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2 years ago

Mark correctly drew a heptagon on the board. How many interior angles does Mark's heptagon have?

Mathematics

1 answer:

olchik [2.2K]2 years ago

7 0

There are 7 interior angles

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Last time, one out of every 4 students in our class was absent. This time, after Jen came back, only one out of every 5 students

VMariaS [17]

Answer: There are 20 students and 4 students are not here today.

Step-by-step explanation:

If the number of students = 4

Let the number of students be 'x'.

Fraction of students absent = $\dfrac{x}{4}$

If the number of students = 5

Fraction of students absent = $\dfrac{x}{5}$

And Jen came back,

So, the fraction of student absent is also written as

$\dfrac{x}{4}-1$

According to question, it becomes,

$\dfrac{x}{5}=\dfrac{x}{4}-1\\\\\dfrac{x}{5}=\dfrac{x-4}{4}\\\\4x=5(x-4)\\\\4x=5x-20\\\\4x-5x=-20\\\\-x=-20\\\\x=20$

Hence, there are 20 students in our school.

And number of students are not here today is $\dfrac{20}{5}=4$

3 0

2 years ago

F(x)=9x^2 <br><br> g(x)= sqrt 12-x/3<br><br> (f o g)(-4)

Slav-nsk [51]

$f(x)=9x^2 \\ g(x)=\frac{\sqrt{12-x}}{3} \\$ So,first step is to write $(fog)(-4)) =f[g(-4)] \\$

Now we start from inner paranthesis ,we need to first find value of $g(-4) =\frac{\sqrt{12-(-4)}}{3}\\ =\frac{\sqrt{12+4}}{3}\\
=\frac{\sqrt{16}}{3}\\
=\frac{4}{3}\\
(fog)(-4)) =f[g(-4)] =f(\frac{4}{3}) =9(4/3)^{2} =9*(16/9) =144/9 =16$

8 0

3 years ago

Thx in advance for the help

lubasha [3.4K]

Answer: $x\geq 13$

Step-by-step explanation:

Given

The inequality is $2x-7\geq 19$

adding both side 7

$2x-7+7\geq 19+7\\2x\geq 26$

Multiply both sides by $\frac{1}{2}$

$\dfrac{1}{2}\times 2x\geq 26\times \dfrac{1}{2}\\\\x\geq 13$

the shaded region in the figure indicates the solution set.

6 0

2 years ago

Please help anyone if you can help thanks

-BARSIC- [3]

Answer:

t=5/10n

Step-by-step explanation:

The question wants to know how much time it takes to run one lap, not how many laps can be run in a certain amount of time.

7 0

2 years ago

(PLEASE HELP, BRAINLIEST IF CORRECT) A jar is filled with quarters and nickels in the ratio 1 2/5 to 2 1/3. If there are 24 quar

MissTica

Answer:

40 nickels

Step-by-step explanation:

1 2/5 to 2 1/3 = 7/5 : 7/3

= 21/15 : 35/15

21/15 = 24

35/15 = x

(35/15 * 24) / 21/15

∴ 56 ÷ 21/15

= 40 nickels

3 0

1 year ago

Read 2 more answers