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3 years ago

What to do in the the following question

Mathematics

1 answer:

Anon25 [30]3 years ago

6 0

The answer would be SSA because you have line MC is congruent to line GE, then line EO is congruent to line CB, and then you have angle O is congruent to angle B

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A plane flying overhead at night is located by two

Gemiola [76]

Answer:

Step-by-step explanation:

Let the distance of two consecutive stones are x, x+1.

In ΔBCD, we have

tan60

⇒x=

.....(i)

In ΔABC, we have

tan30

x+1

⇒

x+1

⇒

+1=

h ......[from equation (i)]

⇒

⇒h=

solution

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3 years ago

BRIDGE CONSTRUCTION

goblinko [34]

Answer:

with these characteristics, place the

semi-ellipse on coordinate axes in a convenient position and draw it.

5. What is the equation of the ellipse? How wide will the canal need to be for the

Petroleum ship?

6. Now that you know which of the two alternatives provides the widest channel, consider other

factors. His department is also in charge of verifying the depth of the channel, the

amount of river traffic and other details. For example, if there was a flood in the river and

the water level will rise 10 feet, how would free space be affected? Take a decision

about which project you think would be best as far as your department is concerned and

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3 years ago

Two large and 1 small pumps can fill a swimming pool in 4 hours. One large and 3 small pumps can also fill the same swimming poo

kolezko [41]

Let x and y be the unit rates at which one large pump and one small pump works, respectively.

Two large/one small operate at a unit rate of

(1 pool)/(4 hours) = 0.25 pool/hour

so that

2x + y = 0.25

One large/three small operate at the same rate,

(1 pool)/(4 hours) = 0.25 pool/hour

x + 3y = 0.25

Solve for x and y. We have

y = 0.25 - 2x ==> x + 3 (0.25 - 2x) = 0.25

==> x + 0.75 - 6x = 0.25

==> 5x = 0.5

==> x = 0.1

==> y = 0.25 - 2 (0.1) = 0.25 - 0.2 = 0.05

In other words, one large pump alone can fill a 1/10 of a pool in one hour, while one small pump alone can fill 1/20 of a pool in one hour.

Now, if you have four each of the large and small pumps, they will work at a rate of

4x + 4y = 4 (0.1) + 4 (0.05) = 0.6

meaning they can fill 3/5 of a pool in one hour. If it takes time t to fill one pool, we have

(3/5 pool/hour) (t hours) = 1 pool

==> t = (1 pool) / (3/5 pool/hour) = 5/3 hours

So it would take 5/3 hours, or 100 minutes, for this arrangement of pumps to fill one pool.

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3 years ago

A greenhouse manager knows, from experience, that the probability of a plant surviving the winter is 3/5 . If her greenhouse has

Lina20 [59]

162 plants, if 60% of the plants live you can set it up like this: 60/100 = X/270, to find X, you cross multiply and divide by 100

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3 years ago

Read 2 more answers

What is the first step in solving ln(x − 1) = ln6 − lnx for x?

Stels [109]

Answer:

Option C - Simplify the right side using the "difference of two logs is the log of the quotient" property.

Step-by-step explanation:

Given : Expression $\ln (x-1)=\ln 6-\ln x$

To find : What is the first step in solving the expression ?

Solution :

Expression $\ln (x-1)=\ln 6-\ln x$

Step 1 - Simplify the right side using the "difference of two logs is the log of the quotient" property.

i.e. $\ln a-\ln b=\ln(\frac{a}{b})$

Apply the first step we get,

$\ln (x-1)=\ln(\frac{6}{x})$

Therefore, Option C is correct.

6 0

3 years ago