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2 years ago

4

A small triangular piece of metal is needed to add support to a trailer frame. The hypotenuse has a length of 35 cm and the base

is a cm. If the angle between the base and hypotenus is θ and known to be 27∘, what is the length of a to the nearest tenth of a centimeter

1 answer:

lilavasa [31]2 years ago

3 0

Answer:

31.19cm

Step-by-step explanation:

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In ΔABC, and m∠ABC = 90°. D and E are the midpoints of and , respectively. If the length of is 9 units, the length of is units a

jok3333 [9.3K]

This is an isosceles right triangle (AB = BC & ∠ B=90° - Given)
Then the angles at the base are equal and ∠ CAB = ∠ ACB = 45°

Theorem: Segment DE, joining the midpoints of 2 sides is:
1st) parallel to the 3rd side and
2nd) equal to half the measurement of the 3rd side
So if the 3rd side (hypotenuse) = 9 units, DE = 9/2 = 4.5 units

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2 years ago

Consider a data set with at least three data values. Suppose the highest value is increased by 10 and the lowest is decreased by

bulgar [2K]

Answer:

a. Mean doesn't change.

b. Median doesn't change.

c. Mode can change.

Step-by-step explanation:

Let us assume the data set with 10 observations

{2,6,4,3,2,6,4,9,4,7}.

Arranging data set in ascending order

{2,2,3,4,4,4,6,6,7,9}

mean=2+2+3+4+4+4+6+6+7+9/10=4.7

median

n/2=10/2=5 is an integer so,

median= average of n/2 and n/2 +1

median= (5th value+6th value)/2

median=(4+4)/2=8/2=4

Mode

The most repeated value is 4. So, mode is 4 for assumed data.

Increasing highest value by 10 and decreasing lowest value by 10

{-8,2,3,4,4,4,6,6,7,19}

a.

mean=-8+2+3+4+4+4+6+6+7+19/10=4.7

Mean doesn't change

b.

median

n/2=10/2=5 is an integer so,

median= average of n/2 and n/2 +1

median= (5th value+6th value)/2

median=(4+4)/2=8/2=4

Median doesn't change

c.

Most occurring value is still 4. But mode can change if the value the highest value becomes most concurring value.

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2 years ago

Read 2 more answers

Your grandparents send you a check for $150 for your birthday. You deposit the check into your savings account which has a balan

NNADVOKAT [17]

313.75 I believe that is the correct answer or som

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2 years ago

we are asking everyone to focus on reducing their average transaction time by 10%. the average transaction time for this locatio

Anettt [7]

Answer:

We have to get the average transaction time down to 371 seconds or 6 minutes 11 seconds.

Step-by-step explanation:

The average transaction time for this location is 6 minutes and 52 seconds.

$1\text{ minute}=60\text{ seconds}$

$6\text{ minute}=6\times 60\text{ seconds}$

$6\text{ minute}=360\text{ seconds}$

The average transaction time for this location is

$360+52=412\text{ seconds}$

The average transaction time is reduced by 10%.

$412-\frac{10}{100}\times 412=412-41.2=370.8\approx 371\text{ seconds}$

The average transaction time of this location reduced to 371 seconds.

$\frac{371}{60}=\frac{360+11}{60} =6+\frac{11}{60}$

The average transaction time of this location reduced to 6 minutes 11 seconds.

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2 years ago

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Steve stayed after school for extra activities 55% of the 180 school days this year. How many days did Steve stay after school?

musickatia [10]

Answer:

11/20 or 99/180 days

Step-by-step explanation:

55/100 converted to ?/180

180/100=1.8

so you would do the same on the numerator which is 55*1.8=99

99/180= 33/60=11/20

7 0

2 years ago