All categories

3 years ago

Which of the following is the equation of a circle whose center is at the origin and whose radius is 4?

1 answer:

4 0

$\bf \textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{0}{ h},\stackrel{0}{ k})\qquad \qquad 
radius=\stackrel{4}{ r}
\\\\\\
(x-0)^2+(y-0)^2=4^2\implies x^2+y^2=16$

You might be interested in

Find the Error: A student is finding the measures of the angles in a triangle that have the ratio 4:4:7. Find the mistake and co

BaLLatris [955]

Answer:

angles are 48°, 48°, 84°

Step-by-step explanation:

ratio of angles = 4 : 4 : 7 = 4x : 4x : 7x ( x is a multiplier )

the sum of the 3 angles = 180 , then

4x + 4x + 7x = 180 , that is

15x = 180 ( divide both sides by 15 )

x = 12

the student made the error of assuming x = 12 was the size of the 2 equal angles.

the correct angles are

4x = 4 × 12 = 48°

7x = 7 × 12 = 84°

7 0

2 years ago

Read 2 more answers

A triangle has an area of 900m2 . If a parallelogram has the same height and base as the triangle, what is the area of the paral

timama [110]

Answer:

1800 $m^{2}$ is the area of parallelogram.

Step-by-step explanation:

Given that:

Area of a triangle = 900 $m^{2}$

To find:

Area of a parallelogram which has same height and base as that of the given triangle.

Solution:

First of all, let us have a look at the formula for Area of a parallelogram:

$Area_{Par} = Base \times Height$ ...... (1)

So as to find the area of a parallelogram, we need to have the product of Base and Height of Parallelogram.

Now, let us have a look at the formula for area of a triangle:

$Area_{Tri} = \dfrac{1}{2} \times Base \times Height$

Given that height and base of triangle and parallelogram are equal to each other.

So,the product of base and height will also be equal to each other.

$900 = \dfrac{1}{2} \times Base \times Height\\\Rightarrow Base \times Height = 2 \times 900\\\Rightarrow Base \times Height = 1800\ m^2$

By equation (1):

Area of parallelogram = 1800 $m^{2}$

4 0

3 years ago

Please help there both on probability using a spinner which is the spinner in the photos

Levart [38]

1. 3/8
2. No. E(3/8) B(1/8)
3. 1/2
4. Yes both has (1/8) probability
5. 1/4
6. 1/2
7. 1/2
8. 2/3
9. 5/6
10. 1/6
11. 2/3
12. 1/3
13. 1/2
14. No 3(1/6) 4(1/3)

6 0

3 years ago

Anna wants to buy a car in two years and wants to have $10,000 for the purchase. How much will Anna need to deposit today in an

Brut [27]

Answer:

Anna will need to deposit $\$9,050.25$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=2\ years\\A=\$10,000\\ r=0.05\\n=12$

substitute in the formula above and solve for P

$10,000=P(1+\frac{0.05}{12})^{12*2}$

$10,000=P(1.0042)^{24}$

$P=10,000/(1.0042)^{24}$

$P=\$9,050.25$

8 0

3 years ago

Help Me Pls Thanks <3

dybincka [34]

If there are 150 total instruments in said Orchestra, we'll need to divide that number in half.
75, simple enough. Now we know that half of 150 is 75.
Start by writing your problem like this: 150= 75w+37.5b
That equation is all I can think of, because 37.5 is half of 75, which means that's roughly the number you're looking for. Sorry if this doesn't help much

8 0

3 years ago