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Shtirlitz [24]
3 years ago
13

the angle between the length of a rectangle and its diagonal is 30degrees. if the length of the rectangle is 6cm, find the lengt

h of diagonal.
Mathematics
1 answer:
adell [148]3 years ago
4 0

Answer:

view the picture

Step-by-step explanation:

It is self explanatory

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Solve for x in each of the equations or inequalities below, and name the property and/or properties used:
nordsb [41]

Answer

a) 3/4 x = 9

    x = \dfrac{9\times 4}{3}

    x = 12

b)  10+ 3x = 5x

     2 x = 10

        x = 5

c) a + x = b

       x = b - a

d) c x = d

      x =  \dfrac{d}{c}

e)  \dfrac{1}{2} x - g < m

     \dfrac{1}{2} x< m + g

              x  < 2( m + g)

f) q + 5 x = 7 x - r

   q + r = 2 x

      x = \dfrac{q + r}{2}

4 0
3 years ago
the marks in an examination for a Physics paper have normal distribution with mean μ and variance σ2 . 10% of the students obtai
Blababa [14]

Let X be the random variable for the number of marks a given student receives on the exam.

10% of students obtain more than 75 marks, so

P(X>75)=P\left(\dfrac{X-\mu}\sigma>\dfrac{75-\mu}\sigma\right)=P(Z>z_1)=0.10

where Z follows a standard normal distribution. The critical value for an upper-tail probability of 10% is

P(Z>z_1)=1-F_Z(z_1)=0.10\implies z_1=F_Z^{-1}(0.90)

where F_Z(z)=P(Z\le z) denotes the CDF of Z, and F_Z^{-1} denotes the inverse CDF. We have

z_1=F_Z^{-1}(0.90)\approx1.2816

Similarly, because 20% of students obtain less than 40 marks, we have

P(X

so that

P(Z

Then \mu,\sigma are such that

\dfrac{75-\mu}\sigma\approx1.2816\implies75\approx\mu+1.2816\sigma

\dfrac{40-\mu}\sigma\approx-0.8416\implies40\approx\mu-0.8416\sigma

and we find

\mu\approx53.8739,\sigma\approx16.4848

3 0
3 years ago
a baker wants to make 10 batches of cookie. each batch uses 2/3 cup.of sugar. how many cups of sugar will the baker need to make
Alchen [17]

Answer:

10 x 2/3 = 20/3 or 6 cups and 2/3

3 0
3 years ago
The functions f(x) = (x + 1)2 − 2 and g(x) = -(x − 2)2 + 1 have been rewritten using the completing-the-square method. Is the ve
Ksenya-84 [330]

Answer:

The negative outside the parentheses indicates that the vertex is a maximum

f(x) has a minimum vertex

g(x) has a maximum

Step-by-step explanation:

7 0
3 years ago
Simplify using distributive property 4(z+2)+2(3-z)
riadik2000 [5.3K]

Answer:

2z+14

Step-by-step explanation:

you multiply

4*z   =4z

4*2   =8

and then you multiply

2*3=6

2*-z=-2z

the answer is 2z+14

5 0
2 years ago
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