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3 years ago

Find the GCF for the list.

Mathematics

1 answer:

____ [38]3 years ago

4 0

Answer:

14a⁴b

Step-by-step explanation:

Factors of 28a⁴b⁸c7:

2²×7×a⁴×b⁸×c⁷

Factors of 98a⁵b:

2×7²×a⁵×b

For GCF collect the common factors:

2×7×a⁴×b

GCF = 14a⁴b

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siniylev [52]

Answer:

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Step-by-step explanation:

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3 years ago

If a triangle has a heig of 14 inches and base of 9 inches whats its area?

vlada-n [284]

Answer:

63 inches

Step-by-step explanation:

the formula for the area of a triangle is

a = 1/2 bh

plug in the numbers

a = 1/2(9)(14)

9 times 14 is 126

a = 1/2(126)

half of 126 (or 126 divided by 2)

area = 63 inches

8 0

3 years ago

Triangle DEF (not shown) is similar to ABC shown, with angle B congruent to angle E and angle C congruent to angle F. The length

Bezzdna [24]

Answer:

Area of ΔDEF is $45\ cm^2$ .

Step-by-step explanation:

Given;

ΔABC and ΔDEF is similar and ∠B ≅ ∠E.

Length of AB = $2\ cm$ and

Length of DE = $6\ cm$

Area of ΔABC = $5\ cm^2$

Solution,

Since, ΔABC and ΔDEF is similar and ∠B ≅ ∠E.

Therefore,

$\frac{Area\ of\ triangle\ 1}{Area\ of\ triangle\ 2} =\frac{AB^2}{DE^2}$

Where triangle 1 and triangle 2 is ΔABC and ΔDEF respectively.

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

$\frac{5}{Area\ of\ triangle\ 2} =\frac{2^2}{6^2}\\ \frac{5}{Area\ of\ triangle\ 2}=\frac{4}{36}\\ Area\ of\ triangle\ 2=\frac{5\times36}{4} =5\times9=45\ cm^2$