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3 years ago

The cell phone bill recorded that Jeremiah sent 532 text messages last week. On average

Mathematics

2 answers:

nadezda [96]3 years ago

8 0

Answer:

76 sent text messages per day.

Step-by-step explanation:

The question above is answered below.

Average of a dataset is obtained by the ratio of total sum of dataset and number of observations.

In this case, average text messages sent equals total sent text messages divide by number of days in a week. Thus:

$average = \frac{532}{7}$

$average = 76 \: text \: messages$

Having recorded 532 sent text messages last week; on average, Jeremiah sent 76 text messages each day.

Kipish [7]3 years ago

7 0

Answer: 76

Step-by-step explanation:

create an equation

the average each day is how many messages there are each day, so you would divide the total messages evenly to get the messages per day

average = total message / num days

finding values to use in formula

the total messages is given = 532

num days = 7 because there are 7 days in a week

plug in to solve

solving the formula

average = total messages/num day

average = 532/7 = 76

final answer

76 text messages each day

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dexar [7]

A/6 - 8

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3 years ago

A right triangle (triangle 1) has a hypotenuse length of 115 mm and α = 31.2°. What are the measurements for a, b, and β? 2. A r

kirza4 [7]

Alright, lets get started.

A right triangle (triangle 1) has a hypotenuse length of 115 mm and α = 31.2°. What are the measurements for a, b, and β?

Please refer the diagram I have attached.

Using SOH CAH TOA,

$sin 31.2 = \frac{b}{115}$

$b = 115 sin31.2$

Plugging the value of sin 31.2

$b = 115*0.518 = 59.57$ mm

Similarly,

$cos31.2 = \frac{a}{115}$

$a = 115cos31.2$

Plugging the value of cos 31.2

$a = 115*.8553 = 98.36$ mm

Now, for angle β

tan β = $\frac{98.36}{59.57}$

tan β = 1.65

Using tan inverse

β = 58.78°

So, the answer is a = 98.36 mm, b = 59.57 mm and β = 58.78° : Answer

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A right triangle (triangle 1) has measurements of a = 505 mm and b = 286 mm. What are the measurements for c, α, and β?

Please refer the diagram I have attahced.

a and b are given, we could side c by using Pythagorean theorem.

$c^2 = a^2 +b^2$

$c^2 = 505^2 + 286^2$

$c^2 = 255025+81796$

$c^2 = 336821$

Taking square root on both sides

c = 580.36 mm

Using SOH CAH TOA,

tan α = $\frac{505}{286}$

taking tan inverse

α = 60.48°

Similarly,

tan β = $\frac{286}{505}$

taking tan inverse

β = 29.52°

So, the answer is c = 580.36 mm, α = 60.48° and β = 29.52° : Answer

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3 years ago

write the slope intercept equation. the graph of f passes through (-6,4) and is perpendicular to the line that has an x-intercep

Nimfa-mama [501]

Answer:

y = $-\frac{1}{3} x$ + 2

Step-by-step explanation:

The slope of the line that has an x intercept of (2,0) and y-intercept of (0,-6) is:

Slope(s) = Change in y ÷ change in x

s = $\frac{0 - -6}{2 - 0}$ = 3

The slope of the perpendicular line to this line with slope of 3 has to have a slope of -1 ÷ 3 = $-\frac{1}{3}$

Reason: The product of slopes of lines perpendicular to each other have to be -1

So the slope of the perpendicular line that passes through (-6,4) is $-\frac{1}{3}$

As mentioned earlier, we derive a slope of a line by dividing the change in y by the change in x

Taking another point (x,y) on the line,

$-\frac{1}{3}$ = $\frac{y - 4}{x - -6}$

$-\frac{1}{3}$ = $\frac{y - 4}{x + 6}$

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3 years ago

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vodka [1.7K]

Answer:

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Step-by-step explanation:

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2 years ago

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bezimeni [28]

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