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3 years ago

7

0.019 in expanded form

1 answer:

ratelena [41]3 years ago

5 0

Answer: zero and zero nineteenth thousandths

Step-by-step explanation:

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What is 0.12¯¯¯¯ expressed as a fraction in simplest form?<br><br> Enter your answer in the box.

Leona [35]

Answer:

100÷12=50÷6=25÷3

Step-by-step explanation:

the answer is 25÷3

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4 years ago

A central angle of a circle measures π/3 radians intercepts an arc that is 12πcm. What is the radius of the circle?

nydimaria [60]

Wouldnt it be 4 im pretty sure i did the math right i hope this works can you answer mine?

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3 years ago

Find the greatest common factor.<br> 2r, 4r

ipn [44]

Answer:

GCF: 2r

Step-by-step explanation:

The Greatest Common Factor(GCF) is the biggest factor you can divide both numbers by. For these numbers we cannot divide by a bigger number than 2r, and that happens to be the greatest common factor because 4r can be divided by 2r.

Hopes this helps!

5 0

3 years ago

A quadrilateral has vertices at A(–5, 5), B(1, 8), C(4, 2), D(–2, –2). Use slope to determine if the quadrilateral is a rectangl

lianna [129]

With the properties of rectangle in mind we must perform two verification. Verify to see if opposite sides are parallel and adjacent sides are perpendicular.

We need to determine the slope of each side, using the formula,

$m=\frac{y_2-y_1}{x_2-x_1 }$

<u>Slope of AB</u>

$m_{AB}=\frac{8-5}{1--5}$

$\Rightarrow m_{AB}=\frac{8-5}{1+5}$

$\Rightarrow m_{AB}=\frac{3}{6}$

$\Rightarrow m_{AB}=\frac{1}{2}$

<u>Slope of BC</u>

$m_{BC}=\frac{2-8}{4-1}$

$\Rightarrow m_{BC}=\frac{-6}{3}$

$\Rightarrow m_{BC}=-2$

<u>Slope of CD</u>

$m_{CD}=\frac{-2-2}{-2-4}$

$\Rightarrow m_{CD}=\frac{-2-2}{-2-4}$

$\Rightarrow m_{CD}=\frac{-4}{-6}$

$\Rightarrow m_{CD}=\frac{2}{3}$

<u>Slope of AD</u>

$m_{AD}=\frac{-2-5}{-2--5}$

$\Rightarrow m_{AD}=\frac{-2-5}{-2+5}$

$\Rightarrow m_{AD}=\frac{-7}{3}$

<u>Verify Parallel sides</u>

If the quadrilateral is a rectangle, then opposite sides should have the same slope. But

$m_{AD} = \frac{-7}{3} \neq m_{BC}=-2$

$m_{AB}=\frac{1}{2} \neq m_{CD}=\frac{2}{3}$

<u>Verify Perpendicularity</u>

And also the product of slopes of all sides with a common vertex should be -1. But

$m_{AB} \times m_{BC}=\frac{1}{2} \times -2=-1$

$m_{AB} \times m_{AD}=\frac{1}{2} \times -\frac{7}{3} \neq -1$

$\Rightarrow m_{CD} \times m_{AD}=\frac{2}{3} \times -\frac{7}{3} \neq -1$

$\Rightarrow m_{CD} \times m_{BC}=\frac{2}{3} \times -2 \neq -1$

Since the quadrilateral fails to satisfy all these conditions, the quadrilateral is not a rectangle

6 0

3 years ago

1 The San Diego Safari Park charges $18 for parking, plus an admission fee of $56. This can be represented by the equation c = 5

enyata [817]

Answer: No

Step-by-step explanation:

Given: The San Diego Safari Park charges $18 for parking, and an admission fee of $56.

This can be represented by the equation c = 56p + 18, where c is the total cost and p is the number of people.

Equation of direct proportion: $k=\dfrac{y}x$

But here we have a y-intercept as 18.

So, we cannot say there is a proportional relation ship between c and p.

4 0

3 years ago