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Nostrana [21]
3 years ago
8

30 45 60 Which is it? Help please

Mathematics
1 answer:
blagie [28]3 years ago
3 0

Answer:

D = 90°

Step-by-step explanation:

the square on the angle means its a right angle and right angle is always 90°

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In a shipment of 56 vials, only 13 do not have hairline cracks. If you randomly select 3 vials from the shipment, in how many wa
Elden [556K]

Answer: 27434

Step-by-step explanation:

Given : Total number of vials = 56

Number of vials that do not have hairline cracks = 13

Then, Number of vials that have hairline cracks =56-13=43

Since , order of selection is not mattering here , so we combinations to find the number of ways.

The number of combinations of m thing r things at a time is given by :-

^nC_r=\dfrac{n!}{r!(n-r)!}

Now, the number of ways to select at least one out of 3 vials have a hairline crack will be :-

^{13}C_2\cdot ^{43}C_{1}+^{13}C_{1}\cdot ^{43}C_{2}+^{13}C_0\cdot ^{43}C_{3}\\\\=\dfrac{13!}{2!(13-2)!}\cdot\dfrac{43!}{1!(42)!}+\dfrac{13!}{1!(12)!}\cdot\dfrac{43!}{2!(41)!}+\dfrac{13!}{0!(13)!}\cdot\dfrac{43!}{3!(40)!}\\\\=\dfrac{13\times12\times11!}{2\times11!}\cdot (43)+(13)\cdot\dfrac{43\times42\times41!}{2\times41!}+(1)\dfrac{43\times42\times41\times40!}{6\times40!}\\\\=3354+11739+12341=27434

Hence, the required number of ways =27434

5 0
3 years ago
Solve for x: 12-2x=-2(y-x)
a_sh-v [17]
12 - 2x = -2(y - x)

12 - 2x = -2y - (-2x)

12 - 2x = -2y + 2x

12 - 2x - 2x = -2y + 2x - 2x

12 - 4x = -2y

12 - 12 - 4x = -2y - 12

-4x = -2y - 12

-4x/4 = -2y/4 - 12/4

-x = -0.5y - 3

-x/-1 = -0.5y/-1 - 3/-1

x = 0.5y + 3

or

x = 3 + 0.5y
3 0
3 years ago
If a lawn measures 40 and 4/5 ft by 50 and 7/8ft how many square feet of seed will he need?
pychu [463]
So convert to improper fracitons (improper=x/y where x>y and the current one is mixed where it is in t s/f form) so

40 and 4/5=(40 times 5)/5 and 4/5=200/5 and 4/5=204/5

50 and 7/8=(50 times 8)/8 and 7/8=400/8 and 7/8=407/8

area=legnth times width
legnth =407/8
width=204/5
multiply 407/8 and 204/5

407/8 times 204/5=(407 times 204)/(8 times 5)=83028/40=2075.7 square feet

the answer is 2075.7 ft^2 of seed
6 0
3 years ago
Read 2 more answers
1) There are about 20 million people in New York State, with a total land area of about 47,000 square miles.
Nata [24]

Step-by-step explanation:

B. 426 people per square. mile

5 0
2 years ago
Please can anyone help me answer this question I'm really struggling with it
Anika [276]

Answer:

v =  {210cm}^{3}

Step-by-step explanation:

Formula for finding the volume of a triangular prism is given as:

v =  \frac{1}{2}  \times b \times h \times l

where,

b = breadth = 7cm

h = height = 6cm

l = length = 10cm

Thus,

v =  \frac{1}{2}  \times 7cm \times 6cm \times 10cm

v =  \frac{1}{2}  \times 420 {cm}^{3}

v  =  \frac{ {420cm}^{3} }{2}

v =  {210cm}^{3}

7 0
3 years ago
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