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3 years ago

The figure is made up of 2 cones and a cylinder. The cones and cylinder have a 4 cm diameter.

Mathematics

1 answer:

Nina [5.8K]3 years ago

4 0

20 cm is the answer good luck

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David's gasoline station offers 4 cents off per gallon if the customer pays in cash and does not use a credit card. Past evidenc

shusha [124]

Answer:

0.6535

Step-by-step explanation:

Given that during a one-hour period twenty-five customers buy gasoline at this station.

Let X be the no of persons out of these 25 who pay by cash.

X has two outcomes and each trial is independent of other.

Hence X is binomial (n=25, p=0.40)

Required probability

= $P(X\geq 10)\\=P(10)+P(11)+...+P(25)\\=\Sigma_{10}^{25} 25Cr (0.4)^r (1-0.4)^{25-r}$

=0.6535

7 0

3 years ago

In a parallelogram ABCD point K belongs to diagonal BD so that BK:DK=1:4. If the extension of AK meets BC at point E, what is th

olya-2409 [2.1K]

Answer:

$\frac{BE}{EC} =\frac{1}{3}$

Step-by-step explanation:

In the diagram below we have

ABCD is a parallelogram. K is the point on diagonal BD, such that

$\frac{BK}{CK} =\frac{1}{4}$

And AK meets BC at E

now in Δ AKD and Δ BKE

∠AKD =∠BKE ( vertically opposite angles are equal)

since BC ║ AD and BD is transversal

∠ADK = ∠KBE ( alternate interior angles are equal )

By angle angle (AA) similarity theorem

Δ ADK and Δ EBK are similar

so we have

$\frac{AD}{BE} =\frac{DK}{BK}$

$\frac{AD}{BE} =\frac{4}{1}$

$\frac{BC}{BE}=\frac{4}{1}$ ( ABCD is parallelogram so AD=BC)

$\frac{BE+EC}{BE}=\frac{4}{1}$ ( BC= BE+EC)

$\frac{BE}{BE} +\frac{EC}{BE}=\frac{4}{1}$

$1+\frac{EC}{BE}=4$

$\frac{EC}{BE}=3$ ( subtracting 1 from both side )

$\frac{EC}{BE}=\frac{3}{1}$

taking reciprocal both side

$\frac{BE}{EC} =\frac{1}{3}$

8 0

3 years ago

6 soccer balls for $150

eduard

the cost of one soccer ball is 150/6 or 25 dollars.

4 0

2 years ago

Read 2 more answers

A company spent 32% of its annual budget developing a new machine. What fraction of the company's budget was spent developing th

Talja [164]

Answer:

A percentage by definition means out of a hundred.

Anything out of a percent is anything out of a hundred.

In this case it’s 32 percent.

It’s just 32/100

When simplified you’d get 8/25

6 0

2 years ago

The number of bacteria (b) in a batch of refrigerated food is given by the function b(t) = 20t2 − 70t + 300, where t is the temp

Setler79 [48]

If the number of bacteria $b(t)$ is a function only of temperature $t$ , and the temperature $t(h)$ is a function only of time in hours $h$ , then

$b(t(h))=b(2h+3)=20(2h+3)^4-70(2h+3)+300$
$b(t(h))=320h^4+1920h^3+4320h^2+4180h+1710$

4 0

3 years ago