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3 years ago

The polygons below are similar, but not necessarily drawn to scale. Find the values of x and y.

1 answer:

4 0

Hey This Is The Answer I Got

(x-1)/16=6/12
16*6=12(x-1)
96=12x-12
12x=84
x=7

Hoped I Helped

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Consider the graphs of f(x) and g(x).

butalik [34]

Answer:

The value of k is -7

Step-by-step explanation:

We are given the graph of f(x) and g(x). If g(x)=f(x)+k

If we shift f(x) k unit vertical get g(x).

If k>0 then shift up

If k<0 then shift down.

f(x) and g(x) are both parabola curve.

First we find the vertex of f(x) and g(x)

Vertex of f(x) = (3,1)

Vertex of g(x) = (3,-6)

We can see change in y co-ordinate only.

f(x) shift 7 unit down to get g(x)

g(x)=f(x)-7

Therefore, The value of k is -7

5 0

3 years ago

Read 2 more answers

the amount of money in an account with continuously compounded interest. calculated to the nearest tenth of a year how long it t

pentagon [3]

You will need this formula:
Years = ln (Total / Principal) / rate
(where "ln" means natural logarithm)
and we'll use $100 and $200 for beginning and ending amount
Years = ln (200 / 100) / rate
Years = 0.69314718056 / .052
Years = 13.3297534723 
Rounding to the nearest tenth of a year:
Years = 13.3

Source:
http://www.1728.org/rate2.htm

6 0

3 years ago

Golf-course designers have become concerned that old courses are becoming obsolete since new technology has given golfers the ab

zhenek [66]

Answer:

test statistic is ≈ -0.36

p-value is ≈ 0.64

There is no significant evidence that the average golfer can hit the ball more than 235 yards on average.

Step-by-step explanation:

a hypothesis test where H_0: mu = 235 and H_1:mu > 235

test statistic can be calculated as follows:

z= $\frac{X-M}{\frac{s}{\sqrt{N} } }$ where

sample mean driving distance (233.8 yards)

M is the average expected distance that the average golfer can hit the ball under null hypothesis. (235 yards)

s is the standard deviation (46.6 yards)

N is the sample size (192)

Then test statistic is z= $\frac{233.8-235}{\frac{46.6}{\sqrt{192} } }$ =-0.3568

p-value is 0.64 >0.05

There is no significant evidence that the average golfer can hit the ball more than 235 yards on average.

6 0

3 years ago

Solve this inequality for x 81 -1 1/5r <55

allsm [11]

$81-1\dfrac{1}{5}r < 55\qquad|\text{subtract 81 from both sides}\\\\-\dfrac{1\cdot5+1}{5}r < -26\qquad|\text{change the signs}\\\\\dfrac{6}{5}r > 26\qquad|\text{multiply both sides by 5}\\\\6r > 130\qquad|\text{divide both sides by 6}\\\\r > \dfrac{130}{6}\\\\r > \dfrac{65}{3}\to r > 21\dfrac{2}{3}$

7 0

3 years ago

Read 2 more answers

What is the answer to this and can you answer this quickly please _ in. = 28 ft 10 in

vaieri [72.5K]

The answer is 250 in

3 0

3 years ago