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Andrews [41]
3 years ago
8

Help a pimp out with this geometry

Mathematics
1 answer:
Katen [24]3 years ago
6 0

Using the Pythagoras theorem since it is given that it is a right angled triangle


  let us name the triangle as A, B, C  with B as right angle

   AB^2 + BC^2 = AC^2   ( Pythagoras theorem)

   where AB = 4  , BC = 7 , AC = x

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Susan makes 5 fruit cups for the picnic. In each cup, she has 5 strawberries and 3 kiwi. Joanna uses the same number of total fr
vaieri [72.5K]

Answer:

Susan makes 5 fruit cups

each fruit cup has 5 strawberries and 3 kiwis

so the number of strawberries used is - 5 x 5 = 25 strawberries

and the number of kiwis used - 5 x 3 = 15 kiwis

so the total number of fruits - 25 + 15 = 40 fruits

Joanna uses 40 fruits to make 4 fruit cups

each cup she uses 8 strawberries

therefore total number of strawberries she uses - 8x 4 = 32 strawberries

she has 40 fruits in total and 32 of those are strawberries

the rest are kiwis

number of kiwis = 40 -32 = 8

8 kiwis are there and she has to make 4 cups

so for each cup number of kiwis = 8 / 4 = 2

so each cup has 2 kiwis

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. x-2y+
Alekssandra [29.7K]

Answer:

x = -5, y = -6, z = -3

Step-by-step explanation:

Given the system of three equations:

\left\{\begin{array}{l}x-2y+3z=-2\\6x+2y+2z=-48\\x+4y+3z=-38\end{array}\right.

Write the augmented matrix for the system of equations

\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)

Find the reduced row-echelon form of the augmented matrix for the system of equations:

\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)\sim \left(\begin{array}{ccccc}1&-2&3&|&-2\\0&-14&16&|&36\\0&-6&0&|&36\end{array}\right)\sim \left(\begin{array}{ccccc}1&3&-2&|&-2\\0&16&-14&|&36\\0&0&-6&|&36\end{array}\right)

Thus, the system of three equations is

\left\{\begin{array}{r}x+3z-2y=-2\\16z-14y=36\\-6y=36\end{array}\right.

From the last equation:

y=-6

Substitute it into the second equation:

16z-14\cdot (-6)=36\\ \\16z=36-84\\ \\16z=-48\\ \\z=-3

Substitute y = -6 and z = -3 into the first equation:

x+3\cdot (-3)-2\cdot (-6)=-2\\ \\x=-2+9-12\\ \\x=-5

7 0
3 years ago
Simplify the following<br>(x-y)²​
Elanso [62]

Answer:

x^{2} -2xy+y^{2} \

Step-by-step explanation:

6 0
3 years ago
If the measure of ZB is 40°, what measures can ZA and
lubasha [3.4K]

Answer: 30° and 110°

55° and 85°

70° and 70°

The sum of angles in a triangle is 180°. Therefore, since an angle has been given as 40°, the remaining angles will be:

= 180° - 40°

= 140°

Therefore,

30° + 110° = 140°

55° + 85° = 140°

70° + 70° = 140°

5 0
2 years ago
Suppose f and g are continuous functions such that g(2) = 6 and lim x → 2 [3f(x) + f(x)g(x)] = 36. find f(2).
True [87]

Answer: f(2) = 4

Step-by-step explanation:

F(x) and g(x) are said to be continuous functions

Lim x=2 [3f(x) + f(x)g(x)] = 36

g(x) = 2

Limit x=2

[3f(2) + f(2)g(2)] = 36

[3f(2) + f(2) . 6] = 36

[3f(2) + 6f(2)] = 36

9f(2) = 36

Divide both sides by 9

f(2) = 36/9

f(2) = 4

7 0
3 years ago
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