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3 years ago

I need help with this math problem

Mathematics

1 answer:

klemol [59]3 years ago

6 0

Answer:

x = 15

Step-by-step explanation:

The right angle is formed at at the tangent line and the radius

So to solve for the missing angle we can solve for x using the Pythagorean Theorem

The Pythagorean theorem states that the sum of the two legs squared equal the hypotenuse squared

Knowing this we can create an equation to solve for x

$12^2+9^2=x^2$

now we solve for x

$12^2=144\\9^2=81\\81+144=225\\225=x^2\\\sqrt{225} =15\\\sqrt{x^2} =x\\x=15$

So we can conclude that x = 15

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A rain gutter is made from sheets of aluminum that are 20 inches wide by turning up the edges to form right angles. Determine th

Mice21 [21]

For the answer to this question,

Let x = depth of the gutter
then
18 - 2x = width of the gutter
Cross section area
A = depth x width

 = x(18 - 2x)
A = 18x - 2x^2
:
Axis of symmetry will give x value for max area:

x = -b/(2a)
x = -18/(2x(-2))

x = 4.5 inches is the depth for max area

Max area: 4.5 * 9 = 40.5 sq/in

I hope my answer helped you.

3 0

3 years ago

Work out the surface area of this solid prism.

alexandr1967 [171]

Answer:

2520cm²

Step-by-step explanation:

Surface area = sum of the area of all the bases.

Area of bottom base = 28 * 30 = 840

Area of right base = 25 * 30 = 750

Area of left base = 17 * 30 = 510

Area of two triangles = ( 15 * 28 ) / 2 = 210 * 2 = 420

Then add all the areas together to find surface area

Surface area = 840 + 750 + 510 + 420 = 2520cm²

Relevant Formulas:

Area of a rectangle = length * width. This formula was used to find the area of the bottom base, the right base and the left base

Area of a triangle = ( height * base length ) / 2 . This formula was used to find the area of the sides which are triangles.

5 0

3 years ago

HELP NEEDED IMMEDIATELY! I'M GETTING DESPERATE!

TiliK225 [7]

Answer:

The number of different possible values are {-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7}.

Step-by-step explanation:

Given : For an integer n, the inequality $x^2 + nx + 15 < 0$ has no real solutions in x.

To find : The number of different possible values of n ?

Solution :

The given inequality is $x^2 + nx + 15 < 0$ have no solution then the discriminant must be less than zero.

i.e. $b^2-4ac$

Here, a=1, b=n and c=15

${n}^{2} - 4 \times 1 \times 15 \: < \: 0$

${n}^{2} - 60 \: < \: 0$

$n^2$

$n$

i.e. $- 7.75 \: < \: n \: < \: 7.75$

The integer values are {-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7}.

7 0

3 years ago

PLS HELP ME ASAP FOR 1, 2, 3, and 4! (SHOW WORK!!!) + LOTS OF POINTS!!! (SHOW WORK!!!)

svp [43]

I will show you how to do first one but it is simple addition and subtraction.

7y + 5 + (3 - y)

We just combine like terms
7y - y + 5 + 3

6y + 8

I will do the second one for subtraction
5 + 5q - (3q - 9)

since the subtracroon sign is outsiDr patenthesis you have to apply it to both terms
5 + 5q - 3q + 9

since it was -9 it became --9 which is +9
so:
5q - 3q + 5 + 9

2q + 14

3 0

3 years ago

The secret number has a 7 in the ones place. The tens number is an odd number

Lana71 [14]

This really is left up to you as long as you have an odd number in the tens place and a 7 in the ones place. How big (or small) the number is is up to you. As long as it is at least 17, it's pretty much up to you.

7 0

3 years ago