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3 years ago

an angle's mesuare is 6 degrees more than 3 times the measure of its complemtnt. Find the measure of the angle

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

6 0

3 times say "x"...................... 3x

6 more than that.................. 3x + 6

so we have two complementary angles, one measures "x" and the other measures "3x+6", we know complementary angles add up to 90°, so then.

$\bf x+(3x+6)=90\implies 4x+6=90\implies 4x=84\implies x=\cfrac{84}{4}\implies \boxed{x=21} \\\\\\ 3x+6\implies 3(21)+6\implies 69$

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Schoolyard has an area of 3,564ft.² the section that is in the shape of a triangle is just for picnic table and what is the area

asambeis [7]

Answer:

The area of the section for the picnic tables is $1,188\ ft^{2}$

Step-by-step explanation:

we know that

The area of the schoolyard is equal to the area of a rectangle plus the area of a triangle

$3,564=44*(2x-x)+\frac{1}{2}(2x-x)*44\\ \\3,564=44x+22x\\\\3,564= 66x\\ \\x=54\ ft$

The area of the triangle is equal to

$22x=22*54=1,188\ ft^{2}$

6 0

3 years ago

(5x3 + 3)2 = (5x3)2 + (3)2 = 25x6 + 9 is this correct

faust18 [17]

Answer:

No!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! NO NO NO NO NO... SEE BELOW!!!!!!

Step-by-step explanation:

LOL I like caps!!! and !'s

To question

If 5x3 is 5 $x^3$ then...

5x^3 times 2 equals 10x^3 no 10x^6

So the end result will be 10 $x^3\\$ + 9

5 0

3 years ago

If each of the numbers in the following data set were multiplied by 17, what would be the median of the data set?

Bess [88]

28 would be, or as it’s multiplied by 17, it would be 476

3 0

2 years ago

wilson jarred 45 liters of jam after 5 days. how much jam did wilson jar if he spent 7 days making jam? solve using unit rates.

Natali5045456 [20]

45/5 = 9 jams a day
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Hope this helps!

5 0

3 years ago

Suppose these show number of hours each student in a class slept last night:

Olin [163]

⊂ Hey, rosedalphinis ⊃

Answer:

Mean: 6.9 hours; Median 7 hours

Step-by-step explanation:

⇒ Given:

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Suppose these show number of hours each student in a class slept last night:

8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6

What is the mean of these numbers (rounded to the nearest tenth)?

What is the median?

Mean: 6.9 hours; Median 7 hours

Mean: 6.9 hours; Median 7.5 hours

Mean: 7 hours; Median 6.9 hours

Mean: 7.2 hours; Median 7 hours

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⇒ Solution~:

-------------------------------------------------------------------------------------------------------------

Let's first define "Median".

You may be wondering "What is median/What is mean?".

When it asking for "Mean" It asking for the average.

When it asking for "Median" It asking for the middle number.

The formula for "Mean" is : M = sum of the terms/number of terms

According to the given we have;

8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6

Let's first find the "Mean":

First, add all the number together.

8 + 4 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6

12 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6

20 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6

27 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6

34 + 9 + 6 + 5 + 10 + 7 + 6 + 6

43+ 6 + 5 + 10 + 7 + 6 + 6

49+ 5 + 10 + 7 + 6 + 6

54+ 10 + 7 + 6 + 6

64 + 7 + 6 + 6

71+ 6 + 6

77 + 6

= 83

Now let's count how many numbers of hours each student in a class slept.

8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6 = 12

Now 83 divide by 12:

83/12 = 6.9166666666667 {Round}

6.9166666666667 = 6.9

Therefore, Mean = 6.9

-------------------------------------------------------------------------------------------------------------

Next, Let's find the "Median":

To find the Median, place the numbers in value order and find the middle.

⇒ 8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6

⇒ 4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

Now we have them in order:

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

Then, we find the middle number:

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

Now You see that there two's 7 left.

If there is an even number of numbers add the two middles and divide by 2

Thus,

7 + 7 = 14

14/2 = 7

Therefore, Median = 7.

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According to the solving above we can conclude that:

Mean: 6.9 hours; Median 7 hours

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xcookiex12

9/4/2022

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4 0

1 year ago

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