Surface Area of the following figure

A triangle has one angle that is 70 degrees and another that is 75 degrees. What is the third angle value in degrees?

mote1985 [20]

Answer:

35 degrees is the third angle's value.

5 0

2 years ago

A florist made 210 bouquets in 5 days how many bouquets did the florist make each day ?

Ksju [112]

210 / 5 = 42 bouquets

6 0

3 years ago

Read 2 more answers

Find the midpoint of the segment with the following endpoints. (7,−2) and (1,−10)

Zinaida [17]

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(7,−2) and (1,−10)

The midpoint is

We have the final answer as

Hope this helps you

3 0

3 years ago

b) If parametric equations of a flow line are x = x(t), y = y(t), explain why these functions satisfy the differential equations

sineoko [7]

Answer:

The equation of the the flow line that passes through the point (x, y) = (−1, −1) is

In y + In x = 0 or in another form, xy = 1.

Step-by-step explanation:

The pathline equation for a vector field is given by F(x,y) = xî - yj

The velocity vector field for the streamline of the flow is given by

V(x, y) = (dx/dt)î + (dy/dt)j

From the question, it is given that

(dx/dt) = x

(dy/dt) = -y

Hence, the velocity vector field for the streamline of the flow in question is

V(x, y) = xî - yj

which coincides with the pathline vector field of the flow.

The only time the pathline and streamline vector field coincide and have the same equation is when the flow is a steady state flow.

That is, the properties of the fluid flowing isn't changing with time!

Hence, this flow is a steady state flow!

We're told to solve the differential equation.

(dx/dt) = x

(dy/dt) = -y

but

(dy/dx) = (dy/dt) × (dt/dx)

(dy/dx) = -y/x

(dy/y) = -(dx/x)

∫(dy/y) = -∫ (dx/x)

In y = - In x + c

where c is the constant of integration

In y + In x = c

In (xy) = c

Inserting the values of (x, y) given in the question,

In (-1 × -1) = c

In 1 = c

0 = c

c = 0

In y + In x = 0

In (yx) = 0

xy = e⁰ = 1

xy = 1

So, the equation of the the flow line that passes through the point (x, y) = (−1, −1) is

In y + In x = 0 or in another form, xy = 1

Hope this Helps!!!

4 0

3 years ago

Daisy purchases a gym membership.She pays a signup fee and a monthly fee off 13$.After 4 months, she has paid a total of$69.Use

bulgar [2K]

Answer:

The signup fee is $17

Step-by-step explanation:

we know that

The equation in point slope form is equal to

$y-y1=m(x-x1)$

where

m is the slope or unit rate of the linear equation

(x1,y1) is a ordered pair of the line

Let

x -----> the number of months

y -----> the total cost of a gym membership

In this problem we have

The slope of unit rate is equal to

$m=\$13\ per\ month$

The ordered pair is

$(x1,y1)=(4,69)$

substitute

$y-69=13(x-4)$ ----> equation in point slope form

Convert to slope intercept form

$y-69=13x-52$

$y=13x-52+69$

$y=13x+17$ ---> equation in slope intercept form

The y-intercept is the signup fee (value of y when the value of x is equal to zero)

therefore

The signup fee is $17

4 0

3 years ago