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AysviL [449]
3 years ago
12

PLEASE I need help on these 4 problems you don’t have to do them all but if you can at least do one of them TYSM

Mathematics
1 answer:
Brrunno [24]3 years ago
4 0

Answer:

For right angle triangle,

we use Pythagoras theorem that is:

c^{2} =a^{2} +b^{2}

c = \sqrt{a^{2} +b^{2} }

For question 1:

c = ?

a = 40

b = 9

putting them in formula,

c = \sqrt{40^{2} + 9^{2} }

c = 41

For question 2:

c = ?

a = 12

b = 13

putting them in formula,

c = \sqrt{12^{2} + 13^{2} }

c = approximately 17.69181

For question 3:

c = 35

a = 20

b = ?

putting them in formula,

c^{2} =a^{2} +b^{2}

35^{2} = 20^{2} + b^{2}

1225 = 400 + b^{2}

b^{2} = 1225 - 400

b^{2} = 825

\sqrt{b^{2} } = \sqrt{825}

b = 5 \sqrt{33}

For question 4:

c = 37

a = 20

b = ?

putting them in formula,

c^{2} =a^{2} +b^{2}

37^{2} = 20^{2} + b^{2}

1369 = 400 + b^{2}

b^{2} = 1369 - 400

b^{2} = 969

Taking square root on both sides

b = 31.12

Hope it helps.

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2) Here are two relations defined on the set {a, b, c, d): S= { (a, b), (a, c), (c, d), (c, a)} R={ (b, c), (c, b), (a, d), (d,
Dovator [93]

Answer:

Given relations defined on the set {a, b, c, d},

S= { (a, b), (a, c), (c, d), (c, a)}

R={ (b, c), (c, b), (a, d), (d, b)},

Since, SoR(x) = S(R(x)),

So, SoR(a) = S(R(a)) = S(d) = ∅,

SoR(b) = S(R(b)) = S(c) = d and a,

SoR(c) = S(R(c)) = S(b) = ∅,

SoR(d) = S(R(d)) = S(b) = ∅,

Thus, SoR = { (b,d), (b,a) }

RoS(a) = R(S(a)) = R(b) = c and RoS(a) = R(S(a)) = R(c) = b,

RoS(b) = R(S(b)) = R(∅) = ∅,

RoS(c) = R(S(c)) = R(d) = b and RoS(c) = R(S(c)) = R(a) = d

RoS(d) = R(S(d)) = R(∅) = ∅,

Thus, RoS = { (a, c), (a, b), (c,d), (c, b) },

SoS(a) = S(S(a)) = S(b) = ∅ and SoS(a) = S(S(a)) = S(c) = d and a

SoS(b) = S(S(b)) = S(∅) = ∅,

SoS(c) = S(S(c)) = S(d) = ∅ and SoS(c) = S(S(c)) = S(a) = b and c

SoS(d) = S(S(d)) = S(∅) = ∅,

SoS = { (a, d), (a, a), (c, b), (c, c) }

7 0
3 years ago
Create the numbers from 1 to 40 using only the digits 5, 4, 3, 2, and 1, in that order.
Gnesinka [82]

Answer:

1 = 5 - 4 + 3 - 2 - 1

2 = (5 - 4 + 3 - 2) x 1

3 = (5 + 4) - (3 x 2 x 1)

4 = -5 + 4 + (3 x 2) - 1

5 = -5 + (4 x 3) - 2 x 1

Step-by-step explanation:

8 0
3 years ago
Pythagorean Question
exis [7]
Pythagoras: a squared + b squared = c squared
35^2 (1225) + b squared = 175^2 (30,625)
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square root 29400 = 171.5 cm
3 0
3 years ago
What is the volume of the prism?
SOVA2 [1]

Answer:

148 in³

Step-by-step explanation:

The equation for the volume of a cube is V = a^{3}

Here, a = \frac{1}{3}.

V=\frac{1}{3} ^{3}

V = \frac{1}{27}

So, the volume of each cube is \frac{1}{27} in.

The prism is filled completely with 3996 of these cubes.

3996*\frac{1}{27} = 148

The volume of the prism is 148 in³.

6 0
3 years ago
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