Determine the area of the following circle

31.4 sq.in.

78.5 sq.in.

15.7 sq.in.

314 sq.in​

Answer:

$28.92

Step-by-step explanation:

4 x 5.98

Answer:

23.92

Step-by-step explanation:

5.98 (4) = 23.92

Answer:

D. 4.5%

Step-by-step explanation:

Michael expects the rate of growth to be 4.5% each week  because in the equation inside the parenthesis is 1.045 meaning it has already had 1 added to the original percentage so subtract 1 from 1.045 then move the decimal twice to the right and change it into a percentage sight which will give you 4.5%

the growth rate per week is 4.5% Micheal can expect.

Rate is a measurement to determine the change in one quantity with respect to another quantity.

The given equation is,

y = 82(1.045)x,

Where y represents number of people and x represent number of week.

After 1 week, x=1

y=82×1.045

The multiplying factor is 1.045

It implies that after 1 week growth increase by, 0.045

The percentage value of 0.045 is 4.5%

So the growth rate per week is 4.5%.

To know more about Rate on:

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Answer: 9.90

Step-by-step explanation:

tan 48= 11/x

1.11=11/x

1.11x=11

x=9.90

Answer:

the simple interest in both cases is 200 and 756 respectively

Step-by-step explanation:

The computation of the simple interest is shown below:

As we know that

Simple interest = P × r% × t

So

a. Simple interest is

= 2,500 × 8% × 1

= 200

b. The simple interest is

= 4,200 × 6% × 3

= 756

Hence, the simple interest in both cases is 200 and 756 respectively

Answer:

this question doesn't make sense

Answer:

C 12.50b+22.50n≥800

Step-by-step explanation:

Tonya is staring a jewelry business. She is going to sell b bracelets for $12.50 each and n necklaces for $22.50. Tonya wants to make at least $800 a month.

When we use the word at least in Mathematics is means that it is equal to or more than $800.

It is represented by the symbol ≥

Number of bracelets = b

Number of necklaces = n

Therefore, the inequality below models this situation is given as:

$12.50 × b + $22.50 × n ≥ $800

= 12.50b + 22.50n ≥ 800

Option C is correct.

Answer:

y intercept is (0,-5)

Step-by-step explanation:

Is at x = 0

Intercepts the y axis

Given:

A figure of a quadrilateral.

To find:

The measures of angle 1 and angle 2.

Solution:

The given figure has two pairs of congruent adjacent sides. So, the quadrilateral in the figure is a kite.

We know that the diagonals of a kit are perpendicular to each other at the point of intersection.

[tex]m\angle 1=90^\circ[/tex]

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

[tex]90^\circ+65^\circ+m\angle 2=180^\circ[/tex]

[tex]155^\circ+m\angle 2=180^\circ[/tex]

[tex]m\angle 2=180^\circ-155^\circ[/tex]

[tex]m\angle 2=25^\circ[/tex]

Therefore, the correct option is C.

Answer:

The answer is B

- have a good day

Answer:

x=10

Step-by-step explanation:

work in the photo

Answer:

x=10

Step-by-step explanation:

Subtract 3 from both sides

2x=23-3

Simplify 23-3 to 20

2x=20

Divide both sides by 2  

x=  2 0/2

Simplify 20/2 to 10

x=10

​  

Answer:

30

Step-by-step explanation:

The sum of the angles of a triangle is 180

x+34 +116 = 180

Combine like terms

x+150 = 180

Subtract 150 from each side

x+150-150 = 180-150

x = 30

using the angle sum property of triangle.

According to this, sum of all angles of a triangle is equal to 180°

x° + 116° + 34° = 180°

x° + 150° = 180°

x° = 180° - 150°

x° = 30°

Answer:

x = 31.11

Step-by-step explanation:

Let us assume the third person receives be  x

Now the second person receives be 2x

And, the second  be 3(2x) = 6x

The total is 280

Now the equation is

x + 2x + 6x = 280

9x = 280

x = 31.11

Answer:

$$$$14

Step-by-step explanation:

16 ÷ 8 = 2

each mango = $2

7x2=14

*see attachment for diagram

Answer:

x = 20.5 in.

