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Gemiola [76]
2 years ago
8

In triangle FGH shown below, what is the measure of ∠ F in degrees?

Mathematics
1 answer:
shutvik [7]2 years ago
5 0

Answer:

33.5+127=160.5

180-160.5=19.5

Step-by-step explanation:

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What is the volume of the rectangular prism
-Dominant- [34]

Answer:

D

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which description best fits the distribution of the data shown in the histogram?
Sedaia [141]

Option B: Approximately bell-shaped

Explanation:

Option A: Skewed

A histogram is said to be skewed if most of the larger values falls either on the left or right side.

Clearly, the given histogram is not skewed.

Thus, Option A is not the correct answer.

Option B: Approximately bell-shaped

A graph is said to be bell shaped if a vertical line is drawn at the center which will form a mirror image of the left half of the graph with the right half.

Clearly, the given histogram is approximately bell-shaped.

Thus, Option B is the correct answer.

Option C: Uniform

A graph is said to be uniform if its data is equally spread across the range.

Clearly, the given histogram is not Uniform.

Thus, Option C is not the correct answer.

Option D: Skewed left

A graph is said to be skewed left if the smaller values fall on the left side of the graph.

Clearly, the given histogram is not skewed left.

Thus, Option D is not the correct answer.

Hence, Option B is the correct answer.

5 0
3 years ago
Read 2 more answers
Karen has a summer job as a swim instructor. she gets paid $4 per hour for the first 20 hours and $6 per hour for each hour in t
Misha Larkins [42]
She would need to work 24 hours because the first 20hrs x $4 is $80 $104-$80 = 24
24\6= 4 20 plus 4 is 24
4 0
2 years ago
A boat takes 4 hours to go 20 miles upstream. It can go 32 miles downstream in the same time. Find the rate of the current and t
KonstantinChe [14]
Let the boat speed in still water be b.
Let the current speed be c.
The speed going upstream is 20/4 = 5 mph.
The speed going downstream is 32/4 = 8 mph.
b - c = 5 ........(1)
b + c = 8 .......(2)
Adding equations (1) and (2) we get:
2b = 13
b = 13/2 = 6.5
Plugging in the value for b into equation (1) we find c = 1.5.
The boat speed in still water is 6.5 mph and the current speed is 1.5 mph.
4 0
2 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
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