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MAXImum [283]
2 years ago
9

Ayden had a goal of finishing painting at least 80\%80%80, percent of the 500500500 square meters of a house's walls by today. H

e actually finished painting 415415415 square meters today. Did Ayden meet his goal? Why? , Ayden painted square meters than his goal.
Mathematics
1 answer:
lakkis [162]2 years ago
6 0

Answer: Yes, 15\ m^2

Step-by-step explanation:

Given

The surface area of the house A=500\ m^2

Ayden aims to finish 80% of the painting

The actual painting done by him is A_c=415\ m^2

Now 80% of the total is

\Rightarrow A'=500\times \dfrac{80}{100}=400\ m^2

Clearly, actual painting done is more than 80% of the painting

\therefore Ayden meet his goal

\Rightarrow A_c-A'=415-400=15\ m^2

He painted 15\ m^2 more than his target

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A survey finds that 48% of people identify themselves as fans of professional football, 12% as fans of car racing, and 9% as fan
Aleonysh [2.5K]

Answer:

P(F/C) = 0.75

P(C^F) = 0.09

P(C^F) = P(F^C)

Step-by-step explanation:

P(C^F) = 9% = 0.09

P(C^F) = P(F^C)

P(F/C) = P(F^C)/P(C)

= 0.09/0.12 = 0.75

5 0
2 years ago
Read 2 more answers
Find the area of quadrilateral ABCD. [Hint: the diagonal divides the quadrilateral into two triangles.]
Vadim26 [7]

Answer:

B) 28.53 unit²

Step-by-step explanation:

The diagonal AD divides the quadrilateral in two triangles:

  1. Triangle ABD
  2. Triangle ACD

Area of Quadrilateral will be equal to the sum of Areas of both triangles.

i.e.

Area of ABCD = Area of ABD + Area of ACD

Area of Triangle ABD:

Area of a triangle is given as:

Area = \frac{1}{2} \times base \times height

Base = AB = 2.89

Height = AD = 8.6

Using these values, we get:

Area = \frac{1}{2} \times 2.89 \times 8.6 = 12.43

Thus, Area of Triangle ABD is 12.43 square units

Area of Triangle ACD:

Base = AC = 4.3

Height = CD = 7.58

Using the values in formula of area, we get:

Area = \frac{1}{2} \times 4.3 \times 7.58 = 16.30

Thus, Area of Triangle ACD is 16.30 square units

Area of Quadrilateral ABCD:

The Area of the quadrilateral will be = 12.43 + 16.30 = 28.73 units²

None of the option gives the exact answer, however, option B gives the closest most answer. So I'll go with option B) 28.53 unit²

7 0
2 years ago
A line passes through the points (p, a) and (p, –a) where p and a are real numbers and p ≠ 0. Describe each of the following. Ex
MissTica

Answer:

Part A) The slope is undefined

Part B) The equation of the line is x=p

Part C) None y-intercept

Part D) The slope of a line perpendicular to the given line is equal to zero

Step-by-step explanation:

we have that

Describe

A) slope of the line

B) equation of the line

C) y-intercept

D) slope of a line perpendicular to the given line

Part A) slope of the line

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

(p,a)\ (p,-a)

Substitute the values

m=\frac{-a-a}{p-p}

m=\frac{-2a}{0}  -----> the slope is undefined

Its a vertical line (parallel to the y-axis)

Part B) Equation of the line

we know that

The equation of a vertical line is equal to the x-coordinate of the points through which the line passes.

so

x=p

Part C) The y-intercept

The y-intercept is the value of y when the value of x is equal to zero

The vertical line not intercept the y-axis

so

None y-intercept

Part D) slope of a line perpendicular to the given line

A line perpendicular to the given line is a horizontal line (parallel to the x-axis)

therefore

The slope is equal to zero

6 0
2 years ago
A textbook store sold a combined total 402 of psychology and math textbooks in a week. The number of psychology textbooks sold w
uranmaximum [27]

Answer:

The number of textbooks of each type were sold is <u>134 math </u>and <u>268 psychology </u>books.

Step-by-step explanation:

Given:

Total number of math and psychology textbooks sold in a week is 402.

Now, let the number of math textbooks sold be x.

And, the number of psychology textbooks be 2x.

According to question:

x+2x=402

3x=402

Dividing both sides by 3 we get:

x=134

So, total number of math textbooks were 134 .

And, total number of psychology textbooks were 2x=2\times 134

                                                                                 =268.

Therefore, the number of textbooks of each type were sold is 134 math and 268 psychology books.

4 0
2 years ago
Layla used 0.482 gram of salt in her experiment. Maurice use 0.51 gram of salt. who used the greater amount of salt?
Evgen [1.6K]
0.51 grams is < 0.482, thus Maurice has more salt.
4 0
2 years ago
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