In ΔEFG, the measure of ∠G=90°, the measure of ∠F=47°, and FG = 6.5 feet. Find the length of EF to the nearest tenth of a foot.

Answers

Answer 1

Answer:

55

Step-by-step explanation:

Answer 2

Answer:

9.5 feet

Step-by-step explanation:

What function uses the ADJACENT and the HYPOTENUSE?

\text{SOH-CAH-TOA}

SOH-CAH-TOA

\cos F = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{6.5}{x}

cosF=

hypotenuse

adjacent

=

x

6.5

\cos 47=\frac{6.5}{x}

cos47=

x

6.5

x\cos 47=6.5

xcos47=6.5

Cross multiply.

\frac{x\cos 47}{\cos 47}=\frac{6.5}{\cos 47}

cos47

xcos47

=

cos47

6.5

Divide each side by cos 47.

x=\frac{6.5}{\cos 47}=9.5308\approx 9.5\text{ feet}

x=

cos47

6.5

=9.5308≈9.5 feet


Related Questions

The volume of a sphere is 113.1 cm3; find the diameter of the sphere.

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Answer:

del

Step-by-step explanation:

d

If £2000 is placed into a bank account that pays 3% compound interest per yea
how much will be in the account after 2 years?​

Answers

Answer:

$2120

Step-by-step explanation:

method:

3% x $2000 = 60

100%

$60 per year = $120 per year

Ans: $2120 will be in the account

Which of the ratios below is equivalent to 8:5?

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Answer:

Nobody can answer this question if you don't tell us what are the ratios that are 'below'. We have no answers to choose from...

A sweater is 15% off. The regular price is $24. What is the price after the discount is taken off?

Answers

Answer:

$20.40 after the discount

Step-by-step explanation:

To find 15% of 24, you multiply 24 and 0.15, which gets you 3.6

Then, to find the price after the discount, you subtract the 15% (the 3.6). So, 24 - 3.6 = $20.40

3.60 cent because when you multiply 0.15 by 24$ you get 3.6 .

marco has a rope that is 16 feet long. He ties his rope to liam and pams with a square knot that uses 1 1/8 feet of rope. How long are the three ropes tied together? Write and solve an equation

Answers

answer: 16(1 1/8x3)=y y=54

Step-by-step explanation:

1 1/8x3= 3 3/8

3 3/8x16=54

The length of the three ropes together is 54 feet.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Marco has a rope that is 16 feet long. He ties his rope to Liam and pams with a square knot that uses 1¹/₈ feet of rope.

The length will be calculated as,

E 16(1¹/₈x3)

E = 1¹/₈x3 = 3³/₈

E = 3³/₈x16

E = 54 feet

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Can someone help me with this circle geometry problem (question 1) ty

Answers

Step-by-step explanation:

1. Radius=3cm, diameter=6cm

Circumference=3.14×6cm=18.84cm

2. Radius=6in, diameter=12in

Circumference=3.14×12in=37.68in

3. Radius=9mm, diameter=18mm

Circumference=3.14×18mm=56.52mm

answer, please. I need help.

Answers

Answer:

Step-by-step explanation:

[tex]\text{rule }(x^a)(x^b)=x^{(a+b)}\\ \\ (b^{-7})(b^3)=b^{(-7+3)}\\ \\ b^{-4}=\frac{1}{b^4}[/tex]

Answer:

1/ b^4

Step-by-step explanation:

because -7 +3 = -4 but it can only be positive. So you but the -4 to the bottom to become b^4

Riley counted the number of balls on one layer of a box, 34. The box has 8 layers. How many balls can the box hold?

Answers

Answer:

8 times 34= 272

Step-by-step explanation:

i need help please provide with the correct answer. it is due at 11:59 pm

Answers

I think the answer is d

Select all the expressions that have the same value.
33

34

62

63

92

93

Answers

Answer:

There's no expressions.

Look at this triangle.
B
11 cm
4 cm
Work out length AC.
(my teacher told me to start out with c first, c= an something like that I don’t remember)

Answers

Step-by-step explanation:

<c =90 °

So, Pythagoras theorem can be used,

Hypotenuse ² = base ² + altitude ²

AB²=AC²+BC²

11²=AC²+4²

11²-4²=AC²

121-16=AC²

Root 105=AC

AC=10.2 cm

The length of AC is 10.25 cm

What is pythagorean theorem ?

