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2 years ago

How do you know if vertices make a right triangle?

Mathematics

1 answer:

goldfiish [28.3K]2 years ago

8 0

Answer:

Step-by-step explanation:

If the angle is 90 degrees then it is automatically a right triangle anything above or below that is either acute or obtuse angles

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a large park in the shape of a parallelogram. The park has an area of 776 1/4 square yards. The base of the park 34 1/2 yards. m

My name is Ann [436]

Answer:

So, marta will sprint 225 yards.

Step-by-step explanation:

Area of parallelogram= b*h

Given: Area = 776.5 square yards

Base = 34.5 yards

Area = b* h

776.5 = 34.5 * h

776.5/34.5 =h

=> h = 22.5

Since sprint is the same distance as of height of park so,

Distance of 1 sprint = 22.5 yards

Distance of 10 sprints = 10 * 22.5 = 225 yards

4 0

2 years ago

Find the surface area of the prism. Enter your answer in the box. A rectangular prism with dimensions 6 meters by 3 meters by 12

e-lub [12.9K]

Given:

Dimensions of a rectangular prism are 6 meters by 3 meters by 12 meters.

To find:

The surface area of the prism.

Solution:

The surface area of a rectangular prism is:

$A=2(lb+bh+hl)$

Where, l is length, b is breadth and h is height.

Putting $l=6,b=3,h=12$ , we get

$A=2(6\times 3+3\times 12+12\times 6)$

$A=2(18+36+72)$

$A=2(126)$

$A=252$

Therefore, the surface area of the prism is 252 square meters.

3 0

2 years ago

The perimeter of the triangle is 42. Find the length of all the sides.

iragen [17]

<h3>Given :-</h3>

Perimeter of triangle = 42

Side 1 of triangle = (x + 4)

Side 2 of triangle = (3x + 8)

Side 3 of triangle = (5x + 6)

Length of sides

<h3>Explanation:</h3>

So to find length of sides we have to find the value of x.We can find value of x , by this formula:

$\\ \\$

$\bigstar \boxed{ \rm perimeter \: of \triangle \: = side_1 + side_2 + side_3}$

$\\ \\$

So:-

$\\$

$\dashrightarrow \tt perimeter \: of \triangle \: = side_1 + side_2 + side_3 \\$

$\\ \\$

$\dashrightarrow \tt 42 = (x + 4) + (3x + 8)+( 5x + 6) \\$

$\\ \\$

$\dashrightarrow \tt 42 = x + 4+ 3x + 8+5x + 6 \\$

$\\ \\$

$\dashrightarrow \tt 42 = x + 3x+5x+ 4 + 8 + 6 \\$

$\\ \\$

$\dashrightarrow \tt 42 = 9x+ 4 + 8 + 6 \\$

$\\ \\$

$\dashrightarrow \tt 42 = 9x+ 18\\$

$\\ \\$

$\dashrightarrow \tt 42 - 18 = 9x \\$

$\\ \\$

$\dashrightarrow \tt 24 = 9x \\$

$\\ \\$

$\dashrightarrow \tt 9x = 24 \\$

$\\ \\$

$\dashrightarrow \tt x = \dfrac{24}{9} \\$

$\\ \\$

$\dashrightarrow \bf x =2.67 \{approx \}\\$

$\\ \\$

Side 1 of triangle = (x + 4)
Side 1 of triangle =2.67 + 4
Side 1 of triangle = 6.67

Side 2 of triangle = 3x + 8
Side 2 of triangle = 3 × 6.67 + 8
Side 2 of triangle = 20.01 + 8
Side 2 of triangle = 28.01

Side 3 of triangle = 5x + 6
Side 3 of triangle = 5 × 2.67 + 6
Side 3 of triangle = 13.35 + 6
Side 3 of triangle = 19.35

━━━━━━━━━━━━━━━━

~WindyMint

3 0

2 years ago

Kesia knows that 1/4=0.25. Explain how she could use this fact to determine the decimal equivalent of 5/8

STatiana [176]

She knows that
$0.25 = \frac{1}{4} = \frac{2}{8}$
$\frac{5}{8} = \frac{2}{8} + \frac{2}{8} + \frac{1}{8} = \\ 0.25 + 0.25 + \frac{0.25}{2} = \\ 0.25 + 0.25 + 0.125 = 0.625$

4 0

3 years ago

Read 2 more answers

If a material contains three elements joined in a fixed proportion, it is a(an)

Andrei [34K]

The answer is d. if they are chemically joined as a mixture is multiple element but they aren't chemically joined. And an atom is what the element is made of and a solution is not anything to do with joined elements

7 0

3 years ago