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Pavel [41]
3 years ago
15

The equal symbol with the wave meat "is Congeruent to"

Mathematics
1 answer:
Strike441 [17]3 years ago
6 0

Answer:

angle 5 is 61°

angle 7 is 61°

Step-by-step explanation:

1. angle 7 + angle 8 = 90° Because they are complementary angles

2. Because of point 1 above, angle 5 + angle 6 = 90°

3. since given angle 6 = 29°

so, angle 5 = 90° - 29° = 61°

4. since given angle 5 = angle 8

so, angle 8 = 61°

5. from point 1 above,

angle 7 + 61° = 90°

so angle 7 = 29°

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If the simple interest on ​$1000 for 9 years is ​$630​, then what is the interest​ rate?
nalin [4]

Answer:

0.07 or 7%

Step-by-step explanation:

I = Prt

630 = (1000)(9)r

630 = 9000r

r = 0.07

4 0
3 years ago
Read 2 more answers
Lee wants to buy two pairs of shoes. One pair costs $37.07 and the other pair costs $42.48. A pair of socks cost $8.50. If Lee b
daser333 [38]

Answer:

$96.55

Step-by-step explanation:

The computation of the money he would require is shown below:

Since lee wants to buy both pairs of shoes and the two pairs of socks

So the amount of money he needed is

= $37.07 + $42.48 + 2 × $8.50

= $37.07 +  $42.48 + $17

= $96.55

5 0
3 years ago
Can someone explain this differentiation question to me? I can differentiate but then I'm not sure what I am doing
weeeeeb [17]

note that gradient = \frac{dy}{dx} at x = a

calculate \frac{dy}{dx} for each pair of functions and compare gradient

(a)

\frac{dy}{dx} = 2x and \frac{dy}{dx} = - 1

at x = 4 : gradient = 8 and - 1 : 8 > - 1

(b)

\frac{dy}{dx} = 2x + 3 and \frac{dy}{dx} = - 2

at x = 2 : gradient = 7 and - 2 and 7 > - 2

(c)

\frac{dy}{dx} = 4x + 13 and \frac{dy}{dx} = 2

at x = - 7 : gradient = - 15 and 2 and 2 > - 15

(d)

\frac{dy}{dx} = 6x - 5 and \frac{dy}{dx} = 2x - 2

at x = - 1 : gradient = - 11 and - 4 and - 4 > - 11

(e)

y = √x = x^{\frac{1}{2} }

\frac{dy}{dx} = 1/(2√x) and \frac{dy}{dx} = 2

at x = 9 : gradient = \frac{1}{6} and 2 and 2 > \frac{1}{6}


4 0
3 years ago
There are 4 people at a party. Consider the random variable X=’number of people having the same birthday ’ (match only month, N=
yulyashka [42]

Answer:

S = {0,2,3,4}

P(X=0) = 0.573 , P(X=2) = 0.401 , P(x=3) = 0.025, P(X=4) = 0.001

Mean = 0.879

Standard Deviation = 1.033

Step-by-step explanation:

Let the number of people having same birth month be = x

The number of ways of distributing the birthdays of the 4 men = (12*12*12*12)

The number of ways of distributing their birthdays = 12⁴

The sample space, S = { 0,2,3,4} (since 1 person cannot share birthday with himself)

P(X = 0) = \frac{12P4}{12^{4} }

P(X=0) = 0.573

P(X=2) = P(2 months are common) P(1 month is common, 1 month is not common)

P(X=2) = \frac{3C2 * 12P2}{12^{4} } + \frac{4C2 * 12P3}{12^{4} }

P(X=2) = 0.401

P(X=3) = \frac{4C3 * 12P2}{12^{4} }

P(x=3) = 0.025

P(X=4) = \frac{12}{12^{4} }

P(X=4) = 0.001

Mean, \mu = \sum xP(x)

\mu = (0*0.573) + (2*0.401) + (3*0.025) + (4*0.001)\\\mu = 0.879

Standard deviation, SD = \sqrt{\sum x^{2} P(x) - \mu^{2}}  \\SD =\sqrt{ [ (0^{2} * 0.573) + (2^{2}  * 0.401) + (3^{2} * 0.025) + (4^{2} * 0.001)] - 0.879^{2}}

SD = 1.033

4 0
3 years ago
Can somebody help with this question i attached a screen shot of the question and what it's asking for.
Troyanec [42]
Answer: x = 6
explaination:
ac= 2ao
ao=3 so ac= 2(3) which is six

so 5x-24=6
x=6
7 0
2 years ago
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