If ΔABC is a right angle triangle, then

AB² = BC²+AC²

where AB = Hypotenuse, BC & AC are adjacent sides of the right angle

What is the required length of the side ?

Given, hypotenuse = AB = 11 cm

One of adjacent sides = BC = 4 cm

We have to find the length of AC.

Using pythagorean theorem,

AB² = BC²+AC²

⇒ AC² = AB² - BC²

⇒ AC² = 11²-4²

⇒ AC² = 121-16

⇒ AC = √105

⇒ AC = 10.25

So the length of AC = 10.25 cm

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Terry puts 14 comic books on each shelf of a bookcase. The expression 14s can be used to find the number of books on the shelves. Use the expression to find the total number of comic books on 7 shelves.

Answers

Answer:

dump-the-books-out

Step-by-step explanation:

i-think

Nicholas spent 40% of his savings to pay for a video game that cost him $40. How much money was in his savings to begin with?

Answers

Answer:

nah and yall kids stop looking on here to cheat ronnie wilson

Step-by-step explanation:

Please help me!
[One Step Inequalities]

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Answer:

C

Step-by-step explanation:

Divide each side by 5

I need help ASAP plsss

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Answer:

dude that's easy 1,36 2,18 3,12 ,4,9 6,6

Step-by-step explanation:

Answer:

A., B., E., F., G.

Step-by-step explanation:

Hope this helped! Have a nice day!

PLEASE HELP QUICK!!

Which of the following is the correct factorization of the
polynomial below?
64x3 + 125
O A. (4x + 5)(16x2 - 12x+5)
O B. (4x + 5)(16x2 - 20x+ 25)
O C. (16x2 + 5)(5x-16x + 125)
O D. The polynomial is irreducible.

Answers

Answer:

B. (4x+5)(16x2−20x+25)

Step-by-step explanation:

64x3+125

=(4x+5)(16x2−20x+25)

In ratio a:b, the first term a is called
O antecedent
O extreme
O consequent
mean

Pls someone help me

Answers

It is called the antecedent

Oliver is trying to keep up with the current amount of money in his bank account he uses positive numbers to show his the positive and negative numbers to show his withdraw which expression best represents Oliver making 8 withdraws $25

Answers

Answer: c

Step-by-step explanation:

The expression that best represents Oliver making 8 withdraws $25 should be considered as 8(-25).

Calculation of the expression:

Since the positive and negative numbers to show his withdraw which expression best represents Oliver making 8 withdraws $25

So here the withdrawn amount should be $25

And, the earning is $8

So here the expression be like 8(-25).

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PLS HELP ME PLSSSSSSS

Answers

Answer:

3/10

Step-by-step explanation:

Brainliest is much appriciated

Answer:

3/10    i believe, if it is right

Step-by-step explanation:

Help For A Brainliest Please !

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Answer:

ab = 6

a+b = 5

Step-by-step explanation:

ILL GIVE 50 POINTS AND BRAINLIEST!!! ;)

Answers

Answer:

X=5

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

<EAD is 180° as a whole

All that is needed is to subtract 100° and 20° from 180°

now you are left with x° which is 60° left over from the 180°

HELP ASAP!!!
Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures cell phones, can be modeled by the polynomial 2x2 + 55x + 10. The cost, in dollars, of producing the cell phones can be modeled by 2x2 – 15x – 40. The variable x represents the number of cell phones sold.

What expression represents the profit, and what is the profit if 240 cell phones are sold?

40x – 30; $2,400
40x – 30; $9,570
70x + 50; $16, 850
70x + 50; $28,800

Answers

Answer:

Given that the equation of the revenue is R=2x2+55x+10 and the equation of the cost is C=2x2 – 15x – 40, you will get the profit by subtracting the revenue from the cost: R-C=P. Therefore, P=(2x2+55x+10)-(2x2 – 15x – 40). You will get P=70x+50 where x is is the number of cellphones sold. If 240 cellphones are sold, then the profit is 16850 dollars.

