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Irina-Kira [14]
3 years ago
6

Work out angle x please!!

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
7 0

Answer:

x = 80°

Step-by-step explanation:

The full angle of the straight line is 180°. We already have 100°, so we need to find out what is left over for x

180 - 100 = 80

So the angle of x is 80°

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Multiply the polynomials (a^2+3a-7) and (a+4)<br> simplify answer + show work
Anton [14]
= a^3 +3a^2-7a+4a^2+12a-28
=a^3 +7a^2+5a-28
3 0
4 years ago
Find the domain and range of the function f(x) = 3x^2 - 5.Also find f(-3) and the numbers which are associated with the number 4
Delicious77 [7]

Domain:


This function is a polynomial, i.e. a sum of powers of a variables, each with its coefficient. Polynomials are defined for every possible value of the variable, so the domain is the whole real number set: D = \mathbb{R}


Range:


A polynomial of degree 2 represents a parabola. Since the leading coefficients, i.e. the coefficient of the term with highest degree, is positive (in this case, it's 3), the parabola is concave up. It means that it has a minimum, and it's unbounded from above. So, the range is something like [a,\infty). To find the minimum, let's start with the "standard" parabola y=x^2, and transform it to the one of this exercise. y=x^2 has minimum 0, and thus its range is [0,\infty). When you multiply it times three, its shape narrows, but the range wont change: [0,\infty) \to [3\cdot 0,3\cdot \infty) = [0,\infty). Finally, when you subtract 5, you shift everythin down 5 units. This transformation affects the range, since you have [0,\infty) \to [0-5,\infty-5) = [-5,\infty)


Image of -3:


To compute f(-3), simply plug x=-3 in the formula:


f(-3) = 3(-3)^2-5 = 3\cdot 9 - 5 = 27-5 = 22


Numbers associated with 43:


We want to see which x value we must choose to get a y value of 43. So, the equation is


y = 3x^2-5 \to 43 = 3x^2-5 \iff 48 = 3x^2 \iff 16 = x^2 \iff x = \pm\sqrt{16} = \pm4

4 0
4 years ago
What would be the volume of the cone that has the same measurement as the cylinder above in the pic
fomenos

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Volume of cone will be ~

\fbox \colorbox{black}{ \colorbox{white}{volume} \:  \:  \:   \:   \: \colorbox{white}{=}  \:  \:   \:   + \colorbox{white}{462 \: cm³ }}

\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}

Let's find the volume of cone with ~

  • radius (r) = 7 cm

  • height (h) = 9 cm

And as we know, volume of cone is equal to ~

  • \dfrac{1}{3}\pi  {r}^{2} h

now, let's plug in the values and find the volume ~

  • \dfrac{1}{ \cancel{3}  }\times  \dfrac{22}{\cancel{7}}  \times \cancel{7 }\times 7 \times \cancel{9}

  • 1 \times 22 \times 7 \times 3

  • 462 \:  \:  {cm}^{3}

Volume of cone is 462 cm³ = 462 ml

7 0
3 years ago
How do you write 32,05,008 in expand form and word form
Hunter-Best [27]
3,205,008 = 3,000,000 + 200,000 + 5,000 + 8 in expanded form
3,205,008 = 3 million, 2 hundred and five thousand and eight in word form.
3 0
3 years ago
A florist makes a bouquet made up of 7 roes 12 carnations and 5 lilies what is the ratio of roses to flowers that are not roses
kompoz [17]

answear is 7/17 hope its useful

5 0
3 years ago
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