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pychu [463]
3 years ago
11

The area of a right triangle is 210 square inches. The height of the right triangle is 35 inches.

Mathematics
1 answer:
Semmy [17]3 years ago
7 0

Answer:

37 inch

Step-by-step explanation:

Area of ∆ = ½ height x base

210 = ½ x 35 x base

12 = base

Using Pythagoras theorem,

=> hypotenuse = √height² + base²

=> hypotenuse = √35² + 12² = 37

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The town of Fitzgerald wants to build a coffee house halfway between Oak Station and Pine Station. Where should it be located (l
Lubov Fominskaja [6]

Answer:

1, 1/2

Step-by-step explanation:

the coordinates would be Oak station(8,8) and Pine Station(-6,-7).

The midpoints would be

=[8+(-6)]/2 , [8+(-7)]/2

=2/2 , 1/2

=1, 1/2

4 0
3 years ago
What are the constants in the expression below? Check all that apply.
AlexFokin [52]
Constants are numbers alone with no variables.

The constants are: 12, -3.7, 1/3
4 0
3 years ago
Read 2 more answers
Part C
makkiz [27]

a = 1, b =14 and y-coordinate is 6 when x = 0.

Solution:

Let us first write the equation of a line.

Take the points are (2, 2) and (6, 10).

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{10-2}{6-2}

$m=\frac{8}{4}

m = 2

Point-slope formula:

y-y_1=m(x-x_1)

y - 10 = 2(x - 2)

y - 10 = 2x - 4

Add 10 on both sides,we get

y = 2x + 6

Equation of a line is y = 2x + 6.

To find (a, 8), substitute x = a and y = 8 in the equation,

8 = 2a + 6

Subtract 6 from both sides, we get

2 = 2a

a = 1

To find (4, b), substitute x = 4 and y = b in the equation,

b = 2(4) + 6

b = 8 + 6

b = 14

Substitute x = o in the equation.

y = 2(0) + 6

y = 6

The y-coordinate is 6 when x = 0.

7 0
3 years ago
Pls help me with number
vredina [299]

Answer:

Total people = 240

Step-by-step explanation:

Let the total number of people by 'x'.

\sf \text{Number of men =$ \dfrac{1}{4}*x$} \\

\sf \text{Number of women =$\dfrac{1}{3}x$}

Number of children = 100

When we subtract the total number of men and women from the total people 'x', we get the number of children.

\sf x - \left(\dfrac{1}{4}x+\dfrac{1}{3}x\right)= 100\\\\x - \left(\dfrac{1*3}{4*3}x+\dfrac{1*4}{3*4}x\right)=100\\\\

      x- \dfrac{4+3}{12}x=100\\\\x - \dfrac{7}{12}x   = 100\\\\ \dfrac{12}{12}x-\dfrac{7}{12}x = 100\\\\          \dfrac{5}{12}x=100\\

          \sf x = 100*\dfrac{12}{5}\\

          x = 20 * 12

          x = 240

<h3>             Total number of people = 240</h3>
7 0
2 years ago
Jacqueline has $5.65 in nickels and quarters. If she has 45 coins in all, how many nickels does she have?
Semenov [28]

Answer:

28 Nickels

Step-by-step explanation:

5 0
3 years ago
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