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Evgen [1.6K]
3 years ago
8

The product of two consecutive integers is 72. find the integers

Mathematics
1 answer:
Margaret [11]3 years ago
6 0

Answer:

the integers are 8 and 9

Step-by-step explanation:

consecutive means one right after the other. 9 is right after 8. and its product is 72, well 8x9 is 72.

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What is the reason for each step in the solution of the equation?
user100 [1]

Answer in the attachment.

3 0
3 years ago
The circumference of a circle is 9π m. What is the area of the circle? ASAP!
liubo4ka [24]

Answer:

20.25 m²

Step-by-step explanation:

the area (A) and circumference (C) of a circle are calculated using the formulae

C = 2πr and A = πr² ( where r is the radius )

calculate the radius using the formula for circumference

2πr = 9π ( divide both sides by 2π )

r = \frac{9\pi }{2\pi } = \frac{9}{2} = 4.5, hence

A = π × 4.5² = 20.25π m²


4 0
3 years ago
In​ 1990, the average math SAT score for students at one school was 498. Five years​ later, a teacher wants to perform a hypothe
mojhsa [17]

Answer:

A. Fail to reject the claim that the average math SAT score is 498 when in fact it is not 498.

Step-by-step explanation:

Type II Error:

A type II error happens when there is a non-rejection of a false null hypothesis.

In this question:

The null hypothesis is H0​:μ=498.

Since there is a type II error, there was a failure to reject the claim that the average math SAT score is 498 when in fact it is not 498, and thus, the correct answer is given by option A.

6 0
3 years ago
Rectangle A is a scaled version of rectangle B. The dimensions of rectangle A are three times the dimensions of rectangle B. The
Firlakuza [10]

Answer:

1458 sq cm

Step-by-step explanation:

because each dimension of A is 3 tomes each dimension of B, that will mean that both the length and width of B are multiplied by 3 in order to get the length and width of A, so the area of B is length×width=162 and the area of A (in terms of B's dimensions) is 3xlength×3×width=9×length×width=9×162=1458 sq cm

7 0
4 years ago
Find the rectangular coordinates of the point with the polar coordinates (3, 3 divided by 2 pi ). (1 point)
kifflom [539]

Answer:

The correct choice is (0,-3)

Step-by-step explanation:

To convert from polar coordinates to rectangular coordinates, we use the parametric equations:

x=r\cos \theta and y=r\sin \theta

The point given to us in polar coordinates is (3,\frac{3}{2}\pi).

where r=3,\theta=\frac{3\pi}{2}

x=3\cos (\frac{3\pi}{2}) and y=3\sin( \frac{3\pi}{2})

x=3(0) and y=3(-1)

x=0 and y=-3

The correct choice is (0,-3)

5 0
3 years ago
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