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Nikitich [7]
3 years ago
13

A circle is graphed with its center on the origin.The area of the circle is 49 square units.What are the coordinates of the x-in

tercepts of the graph? Round to the nearest tenth
Mathematics
1 answer:
neonofarm [45]3 years ago
3 0

Answer:

3.95 and -3.95

Step-by-step explanation:

To graph a circle you can use the formula or (x – h)^2 + (y – k)^2 = r^2. So substituting in the given, we get x^2+y^2=49/pi. The x intercept is when y=0. So x^2=49/pi and so

x = sqrt(49/pi) and rounding to the nearest tenth, we get 3.95 and -3.95 because it isn’t a principal square root.

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A student stands 20 m away from the foot
Ostrovityanka [42]

Answer:

Height of tree is \approx <em>15 m.</em>

<em></em>

Step-by-step explanation:

Given that student is 20 m away from the foot of tree.

and table is 1.5 m above the ground.

The angle of elevation is: 34°28'

Please refer to the attached image. The given situation can be mapped to a right angled triangle as shown in the image.

AB = CP = 20 m

CA = PB = 1.5 m

\angle C = 34°28' = 34.46°

To find TB = ?

we can use trigonometric function tangent to find TP in right angled \triangle TPC

tan \theta = \dfrac{Perpendicular}{Base}\\tan C= \dfrac{PT}{PC}\\\Rightarrow tan 34.46^\circ = \dfrac{PT}{20}\\\Rightarrow PT = 20 \times 0.686 \\\Rightarrow PT = 13.72\ m

Now, adding PB to TP will give us the height of tree, TB

Now, height of tree TB = TP + PB

TB = 13.72 + 1.5 = 15.22 \approx <em>15 m</em>

7 0
3 years ago
Doors for the small cabinets are 17.5 inches long. Doors for the large cabinets are 2.7 times as long as the doors for the small
AleksAgata [21]

Answer:

3 large doors

Step-by-step explanation:

Given

Board = 12ft

Represent small door with S and large with L

S = 17.5\ in

From the question, we understand that;

L = 2.7 * S

So, we have that

L = 2.7 * 17.5\ in

L = 47.25\ in

Required

Determine the number of Large doors that can be cut from the board

To do this, we simply divide the size of the board by the size of the large cabinet

i.e.

Number = \frac{Board}{L}

Number = \frac{12\ ft}{47.25\ in}

Convert feet to inches

Number = \frac{12 * 12\ in}{47.25\ in}

Number = \frac{144\ in}{47.25\ in}

Number = 3.04761904762

Get the integer part of the decimal

Number = 3

Hence:

3 large doors can be gotten from the board

8 0
2 years ago
X y
Allushta [10]

Answer:

D)\ \{3,-1\}

Step-by-step explanation:

Image of x=0 is y=3

Image of x=2 is y=-1

Hence \{0,2\} corresponds to \{3,-1\}

3 0
3 years ago
1/8y verbal expression
Brums [2.3K]

The algebraic expression 1/8y verbal expression is: one is divided by the product of 8 and a number.
 

To decipher the mathematical information in a problem, a verbal expression (or verbal model) uses words. From a verbal model,  an equation can often be written.

5 0
3 years ago
Tyler is overdrawn at the bank by $180. His brother has $70 more than him. How much money does Tyler's brother have?
Lena [83]

Answer:

Tyler's brother has $250

Step-by-step explanation:

180+70 =250

8 0
2 years ago
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