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3 years ago

A right triangle has a height of 27 inches

2 answers:

5 0

405 In^2

The formula for area of a triangle is 1/2Bh. One half of the area of the base times height, because base times height is a square and triangles are half a square. Let's solve for the area now.

A=1/2Bh

Plug in our information

A=1/2(30)(27)

Multiply parentheses.

A=1/2(810)

Multiply by 1/2 or divide by two.

A=405

The area of the triangle is 405 inches squared.

ohaa [14]3 years ago

4 0

Answer:

405 $inches^{2}$

Step-by-step explanation:

Area of a triangle = $\frac{1}{2}$ Base * Height

$\frac{1}{2}$ * 30* 27 = 405 $inches^{2}$

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Sliva [168]

Answer:

the distance is -2

Step-by-step explanation:

because you subtract

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4 years ago

Read 2 more answers

Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper c

svp [43]

Answer:

0.2839 = 28.93%

Step-by-step explanation:

In order to find find the probability that one car chosen at random will have less than 68.5 tons of coal, we have to find z

Le x be tons of coal in a car

Z = (x – mean)/standard deviation

Z = (x – μ)/ σ

P (x<68.5) = P(z < (68.5-69)/0.9)

P (x<68.5) = P(z < -0.5555)

Then we use the z table to find the area under the curve.

P (x<68.5) = 0.2893

5 0

3 years ago

2. What is the measure of angle AOE and angle EOD?<br><br> X+138<br><br> x + 48

horrorfan [7]

Answer:

AOE = 138, EOD = 48

Step-by-step explanation:

Since AD is the diameter of the circle and goes through the middle

angle AOE + angle EOD = 180

Solving the equation (x + 138) + ( x+ 48) = 180

We get x = 0.

8 0

3 years ago

A rectangular box with a square base is to be constructed from material that costs $9 per ft2 for the bottom, $5 per ft2 for the

kramer

Answer:

$18.73ft^3$

Step-by-step explanation:

Let

Side of square base=x

Height of rectangular box=y

Area of square base=Area of top= $(side)^2=x^2$

Area of one side face= $l\times b=xy$

Cost of bottom=$9 per square ft

Cost of top=$5 square ft

Cost of sides=$4 per square ft

Total cost=$204

Volume of rectangular box= $V=lbh=x^2y$

Total cost= $9(x^2)+5x^2+4(4xy)=14x^2+16xy$

$204=14x^2+16xy$

$204-14x^2=16xy$

$y=\frac{204-14x^2}{16x}=\frac{102-7x^2}{8x}$

Substitute the values of y

$V(x)=x^2\times \frac{102-7x^2}{8x}=\frac{1}{8}(102x-7x^3)$

Differentiate w.r.t x

$V'(x)=\frac{1}{8}(102-21x^2)=0$

$V'(x)=0$

$\frac{1}{8}(102-21x^2)=0$

$102-21x^2=0$

$102=21x^2$

$x^2=\frac{102}{21}=4.85$

$x=\sqrt{4.85}=2.2$

It takes positive because side length cannot be negative.

Again differentiate w.r. t x

$V''(x)=\frac{1}{8}(-42x)$

Substitute the value

$V''(2.2)=-\frac{42}{8}(2.2)=-11.55$

Hence, the volume of box is maximum at x=2.2 ft

Substitute the value of x

$y=\frac{102-7(2.2)^2}{8(2.2)}=3.87 ft$

Greatest volume of box= $x^2y=(2.2)^2\times 3.87=18.73 ft^3$

5 0

4 years ago

A small company has 10,000 shares. Stephen owns 500 of these shares. The company decides to split its shares. What is Stephen's

Sergeu [11.5K]

So the company splits there shares now every thing doubles now there are 20,000 shares and you own 1,000 to find the answer you divide a

1,000 by 20,000 which will give you 0.05 then you multiply

0.05 by 100 and you get 5

So after the split you own 5% of the company

7 0

3 years ago