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3 years ago

Four towns are located along a

Mathematics

1 answer:

Tamiku [17]3 years ago

5 0

Answer:

30 miles

Step-by-step explanation:

thank you have a good day and take care be safe :)

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The area of a triangle is 225 in^2. If the width is 18 inches, find the height of the triangle

sergiy2304 [10]

$\textit{area of a triangle}=\cfrac{1}{2}\cdot b\cdot h\qquad 
\begin{cases}
b=\textit{base of triangle,}\\
\qquad \textit{may also be its width}\\
h=\textit{height of triangle}
\end{cases}
\\ \quad \\
b=width=18\qquad area=225
\\ \quad \\
225=\cfrac{1}{2}\cdot 18\cdot h\impliedby \textit{solve for "h"}$

6 0

3 years ago

(3 1/2 - 9 3/4) divided by (-2.5)

SVEN [57.7K]

Answer:

Step-by-step explanation:

Let's take the numerator first

3 1/2 - 9 3/4

Convert to improper fraction

7/2 - 39/4

Find the LCM

$\frac{14 - 39}{4}$

= -25/4

Now let's take the denominator

-2.5

Convert to fraction

-5/2

Combine the two parts of the fraction

-25/4 / (-5/2)

This becomes;

-25/2 * -2/5

= +5

4 0

3 years ago

Write is the equation of the line with a slope of m=-4/3 that passes through the point (12, - 4)

Anika [276]

Answer:

4x +3y=36

Step-by-step explanation:

Equation of line is (y-y1) = m(x-x1)

(y+4) = (-4/3)(x-12)

3(y+4) = (-4)(x-12)

3y +12 = -4x + 48

4x+3y = 36

4 0

3 years ago

A toy maker claims his best product has an average lifespan of exactly 14 years. A skeptical quality control specialist asks for

slamgirl [31]

Answer:

interval = [17.3948 , 20.6052]

Step-by-step explanation:

given,

random sample (n) = 45

average product lifespan = 19 years

standard deviation = 4 years

confidence interval of 99 % = ?

we know,

t* = qt(1.99/2 + 44 ) = qt(0.995,44)

t* = 2.692

so,

interval

$x = 19 \pm t* \times (\dfrac{s}{\sqrt{n}})$

$x = 19 \pm 2.692 \times (\dfrac{4}{\sqrt{45}})$

$x = 19 \pm 2.692 \times 0.5963$

$x = 19 \pm 1.6052$

interval = [19 - 1.6052 , 19 + 1.6052]

interval = [17.3948 , 20.6052]

4 0

3 years ago

Write each phrase as a variable expression <br> 25 less than a number

Andrew [12]

Answer:

25 < number

Step-by-step explanation:

hope it will help you

4 0

3 years ago