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ZanzabumX [31]
3 years ago
5

Maisha has 3(x+2) hours reading a book 8x-5 hours sleeping and 2x hours playing.How many hours did she spend in all of these act

ivities
Mathematics
1 answer:
Mandarinka [93]3 years ago
6 0
Add all the activities together

=3(x+2) + (8x-5) + 2x
multiply 3 by all in parentheses
=(3*x) + (3*2) + (8x-5) + 2x
=3x + 6 + 8x - 5 + 2x
combine like terms
=(3x + 8x + 2x) + (6 - 5)
=13x + 1

ANSWER: 13x + 1

Hope this helps! :)
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I need help with 5-11
Damm [24]

Step-by-step explanation:

5.

in an equilateral triangle all 3 sides are equally long. but that also means that all 3 angles are equal. and as the sum of all angles in a triangle has to be 180°, that means that each of the 3 Angie's is 180/3 = 60°.

so, KML = 60°.

6.

HMK = 50°, KML = 60°.

all angles around M on one side of the line LG must have 180° in total too.

so,

HMG = 180 - 50 - 60 = 70°

7.

since GHM is isoceles (GH and MH are equal), it means also that the angles at M and at G must be equal.

HMG = 70°

therefore, HGM = 70°

again, the sum of all angles in a triangle must be 180°, so

GHM = 180 - 70 - 70 = 40°.

8.

again, in an isoceles triangle also the 2 "bottom" angles are equal. and together with the 180 sum rule we get

MHJ = (180 - 145)/2 = 35/2 = 17.5°.

9.

if now the angle at G is 67°, then again, the angle at M must be equal (67°). and then again based on the 180 rule we get

GHM = 180 - 67 - 67 = 46°.

10.

since the 2 angles "at the bottom" are equal, it means ADE is an isoceles triangle.

since BC is parallel to DE, it means that ADE and ABC are similar triangles. and that means the corresponding angles are the same. and that means that the angles 3 and 4 are equal, and therefore ABC is an isoceles triangle. and that means that both legs AB and AC are equal.

11.

again, in an isoceles triangle the 2 base angles are equal. and together with the usual 180 rule that means

base angle = (180 - 18)/2 = 162/2 = 81°.

3 0
2 years ago
If you horizontally compress exponential function f(x)=2^x by a factor by a of 5, which of these is the equation of the new func
Zolol [24]
The anwser is -2x my dude 

8 0
4 years ago
Read 2 more answers
Blanche bought a 5-year cd for $7100 with an apr of 2.8%, compounded quarterly, but she wants to take all her money out 9 months
lesantik [10]

Answer:

The money she will end up earning in interest on the cd = $11,352.90

Step-by-step explanation:

The formula for getting the accumulated amount(compounded) is;

A =P(1+\frac{r}{n})^n*t

Where

A = Accumulated amount  

P = principle (deposit)

r = interest rate and

n = no of times interest applied per time period.  

The interest is compounded quarterly so in one year it will be 4 times

In 5 years

n = (5×4)-3 = 17  (as she will withdraw 3 month before the completion of five years)

A = 7100(1+\frac{2.8}{100} )^17

  = 7100( 1 + 0.028)^17

  =  7100(1.028)^17  

   = 7100 * 1.599

  = 11,352.90

Therefore the money she will end up earning in interest on the cd = $11,352.90

8 0
3 years ago
The Law of Large Numbers states that as the number of trials of an experiment increases, the experimental probability of an even
Lena [83]

The law of large number states that , if number of trials increases in an experiment , in a fair trial where each outcome has same chance of occurring or having equal probabilities,when total number of trials  goes higher and higher the probabilities of each single outcome becomes approximately equal.→→In case of Experimental Probability

The Coin Possessed by Jake is a Magic coin.

Now Outcomes received by jake when he tosses the coin certain number of times.He flipped it 100 times, and found that it came up heads 64% of the time. He flipped it another 500 times, and it came up heads 57% of the time. He then flipped it 1000 times, and it came up heads 58% of the time. Then, he flipped it 1500 times, and it came up heads 62% of the time.

Based on the information provided , it appears that coin is not fair . It is  Unbiased.So , if we apply law of large numbers here after number of trials will go higher and higher , the chances of coming head will be more than tail i.e theoretical probability of the magic coin coming up heads is> 50%.

To test my hypothesis i have used the information provided by Jake, which shows that coin is not fair. The probability of head has more than tail i.e by 14%, 7%,8% and 12%.


8 0
3 years ago
Use the power-reducing formulas to rewrite each of the expressions in terms of the first power of the cosine. Sin^4cos^4
Katen [24]

Answer:

1/128 * (3 - 4cos2x + cos4x)

Step-by-step explanation:

See attachment for steps

6 0
3 years ago
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