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kirill115 [55]
2 years ago
10

Identify the lateral area and surface area of a regular square pyramid with base edge length 5 in. and slant height 9 in.

Mathematics
1 answer:
Galina-37 [17]2 years ago
7 0
Note that a squared pyramid has a square base & 4 equal triangles.
To find the lateral the lateral area you calculate the area of the 4 equal triangles  and to find the surface area (total Area) you add the area of the base:

Area of each triangle = side (5) x slant (9) and you divide by 2

==>Aera of 1 triangle = (9x5)/2 = 45/2 & for the 4 triangles

Lateral area = (45/2) x 4 = 90 in²

Now the base area (square) = 5 x 5= 25 in²

so the surface area = 90+25 = 115 in² (answer a)
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How much does 4 7/5 kg of candy cost if 5/6 kg costs 7.50
inn [45]

Answer:

$48.60

Step-by-step explanation:

4 7/5 is a funny way to express a fraction... but anway..... if this is correct, then the answer is as follows:

5/6 kg ------> cost $7.50

1 kg ----> costs $7.50 ÷ 5/6 kg = $9

4 7/5 kg ------> costs $9 x (4 7/5) = $9 x (27/5) = $48.60

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3 years ago
Read 2 more answers
How many times does the graph of 4x = 32 - x2 cross the x-axis?
garik1379 [7]

Answer:

The graph crosses the x-axis 2 times

The solutions are  x = -8  &  x = 4

Step-by-step explanation:

Qaudratics are in the form ax^2 + bx+ c

Where a, b, c are constants

Now, let's arrange this equation in this form:

4x=32-x^2\\x^2+4x-32=0

Where

a = 1

b = 4

c = -32

We need to know the discriminant to know nature of roots. The discriminant is:

D=b^2-4ac

If

  • D = 0 , we have 2 similar root and there is 2 solutions and that touches the x-axis
  • D > 0,  we have 2 distinct roots/solutions and both cut the x-axis
  • D < 0,  we have imaginary roots and it never cuts the x-axis

Let's find value of Discriminant:

D=b^2-4ac\\D=(4)^2 -4(1)(-32)\\D=144

Certainly D > 0, so there are 2 distinct roots and cuts the x-axis twice.

We get the roots/solutions by factoring:

x^2+4x-32=0\\(x+8)(x-4)=0\\x=4,-8

Thus,

The graph crosses the x-axis 2 times

The solutions are  x = -8  &  x = 4

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3 years ago
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True or false: one factor that affects the slope of the aggregate demand curve is the multiplier effect.
Alenkasestr [34]

One factor that affects the slope of the aggregate demand curve is the multiplier effect is a "true" statement.

<h3>What is aggregate demand curve?</h3>

Aggregate demand would be a macroeconomic term which refers to the total consumption of goods and services in a given period at any price level.

Some key features regarding the aggregate demand curve?

  • Since the two metrics are estimated in the same way, aggregate demand over time corresponds gross domestic product (GDP).
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  • The aggregate demand as well as GDP rise or fall together as a result of using the same calculation methods.
  • All consumer goods, capital equipment (factories & equipment), export markets, imports, & government spending programs are included in aggregate demand.
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To know more about the aggregate demand curve, here

brainly.com/question/28056154

#SPJ4

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