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pentagon [3]
2 years ago
12

Which dimensions cannot create a triangle? a three sides measuring 6 cm, 8 cm, and 10 cm b three angles measuring 40 degrees, 70

degrees, and 65 degrees c three angles measuring 10 degrees, 25 degrees, and 145 degrees d three sides measuring 9 m, 15 m, and 9 m
Mathematics
2 answers:
NISA [10]2 years ago
7 0

Answer:

A,C,D are triangles, B is not.

Step-by-step explanation:

Let 3 sides of a triangle be a,b,c.

A triangle have the sum of 3 angles = 180 degree

and

a-b<c<a+b (similar for a and b)

a.<u> </u><u>three sides measuring 6 cm, 8 cm, and 10 </u><u>cm</u><u> </u>

Satisfied the a-b<c<a+b property -> triangle

b. <u>three angles measuring 40 degrees, 70 degrees, and 65 </u><u>degrees</u>

<u> </u>Total of 3 angles = 40+70+65 = 175 > 180

-> not triangle

c. <u>three angles measuring 10 degrees, 25 degrees, and 145 degrees</u>

Total of 3 angles = 10+25+145 = 180

-> triangle

d. <u>three sides measuring 9 m, 15 m, and 9 m</u>

Satisfied the a-b<c<a+b property -> triangle

dlinn [17]2 years ago
3 0

Answer:

C

All triangle must equal 180, 40 + 70 + 65 = 175

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Answer:

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Step-by-step explanation:

if you buy an item at $475 with 30% discount, you will pay 475 - 142.5 = 332.5 dollars.

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190 = 200^b, make b the subject​
MArishka [77]

Answer:

b = \frac{ln190}{ln200}

Step-by-step explanation:

Using the rule of logarithms

log x^{n} ⇔ nlogx

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2 years ago
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3 0
3 years ago
Solve the problem using the six-step method: A pharmacist found at the end of the day she had 7/4 as many prescriptions for anti
svet-max [94.6K]
<h3>Given</h3>

1 (female) pharmacist counting prescriptions at the end of the day

(prescriptions for antibiotics) = (7/4)×(prescriptions for tranquilizers)

33 = (prescriptions for tranquilizers) + (prescriptions for antibiotics)

<h3>Find</h3>

The number of (prescriptions for tranquilizers)

<h3>Solution</h3>

Let <em>x</em> represent the number of <em>prescriptions for tranquilizers</em>. Then the number of prescriptions for antibiotics is (7/4)x, and the total number of prescriptions is

... 33 = x + (7/4)x . . . . . . . . . . put the given information in the given relation

... 33 = (4/4)x + (7/4)x . . . . . . rewrite 1 as 4/4 so we can add to 7/4

... 33 = ((4+7)/4)x = (11/4)x . . . simplify

... 33×(4/11) = (4/11)×(11/4)x . . . multiply by the reciprocal of the coefficient of x

... 12 = x . . . . . . . . . . . . . . . . . simplify

The pharmacist had 12 prescriptions for tranquilizers.

The pharmacist had 33-12 = 21 prescriptions for antibiotics.

There was 1 pharmacist and 33 prescriptions.

7 0
3 years ago
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