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2 years ago

To sell suren

Mathematics

1 answer:

Viktor [21]2 years ago

7 0

Answer:

15 bundles

Step-by-step explanation:

Given

$Bundles= 3$

$Bundles= 5$

Required

The least number of bundles that could be sold

To do this, we simply calculate the LCM of the given number of bundles.

For 3, we have:

$Bundles = 3, 6, 9, 12, 15, 18...$

For 5, we have:

$Bundles = 5, 10, 15, 20...$

The least common factor between both is: 15. Hence, the least number of bundles is 15

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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

Hope it will help :)

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

Hope it will help :)

7 0

2 years ago

A safety officer wants to prove that μ = the average speed of cars driven by a school is less than 25 mph. Suppose that a random

Akimi4 [234]

Answer:

$t=\frac{24-25}{\frac{2.2}{\sqrt{14}}}=-1.70$

The degrees of freedom are given by:

$df=n-1=14-1=13$

The p value for this case would be given by:

$p_v =P(t_{(13)}$

Step-by-step explanation:

Information given

$\bar X=24$ represent the mean height for the sample

$s=2.2$ represent the sample standard deviation

$n=14$ sample size

$\mu_o =25$ represent the value that we want to test

t would represent the statistic

$p_v$ represent the p value for the test

Hypothesis to verify

We want to cehck if the true mean is lees than 25 mph, the system of hypothesis would be:

Null hypothesis: $\mu \geq 25$

Alternative hypothesis: $\mu < 25$

The statistic would be given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{24-25}{\frac{2.2}{\sqrt{14}}}=-1.70$

The degrees of freedom are given by:

$df=n-1=14-1=13$

The p value for this case would be given by:

$p_v =P(t_{(13)}$

8 0

2 years ago

Suppose you are producing an outdoor festival. You estimate that you will make $150000 if it does not rain and make $50000 if it

sergiy2304 [10]

Answer:

tye sea the oifuu to the to the to the to the to the to

4 0

2 years ago

A middle school took all of its 6th grade students on a field trip to see a play. The students filled 660 seats, which was 55% o

Elan Coil [88]

Answer:

1200 seats

Step-by-step explanation:

x = 660

100 55

55x = 66,000

x = 1200

7 0

2 years ago

HELP FAST PLEASE

kramer

Answer:

y = 14

Step-by-step explanation:

proportional relation: y = kx

only y = 14x has the situation where constant is 14 (k=14)

5 0

2 years ago