In ΔEFG, the measure of ∠G=90°, GE = 32 feet, and EF = 41 feet. Find the measure of ∠E to the nearest tenth of a degree.

Answers

Answer 1

Answer:

m∠E = 38.7°

Step-by-step explanation:

If you make a drawing it will help.  What you have is a right triangle where you are given the adjacent side to ∠E and the hypotenuse.

The cosine of a angle = adjacent side/hypotenuse.

Therefore cos E = 32/41

arccos (32/41) = 38.7°

Answer 2

Answer:

The answer is 38.7

Step-by-step explanation:


Related Questions


Can some one help me with number 1

Answers

Answer:

The graph going down answers are 3,-1, -5, and then -9

Step-by-step explanation:

Find the area of triangle ABC.
Give your answer correct to 1 decimal place.
А
9 cm
C
10 cm
B
8cm​

Answers

The area of the triangle ABC is 34.2 square centimeters

How to determine the triangle area?

The complete question is in the image

Start by calculating the semi-perimeter using:

s = 0.5 * (a + b + c)

This gives

s = 0.5 * (9 + 10 + 8)

Evaluate

s = 13.5

The area is then calculated as:

[tex]A = \sqrt{s * (s - a) * (s - b) * (s - c)[/tex]

This gives

[tex]A = \sqrt{13.5 * (13.5 - 9) * (13.5 - 10) * (13.5 - 8)[/tex]

Evaluate

A = 34.2

Hence, the area of the triangle ABC is 34.2 square centimeters

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James uses 5 1/2 bags of soil to fill 1/4 of his garden. How many bags will James use to fill his entire garden?

Answers

Answer:

22 bags

Step-by-step explanation:

Multiply 5 1/2 by 4 and you'll get 22

Answer:

22 bags

Step-by-step explanation:

5 1/2 for 1/4....4/4 for the whole garden. So you can multiply 5 1/2 times 4

aidez moi en math je donne le maximum des points!​

Answers

Step-by-step explanation:

‌[tex]\large \mathcal{Answer}[/tex]

Answer:

Ils sont amicaux, regardez sur le site nosdevoirs

Step-by-step explanation:

Help me I give crown :--(((

Answers

Answer:

The answer is 170 meters

Step-by-step explanation:

hope it helps :)

-g + 2(3+g) = -4(g+1)

Answers

Answer:

g= -2

Step-by-step explanation:

Answer:

g=−2

Step-by-step explanation:

regroup: 2(3+g)−g=−4(g+1)

expand: 6+2g−g=−4g−4

simplify: 6+g=−4g−4

add 4 to both sides: 6+g+4g=−4

simplify again: 6+5g=−4

5g=−10

divide 5

g=-2

Which graph best represente y 6x13

Answers

Answer:

B

Step-by-step explanation:

B is most likely to be the answer

Which equation could be solved using this application of the quadratic formula?
-2 + 22 – 4(1)(-4)
2(1)
I

Answers

Answer:

C. x^2 + 2x - 1 = 3

Step-by-step explanation:

The standard form of a quadratic equation is

ax^2 + bx + c = 0

We need to use the quadratic formula and the given expression to find the values of a, b, and c.

The quadratic formula is

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

Where the formula has -b, the problem has -2, so b = 2.

Now we have

ax^2 + 2x + c = 0

In the denominator, where the formula has 2a, the problem has 2(1), so a = 1.

Now we have

x^2 + 2x + c = 0

Inside the root, the quadratic formula has -4ac. the problem shows -4(1)(-4). Since we already know that a = 1, then c = -4.

Now we have

x^2 + 2x - 4 = 0

Let's look at choice A.

x^2 + 1 = 2x - 3

Subtract 2x from both sides. Add 3 to both sides.

x^2 - 2x + 4 = 0   This is not it!

Let's look at choice B.

x^2 - 2x - 1 = 3

Subtract 3 from both sides.

x^2 - 2x - 4 = 0     This is not it!

Let's look at choice C.

x^2 + 2x - 1 = 3

Subtract 3 from both sides.

x^2 + 2x - 4 = 0     This is it!

Answer: C. x^2 + 2x - 1 = 3

[tex]x^{2} +2x -1=3[/tex] equation could be solved using this application of quadratic formula.

Option D is correct.

What is quadratic equation?

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is  [tex]ax^{2} +bx +c =0[/tex], where a and b are the coefficients, x is the variable, and c is the constant term.

Quadratic formula

The quadratic formula is used to find the roots of a quadratic equation.

