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Nana76 [90]
3 years ago
5

I need the answer to this please thank you

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
6 0

Answer:

m(\widehat{WXZ}) = 160°

Step-by-step explanation:

By angle sum postulate,

m∠WYX + m∠XYZ = m∠WYZ

m∠WYZ = 50° + 30°

              = 80°

Since, inscribes angle (∠WYZ) = \frac{1}{2}\times (\text{Intercepted arc WXZ})

80° = \frac{1}{2}(\widehat{WXZ})

m(\widehat{WXZ}) = 160°

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Find the x-intercepts for the parabola defined
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Answer:

(- 2, 0 ), (1, 0 )

Step-by-step explanation:

Given

y = 2x² + 2x - 4

To find the x- intercepts let y = 0, that is

2x² + 2x - 4 = 0 ← divide through by 2

x² + x - 2 = 0 ← in standard form

(x + 2)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 1 = 0 ⇒ x = 1

Thus x- intercepts are (- 2, 0) and (1, 0)

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3 years ago
A triangle has two sides of lengths 7 and 12 what value could the third side be?
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3 years ago
I don't understand how to work this
slamgirl [31]
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3 years ago
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of the 376 pairs of shoes sold at foot locker this weekend, 127 of them were jordans. what is the ratio of the other shoes to jo
borishaifa [10]
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The cost of levelling a rectangular field at
Law Incorporation [45]

Answer:

The perimeter of a rectangular field is 100 meters

Step-by-step explanation:

The given data of the rectangular field are;

The unit cost of levelling the rectangular field, U_c = 50/m²

The total cost of levelling the field, T_c = 30,000

The length to breadth ratio of the field, L:B = 3:2

Where;

L = The length of the field

B= The breadth of the field

From the given data of the field, we have;

The area of the field, A = T_c/U_c

∴ A = 30,000/(50/m²) = 600 m²

The area of the field, A = 600 m²

The formula for the area of a rectangle, A = Length, L × Breadth, B

A = L × B

We are given that the length to breadth ratio of the field, L:B = 3:2

∴ L/B = 3/2

L = (3/2) × B

The area of the rectangular field, A = L × B

∴ The area of the rectangular field, A = (3/2) × B × B = (3/2) × B²

A = (3/2) × B²

From the calculation for the cost of levelling the field, we have, A = 600 m²

∴ A = (3/2) × B²

A = 600 m²

By transitive property, we have;

(3/2) × B² = 600 m²

B² = (2/3) × 600 m² = 400 m²

B = √(400 m²) = 20 m

The breadth of the field, B = 20 m

From L = (3/2) × B, we have;

L = (3/2) × B

∴ L = (3/2) × 20 m = 30 m

∴ The  length of the field, L = 30 m

The perimeter, 'P', of a rectangle given the length, 'L' and breadth, 'B', is given as follows;

The perimeter of a rectangle, P = 2·L + 2·B

Therefore, for the rectangular field, we have;

P = 2 × 30 m + 2 × 20 m = 60 m + 40 m = 100 m

The perimeter of a rectangular field, P = 100 m.

5 0
3 years ago
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