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3 years ago

In a rhombus whose side measures 20 and the smaller angle is 38°. Find the length of the larger diagonal, to the nearest tenth.

Mathematics

1 answer:

Lemur [1.5K]3 years ago

4 0

A rhombus diagonals form right angles. The diagonals also cut in half the angles

use cosine: cos38 = $\frac{a}{20\\\\}$

a = 20cos38

a=15.8

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Solve the proportion 5/x=4/8 is

Anuta_ua [19.1K]

D. 10 is your answer.
In order to solve a proportion, you cross multiply.
In this case it will be 40=4x
Solve for x is 10. Therefore D is your answer.
Please give 5 star if it helped you. :)

7 0

3 years ago

Suppose Paul went to the store and bought 4 peaches to add to the basket.Write two new numerical expressions to represent the to

sasho [114]

Answer:

1. n + 4

2. x(n) + 4

Step-by-step explanation:

The two solutions were arrived at based on the following :

1. The total number of fruit, irrespective of the kind or type.

In this case, let the number of fruit be n.

Adding 4 peaches gives: n + 4 fruits.

2. The second expression takes into account the peaches only.

This times around, let the total fruits be n.

The number of peaches in the basket can be given as a fraction. Let the fraction be x

The number of peaches is the fraction of peaches multiplied by the total number of fruit like this: xn

However, 4 peaches are added, therefore, the total number will be xn+4

This figure denotes the number of peaches in the basket.

4 0

3 years ago

The figure below shows half circles at the ends of a rectangle with the demensions shown. Which is closest to the area of the fi

loris [4]

The closest answer is 95 square inches. Here is why. You can find the area of the rectangle by multiplying the length by the width. This would be 15 x 5 = 75 square inches. The area of the whole circle that is created when you put both halves together would be found by multiplying 3.14 x 2.5 in (the radius) x 2.5 in. This answer is about 20 square inches. The combined area is approximately 95 square inches.

7 0

3 years ago

The sum of the interior angles of a regular polygon is 1800 degrees. How many sides does is have? *

Rudik [331]

Answer:

12 sides

Step-by-step explanation:

To find the number of sides of a regular polygon with the sum of interior angles of 1800 degrees, we will follow the steps below;

first write down the formula for finding sum of the interior angle of a polygon

s= (n-2)180

where s is the sum of the interior angle and n is the number of side

from the question given, sum of the interior angle s=1800 degrees

substitute s=1800 degree into the formula and solve for n

s= (n-2)180

1800 = (n-2)180

divide both-side of the equation by 180

1800/180 = n-2

10 = n - 2

add 2 to both-side of the equation

10 + 2 = n

12 = n

n= 12

The polygon have 12 sides

5 0

3 years ago

Help please! Find perimeter and Area

MatroZZZ [7]

Answer:

P = 70 mi A = 210 mi^2

Step-by-step explanation:

Sides:

a = 29 m

b = 20 m

c = 21 m

Angles:

A = 90 °

B = 43.6028 °

C = 46.3972 °

Other:

P = 70 m

s = 35 m

K = 210 mi^2

r = 6 m

R = 14.5 m

Agenda:

A = angle A

B = angle B

C = angle C

a = side a

b = side b

c = side c

P = perimeter

s = semi-perimeter

K = area

r = radius of inscribed circle

R = radius of circumscribed circle

SSS is Side, Side, Side

Heron’s formula says that if a triangle ABC has sides of lengths a, b, and c opposite the respective angles, and you let the semiperimeter, s, represent half of the triangle’s perimeter, then the area of the triangle is

7 0

2 years ago