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2 years ago

The diagram shows a triangle. 13.4 cm 7.6 cm Work out the area of the triangle.

Mathematics

1 answer:

Xelga [282]2 years ago

3 0

Answer:

Area of the triangle = 12.92 cm²

Step-by-step explanation:

Area of a triangle = $\frac{1}{2}(\text{Base})(\text{Height})$

From the figure attached,

Length of base of the triangle = 7.6 cm

Length of the height of the triangle = 3.4 cm

Area of the triangle = $\frac{1}{2}(7.6)(3.4)$

= 12.92 square cm

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Determine whether the given equation has one solution, no solution, or infinitely many solutions.

ella [17]

Answer:

No solution

Step-by-step explanation:

Simplify the left side.

− 3 x − 10 =3 ( 3 − x )

Simplify

3 ( 3 − x ).

− 3 x − 10 = 9 − 3 x

Move all terms containing x to the left side of the equation.

− 10 = 9

Since

− 10 ≠ 9 , there are no solutions.

No solution

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Step-by-step explanation:

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What is 50,000 times 10 to the 15th

Misha Larkins [42]

Remember property of exponents
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8 0

3 years ago

Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min, and its coarseness is such that it forms a pile in the shap

pogonyaev

Answer:

Rate of increase in height = $\frac{dh}{dt}=0.3156ft/min$

Step-by-step explanation:

we know that volume of a cone is given by

$V=\frac{1}{12}\pi d^{2}h$

It is Given that diameter equals height thus we have

$V=\frac{1}{12}\pi h^{2}h\\\\V=\frac{1}{12}\pi h^{3}$

Differentiating both sides with respect to time we get

$\frac{dV}{dt}=\frac{1}{12}\pi \frac{dh^{3}}{dt}\\\\\frac{dV}{dt}=\frac{1}{12}\pi(3h^{2}\frac{dh}{dt})$

Applying values and solving for $\frac{dh}{dt}$ we get

$\frac{dh}{dt}=\frac{12\frac{dV}{dt}}{3\pi h^{2}}\\\\\frac{dh}{dt}=0.3156ft/min$

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3 years ago

Pls help me guys, I’d really appreciate it

trapecia [35]

Answer:

∠ PQR = 70°

Step-by-step explanation:

The tangent- tangent angle PQR is half the difference of the intercepted arcs.

minor arc PR = 360° - 250° = 110°

Then

∠ PQR = $\frac{1}{2}$ (250 - 110)° = $\frac{1}{2}$ × 140° = 70°

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3 years ago