Mathematics College

Use the information giving in the figure to find the length FH. If applicable, round your answer to the nearest whole number.

The lengths on the figure are not drawn accurately.

Use The Information Giving In The Figure To Find The Length FH. If Applicable, Round Your Answer To The

Answers

Answer 1

9514 1404 393

Answer:

  FH = 16

Step-by-step explanation:

ΔGHE is a 5-12-13 triangle.

ΔEHF is a 3-4-5 triangle with a scale factor of 4, so side FH is 4·4 = 16 units.

_____

(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) are all commonly used Pythagorean triples. The first two on the list are used in these triangles.

If you like, you can work out the numbers using the Pythagorean theorem, which tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides.

For ΔEHG, that is ...

  GE² = EH² + HG²

  13² = EH² + 5²

  EH² = 13² -5² = 169 -25 = 144

And for ΔEHF, ...

  FE² = EH² +HF²

  20² = 144 + HF²

  400 -144 = HF² = 256

  HF = √256 = 16

The length of side FH is 16 units.

Related Questions

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

Step-by-step explanation:

take 49 degree as reference angle

using cos rule

cos 49=adjacent/hypotenuse

0.65=x/16

16*0.65=x

10.4=x

Please Help!
Megan can paint three times faster than Julie. Together they can paint in 2 hours. How long would it take each of them alone? Which equation can be used to solve this?
(1/x)+(1/3x)=2
2(1/x)+2(1/3x)=1
(1/x)+(1/3x)=1
4(1/x)+2(1/3x)=1

Answers

Answer:

The second one

2(1/x) + 2(1/3x) = 1

Step-by-step explanation:

1/x + 1/(3x) = 1/2

multiply both sides by 2

2(1/x) + 2(1/(3x) = 1

A mechanic repaired 12 cars one day,
but the next day they repaired 7 cars.
What was the percent change?

Answers

Answer:

78

Step-by-step explanation:

when there is a five car diffrence its possible

Simplify the following expression.

1/2 divided by 1/10

A. 1 whole 1/3




B. 1/20



C. 5


D. 1/5

Answers

Answer:

I got C.)5

Step-by-step explanation:

The Unit Circle

Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth.
29°

a. (0.87, 0)
b. (0.87, 0.48)
c. (0.48, 0.87)
d. (1, 0.48)

Please select the best answer from the choices provided

Answers

Answer:

B. (0.87, 0.48)

Step-by-step explanation:

I calculated it logically

Nina purchases a gallon of milk for $3 and some tomatoes for $2 per pound
from the grocery store. Which equation represents the relationship
between the number of poundsp of tomatoes purchased and the total
amount x Nina spent at the grocery store? *

Answers

Answer:

x = 3 + 2p        (2p is 2 times p)

Plz help this is due today NO LINKS OR GROSS PICTURES OR I Will REPORT And please show work

Answers

Answer:

2,574 in.³

Step-by-step explanation:

The shape is a rectangular prism.

volume = height * width * depth

volume = 11 in. * 13 in. * 18 in.

volume = 2,574 in.³

If you roll a standard die one time, what is the probability that it will land on a 5?

Answers

Answer:

1/6

Step-by-step explanation:

A standard dice has 6 numbers. Convert it as a fraction, and you get 1/6 per probability of a number.

1/6 6 sides and only 1 side of it has 5

What will be the coordinates of the image after a translation up 4 units and right 6 units

Answers

Answer:

B

Step-by-step explanation:

To find the answer, translate each point and then use the process of elimination.

For the first point, the coordinates are (-4, -2). The -4 is x and the -2 is y. Translations up and down relate to the y value, while translations left and right relate to x. To translate up 4 units, add 4 to the y value of the coordinate. -2 + 4 is 2, so the y coordinate of the first point will be 2. That eliminated A and D.

For the second point, translate up 4 units (-5 + 4) and you get -1. So the y value of the second point will be -1. In option C, it is positive 1. So that leaves only B.

A model rocket is launch from a platform 17 feet high in the initial velocity is 40 ft The path of the rocket is modeled by the equation 16x^2 +40X +17=0 When does the rocket land

Answers

Answer:

It will be in the air until P(x) is zero.

