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NeX [460]
3 years ago
9

What is the surface area of the square pyramid? (Figure is not drawn to scale.)

Mathematics
1 answer:
Reil [10]3 years ago
6 0
Area of the base = 8^2 = 64

area of 1 traingle = 1/2 * 8 * 5.4 =  21.6

there are 4 triangular sides  so their area = 4 * 21.6  = 86.4

Total surface area = 64 + 86.4 =  150.4 cm2

D
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Solve by using proper methods.
oksano4ka [1.4K]

Answer:

Approximately after 66.15 years, there will be 100 coyotes left

Step-by-step explanation:

We can use the formula  F=P(1+r)^t to solve this.

Where

F is the future amount (F=100 coyotes)

P is the initial amount (P=750 coyotes)

r is the rate of decrease per year (which is -3% per year or -0.03)

t is the time in years (which we need to find)

Putting all the information into the formula we solve.

<u>Note:</u> The logarithm formula we  will use over here is  ln(a^b)=bln(a)

So, we have:

F=P(1+r)^t\\100=750(1-0.03)^t\\100=750(0.97)^t\\\frac{100}{750}=0.97^t\\\frac{2}{15}=0.97^t\\ln(\frac{2}{15})=ln(0.97^t)\\ln(\frac{2}{15})=tln(0.97)\\t=\frac{ln(\frac{2}{15})}{ln(0.97)}\\t=66.15

Hence, after approximately 66.15 years, there will be 100 coyotes left.

Rounding, we will have 66 years

4 0
3 years ago
An atom of a certain element has 37 protons, 37 electrons, and a mass number of 85. How many neutrons are
Harrizon [31]

Answer:

There will be 48 neutrons.

Step-by-step explanation:

Hope this helps and have a great day :)

5 0
2 years ago
Help me with this... ​
marin [14]

i. 171

ii. 162

iii. 297

Solution,

n(U)= 630

n(I)= 333

n(T)= 168

i. Let n(I intersection T ) be X

333 - x + x + 468 - x = 630 \\ or \: 333 + 468 - x = 630 \\ or \: 801 - x = 630 \\ or \:  - x = 630 - 801 \\ or \:  - x =  - 171 \\ x = 171

<h3>ii.n(only I)= n(I) - n(I intersection T)</h3><h3> = 333 - 171</h3><h3> = 162</h3>

<h3>iii. n ( only T)= n( T) - n( I intersection T)</h3><h3> = 468 - 171</h3><h3> = 297</h3>

<h3>Venn- diagram is shown in the attached picture.</h3>

Hope this helps...

Good luck on your assignment...

4 0
3 years ago
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.Josiah has punch c
love history [14]

Let x be the number of weeks; therefore, the two linear equations are

\begin{gathered} T=2+7x \\ \text{and} \\ C=11+4x \end{gathered}

Where T stands for the punches on the tea punch card and C for the punches on the coffee punch card.

Solving by substitution. Set T=C, then

\begin{gathered} T=C \\ \Rightarrow2+7x=11+4x \\ \Rightarrow3x=9 \\ \Rightarrow x=\frac{9}{3}=3 \\ \Rightarrow x=3 \end{gathered}

Thus, substitute the value of x=3 into the first equation,

\begin{gathered} x=3 \\ \Rightarrow T=2+7\cdot3=23 \\ \Rightarrow T=23 \end{gathered}

Thus, after 3 weeks, Josiah will have the same number of punches on each card, and he will have 23 punches on each card.

6 0
1 year ago
For the second quarter of 2015, Apple sold 61.0 million iPhones. This represented a year- over-year increase of 40%. What were t
Anastaziya [24]

Answer:

It sold 43.57 iPhones for the same quarter in the previous year.

Step-by-step explanation:

It sold 61.0 million iPhone, which is an increase of 40% over the value of the previous year x.

This can be interpreted as:

61 million is 140% = 1.4 of the previous year amount, that is, x. So

1.4x = 61

x = \frac{61}{1.4}

x = 43.57

It sold 43.57 iPhones for the same quarter in the previous year.

4 0
3 years ago
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