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Juliette [100K]
2 years ago
7

1 Enter the correct answer in the box. Simplify the expression (62,4.

Mathematics
1 answer:
adelina 88 [10]2 years ago
4 0

Answer:

248

Step-by-step explanation:

(62)4

= 62 x 4

= 248

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A collector has 120 movie posters and 100 band posters. She wants to sell 24 movie posters but still have her poster collection
Serga [27]

Answer:

She must sell 20 band posters

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Part A
masya89 [10]

Answer:

Part A) The area of triangle i is 3\ cm^{2}

Part B) The total area of triangles i and ii is 6\ cm^{2}

Part C) The area of rectangle i is 20\ cm^{2}

Part D) The area of rectangle ii is 32\ cm^{2}

Part E) The total area of rectangles i and iii is 40\ cm^{2}

Part F) The total area of all the rectangles is 72\ cm^{2}

Part G) To find the surface area of the prism, we need to know only the area of triangle i and the area of rectangle i and the area of rectangle ii, because the area of triangle ii is equal to the area of triangle i and the area of rectangle iii is equal to the area of rectangle i

Part H) The surface area of the prism is 78\ cm^{2}

Part I) The statement is false

Part J) The statement is true

Step-by-step explanation:

Part A) What is the area of triangle i?

we know that

The area of a triangle is equal to

A=\frac{1}{2} (b)(h)

we have

b=4\ cm

h=1.5\ cm

substitute

A=\frac{1}{2} (4)(1.5)

Ai=3\ cm^{2}

Part B) Triangles i and ii are congruent (of the same size and shape). What is the total area of triangles i and ii?

we know that

If Triangles i and ii are congruent

then

Their areas are equal

so

Aii=Ai

The area of triangle ii is equal to

Aii=3\ cm^{2}

The total area of triangles i and ii is equal to

A=Ai+Aii

substitute the values

A=3+3=6\ cm^{2}

Part C) What is the area of rectangle i?

we know that

The area of a rectangle is equal to

A=(b)(h)

we have

b=2.5\ cm

h=8\ cm

substitute

Ai=(2.5)(8)

Ai=20\ cm^{2}

Part D) What is the area of rectangle ii?

we know that

The area of a rectangle is equal to

A=(b)(h)

we have

b=4\ cm

h=8\ cm

substitute

Aii=(4)(8)

Aii=32\ cm^{2}

Part E) Rectangles i and iii have the same size and shape. What is the total area of rectangles i and iii?

we know that

Rectangles i and iii are congruent (have the same size and shape)

If rectangles i and iii are congruent

then

Their areas are equal

so

Aiii=Ai

The area of rectangle iii is equal to

Aiii=20\ cm^{2}

The total area of rectangles i and iii is equal to

A=Ai+Aiii

substitute the values

A=20+20=40\ cm^{2}

Part F) What is the total area of all the rectangles?

we know that

The total area of all the rectangles is

At=Ai+Aii+Aiii

substitute the values

At=20+32+20=72\ cm^{2}

Part G) What areas do you need to know to find the surface area of the prism?

To find the surface area of the prism, we need to know only the area of triangle i and the area of rectangle i and the area of rectangle ii, because the area of triangle ii is equal to the area of triangle i and the area of rectangle iii is equal to the area of rectangle i

Part H) What is the surface area of the prism? Show your calculation

we know that

The surface area of the prism is equal to the area of all the faces of the prism

so

The surface area of the prism is two times the area of triangle i plus two times the area of rectangle i plus the area of rectangle ii

SA=2(3)+2(20)+32=78\ cm^{2}

Part I) Read this statement: “If you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” Is this statement true or false? Why?

The statement is false

Because, the three rectangles are not congruent

The total area of the rectangles is 72\ cm^{2} and if you multiply the area of one rectangle by 3 you will get 20*3=60\ cm^{2}

72\ cm^{2}\neq 60\ cm^{2}

Part J) Read this statement: “If you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” Is this statement true or false? Why?

The statement is true

Because, the triangles are congruent

8 0
3 years ago
The substraction of a matrix B may be considered as the addition of the matrix (-1)B. Dose the commutative law of addition permi
GuDViN [60]

Answer:  The corrected statement is A - B = -B + A.

Step-by-step explanation:  Given that the subtraction of a matrix B may be considered as the addition of the matrix (-1)B.

We are given to check whether the commutative law of addition permit us to state that A - B = B - A.

If not, We are to correct the statement.

If the subtraction A - B is considered a the addition A + (-B), then the commutative law should be stated as follows :

A + (-B) = (-B) + A.

That is, A - B = -B + A.

Thus, the corrected statement is A - B = -B + A, not B - A.

6 0
3 years ago
A worker at a snack stand opened a new box of cups. The first day he used 30 cups , the second day the worker used 15 percent of
Sholpan [36]

Answer:

Step-by-step explanation:

the first day he used 30 cups

the second day he used 15% of the remaining cups...a total of 90 cups were used on second day.

so 15%of the remaining cups = 90.....so if u let x be the total cups, then the remaining cups would be x - 30

15% of (x - 30) = 90.....turn ur percent to a decimal..." of " means multiply

0.15(x - 30) = 90

0.15x - 4.5 = 90

0.15x = 90 + 4.5

0.15x = 94.5

x = 94.5 / 0.15

x = 630 total cups <==

lets check..

start with 630 cups....used 30 the first day....leaving u with 600 cups....15% of the remaining cups = 90.....so 15% of 600 = 90....lets check it

15%of 600 = 0.15(600) = 90...yep, thats correct....there were 630 cups in the new un-opened box

5 0
3 years ago
Which angle corresponds to &lt; 8?​
Yuri [45]

Answer:

b

Step-by-step explanation:

7 0
3 years ago
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