[tex]x=\frac{-b \pm \sqrt{b^{2} -4ac} }{2a}[/tex]

According to the question

[tex]x=\frac{-2 \pm \sqrt{2^{2} -4(1)(-4)} }{2.1}[/tex]

We all know the quadratic formula for finding the factors of a quadratic equation

[tex]x=\frac{-b \pm \sqrt{b^{2} -4ac} }{2a}[/tex]

By comparing two formulas we get a = 1, b = 2, c = -4

Standard form of quadratic equation is [tex]ax^{2} +bx +c =0[/tex]

Substitute a = 1, b = 2, c = -4 in the standard form of quadratic equation

⇒ [tex]x^{2} +2x-4=0[/tex]

We can write it as

⇒ [tex]x^{2} +2x -1=3[/tex]

[tex]x^{2} +2x -1=3[/tex] equation could be solved using this application of quadratic formula.

Option D is correct.

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$862.00, 43% off
new price is $

Answers

Answer:

491.34

Step-by-step explanation: (862 x 43)/100 = $370.66 then you 862 - 370.66 = $491.34 i hope this helps

Answer:

$491.34

Step-by-step explanation:

Take $862 x .43 = 370.66

then you take 862.00 and subtact it by 370.66

then you get $491.34

Write an equation in point-slope form for the line that passes through
each point with the given slope (-1,-2) m=3

Answers

Answer:

y+2=3(x+1)

Step-by-step explanation:

y-(-2)=3(x-(-1))

y+2=3(x+1)

Emily is entering a bicycle race for charity. Her mother pledges $0.60 for every 0.5 mile she bikes. If Emily bikes 10 miles, how much will her mother donate?

Answers

The answer is $12
Hope this answer helps :)

How do you write 20% as a fraction?

Answers

Answer:

20% = 20/100 or 2/10 or 1/5

Step-by-step explanation:

Answer:

20% as a fraction can be 20/100 1/5 2/10

Step-by-step explanation:

the ratio of distilled water to ammonia is 50/1 . How are the ratios in related to this ratio​

Answers

Let’s say your using pints. For every 50 pints of distilled water there is one pint of ammonia. Equal to 50/1

Which property is used to write the equivalent expressions below? (2x7) x3=2x (7x3)

Answers

Answer:

Associative Property of Multiplication

Step-by-step explanation:

The Associative Property of Multiplication states that the answer to an equation will stay the same even if the grouping of the numbers changes.

Answer:

9

Step-by-step explanation:9x5

The ratio of yellow sweets to purple sweets is 5:4.

Alice eats 3 purple sweets and the ratio is now 5:3.

Work out how many sweets there were at the beginning.

Answers

Answer:

27

Step-by-step explanation:

The ratio of yellow : purple = 5 : 4 = 5x : 4x ( x is a multiplier )

After Alice eats 3 purple sweets, then ratio is

5 : 3 = 5x : 4x - 3

Express the ratio in fractional form, that is

[tex]\frac{5}{3}[/tex] = [tex]\frac{5x}{4x-3}[/tex] ( cross- multiply )

5(4x - 3) = 15x

20x - 15 = 15x ( subtract 15x from both sides )

5x - 15 = 0 ( add 15 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

Then

number of sweets at beginning = 5x + 4x = 9x = 9(3) = 27

Find the slope and the y-intercept of the line.

y=5x-6

slope:
y-intercept: :

Answers

Answer:

slope is 5 y intercept is -6

Step-by-step explanation:

Mark bought a car for x dollars. One year later the car was 0.85x. What was the percent decrease.

Answers

Answer:

[tex]Let~the~percentage~decrease~be~equal~to~y.\\Then,\\0.85x = x-\frac{y}{100}(x)\\or, 0.85x = x-0.01xy\\or, 0.85x = x(1-0.01y)\\or, 0.85 = 1-0.01y\\or, 0.01y = 1-0.85 = 0.15\\or, y =15\\So, ~the~decrease~of~the~price~is~15%.[/tex]

Alternative method:

[tex]Percentage~decrease = \frac{Initial~Rate-Final~rate}{Initial~Rate}(100) \\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\frac{1-0.85}{1}(100) = 0.15(100)=15[/tex]

Answer:

thr percent decrease is 15%

Step-by-step explanation:

you get 1.00 which represent beginning price u subtract the current price 1.00-0.85 you get0.15 which is 15%

Mary has 4 gallons of water. She wants to put 2/3 gallon in each bottle. How many bottles can she fill?

Mary can fill 4 bottles of water.

Mary can fill 14 bottles of water.

none of these

Mary can fill 6 bottles of water.

