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telo118 [61]
3 years ago
7

He walks 7.5miles in 3 hours. What is his speed?

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
4 0
73/30 is how fast he walked in 3 hours
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A l-meter steel rod is bent into a rectangle so that its length exceeds quadruple its width
Dmitry_Shevchenko [17]

Answer:

The dimensions of the newly formed rectangle is length is 41 cm and width is 9 cm.

Step-by-step explanation:

Given,

A 1 meter steel rod is bent into a rectangle.

That means the perimeter of the rectangle is 1 meter.

So, Perimeter = 1\ m=100\ cm

Let the width of the rectangle be 'x'.

Now According to question, length exceeds quadruple its width by 5 cm.

Hence framing the above sentence in equation form, we get;

Length=4x+5

Now we use the formula of  perimeter of rectangle,

Perimeter=2(Length+width)

On substituting the values, we get;

2(4x+5+x)=100\\\\(5x+5)=\frac{100}{2}\\\\5x+5=50\\\\5x=50-5\\\\5x=45\\\\x=\frac{45}{5}=9

Now, we substitute the value of x to get the value of length;

Length=4x+5=4\times9+5=36+5=41\ cm

Thus, Width=9 cm    Length=41 cm

Hence the dimensions of the newly formed rectangle is length is 41 cm and width is 9 cm.

6 0
3 years ago
Express the ratio AC/DF in simplest form
murzikaleks [220]

Answer:

\frac{n}{28 \: cm}

Step-by-step explanation:

AC = n, DF = 28 cm

\huge \red{ \frac{AC}{DF} }=  \purple{ \frac{n}{28 \: cm}}  \\

5 0
3 years ago
More trig questions! Given that sin(C) = cos(B)Find the measure of ∠C if m∠C=10x+4 and the m∠B = 4x+2
dangina [55]

Answer:

angle C = 64 degrees

Step-by-step explanation:

sin C = cos B

angle C = 10x+4

angle B = 4x+2

angle C + angle B = 90 degrees

10x+4 + 4x+2 = 90

simplify:

14x+6 = 90

14x = 84

x = 6

angle C = 64 degrees

4 0
3 years ago
Simplify 36-4(5x-7)+11x
Tamiku [17]

36-4(5x-7)+11x

36 - 20x + 28 +11x

64 - 9x

5 0
3 years ago
Read 2 more answers
What is the largest value of $k$ such that the equation $6x - x^2 = k$ has at least one real solution?
podryga [215]

Step-by-step explanation:

6x - x² = k

=> x² - 6x + k = 0,

For there to be at least 1 real solution,

The discriminant b² - 4ac must be at least 0.

We have (-6)² - 4(1)(k) >= 0.

Therefore 36 - 4k >= 0, k <= 9.

Hence the largest value of k is 9.

5 0
3 years ago
Read 2 more answers
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