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Harman [31]
3 years ago
7

List the sides of the triangle in order from shortest to longest.

Mathematics
2 answers:
olchik [2.2K]3 years ago
5 0

Answer:

MN < NO < OM

Step-by-step explanation:

∡ M = 180 -45-75=60°

45° opposite side - MN - shortest side

75° opposite side - OM - longest side

60° opposite side - NO

MN < NO < OM

katen-ka-za [31]3 years ago
3 0

Answer:

Angle M = 120 degrees

Shortest side = MN

Middle Side = MO

Longest side = ON

Step-by-step explanation:

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Can someone help me please
nataly862011 [7]

Answer:

D is 90 E is 81 F is 99

Step-by-step explanation:

D is 90 because a straight angle equals 180 degrees. E is 81 because it is directly across from 81. F is 99 because 180-81 is 99

7 0
2 years ago
Write x2 - 8x - 3 in vertex form.
crimeas [40]
Vertex form:

y = a(x - h)² + k

I have not learned this stuff yet, but by using online calculators, I can determine that the vertex form is:

Y = (x - 4)² - 19

I believe so :/
6 0
3 years ago
Determine the singular points of the given differential equation. Classify each singular point as regular or irregular. (Enter y
ludmilkaskok [199]

Answer:

Step-by-step explanation:

Given that:

The differential equation; (x^2-4)^2y'' + (x + 2)y' + 7y = 0

The above equation can be better expressed as:

y'' + \dfrac{(x+2)}{(x^2-4)^2} \ y'+ \dfrac{7}{(x^2- 4)^2} \ y=0

The pattern of the normalized differential equation can be represented as:

y'' + p(x)y' + q(x) y = 0

This implies that:

p(x) = \dfrac{(x+2)}{(x^2-4)^2} \

p(x) = \dfrac{(x+2)}{(x+2)^2 (x-2)^2} \

p(x) = \dfrac{1}{(x+2)(x-2)^2}

Also;

q(x) = \dfrac{7}{(x^2-4)^2}

q(x) = \dfrac{7}{(x+2)^2(x-2)^2}

From p(x) and q(x); we will realize that the zeroes of (x+2)(x-2)² = ±2

When x = - 2

\lim \limits_{x \to-2} (x+ 2) p(x) =  \lim \limits_{x \to2} (x+ 2) \dfrac{1}{(x+2)(x-2)^2}

\implies  \lim \limits_{x \to2}  \dfrac{1}{(x-2)^2}

\implies \dfrac{1}{16}

\lim \limits_{x \to-2} (x+ 2)^2 q(x) =  \lim \limits_{x \to2} (x+ 2)^2 \dfrac{7}{(x+2)^2(x-2)^2}

\implies  \lim \limits_{x \to2}  \dfrac{7}{(x-2)^2}

\implies \dfrac{7}{16}

Hence, one (1) of them is non-analytical at x = 2.

Thus, x = 2 is an irregular singular point.

5 0
3 years ago
The ratio of the heights of two similar cylinders is 1:3. If the volume of the smaller cylinder is 67cm cubed, find the volume o
irina1246 [14]

Answer:

volume = 1809 cm³

Step-by-step explanation:

The ratio of the height of two similar cylinder is 1:3 . The volume of the smaller cylinder is 67 cm³. The volume of the larger cylinder can be computed below:

If 2 object are similar and the ratio of the corresponding sides is x ,then the ratio of their volume is x³.

ratio of height = 1/3

ratio of volume = (1/3)³ = 1/27

volume of smaller cylinder/volume of larger cylinder = 1/27 = 67/x

where

x = volume of the larger cylinder

x = 27 × 67

x = 1809  cm³

volume = 1809 cm³

5 0
3 years ago
How do you work out 510 divided by 15
Gala2k [10]

Answer:

34

Step-by-step explanation:

3 0
2 years ago
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