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2 years ago

Area of composite figures worksheet. How do you solve it. Step-By-Step

Mathematics

1 answer:

statuscvo [17]2 years ago

5 0

Answer:

232m²

Step-by-step explanation:

formula

1/2{(lower side+upper side)height}

1/2{(18+11)×16}

1/2{29×16}

29×8

232

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I need help please!!! My teacher doesn't teacher and she has asked us to do a problem I don't know how to do it. Can somebody ex

ra1l [238]

Using exponential functions, it is found that:

a) Since the amount of caffeine will be less than 50 mg, the patient will be ready for the blood test by 6 a.m.

b) The patient could have ingest 231 milligrams of caffeine.

A decaying exponential function is modeled by:

$A(t) = A(0)(1 - r)^t$

In which:

A(0) is the initial value.
r is the decay rate, as a decimal.

In this problem:

Caffeine metabolize at a rate of 13% per hour, hence $r = 0.13$ .

Then:

$A(t) = A(0)(1 - r)^t$

$A(t) = A(0)(1 - 0.13)^t$

$A(t) = A(0)(0.87)^t$

Item a:

The coffee cup contains 150 milligrams of caffeine, hence $A(0) = 150$ .

At 6 a.m., it is 8 hours after drinking the coffee, hence we have to find A(8).

$A(t) = A(0)(0.87)^t$

$A(8) = 150(0.87)^8$

$A(8) = 49.2$

Since the amount of caffeine will be less than 50 mg, the patient will be ready for the blood test by 6 a.m.

Item b:

This A(0), considering A(11) = 50, hence:

$50 = A(0)(0.87)^{11}$

$A(0) = \frac{50}{(0.87)^{11}}$

$A(0) = 231$

The patient could have ingest 231 milligrams of caffeine.

A similar problem is given at brainly.com/question/25537936

3 0

2 years ago

Find m angle T, rounded to the nearest degree

Butoxors [25]

Answer: First option.

Step-by-step explanation:

You can use the inverse tangent function to find the value of the angle T:

$\alpha=arctan(\frac{opposite}{adjacent})$

You can identify in the figure that:

$\alpha=T\\opposite=RG=8\\adjacent=TR=15$

Then, knowing these values, you can substitute them into $\alpha=arctan(\frac{opposite}{adjacent})$ .

Therefore, you get that the value of the angle T rounded to the nearest degree is:

$T=arctan(\frac{8}{15})\\\\T=28\°$

This matches with the first option.

6 0

3 years ago

Can someone help me with the question please

alexandr1967 [171]

Answer:

Purple line: 4

Red dashed line: 2

Blue line: 1/2

Step-by-step explanation:

The purple line is the steepest line, therefore it has the biggest constant of proportionality or slope. Since 4 is the biggest number among the others, we attribute it to the purple line (the one with the point C on it).

Think of it this way:

$y = ax+b \\$

here $b = 0$ so $y = ax$

The greater a is, the greater y is. So for any value of x, y will be become bigger and bigger if we increase the value of a.

Take for example this one:

$y = 2x \\$

Take $x=2\\$ therefore $y =4$

Now take $y = 4x$ and take $x =2$ therefore $y = 8$

When we increased this constant of proportionality, as you can see from 2 to 4, the value of y increase from 4 to 8.

Hope this is helpful. Think of it really carefully, and I'm sure you'll grasp the concept.

7 0

3 years ago

Please help me with math

never [62]

D is most likely the answer.

Hope this Helped!

;D
Brainliest??

6 0

3 years ago

Why do you need distributive property

dedylja [7]

Because we have to evaluate was in the parenthesis and then solve it, then we need to remember to multiply first before going to the addition

6 0

3 years ago

Area of composite figures worksheet. How do you solve it. Step-By-Step​

Area of composite figures worksheet. How do you solve it. Step-By-Step