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3 years ago

In AHIJ, the measure of ZJ=90°, HI = 65 feet, and IJ = 31 feet. Find the measure of

Mathematics

2 answers:

dusya [7]3 years ago

8 0

Answer:

H=28.4846≈28.5

Step-by-step explanation:

SOH-CAH-TOA

sinH= opposite/hypotenuse=31/65

sinH=31/65

H=28.4846≈28.5 Type into calculator and round to the nearest tenth of a degree.

28.5

svp [43]3 years ago

3 0

Answer:

Step-by-step explanation:

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Solve for x: x^2 + 14x + 49

Kaylis [27]

Answer: -7twice

Step-by-step explanation:

This is a question on root of quadratic equation. The interpretation of the question

x² 14x + 49 is

x² + 14x + 49 = 0.meaning that we are to find two possible values for x that will make the expression equal 0.

We can use any of the methods earlier taught. For the purpose of this class, I am using factorization methods

x² + 14x + 49 = 0

Now, find the product of the first and the last terms, is

x² × 49 = 49×²

Now find two terms such that their productbis 49x² and their sum equals 14x, the one in the middle.

We have several factors of 49x² but only one will give sum of 14x. Because of the time, I will only go straight to the required factors .

49x² = 7x × 7x and the sum gives 14x the middle terms..

Now we now replace the middle one by the factors and then factorize by grouping.

x² + 14x + 49 = 0

x² + 7x + 7x + 49 = 0

x(x + 7) + 7(x + 7) = 0

(x + 7)(x + 7). = 0

Now to find this value of x,

x + 7 = 0

x. = -7twice.

The root of the equation = -7twice.

3 0

3 years ago

If f(x) = x^2 - 2x+3 then what is f(-3)?

galben [10]

Answer:

f(- 3) = 18

Step-by-step explanation:

To evaluate f(- 3) substitute x = - 3 into f(x)

f(- 3) = (- 3)² - 2(- 3) + 3 = 9 + 6 + 3 = 18

5 0

3 years ago

Read 2 more answers

8. Solve for x. A 30 C 180 B 60 D 90

xxTIMURxx [149]

Answer:

 Given :

=> An equilateral Triangle i.e a triangle which have all it's side equal.

To Find :

=>The value of (2x)°

----_______----❣️

<h2>Solution </h2>

----_______----❣️

1. We know that the sum of a triangle is 180°

2.We also know that all the sides of a triangle are equal hence, thier corresponding Angles are Equal too.

So...

 Each angle measures 60°. .....(.1)

3. using(1),

We can find the value of x

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3 years ago

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Roman55 [17]

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4 0

3 years ago

Read 2 more answers

The Holcombe family went out to dinner

Jet001 [13]

Answer:

$13.77 per person in the family

Step-by-step explanation:

Cost of the meal = $54.65

Sales tax rate = 8%

Sales tax amount = 8% of $54.65

= 8/100 × 54.65

= 0.08 × 54.65

= $4.372

Tip = 18% of $54.65

= 18/100 × 54.65

= 0.18 × 54.65

= $9.837

Total cost of the dinner = Cost of the meal + Sales tax amount + Tip

= $54.65 + $4.372 + $9.837

= $68.859

There are 5 people in the Holcombe family

What was the cost per person for the meal, including sales tax and tip?

cost per person for the meal, including sales tax and tip = Total cost of the dinner / total number of people in the family

= $68.859 / 5

= $13.7718

Approximately

$13.77 per person in the family

5 0

3 years ago