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alexdok [17]
3 years ago
13

What is the prime factorization of 45

Mathematics
1 answer:
Juliette [100K]3 years ago
8 0
Your prime factorization 5•3•3
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The length of three sides of a triangle are 12, 35 and 37 centimeters. Determine whether the triangle is a right triangle. Show
Aleks04 [339]

Answer:

it is a right triangle

Step-by-step explanation:

confirm if it is a right triangle using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

12² + 35²

144 + 1225 = 1369

square toot of 1369 is 37

so

12² + 35² = 37²

6 0
2 years ago
What is an equation of the line that passing through the points (-2, -5) and (4, 7) ?
monitta

Answer:

y=2x-1

Step-by-step explanation:

Use the slope-intercept formula: y=mx+b where m is slope and b the y-intercept.

(-2,-5)(4,7)

Use the slope formula for when you have two points:

\frac{y(2)-y(1)}{x(2)-x(1)}=\frac{rise}{run}

Rise over run is the change in the y-axis over the change in the x-axis. Insert values:

\frac{7-(-5)}{4-(-2)}

Simplify parentheses (negative+negative=positive)

\frac{7+5}{4+2}

Simplify

\frac{12}{6}=2

2 is the slope:

y=2x+b

Now use one of the points to find the y-intercept by substituting the x and y values into the equation. Solve for b:

(4,7)

y=2x+b\\7=2(4)+b

7=8+b\\7-8=8-8+b\\7-8=b\\-1=b\\b=-1

The y-intercept is -1. Insert into the equation. Change the + symbol to -:

y=2x-1

Done.

6 0
3 years ago
7. What is the volume of the prism? 8 cm 5.8 cm A. 29 cm B. 87 cm3 15.2 cm C. 512.3 cm3 D. 705.3 cm
bija089 [108]

The volume of the rectangular prism is

V=L\times W\times H

Where:

L is its length

W is its width

H is its height

From the given figure

L = 15.2 cm

W = 8 cm

H = 5.8 cm

Substitute them in the rule above

\begin{gathered} V=15.2\times8\times5.8 \\ V=705.28\operatorname{cm}^3 \end{gathered}

Round it to the nearest tenth

V=705.3\operatorname{cm}^3

Answer D

5 0
1 year ago
if you want to make a rectangular prism out of cardboard without overlapping cardboard. it has the length of 3 feet the width of
Phantasy [73]

The surface area of a rectangular prism is given by

... S = 2(LW +H(L+W))

For your dimensions, the surface area is

... S = 2(3·1 + 2(3+1)) = 2(3 + 8) = 22 . . . ft²

8 0
3 years ago
6. Suppose you decide to make and sell silk flower arrangements. You spend $220.00 on materials. You sell each flower arrangemen
Gekata [30.6K]

The profit would you make if sold 23 silk flower arrangements be  $21.5.

<h3>What is Unitary method?</h3>

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

spend on materials = 220

Price for each flower =10.50

If 23 flowers are sold price would be,

= 10.50*23

=241.5

Hence, the profit would be = 241.5-220

                                             = $21.5

Learn more about unitary method here:

brainly.com/question/22056199

#SPJ1

7 0
2 years ago
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