P(x) = -16x2 + 32x = -16x(x - 2)

P(x) = 0 ⇒ x = 0 or x = 2

It starts on the ground at x = 0, so the total time in the air must be x = 2 seconds.

PLEASE HELP!! Find mCFD
180°
276
307
53°

Answers

Answer:

307°

Step-by-step explanation:

CF is a diameter of the circle. so, any arc connecting C and F has an arc angle of 180° (half-circle).

so, we need to add the arc angle FD.

we know the arc angle ED = 79°.

so, what is left to add is the arc angle FE.

the arc angle FE is the same as BC.

and the arc angle BC is the supplementary angle (means together they have 180°) to 132° :

BC = 180 - 132 = 48°

therefore,

the arc angle CFD = 180 + 48 + 79 = 307°

Help me with this.thank you

Answers

Answer: 3 miles.

Step-by-step explanation:

Since we are given the information that Ms. Wilson walked ¾miles each day. To calculate the total distance that Ms. Wilson will walk for 4 days, we have to multiply the distance walked each day by 4.

This will be:

= ¾miles × 4

= 3 miles

Therefore, Wilson walked a distance of 3 miles for the 4 days.

Two numbers have a difference of 12. The smaller of the two numbers is 3 less than double the other. What are the two numbers?

Answers

Answer:

-9,-21

Step-by-step explanation:

let the numbers be x and y and x>y

x-y=12

y=2x-3

x-(2x-3)=12

x-2x+3=12

-x=12-3

-x=9

x=-9

y=2(-9)-3=-18-3=-21

Find the missing side lengths. Leave your answers as radicals in simplest form.

Answers

Answer:

Step-by-step explanation:

cos(30) = Adj/hyp

cos(30)  = 6 /x

x = 6 / cos(30)

x = 6 / ( [tex]\sqrt{3}[/tex]/ 2)

x = 12 / [tex]\sqrt{3}[/tex]

(  12 / [tex]\sqrt{3}[/tex] )^2  = 6^2 + y^2

(  12 / [tex]\sqrt{3}[/tex] )^2 - 36 = y^2

144/3 -36 = y^2

48-36=y^2

12 = y^2

[tex]\sqrt{12}[/tex] = y

NEED THE AGE OF HIDE

Situation: A farmer in China discovers a mammal hide that contains 37% of its original amount of C-14. N = Noe No = inital amount of C-14 (at time t = 0) N = amount of C-14 at time t k = 0.0001 t = time, in years​

Answers

Answer:

54678 years

Step-by-step explanation:

Hello Good morning can someone give me the answer of this operation?

39 + 1 - 24 / 6=

Also can you tell me the order? :> Thanks!!

Answers

Answer:

The answer is 36

Step-by-step explanation:

Because 39+1=40

So then 40-24=16

and then divided by 6 is 36 because when you divide you multiply

Can anyone please help me with this? i need answers for all the blank spaces. I dont need to know how to do it, just the answers.

Answers

Answer:

[tex]\\(x- -1)^{2} + (y- -1)^{2} = 13[/tex]

so, -1, -1 and 13

What is the area of the circle? *.

Answers

The formula is pi times the radius squared (A = π r²).

So it might be 78.53

Answer:

19.63cm²

Step-by-step explanation:

1/4 x π x 5² = 19.63495cm²

                  = 19.63cm²

What is the vertex of x2 + 8x + 12?

Answers

Answer:

(-4,-4)

YW :))

Or you could of just looked it up cause thats what I did!!

If a1 = 6 and an
-5an-1 + 4 then find the value of a4.


