What is the area and what is the excretion

Mathematics

1 answer:

qaws [65]1 year ago

8 0

Answer:

24 ft²

6 × 3 + (½ × 4 × 3)

Step-by-step explanation:

Split shape into a rectangle and triangle;

The rectangle is 6 by 3 ft, the area can be found by multiplying the 2 dimensions:

6 × 3 = 18

The triangle has base 4 ft, the total length of the shape (10 ft) take the 6 ft that is part of the rectangle;

The height is 3 ft;

The area us found by ½ × base × height:

½ × 4 × 3 = 6

Add this together to get the total area.

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Explain how an estimate helps you place the decimal point when multiplying 3.9 × 5.3

4vir4ik [10]

An estimate helps you place the decimal point when multiplying because if you find out how many decimals there are and once you are done doing you estimated multiplication you put two decimal points after that.

Hope I helped some what and didn't make you confused.

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2 years ago

Which method would you use to prove that the two triangles are congruent?

Alona [7]

Answer:- AAS postulate

Explanation:-

AAS postulate tells that if two angles and a non-included side of a triangle to equal to the two angles and a non-included side of another triangle then the two triangles are said to be congruent.

Given:- One angle and one side of a triangle is equal to the one angle and one side of the other triangle.

We see there is one more pair of equal angles as they are vertically opposite angles . [See the attachment]

⇒ there is a triangle where two angles and a non-included side of a triangle to equal to the two angles and a non-included side of another triangle then the two triangles are said to be congruent.

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3 years ago

Consider the following hypothesis test:H0: 20Ha: < 20A sample of 60 provided a sample mean of 19.6. The population standard d

elixir [45]

Answer:

a: z = -1.936

b: 0.0265

d: z < -1.645

Reject H0 if z < -1.645

Step-by-step explanation:

We are given:

H0: µ = 20

HA: µ < 20

n = 60, sample mean: 19.6, σ = 1.6

Since the alternate hypothesis has a < sign in it, it is a left tailed test. The < or > sign in the alternate hypothesis points towards the rejection region.

For a: We need to calculate the test statistic for our situation. This is done with a z-score formula for samples.

For b: we need to use the z-score table to look up the p-value for the score we calculate in part a. The p-value is 0.0265. This means that there is only about a 2.65% chance that the sample values were a result of random chance.

For d: Since the significance level is 0.05, and this is a one tailed test, we have a critical value of z < - 1.645. This means that if the z-score we calculate in part a is less than -1.645, we will reject the null hypothesis

See attached photo for all the calculations!