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3 years ago

1. If i have 16 triangles. How many would be needed for me to shade if i had a percentage of 75%.

Mathematics

2 answers:

AVprozaik [17]3 years ago

7 0

75% is equal to 3/4 so 3*16 =48/4 which leaves you with 12
2. 25% is equal to 1/4 so 24/4 leaves you with 6 making that the amount

mezya [45]3 years ago

3 0

1. To get the result we have to find 75% of 16.
75%=0.75
0.75*16=12 - you should shade 12 triangles.
2. Similar situation
25%=0.25
0.25*24=6 - you should shade 6 triangles

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Find the dimensions of the rectangular corral producing the greatest enclosed area given 320 feet of fencing. (Assume that the l

jenyasd209 [6]

Answer:

The dimensions of the rectangular corral producing the greatest enclosed area is a square of 80 ft x 80 ft

Step-by-step explanation:

Let

x -----> the length of the rectangular corral in feet

y -----> the width of the rectangular corral in feet

we know that

The area of the rectangular corral is equal to

$A=xy$ -----> equation A

The perimeter of the rectangular corral is equal to

$P=2(x+y)$

$P=320\ ft$

$320=2(x+y)$

Simplify

$160=(x+y)$

$y=160-x$ -----> equation B

substitute equation B in equation A

$A=x(160-x)$

$A=-x^2+160x$

This is a vertical parabola open downward

The vertex is a maximum

The x-coordinate of the vertex represent the length for the maximum area

The y-coordinate of the vertex represent the maximum area

Convert the quadratic equation in vertex form

$A=-x^2+160x$

Factor -1

$A=-(x^2-160x)$

Complete the square

$A=-(x^2-160x+80^2)+80^2$

$A=-(x^2-160x+80^2)+6,400$

Rewrite as perfect squares

$A=-(x-80)^2+6,400$

The vertex is the point (80,6,400)

$x=80\ ft$

The maximum area is 6,400 ft^2

Find the value of y

$y=160-x$ ----> $y=160-80=80\ ft$

therefore

The dimensions of the rectangular corral producing the greatest enclosed area is a square of 80 ft x 80 ft

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2 years ago

Find f(-2) f(x)=2x^2 - 3x+6 a. 4 b. 8 c. 10 d. 20

Harrizon [31]

I think it should be D

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3 years ago

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Olivia bought some granola bars and spent at least $6.24. Write and solve an equality to find the number of granola bars she bou

marishachu [46]

Answer:

n ≥ 6.24/x

Step-by-step explanation:

Given that :

Amount spent is atleast $6.24

Let price spent = p

p ≥ $6.24

If cost of granola bar = x

The number of granola bars, n purchased will be :

n ≥ 6.24/x

Since cost of granola bar isn't given, we represent it as x.

6 0

2 years ago

Consider a Triangle ABC like the one below. Suppose that C = 98, A = 74, and b = 11 (figure is not drawn to scale.) solve the tr

Degger [83]

Answer:

$A=73.8\°$

$B=8.2\°$

$c=76.3\ units$

Step-by-step explanation:

step 1

Find the measure of side c

Applying the law of cosines

$c^{2}= a^{2}+b^{2}-2(a)(b)cos(C)$

substitute the given values

$c^{2}= 74^{2}+11^{2}-2(74)(11)cos(98\°)$

$c^{2}=5,823.5738$

$c=76.3\ units$

step 2

Find the measure of angle A

Applying the law of sine

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{74}{sin(A)}=\frac{76.3}{sin(98\°)}$

$sin(A)=(74)sin(98\°)/76.3$

$A=arcsin((74)sin(98\°)/76.3)$

$A=73.8\°$

step 3

Find the measure of angle B

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

$A+B+C=180\°$

substitute the given values

$73.8\°+B+98\°=180\°$

$171.8\°+B=180\°$

$B=180\°-171.8\°=8.2\°$

5 0

3 years ago

In Mohammad’s class, 80% of the students are boys. There are 24 boys in the class. What is the total number of students in Moham

irina1246 [14]

Answer:

30 students

Step-by-step explanation:

80% of N = 24 where N is the total number of students

.80 N = 24

N = 24 / .80 = 30

sorry this was a late response

6 0

3 years ago