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olga nikolaevna [1]

2 years ago

14

The local bank has the same first coordinate as the fire department which is 6,7 but its second coordinate is half of the fire d

epartments second coordinate. What ordered pair describes the location of the bank? Locate and lable the bank on the map using point B

1 answer:

jasenka [17]2 years ago

6 0

The ordered pair of the bank is (6,3.5)

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A water storage tank has the shape of a cylinder with diameter 14 ft. It is mounted so that the circular cross-sections are vert

andrezito [222]

Answer:

percentage of the total capacity is 75.6%

Step-by-step explanation:

Hello! To solve this problem we follow the following steps

1. draw the complete scheme of the problem (see attached image)

2. To solve this problem we must find the area of the circular sector using the following equation.(c in the second attached image)

$A=\frac{R^2}{2} (\alpha -sin\alpha )$

$\alpha =2arccos(\frac{d}{R})$

3. observing the attached images we replace the values in the equations and find the area of the circular sector, remember that you must transform the angle to radians

$\alpha =2arccos(\frac{5}{7})=88.83$

$A=\frac{R^2}{2} (\alpha -sin\alpha )\\A=\frac{7^2}{2} (88.83-sen88.83)*\frac{\pi rad}{180} =37.57ft^2$

4.we calculate the area of the total circle (At), then subtract the area of the circular sector (Ac) to find the area occupied by water (Aw)

$At=\frac{\pi }{4} (14ft)^2=153.93ft^2$

Aw=At-Ac=153.93-37.57=116.36ft^2

5.Finally, we calculate the percentage that represents the water in the tank by dividing the area of the water over the total area of the tank

$\frac{116.36}{153.93} *100=75.6$

percentage of the total capacity is 75.6%

3 0

2 years ago

Write the explicit rule for the arithmetic sequence<br> -10, -3, 4, 11,...

Bogdan [553]

a

0

=

4

a

i

=

a

i

−

1

+

7

XXXX

possibly with the restriction 1<=i<=4 if this is not intended to be a continuous sequence

Explanation:

This is a simple arithmetic sequence with a difference of

7

between ascending sequence terms.

6 0

2 years ago

10- [6-2•2 + (8-3)]•2

Aloiza [94]

Answer:

10-[6-4+(5)]×2

10-[2+5]×2

10-(7)×2

10-14= -4

5 0

3 years ago

. The wheel is divided into eight same-sized sections, and three of those sections represent winning a gift certificate. Assumin

aivan3 [116]

<h3>Answer: 198</h3>

The probability of winning is 3/8 since there are 3 winning spaces out of 8 total.

We expect to have (3/8)*528 = 198 winners

Note how if we had 198 winners out of 528 total players, then the empirical probability of winning is 198/528 = 3/8

3 0

3 years ago

Two polygons are similar. The perimeter of the smaller polygon is 66 feet and the ratio of the corresponding side lengths is 3 4

Alisiya [41]

Answer:

Perimeter of the other polygon is 88 feet.

Step-by-step explanation:

We are given that, 'Two polygons are similar'.

Also, the perimeter of the smaller polygon is 66 feet and the ratio of the corresponding side lengths is $\frac{3}{4}$ .

As, we know,

'If two polygons are similar, the ratio of their perimeters is equal to the ratio of their side lengths'.

Thus, we have,

Let, the perimeter of the other polygon = x feet.

$\frac{3}{4}=\frac{66}{x}$

i.e. $x=\frac{66\times 4}{3}$

i.e. $x=\frac{264}{3}$

i.e. x= 88 feet

Thus, the perimeter of the other polygon is 88 feet.

8 0

2 years ago