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Ierofanga [76]
3 years ago
12

runs 5 laps in 30 minutes, denise runs 4 laps in 20 minutes, paola runs 6 laps in 40 minutes. if they run at a constant rate, wh

o is the fastest runner?
Mathematics
1 answer:
asambeis [7]3 years ago
3 0
Denise is the fastest runner. 40 divided by 6 is 6.666 repeating 30 divided by 5 is 6 and 20 divided by 4 is 5 therefore denise is fastest
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The area of the base of a rectangular prism is 36 cm2. The height of the prism is 3 5/6 cm. What is the volume of the prism?
Lilit [14]

Answer:  The correct option is (C) 36 cm².

Step-by-step explanation:  We are given to find the volume of a rectangular prism with base area 36 cm² and height 3\frac{5}{6}~\textup{cm}.

We know that the volume of a rectangular prism with base area b sq. units and height h units is given by

V=bh.

Here,

base area, b = 36 cm²

and

height is

h=3\dfrac{5}{6}=\dfrac{23}{6}~\textup{cm}.

Therefore, the VOLUME of the given prism will be

V=bh=36\times \dfrac{23}{6}=6\times 23=138~\textup{cm}^3.

Thus, the volume of the given rectangular prism is 36 cm².

Option (D) is CORRECT.

4 0
3 years ago
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Which statement must be true?<br><br> a<br> b<br> c<br> d
lozanna [386]
ANSWER

\boxed {m \ne0}



EXPLANATION


The given function is

f(x) = mx + b


We need to find the inverse of this function,



Let

y= mx + b


We interchange x an y to obtain,


x = my + b


We solve for y now to obtain,


x - b = my


We divide through by m to get,

\frac{x - b}{m}  = y


Hence the inverse function is ,


{f}^{ - 1} (x) =  \frac{x - b}{m}


For this inverse to exist, the denominator must not be equal to zero,

Thus

m \ne0


The correct answer is A.
8 0
3 years ago
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Suppose you have two triangles. Triangle A is similar to triangle B, and the measures of the sides of triangle A are less then t
neonofarm [45]

Answer:

  Triangle B

Step-by-step explanation:

The scale factor is less than 1, so applying that to a geometric figure will make is smaller. Since the smaller triangle is A, it is the result of applying the scale factor to original triangle B.

7 0
3 years ago
PLZZZZZ HELPPP ILL GIVE BRAINLIEST
tangare [24]

Answer:

340

Step-by-step explanation:

4 0
3 years ago
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What is the product (6.45x10^6). 720,000 enter your answer in the box in scientific notation
dangina [55]
<span><span><span>6.45<span>(<span>106</span>)</span></span><span>(720)</span></span>;0</span><span>4644000000;<span>0

Your answer should be 4,644,000,000</span></span>
4 0
3 years ago
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