Please help! And also with a detail explanation so I can solve the next one on my own !

Answers:

He has  27   quarters and  31   dimes

=========================================================

Work Shown:

d = number of dimes

q = number of quarters

d+q = 58 since there are 58 coins of only these two types

d = 58-q

10d+25q = 985 .... note that 985 cents is $9.85

10(58-q)+25q = 985 .... replace d with 58-q

580-10q+25q = 985

15q+580 = 985

15q = 985-580

15q = 405

q = 405/15

q = 27 ..... Mike has 27 quarters

d = 58-q

d = 58-27

d = 31 .... Mike also has 31 dimes

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As a way to check:

d+q = 31+27 = 58 so that works out

and

10d+25q = 10*31+25*27 = 310+675 = 985

so that works out as well. The answer is confirmed.

The surface area of the cylinder is 1759 sq units.

The surface area is the total area covered by all the faces of a 3D object.  It is always measured in square units.

Given that a cylinder with radius 10 units and height is 18 units, we need to determine the surface area of the cylinder,

The surface area of the cylinder = 2π × radius × (height + radius)

= 2 × 3.14 × 10 × (18+10)

= 1759

Hence, the surface area of the cylinder is 1759 sq units.

Learn more about surface area, click;

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Answer:

[tex]sin 2 \theta = \frac{4 \sqrt5}{9}[/tex]

Step-by-step explanation:

Identities used :

[tex]1. sin^2 \theta = 1 - cos^2\theta\\\\2. tan^2 \theta + 1 = sec^2 \theta\\\\3.cos \theta = \frac{1}{sec \theta} \\\\4. sin 2 \theta = 2 sin\theta cos\theta[/tex]

[tex]Given \ tan \theta = -\frac{2 \sqrt5}{5}\\[/tex]

[tex]we \ know \ tan ^2 \theta + 1 = sec^2\theta[/tex]

            [tex](-\frac{2 \sqrt 5}{5})^2 + 1 = sec^2 \theta\\\\\frac{4 \times 5}{25 } + 1 = sec^2 \theta \\\\\frac{20 + 25}{ 25} = sec^2 \theta \\\\\frac{45}{25} = sec^2 \theta \\\\sec \theta = \sqrt{ \frac{45}{25}}\\\\sec \theta = \sqrt{ \frac{9 \times 5}{5 \times 5}} \\\\sec \theta = \frac{3 \sqrt {5}}{5}\\\\[/tex]

[tex]We \ know \ cos \theta = \frac{1}{ sec \theta}[/tex]

[tex]So , \cos \theta = \frac{5}{3 \sqrt5}[/tex]

[tex]Next \ sin^2 \theta = 1 - cos^2 \theta[/tex]

                 [tex]= 1 - (\frac{5}{3 \sqrt5})^2\\\\=1 - \frac{25}{9 \times 5}\\\\=1 - \frac{25}{45}\\\\=\frac{45 - 25}{45}\\\\=\frac{20}{45}\\\\=\frac{4}{9}[/tex]

    [tex]sin \theta = \sqrt{ \frac{4}{9}} = \frac{2}{3}[/tex]

[tex]Find \ sin 2 \theta[/tex]

[tex]sin 2 \theta = 2 (sin \theta \times cos \theta)[/tex]

        [tex]= 2 \times \frac{2}{3} \times \frac{5}{3\sqrt5}\\\\= \frac{4 \times \sqrt5 \times \sqrt5}{9 \times \sqrt 5}\\\\=\frac{4 \sqrt5}{9}[/tex]

The answer is: [tex]9\sqrt{15}[/tex]

Answer:

Origin

Step-by-step explanation:

The point in the middle of the coordinate plane is called the origin, this point is ploted as (0,0). The origin seprates all four quadrants in a coordinate plane.

Hope this helps:

Nathan

Answer:

8

The missing digit is going to be eight, because if we are rounding to the nearest tenth the 3 won't change anything.

Step-by-step explanation:

Have a nice day! :-)

Answer:

8

Step-by-step explanation:

because the 8 is on the tenths place and with three in the hundredths place I can't round up

Answer:

2⁴ × 3³ × 5

Step-by-step explanation:

By prime factorisation,

→ 2160 = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5

→ 2160 = 2⁴ × 3³ × 5

Find 7% of 200

7% = 7/100

Divide 7 by 100

7/100

= 7 ÷ 100

= 0.07

Multiply 0.07 to 200

0.07 × 200

= 14

Add 14 to 200

200 + 14

= 214

Therefore, the total cost of the iphone including sales tax is $ 214

Answer:

That would be 11.4

Step-by-step explanation:

i've done this before

Answer:

It would be 2.9348211e+40

Step-by-step explanation:

Use a calculator

Answer:

A

Step-by-step explanation:

A is the answer to your question because if you expand with the roots you get the answer

OPTION E is the correct answer.

