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3 years ago

The circumference of a circle is 251.2 millimeters. What is the circle's diameter? Use 3.14 for it.

Mathematics

1 answer:

Bas_tet [7]3 years ago

3 0

Answer:

Step-by-step explanation:

divide the circumference (251.2) by pi (3.14) and get 80

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Plz help me with this. It is a test

Tatiana [17]

Answer:

5 divided by 20= 1/4

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Find the slope of the line passing through the pair of given points.<br> (5, 7) and (2,7)

gulaghasi [49]

Answer:

m = 0

Step-by-step explanation:

$m = \frac{7 - 7}{5 -2} \\m = \frac{0}{3}\\m = 0$

8 0

3 years ago

The length of a photograph is 1 cm less than twice the width. The area is 91cm^2. find the width and length.

maksim [4K]

Answer:

Width=6.5 cm

Length=12 cm

Step-by-step explanation:

Step 1: Express the lengths and widths

Width=w

Length=l, but 1 cm less than twice the width=(2×w)-1=2 w-1

Step 2: Solve for the length and width

A=L×W

where;

A=area of the photograph

L=length of the photograph

W=width of the photograph

In our case;

A=91 cm²

L=2 w-1

W=w

91=(2 w-1)w

2 w²-w=91

2 w²-w-91=0, is a quadratic equation

solve for w

w={-1±√(-1²-4×2×-91)}/(2×2)

w=(-1±27)/4

w=(27-1)/4=6.5, or (-1-27)/4=-8

Take w=6.5 cm

L=(2×6.5)-1=13-1=12 cm

Width=6.5 cm

Length=12 cm

6 0

3 years ago

Find the exact value of the given expression.<br> sin(2cos^-1(5/13))

xeze [42]

Answer:

+120/169 or -120/169

Step-by-step explanation:

let $cos^{-1}[\frac{5}{13} ] = \alpha$

where, alpha is some angle that satisfies the assumed condition.

so, $cos\alpha= 5/13$

[ taking cos to the other side or applying cos on both sides]

now, substitute this in the given expression

$sin(2cos^-1(5/13)) = sin(2\alpha )$

as sin $\beta$ = $+ or -\sqrt{1-(cos\beta) ^{2}$

[by general trigonometry formula: $cos^{2}[\beta] +sin^{2}[\beta]=1$ ]

so if $cos\alpha= 5/13$ , we can get sin $\alpha$ from the above formula as + or - 12/13

(because, after taking square root on both sides we keep + or -]

as, sin $2\beta = 2*sin[\beta ]*cos[\beta ]$

[by general trigonometry formula]

here, now $sin[2\alpha ]=2*(+or- 12/13)*5/13\\$

so, the final value can be 120/169 or -120/169.

4 0

3 years ago

What is the volume of the right rectangular prism? Enter your answer in the box.

Nutka1998 [239]

Answer:

1000 cm²

Step-by-step explanation:

Given:

Length = 10 cm
Width = 12.5 cm
Height = 8 cm

<u>Formula:</u>

$\text{Volume = Length} \times \text{Width} \times \text{Height}$

Substitute the length, width, and the height of the prism to determine the volume of the prism.

$\implies \text{Volume = 10} \times 12.5 \times 8$

Simplify the right hand side of the equation, as needed;

$\implies \text{Volume = 10} \times 12.5 \times 8$

$\implies \text{Volume =}\ 125 \times 8$

$\implies \boxed{\text{Volume =}\ 1000 \ \text{cm}^{2} }$

Therefore, the volume of the prism is 1000 cm².

7 0

2 years ago

The circumference of a circle is 251.2 millimeters. What is the circle's diameter? Use 3.14 for it.​

The circumference of a circle is 251.2 millimeters. What is the circle's diameter? Use 3.14 for it.