All categories

3 years ago

Which solid figures have their volumes calculated using the formula V = 1 Bh, where B is the area of the base and h

Mathematics

2 answers:

Sidana [21]3 years ago

6 0

Answer: right cone and hexagonal pyramid

Step-by-step explanation: just did it on edugenity

maw [93]3 years ago

5 0

Answer:

right cone and hexagonal pyramid.

Step-by-step explanation:

You might be interested in

Solve the following compound inequality.<br><br> 5x+7<=-3 or 3x-4>=11

Kobotan [32]

Answer:

$x\leq -2$ or $x\geq 5$

Step-by-step explanation:

$5x+7\leq -3$ or $3x-4\geq 11\\$

$5x+7\leq -3\\5x\leq -10\\x\leq -2$

$3x-4\geq 11\\3x\geq 15\\ x\geq 5$

4 0

3 years ago

Please help! giving brainliest.

Advocard [28]

Answer:

99.225

Step-by-step explanation:

10×3.15 is 31.5

31.5 squared is 99.225

Hope this helps!

7 0

3 years ago

Read 2 more answers

Solve the following equations: (a) x^11=13 mod 35 (b) x^5=3 mod 64

tino4ka555 [31]

$x^{11}=13\pmod{35}\implies\begin{cases}x^{11}\equiv13\equiv3\pmod5\\x^{11}\equiv13\equiv6\pmod7\end{cases}$

By Fermat's little theorem, we have

$x^{11}\equiv (x^5)^2x\equiv x^3\equiv3\pmod5$

$x^{11}\equiv x^7x^4\equiv x^5\equiv6\pmod 7$

5 and 7 are both prime, so $\varphi(5)=4$ and $\varphi(7)=6$ . By Euler's theorem, we get

$x^4\equiv1\pmod5\implies x\equiv3^{-1}\equiv2\pmod5$

$x^6\equiv1\pmod7\impleis x\equiv6^{-1}\equiv6\pmod7$

Now we can use the Chinese remainder theorem to solve for $x$ . Start with

$x=2\cdot7+5\cdot6$

Taken mod 5, the second term vanishes and $14\equiv4\pmod5$ . Multiply by the inverse of 4 mod 5 (4), then by 2.

$x=2\cdot7\cdot4\cdot2+5\cdot6$

Taken mod 7, the first term vanishes and $30\equiv2\pmod7$ . Multiply by the inverse of 2 mod 7 (4), then by 6.

$x=2\cdot7\cdot4\cdot2+5\cdot6\cdot4\cdot6$

$\implies x\equiv832\pmod{5\cdot7}\implies\boxed{x\equiv27\pmod{35}}$

$x^5\equiv3\pmod{64}$

We have $\varphi(64)=32$ , so by Euler's theorem,

$x^{32}\equiv1\pmod{64}$

Now, raising both sides of the original congruence to the power of 6 gives

$x^{30}\equiv3^6\equiv729\equiv25\pmod{64}$

Then multiplying both sides by $x^2$ gives

$x^{32}\equiv25x^2\equiv1\pmod{64}$

so that $x^2$ is the inverse of 25 mod 64. To find this inverse, solve for $y$ in $25y\equiv1\pmod{64}$ . Using the Euclidean algorithm, we have

64 = 2*25 + 14

25 = 1*14 + 11

14 = 1*11 + 3

11 = 3*3 + 2

3 = 1*2 + 1

=> 1 = 9*64 - 23*25

so that $(-23)\cdot25\equiv1\pmod{64}\implies y=25^{-1}\equiv-23\equiv41\pmod{64}$ .

So we know

$25x^2\equiv1\pmod{64}\implies x^2\equiv41\pmod{64}$

Squaring both sides of this gives

$x^4\equiv1681\equiv17\pmod{64}$

and multiplying both sides by $x$ tells us

$x^5\equiv17x\equiv3\pmod{64}$

Use the Euclidean algorithm to solve for $x$ .

64 = 3*17 + 13

17 = 1*13 + 4

13 = 3*4 + 1

=> 1 = 4*64 - 15*17

so that $(-15)\cdot17\equiv1\pmod{64}\implies17^{-1}\equiv-15\equiv49\pmod{64}$ , and so $x\equiv147\pmod{64}\implies\boxed{x\equiv19\pmod{64}}$

5 0

3 years ago

An architect built a scale model of a sports stadium using a scale in which 2 inches represents 30 feet. The height of the sport

bija089 [108]

The height of the model in inches would be 6. if you multiply 30 until it reaches 180 you will have 6.

7 0

3 years ago

What is the equation of the line that passes through the point (-5,2) and has a slope of 4/5

dedylja [7]

Answer:

4x - 5y + 30 = 0

Step-by-step explanation:

When a slope of a line and a point passing through it is given then we use slope - one point form to determine the equation of the line.

It is given by:

$(y - y_1) = m (x - x_1)$

where $m$ is the slope of the line and

$(x_1, y_1)$ is the point passing through it.

Here $m = \frac{4}{5}$ and $(x_1 , y_1) = (-5,2)$ .

Substituting in the equation we get

$(y - 2) = \frac{4}{5} (x + 5)$

$\implies 5y - 10 = 4x + 20$

$\implies 4x - 5y + 30 = 0$

5 0

3 years ago