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2 years ago

1. In the diagram below, a large flagpole stands outside of an office

Mathematics

1 answer:

Snowcat [4.5K]2 years ago

8 0

Answer:

Step-by-step explanation:

Let h bet the height of the building.

Mark is 60+310 = 370 m from building.

35/60 = h/370

h = 1295/6 = 215⅚ meters

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Kevin weighs himself and discovers he weighs 78,900 grams. How many kilograms does Kevin weigh?

faltersainse [42]

Answer:

He would weigh 78.9 kilograms. hope this helps.

3 0

3 years ago

The endpoints of a diameter of a circle are (6,2) and (−2,5) . What is the standard form of the equation of this circle?

Paul [167]

Answer:

The standard form of the given circle is

$(x-2)^2+(y-\frac{7}{2})^2=73$

Step-by-step explanation:

Given that the end points of a diameter of a circle are (6,2) and (-2,5);

Now to find the standard form of the equation of this circle:

The center is (h,k) of the circle is the midpoint of the given diameter

midpoint formula is $M=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

Let $(x_{1},y_{1})$ and $(x_{2},y_{2})$ be the given points (6,2) and (-2,5) respectively.

$M=(\frac{6-2}{2},\frac{2+5}{2})$

$M=(\frac{4}{2},\frac{7}{2})$

$M=(2,\frac{7}{2})$

Therefore the center (h,k) is $(2,\frac{7}{2})$

now to find the radius:

The diameter is the distance between the given points (6,2) and (-2,5)

$d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

$=\sqrt{(-2-6)^2+(5-2)^2}$

$=\sqrt{(-8)^2+(3)^2}$

$=\sqrt{64+9}$

$=\sqrt{73}$

Therefore the radius is $\sqrt{73}$

i.e., $r=\sqrt{73}$

Therefore the standard form of the circle is

$(x-h)^2+(y-k)^2=r^2$

Now substituting the center and radiuswe get

$(x-2)^2+(y-\frac{7}{2})^2=(\sqrt{73})^2$

$(x-2)^2+(y-\frac{7}{2})^2=73$

Therefore the standard form of the given circle is

$(x-2)^2+(y-\frac{7}{2})^2=73$

5 0

2 years ago

HELPPP A GIRL OUTTT 10 POINTS!!!!!!!!

Katena32 [7]

(x+5)² + (y - 6)² = 16

(x - h)² + (y - k)²= r² is circel centered at (h,k) with radius r.

8 0

3 years ago

John went to a deli on his lunch hour. He bought 1.3 lb. of roast beef and 0.6 lb. of cheese. Both were on sale for $3.99 per po

Goryan [66]

Answer:

5.19 for the roast beef & 2.39 for the cheese. 7.58$

10.00$-7.58$=3.42$

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2 years ago

Patel made a rectangular garden in his family's backyard. 24 ft What is the perimeter of the garden? A 336 feet B 76 feet C 48 f

ololo11 [35]

Answer:

336+76+48+38= 498

Step-by-step explanation:

add all those sides up because it is just the perimeter

7 0

2 years ago

Read 2 more answers