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3 years ago

Find the remaining volume of the cube with the cone removed.

Mathematics

1 answer:

Elina [12.6K]3 years ago

7 0

Answer:
D
Step-by-Step explanation:

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A 22 km walk is completed in 5 hours and 30 min.<br> What is the average speed?

Ivenika [448]

Answer:

121 km\hr

Step-by-step explanation:

displacement=speed÷time

then. speed = displacement×time

= 22 × 5.5

= 121 km\hr

4 0

3 years ago

What is the value of X

alexdok [17]

Answer:

$x=12$

Step-by-step explanation:

We have been given a graph of similar triangles. We are asked to find the value of x.

Since we know that corresponding sides of similar triangles are always in same proportion, so we will use proportions to find the length of x.

$\frac{3}{x+3}=\frac{4}{16+4}$

$\frac{3}{x+3}=\frac{4}{20}$

Upon cross multiplying our equation we will get,

$4*(x+3)=3(20)$

Upon distributing 4 we will get,

$4x+12=60$

Let us subtract 12 from both sides of our equation.

$4x+12-12=60-12$

$4x=48$

Upon dividing both sides of our equation by 4 we will get,

$\frac{4x}{4}=\frac{48}{4}$

$x=12$

Therefore, the value of x will be 12.

4 0

3 years ago

Read 2 more answers

Factoring Special Cases (400 - 36x^2)

const2013 [10]

Factor out a GCF of 4, then you are left with perfect squares.
4(100-9x^2)
Factor what is left as a difference of perfect squares (the outside and inside terms from FOIL should cancel out which is why each parenthesis has a different sign
f(10+3x)(10-3x)

5 0

3 years ago

Our class has 50 students. Assuming that no students are born on leap days (February29), what is the probability that no two stu

madreJ [45]

Answer: a) $\dfrac{799}{31250}$ b) $\dfrac{30451}{31250}$

Step-by-step explanation:

Since we have given that

Number of days in a year = 365

Number of students = 50

Probability that no two students share the same birthday. It means each student has different birthday.

Probability(no two students share the same birthday) $=\dfrac{365-1}{365}\times \dfrac{365-2}{365}........\times \dfrac{365-50}{365}$

Probability(no two students share the same birthday) $=\dfrac{^{365}P_{50}}{365^{50}}$

Probability(no two students share the same birthday) $=\dfrac{799}{31250}\approx 0.025568$

Probability that at least one of the students has the same birthday as another student in the class is given by

$1-P(\text{no student share the same birthday})\\\\=1-\dfrac{799}{31250}\\\\=\dfrac{30451}{31250}=0.974432$

5 0

4 years ago

Which statements accurately describe the function f(x)=3(sqrt18)^x? Check all that apply.

vlada-n [284]

I would say the 4th one!

4 0

3 years ago