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Trava [24]
3 years ago
7

Can someone answer this question please (picture)

Mathematics
1 answer:
erik [133]3 years ago
7 0

Answer:

31.5 units^2

Step-by-step explanation:

Rectangle area (RA) = l × w

Triangle area (TA) = (bh)/2

RA = 3 × 7

RA = 21

TA = (7 × 3)/2

TA = 21/2

TA = 10.5

(Triangles are congruent as shown by the lines on each side of the triangle so I can calculate area of both of them together as I just did)

Add areas together

21 + 10.5 = 31.5

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An amusement park charges $8 for admission and $2 for each ride. Use the graph to find the slope and the y-intercept. Then write
kupik [55]

Answer:

y=2x+8

Step-by-step explanation:

y=mx+b

M: cost for each ride, $2

B: Flat admission rate, $8

6 0
2 years ago
Find last year’s salary if, after a 3% pay raise, this year’s salary is $32,960.
belka [17]

Answer:

$32000

Step-by-step explanation:

Let last years salary was $x

Therefore,

x + 3% of x = $32960

x + 0.03x = $32960

1.03x=$32960

x = 32960/1.03

x = $32,000

So, last year's salary was $32000.

3 0
3 years ago
Please help me!
Alexxandr [17]

A right triangle has one leg with unknown length, the other leg with length of 5 m, and the hypotenuse with length 13 times sqrt 5 m.

We can use the Pythagorean formula to find the other leg of the right triangle.

a²+b²=c²

Where a and b are the legs of the triangle and c is the hypotenuse.

According to the given problem,

one leg: a= 5m and hypotenuse: c=13√5 m.

So, we can plug in these values in the above equation to get the value of unknown side:b. Hence,

5²+b²=(13√5)²

25 + b² = 13²*(√5)²

25 + b² = 169* 5

25+ b² = 845

25 + b² - 25 = 845 - 25

b² = 820

b =√ 820

b = √(4*205)

b = √4 *√205

b = 2√205

b= 2* 14.32

b = 28.64

So, b= 28.6 (Rounded to one decimal place)

Hence, the exact length of the unknown leg is 2√205m or 28.6 m (approximately).

5 0
3 years ago
You want to estimate the probability that a lightbulb of a famous brand will last more than 6.500 hours. You choose 10,000 bulbs
brilliants [131]

Answer/Step-by-step explanation:

(a) The likelihood function to estimate this probability can be written as:

mat[1000, 9800]p9580(1 - p)420

(b) The value of the maximum likelihood estimate of the probability 0.958(By taking log of expression in (a) above)

(c) when the true probability is 98%, then it implies that 9800 of 10,000 bulbs did last over 6500hours.

Therefore, the likelihood is p(9800) = mat[10000, 9800]p9800(1 - p)200

(d) Method of moments estimate is the estimation of all the parameters of the population sample.

(e) The statement is FALSE because estimates by the method of moments are not necessarily sufficient statistics, because sometimes fail to take into account all relevant information in the sample. As in the above question

4 0
3 years ago
Macy has a circular garden that has a radius of 9 meters. What is the circumference of her garden? Use 3.14 for pi.
olga2289 [7]

Answer:

c

Step-by-step explanation:

i am 99.99% sure it is c

6 0
3 years ago
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