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kari74 [83]
3 years ago
13

BRAINIST & 30 POINTS

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
7 0

Answer:

DF= 33

Step-by-step explanation:

The ratio is equal to 6:5:1 Which can be changed into 18:15:3

Since DE=18 and EF=15 you simply add and = 33

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The base of the pyramid is a square what is the surface area if the pyramids height is 4 feet in the area of the base is 36 ft.?
KATRIN_1 [288]

Answer:

96 ft²

Step-by-step explanation:

The general formula for the surface area of a pyramid is:  

SA = \frac{1}{2}pl + B, were p = the perimeter of the base, l = the slant height and B = the area of the base

Since the area of the base is 36 ft², then each side is √36, or 6 ft. The perimeter is the sum of all the sides, so 6 x 4 = 24 ft.

Given the overall height of the pyramid is 4 feet, you can use the Pythagorean Theorem (a² + b² = c²) to find the slant height (hypotenuse) of the pyramid.  Using 3 feet for 'a' and 4 feet for 'b':

3² + 4² = c² or 9 + 16 = 25

25 = c² or c = 5

SA =  \frac{1}{2}(24)(5) + 36

SA = 60 + 36 = 96 ft²

8 0
3 years ago
If a = 5^x, b = 5^y and a^y×b^x = 25 then prove that: xy =1​
avanturin [10]

a =  {5}^{x}  \\ b =  {5}^{y}  \\  {a}^{y}  \times  {b}^{y}  = 25 \\ prove \: ( {5}^{x} )^{y}  \times ( {5}^{y} ) ^{x}  = 25 \\  {5}^{xy}  \times  {5}^{yx}  = {5}^{2} \\  {5 }^{xy + yx}  = 5^{2}  \\ 5^{2xy}  =  {5}^{2} \\ is \:  \: 2xy = 2 \\ xy =  \frac{2}{2}  \\ xy = 1

3 0
3 years ago
Hamburger heaven is having a lunch special where customers buy one 3/4 pounds cheese burger and get one free if they set aside 1
Yuri [45]

Answer:

49

Step-by-step explanation:

49 hamburguers (of 3/4 pound)

Step-by-step explanation:

3/4 pound is equal to 0.75 pound

37 1/3 pounds of meat is equal to

37 + 1/3 pound =  37.3333 pounds

To find how much hamburguers can be made, we need to divide

37.3333 pounds/ 0.75 pounds

37.3333 pounds/ 0.75 pounds = 49.777777

(We need to round to the lowest number)

This means that 49 hamburguers could be made

Plz mark brainliest

5 0
3 years ago
The cost of 3 burritos is $22.50. If the cost is proportional to the number of burritos ordered,which of the following prices is
Assoli18 [71]

Answer:

A. 7 burritos for $51.50

Step-by-step explanation:

22.50/3=7.50

1 burrito cost $7.50

2 burritos will cost $15.00

2×7.50=15

5 burritos will cost $37.50

5×7.50=37.50

4 burritos will cost $30.00

4×7.50=30.00

However, 7 burritos will not cost $51.50 because 7×7.50=52.50 not 51.50

3 0
3 years ago
Which is greater -0.25 or 0.8
GrogVix [38]
0.8 is greater because it is a positive number.. 
5 0
3 years ago
Read 2 more answers
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