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Andrei [34K]
3 years ago
10

Find the area of the trapezoid.

Mathematics
1 answer:
anzhelika [568]3 years ago
5 0

Answer:

488 sq ft

Step-by-step explanation:

Alright, so:

The formula for the area of a trapezoid is as follows:

A=\frac{a+b}{2} h

In this case, a and b are the bases.

Insert the values into our equation and we have...

A = \frac{39+17}{2} (16)\\A = \frac{56}{2} (16)\\A = 488ft^{2}

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

<em>Have a nice day fam. Spread The Love!</em>

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Solve the simultaneous equation<br> 4x-y=9 <br> 2x-3y= -23
MrMuchimi

Answer:

x = 5

y = 11

Step-by-step explanation:

y = 4x - 9

2x -3(4x - 9) = -23

2x - 12x + 27 = -23

-10x = -23 -27

-10x = -50

minus cancels out

x = 5

y = 4(5) -9

y = 20 - 9

y = 11

4 0
2 years ago
What is the value of x when f(x)=8?<br><br> A. 1<br> B. 3<br> C. 0<br> D. 2
Natasha_Volkova [10]

Answer: 1

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
M/
satela [25.4K]
<h3>Answer:  C) 2.47 cm</h3>

=====================================================

Explanation:

We have 81 cm^3 of clay. Divide this among the 20 students and each gets 81/20 = 4.05 cm^3 of clay

--------------

The volume of a cone is

V = (1/3)*pi*r^2*h

Solving for h gets us

3V = pi*r^2*h

(3V)/(pi*r^2) = h

h = (3V)/(pi*r^2)

--------------

The diameter is 2.5 cm which cuts in half to 1.25 cm, so this is the radius.

We'll plug this radius in, along with V = 4.05 and pi = 3.14

h = (3V)/(pi*r^2)

h = (3*4.05)/(3.14*(1.25)^2)

h = 2.4764

This value is approximate. Rounding down to the nearest hundredth gets us 2.47

We round down because rounding up to 2.48 will lead to a volume larger than 4.05

7 0
3 years ago
A consumer charges a 2530.16 purchase on the credit card the card has a daily interest rate of .042% if the consumer piece of th
svp [43]

Answer:

$31.88

Step-by-step explanation:

Given

Consumer charges = 2530.16cents

Consumer charges in dollars = $25.3016

Interest rate per day = 0.042%

Interest gotten per day = 0.042×25.3016

Interest per day = $1.06266

Interest in 30 days = ,30×1.06266

Interest in 30 days = $31.88

3 0
3 years ago
2.
Gekata [30.6K]

Answer: the system has no solution.

Step-by-step explanation:

\displaystyle\\

\left \{ {{x^2y=16\ \ \ \ \ (1)} \atop {x^2+4y+16=0\ \ \ \ \ (2)}} \right. .\\

Multiply\  both\  sides\  of\  the\  equation\ (2)\   by\  y\  (y\neq 0):\\

x^2y+4y^2+16y=0\\

We\  substitute\  equation\  (1)\  into\  equation\  (2):\\

16+4y^2+16y=0\\

4y^2+16y+16=0\\

4*(y^2+4y+4)=0\\

4*(y^2+2*y*2+2^2)=0\\

4*(y+2)^2=0\\

Divide\  both\  sides\  of\  the \ equation\  by\  4:\\

(y+2)^2=0\\

(y+2)*(y+2)=0\\

So,\ y+2=0\\

y=-2.\\

\displaystyle\\We\  substitute\  the\  value\  of\  y\  into\  equation\  (1):\\x^2*(-2)=16\\Divide\  both\  sides\  of\  the \ equation\  by\  -2:\\x^2=-8\\x^2\geq 0\\ Hence,\ the\ system\ has\ no\ solution.

7 0
1 year ago
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