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Anvisha [2.4K]
4 years ago
8

+Complete the fraction calculation below 3/8 + 1/6​

Mathematics
2 answers:
frosja888 [35]4 years ago
6 0

Answer:

\frac{13}{24}

Step-by-step explanation:

=> \frac{3}{8} +\frac{1}{6}

LCM = 24

=> \frac{9+4}{24}

=> \frac{13}{24}

AURORKA [14]4 years ago
4 0

Answer:

\frac{13}{24}

Step-by-step explanation:

\frac{3}{8} +\frac{1}{6}

\frac{3 \times 6}{8\times 6} +\frac{1\times8}{6\times8}

\frac{18}{48} +\frac{8}{48}

\frac{18+8}{48}

\frac{26}{48}

\frac{13}{24}=0.54166...

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vladimir2022 [97]

Answer:

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Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Given ΔABC, m∠A = 120°, b = 13 cm, and c= 15 cm. Find the triangle's area. Round to the nearest tenth.
zzz [600]
Refer to the diagram shown below.

m∠A = 120°
b = 13 cm
c = 15 cm

From the Law of Sines, the area of the triangle is
Area = (1/2)*b*c*sin(A)
         = 0.5*13*15*sin(120°)
         = 84.4375 cm²

Answer: 84.4 cm² (nearest tenth)

4 0
3 years ago
. Use the quadratic formula to solve each quadratic real equation. Round
Liono4ka [1.6K]

Answer:

A. No real solution

B. 5 and -1.5

C. 5.5

Step-by-step explanation:

The quadratic formula is:

\begin{array}{*{20}c} {\frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}} \end{array}, with a being the x² term, b being the x term, and c being the constant.

Let's solve for a.

\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {5^2 - 4\cdot1\cdot11} }}{{2\cdot1}}} \end{array}

\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {25 - 44} }}{{2}}} \end{array}

\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {-19} }}{{2}}} \end{array}

We can't take the square root of a negative number, so A has no real solution.

Let's do B now.

\begin{array}{*{20}c} {\frac{{ 7 \pm \sqrt {7^2 - 4\cdot-2\cdot15} }}{{2\cdot-2}}} \end{array}

\begin{array}{*{20}c} {\frac{{ 7 \pm \sqrt {49 + 120} }}{{-4}}} \end{array}

\begin{array}{*{20}c} {\frac{{ 7 \pm \sqrt {169} }}{{-4}}} \end{array}

\begin{array}{*{20}c} {\frac{{ 7 \pm 13 }}{{-4}}} \end{array}

\frac{7+13}{4} = 5\\\frac{7-13}{4}=-1.5

So B has two solutions of 5 and -1.5.

Now to C!

\begin{array}{*{20}c} {\frac{{ -(-44) \pm \sqrt {-44^2 - 4\cdot4\cdot121} }}{{2\cdot4}}} \end{array}

\begin{array}{*{20}c} {\frac{{ 44 \pm \sqrt {1936 - 1936} }}{{8}}} \end{array}

\begin{array}{*{20}c} {\frac{{ 44 \pm 0}}{{8}}} \end{array}

\frac{44}{8} = 5.5

So c has one solution: 5.5

Hope this helped (and I'm sorry I'm late!)

4 0
3 years ago
the area of Alaska is 586400 square miles the area of the Philippines is 114000 square miles how many square miles is the area o
olya-2409 [2.1K]
Multiply 586400 by 11400
5 0
4 years ago
Read 2 more answers
Simplify <img src="https://tex.z-dn.net/?f=%5Csqrt%7B%20%5Cfrac%7B25y%5E2%7D%7B6x%7D" id="TexFormula1" title="\sqrt{ \frac{25y^2
yuradex [85]

Answer:

\frac{5y \sqrt{6x} }{6x}

Step-by-step explanation:

\sqrt{ \frac{25y^2}{6x}} \\  \\  =  \frac{5y}{ \sqrt{6x} }  \\  \\  =  \frac{5y \sqrt{6x} }{ \sqrt{6x}  \times  \sqrt{6x} }  \\  \\  =  \frac{5y \sqrt{6x} }{6x}

4 0
3 years ago
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