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3 years ago

What is the volume of this figureThanks a lot! :)

Mathematics

2 answers:

AlexFokin [52]3 years ago

7 0

Answer- 1,200
Explanation- the formula of volume is length x width x height. So you just multiply those three numbers. Hope this helped!

worty [1.4K]3 years ago

7 0

Answer:

2040 in.²

Step-by-step explanation:

You would divide the figure into two rectangular prisms and solve separately.

So,

5*20*12=1200

5*14*12=840

1200+840=2040

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A small class has 10 students, 6 of whom are girls and 4 of whom are boys. The teacher is going to choose two of the students at

Alborosie

Answer:

4 percent

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is 2logx−logy+2logz written as a single logarithm? log(xz)^2/y log2x/2yz logx^2y/z^2 logx^2/yz^2

Klio2033 [76]

Answer: $\log\dfrac{x^2z^2}{y}$

Step-by-step explanation:

Properties of logarithm:

$(i)\ \ n\log a = a^n\\\\ (ii)\ \ \log m +\log n =\log (mn)\\\\ (iii)\ \ \log m-\log n =\log\dfrac{m}{n}$

Consider,

$2\log x-\log y+2 \log z\\\\ =\log x^2-\log y+\log z^2\ \ \ \ \text{[By (i)]}\\\\= \log x^2+\log z^2-\log y\\\\=\log(x^2z^2)-\log y\ \ \ \ [\text{By } (ii) ]\\\\=\log(\dfrac{x^2z^2}{y}) \ \ \ \ [\text{By (iii)}]$

3 0

3 years ago

30 points!!<br> What is the sum of the first six terms of the series?<br> 48 - 12 + 3 - 0.75 +...

Lunna [17]

Answer:

The sum of the first six terms is 38.39

Step-by-step explanation:

This is a geometric sequence since the common difference between each term is $-\frac{1}{4}$

Thus, $r=-\frac{1}{4}$

To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.

To find the fifth term:

The general form of geometric sequence is $a_{n}=a_{1} \cdot r^{n-1}$

To find the fifth term, substitute $n=5$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{5} &=(48) \cdot\left(-\frac{1}{4}\right)^{5-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{4} \\&=(48)\left(\frac{1}{256}\right) \\a_{5} &=0.1875\end{aligned}$

To find the sixth term, substitute $n=6$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{6} &=(48) \cdot\left(-\frac{1}{4}\right)^{6-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{5} \\&=(48)\left(-\frac{1}{1024}\right) \\a_{5} &=-0.046875\end{aligned}$

To find the sum of the first six terms:

The general formula to find Sn for $|r|$ is $S_{n}=\frac{a\left(1-r^{n}\right)}{1-r}$

$\begin{aligned}S_{6} &=\frac{48\left(1-\left(-\frac{1}{4}\right)^{6}\right)}{1-\left(-\frac{1}{4}\right)} \\&=\frac{48\left(1-\frac{1}{4096}\right)}{1+\frac{1}{4096}} \\&=\frac{48(0.95)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{47.9904}{5} \\&=38.39\end{aligned}$

Thus, the sum of first six terms is 38.39

5 0

3 years ago

In triangle QRS the measurement of an angle RSQ is 29.1 and the measure of angle QRS is 70 degrees what is the measurement of sq

Katen [24]

Answer: The measure of ∠SQR= 80.9°

Step-by-step explanation:

Given: In triangle QRS,

∠ RSQ = 29.1° and ∠QRS=70°

To find: ∠SQR

Angles sum property of triangle = Sum of all the angles in a triangle is 180°.

For Δ QRS,

∠SQR + ∠ RSQ +∠QRS = 180°

⇒ ∠SQR + 29.1° + 70° = 180°

⇒ ∠SQR + 99.1° = 180°

⇒ ∠SQR= 180°-99.1

⇒ ∠SQR= 80.9°

Hence, the measure of ∠SQR= 80.9°

4 0

2 years ago

If f(x) = x/2 +8, what is f(x) when x=10?

yanalaym [24]

X=13 . hope this helps you out

4 0

3 years ago