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Veseljchak [2.6K]
3 years ago
9

Lara created a 15-pound platter of three different types of cookies for a banquet. The peanut butter cookies sell for $2 per pou

nd, the sugar cookies sell for $3 and the chocolate chip cookies sell for $3.60 per pound. The entire platter is worth $40. The quantity of peanut butter cookies was 3 more than chocolate chips. How many pounds of each cookie was there. Answered with a chart.
Mathematics
1 answer:
Bond [772]3 years ago
5 0

Answer:

peanut butter cookies:8

sugar cookies:2

chocolate chip cookies:5

ratio: 4:1:2.5

Step-by-step explanation:

x=peanut butter cookies

y=sugar cookies

a=chocolate chip cookies

40=2x+3y+3.6a

15=x+y+a

x=a+3

15=(a+3)+y+a

y=12-2a

40=2(a+3)+3(12-2a)+3.6a

a=5

x=8

y=2

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Perimeter of an isosceles triangle is 90 m. If the length of the two equal sides is three fourth of the unequal side , find the
Sveta_85 [38]

Answer:

The length of the equal side is 27 meters each and that of the unequal side is 36 meters

Step-by-step explanation:

An isosceles triangle is a triangle with two sides being equal (also two equal base angles).

Let us assume the length of the two equal sides to be x meters each, and the length of the unequal side to be y meter. Since the perimeter of the triangle is 90 m, it can be expressed as:

x + x + y = 90

2x + y = 90

But the length of the equal side is  three fourth of the unequal side, i.e x = 3/4y

Therefore:

2(3/4y) + y = 90

3/2y + y = 90

2.5y = 90

y = 90/2.5

y = 36 meters

Also x = 3/4 * 36 = 27 meters

The length of the equal side is 27 meters each and that of the unequal side is 36 meters

5 0
3 years ago
Need answer asap!!!!!<br><br> how would i solve this?
lesya [120]

The height of the building to the nearest tenth of a meter is; 13 m

<h3>How to make use of Cosine Rule?</h3>

The slant line from the top of Trevor's head to the base of the building is gotten from Pythagoras theorem;

15/x = sin 36°

x = 15/sin 36

x = 25.52 m

Angle between that slant line and base of building is;

90 - tan⁻¹(1.5/14) = θ

θ = 83.88°

Remaining angle of the bigger triangle is;

180 - (36 + 83.88) = 60.12°

Thus, if the height of the building is h, then;

h/sin 36 = 25.52/sin 60.12

h = 13 m

Read more about Cosine Rule at; brainly.com/question/4372174

#SPJ1

5 0
2 years ago
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