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slava [35]
3 years ago
7

1. A rectangular picture 6cm by 8cm is enclosed by a frame 1/2cm wide. Calculate the area of the frame. A.15sq cm B. 20 sq cm C.

13 sq cm D. 16 sq cm E. 17​
Mathematics
1 answer:
pshichka [43]3 years ago
5 0

Answer:

The area of 1/2 cm wide frame = 48 - 35 = 13 cm²

Step-by-step explanation:

Length of rectangular picture frame = 6 cm

Width of rectangular picture frame = 8 cm

Area of rectangular picture frame = 6×8 cm² = 48 cm²

Length, excluding 1/2 cm wide frame of rectangular picture = (6–1/2-1/2) = 5 cm

Width, excluding 1/2 cm wide frame of rectangular picture = (8–1/2-1/2) = 7 cm

Area, excluding 1/2 cm wide frame of rectangular picture = 5×7 cm² = 35 cm²

Area of 1/2 cm wide frame = 48 - 35 = 13 cm²

Therefore, the area of 1/2 cm wide frame = 48 - 35 = 13 cm²

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Likurg_2 [28]

Answer:

The measures of angles of triangle EFQ are

1) m\angle EFQ=100\°

2) m\angle FEQ=66\°

3) m\angle EQF=14\°

Step-by-step explanation:

step 1

Find the measure of arc QD

we know that

The inscribed angle is half that of the arc it comprises.

m\angle DFQ=\frac{1}{2}(arc\ QD)

substitute the given value

10\°=\frac{1}{2}(arc\ QD)

20\°=(arc\ QD)

arc\ QD=20\°

step 2

Find the measure of arc FQ

we know that

arc\ QD+arc\ FQ+arc\ EF=180\° ---> because ED is a diameter (the diameter divide the circle into two equal parts)

substitute the given values

20\°+arc\ FQ+28\°=180\°

arc\ FQ=180\°-48\°=132\°

step 3

Find the measure of angle EFQ

we know that

The inscribed angle is half that of the arc it comprises.

m\angle EFQ=\frac{1}{2}(arc\ QD+arc\ ED)

substitute the given value

m\angle EFQ=\frac{1}{2}(20\°+180\°)=100\°

step 4

Find the measure of angle FEQ

we know that

The inscribed angle is half that of the arc it comprises.

m\angle FEQ=\frac{1}{2}(arc\ FQ)

substitute the given value

m\angle FEQ=\frac{1}{2}(132\°)=66\°

step 5

Find the measure of angle EQF

we know that

The inscribed angle is half that of the arc it comprises.

m\angle EQF=\frac{1}{2}(arc\ EF)

substitute the given value

m\angle EQF=\frac{1}{2}(28\°)=14\°

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гафу итегез, мин ярдәм итә алмыйм

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Answer:

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