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12345 [234]
3 years ago
6

What is the quotient (2x3 − 15x2 − 10x + 16) ÷ (x − 8)?

Mathematics
1 answer:
lozanna [386]3 years ago
6 0
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Scott sets up a volleyball net in his backyard. One of the poles, which forms a right angle with the ground, is 12 feet high. To
Assoli18 [71]

Answer:

Length of the rope = 15.6 ft.

Step-by-step explanation:

Given:

Height of the pole from the ground = 12 ft

Adjacent distance from the pole = 10 ft

We have to find the length of the rope attached by Scott to secure the pole.

According to the question :

In forma  right angled triangle as shown in the figure.

We have to find the measure of the hypotenuse.

Length of rope = Hypotenuse measure

Let the length of the rope = "h" ft

Using Pythagoras formula.

⇒ (hypotenuse)=\sqrt{opposite^2+ adjacent^2}

⇒ Plugging the values.

⇒ h=\sqrt{12^2 + 10^2}

⇒ h=\sqrt{144 + 100}

⇒ h=\sqrt{244}

⇒ h=15.62 ft

The length of the rope, rounded to the nearest tenth is 15.6 ft.

6 0
3 years ago
A vector is used to express a car's change in position, or displacement, by tracking its motion over a large area defined by a c
kirill [66]

Answer:

C(8,14)

Step-by-step explanation:

initial point (-3,-5) and terminal point (5,9)

vector form=(change in x, change in y)

V=(Xf-Xi,Yf-Yi)

V=[5-(-3), 9-(-5)]

V=(8,14)

8 0
3 years ago
Read 2 more answers
A random sample of 60 mathematics majors spent an average of $200.00 for textbooks for a term, with a standard deviation of $22.
tangare [24]

Answer:

20 +/- $6.74

= ( $13.26, $26.74)

The 90% confidence interval for the difference in average amounts spent on textbooks (math majors - English majors) is ( $13.26, $26.74)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x1-x2 +/- margin of error

x1-x2 +/- z(√(r1^2/n1 + r2^2/n2)

Given that;

Mean x1 = $200

x2 = $180

Standard deviation r1 = $22.50

r2 = $18.30

Number of samples n1 = 60

n2 = 40

Confidence interval = 90%

z(at 90% confidence) = 1.645

Substituting the values we have;

$200-$180 +/-1.645(√(22.5^2/60 +18.3^2/40)

$20 +/- 6.744449847374

$20 +/- $6.74

= ( $13.26, $26.74)

The 90% confidence interval for the difference in average amounts spent on textbooks (math majors - English majors) is ( $13.26, $26.74)

3 0
3 years ago
For a pair of triangular earrings how can you tell if they are similar?
Arlecino [84]
Polygons - here we just have triangles - are similar if the corresponding angles are congruent and the corresponding sides are in proportion. Polygons are congruent if in addition to corresponding angles be congruent, corresponding sides are congruent
5 0
2 years ago
Read 2 more answers
Which inequality represents this sentence?
butalik [34]
A because D is less than or equal to, C is saying that 9 is bigger than 12 and B is incorrect because the sign is going to point towards the bigger number
4 0
3 years ago
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