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3 years ago

Quadrilateral ABCD is inscribed in this circle What is the measure of angle A?

Mathematics

1 answer:

Ede4ka [16]3 years ago

8 0

Answer:

The four angles of a quadrilateral sum to 360 degrees.

If A and B are right angles then (2x+1) + 148 equal 180 degrees.

Therefore angle A = 32 degrees.

Step-by-step explanation:

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Adrian's backyard pool contains 6.4 gallons of water. Adrian will begin filling his pool at a rate of 4.1 gallons per second. Da

nirvana33 [79]

Answer:

The data that we have is:

"Adrian's backyard pool contains 6.4 gallons of water. Adrian will begin filling his pool at a rate of 4.1 gallons per second."

Then we can write the amount of water in Adrian's pool as a linear function:

A(t) = 6.4gal + (4.1gal/s)*t

Where t is our variable and represents time in seconds.

We also know that:

"Dale's backyard pool contains 66.4 gallons of water. Dale will begin draining his pool at a rate of 0.9 gallons per second. "

We can also model this with a linear function:

D(t) = 66.4 gal + (0.9gal/s)*t

Both pools will have the same amount of water when:

D(t) = A(t)

So we can find the value of t:

6.4gal + (4.1gal/s)*t = 66.4 gal + (0.9gal/s)*t

(4.1gal/s)*t - (0.9gal/s)*t = 66.4gal - 6.4gal

(3.2gal/s)*t = 60gal

t = 60gal/(3.2gal/s) = 18.75s

In 18.75 seconds both pools will have the same amount of water.

4 0

4 years ago

Simplify the expression: -2y^7/14y^5<br><br> (the "^" means that the number behind it is a exponent)

Debora [2.8K]

Answer:

2 $y^{5} \sqrt{y}$

Step-by-step explanation:

i hope this helps

4 0

3 years ago

3 doughnuts and 2 cakes costs £7.

Rufina [12.5K]

Answer:

cost of the doughnut = 1

cost of the cake =2

5 0

3 years ago

NEED ANSWER FAST, WITH WORK. BE DETAILED AND CORRECT OR BE REPORTED

8090 [49]

Answer:A: 8,000 bleacher seats. 4,500 + 7,500 premium seats = 12,000. 12,000/x = 3/2. x = 8,000.

Step-by-step explanation:

It was right on study island.

4 0

3 years ago

Help me please, match the number to the letter

kenny6666 [7]

Answer: 1b 2c 3e? 4d 5a

<u>Step-by-step explanation:</u>

There are 2 items that need to be checked.

The midpoint of the coordinates is the center of the circle
The diameter of the coordinates is the diameter of the circle.

Midpoint:

$Midpoint = \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\1)\ \bigg(\dfrac{-4+2}{2},\dfrac{-1+10}{2}\bigg)=\bigg(\dfrac{-2}{2},\dfrac{9}{2}\bigg)=(-1, 4.5)\implies \text{equation b}\\\\\\2)\ \bigg(\dfrac{1+7}{2},\dfrac{3-10}{2}\bigg)=\bigg(\dfrac{8}{2},\dfrac{-7}{2}\bigg)=(4, -3.5)\implies \text{equation c}\\\\\\3)\ \bigg(\dfrac{4-8}{2},\dfrac{-2+6}{2}\bigg)=\bigg(\dfrac{-4}{2},\dfrac{4}{2}\bigg)=(-2,2 )\implies \text{none of the equations}$

$4)\ \bigg(\dfrac{6-4}{2},\dfrac{3-13}{2}\bigg)=\bigg(\dfrac{2}{2},\dfrac{-10}{2}\bigg)=(1, -5)\implies \text{equation d}\\\\\\5)\ \bigg(\dfrac{7-1}{2},\dfrac{5+8}{2}\bigg)=\bigg(\dfrac{6}{2},\dfrac{13}{2}\bigg)=(3, 6.5)\implies \text{equation a}$

Diameter:

distance between coordinates = 2√r² (from circle equation)

$\text{formula for coordinates is: }d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\1)\ \text{Coordinates: } d=\sqrt{(-4-2)^2+(-1-10)^2}=\sqrt{36+121}=12.5\\b)\ \text{Circle: }2\sqrt{39.25}=12.5\\\\\\2)\ \text{Coordinates: } d=\sqrt{(1-7)^2+(3+10)^2}=\sqrt{36+169}=14.3\\c)\ \text{Circle: }2\sqrt{51.25}=14.3\\\\\\4)\ \text{Coordinates: } d=\sqrt{(6+4)^2+(3+13)^2}=\sqrt{100+256}=18.9\\d)\ \text{Circle: }2\sqrt{89}=18.9$

$5)\ \text{Coordinates: } d=\sqrt{(7+1)^2+(5-8)^2}=\sqrt{64+9}=8.5\\a)\ \text{Circle: }2\sqrt{18.25}=8.5$

Check:

Graph to confirm your answers are correct (see attached)

8 0

4 years ago