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3 years ago

What type of triangle is pictured in the following figure?

Mathematics

2 answers:

vekshin13 years ago

5 0

Answer:

A. Isosceles

Step-by-step explanation:

Since two angles are congruent, then the opposite sides are congruent. The two congruent angles measure 70 and 70.

70 + 70 = 140

180 - 140 = 40

The third angle measures 40. The third side is not congruent to the other two, so the triangle is isosceles but not equilateral.

maks197457 [2]3 years ago

4 0

This is an isosceles triangle. The angles in the legs are congruent therefore making the legs congruent as well. Hope this helps!

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Sam is five years old his brother Tom is three times as old as Sam when sam is 20 how old will Tom be?

nikitadnepr [17]

Answer:

Step-by-step explanation:

5 x 3 = 15

15 - 5 = 10

20 + 10 = 30

8 0

3 years ago

(1 pt)What is the vertex of the graph of<br> the function f(x) = x2 + 6x + 9?

Dmitry_Shevchenko [17]

Answer:

(-3,0)

Step-by-step explanation:

3 0

3 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

3 years ago

7th Grade triangle measurements

Vedmedyk [2.9K]

Answer:

ummmmmm....post the pic at least

8 0

3 years ago

The length of the rectangle is 3 times its width.

Blizzard [7]

Answer:

Since length is three times, hence it is 6 inches.

let the width be x.

then, length= 3x

perimeter= 16 inches.

perimeter of a rectangle = 2( L+B)

2(3x+x)=16.

3x+x= 16÷2

4x= 8

x= 2

since length=3x

hence, 3×2= 6 inches

4 0

3 years ago