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lidiya [134]
4 years ago
7

Lucy drove 300 miles in 10 hours. On average, how fast did she drive in hours per

Mathematics
1 answer:
Simora [160]4 years ago
7 0

Answer: 30 miles per hour

Step-by-step explanation:

Speed = distance / time

= 300 / 10

= 30 miles per hour

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What is the area of a triangle with vertices (1,0) (5,0) (3,4)
Aleksandr-060686 [28]

Answer:

The area of the triangle is of 8 units of area.

Step-by-step explanation:

Answer:

The area of the triangle is of 21 units of area.

Step-by-step explanation:

The area of a triangle with three vertices (x_1,y_1),(x_2,y_2),(x_3,y_3) is given by the determinant of the following matrix:

A = \pm 0.5 \left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\1_3&y_3&1\end{array}\right|

In this question:

Vertices (1,0) (5,0) (3,4). So

A = \pm 0.5 \left|\begin{array}{ccc}1&0&1\\5&0&1\\3&4&1\end{array}\right|

A = \pm 0.5(1*0*1+0*1*3+1*5*4-1*0*3-0*5*1-1*1*4)

A = \pm 0.5*(20-4)

A = \pm 0.5*16 = 8

The area of the triangle is of 8 units of area.

3 0
3 years ago
PLS HELP WILL MARK YOU BRAINLIEST!!!
Anettt [7]
<h3>⚘Refer to the attachment!!</h3>

5 0
3 years ago
Read 2 more answers
Is 16.5 a rational or irrational number ​
Mademuasel [1]

Answer:

It is rational

I'm sorry if it's wrong

Step-by-step explanation:

Rational: Stops

Irrational: Keeps going on

7 0
3 years ago
A right triangle has…?
bearhunter [10]
Answer: C and D

Explanation:

Is it A? No, because a right triangle does not have all three sides with equal length. Only in a equilateral triangle will have all three equal sides of equal length.

Is it B? No, because a triangle has ZERO parallel lines. Remember parallel lines are like this | | in a triangle the lines are like this /\

Is it C? Yes, because a triangle has two sides of equal length, meaning it has two congruent sides.

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3 0
3 years ago
A written explanation solving the question how much fluid is needed using the Pythagorean method and finding the area of the tri
Alecsey [184]

Answer:

793 liters of washing fluid is needed

Step-by-step explanation:

step 1

Find the slant height of the triangular faces of pyramid

we know that

The lateral area of a square pyramid is equal to the area of its four triangular faces

so

LA=4[\frac{1}{2}bl]

where

b is the base of triangle (is the same that the length of the square base)

l is the slant height  

To find out the slant height we need to apply the Pythagorean Theorem

so

l^2=(b/2)^2+h^2

we have

b=35.42\ m

h=21.64\ m

substitute

l^2=(35.42/2)^2+21.64^2

l^2=781.9337

l=27.96\ m

step 2

Find the lateral area of the pyramid

LA=4[\frac{1}{2}bl]

we have

l=27.96\ m

b=35.42\ m

substitute

LA=4[\frac{1}{2}(35.42)(27.96)]

LA=1,980.6864\ m^2

step 3

Find out how much window washing fluid is needed

we know that

2 L of washing fluid cover 5 square meters

so

using proportion

\frac{2}{5}\ \frac{L}{m^2}=\frac{x}{1,980.6864}\ \frac{L}{m^2}\\\\x=1,980.6864(2)/5\\\\x= 792.27\ L

Round up

793 liters of washing fluid is needed

6 0
3 years ago
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