Step-by-step explanation:

The profit expression is 70x + 50 and the profit if 240 cell phones are sold is $16,850

How to calculate profit

Revenue, R = 2x² + 55x + 10Cost, C = 2x² – 15x – 40

where,

x = number of cell phones sold.

Profit = Revenue - cost

= (2x² + 55x + 10) - (2x² – 15x – 40)

= 2x² + 55x + 10 - 2x² + 15x + 40

Profit = 70x + 50

If x = 240

Profit = 70x + 50

= 70(240) + 50

= 16,800 + 50

= $16,850

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Which of the following angles are congruent to 5? Select all that apply.

Answers

Step-by-step explanation:

in my opinion, maybe it's ∠1 and ∠4

∠1 and ∠4 are congruent to ∠5 by corresponding and alternate angle theorem.

What is a transversal?

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

Given, line l and line m are intersected by a transversal line t.

Angles congruent to ∠5 is ∠4 by alternate interior angle theorem.

∠1 is also congruent to ∠5 by the corresponding angle theorem.

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FREE BRAINLIST FOR CORRECT ANSWERS

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Can I get brainly?

Is a triangle with side lengths of 5, 10, and 15 a right triangle? Explain

Answers

Answer:

No, it is not a right triangle.

Step-by-step explanation:

Using the property of the right triangle, square root (5^2 + 10^2) = 5root(5), and it is not equal to 15, so it is not a right triangle.

If triangle is a right triangle we can use Pythagorean theorem, c^2=a^2+b^2
c=15, a=5, b=10
15^2=5^2+10^2
225=25+100
225=125
225 is not equal to 125 therefore, this triangle is not a right triangle.

Please help if possible!!

Answers

Answer:

I think 12 is B yh I hope so

Answer:

11. a

Step-by-step explanation:

-2x + 5( 3 + 2x )

-2x + 15 + 10x

8x + 15

Twelve inches is cut from a board. The
remaining board is 18 inches long. Write
an equation to represent the situation. I NEED WORK TOO

Answers

Answer:

x-12=18

x=30

Step-by-step explanation:

x-12=18

that's the equation

add 12 to each side, cancelling out the -12

x=30

ok so is that what you mean by work?

What is the value of the expression below when z=6z=6?
2z2 -8z-2

Answers

I think its 6z I’m not to great on the subject but this may be it

Order these angels from least to greatest
13 and 14

Answers

13. angle N, angle R, angle Q

14. angle G, angle H, angle J

Explanation: The shortest side is always across from the smallest angle and the longest side is always across from the largest angle. For instance, since RQ is the shortest side, angles N is the smallest angle, and since NR is the longest side, angle Q is the longest angle. Because of this, the order of angles from least to greatest is angle N, angle R, and angle Q.

The solution is

a) Angle N < Angle R < Angle Q

b) Angle G < Angle H < Angle J

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

a)

Let the first triangle be ΔNQR

QR = 17 m

NQ = 21 m

NR = 24 m

Now , the angle opposite to the side having the largest length will be the largest angle

And , the angle opposite to the side having the smallest length will be the smallest angle

So , substituting the values in the equation , we get

Angle opposite to QR = Angle N

Angle N is the smallest angle in ΔNQR

And , Angle opposite to NR = Angle Q

Angle Q is the largest angle in ΔNQR

Therefore , Angle N < Angle R < Angle Q

b)

Let the second triangle be ΔGHJ

HJ = 6 in

GJ = 7 in

GH = 10 in

Now , the angle opposite to the side having the largest length will be the largest angle

And , the angle opposite to the side having the smallest length will be the smallest angle

So , substituting the values in the equation , we get

Angle opposite to HJ = Angle G

Angle G is the smallest angle

Angle opposite to GH = Angle J

Angle J is the largest angle

Therefore , Angle G < Angle H < Angle J

Hence , the angles are in the order

a) Angle N < Angle R < Angle Q

b) Angle G < Angle H < Angle J

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Central High wants to estimate the number of seniors who plan to go to a 4-year college. Answer the following.

Answers

Answer:

390 seniors

Step-by-step explanation:

13/20=.65

600x .65=390

390 would plan to go to college
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