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Mathematics

1 answer:

Ugo [173]2 years ago

4 0

Step-by-step explanation:

1. Perimeter = 2 ( 5+4) = 18 cm

Area = 5 × 4 = 20 cm^2

2. Perimeter = 2 (5+5) = 20 cm

Area = 5 × 5 = 25 cm^2

3. Cups of seed needed per sq. meter = Area of the rectangle backyard

= 6 × 7

= 42 cups of seed

4. Feet of fence needed = Perimeter of the Square garden

= 2(8+8)

= 32 feet

5. Perimeter of rectangular quilt = 2 (4+6) feet

= 20 feet

6. Area of the room = 9 feet × 8 feet

= 72 feet^2

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In the diagram below, P and Q are points on a circle with centre O.

Gnoma [55]

Answer:

Step-by-step explanation:

According to the diagram shown, ∠OPQ = ∠OQP = 18°. If PQT is a tangent to the circle, it can be inferred that line OQ is perpendicular to line QT. Ths shows that ∠OQT = 90°.

Also from the diagram, ∠OQP + ∠PQT = ∠OQT;

∠PQT = ∠OQT - ∠OQP

Given ∠OQP = 18° and ∠OQT = 90°

∠PQT = 90°-18°

∠PQT = 72°

8 0

3 years ago

What is the slope of the line through (2, -1) and (-2, -3)?

prohojiy [21]

$\text{Given that,}\\\\\\(x_1,y_1) = (2,-1)~~\text{and}~~ (x_2,y_2) = (-2,-3)\\\\\\\text{Slope,}~ m =\dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-3+1}{-2-2} = \dfrac{-2}{-4} = \dfrac 12$