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2 years ago

What's the área of this triangle?

Mathematics

2 answers:

AnnyKZ [126]2 years ago

6 0

Answer:

192 SQUARE FEET

Step-by-step explanation:

Area of a triangle= 1/2 ×base×height

1/2 of the base =32/2 ft

=16 ft

Let the height be A ft and another side(16 ft) be B ft

We know that, A^2 + B^2 =Hypotenuse^2

OR, A^2 + 16^2 = 20^2

OR, A^2= 400-256

OR, A^2 =144

OR, A= Square root of 144

OR, A=12 ft

By the problem,

1/2 ×Base×Height =Area of half of the triangle

1/2 ×16×12= Area of half of the triangle

96=Area of half of the triangle

AREA OF THE TRIANGLE=96 ×2

AREA OF THE TRIANGLE=192 SQUARE FEET.

HOPE IT HELPS

MARK ME BRAINLIEST

Goryan [66]2 years ago

4 0

Answer:llength times width divided by 2

Step-by-step explanation:

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Assume the time required to complete a product is normally distributed with a mean 3.2 hours and standard deviation .4 hours. Ho

Alex787 [66]

Answer: 3.712 hours or more

Step-by-step explanation:

Let X be the random variable that denotes the time required to complete a product.

X is normally distributed.

$X\sim N(\mu=3.2\text{ hours},\ \sigma=0.4\text{ hours} )$

Let x be the times it takes to complete a random unit in order to be in the top 10% (right tail) of the time distribution.

Then, $P(\dfrac{X-\mu}{\sigma}>\dfrac{x-\mu}{\sigma})=0.10$

$P(z>\dfrac{x-3.2}{\sigma})=0.10\ \ \ [z=\dfrac{x-\mu}{\sigma}]$

As, $P(z>1.28)=0.10$ [By z-table]

Then,

$\dfrac{x-3.2}{0.4}=1.28\\\\\Rightarrow\ x=0.4\times1.28+3.2\\\\\Rightarrow\ x=3.712$

So, it will take 3.712 hours or more to complete a random unit in order to be in the top 10% (right tail) of the time distribution.

3 0

3 years ago

The two ends of this triangular right prism are equilateral triangles. The

maria [59]

If the two ends of this triangular right prism are equilateral triangles. The surface area of the prism is 74cm.

<h3>Surface area</h3>

Using this formula

A=bh+L(S1+S2+S3)

Where:

L=5cm

b=4cm

h=3.5cm

S1=4cm

S2=4cm

S3=4cm

Let plug in the formula

A=4(3.5)+5(4+4+4)

A=14+5(12)

A=14+60

A=74 cm

Therefore the surface area of the prism is 74cm.

Learn more about surface area here:brainly.com/question/16519513

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7 0

1 year ago

F(x) = x^2, g(x) = 2/3 x^2 comparison

daser333 [38]

Answer:

g(x) is a vertical compression of f(x)

Step-by-step explanation:

Equation of graph 1 : $f(x)=x^2$

Equation of graph 2 : $g(x)=\frac{2}{3}x^2$

f(x)→a f(x)

Its is case of vertical stretch or compression

Vertical stretch if |a|>1

Vertical compression if 0<|a|<1

f(x)→a f(x)

So, $x^2$ → $\frac{2}{3}x^2$

So, $a= \frac{2}{3}=0.67$

So,0<|a|<1

So,It is a case of vertical compression

So, g(x) is a vertical compression of f(x)

8 0

3 years ago

How many cubic inches are in one-sixth of one cubic yard?

sasho [114]

Cubic Yards to Cubic Inches Conversion 1 Cubic yard is equal to 46656 cubic inches. To convert cubic yards to cubic inches, multiply the cubic yard value by 46656.

3 0

2 years ago

Read 2 more answers

Can I have some help?

lisabon 2012 [21]

Answer:

$x = \sqrt{58}$

Step-by-step explanation:

first, you should draw a line to separate the triangle from the rectangle

You can get the height if the triangle by saying 16-9

This will give you 7

The base of the triangle is 3 because the opposite side is given and the opposite sides of a rectangle are equal

Now that we have the measurements of the triangle we can use the Pythagorean theorem

${c}^{2} = {a}^{2} + {b}^{2}$

${x}^{2} = {7}^{2} + {3}^{2}$

${x}^{2} = 49+ 9$

${x}^{2} = 58$

$x = \sqrt{58}$

3 0

2 years ago

What's the área of this triangle?​

What's the área of this triangle?