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2 years ago

Determine the area of the shaded triangle below. Explain your reasoning

Mathematics

1 answer:

lora16 [44]2 years ago

7 0

Answer:

A = 35 units

Step-by-step explanation:

The variable "b" represents the length of the triangle's base and "h" represents the highest height of the triangle. The area of a triangle can be determined using the formula:

A = 0.5bh

The area of the top triangle (including the isosceles triangle and the orange triangle) is:

A = 0.5 x (14 units) x (3 units + 5 units)

A = 56 units

The area of the isosceles triangle is:

A = 0.5 x (14 units) x (3 units)

A = 21 units

Thus, the area of the orange triangle is the area of both triangles minus the area of the isosceles triangle.

A = 56 units - 21 units

A = 35 units

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The height of the pyramid in the diagram is three times the radius of the cone. The base area of the pyramid is the same as the

drek231 [11]

B(cone)=B(pyramid)=r²π
V(pyramid)=1/3 * B * H = 1/3 * r² π * 3 r ( 3 will cancel out )= r³ π
Answer: r³ π

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3 years ago

Read 2 more answers

Present a picture of an object (TV, Ipad Screen, Book Cover) that contains a right angle (it could be something in nature or tha

myrzilka [38]

The measure of hypotenuse using the ruler is 25.5 cm and using the formula is 23.43 cm, they are not same, and formula can be used to in the real life problems as well.

<h3>What is a right-angle triangle?</h3>

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

The question is incomplete:

The complete question is:

Present a picture of an object (TV, Ipad Screen, Book Cover) that contains a right angle (it could be something in nature or that is man-made). Use a ruler or measuring tape to measure the two sides that make the right angle and measure the distance from the end of one side to the end of the other side (hypotenuse). Draw a diagram of the object including the measurements. Use your leg measurements on your diagram to calculate a theoretical hypotenuse. (Show all steps).

Does the hypotenuse that measured with a ruler/measuring tape equal the hypotenuse you calculated?
Why do you think they are or are not exactly the same?
What did you learn from developing this presentation?

We are assuming the length of one side x:

x = 18 cm

Length of other side y:

y = 15 cm

And length of the hypotenuse z:

z = 23.5 cm

From the Pythagoras theorem:

z² = x² + y²

z² = 18² + 15²

z² = 549

z = √54 = 23.43 cm

The measure of hypotenuse is:

Using ruler: x = 25.5 cm

Using formula: x = 23.43 cm

They are not equal due to the reading in the ruler.

The formula can be used to in the real life problems as well.

Thus, the measure of hypotenuse using the ruler is 25.5 cm and using the formula is 23.43 cm, they are not same, and formula can be used to in the real life problems as well.

Learn more about the right angle triangle here:

brainly.com/question/3770177

#SPJ1

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2 years ago

Nind reeds

Usimov [2.4K]

Answer:

42 gallons.

Step-by-step explanation:

count every inch *2 and calculate gallons

3 0

3 years ago

If the coordinates of point E are (-4, y), what is the value of<br> у?

BlackZzzverrR [31]

Answer:

-8

Step-by-step explanation:

First we need to find the slope of CD.

We know C is (-10, -2)

and we know D is (10,6)

If we use the slope formula, we can see the slope is $m=\frac{6-(-2)}{10-(-10)}$

$m = \frac{8}{20} \\m=\frac{2}{5}$

We can see point F is at (6,-4)

We can find the equation of this line by using point slope form, and plugging in F as our point.

$y-(-4)=\frac{2}{5}(x-6)\\y=\frac{2}{5}x-\frac{32}{5}$

To find where E, we need to find the y value when x = -4

$y=\frac{2}{5}(-4)-\frac{32}{5}\\y =-8$

8 0

3 years ago

Read 2 more answers

Please help!!! i'll give brainliest and offering 20 pts each!!!

Aleks04 [339]

Answer:

5(x +1.5)^2
10(x +1)^2
1/4(x +2)^2
3(x +5/6)^2

Step-by-step explanation:

When your desired form is expanded, it becomes ...

a(x +b)^2 = a(x^2 +2bx +b^2) = ax^2 +2abx +ab^2

This tells you the overall factor (a) is the leading coefficient of the given trinomial. Factoring that out, you can find b as the root of the remaining constant.

a) 5x^2 +15x +11.25 = 5(x^2 +3x +2.25) = 5(x +1.5)^2

b) 10x^2 +20x +10 = 10(x^2 +2x +1) = 10(x +1)^2

c) 1/4x^2 +x +1 = 1/4(x^2 +4x +4) = 1/4(x +2)^2

d) 3x^2 +5x +25/12 = 3(x^2 +5/3x +25/36) = 3(x +5/6)^2

_____

<em>Additional comment</em>

If you know beforehand that the expressions can be factored this way, finding the two constants (a, b) is an almost trivial exercise. It gets trickier when you're trying to write a general expression in vertex form (this form with an added constant). For that, you must develop the value of b from the coefficient of the linear term inside parentheses.

8 0

2 years ago