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Nikolay [14]
3 years ago
11

Calculate the angle of a sector of 50° and a radius of 4cm

Mathematics
1 answer:
Anastasy [175]3 years ago
7 0

Answer: 20π/9 cm²

Step-by-step explanation:

Central angle is given as = 50°

We should note that for a complete circle to be made, it needs 360∘. Therefore, this is 50/360 = 5/36 of the area of a sector.

Area of the sector = 5/36 × πr².

= 5/16 × π × 4²

= 5/36 × π × 16

= 80π/36

= 20π/9 cm²

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Martha combined different amounts of oramge juice, pineapple juice, and strawberry juice to make 1 850ml of fruit punch. The amo
allsm [11]
We have the following variable:
 x = The amount of orange juice
 We have the following equation:
 x + (× + 100) + 1/2 × = 1850
 We clear x:
 (5/2) x + 100 = 1850
 (5/2) x = 1850 - 100
 (5/2) x = 1750
 x = 1750 / ((5/2))
 x = 700 ml
 pineapple juice = × + 100 = 700 + 100 = 800 mL
 strawberry juice = 1/2 × = (1/2) 700 = 350 mL
 The difference is:
 800 - 350 = 450 mL
 Answer:
 
The difference in the amounts of pineapple juice and strawberry juice martin combined was:
 
450 mL
8 0
3 years ago
FIRST ONE TO ANSWER GETS A BRAINLY!!!! PLZ ANSWER AND HELP ME!!! PLS ALSO TELL HOW YOU GOT THE ANSWER!!!
KengaRu [80]

Answer:

Square root of 87.35 will be plotted between 9 and 10 as shown below.

Step-by-step explanation:

We are given that, 'The number line is numbered in tenths'

Also, the square root of 87.35 is given by,

\sqrt{87.35}=9.4

That is, we have to plot the point 9.4 on the number line numbered in tenths.

As, 9.4 will lie between the points 9 and 10.

Thus, we get that square root of 87.35 will be plotted between 9 and 10 as shown below.

8 0
3 years ago
How many baseballs equal one pineapple?
Zigmanuir [339]

Let a be an apple, b be a baseball, p be a pineapple and s be a shoe.

Then, from the balance, we model these equations:

p + b = s     ----- (1)

2s = 4a

Divide both sides by 2.

s = 2a

Substitute in (1), we get,

p + b = 2a   ----- (2)

Also,

p = a + b   -----  (3)

Substitute the above in (2), we get,

(a + b) + b = 2a

a + 2b = 2a

Subtract a from both sides.

a = 2b

Substitute in (3), we get,

p = 2b + b = 3b

Hence, 3 baseballs equal one pineapple.

6 0
3 years ago
If a/2b =3/5 and 4b/3c=1/7, then a/c=<br> I will mark you brainlist whoever get this correct
ioda

Answer:

a/c=2/7 u are welcome thanks for ur help

7 0
3 years ago
Solve 2x2 + 5x = 12
Delvig [45]

Answer:

A

Step-by-step explanation:

2x² + 5x = 12

2x² + 5x - 12 = 0

x² + 5x - 24 = 0

factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. the only pair that adds to 5 is 8 and 3

2x² - 3x + 8x - 12 = 0

split the equation and factor

2x² - 3x = 0 ||| 8x - 12 = 0

x(2x - 3) ||| 4(2x - 3)

therefore the pair is (2x - 3)(x + 4)

2x - 3 = 0

2x = 3

x = 3/2

or

x + 4 = 0

x = -4

3 0
2 years ago
Read 2 more answers
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