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Serggg [28]
3 years ago
12

A. If x:y= 3:5, find = 4x + 5 : 6y -3​

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
8 0

Answer:

17 : 27

Step-by-step explanation:

x=3

y=5

4(3)+5 : 6(5)-3

= 12+5 : 30-3

= 17 : 27

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The right rectangular prism will be sliced perpendicular to its base along the dashed line.
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If you slice it down the dotted line, you will have a rectangle with a width of 2 and a length of 4.

The area of the rectangle will be 8 square centimeters.
2 x 4 = 8
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Which expression is equivalent to 4√x^10<br><br>x^2(4√x^2) <br>x^2.2 <br>x^3(4√x)
kotykmax [81]

\sqrt[n]{a^m}=\a^\frac{m}{n}


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Used:\\\\a^n\cdot a^m=a^{n+m}

4 0
3 years ago
The exterior angle of a triangle is 119° and its interior opposite angle are in the ratio 8:9. Find the angle of a triangle
erastovalidia [21]

Answer:

see explanation

Step-by-step explanation:

the ratio of the opposite interior angles = 8 : 9 = 8x : 9x

The exterior angle of a triangle = sum of the opposite interior angles, hence

8x + 9x = 119

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x = 7

8 parts = 8x = 8 × 7 = 56

9 parts = 9x = 9 × 7 = 63

The sum of the 3 angles in a triangle = 180°

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180° - (56 + 63)° = 180° - 119° = 61°

The 3 angles of the triangle are 56°, 61°, 63°


8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%2F7%7D%7B7%5Csqrt%7B10%7D%2F2%20%7D" id="TexFormula1" title="\frac{3/7}{7\sqrt{10}
VashaNatasha [74]

Multiply the numerator and denominator by 7×2 = 14 to eliminate the denominators of those fractions:

\dfrac{\dfrac37}{\dfrac{7\sqrt{10}}2}\times\dfrac{14}{14}=\dfrac{3\times2}{7\sqrt{10}\times7}=\dfrac6{49\sqrt{10}}

Rationalize the denominator by multiplying both numerator and denominator by √10:

\dfrac6{49\sqrt{10}}\times\dfrac{\sqrt{10}}{\sqrt{10}}=\dfrac{6\sqrt{10}}{49(\sqrt{10})^2}=\dfrac{6\sqrt{10}}{49\times10}=\dfrac{6\sqrt{10}}{490}

Lastly, cancel the common factor of 2 in both the numerator and denominator (which comes from 6 = 2×3 and 490 = 2×245):

\dfrac{6\sqrt{10}}{490}=\dfrac{3\sqrt{10}}{245}}

8 0
3 years ago
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Alja [10]

Answer: 2/3

Step-by-step explanation:

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