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3 years ago

THe product of three numbers is 3150. Two of the number are 14 and 15. Find the third number

Mathematics

2 answers:

Sholpan [36]3 years ago

4 0

Answer:

Step-by-step explanation:

Let's call the mystery number x.

$14\cdot 15\cdot x=3150 \\\\210x=3150 \\\\x=3150/210=15$

Hope this helps!

VladimirAG [237]3 years ago

3 0

Answer:

Step-by-step explanation:

multiply 14 and 15.

divide 3150 by the product.

you'll find the answer i.e.15

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Determine whether or not the relation is a function. Please help asap

OLga [1]

Answer:

A function can have many x values for a given y value and still be a function but it cannot have many y values for a given x value. You can easily test this by graphing the equation and doing the vertical line test by seeing if a vertical line will intersect the graph only once at all x values, if it passes it is a function. In short what you have here is a function

Step-by-step explanation:

4 0

2 years ago

The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f

WITCHER [35]

Answer:

Part 1) $A=36(\pi-2)\ cm^2$

Part 2) $P=6(\pi+2\sqrt{2})\ cm$

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

$A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)$

we have that the base and the height of triangle is equal to the radius of the circle

$r=12\ cm\\b=12\ cm\\h=12\ cm$

substitute

$A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2$

simplify

Factor 36

$A=36(\pi-2)\ cm^2$

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

$C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r$

substitute the given values

$C=\frac{1}{2}\pi (12)\\C=6\pi\ cm$

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

$AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm$

simplify

$AC=12\sqrt{2}\ cm$

Find the perimeter

$P=(6\pi+12\sqrt{2})\ cm$

simplify

Factor 6

$P=6(\pi+2\sqrt{2})\ cm$

4 0

3 years ago

How many terms are in the arithmetic sequence 1313, 1616, 1919, ……, 7070, 7373?

Nataliya [291]

To find the number of terms in the arithmetic sequence, we need to use the formula
$a_{n}= a_{1}+(n-1)d$
where $a_{n}$ is the nth number, $a_{1}$ is the first number, n is the number of terms and d is the difference of the two consecutive numbers.
7373 = 1313 + (n - 1)(303)
7373 = 1313 + 303n - 303
7373 = 1010 + 303n
7373 - 1010 = 303n
6363 = 303n
6363 ÷ 303 = n
n = 21

Therefore, there are 21 terms in the arithmetic sequence given.

7 0

3 years ago

The weight of 10 identical samples of a substance is 0.01 pound. What is the weight of 1000 samples?

lys-0071 [83]

The weight would be 10 pounds

7 0

2 years ago

Read 2 more answers

What is the value of y in the equation 5x+2y=20 when x=0.3

MakcuM [25]

5 multiplied by .3 is 1.5
1.5 + 18.5 = 20.
y = 9.25

3 0

2 years ago