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lana66690 [7]
3 years ago
15

Paul spelled 6 out of 16 words correctly on his spelling test. What fraction of the words did he misspell?

Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
5 0

Answer:

5/8 are spelled incorrectly

Step-by-step explanation:

There are 16 words

He spelled 6 correctly

That means he spelled 16-6 = 10 incorrectly

The fraction spelled incorrectly is wrong/total

10/16

Simplify by dividing the top and bottom by 2

5/8

bearhunter [10]3 years ago
3 0

Answer:

\frac{5}{8} is the fraction of the words did he misspell.

Step-by-step explanation:

Number of word spelled correct = 6

Number of total word in spelling test  = 16

Number of word spelled incorrect or misspelled = 16 - 6 = 10

Fraction of the words Paul misspell :

\frac{10}{16}=\frac{5}{8}

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Two streets bounding your triangular lot make an angle of 74∘. The lengths of the two sides of the lot on these streets are 126
ycow [4]

Answer: a) Yes, there is enough fance

b) 58.1° and 47.9°

c) The city will not approve, because 1/3 of the area is just 2220.5ft²

Step-by-step explanation:

a) using law of cosines: x is the side we do not know.

x² = 126² + 110² - 2.126.110.cos74°

x² = 20335.3

x = 142.6 ft

So 150 > 142.6, there is enough fance

b) using law of sine:

sin 74/ 142.6 = sinα/126 = sinβ/110

sin 74/ 142.6 = sinα/126

0.006741 = sinα/126

sinα = 0.849

α = sin⁻¹(0.849)

α = 58.1°

sin 74/ 142.6 = sinβ/110

sin 74/ 142.6 = sinβ/110

0.006741 = sinβ/110

sinβ = 0.741

β = sin⁻¹(0.741)

β = 47.9°

Checking: 74+58.1+47.9 = 180° ok

c) Using Heron A² = p(p-a)(p-b)(p-c)

p = a+b+c/2

p=126+110+142.6/2

p=189.3

A² = 189.3(189.3-126)(189.3-110)(189.3-142.6)

A = 6661.5 ft²

1/3 A = 2220.5

So 2300 >  2220.5. The area you want to build is bigger than the area available.

The city will not approve

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3 years ago
a candidate received 430,500 of the 750,000 ballots cast in an election. What percent of the vote did this candidate receive?
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ss7ja [257]

Answer:

p=25,\\q=12

Step-by-step explanation:

In (ax+b)(cx+d)=acx^2+bcx+dax+bd, notice the third term of the quadratic in standard form is formed entirely by b\cdot d.

Therefore, in 12x^2 - 13x - 7175 = (x-p) (qx + 287):

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