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MariettaO [177]
3 years ago
5

What is the solution to the following system?

Mathematics
1 answer:
Orlov [11]3 years ago
3 0

\left\{\begin{array}{ccc}-2x-y=1&|\cdot(-2)\\-4x-2y=-1\end{array}\right\\\underline{+\left\{\begin{array}{ccc}4x+2y=-2\\-4x-2y=-1\end{array}\right}\ \ \ |\text{add both sides}\\.\ \ \ \ \ 0=-3\ \ \ FALSE\\\\Answer:\ B.\ no\ solutions

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Can someone help.
r-ruslan [8.4K]

Answer:

m∠C = 38°  (nearest whole number).

Step-by-step explanation:

To find the missing angle, use the Sine Rule.

<u>Sine Rule</u> (for angles)

\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}

where:

  • A, B and C are the angles
  • a, b and c are the sides opposite the angles

Given:

  • A = 53°
  • a = 18
  • c = 14

To find m∠C, substitute the given values into the formula and solve for C:

\implies \sf \dfrac{\sin 53^{\circ}}{18}=\dfrac{\sin C}{14}

\implies \sf \sin C= \dfrac{14 \sin 53^{\circ}}{18}

\implies \sf C= \sin^{-1} \left( \dfrac{14 \sin 53^{\circ}}{18}\right)

\implies \sf C= 38.40096301...^{\circ}

Therefore, m∠C = 38°  (nearest whole number).

Learn more about the sine rule here:

brainly.com/question/27089170

brainly.com/question/27704834

5 0
2 years ago
Identify the diameter of the disc. HELP ASAP!!
Hoochie [10]

Answer:

9 in

Step-by-step explanation:

The diameter of a circle is a chord or line that passes through the center point of a circle. It's like a radius, except the line extends to the other side

Hope this helps!

JoeyHill

7 0
3 years ago
A cube has a volume of 343 cubic cm. What is the area of the base
Amanda [17]

Answer:

49 cm²

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ← s is the length of the side, thus

s³ = 343 ( take the cube root of both sides )

s = \sqrt[3]{343} = 7, thus

area of base = s² = 7² = 49 cm²

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Mai Has picked one cup of strawberries for cake, which is enough for 3/4 of the cake. How many cups does she need for the whole
Anettt [7]
She needs another quarter cup of strawberries
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Whats 8/16 in decimal form
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I believe the answer is
.5
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