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Mathematics

1 answer:

WITCHER [35]2 years ago

8 0

The answer to this question is £155

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Point (8 5) was translated as follows (8 5) (2.9) A student wrote the algebraic rule to desenbe the translation

MAVERICK [17]

Answer:

Step-by-step explanation:

8 0

3 years ago

Line AB has endpoints A(3,4) and B(-2,8). What is AB to the nearest tenth

Nadya [2.5K]

Answer:

6.4

Step-by-step explanation:

To find the distance you have to do this formula.

$\sqrt{(x2 -x1)^{2}+(y2-y1)^{2}} \\\sqrt{(-2 -3)^{2} + (8-4)^{2}\\} \\\sqrt{(-5)^{2} + (4)^{2}} \\\sqrt{25 + 16} \\\sqrt{41} \\ \\\sqrt{41} = 6.40312\\6.4$

6.4 is the answer rounded to the nearest tenth.

Hope this helps!!

3 0

3 years ago

3. A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round

Mariana [72]

The volume of the prop is calculated to be 2,712.96 cubic inches.

<u>Step-by-step explanation:</u>

Step 1:

The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying $\frac{1}{3}$ with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 9 inches and the height is 14 inches.

The volume of the cone : $V=\pi r^{2} \frac{h}{3}$ = $3.14 \times 9^{2} \times \frac{14}{3}$ = 1,186.92 cubic inches.

Step 3:

The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying $\frac{4}{3}$ with π and the cube of the radius (r³).