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chubhunter [2.5K]

2 years ago

11

I need help..........................................

2 answers:

nexus9112 [7]2 years ago

7 0

Answer:

∠SRT and ∠TRV

∠VRW and ∠WRS

∠VRU and ∠URS

Step-by-step explanation:

=>A linear pair is a pair of adjacent angles formed when two lines <u>intersect</u>.

==>>Since the angles' two lines intersect, it becomes linear.

===>>>Formula: $a+b=180$

Ainat [17]2 years ago

5 0

Answer:

the only one that isn't is SRT And TRU. all the others are linear pairs

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. A right cylindrical drum is to hold 7.35 cubic feet of liquid. Find the dimensions (radius of the base and height) of the drum

Drupady [299]

Answer:

$r=1.05\ \text{ft}$

$h=2.12\ \text{ft}$

$20.91\ \text{ft}^3$

Step-by-step explanation:

r = Radius

h = Height

Volume of cylinder = $7.35\ \text{ft}^3$

$V=\pi r^2h\\\Rightarrow h=\dfrac{V}{\pi r^2}\\\Rightarrow h=\dfrac{7.35}{\pi r^2}$

Surface area is given by

$A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi r^2+2\pi r\dfrac{7.35}{\pi r^2}\\\Rightarrow A=2\pi r^2+\dfrac{14.7}{r}$

Differentiating with respect to radius we get

$\dfrac{dA}{dr}=4\pi r-\dfrac{14.7}{r^2}$

Equating with zero we get

$0=4\pi r-\dfrac{14.7}{r^2}\\\Rightarrow 4\pi r=\dfrac{14.7}{r^2}\\\Rightarrow r^3=\dfrac{14.7}{4\pi}\\\Rightarrow r=(\dfrac{14.7}{4\pi})^{\dfrac{1}{3}}\\\Rightarrow r=1.05$

$\dfrac{d^2A}{dr^2}=4\pi-2\times \dfrac{14.7}{r^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=4\pi+2\times \dfrac{14.7}{1.05^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=37.96>0$

So, the value of the function is minimum at $r=1.05$

$h=\dfrac{7.35}{\pi r^2}=\dfrac{7.35}{\pi 1.05^2}\\\Rightarrow h=2.12$

So, the radius and height which would minimize the surface area is 1.05 feet and 2.12 feet respectively.

Surface area

$A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi \times 1.05^2+2\pi 1.05\times 2.12\\\Rightarrow A=20.91\ \text{ft}^3$

The minimum surface area is $20.91\ \text{ft}^3$ .

8 0

3 years ago

A major department store chain is interested in estimating the mean amount its credit card customers spent on their first visit

sergiy2304 [10]

Answer:

95% Confidence interval: (39.43, 61.58)

Step-by-step explanation:

We are given the following in the question:

Sample mean, $\bar{x}$ = $50.50

Sample size, n = 15

Alpha, α = 0.05

Sample standard deviation = 20

95% Confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 14 and}~\alpha_{0.05} = \pm 2.1447$

$=50.50 \pm 2.1447(\dfrac{20}{\sqrt{15}} ) \\\\= 50.50 \pm 11.0751 \\= (39.4249,61.5751)\\\approx (39.43, 61.58)$

95% Confidence interval: (39.43, 61.58)

8 0

3 years ago

Look at screenshot please help

Novosadov [1.4K]

Number 5 is the answer

5 0

3 years ago

I need help!Which cream cheese has the lowest price per ounce?

kogti [31]

Answer:

4.29 for 12 oz

Step-by-step explanation:

2.89/8=.36

4.29/12=.35

5.29/14=.37

2.59/6=.43

You can divide the price by oz to find you answer, in this cse, its 4.29 for 12

7 0

3 years ago

Please help with this 3a² = 27. Find a

Ivahew [28]

Answer:

$a = 3$

Step-by-step explanation:

$3 {a}^{2} = 27 \\ \frac{3 {a}^{2} }{3} = \frac{27}{3} \\ {a}^{2} = 9 \\ a = \sqrt{9} \\ a = 3$

6 0

3 years ago

Read 2 more answers