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2 years ago

Please help me that is the volume???

Mathematics

1 answer:

MatroZZZ [7]2 years ago

5 0

Let us first find the hieght of the triangle:

= 16² = p² + 8²

= 256 = p² + 64

= 256 - 64 = p²

= √192 = p

= 13.85 = p

Area of equilateral trianglular prism:

= ⅓× l² × h

Here, l = length of side and h is height

= ⅓ × 16² × 13.85

= 256 × 13.85 × ⅓

= 1181.86 cm³

= 1182 cm³ (approx)

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Answer:

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Step-by-step explanation:

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2 years ago

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Method 1:

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Method 2.

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3 years ago

The sum of the measures of angle M and angle R is 90°.

denis23 [38]

Answer:

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Step-by-step explanation:

We have: The sum of the measures of angle M and angle R is 90°

M + R = 90°

M = (5x + 10)°

Plug M into (1)

the equation: (5x + 10)° + R = 90° (2)

R=55° into (2)

(5x + 10)° + 55° = 90°

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2 years ago

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2 years ago

lara31 [8.8K]

Answer:

Step-by-step explanation:

Given the points J (1,-10) and K (7, 2)

From the section formula

$(x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)$

The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is obtained using the formula:

$y=\dfrac{my_2+ny_1}{m+n}\\m=5, n=1, y_1=-10, y_2=2\\Therefore:\\y=\dfrac{5*2+1*-10}{5+1}\\=\dfrac{10-10}{6}\\=0$

The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

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3 years ago