Hope it helps you...

Answer:

[tex]C = 2[/tex] (A)

Step-by-step explanation:

We assume the constant A is different than 0

We notice that the graph of the function intercepts the x-axis when x = -0.5

we know that cos(x) = 0 when x = π/2 or x = -π/2

thus, [tex]-0.5 + C = \pi /2[/tex]    or  [tex]-0.5 + C = -\pi /2[/tex]

then [tex]C = \pi /2 + 0.5 = 2[/tex]  or [tex]C = -\pi /2 = 0.5 = -1[/tex]

so [tex]C = 2[/tex]

Answer:

1. option c

2. option b

3. option b

Step-by-step explanation:

1 . option C

Square of longer side = sum of squares of other side

a)

5, 6 , 11

[tex]121 = 25 + 36\\does\ not \ satisfy[/tex]

b)

9, 12, 16

[tex]256 = 144 + 81\\Does\ not \ satisfy[/tex]

c)

7, 24, 25

[tex]625 = 576 + 49\\Does\ satisfy[/tex]

d)

12, 20, 25

[tex]625 = 400 + 144\\does \ not \ satisfy[/tex]

2. Option B

Square of longer side = sum of squares of other side

15 ² = 8 ² + r²

225 = 64 + r²

161 = r²

r = 12.688

r = 13ft

3 . Option b

To find length  of AB,  Use distance formula

[tex]AB = \sqrt{(x_2- x_1)^2 + (y_2 - y_1)^2}[/tex]

    [tex]= \sqrt{(14-3)^2 + (6-1)^2}\\\\=\sqrt{11^2 + 5^2}\\\\=\sqrt{121 + 25}\\\\= \sqrt{146} \\= 12 \ ft[/tex]

Answer:

Beep

Step-by-step explanation:

Answer:

[tex]\frac{m^{3}n+5 }{m^{2}n^{2} }[/tex]

Explanation :

is down below in the picture

Please give me brainiest!!

Randomly selected students from across all 6 grade levels.

Answer:

survey across all grade levels i think

Step-by-step explanation:

good luck

Answer:

x=1 , y= 2

Step-by-step explanation:

solving for x:

2x=3(3-x) - 4

- multiply 3 by everything in the parentheses

2x= 9-3x-4

- add 3x to both sides

5x=9-4

5x=5

- divide each side by 5( isolating x)

x=1

solving for y:

y= 3- (1)

- input our solved value for x in the orginal equation

y=2

Answer:

D - 10.9m

Step-by-step explanation:

Answer:

A. 20

B. 11 + 3tt

Step-by-step explanation:

A.  11 + 3(3) = 20

B.  11 + 3(tt)

Answer:

Step-by-step explanation:

A?

first, you arrange all the numbers in ascending sequence, you should get:

62, 64, 65, 65, 67, 68, 68, 69, 69, 69, 70, 70, 70, 71, 71, 71, 73, 72, 72, 73

yes and now you can see there are 20 values all arranged in ascending order. from here, you find the 2 middle values since it is an even number.

it should be value 10 and 11 which is number 69 and 70

now you find the average which is:

[tex]\frac{69+70}{2}[/tex] = 69.5

so your center value is 69.5.

Answer:

25: 6,000

26: 450

27: 70,000,000

28: 10,500

29: 3,052

30: (cant really see the exponent but I think its 10^5)  500,000

31: 9.87

32: 5.43

Answer:

0.013

I think.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

So there are two things that must be remembered.

The radius is half of the diamater. It is the distance from the side of a circle to its center.

The diamater is two times the radius. It is the distance from one side of the circle to the opposite side of the circle.

In this case, we know the radius is 4.

The radius is half of the diamamter, or the diamater is two times the radius.

This can be though of as:

2r=d

Or

1/2d=r

So lets plug 4 in for r:

2*4=d = 8=d

1/2d=4 = 2*1/2=4*2 = 1d=8

So using either of these formulas, we find d is equal to 8.

Hope this helps!

Answer:

C.

Step-by-step explanation:

Answer:

To find the area of a regular hexagon, or any regular polygon, we use the formula that says Area = one-half the product of the apothem and perimeter. As shown below, this means that we must find the perimeter (distance all the way around the hexagon) and the measure of the apothem using right triangles and trigonometry. Area of a Hexagon

Step-by-step explanation: