step-by-step explanation:

V = Base x hight

2070 = Base x 9

Base = 2070/9

Base = 230

Area = base

Area = 230

Answer: hii

1 4/6 Is the Answer I Believe.

Step-by-step explanation:

Hopefully this helps you

- Matthew

The number of problems which are finished by Liam from his homework sheet when his homework contains 40 problems is 32.

Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.

Jenny has finished 20 of the 25 math problems on her homework sheet. Thus, the total percentage of problems he finished is,

[tex]n=\dfrac{20}{25}\times100\\n=80\%[/tex]

Liam has finished the same percent of problems from his homework sheet which is 80%. His homework contains 40 problems. Thus, the number of problems has Liam finished,

[tex]x=\dfrac{80}{100}\times40\\x=32[/tex]

Hence, the number of problems which is finished by Liam from his homework sheet when his homework contains 40 problems is 32.

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Answer:

please provide an image of the graph

Answer:

$7.25 or D

Step-by-step explanation:

First take the 18$ and the $10.75 and subtract 10.75 from 18 and get $7.25

A=32.2

C=20.11

see the step by step calculation attached..

awnser

The correct answer is C. f(x) = x - 7

Step-by-step explanation:

In order to find this, you simply need to know that vertical shifts can be added on to the end of parent equations as constants. Since this is a downward shift, we use a negative number.

The equation of the tangent line to the given curve (which is parallel to line (2x−y+9=0) is y−2x−3=0.

There are two important elements to finding an equation that defines a tangent line: its slope and its point of contact with a curve.

The equation of the given curve is;

[tex]\rm y=x^2-2x+7[/tex]

On differentiating with respect to x, we get:

dx/dy=2x−2

The equation of the line is;

2x−y+9=0

y=2x+9

The slope of the line =2

If a tangent is parallel to line 2x−y+9=0, then the slope of the tangent is equal to the slope of the line.

Therefore, we have:

2=2x−2

2x=4

x=2

Now, at x=2

y=22−2×2+7=7

Thus, the equation of the tangent passing through (2,7) is given by,

y−7=2(x−2)

y−2x−3=0

Hence, the equation of the tangent line to the given curve (which is parallel to line (2x−y+9=0) is y−2x−3=0.

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Answer:

a) 10√2 is correct answer

Answer:

umm soo yea first you figure out how to do the problem, second you do the problem then you get the answer

Step-by-step explanation:

ur welcome

Answer:

Step-by-step explanation:

Answer:

A. This is a vertical angle set. As you can see, they are cut by the transversal and have the exact same interior angle, so it is a vertical angle.

B. Since these too are vertical angles, all you have to do is just put each expression on the sides of an equation like so:

5y-29=3y+19

Once you do this, you just need to simplify the equation by putting like terms together, and then you will find the solution for y, which is 24.

C. We know that the solution for y is 24, so we need to plug it into the equation to find, the angle, so if we do 3*24-19, we get 53, so we need to subtract that from 180 degrees, which is the total angle of the straight line, then we can get 127 degrees, which is what angles <7 and <8 are.

Step-by-step explanation:

Answer: don’t have a calculator but if you do write this and you will get your answer 140 x 95

Step-by-step explanation:

Answer:

The account is decreasing at an annual rate rate of 8%.The account decreasing at annual rate of 10.00%

Account B is Recorded a greater percentage change in amount of money over the previous year.

Answer:

8 units, 15 units, 17 units

Step-by-step explanation:

A triangle can only be considered a right triangle if it satisfies the Pythagorean Theorem.

Case 1 : Side lengths 8, 9, 15

Case 2 : Side lengths 8, 15, 17

Therefore, she should use the side lengths 8 units, 15 units, 17 units, as it forms a right triangle.

Answer:Find the vol of the sphere:

radius of the sphere = 3 in

V = %284%2F3%29%2Api%2A3%5E3

V = 97.858

:

Find the vol between the sphere and cube:

216 - 97.858 = 118.142 cu/in

Step-by-step explanation:

Answer:

all real numbers, continuing forever in each direction, and also numbers that are between the integers

Answer:

10

Step-by-step explanation:

The perimeter and area of the original are 20 ft and 23.5 square ft and the enlarged figure are50 ft and 146.875 square ft.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The figure is the combination of a triangle and a square.

The area of the original (A₀) figure will be

[tex]\rm A_o = \dfrac{1}{2} \times 3 \times 5 + 4 \times 4\\\\A_o = 23.5 \ ft^2[/tex]

The perimeter of the original figure (P₀) will be

[tex]\rm P_o = 3 + 5 + 4 + 4 + 4\\\\P_o = 20 \ ft[/tex]

The scale factor is 2.5.

Then the dimension of the triangle will be

h = 2.5 × 3 = 7.5 ft

b = 2.5 × 5 = 12.5 ft

Then the dimension of the square will be

a = 2.5 × 4

a = 10 ft

The area of the new figure will be

[tex]\rm A = \dfrac{1}{2} \times 7.5\times 12.5 + 10*10\\\\ A = 146.875 \ ft^2[/tex]

The perimeter of the new figure will be

[tex]\rm P= 7.5 + 12.5 + 10+ 10+ 10\\\\P = 50 \ ft[/tex]

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Answer:

To find the perimeter of an enlarged figure, you can multiply the original figure’s perimeter by the scale factor. You could also multiply each dimension of the original figure by the scale factor to find the dimensions of the enlarged figure, and then add to find the perimeter.

Answer:

The strategy is to find out the total area and find the area of the 3 circles then subtract the sum of the circles' are from the total area

Total area = (length * width) = ( 3+6+9+12) * 18 = 540 sq. inch

3 Circles area = πr₁² + πr₂² + πr₃²

πr₁² + πr₂² + πr₃²

π(6²) + π(4.5)² + π(3)²

= 36π + 20.25π + 9π

= 65.25π

Shaded area = 540 - 64.25π = 335.011 sq. in