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Anon25 [30]
3 years ago
6

You are drawing a map of your school and want to make sure all the measurements are accurate. You decide to use a scale of 1 cm

= 3 feet. In your drawing, the main hallway ends up being 20 cm long.
The drawing is a little too big so you decide to change the scale to 1 cm = 4 feet.

Keeping the length in feet the same, how many centimeters long should the main hallway be in your new drawing?
Mathematics
1 answer:
zloy xaker [14]3 years ago
7 0

Answer:

5

Step-by-step explanation:

ID.K if I am right, tell me

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The measurements of two sides of a triangular playground are 24 feet and 30 feet. Which length could be the measurement of the t
Likurg_2 [28]

The length measurement of the third side of the triangular playground whose two sides are 24 ft and 30 ft long should be more than 6 but less than 54.

<h3>What is triangle inequality theorem?</h3>

Triangle inequality theorem of a triangle says that the sum of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

(a+b)>c

(b+c)>a

(c+a)>b

There is a triangular playground. The measurements of two sides of a triangular playground are 24 feet and 30 feet.

Suppose the length of the measurement of the third side of the triangular playground is <em>c</em> meters.

As the two sides are 24 ft and 30 ft long. Thus, by the triangle inequality theorem,

24+30 > c\\54 > c

For the sides 24 ft and c ft,

24+c > 30\\c > 30-24\\c > 6

Thus, the length measurement of the third side of the triangular playground whose two sides are 24 ft and 30 ft long should be more than 6 but less than 54.

Learn more about the triangle inequality theorem here;

brainly.com/question/26037134

5 0
2 years ago
Read 2 more answers
I dont get how to solve this?
Alex

Answer:

Step-by-step explanation:

In standard form this could be rewritten as | b - 0 | > 6, which in words, says,

"b is greater than 6 units away from 0 on a number line".  If b is greater than 6 units away, both positive 6 and negative 6 are 6 units away from 0.  Because the values we need are greater than 6 units away from 0, we are starting at both 6 and -6 and moving away from 0.  

The "greater than" symbol indicates that this is a disjunction so the word "or" is used as opposed to in a conjunction where the word "and" is used.

Therefore, our solutions are

b < -6 or b > 6, the 3rd choice down

5 0
3 years ago
A college entrance exam company determined that a score of 24 on the mathematics portion of the exam suggests that a student is
seraphim [82]

Answer:

a) The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at  0.01% level of significance

<em>They score is above 24 on the math portion of the​ exam</em>

<em>b) </em>

<u><em>Null Hypothesis</em></u>: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

<u>Alternative Hypothesis: </u>H₁: μ ≠ 24

<u>Step-by-step explanation:</u>

<u><em>Step(i)</em></u>:-

Given random sample 'n' = 250

Given data sample mean x⁻ = 24.5

Standard deviation = 3.3

<u><em>Null Hypothesis</em></u>: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

<u>Alternative Hypothesis: </u>H₁: μ ≠ 24

test statistic

Z = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }

Z = \frac{24.5 - 24}{\frac{3.3}{\sqrt{250} } } = \frac{0.5}{0.2087} = 2.397

a) 99% or 0.01% level of significance

Level of significance ∝ = 0.01

Z_{\frac{\alpha }{2} } = Z_{\frac{0.01}{2} } = Z_{0.005} =2.576

The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at  0.01% level of significance

<em>They score is above 24 on the math portion of the​ exam</em>

b) 95% or 0.05% level of significance

Level of significance ∝ = 0.05

Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96

The Z -value 2.397 > 1.96 at 95% or 0.05% level of significance

Null hypothesis is Rejected at  0.05% level of significance

<em>They score is below 24 on the math portion of the​ exam</em>

6 0
3 years ago
If y° and 150° form a linear pair , then y° ?​
yaroslaw [1]

Answer:

30 degrees

Step-by-step explanation:

A linear pair of angles add upto 180

So, y+150=180

y=180-150

=30

5 0
3 years ago
Read 2 more answers
Solve porportion<br> 9\12=x\16<br> x = 13<br> x = 12<br> x = 21<br> x = 9
mario62 [17]

Answer:

12

Step-by-step explanation:

6 0
3 years ago
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