All categories

2 years ago

Find the area of the trapezoid

Mathematics

1 answer:

Shalnov [3]2 years ago

7 0

Answer: 8

Step-by-step explanation: so we can count the middle four, then the sides are basically two triangles that are the same, so we put them together and you get 4 more, so 4 plus 4 is 8

You might be interested in

Draw a set of objects where you can find a fractional part of the group using the total number of objects and by using subgroups

skad [1K]

The answer is attached

Download docx

8 0

3 years ago

A roast turkey is taken from an oven when its temperature has reached 185 degrees F and is placed on a table in a room where the

Vedmedyk [2.9K]

(a) Using Newton's Law of Cooling, $\dfrac{dT}{dt} = k(T - T_s)$ , we have $\dfrac{dT}{dt} = k(T - 75)$ where T is temperature after T minutes.
Separate by dividing both sides by T - 75 to get $\dfrac{dT}{T - 75} = k dt$ . Integrate both sides to get $\ln|T - 75| = kt + C$ .

Since $T(0) = 185$ , we solve for C:
$|185 - 75| = k(0) + C\ \Rightarrow\ C = \ln 110$
So we get $\ln|T - 75| = kt + \ln 110$ . Use T(30) = 150 to solve for k:
$\ln| 150 - 75 | = 30k + \ln 110\ \Rightarrow\ \ln 75 - \ln 110= 30k \Rightarrow \\ k= \frac{1}{30}\ln (75/110) = \frac{1}{30}\ln(15/22)$

So

$\ln|T - 75| = kt + \ln 110 \Rightarrow |T - 75| = e^{kt + \ln110} \Rightarrow \\ \\
|T - 75| = 110e^{kt} \Rightarrow T - 75 = \pm110e^{(1/30)\ln(15/22)t} \Rightarrow \\
T = 75 \pm110e^{(1/30)\ln(15/22)t}$

But choose Positive because T > 75. Temp of turkey can't go under.

$T(t) = 75 + 110e^{(1/30)\ln(15/22)t} \\
T(45) = 75 + 110e^{(1/30)\ln(15/22)(45)} = 136.929 \approx 137{}^{\circ}F$

(b)

$T(t) = 75 + 110e^{(1/30)\ln(15/22)t} = 75 + 110(15/22)^{t/30} \\
100 = 75 + 110(15/22)^{t/30} \\
25 = 110(15/22)^{t/30} 
\frac{25}{110} = (15/22)^{t/30} \\
\ln(25/110) / ln(15/22) = t/30 \\
t = 30\ln(25/110) / ln(15/22) \approx 116\ \mathrm{min}$

Dogs of the AMS.

4 0

3 years ago

Which of the following statements must be true about this diagram

serg [7]

A B D and F must be true

7 0

2 years ago

Read 2 more answers

The heights of 500 students at a local school were recorded and found to be approximated by the normal curve below. Which

Sunny_sXe [5.5K]

Answer:

option C.

Step-by-step explanation:

The given graph is the bell shaped graph.

From the graph we can observe that the peak is at 69.

So, the mean of the data is = 69 .

Standard deviation is the deviation of the graph from the mean value.

= 72-69 = 3

Hence, the standard deviation is equal to 3.

So, the correct answer is option C.

5 0

2 years ago

a discounted concert ticket costs $14.50 less than the original price p.You pay $53 for a discounted ticket.Write an equation th

Ahat [919]

Answer:

$53.00 + $14.50

= 67.50

Make sure to leave a good review if it helped you

-Adan

7 0

3 years ago