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postnew [5]
3 years ago
15

What is the value of 324 + 435 + 546 when written in base 7?

Mathematics
1 answer:
Arada [10]3 years ago
6 0
<span>The sum of 324, 435, and 546 is 1305. If this number were to be expressed by the base of 7, we would need to figure out what value of exponent would satisfy the requirement. This can be done by setting up an equation where 7 to the power of x must equal 1305. Using logarithms, one can solve for x and find it to be 3.6866853. Thus the sum of the aforementioned numbers, expressed in by the base of 7, is 7^3.6866853.</span>
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xeze [42]
16= 4*4
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3 years ago
Using the diagram on the right, find the length of GT and TA.
Art [367]

Answer:

GT=10\ units  and TA=6\ units

Step-by-step explanation:

we know that

In the diagram

Triangles GRT and GEA are similar by AA Similarity Postulate

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional

so

\frac{GR}{GE}=\frac{GT}{GA}

we have

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substitute

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therefore

GT=16-x=16-6=10\ units

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5 0
3 years ago
Two angles are supplementary. The larger angle is 15 more than 10 times the smaller angle. FInd the measure of each angle.
garik1379 [7]

\text{Larger angle} =x\\\\\text{Smaller angle} =y\\ \\\text{According to the condition,}\\\\x=10y+15\\\\\text{The two angles are supplementary, so their  sum is}~ 180^{\circ} \\\\x+y=180\\\\\implies 10y+15 +y = 180\\\\\implies 11y = 180-15\\\\\implies 11y=165\\\\\implies y = \dfrac{165}{11}\\\\\implies y = 15\\\\\text{So,} ~x  =180-15 = 165\\\\\text{Hence the larger angle is}~ 165^{\circ}~ \text{and the smaller angle is }15^{\circ}

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Ilia_Sergeevich [38]

Answer:

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