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3 years ago

Find the missing angle. 9 5 x°

Mathematics

1 answer:

iragen [17]3 years ago

5 0

Answer:

45 degrees

Step-by-step explanation:

the right angle is 90 degrees and one angle is 45 degrees and 90+45=135 and 180-135=45 so 45 degrees is the missing angle

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Find the following rates. Round your answer to the nearest hundredth. a. ? % of 75 = 5 b. ? % of 28 = 140 c. ? % of 100 = 40 d.

Sati [7]

Answer:

a) 6.67% b) 500% c) 40% d) 7.5%

Step-by-step explanation:

a. ? % of 75 = 5

Let ? be y.

Of means multiply so we will replace it with a multiplication sign.

y% x 75 = 5

y% = 5/75

y% = 1/15 x 100

y = 6.67 %

b) ?% of 28 = 140

Let ? be y.

Of means multiply so we will replace it with a multiplication sign.

y% x 28 = 140

y% = 140/28

y% = 5

y = 5 x 100

y = 500%

c) ?% of 100 = 40

Let ? be y.

Of means multiply so we will replace it with a multiplication sign.

y% x 100 = 40

y% = 40/100

y% = 2/5

y = 2/5 x 100

y = 40%

d) ?% of 200 = 15

Let ? be y.

Of means multiply so we will replace it with a multiplication sign.

y% x 200 = 15

y% = 15/200

y% = 3/40

y = 3/40 x 100

y = 7.5 %

8 0

3 years ago

Alicia records the total number of points scored in two games by 10 players on her basketball team Which box plot represents the

exis [7]

Complete question :

Alicia records the total number of points scored in two games by 10 players on her basketball team.

28, 13, 4, 8, 15, 10, 22, 7, 11, 15

Which box plot represents the data

Answer:

The most appropriate boxplot is the third option.

Step-by-step explanation:

Given the data:

28, 13, 4, 8, 15, 10, 22, 7, 11, 15

Ordering the data:

Ordered data : 4,7,8,10,11,13,15,15,22,28

Minimum value = 4

Maximum = 28

Using a boxplot maker :

Median = 12

First quartile: 8

Third quartile: 15

5 0

3 years ago

Read 2 more answers

What is magnitude in maths ?

blondinia [14]

Answer:

In mathematics, the magnitude or size of a mathematical object is a property which determines whether the object is larger or smaller than other objects of the same kind. More formally, an object's magnitude is the displayed result of an ordering ( or ranking ) - of the class of objects to which it belongs.

8 0

3 years ago

Find the surface area. Round to the nearest tenth.

Anton [14]

Answer:

66.4 in^2

Step-by-step explanation:

Surface area is defined as the area around the surface of a 3-dimensional solid. The shape we are given here is a triangular prism with a square base. This means it contains one square and 4 triangles on the surface. To find the surface area, we just need to find the areas of all 5 surface shapes and add them up. We have been given that the square has a side length of 4 inches, meaning the area is 4^2 or 16. The area of a triangle is (1/2)base*height. The base length is 4 inches and the height is 6.3, and (1/2)*4*6.3 is 12.6. Note that, since there are four triangles, we have to multiply this value by 4 (12.6*4 = 50.4). Now we have the area of the square and the area of all the triangles put together, so we can just add them up:

16 + 50.4 = 66.4

8 0

2 years ago

walnut grower estimates from past records that if 20 trees are planted per acre, then each tree will average 60 pounds of nuts p

laila [671]

Answer:

5 trees should be planted to maximize the yield per acre,

The maximum yield would be 1250

Step-by-step explanation:

Given,

The original number of trees per acre = 20,

Average pounds of nuts by a tree = 60,

Let x be the times of increment in number of trees,

So, the new number of trees planted per acre = 20 + x

∵ for each additional tree planted per acre, the average yield per tree drops 2 pounds,

So, the new number of pounds of nut = (60 - 2x)

Thus, the total yield per acre,

$Y(x) = (20+x)(60-2x)$

Differentiating with respect to t ( time ),

$Y'(x) = (20+x)(-2) + 60 - 2x = -40 - 2x + 60 - 2x = 20 - 4x$

Again differentiating with respect to t,

$Y''(x) = -4$

For maxima or minima,

$Y'(x) = 0$

⇒ 20 - 4x = 0

⇒ 20 = 4x

⇒ x = 5,

For x = 5, Y''(x) = negative,

Hence, Y(x) is maximum for x = 5,

And, maximum value of Y(x) = (20+5)(60 - 10) = 25(50) = 1250,

i.e. 5 trees should be planted to maximize the yield per acre,

and the maximum yield would be 1250 pounds

4 0

3 years ago

Find the missing angle. 9 5 x°​

Find the missing angle. 9 5 x°