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2 years ago

The measures of two angles in a triangle are 33 and 102 degrees

Mathematics

2 answers:

Goshia [24]2 years ago

8 0

Answer:

The third angle is 45 degrees

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

33+102 + x = 180

135+x =180

x = 180-35

x =45

The third angle is 45 degrees

lisabon 2012 [21]2 years ago

7 0

Answer:

The third angle is 45

SO all the angles inside of a triangle added up is 180

We have two sides

33+102=135

180-135=45

SO third angle is 45

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The sum of all the positive terms in the geometric sequence 54, - 36, 24, - 16, ... is

Annette [7]

Answer:

B. 97.2

Step-by-step explanation:

The sequence of positive terms is ...

54, 24, 10 2/3, 4 20/27, ...

This sequence has first term 54 and common ratio 24/54 = 4/9. The sum of the infinite series is ...

S = a1/(1 -r) = 54/(1 -4/9) = 54(9/5)

S = 97.2

The sum of the positive terms in the infinite series is 97.2.

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1 year ago

Researchers make a one-sample z interval to estimate the proportion of adults who would say they learned

Leno4ka [110]

Answer:369

Step-by-step explanation:

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2 years ago

suppose that you have 3000$ to invest. which investment yields the greater return over a 10 year period: 8.04% compounded daily

Ksenya-84 [330]

Answer: Option A: 8.04% compounded daily

<u>Step-by-step explanation:</u>

$A = P\bigg(1+\dfrac{r}{n}\bigg)^{nt}\qquad where\\\\\bullet A = \text{accrued amount (principal plus interest earned)}\\\bullet P = \text{principal (amount invested)}\\\bullet r = \text{rate (in decimal form)}\\\bullet n=\text{number of times compounded in one year}\\\bullet t=\text{time (number of years)}\\\\\\Option\ A:\\A = \text{unknown}\\P=3000\\r=8.04\%\rightarrow 0.0804\\n=\text{daily}\rightarrow 365\\t=10\\\\A=3000\bigg(1+\dfrac{0.0804}{365}\bigg)^{365\times 10}\\\\.\ =\$ 6,702.79$

$Option\ B:\\A = \text{unknown}\\P=3000\\r=8.1\%\rightarrow 0.081\\n=\text{quarterly}\rightarrow 4\\t=10\\\\A=3000\bigg(1+\dfrac{0.081}{4}\bigg)^{4\times 10}\\\\.\ =\$ 6,689.37$

Option A results in the greater amount of money.

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3 years ago

Jerome will also order t-shirt for the volunteers he will order both adults and child size t shirt

RideAnS [48]

a >= 200

5 a + 2.5 c <=1500

Step-by-step explanation:

Step 1 :

Let c be the number of child t shirt and a be the number of adult t-shirts

Given the cost of adult t-shirt is $5 and the cost of child t-shirt is $2.50

Step 2 :

Inequality 1

Given that Jerome needs at least 200 adult t-shirts .

So the minimum quantity of adult t-shirts should be 200

Hence we have a >= 200

Step 3 :

Inequality 2

Given that the total cost should be less that $1500

We have,

5 a + 2.5 c <=1500

5 0

2 years ago

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Basile [38]

Answer:

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2 years ago

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