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9966 [12]
3 years ago
14

What is the measure of angle PNL

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
7 0

Answer:

Angle M has a measure of 47°.

What is the measure of angle PNL?

43°

47°

86°

94°

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There are 727272 boys and 909090 girls on the math team. for the next math competition, mr. johnson would like to arrange all of
MakcuM [25]

Given that there are 72 boys and 90 girls on math team.

Mr. Johnson like to arrange all of the students in equal rows with only girls or boys in each row.

Let n be the maximum number of boys are girls in each row. Then we have to such number which divides both 72 and 90. So basically here we are going to find greatest common factor of 72 and 90

First completely factorize 72 and 90

72 = 2 * 36

= 2 *2 * 18

=2 * 2 * 2 * 9

72 =2 * 2 * 2 * 3 * 3

Similarly 90 = 2 * 45

= 2 * 3 * 15

90 = 2 * 3 * 3* 5

Now we have 72 = 2 * 2 * 2 * 3 * 3 and 90 = 2 * 3 * 3 * 5

Now we will find the common factor in both which are 2 ,3 ,3

So Greatest common factor = 2 * 3 * 3= 18

It means in each row there can be maximum 18 students.

The greatest number of students that can be in each row is 18

7 0
3 years ago
Alex has built a garden shed in the shape shown.
AnnyKZ [126]

Answer:

A) 22 cans required to paint

B) Including 13% tax, cost of painting = $633.93

Step-by-step explanation:

As we check the figure, we have a composite figure.

Cuboid on the base and a pyramid on the top of it.

To find the area to be painted, we have 4 rectangular faces of cuboid with dimensions 6m \times 3m.

And 4 triangular faces of pyramid with Base = 6m and Height 5m.

So, total area to be painted = 4 rectangular faces + 4 triangular faces

Area of rectangle = Length \times Width = 6 \times 3 = 18 m^2

Area of triangle = \frac{1}{2}\times Base \times Height =\frac{1}{2}\times 6 \times 5 = 15\ m^{2}

Total area to be painted = 4 \times 18 + 4 \times 15 = 72 + 60 = 132 m^2

A) Area painted by 1 can = 6 m^2

Cans required to paint 132 m^2 = \frac{132}{6} = 22\ cans

B)

Cost of 1 can = $25.50

Cost of 22 can = $25.50 \times 22 = $561

Including tax of 13% = $561 + $561 \times \frac{13}{100} = $561 + $72.93 = <em>$633.93</em>

<em></em>

So, the answers are:

A) <em>22 cans </em>required to paint

B) Including 13% tax, cost of painting =<em> $633.93</em>

6 0
3 years ago
Help me please I’m not the smartest
viktelen [127]
X^2=16
x= 4 OR x=-4

The picture attached below is your answer because it’s between 4 and -4.

3 0
2 years ago
Will give Brainliest! if right!<br> Use the box-and-whisker plot find the range of the data.
k0ka [10]
Range = 100 - 50 = 50

answer is 50
3 0
3 years ago
Read 2 more answers
40 points. Factor the following polynomial.
madam [21]

Answer:

A

Step-by-step explanation:

49y² - x² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

49y² - x²

= (7y)² - x²

= (7y - x )(7y + x) → A

3 0
2 years ago
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