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Masja [62]
4 years ago
5

The diameter of Z is 5 in. What is its area in terms of pi?

Mathematics
2 answers:
irina [24]4 years ago
6 0
We are given the diameter of the circle, I assume. In this case, the formula of the area of the circle is expressed as A = pi d^2/4. where pi is a constant. The only option taht makes sense here is C. 6.25 in2. This should have the constant pi on it. 
vaieri [72.5K]4 years ago
4 0

we know that

the area of the circle is equal to

A=\pi r^{2}

where

r is the radius of the circle

In this problem we have

Diameter=5\ in\\r=Diameter/2\\r=5/2\\r=2.5\ in

substitute the value of r in the area's formula

A=\pi*2.5^{2}

A=6.25\pi\ in^{2}

therefore

<u>the answer is</u>

6.25\pi\ in^{2}

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The width of a rectangle is 1.9 feet. The perimeter is 7.4 feet. What is the length?
dimaraw [331]

Answer:2.8 feet

Step-by-step explanation:

length(l)=?

breadth(b)= 1.9 feet

perimeter(p)=7.4 feet

we know,

p=2(l+b)

7.4=2(l+1.9)

7.4=2l+3.8

2l=7.4-3.8 (changing side and bringing 3.8 to 7.4 it gets -3.8)

l=3.6/2

l=2.8 feet

Hence,length is 2.8 feet

7 0
3 years ago
Which statement is true about the graphs of the two lines y = -5/4x + 2 and y =-5/4 x-1/2 ?
oksian1 [2.3K]

Answer:

They are both parallel lines

Step-by-step explanation:

they both have the slope of -5/4

8 0
4 years ago
I need some help with this rational equation. It's supposed to = -1, but for some strange reason I keep getting x^2 +2x = -1.
Rasek [7]

This one is so easy that your brain refuses to accept it.
It's looking for a harder answer, but can't find it !

You're totally correct, as far you went.     x² + 2x does = -1

Now add ' 1 ' to each side:     x² + 2x + 1 = 0

Can you factor that quadratic ?
Can you mash it through the quadratic formula ?

Actually, it's the simplest possible perfect square.

                                       x² + 2x + 1  =  (x + 1)²

So the solutions of     x² + 2x + 1 = 0  are both   x = -1 .

Don't say anything.
I know it's embarrassing.

7 0
3 years ago
The company is building a scale model of the theater's main show tank for an investor's presentation. Each dimension will be mad
Ede4ka [16]

Answer:

This means the mock-up tank has a volume 216 times smaller than the initial tank.

Step-by-step explanation:

The ratio between volume is given by

\frac{V_2}{V_1}=\frac{(1/6)L^{3} }{L^{3}}  =\frac{1}{216}

This means the mock-up tank has a volume 216 times smaller than the initial tank.

5 0
3 years ago
Read 2 more answers
Write the equation in slope-intercept form then change it to standard form with integer coefficients.
SCORPION-xisa [38]

Answer:

1. Slope-intercept form:   y = 2x - 4

Standard form:   2x - y = 4

2. Slope-intercept form:  y = \dfrac12x - 1

Standard form:             x - 2y = 2

3. Slope-intercept form:   y = \dfrac45x + \dfrac{21}{5}

Standard form:            4x -5y = - 21

Step-by-step explanation:

Slope intercept form:   y = mx + b

where:

  • y = y-coordinate
  • m = slope
  • x = x-coordinate
  • b = y-intercept

Standard form:  Ax + By = C

\textsf{1.  as} \ m=2: \ \ y = 2x + b

   \textsf{at} \  (6, 8): \ \ 8 = 2(6) + b

   \implies b = -4

Slope-intercept form:   y = 2x - 4

Standard form:   2x - y = 4

\textsf{2.  as} \  \ m = \dfrac12: \ \ y = \dfrac12x + b

    \textsf{at} \  (4, 1): \ \ 1 = \dfrac12(4) + b

    \implies b = -1

Slope-intercept form:  y = \dfrac12x - 1

Standard form:             x - 2y = 2

\textsf{3.  as} \  \ m = \dfrac45: \ \ y = \dfrac45x + b

   \textsf{at} \  (1,5): \ \ 5 = \dfrac45(1) + b

   \implies b = \dfrac{21}{5}

Slope-intercept form:   y = \dfrac45x + \dfrac{21}{5}

Standard form:            4x -5y = - 21

7 0
2 years ago
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