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EleoNora [17]
3 years ago
10

If a triangle has a height of 12 inches and a base of 5 inches, what is its area

Mathematics
2 answers:
Alina [70]3 years ago
4 0
Area of a Triangle = base * height

Area = 12 inches * 5 inches

Area = 60 inches²
oksano4ka [1.4K]3 years ago
3 0
Area of a triangle is

A = 1/2 ×base × height
A = 1/2 × 5 × 12
A = 1/2 × 60
A = 30 square inches
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Pablo built a large wooden storage box. The box was in the shape of a rectangular prism, as shown below. He covered all the side
Naily [24]

The cost of wallpaper used to cover all sides of the storage box is given by $3 per square foot

<h3>Cost of wallpaper per square foot</h3>

  • length = 9 ft
  • Width = 8 ft
  • Height = 5 ft

Surface area of a box = 2(lh + wh + lw)

= 2(9×5 + 8×5 + 9×8)

= 2(45 + 40 + 72)

= 2(157)

= 314 square foot

  • Total cost of wallpaper = $942

Cost of wallpaper per square foot = $942 ÷ 314 square foot

= $3 per square foot

Learn more about surface area:

brainly.com/question/2500827

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3 0
2 years ago
Estimate the difference 610-187
Tresset [83]
610-187 is 423 but when you estimate it would be 400 this is your answer
3 0
3 years ago
Read 2 more answers
The focus of a parabola is (0, -3) and the directrix is y = 3. What is the equation of the parabola?
OleMash [197]

Answer:

The equation of the parabola is y = -12\cdot x^{2}.

Step-by-step explanation:

Since the directrix is of the form y = a, the parabola is vertical. The vertex of the parabola (V(x,y)) is the midpoint between the focus (F(x,y)) and a point of the directrix (P(x,y)), that is to say:

V(x,y) = \frac{1}{2}\cdot F(x,y) + \frac{1}{2}\cdot P(x,y) (1)

If we know that F(x,y) = (0, -3) and P(x,y) = (0, 3), then the coordinates of the vertex of the parabola:

V(x,y) = \frac{1}{2}\cdot (0, -3) + \frac{1}{2}\cdot (0, 3)

V(x,y) = (0, 0)

The vertex factor (p) is the distance of the focus with respect to the vertex:

p = \sqrt{[F(x,y)-V(x,y)]\,\bullet \,[F(x,y)-V(x,y)]} (2)

If we know that F(x,y) = (0, -3) and V(x,y) = (0, 0), then the vertex factor is:

p = \sqrt{0^{2}+(-3)^{2}}

p = -3

The equation of the parabola in the vertex form is described below:

y - k = 4\cdot p \cdot (x-h)^{2} (3)

Where:

x - Independent variable.

y - Dependent variable.

h, k - Coordinates of the vertex.

If we know that (h,k) = (0, 0) and p = -3, then the equation of the parabola is y = -12\cdot x^{2}.

6 0
2 years ago
Look at the graph. which equation represents the graph?
Svetllana [295]
The correct answer is A
4 0
2 years ago
-5x-(8-x)=12 how do I solve this problem.<br> show a step by step please in a balance problem
Alex

Answer:

x = -5

Step-by-step explanation:

to evaluate for x in this this question -5x-(8-x)=12

the firsst step, you would open the bracket with - then evaluate for the value of x

solution

-5x-(8-x)=12

-5x -8 + x = 12

combine the like terms

-5x + x = 12 + 8

-4x = 20

divide both sides by the coefficient of x

-4x/-4 = 20/-4

x = -5

5 0
3 years ago
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