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almond37 [142]
3 years ago
6

Can anyone help me with this problem

Mathematics
1 answer:
8_murik_8 [283]3 years ago
6 0
They way I would do it other than with a calculator would be
27 x (90 - 0.5) which is the same as 27 x 89.5
=> 27 x 90 - 27 x 0.5
27 x 90 is (3 x 9) x 90 or 3 x 9 x 90
9 x 90 = 810
3 x 810 = 2430
Then subtract 27 x 0.5, or 27 / 2
2430 - 27 / 2
=> 2430 - 13.5
= 2416.5

Final answer:
2416.5
Hope I helped :)
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The point of a square pyramid is cut off, making each lateral face of the pyramid a trapezoid with the dimensions shown.
omeli [17]

Answer:

The area of one trapezoidal face of the figure is 2 square inches

Step-by-step explanation:

<u><em>The complete question is</em></u>

The point of a square pyramid is cut off, making each lateral face of the pyramid a trapezoid with the dimensions shown. What is the area of one trapezoidal face of the figure?

we know that

The area of a trapezoid is given by the formula

A=\frac{1}{2}(b_1+b_2)h

where

b_1 and b-2 are the parallel sides

h is the height of the trapezoid (perpendicular distance between the parallel sides)

we have

h=1\ in\\b_1=1\ in\\b_2=3\ in

substitute the given values in the formula

A=\frac{1}{2}(1+3)(1)

A=2\ in^2

8 0
3 years ago
Read 2 more answers
What is the value of (-12-6).-3.5?
Nastasia [14]

Answer:

-21.5

Step-by-step explanation:

-12-6=-18 minus 3.5=-21.5

8 0
3 years ago
Cathryn was making a pie. she used 3⁄2 pints of blackberries and 7⁄3 pints of blueberries. how many more blueberries than blackb
Bas_tet [7]
3/2 = 9/6 blackberries, then 7/3 = 14/6 blueberries. 14-9=5, and so then 5/6 pints of blueberries was used more than blackberries.

the answer is 5/6!    :  )
7 0
3 years ago
An investor invests $2,500 into a mutual fund and earns 5.75% on the principle for each of three years. How much interest has ac
HACTEHA [7]

Answer:

Interest in 3 years = $456.52

Step-by-step explanation:

As we know the the formula of compound interest

Total amount =  A(1+\frac{r}{n})^{nt}

Here n = number of times amount is compounded

r = rate of interest

t = period

Here A = $2500

r = 0.0575

n = 1 (compounded annually)

t = 3 years

Therefore amount after 3 years

P=2500(1+\frac{.0575}{1})^{3}

P =2500(1.0575)³

  = 2500×1.18

  = $2956.52

We have to calculate the interest then

Interest = $2956.52-$2500 = $456.52

So after 3 years interest gained = $456.52

8 0
3 years ago
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Find the Total surface area of a cone if it's slant height is 21m and diameter of it's base is 24m.
kherson [118]
<h3><u>Answer :- </u></h3>

  • The total surfAce area of cone is <u>1244.57m².</u>

<h3><u>Step-by-step</u><u> </u><u>explanation</u><u> </u><u>:</u><u>-</u><u> </u></h3>

<u>To </u><u>find </u><u>:</u><u>-</u><u> </u>

  • The total surface area of cone..

<h3><u>Solution :- </u></h3>

Given that ,

  • The slant height of the cone = 21m.
  • Diameter of it's base = 24m.

<h3><u>♦</u><u> </u><u>Radius is </u></h3>

<u>=</u>> Diameter / 2

=> 24 / 2

=> 12m

<h3>As we know that , </h3>

<u>Total surface area of cone = πr ( r + L ) .</u>

<h3><u>Where</u><u> </u><u>we </u><u>know</u><u>,</u></h3>

  • π = 22/7
  • r = Radius ( radii )..
  • L = Slant height.

<h3>According to the question :- </h3>

The total surface of cone is,

<u>=> Total surface area = πr { r + L } ..</u>

=  \frac{22}{7}  \times 12 \times (12 + 21)

=  \frac{22}{7}  \times 12 \times 33

= (22 \times 12 \times 33) \div 7

= (726 \times 12) \div 7

= 8712 \div 7

= 1244.57 {m}^{2}

• Therefore , The total surface area of cone is <u>1244.57m².</u>

Hope this helps you :)

8 0
2 years ago
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