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Lelechka [254]
3 years ago
12

(Geometry)

Mathematics
2 answers:
tia_tia [17]3 years ago
6 0

m∠B = x

m∠A = 4x

x + 4x = 180

5x = 180

x = 180/5

x = 36

m∠B = x = 36°

m∠A = 4x = 4 * 36 = 144°

Answer is b. 144, 36

emmasim [6.3K]3 years ago
3 0
M∠B = x
m∠A = 4x

x + 4x = 180
5x = 180
x = 180/5
x = 36

m∠B = x = 36°
m∠A = 4x = 4 * 36 = 144°

Answer is <span>b. 144, 36</span>
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sketch the curve represented by the parametric equations (indicate the orientation of the curve), write the corresponding rectan
pychu [463]

Answer:

Reduced equaton is 5x-3y+\frac{28}{3}=0.

Step-by-step explanation:

Given parametric equation is,

x=3t-5 and y=5t+1

Now, x=3t-5\implies t=\frac{x+5}{3} substitute in second equation we get,

y=\frac{5}{3}(x+5)+1

y=\frac{5}{3}x+\frac{28}{9}

\implies 5x-3y+\frac{28}{3}=0

which is the corresponding rectangular equation after eliinating the parameter.

Now consider,

y=\frac{5}{3}x+\frac{28}{9}

Of which,

Slope : \frac{5}{3}

when,

x=0, y=\frac{28}{9}=3.1

x=1, y=\frac{43}{9}=4.8; x=-1, y=\frac{13}{9}=1.4

x=2, y=\frac{58}{9}=6.4;  x=-2, y=\frac{-2}{9}=-0.2

x=3, y=\frac{73}{9}=8.1; x=-3, y=\frac{-17}{9}=-1.8

x=4, y=\frac{88}{9}=9.8; x=-4, y=\frac{-32}{9}=-3.6

x=5, y=\frac{103}{9}=11.4; x=-5, y=\frac{-47}{9}=-5.2

ans so on. Thus sketching th curve will look like given,

5 0
2 years ago
HALP PLEASE DO 6 AND 7 PLEASEEE
Harman [31]

Answer:

Step-by-step explanation:

6) Convert mixed fraction to improper fraction and then plugin the values in the formula.

l= 3\frac{1}{3} yard=\frac{10}{3}\\\\w = 1\frac{5}{9} yard=\frac{14}{9}\\\\h =2\frac{1}{4} yard=\frac{9}{4}\\\\Volume of wood shed = l * w *h\\\\= \frac{10}{3}*\frac{14}{9}*\frac{9}{4}\\\\= \frac{5}{3}*\frac{7}{1}*\frac{1}{1}\\\\=\frac{5*7}{3}\\\\=\frac{35}{3}\\\\=11\frac{2}{3} cubic yard

b) 10 cubic yard is less than 11 2/3 cubic yard. So, it will fit in the wood shed.

7) Right side rectangular prism:

l = 16 in

w = 5 in

h =  20 - 14 = 6 in

Volume 1 = 16 * 5 * 6 = 480 cubic inches

Left side rectangular prism:

l = 9 in

w = 5 in

h =14 in

Volume 2 = 9 * 5 * 14 = 630 cubic in

Volume of composite solid = 480 + 630 = 1110 cubic inches

7 0
3 years ago
If the probability of selecting, without replacement, 2 red marbles from a bag containing only red and blue marbles is 3 55 and
Marat540 [252]

Answer:

Step-by-step explanation:

Let T = the TOTAL number of marbles in the bag.

We are told that 3 of those marbles are red

P(select a red marble first) = 3/T

Once we've removed the first red marble, there are T-1 marbles remaining and 2 of them are red

So, P(select a red marble second) = 2/(T-1)

Okay, now let's use probability rules to answer the question....

P(select 2 red marbles) = P(select a red marble first AND select a red marble second)

= P(select a red marble first) x P(select a red marble second)

= 3/T x 2/(T-1)

= 6/(T² - T)

We're told that P(select 2 red marbles) = 3/55

So, we can write: 6/(T² - T) = 3/55

Cross multiply to get: 3(T² - T) = (6)(55)

Divide both sides by 3 to get: T² - T = (2)(55)

Evaluate: T² - T = 110

Rearrange: T² - T - 110 = 0

Factor: (T - 11)(T + 10) = 0

So, EITHER T = 11 OR T = -10

Since T cannot be negative, it must be the case that T = 11

6 0
2 years ago
What is the coterminal angle of 330 degrees
aleksandrvk [35]
Positive: 690

Negative: -30
4 0
3 years ago
James had $15,345.21 withheld from his income one year. He
puteri [66]

Answer:

$2,373.23

Step-by-step explanation:

-Tax refund is determined by comparing your total income tax to the amount that was withheld for federal income tax.

-Assuming that the amount withheld for federal income tax was greater than your income tax for the year, you will receive a refund for the difference.

#Refund =Withheld -Actual Tax liability=$15345.21-$12971.98=$2,373.23

Hence James' tax refund will be $2,373.23

5 0
2 years ago
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