All categories

2 years ago

Which of the following must be true in order for SAND to be in a rhombus? Select all that apply

Mathematics

1 answer:

Ahat [919]2 years ago

7 0

Answer:

Consecutive sides must be congruent.

All interior angle adds up to 360°

Step-by-step explanation:

Rhombus:

1. Sides: all 4 sides are congruent.

Then consecutive sides must be congruent.

2.Diagonals : Diagonals bisect each other at 90°.

So, second option is wrong.

3. Sum of interior angle is 360°.

You might be interested in

X + 3x + 2x + 3(x + 1) = 30

wlad13 [49]

┏┓┏┳━━┳┓┏┓┏━━┓ ┃┗┛┃━━┫┃┃┃┃ ╭╮ ┃ ┃┏┓┃━━┫┃┫┗┫ ╰╯ ┃ ┗┛┗┻━━┻━┻━┻━━┛

4 0

3 years ago

Read 2 more answers

Given f(x)= 8x^{15}+6x^{8}-3x^{3}+5x^{2}, the degree is

igor_vitrenko [27]

Answer:

Step-by-step explanation:

2. Degree = 15

6 0

3 years ago

What is the y-intercept of the graph of the equation 6x-5y=-15

guapka [62]

Answer:

y-intercept = 3

Step-by-step explanation:

The given equation is :

6x-5y=-15

We can rewrite it ib slope-intercept form as follows :

Dividing both sides by 5

$\dfrac{6x}{5}-y=\dfrac{-15}{5}\\\\\dfrac{6x}{5}-y=-3\\\\\dfrac{6x}{5}+3=y$ .....(1)

The general equation of slope-intercept form is:

y = mx +c ....(2)

On comparing equation (1) and (2) we get :

m = 6/5

c = 3

Hence, the y intercept of the graph of the equation is 3.

7 0

2 years ago

An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial co

Blizzard [7]

Answer:

$(a)$ $C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ $x=82 \text{planes}$

$(c)$ $p=\$30.91 M\;\; \text{per plane}$

$(d)$ maximum profit $=\$ 15.90M$

Step-by-step explanation:

Given that,

The company estimates that the initial cost of designing the aeroplane and setting up the factories in which to build it will be 500 million dollars.

The additional cost of manufacturing each plane can be modelled by the function.

$m(x)=20x-5x^{\frac{3}{4}}+0.01x^2$

$(a)$ Find the cost, demand (or price), and revenue functions.

$C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ Find the production level that maximizes profit.

$f=R(x)-C(x)$

$\Rightarrow f=320p-7.7p^2-(500+20x-5x^{\frac{3}{4}}+0.01x^2)$

$\Rightarrow df=320dp-15.4pdp-20dx+5(\frac{3}{4} )x^{\frac{-1}{4} }dx-0.02xdx$

$x=320-7.7p$

$p=\frac{320-x}{7.7}$

$\frac{dp}{dx} = \frac{-1}{7.7}$

$\frac{df}{dx}=\frac{320}{-7.7} -\frac{15.4(320-x) }{7.7(\frac{-1}{7.7} )}-20+5\frac{3}{4} x^{\frac{-1}{4}} -0.02x=0$

$\Rightarrow -41.5584+83.1169-0.2597x-20+3.75x^{\frac{-1}{4} }-0.02x=0$

$\Rightarrow 21.5585+3.75x^{\frac{-1}{4} }-0.279x=0$

$\Rightarrow x=82 \text{planes}$

$(c)$ Find the associated selling price of the aircraft that maximizes profit.

$p=\frac{320-82}{7.7}$

$\Rightarrow p=\$30.91 M\;\; \text{per plane}$

$(d)$ Find the maximum profit.

Manufacturing cost of one plane is:

$m(1)=20-5+0.01$

$=\$15.01 M$

maximum profit $=\$(30.91-15.01)M$

$=\$15.90M$

3 0

2 years ago

ILL BRAINLIEST YOU PLEASE HELP ME

Aleksandr-060686 [28]

Answer:

x = 71/5 (as an improper fraction)

x = 14 1/5 (as a proper fraction

x = 14.2 (as a decimal)

Step-by-step explanation:

It's a rectangle so the diagonals are equal

7x - 9 = 2x + 62

Subtract 2x from both sides

5x - 9 = 62

Add 9 to both sides

5x = 71

Divide both sides by 5

x = 71/5 (as an improper fraction)

x = 14 1/5 (as a proper fraction

x = 14.2 (as a decimal)

8 0

2 years ago

Read 2 more answers