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elena-s [515]
2 years ago
7

10. Your bedroom ceiling is 10 feet high and is 2 times as high as the living room ceiling. Write and solve an equation with one

variable to find the height h of the living room ceiling.​
Mathematics
1 answer:
navik [9.2K]2 years ago
4 0

Answer:

h = 5 ft, which does not make sense since a 5 ft ceiling is kind of small

Step-by-step explanation:

b = 10 ft and h = b / 2, so h = 10/2, h = 5 ft

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Will give brainliest!
miv72 [106K]

Answer:

it means that the roots of the quadratic equation is real and distinct and that means that 40 is a positive value

6 0
2 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
3 years ago
Using the properties of absolute values, simplify the expression x×|x|, if it is known that:
Westkost [7]

Answer:

  • x ≥ 0: x|x| = x²
  • x < 0: x|x| = -x²

Step-by-step explanation:

<u>For x ≥ 0</u>

  |x| = x

so

  x|x| = x(x) = x²

<u>For x < 0</u>

  |x| = -x

so

  x|x| = x(-x) = -x²

7 0
3 years ago
A fisherman leaves his home port and heads in the direction N 70 ° W. He travels d1 = 40 mi and reaches Egg Island. The next day
Gnesinka [82]

Answer:

A)82.02 mi

B) 18.7° SE

Step-by-step explanation:

From the image attached, we can see the angles and distance depicted as given in the question. Using parallel angles, we have been able to establish that the internal angle at egg island is 100°.

A) Thus, we can find the distance between the home port and forrest island using law of cosines which is that;

a² = b² + c² - 2bc Cos A

Thus, let the distance between the home port and forrest island be x.

So,

x² = 40² + 65² - 2(40 × 65)cos 100

x² = 1600 + 4225 - (2 × 2600 × -0.1736)

x² = 6727.72

x = √6727.72

x = 82.02 mi

B) To find the bearing from Forrest Island back to his home port, we will make use of law of sines which is that;

A/sinA = b/sinB = c/sinC

82.02/sin 100 = 40/sinθ

Cross multiply to get;

sinθ = (40 × sin 100)/82.02

sin θ = 0.4803

θ = sin^(-1) 0.4803

θ = 28.7°

From the diagram we can see that from parallel angles, 10° is part of the total angle θ.

Thus, the bearing from Forrest Island back to his home port is;

28.7 - 10 = 18.7° SE

4 0
3 years ago
100/32 can someone help me how much would this be in fraction
kap26 [50]
Your answer would be 3 and 1/8
7 0
3 years ago
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