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DiKsa [7]
3 years ago
12

The measure of the vertex angle of an isosceles triangle is one-fourth that of a base angle

Mathematics
1 answer:
sladkih [1.3K]3 years ago
8 0
What are you supposed to find?
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A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a t
-BARSIC- [3]

Answer:

The weight of large and small box are 18.25 kg and 13.25 kg respectively.

Step-by-step explanation:

Let the weight of large and small box are x and y respectively.

It is given that a delivery of 5 large boxes and 3 small boxes has a total weight of 131 kilograms.

5x+3y=131                .... (1)

A delivery of 2 large boxes and 6 small boxes has a total weight of 116 kilograms.

2x+6y=116                .... (2)

On solving (1) and (2) using graphing calculator, we get

x=18.25

y=13.25

Therefore the weight of large and small box are 18.25 kg and 13.25 kg respectively.

4 0
4 years ago
Read 2 more answers
ANHL player's labor negotiating committee is to be selected from 8 player representatives from the Eastern Conference and 7 play
cestrela7 [59]

Answer:

21 / 143

Step-by-step explanation:

Given that:

Number of Eastern conference reps = 8

Number of western conference rep = 7

Probability of selecting 3 from Eastern reps and 2 from western reps

Probability = required outcome / Total possible outcomes

Total possible outcomes:

selection to be made = 3+ 2 = 5

Total Number of players = 8 +7 = 15

Total possible outcomes

Using combination formula :

nCr = n! / (n-r)!r!

15C5 = 15! / 10!5! = (15 * 14 * 13 * 12 * 11) / (5*4'3*2*1) = 360360 / 120 = 3003

Total possible outcomes = 3003

Required outcome :

8C3 * 7C2

8C3 = 56 ; 7C2 = 21

8C3 * 7C2 = 56 * 21 = 1176

required outcome / Total possible outcomes

= 1176 / 3003

= 21 / 143

6 0
3 years ago
Find the perimeter use 3.14
Alex777 [14]
Hey,
So we have to solve this in multiple steps. Step 1 is to find the circumference of the semi-circle and multiply by three since there are three. Step 2 would be to find the perimeter of the rectangle.  Step 3 would be to add those two together.

Step 1: To find the circumference of the semicircle use the formula pi (3.14) times radius (8 ÷ 2 = 4) times 2. After that we will divide by two since there is only half. After that we will multiply that answer by three.
C = 3.14 x 4 x 2
C = 12.56 x 2
C = 25.12

C = 25.12 ÷ 2
C = 12.56

Perimeter = 12.56 x 3 = 37.68

Step 2: To find the perimeter of the rectangle/square add all the sides (8).
Perimeter = 8 + 8 + 8 + 8 = 32

Step 3: Now add the two previous answers to get the final perimeter.
37.68 + 32 = 69.68

Final Answer: 69.68
Hope this helped!

Cheers,
Izzy

8 0
4 years ago
Solve the inequality for x<br> -x+23&lt;2-2(x-8)
lesya [120]

Answer:

inequality form: x<-5

Step-by-step explanation:

3 0
3 years ago
Solve this and help me plsss​
alexandr402 [8]

Answer:

x = 2

Step-by-step explanation:

(x² logₓ27) log₉x = x + 4

Use change of base formula.

x² (log 27 / log x) (log x / log 9) = x + 4

Simplify.

x² (log 27 / log 9) = x + 4

x² (log 3³ / log 3²) = x + 4

x² (3 log 3 / (2 log 3)) = x + 4

x² (3 / 2) = x + 4

3x² = 2x + 8

3x² − 2x − 8 = 0

(x − 2) (3x + 4) = 0

x = 2 or -4/3

Since x > 0, x = 2.

8 0
3 years ago
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