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2 years ago

Which pyramid has a greater volume and how much greater is its volume?

Mathematics

1 answer:

Keith_Richards [23]2 years ago

4 0

Answer:

Step-by-step explanation:

I did the test and got it correct please mark brainliest. I know it is correct.

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Use the Venn diagram to calculate probabilities. Circles A and B overlap. Circle A contains 15, circle B contains 10, and the in

grin007 [14]

Answer:

$(B) P(B)=\dfrac{16}{31}$

Step-by-step explanation:

From the Venn diagram, n(AUB)=31

The given probabilities in the option are calculated below:

$P(A)=\dfrac{21}{31}\\\\P(B)=\dfrac{16}{31}\\\\P(A|B)=\dfrac{P(A\cap B)}{P(B)}= \dfrac{6/31}{16/31} =\dfrac{6}{16}=\dfrac{3}{8} \\\\P(B|A)=\dfrac{P(B\cap A)}{P(A)}= \dfrac{6/31}{21/31} =\dfrac{6}{21}=\dfrac{3}{7}$

The only correct option is the probability of B which is $\frac{16}{31}$

8 0

3 years ago

In this truss bridge, AAOB ABDC. AO=5 meters, BD=10 meters, AB=5 meters. What is the length of BC? A. 5 m B. 8 m C. 10 m D. 15 m

Olenka [21]

Consider $\Delta AOB\cong \Delta BDC$ .

Given:

$\Delta AOB\cong \Delta BDC, AO=5\ m,BD=10\ m, AB=5\ m.$

To find:

The length of BC.

Solution:

We have,

$\Delta AOB\cong \Delta BDC$

We know that the corresponding parts of congruent triangles are congruent (CPCTC).

$AB=BC$ (CPCTC)

$5\ m=BC$

The length of BC is 5 m. Therefore, the correct option is A.

5 0

2 years ago

Click on the graphic to select the figure that would make the following "a reflection in line k.

Reil [10]

there seem to be pictures missing. can you reload the page without losing progress?

5 0

2 years ago

A candle maker has rectangular block of paraffin that is 4 centimeter high by 8 centimeter long by 6 centimeter wide. He melts i

Veronika [31]

Answer:

The candle will not use all the paraffin from the original block.

Step-by-step explanation:

The cone-shaped candle is 5 cm wide at the base i.e. the diameter of the base is 5 cm i.e. radius is 2.5 cm.

If the height of the cone is 25 cm, then total volume of the cone shaped candle is

$\frac{1}{3}\pi r^{2} h$

= $\frac{22 \times 2.5^{2} \times 25 }{3 \times 7}$

= 163.69 cubic cm.

Again, the volumes of the rectangular block of paraffin is (4 × 8 × 6) = 192 cubic cm.

Since, 192 > 163.69

Therefore, the candle will not use all the paraffin from the original block.

5 0

3 years ago

A player kicks a soccer ball from a height of 2 feet. The ball reaches A maximum height of 20 feet after traveling 40 feet horiz

Artyom0805 [142]

The height is 9.875 feet from which the goalkeeper catches the ball.

The player kicks soccer from a height of 2 feet

x = 0 and y = 2

Maximum height of 20 feet after traveling 40 feet

x = 40, y = 20

So let y = a(x - 40)² + 20 ( the path of parabola)

Since x = 0 , y = 2

So, 2 = a(0 - 40)² + 20

2 = 1600a + 20

-18 = 1600a

a = - 9/800

Thus, y = -9/800(x - 40)² + 20

Since the soccer is caught by the goalkeeper 70 feet from where it was kicked

x = 70

So at this time,

y = -9/800 ( 70 - 40)² + 20

= -9/800 × 900 + 20

= - 81/8 + 20

= 79/ 8

= 9.875 feet

Therefore the height at which the goalkeeper catches the ball is 9.875 feet.

To know more about the height refer to the link given below:

brainly.com/question/27030273

#SPJ1

7 0

1 year ago