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3 years ago

(c) One lorry travels from your town to another town. The lorry reaches a top speed

Mathematics

1 answer:

Katen [24]3 years ago

8 0

Answer:

The average speed is 24 km/h less than the top speed of the lorry.

Step-by-step explanation:

The top speed of the lorry is the highest speed reached during transit, while its average speed is the mean speed attained

Given:.

Top speed of the lorry = 90 km/h

Average speed of the lorry = 66 km/h

Then,

The difference between the speed reached = top speed - average speed

= 90 - 66

= 24 km/h

Therefore, the average speed is 24 km/h less than the top speed of the lorry.

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The prices of consumer goods do not always exactly follow the CPI. The following chart shows several consumer items, along with

zloy xaker [14]

The reasonable estimate of the current customer price index is 195. The option B is the correct option.

<h3>Customer price index</h3>

Customer price index is the price index which measures the weight average of price of basket of customers goods or services.

It can be given as,

$\rm CPI_t=\dfrac{C_t}{C_0}\times 100$

Here $\rm C_t$ is the cost of market basket in current period and $\rm C_0$ is the cost of market basket in the base period.

Cost of market basket in current period is

$\rm C_t=15.66+119.75+23.99+37.50\\\\C_t=196.9$

Cost of market basket in 1983 is,

$\rm C_0=8.85+71.25+13.95+22.7\\\\C_0=116.8$

Substitute all the values in the formula

$\rm CPI_t=\dfrac{C_t}{C_0}\times 100\\\\\rm CPI_t=\dfrac{196.9}{116.8}\times 100\\\\\rm CPI_t=1.685\times 100 \\\\ CPI_t=168.5\\\\\rm CPI_t= 170 \ \rm approx$

Thus the value of current CPI is 168.5 which is near about the 170.

Hence, the reasonable estimate of the current customer price index is 195. The option B is the correct option.

Learn more about the customer price index here;

brainly.com/question/25495502

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2 years ago

At a sale this week, a sofa is being sold for $527. This is a 32% discount from the original price. What is the original price?

sashaice [31]

The answer is: $695.64

527 times 0.32 then add that to 527

4 0

3 years ago

20 POINTS !!!!!! Determine whether side-side-angle (SSA) is a valid means for establishing triangle congruence. In this case, yo

Dahasolnce [82]

It's not valid because there are too many unknown quantities, meaning there is not exactly one triangle that could exist for any given SSA combination.

For a visual example, see the attached image below.

It's fairly obvious that $b\neq b'$ . One is acute, the other is obtuse. In the triangle on the right, the dashed side has the same length $A$ as in the triangle on the left. This dashed side and the actual side $A$ form an isosceles triangle with congruent base angles $b'$ . The angles $b$ and $b'$ are supplementary (they add to 180 degrees), or $(b')^\circ=(180-b)^\circ$ .

Now by the law of sines, in the first triangle,

$\dfrac{\sin a^\circ}A=\dfrac{\sin b^\circ}B$

and that in the second triangle,

$\dfrac{\sin a^\circ}A=\dfrac{\sin(b')^\circ}B=\dfrac{\sin(180-b)^\circ}B$

but we also know that $\sin(180-x)^\circ=\sin x^\circ$ . Hence $\sin b'=\sin b$ .

Two different angles in this arrangement allow for two different triangles to be constructed, so having a SSA correspondence between two triangles is not enough evidence for their congruence.