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3 years ago

Write the general form of equation (x-8)^2 +(y+2)^2 =1

1 answer:

5 0

<span>(x-h)^2 + (y-k)^2 = r^2
</span><span>where r is the radius of the circle, </span>
<span>and h,k are the coordinates of its center;

( x - 8 )^2 + ( y - ( - 2 ) )^2 = 1 ^2 ;
r = 1 ;
h = 8 ; k = - 2.</span>

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2. Identify the measure of angle x. (Write your answer in number form only, 1 point

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3 years ago

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A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13 What is the: Total Surface Area of the Prism

sdas [7]

Given:

A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13.

To find:

The total surface area of the prism.

Solution:

We have,

Height of prism = 7½ = 7.5

Sides of triangular base are 5, 12, 13. These sides of Pythagorean triplets because

$5^2+12^2=13^2$

$25+144=169$

$169=169$

So, the base of the prism is a right triangle.

Area of a triangle is

$Area=\dfrac{1}{2}\times base \times height$

$A_1=\dfrac{1}{2}\times 5\times 12$

$A_1=30$

The area of the base is equal to the area of the top, i.e., $A_2=30$ sq units.

Perimeter of the base is

$P=5+12+13$

$P=30$

The curved surface area of the prism is

$CSA=\text{Perimeter of the base}\times \text{Height of the prism}$

$CSA=30\times 7.5$

$CSA=225$

Now, the total area of the prism is

$A=A_1+A_2+CSA$

$A=30+30+225$

$A=285$

Therefore, the total surface area of the triangular prism is 285 square units.

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3 years ago

Tras una rebaja del 8%, un pantalón cuesta 17,28 euros. ¿Cuál era su precio inicial?

Sholpan [36]

Answer:

18.78

Step-by-step explanation:

x*(100%-8%)=17.28

x=18.78

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3 years ago

In ΔUVW, w = 3 inches, ∠W=23° and ∠U=73°. Find the length of u, to the nearest 10th of an inch.

kirza4 [7]

Answer:

<h2>7.4inches</h2>

Step-by-step explanation:

Check the attachment for the diagram. Sine rule will be used to get the unknown side of the triangle.

According to the rule;

$\frac{u}{sinU} = \frac{v}{sinV} = \frac{w}{sinW}\\\frac{u}{sinU} = \frac{w}{sinW}$

Given w = 3 in, ∠W=23° and ∠U=73°, on substituting into the equation above to get u we have;

$\frac{u}{sin73^{0} } = \frac{3}{sin23^{0} }\\usin23^{0} = 3sin73^{0}\\u = \frac{3sin73^{0} }{sin23^{0} }\\u = \frac{2.87}{0.39} \\u = 7.358\\u = 7.4in$

The length of u is 7.4inches to nearest 10th of an inch

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3 years ago

What is the slope? 18,4.5/20,5

jarptica [38.1K]

Answer:

m = 0.5 / 2 = 0.25

Step-by-step explanation:

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