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konstantin123 [22]
2 years ago
10

2. A student on the track team runs 45 minutes each day as a part of her training. She

Mathematics
1 answer:
fomenos2 years ago
8 0

Answer:

D

Step-by-step explanation:

The basic equation to solve this would be D = RT, which is

D is Distance

R is Rate (speed)

T is time

To find total distance D, we can find individual distances for two legs of the whole.

First Leg:

R = 8

T = a

D = 8a

Second Leg:

R = 7.5

T = b

D = 7.5b

Total distance D is:

D = 8a + 7.5b

Moreover, we know student runs 45 minutes in total hence a + b = 45 or we can say a = 45 - b, so we can replace this in the equation found:

D = 8a + 7.5b

D = 8(45 - b) + 7.5b

Answer choice D is right.

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A fair 6-sided die is rolled 4 times and the resulting sequence of 4 numbers is recorded. How many different sequences consist e
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Answer:

81

Step-by-step explanation:

Rolling 6-sided fair die you can throw out three even numbers: 2, 4, 6.

If a fair 6-sided die is rolled 4 times, then each of 4 times each of three even numbers can be thrown out. Then the number of different sequences that consist entirely of even numbers is

3\cdot 3\cdot 3\cdot 3=3^4=81.

7 0
2 years ago
The vertices of ABC are A(-2,2), B(6,2), and C(0,8). The perimeter of ABC
german

Answer:

The perimeter of the triangle ABC is 22.8 units

Step-by-step explanation:

* Lets study the information in the problem

- There is Δ ABC with vertices:

  A (-2 , 2) , B (6 , 2) , C (0 , 8)

- The perimeter of the triangle is the sum of the length of its

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* We must to find the lengths of AB , BC and CD

- The rule to find the distance between 2 points (x1 , y1) and (x2 , y2) is

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∵ A = (-2 , 2) and B = (6 , 2)

∴ AB = √[(6 - -2)² + (2 - 2)²] = √8² = 8 units

- Length of BC

∵ B = (6 , 2) and C = (0 , 8)

∴ BC = √[(0 - 6)² + (8 - 2)²] = √[6² + 6²] = √72 = 6√2 units

- Length of AC

∵ A = (-2 , 2) and C = (0 , 8)

∴ AC = √[(0 - -2)² + (8 - 2)²] = √[2² + 6²] = √40 = 2√10 units

* Now lets find the perimeter of the triangle

∵ The perimeter = AB + BD + AC

∴ The perimeter = 8 + 6√2 + 2√10 = 22.8 units

* The perimeter of the triangle ABC is 22.8 units

6 0
2 years ago
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NemiM [27]
Check the picture below.

is not very specific above, but sounds like it's asking for an equation for the trapezoid only, mind you, there are square tiles too.

but let's do the trapezoid area then, 

\bf a^{\frac{{ n}}{{ m}}} \implies  \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\
-------------------------------\\\\

\bf A=\cfrac{h(a+b)}{2}\quad 
\begin{cases}
A=At\\
a=x\\
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8 0
2 years ago
The table shows data from Vicente's Form 1040. Gross income $75,000 Standard deduction $12,000 Taxable income $63,000 Total inco
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2 years ago
Dimensional Analysis Method (also called conversion factor or unit analysis) (Appendix D: Dimensional Analysis, Page 397) o The
garik1379 [7]

Answer:

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Step-by-step explanation:

Dimensional analysis is a method of problem solving that takes into consideration the identity property of multiplication whereby the product of a number and 1 will always give the same number, that is 1 × n = n whereby the value "n" remains the same after the multiplication

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