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Jlenok [28]
2 years ago
7

One angle of a rhombus measures 108°, and the shorter diagonal is 9 inches long. Approximately how long is the side of the rhomb

us?
Mathematics
1 answer:
vfiekz [6]2 years ago
3 0

Answer:

8 inches

Step-by-step explanation:

A rhombus is a four sides quadrilateral with the four sides equal in length

A rhombus has 4 equal sides and the diagonal bisect at right angles

Adjacent sides = 9/2 = 4.5

we are to determine the value of the hypotenuse given the adjacent side and angle (108/2) = 54

Cos 54 = adjacent / hypotenuse

0.58778 = 4.5 / hypotenuse

hypotenuse = 4.5 / 0.58778

=7.6559

= 8 inches

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Alexander is a stockbroker. He earns 14% commission each week. Last week, he sold $6,400 worth of stocks. How much did he make l
erastova [34]

Answer:

In that one week, his commision was $896, over all 52 weeks, he made $46592

Step-by-step explanation:

Need help calculating that? Let me help you. Grab a calculator!

So, he makes 14% commision on any stock he sells. This week, he sold $6,400 worth of stocks, and, hes going to make 14% on it. So, take 6400 and divide that by 14%, and what do you get? $896! So, he made $896 that week. Now, say he made that amount EVERY WEEK. so, all you have to do is know how many weeks are in a year (52) and multiply that by 896, which gives you 46592.

Hope this helped, and brainliest would be amazing ❤️ please let me know if you need anymore help. im happy to help.

4 0
2 years ago
Divide 24 milliliters into the ratio of 6:2<br><br> What is the larger value?
Rashid [163]

Answer:

18 and 6

Step-by-step explanation:

Rn = 6   Ratio numerator

Rd = 2 Ratio Denominator

Rs = Rn + Rd

Rs = 6 + 2

Rs = 8

Ratio Sum

a = 24 Amount to Divide

M = a ÷ Rs

M = 24 ÷ 8

M = 3 Multiplier Ratio Division Calculation

Rr = Rn × M : Rd × M

Rr = 6 × 3 : 2 × 3

Rr = 18 : 6

4 0
3 years ago
Sharon has 23 toy car that are colored red, blue, and white. She has 4 red cars, 2 fewer blue cars than red and 5 more purple ho
podryga [215]

Answer:

13 white cars

Step-by-step explanation:

Let us represent:

Number of

Red cars = x

Blue cars = y

White cars = z

Sharon has 23 toy car that are colored red, blue, and white.

x + y + z = 23

x = 4

2 fewer blue cars than red

y - 2 = x

y - 2 = 4

y = 4 + 2

y = 6

Hence,

x + y + z = 23

4 +

Number of white cars is calculated as:

23 - (6 + 4)

23 - 10

= 13 white cars

8 0
3 years ago
Find The surface area of the cylinder. round your answer to the nearest tenth
trasher [3.6K]

Answer:

791.7

.......

........................

.

6 0
2 years ago
Find the value of x in the triangle shown below
Georgia [21]

Answer:

the length of the hypotenuse must be 10.

Step-by-step explanation:

This is a right triangle, so we can apply the Pythagorean Theorem.

6² + 8² = 10²   so the length of the hypotenuse must be 10.

6 0
2 years ago
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