Step-by-step explanation:

What we are requested to find is the height of the panel/parallelogram = x

Area of each panel = base × height = 287 in.²

Given that the total length of the 3 panels which includes the length of the 2 gaps within them = 50.5 in., first, let's find the base length of each panel.

Base length of each panel = (total length - length of the 2 gaps in between the 3 panels) ÷ 3

= (50.5 - 2*4.25) ÷ 3

= 42 ÷ 3

Base length of each panel = 14 in.

✔️Next is to find the height of the panel, x.

area of parallelogram = base × height

Base = 14 in.

height = x

Area = 287 in.²

Plug in the values

287 = 14 × x

287 = 14x

Divide both sides by 14

287/14 = x

20.5 = x

x = 20.5 in.

Answer:

Step-by-step explanation:

The circumcenter is the intersection of the perpendicular bisectors.

Find the two equations for the perpendicular bisectors and solve the system for intersection point.

Given the vertices A(-4,6), B(6,6), C(6,2)

Find the slope and midpoint of AB and BC

M(AB) is

Perpendicular bisector is a vertical line that passes through (1, 6) so its equation is:

m(BC) is undefined as x-coordinates are same, so the segment is vertical

M(BC) is

Perpendicular bisector is a horizontal line that passes through (6, 4) so it is:

The intersection of the lines x = 1 and y = 4 is the point (1, 4)

The circumcenter is point (1, 4)

Answer:

Option A. 47°

Step-by-step explanation:

In the given triangle as per sine rule

sin F/DE = sin D/54

sin 71/70 = sin D/54

sin D = (54×sin 71)/70 = 54×0.9455/70 = 51.06/70 = 0.729

Therefore Option A. angle D = 47° is the answer.

Answer: 1.44pi

Step-by-step explanation: just plug in 1.2 for r in a=pi(r^2)

Answer:

i. 818.18

ii. 940.9

Step-by-step explanation:

SP = 900

or, CP + 10% of CP = 900

or, CP + 10/100 × CP = 900

or, 110CP = 90000

or, CP = 90000/110

CP = 818.18

for profit= 15%

SP = 9000/11 + 15% of 9000/11

= 940.9

Answer:

Need more points lang sorry

Answer:

(5,3)

Step-by-step explanation:

I plotted the point (3,1) on desmos graphing caculator and labeled it as the vertex.

Next I plotted the point (1,3).

Then I counted the spaces between point 1,3 and 3,1 as shown in the picture

Finally I graphed the point and connected the lines to make sure it looked like a parabola.

answer is D because statement mentions about evelyn applying brake to stop the car.

brainliest

Answer:

2 × pi × radius

..................

Answer:

7x^2 - x -3

Step-by-step explanation:

(6x^2+3x) + (x^2 - 4x -3)

We have to use distributive property first to get rid of the parenthesis, so you simply have to multiply the positive (+) symbol with everything inside the second set of parenthesis.

+ * x^2 = x^2

+ * -4x = -4x

+ * -3 = -3

Now, we rewrite the equation which is

6x^2 + 3x + x^2 - 4x -3

Now you simply combine like terms.

6x^2 + x^2 = 7x^2

3x-4x = -x

The answer will be

7x^2 - x -3

Hope this helps!!

-Ketifa

(Can I get brainliest?)

Answer:

13 servings

Step-by-step explanation:

(11/10) / (2/25)

= 13.75

She can make 13 servings [not enough to make up to 14 servings]

Answer:

£4.80

Step-by-step explanation:

Total amount =  £3.20

Ratio = 2 : 3

Old : New = 2 : 3

3.20 : x = 2:3

[tex]\frac{3.20}{x}=\frac{2}{3}\\\\3.20*3=2*x\\\\\frac{3.20*3}{2}=x\\\\x = 1.60 *3\\[/tex]

x = £ 4.80

Answer:

4/5

Step-by-step explanation:

I believe this is looking for a fraction? 4 over 5 or 4/5 means 4 out of 5.

Answer:

1350 bajan dollar

Step-by-step explanation:

The exchange rate of EC dollar to Barbados currency is

1 EC dollar = 0.75 Barbados currency

EC $1800 in Barbados currency = EC $1800 x 0.75 = 1350 bajan dollar