Answers

Answer:

she can fill 6 if them

Step-by-step explanation:

2/3 ÷ 4 = 1/6

Help!!! I give CROWN T-T

Answers

Answer:

120, remember the angles have to add up to 180

Step-by-step explanation:

Answer:

60 because 30+30=60 and a triangle is 180° so 180-60= 120 and it's a line so 180-120=60 ifykyk

Please help 2/4
Solve the binomial
4(3d-1)(3d+1)

Answers

Answer:Isolate the variable by dividing each side by factors that don't contain the variable.

d=−5

Step-by-step explanation:

Find the volume of each figure below. Round to the nearest 10th, if necessary

Answers

Answer:

1692.5 ft³

Step-by-step explanation:

Thank you for giving the equation which would help me in solving. We know that our h which is the height is 11 ft. We have to find what the radius. Radius is the have of the diameter. In the figure, the 14 ft is the diameter. So in order to find the radius, we would divide it by 2.

14 ft ÷ 2 = 7 ft

h = 11 ft

r = 7 ft

Now plug it in the equation.

[tex]\pi[/tex]

In the equation you have this sign above. Remember this is the pi sign which is 3.14.

V = 3.14r²h

V = 3.14(7)² × 11

V = 3.14(49) × 11

V = 153.86 × 11

V = 1692.5 ft³

Hope this helps, thank you :) !!

What is 13 divided by 0.22 and round to the nearest hundredth

Answers

Answer:

59,09

.........................................................

URGENT will give brilliant mark For the reaction 2Na + Cl2 ------ 2NaCl, how many grams of sodium chloride can be produced from 500g of chlorine? ( atomic masses : Na = 23 , Cl = 35.5 g/mol) *

1 point

112 g

319 g

409 g

825 g​

Answers

Answer:

825 g

Step-by-step explanation:

Here's my work:

500g Cl2 l   1mol Cl2  l  2 mol NaCl   l  58.5 g NaCl

                l   71 g Cl2    l  1 mol Cl2      l    1 mol NaCl  

= 823.94  - the rounding can be a little off

The first thing you have to do is convert the 500 g of Cl2 into moles.  So you get the mass of Cl which is 35.5, but Cl is diatomic by itself so you multiply 35.5 x 2 and get 71.   now on the third column you are comparing the mol ratios of the equation.  The equation is 2Na + Cl2 ---> 2NaCl, so you see that there is no coefficient in front of Cl2 so that means there is 1 mol, and then you see that in the product there is a  coefficient of 2 in front of NaCl so that means there is 2 moles.  Then finally you have to convert the moles backs into grams where you just add the masses of Na and Cl .  You multiply across the top  and then divide that number by the bottom row.

Jayden is buying an Ipod that has a price tag of $85. At the register, the cashier applies a 20% discount to the $85 price. How much will Jayden pay for the Ipod after the 20% discount?

Answers

Well 20% of 85 is 17

So minus 17 from 85 = £68

Help me with this ASAP

Answers

Answer:

The slope is 3To graph it you should put a point at any of the points that are in the table. Some easy ones are (0,0) and (2,6)

Step-by-step explanation:

To find the slope you need to follow the formula shown below.

Slope (m) = ΔY/ΔX

Now solve

ΔY = 6 – 0 = 6

ΔX = 2 – 0 = 2

Write as a fraction

6/2

Convert to a number

6/2 = 3

And you have your slope. Now you just have to plot the points on the graph. As I said before, you can use any two points from the table.

Solve the inequality.
x + 7 > 18
The solution is __.
Graph the solution.

Answers

Answer:

7+18=25 that's the answer

(6x^2−5x)−(4x^2−3x+4)

Answers

Answer:

2 • (x + 1) • (x - 2)

Step-by-step explanation:

2 times (x + 1) times (x - 2)

If the expression below has a positive value, which in the inequality represents all possible values of x in the expression? -3x. A. X< 0. B. X > 0 C. X ≤ 0. D. X ≥ 0

Answers

Answer:

[tex]x < 0[/tex]

Step-by-step explanation:

Given

The expression is:

[tex]-3x > 0[/tex]

Required

Determine the inequality

[tex]-3x > 0[/tex]

Divide both sides by -3

[tex]\frac{-3x}{-3} > \frac{0}{-3}[/tex]

The inequality sign changes after the division because we're dividing be a negative number (-3).

So, we have:

[tex]x < 0[/tex]

Hence, the inequality is: [tex]x < 0[/tex]

16. Find the angle complementary to the angle 80°.
O A. 99°
O B. 180°
O C. 90°
O D. 10°

Answers

Answer:

Its 10!

Step-by-step explanation:

Complementary mean 90°!

80+10=90

Hope this helps, and don't forget to follow!

Given that for all values of
6) = 4x+p
x) = x + 1
and f = 12x + 4
where p and are constants
Work out the values of panda

Answers

Answer:

f=−px+8x−2/x

Step-by-step explanation:

its a fraction

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