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Natasha_Volkova [10]
3 years ago
15

The Jeffersons just finished eating dinner at their favorite restaurant. The family group consists of a grandfather, mother, fat

her, and three children. The average cost of each family member’s meal was $9.80. By rounding to the nearest whole dollar, find a reasonable estimate of the total cost of this meal. A. $50 B. $55 C. $60 D. $65
Mathematics
1 answer:
zlopas [31]3 years ago
6 0
The cost for each of the 6 family members was about $10, so the meal cost can be estimated at 6 * $10 = ...
  C. $60
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What other parts must be equal?
maks197457 [2]

Answer:

Option C GH and JK

Step-by-step explanation:

A S A means angle side angle where the side is subtended in-between the 2 angles

Topic: Similarity and congruency

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

4 0
3 years ago
These questions are so confusing. Please help. You get 15 points.
aksik [14]

Answer:

13,260.22 mm²

Step-by-step explanation:

the area of the shaded region is the area of the larger circle minus the area of the smaller one

to find the area of the larger we will use half of 62 plus 41 as the radius:

Area (larger) = 3.14(72)²

= 16,277.76

Area (smaller) = 3.14(31)²

= 3,017.54

Area (shaded region) is 16277.76 - 3017.54 = 13,260.22 mm²

7 0
2 years ago
1. Quadratics.
Drupady [299]

h(24) = 21.93, vertical intercept is 5.8, (31.76,22.95) are the vertex coordinates and the distance traveled by the shot is 73.49 feet given the equation of the path of the longest shot h(x) = -0.017x² + 1.08x + 5.8. This can be obtained by understanding the concepts of graph function.

<h3>What is the value of h(24)?</h3>

Given,

h(x) = -0.017x² + 1.08x + 5.8

Put h = 24,

h(24) = -0.017(24)² + 1.08(24) + 5.8

h(24) = -9.792 + 25.92 + 5.8

h(24) = 21.93

The height of the shot put above the ground is 21.93 feet when the shot is 24 feet horizontally from the start.

<h3>What is the value of the vertical intercept?</h3>

Vertical intercept, x = 0

h(0) = -0.017(0)² + 1.08(0) + 5.8

h(0) = 5.8

The height of the shot put above the ground is 5.8 feet at the start.

<h3>What is the values of the vertex coordinates?</h3>

vertex coordinates,

(h,k) = [(-b/2a),-(b²- 4ac)/4a]

(h,k) = [(-1.08/2(-0.017)),-((1.08)²- 4(-0.017)(5.8))/4(-0.017)]

(h,k) = [(1.08/0.034),(1.5608)/0.068)]

(h,k) = (31.76,22.95)

The maximum height attained by the shot is 22.95 feet when it is horizontally 31.76 feet away from the start.

<h3>How far from the start did the shot put strike the ground?</h3>

Put h(x) = 0,

-0.017x² + 1.08x + 5.8 = 0

Use quadratic formula for solving x,

x = (-b±√b²- 4ac)/2a

Here a = -0.017, b=1.08, c=5.8

x = [-1.08±√1.08²- 4(-0.017)(5.8)]/(2×-0.017)

x = [-1.08±√1.5608]/-0.034

x =  [-1.08-1.2493]/-0.034 and x =  [-1.08+1.2493]/-0.034

x = 68.509 and x = - 4.98

Distance between (68.509,0) and (- 4.98,0) = √[68.509 -(- 4.98)]² + (0-0)²

                                                                        = √73.49²

                                                                        = 73.49 feet              

Hence h(24) = 21.93, vertical intercept is 5.8, (31.76,22.95) are the vertex coordinates and the distance traveled by the shot is 73.49 feet given the equation of the path of the longest shot h(x) = -0.017x² + 1.08x + 5.8.

Learn more about graph:

brainly.com/question/14180189

#SPJ1

8 0
2 years ago
ONLY NUMBER 1 please help
yan [13]

Answer:

Just to be on the safe side the first #1 is 31.5 and the second #1 is 57.82

5 0
3 years ago
Read 2 more answers
HELP NOW!!!!
VMariaS [17]

Using the concept of probability and the arrangements formula, there is a  

0.002 = 0.2% probability that the first 8 people in line are teachers.

----------------------------------

  • A probability is the <u>number of desired outcomes divided by the number of total outcomes.</u>
  • The order in which they are positioned is important, and all people will be positioned, and thus, the arrangements formula is used to find the number of outcomes.

The number of possible arrangements from a set of n elements is given by:

A_n = n!

----------------------------------

The desired outcomes are:

  • First 8 people are teachers, in <u>8! possible ways.</u>
  • Last 4 are students, in <u>4! possible ways.</u>

Thus, D = 8! \times 4!

----------------------------------

For the total outcomes, <u>number of arrangements of 12 people</u>, thus:

T = 12!

The probability is:

p = \frac{D}{T} = \frac{8! \times 4!}{12!} = 0.002

0.002 = 0.2% probability that the first 8 people in line are teachers.

A similar problem is given at brainly.com/question/24650047

7 0
3 years ago
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