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Alex Ar [27]
3 years ago
7

Plz help! Don’t understand this question

Mathematics
1 answer:
solniwko [45]3 years ago
7 0

Answer:

11.91

Step-by-step explanation:

The question says there is a new line that connects V and T. If this line is drawn, the diagram would have a right-angle triangle. This triangle is called TUV.

In triangle TUV, the side length created by the points VT is the hypotenuse.

For right-angle triangles, you can use the Pythagorean theorem to find any side.

It's in the format side² + side² = hypotenuse².

To use the formula, you need to know the length of the other two sides. The length of these sides, because they are exactly horizontal or vertical, is found by subtracting the smaller coordinate from the other (that is not the same).

The lengths of other sides:

VU:

-3 is the same. The length is 3.5 - (-5.75) = 9.25

UT:

-5.75 is the same. The length is 4.5 - (-3) = 7.5

Substitute the lengths into the Pythagorean theorem:

a² + b² = c²

9.25² + 7.5² = c²  Simplify

141.8125 = c²  Find the square root of both sides to isolate c

c = 11.91  Final answer, length of VT

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Find the volume of the figure.
NARA [144]

Answer:

Step-by-step explanation:

Volume of the figure = Volume of cone + Volume of hemisphere

Cone:

height h = 33 m

Diameter = 30m

Radius r = 30/2 = 15 m

Volume of Cone:

=\frac{1}{3}\pi r^{2}h\\\\=\frac{1}{3}\pi*15*15*33\\\\=\pi*15*15*11\\\\=2475\pi m^{2}

Hemisphere:

Radius r = 15 m

Volume of Hemisphere =

=\frac{2}{3}\pi*r^{3}\\\\=\frac{2}{3}\pi*15*15*15\\\\=2*\pi*5*15*15\\\\=2250\pi

Volume of the figure = 2475π + 2250π = 4725π m²

                         

3 0
3 years ago
A shopper pushes a cart 50 m south down one aisle and then turns 90.0° west and moves 23 m. He then makes another 90.0° turn and
irga5000 [103]

Answer:

Step-by-step explanation:

Given

Shopper pushes a cart 50 m south down then turns 90 ^{\circ}  west and moves 23 m.

he then makes 90^{\circ} turn and moves 14 m

(a)Largest possible displacement is when he turns towards south

Net displacement=\sqrt{64^2+23^2}=68.0 m

(b)Smallest displacement when he turns towards north

=\sqrt{36^2+23^2}

=\sqrt{1825}=42.72 m

6 0
3 years ago
-4<img src="https://tex.z-dn.net/?f=%5Cgeq" id="TexFormula1" title="\geq" alt="\geq" align="absmiddle" class="latex-formula">4(6
Ivan
-4 _> 4(6y-12)-2y

first distribute/ simplify the equation
-4 _> 24y-48-2y

then combine like terms
-4 _> 22y-48

solve for y

-4 _> 22y-48
44 _> 22y
2 _> y

so the answer is y <_ 2 ( y is less than or equal to 2)
4 0
3 years ago
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Reil [10]

Answer:

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Step-by-step explanation:

1.5 and 10 are like terms, so you need to put them together and keep x on one side by itself. This means that you need to subtract 1.5. The new equation will be .75x = 8.5. Then, you divide by .75. This will then give you the final result, x = 11.3 repeated

6 0
3 years ago
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Answer:

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Step-by-step explanation:

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