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2 years ago

What is the measure of angle 1? Put the number only.

Mathematics

2 answers:

Maslowich2 years ago

8 0

Answer:

120

Step-by-step explanation:

75 + 45 = 120

The triangle adds up to 180.

180 - 120 = 60

Therefore the inside of the triangle is 75, 45, and now 60 which all adds up to 180.

Now to find Angle 1.

180 - 60 = 120

With Angle 1 being 120

Katarina [22]2 years ago

6 0

Answer:

angle 1 = 120 degree

Step-by-step explanation:

75 degree + 45 degree = angle 1 (sum of two opposite interior angles is equal to the exterior angle formed)

120 degree = angle 1

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Let f(t)=6−2t2. Evaluate f(t+1).

tia_tia [17]

Answer:

f(t+1)= -4t+2

Step-by-step explanation:

Subsitute the given vaule into the function and evaluate.

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3 years ago

5/6+5/6 show your work

Umnica [9.8K]

10/6 = 1 2/3 This is because 5 + 5 =10/6 Divide 19 by six. This gives you 1 2/3

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3 years ago

Your boss tells you that she knows the length of the widgets your company makes is normally distributed with a mean of 25 inches

sp2606 [1]

Answer:

Mean of sampling distribution = 25 inches

Standard deviation of sampling distribution = 4 inches

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 25 inches

Standard Deviation, σ = 12 inches

Sample size, n = 9

We are given that the distribution of length of the widgets is a bell shaped distribution that is a normal distribution.

a) Mean of the sampling distribution

The best approximator for the mean of the sampling distribution is the population mean itself.

Thus, we can write:

$\bar{x} = \mu = 25\text{ inches}$

b) Standard deviation of the sampling distribution

$s = \dfrac{\sigma}{\sqrt{n}} = \dfrac{12}{\sqrt{9}} = 4\text{ inches}$

8 0

3 years ago

A parabola can be drawn given a focus of (-11, -2) and a directrix of x= -3

fgiga [73]

Check the picture below, so the parabola looks more or less like that.

now, the vertex is half-way between the focus point and the directrix, so that puts it where you see it in the picture, and the horizontal parabola is opening to the left-hand-side, meaning that the distance "P" is negative.

$\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}$

$\begin{cases} h=-7\\ k=-2\\ p=-4 \end{cases}\implies 4(-4)[x-(-7)]~~ = ~~[y-(-2)]^2 \\\\\\ -16(x+7)=(y+2)^2\implies x+7=-\cfrac{(y+2)^2}{16}\implies x=-\cfrac{1}{16}(y+2)^2-7$

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2 years ago

An arts acedemy requires there to be 3 teachers for every 75 students and 6 tutors for every 75 students.How many tutors does th

JulsSmile [24]

They need 10 tutors if the academy has 120 students.

6 0

3 years ago