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3 years ago

8

The Dirk family tips their newspaper carrier for delivering the newspaper. They tip 10% of what they pay for the subscription. T

hey paid $20 in tips for the entire year. How much does their newspaper subscription cost a year?

1 answer:

iragen [17]3 years ago

4 0

Answer:

38

Step-by-step explanation:

90 percent of 20 = 18

18+20

= 38

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Write an equation of a parabola with a vertex at the origin and the given focus 10. Focus at (-1,0)

Nostrana [21]

Step-by-step explanation:

focus(p) is on the x axis= -1

vertex=(0,0)

parabola equation----- (y-h)^2 =4p(x-k)

(h, k)=(0,0)

(y-0)^2 =4(-1)(x-0)

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|

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y^2 = -4x

that is the answer

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3 years ago

A green cross is formed by placing two rectangles of dimensions 8cm×4cm over

Goshia [24]

Answer:

<em>The perimeter of the green cross is 32 cm</em>

Step-by-step explanation:

<u>Perimeter</u>

It's the sum of all the external side lengths of a given shape.

The green cross formed by two rectangles is shown in the figure below.

We have outlined the dimensions of the external sides of the resulting cross.

Note there are four corners of 2 cm by 2 cm and four sides of 4 cm each.

The total perimeter is:

8 * 2 cm + 4 * 4 cm = 16 cm + 16 cm = 32 cm

The perimeter of the green cross is 32 cm

4 0

3 years ago

The diagonals of quadrilateral ABCD

kap26 [50]

Answer:

Step-by-step explanation:

16 ae =x

6 0

3 years ago

Please answer this correctly without making mistakes

LuckyWell [14K]

Answer:

A=63.6 approximately

Step-by-step explanation:

P=14.28

p=1/4(2pi*r)

p=1/2pi*r

14.28=1/2pi*r

28.56=3.14*r

r=9...... approximately

A=1/4pi*r^2

A=0.25*3.14*81

A=63.6......approximately

8 0

4 years ago

A man flies a kite at a height of 16 ft. The wind is carrying the kite horizontally from the man at a rate of 5 ft./s. How fast

Talja [164]

Answer:

4.41 feet per second.

Step-by-step explanation:

Please find the attachment.

We have been given that a man flies a kite at a height of 16 ft. The wind is carrying the kite horizontally from the man at a rate of 5 ft./s. We are asked to find how fast must he let out the string when the kite is flying on 34 ft. of string.

We will use Pythagoras theorem to solve for the length of side x as:

$x^2+16^2=34^2$

$x^2=34^2-16^2$

$x^2=900\\\\x=30$

Now, we will use Pythagorean theorem to relate x and y because we know that the vertical side (16) is always constant.

$x^2+16^2=y^2$

Let us find derivative of our equation with respect to time (t) using power rule and chain rule as:

$2x\cdot \frac{dx}{dt}+0=2y\cdot \frac{dy}{dt}$

We have been given that $\frac{dx}{dt}=5$ , $y=34$ and $x=30$ .

$2(30)\cdot 5=2(34)\cdot \frac{dy}{dt}$

$300=68\cdot \frac{dy}{dt}$

$\frac{dy}{dt}=\frac{300}{68}$

$\frac{dy}{dt}=4.4117647058823529$

$\frac{dy}{dt}\approx 4.41$

Therefore, the man must let out the string at a rate of 4.41 feet per second.

8 0

4 years ago