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3 years ago

What is the area of the trapezoid? 80m2 96m2 100m2 120 m2

Mathematics

1 answer:

never [62]3 years ago

5 0

Answer:

100m^2

Step-by-step explanation:

area of trapezoid formula: $({b_{1} +b_{2})}{1/2h}$

b=base

base #1= 8

base #2= 12

h(height)= 10

(8+12)=20(sum of bases)

20/2=10(sum of bases over 2)

10*10=100(height * whats remaining of bases)

100m^2

hope this helps

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Make x the subject of y=alog(5x)

Bond [772]

Answer:

x = 0.2(10^y/a).

Step-by-step explanation:

y = alog(5x)

y = log(5x)^a) By the definition of a log:

(5x)^a = 10^y

5x = (10^y) ^ 1/a

x = 0.2(10^y/a)

4 0

3 years ago

The equation of a circle is given below. x ^2 +(y-2.25)^2 =196/169. What is the center? What is the radius?

yuradex [85]

Answer:

center : (0, 2.25)

radius: 14/13

Step-by-step explanation:

x^2+(y-2.25)^2=196/169

Rewrite x^2+(y-2.25)^2=196/169

(x-0)^2+(y-2.25)^2=(14/13)^2

c=(0,2.25),r= (14/13)

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3 0

3 years ago

Which value is a solution to the inequality 2x − 5 < −12?

aleksandr82 [10.1K]

The correct answer would be -4

explanation:
2x-5<-12, add 5 to both sides so then you get 2x<-8, then divide by two, x<-4.

8 0

3 years ago

a scientist notes that the number of bacteria in a colony is 50.3, hours later she notes that the number of bacteria has increas

Yuri [45]

The time it would take for the bacteria to reach 1119 is 5.83 hours

<h3>Calculations and Parameters:</h3>

Given the function:

$Pt= P_0e^k^t$

Initial amount= 50
amount after 3 hours= 80

To find the exponential growth;

80 = $50e^k^*^3$

$k= 1.6/3\\k= 0.533$

If there is a constant growth, then to get to 1119:

1119= $50e^0^.^5^3^3^*t$

3.8 = 0.533*t

t= 5.83 hours

Therefore, it would take 5.83 hours for the bacteria to increase to 1119.

Read more about exponential growth here:

brainly.com/question/2456547

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6 0

2 years ago

Solve this problem using substitution

Sergeeva-Olga [200]

Solving for (x,y)
(x-y=8)
(x=y-8) & (y=x-8)

solving for (y,x)
(2y=2x-16)
(y=x-8)&(x=y+8)

6 0

3 years ago