Jaime wants to know how fast she can type, so she times herself as she types a paper. The paper has 429 words in it, and Jaime t
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ANSWER
45.6cm to the nearest tenth.
EXPLANATION
The diagonal of the rectangular painting is 62cm.
The height of the painting is 42 cm.
The height of the painting h , the diagonal, and the width of the painting forms a right triangle with the diagonal being the hypotenuse.
From the Pythagoras Theorem,
The width of the painting is 45.6cm to the nearest tenth.
ANSWER
The smaller angle is
.EXPLANATION
Let the angles be
where y is the smaller angle.
Since they are supplementary, they will add up to 180°.
This implies that,
If one angle is 4 times the other, we can then write the following equation,
We put equation (2) into equation (1) to get,
We divide through by 5 to obtain,
This implies that,
The smaller angle is
.EXPLANATION
Let the angles be
where y is the smaller angle.
Since they are supplementary, they will add up to 180°.
This implies that,
If one angle is 4 times the other, we can then write the following equation,
We put equation (2) into equation (1) to get,
We divide through by 5 to obtain,
This implies that,