Help

Answers

Answer:

A4

Step-by-step explanation:

Identify all of the transformation effects on the graph of the function f(x) = x when f(x) is replaced with -f(x + 4) - 6.
A)
shifted up 6 units
B)
shifted down 6 units
shifted left 4 units
D)
shifted right 4 units
E)
reflected over x-axis

Answers

Answer: B,C E put as brainliest

Step-by-step explanation:

Find the missing side of each right triangle (Pythagorean’s #Theorem)

Answers

Answer:

3

Step-by-step explanation:

The formula for the Pythagorean's Theorem is a^2 + b^2 = c^2, so first you know that hypotenuse is the longest side or the opposite side from which the right angle is which in this case is the 6 so you are looking for a leg rather then the hypotenuse which means we are going to be doing subtraction.

a^2 + b^2 = c^2

√27^2 - b^2 = 6^2

27 - b^2 = 36

-27            -27

         b^2 = 9

         b^2 = √9

         b = 3

A line has a slope of -5 and has a point of (-2,2) and (-1, -3). Write the equation for the line in slope intercept form.

Answers

9514 1404 393

Answer:

  y = -5x -8

Step-by-step explanation:

The y-intercept can be found from ...

  b = y -mx

Using the first point, we have ...

  b = 2 -(-5)(-2) = -8

Then the slope-intercept equation is ...

  y = mx + b . . . . . . . . for slope m and y-intercept b

  y = -5x -8

Answer:

the answer is

y=-5×-8

Step-by-step explanation:

:))

Identify JK. JK and JM are tangent to W.

Answers

Answer:

B. 8

Step-by-step explanation:

Based on the tangent theorem, when two tangents meet at an external point of a circle, the length of the two tangents are said to be equal in length.

Therefore:

JK = JM

Substitute

5x - 12 = x + 4

Collect like terms

5x - x = 12 + 4

4x = 16

4x/4 = 16/4

x = 4

✔️JK = 5x - 12

Plug in the value of x

JK = 5(4) - 12

JK = 20 - 12

JK = 8

Consider the following graph of y = f (x). I need help

Answers

Answer:

A.) 1 and 5

B.) -3

C.) [-1, 6]

D.) [-3, 2]

I don't know what E is

Step-by-step explanation:

Find the exact value of tan 270º in simplest form with a rational denominator.

Answers

Answer:

the tangent of 270 is undefined

Step-by-step explanation:

Tan is sin/cos

270 is at (0,-1), so the cos is 0 and sin is -1

tan is -1/0  which is undefined

9. Find the length AD of the shape given below, giving your answer correct to 2
decimal places.

Answers

Answer:

Length of AD = 10.47 meter (Approx.)

Step-by-step explanation:

Given:

Triangle ACB is a right angle triangle

Length of AC = 14.8 m

Length of CB = 5.5 m

Length of CD = 6.4 m

Find:

Length of AD

Computation:

Using Pythagorean theorem

Base = √Hypoteneus² - Perpendicular²

Length of AB = √14.8² - 5.5²

Length of AB = 13.74 m

Length of DB = √6.4² - 5.5²

Length of DB = 3.27

Length of AD = Length of AB - Length of DB

Length of AD = 13.74 - 3.27

Length of AD = 10.47

Length of AD = 10.47 meter (Approx.)

please help will give brainliest !!

Complete the following Truth Table

p q r ~p ∧ ~q ∨ r
T T T (a)
T T F (b)
T F T (c)
T F F (d)
F T T (e)
F T F (f)
F F T (g)
F F F (h)

Answers

I believe it’s C and E

Daniel is very extraverted.He admits that he is not comfortable unless surrounded by other people,and he energetically pursues activities that require the company of others.His cousin Bill,about the same age,is very introverted.Bill is self-reflective and prefers more solitary pursuits.Regardless of their personality characteristics,which of the following is likely to contribute most to their long-term happiness?
A) They are good friends who are willing to help each other in difficult times.
B) They bought a lottery ticket together and were lucky enough to win a huge jackpot.
C) They both have jobs that require very little effort.
D) They both have very few responsibilities and are careful to avoid committing themselves to any community service.

Answers

Answer:

A is the most likely answer

Step-by-step explanation:

but how is this a math question?

Solve the following quadratic function by utilizing the square root method. f(x) = 1 - x2 x = + [?]
​

Answers

Answer: 1

Step-by-step explanation:

If x = 0

then, f(x) = 1 - 0

f(x) = 1

x = ±1

Let f(x)=0

1-x²=0-x²=-1x²=1x=±1
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