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Nana76 [90]
3 years ago
11

A rectangular pyramid with a height of 10 inches and a base that measures 9 by 6 inches

Mathematics
1 answer:
il63 [147K]3 years ago
4 0
The formula for the volume of a pyramid is base*height*1/3
For this pyramid, it would be
(9*6)(10)(1/3)
540(1/3)

180

The answer is 180 cubic inches
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Express y = -2x² - 4x + 7 in the form of perfect square and find the maximum points.
Marat540 [252]

Answer:

<em>Maximum: (-1,9)</em>

Step-by-step explanation:

<u>Vertex form of the quadratic function</u>

If the graph of the quadratic function has a vertex at the point (h,k), then the function can be written as:

y=a(x-h)^2+k

Where a is the leading coefficient.

We are given the following function:

y =-2x^2-4x+7

To find the vertex, we need to complete squares. First, factor -2 on the first two terms:

y =-2(x^2+2x)+7

The expression in parentheses must be completed to represent the square of a binomial. Adding 1 and subtracting 1:

y =-2(x^2+2x+1- 1)+7

Taking out the -1:

y =-2(x^2+2x+1)+2+7

Factoring the trinomial and operating:

y =-2(x+1)^2+9

Comparing with the vertex form we have

Vertex (-1,9)

Leading coefficient: -2

Since the leading coefficient is negative, the function has a maximum value at its vertex, i.e.

Maximum: (-1,9)

3 0
2 years ago
Please help really I need it thank you :)
tamaranim1 [39]

Answer:

44, 6, and 24 are not perfect square

Step-by-step explanation:

Perfect square are numbers that can be square rooted with a result of a perfect whole number.

√16=4

√44= 6.63324...

√81= 9

√6= 2.44948...

√49= 7

√24= 4.898997...

6 0
2 years ago
The scale size is 2cm:4m
MaRussiya [10]
I'm not sure which one is the scale size so i'll solve for both...

Ratio is 2cm:4m
0.02m:4m or 2cm:400cm also work as ratios

400cm/2cm=200 (so the scale is 200X smaller than the original)

Option 1::

If the scale of the item is:

l=12cm and w=6cm

then we can solve for the actual size by multiplying the values by 200

l=12cm*200=2400cm or 24m

w=6cm*200=1200cm or 12m

Option 2::

If the original item has a length of 12m and a width of 6m then:

l=12m and w=6m

We can find the scale length by dividing by 200

l=12m/200=.06m or 6cm

w=6m/200=0.03m or 3cm
6 0
3 years ago
Read 2 more answers
1. 9 <br> 2. 6 <br> 3. 3<br> 4. 81<br> Help plz giving out brianlest and god bless you
Karo-lina-s [1.5K]
4) 81 is the correct ans
5 0
3 years ago
Read 2 more answers
Use your knowledge of the process of "Writing an equation given two points" to solve the following problem: A vendor has learned
nydimaria [60]

Answer: Our required linear equation would be x+48y=148

Step-by-step explanation:

Since we have given that

Cost of deep fried bananas on a stick = $1.00

Number of sales reached = 100 per day

Cost of deep fried bananas on a stick becomes = $2.00

Number of sales reached = 52 per day.

Let x is the number of dollars each.

Let y be the number of vendors sale.

So, we need to form the linear equation:

As we know the formula for two point slope form:

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-1=\dfrac{2-1}{52-100}(x-100)\\\\y-1=\dfrac{1}{-48}(x-100)\\\\-48(y-1)=(x-100)\\\\-48y+48=x-100\\\\-48y=x-100-48\\\\-48y=x-148\\\\x+48y=148

Hence, our required linear equation would be x+48y=148

3 0
3 years ago
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