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Lesechka [4]
3 years ago
11

A tea infuser in the shape of a right rectangular pyramid is 7.9 cm tall and has a base 3 cm long and 1.5 cm wide. To make the b

est tea, the infuser should be 80% filled with tea. What is the volume of tea needed to fill the infuser to 80% of its capacity?
Mathematics
1 answer:
kaheart [24]3 years ago
4 0

Answer:

  • 28.44 cm³

Step-by-step explanation:

<u>Full volume is:</u>

  • V = lwh
  • V = 3*1.5*7.9 = 35.55 cm³

<u>Volume of tea required:</u>

  • 35.55*80/100 = 28.44 cm³
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marissa [1.9K]

Answer:

AB = 10.06 cm

Step-by-step explanation:

Consider the given figure,

We have to find the length of side AB.

Lets rename the figure first, ABCD forms a rectangle. So , CB = DA = 12 cm

Also, EA = ED +DA ⇒ 15 = ED + 12 ⇒ ED = 15 - 12 ⇒ ED = 3 cm

Pythagoras theorem states that in a right triangle the sum of square of base and perpendicular is equal to square of hypotenuse.

Using, Pythagoras Theorem on Δ EDC,

(EC)^2=(ED)^2+(DC)^2

ED = 3 cm , EC = 10.5, Substitute, we get,

\Rightarrow (10.5)^2=(3)^2+(DC)^2

Solve for DC, we get,

\Rightarrow 110.25=9+(DC)^2

\Rightarrow 110.25-9=(DC)^2

\Rightarrow (DC)^2=101.25

\Rightarrow DC=\sqrt{101.25}

\Rightarrow DC=10.06

Since, ABCD is a rectangle. Thus, DC = AB

Hence, AB = 10.06 cm

7 0
3 years ago
Read 2 more answers
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kaheart [24]

Answer:

48

Step-by-step explanation:

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3 years ago
Which equation describes a line parallel<br> to y= 4x+ 5 through point (-2, 1)?
Tema [17]

Hi there!

For a line to be PARALLEL, it must contain the same slope.

The given line has a slope of 4, so we can use the point-slope formula to solve:

\large\boxed{y - y_1 = m(x - x_1)}

y1 = y-coordinate of given point

x1 = x-coordinate of given point

m = slope

Plug in the values:

y - 1 = 4(x - (-2))\\\\y - 1 = 4(x + 2)

Simplify:

y - 1 = 4x + 8\\\\\boxed{y = 4x + 9}

8 0
2 years ago
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amm1812

Answer:

x = 11

Step-by-step explanation:

C is the circumcenter of \triangle PQR

\implies PC=QC=RC (Radii of same circle)

\implies RC=QC

\implies 5x-15=51-x

\implies 5x +x=51+15

\implies 6x =66

\implies \: x =  \frac{66}{6}  \\  \\  \implies \:  \huge \:  \red{x = 11}

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3 years ago
Select the choice that has like terms.
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I believe it’s the second one because it’s the only one that has the same variable.
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