The height of a triangle is 90 cm. What lengths of the base will make the area at most 500 cm2 a) {b|b≤11.1¯ cm} b) {b|b<11.1¯ cm} c) {b|

Question

The height of a triangle is 90 cm. What lengths of the base will make the area at most 500 cm2 a) {b|b≤11.1¯ cm} b) {b|b<11.1¯ cm} c) {b|b≥5.5¯ cm} d) {b|b≥11.1¯ cm}

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Ella 2 weeks 2021-09-14T18:18:22+00:00 1 Answer 0

Answers ( )

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    2021-09-14T18:20:09+00:00

    The length of the base is b ≤ 11.1 cm.

    Solution:

    Height of the triangle = 90 cm

    Area of the triangle is at most 500 cm²

    Area of the triangle ≤ 500

    $\frac{1}{2}\times \text{base}\times\text{height} \leq 500

    $\frac{1}{2}\times b\times 90 \leq 500

    b × 45 ≤ 500

    Divide by 45 on both sides.

    $\frac{b \times 45}{45}\leq \frac{500}{45}

    b ≤ 11.11111111 cm

    b ≤ 11.1 cm

    The length of the base is b ≤ 11.1 cm.

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45:7+7-4:2-5:5*4+35:2 =? ( )