Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the equivalent expressions.

Answer:

[tex]380 \text{ m}^2[/tex]

Step-by-step explanation:

To find the surface area of the trapezoidal pyramid, we can use the formula:

[tex]SA = 2(b) + (p \cdot d)[/tex],

where [tex]b[/tex] is the area of the base, [tex]p[/tex] is the perimeter of the base, and [tex]d[/tex] is the prism's depth.

First, we should find the area of the base using the area of a trapezoid formula.

[tex]A_\text{trap} = \dfrac{b_1 + b_2}{2} \cdot h[/tex]

[tex]b = \dfrac{15 + 5}{2} \cdot 7[/tex]

[tex]b = 10 \cdot 7[/tex]

[tex]b = 70 \text{ m}^2[/tex]

Now, we can plug the given dimensions along with the base area into the surface area formula.

[tex]SA = 2(b) + (p \cdot d)[/tex]

[tex]SA = 2(70) + ([15 + 10 + 5 + 10] \cdot 6)[/tex]

[tex]SA = 140 + (40 \cdot 6)[/tex]

[tex]SA = 140 + 240[/tex]

[tex]\boxed{SA = 380 \text{ m}^2}[/tex]

Answer:

  1/9

Step-by-step explanation:

You want the probability of rolling a sum of 5 when you roll two dice.

There are 4 outcomes that have a sum of 5 when rolling two dice:

  (1, 4), (2, 3), (3, 2), (4, 1)

There are 36 total possible outcomes, so the probability of rolling a 5 is ...

  P(5) = 4/36 = 1/9

The probability of rolling a sum of 5 is 1/9.

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Answer:

6(x + 4) = 5

Step-by-step explanation:

We can break this sentence down into individual operations:

"six times" → this means 6 multiplied by some quantity

6 · ()

"the sum of a number and 4" → this is the quantity that we can put inside the parentheses (Note that "a number" is represented as a variable x, and a "sum" is the result of the addition of multiple numbers.)

6 · (x + 4)

"equals 5" → this is self-explanatory; the expression above is equal to 5

6(x + 4) = 5

⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯

Note that multiplication with a value inside parentheses is implied.

For example,

4(5) = 4 · 5 = 20

⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯

We can solve for x in this equation to solve for "a number".

6(x + 4) = 5

↓ applying the distributive property ... a(b + c) = (a · b) + (a · c)

6x + (6 · 4) = 5

↓ simplifying

6x + 24 = 5

↓ subtracting 24 from both sides

6x = -19

↓ dividing both sides by 6

x = -19/6

Answer:

Step-by-step explanation:

Answer:

You must find the maximum i.e. the highest score and the minimum i.e. the least score.

In the given question, the lowest score is 4.

                                    the highest score is 50.

And there ya go!

Answer: Leilani has the probability of rolling two 5s three times on her next 30 moves.

Step-by-step explanation: If on average Leilani rolls once in 10, then we can predict that she will at least roll 3 in 30.

Answer:To write the number 0.0000149 in scientific notation, we need to express it as a number between 1 and 10 multiplied by a power of 10.

First, we move the decimal point to the right until there is only one non-zero digit to the left of the decimal point, which gives us:

1.49 × 10^-5

Since we moved the decimal point 5 places to the right, the exponent of 10 is negative 5.

Therefore, the scientific notation of 0.0000149 is 1.49 × 10^-5.

Step-by-step explanation:

Answer:

1.49×10^-5

Step-by-step explanation:

0.0000149=1.49×10^-5

it's to the power of -5 because it's a decimal number not a whole number

x = 2, -3 is your answer

The answer is x = 2, -3

Answer: 60

Step-by-step explanation: all you have to do is add the sides and the two faces together, then add those results together. Boom. You have the answer.

Answer:

40 in.²

Step-by-step explanation:

First, you have to find the area of the triangle, which you then multiply by 4 (because there are 4 triangles):

A=1/2(bh)

A=1/2(3x4)

A=1/2(12)

A=6

6x4=24 in.²

Next, you have to find the area of the square:

A=bh

A=4x4

A=16

Now, add 24 and 16 together to get your answer of 40 in.².

Answer:

Step-by-step explanation:

A= 189.06cm2

Answer:

Step-by-step explanation:

189.06cm2

Answer:

23. y intercept= -7 slope = 1/2

24. y-intercept = 4 slope = -1/3

Step-by-step explanation:

y=mx+b

y= slope x + y-intercept

Answer: explanation

Step-by-step explanation:

I am unsure about number 1, but for number 4, you have to fund the unit rate.

Answer:

Answer for Number 1: 54 1/2

Answer for Number 4: $2.36

Step-by-step explanation:

Explanation for number 1:

    1.  length x width = area right? So area divided by length = width!

        159 3/8 divided by 18 3/4 = 8 1/2

    2. width + width + length + length = perimeter right? Now you know the

        width,  you can do...

         8 1/2 + 8 1/2 + 18 3/4 + 18 3/4 = 54 1/2

Explanation for number 4:

    1.  You know that 4 cup = 1 quart right?

        9.44 = 1 quart

    2. So you divide it:

        9.44 / 4 = $2.36

Answer:

58

Step-by-step explanation:

It is the middle point/dot

in the box with the line

Answer:

1/6x + 47

1 2/3x+35 -1 1/2x +12

5(1/3x)+(5)(7)-(3)(1/2x)+(3)(4)

Answer:

3/16

Step-by-step explanation:

There are 4 possible outcomes: 2, 3, 4, 5

There are 3 outcomes that are a number greater than 2: 3, 4, 5

There is 1 outcome that is a number less than 3: 2

p(greater than 2) = 3/4

p(less than 3) = 1/4

p(greater than 2 followed by less than 3) = 3/4 × 1/4 = 3/16

Answer: 81 miles

Step-by-step explanation:

The total distance traveled on the three-day trip is: 81 miles.

Denote the total distance of each day's journey by D1, D2, and D3, respectively. Then write equations based on the given identities:

a. (5/8)D1 + 15 = D1

(3/8)D1 = 15

D1 = 40 miles

So, the total distance traveled on Day 1 is 40 miles.

b. 18 + (2/5)D2 = D2

(3/5)D2 = 18

D2 = 30 miles

So, the total distance traveled on Day 2 is 30 miles.

c. (5/11)D3 + 6 = D3

(6/11)D3 = 6

D3 = 11 miles

So, the total distance traveled on Day 3 is 11 miles.

Therefore, the total distance traveled on the three-day trip is:

40 + 30 + 11 = 81 miles.

learn more about distance: https://brainly.com/question/26046491

#SPJ1

Step-by-step explanation:

Slope intercept form of a line is

y = mx + b      where    m = slope    b = intercept

1)   y = 2x + 4

3) y = -3/4 x  + 0   = - 3/4 x

I think you can see how to do the other two now......

Answer:

72 feet

Step-by-step explanation:

Because the circumference is 6 feet, with every complete rotation, the bike travels 6 feet. Therefore, the bike will travel 72 feet when the wheel makes 12 complete rotations.

Feel free to tell me if I did anything wrong! :)

Answer:

x = 10

The shaded angles are each 31 degrees.

Step-by-step explanation:

I don't know if you are being asked to solve for x or the shaded angle, so we'll solve for both.

Those 2 shaded angles are equal to each other. So set them equal to each other & solve for x.

91-6x = 4x-9

91+9 = 4x+6x

100 = 10x

10 = x

Now substitute x=10 to find the measure of the shaded angles (which are equal).

91-6x = 91-6(10) = 91-60=31

The shaded angles are both 31 degrees .

Time:      Distance:

2              6

6              18

8              24

15             45

the distance (output) is 3 times larger than the time (input) so you have to multiply and divide to find the missing numbers.

Answer:

2 6

6 18

8 24

15 45

Step-by-step explanation:

6 = 18

X = 6

cross multiply

6 × 6 ÷ 18

=2

2 = 6

X = 24

Cross multiply

2 × 24 ÷ 6

= 8

2 = 6

15 = x

Cross multiply

6 × 15 ÷ 2

=45

Answer:

Mean = 16

Step-by-step explanation:

MEAN can be find bg the sum of all score divided by the amount of the score.

Mean = total amount / number of amount

Total amount = 2 + 3 + 5 + 9 + 17+ 22 + 31 + 39

= 128

number of amount = 2, 3, 5, 9, 17, 22, 31, 39

= 8

Then we can calculate mean as

Mean = 128/8

Mean = 16

Answer:

45

70

36

52

20

130

Step-by-step explanation:

complementary means it adds up to 90 degrees.

subtract that angle from 90 to get the complementary angle

supplementary angles add up to 180 degrees

subtract that angle from 180 to get the supplementary angle

Answer:

1) 45

2) 60

3) 36

4) 52

5) 20

6) 130

Step-by-step explanation:

In the first 3 questions, it's asking us for a complementary angle to the given angle.  A complementary angle is when 2 angles add up to 90 degrees.  So, we are given 45 degrees already, so we can subtract that from 90 to find it's complementary angle, which is also 45.  Continue to subtract from 90 for the next 2 problems.

In questions 4-6, we are asked to find an angle that is supplementary.  A supplementary angle is when 2 angles add up to 180 degrees.  We are given an angle that measures 128 degrees, so subtract 180-128 to get 52 degrees.  Continue subtracting from 180 for the next 2 problems.

Hope this helps! :)

Least

72 ÷ 8 - 2 × (3 + 1) = 1

(72 ÷ 8) - 2 x 3 + 1 = 4

72 ÷ (8 - 2) × 3 + 1 = 37

72 ÷ (8-2) × (3 + 1) = 48

Greatest

To solve all of these, just follow the PEMDAS format (Parenthesis, Exponent, Multiply, Divide, Add, and Subtract)

Or just punch it in a calculator :)

Answer:

72 ÷ 8 - 2 × (3 + 1) = 1

(72 ÷ 8) - 2 x 3 + 1 = 4

72 ÷ (8 - 2) × 3 + 1 = 37

72 ÷ (8-2) × (3 + 1) = 48

Step-by-step explanation:

Answer:

30.68 cm²

Step-by-step explanation:

Area of the shaded region

= Area of rectangle - Area of semicircle

Given,

Height (h) = 4.5 cm

Base (b) = 9 cm

Diameter (d) = 5 cm

Formula

Area of the rectangle = bh

Area of the rectangle

= 9 x 4.5

= 40.5 cm²

Formula

Radius (r) = d/2

r = 5/2

r = 2.5 cm

Formula

Area of the semicircle = πr²/2

Note

The value of π is 3.14

Area of the semicirlce

= (3.14 x 2.5²)/2

= (3.14 x 2.5 x 2.5)/2

= 19.625/2

= 9.8125 cm²

Area of the shaded region

= Area of rectangle - Area of semicircle

= 40.5 - 9.8125

= 30.6875 cm²

~ 30.68 cm² approximately

Answer:

Step-by-step explanation: don't know