A triangular pyramid is formed from three right triangles as shown below.
Use the information given 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.
28
53
117

A Triangular Pyramid Is Formed From Three Right Triangles As Shown Below.Use The Information Given In

Answers

Answer 1

Answer:

  FH = 108

Step-by-step explanation:

The given figure requires we use the Pythagorean theorem to write two relations involving right triangle side lengths. The Pythagorean theorem tells us the square of the hypotenuse is the sum of the squares of the other two sides.

__

Triangle EGH:

  EG² = GH² +HE²

  GH² = EG² -HE² = 53² -28² = 2025 . . . . . solve for GH², use given values

Triangle FGH:

  FG² = GH² +FH²

  FH² = FG² -GH² = 117² -2025 = 11664 . . . . solve for FH², use known values

  FH = √11664 = 108 . . . . . take the square root

The length FH is 108.


Related Questions

Find the lateral area of the prism.
11cm
4cm
4cm

Answers

Answer:

120 cm squared

Step-by-step explanation:

1.the bases in this case are in blue,these are not included in lateral surface area.

first we must find the area of the top & bottom squares.

(4x4=16)

Then the side rectangles

(11x4=44)


then We add,there are two squares and two rectangles included in the lateral surface area.So we can do 16x2=32 and 44x2=88.

now that we have all our measurements we can add these numbers

88+32=120 cm squared

Which boxes have a volume of 120 cubic feet: box a: a length of 5 feet, width of 4 feet, a height of 6 feet. Box B: length of 7 ft, width of 7 ft and height of 6 feet. Box c: length of 3 feet, width of 6ft, height of 4 feet. Box D: length of 10 feet, width of 3 feet, height of 4 feet. Also fatso

Answers

a. to find volume of a cube/rectangular prism. multiply height x width x length


If a graph of y=-9x + 3 were changed to a graph of y=-9x + 1, how would the
y-intercept change?
A. The y-intercept of the new graph would shift up 2 units.
B. The y-intercept of the new graph would shift down 2 units.
C. More information is needed to determine the change.
D. The y-intercept would remain the same.

Answers

Answer:

B I think..................................

help will mark Brainliest!!​

Answers

Answer:

A. (h+(h-2) =14)...

I hope this is right! And go on your test! :)

HELPPPPPPPPP MEEEE PLEASEEEEEE

Answers

Answer:

525 ml

Step-by-step explanation:

7 + 4 = 11 ml  

825 ml ÷ 11 ml = 75 units for 1 part ( or A or B ) of drug

75 × 7 ml = 525 ml of part A

and

75 × 4 = 300 ml of part B

A few years ago, Simon Powell purchased a home for $200,000. Today, the home is worth $350,000. His remaining mortgage balance is $150,000. Assuming that Simon can borrow up to 80 percent of the market value, what is the maximum amount he can currently borrow against his home?

Answers

The maximum amount Simon Powell can borrow against his home is $130,000.

How to calculate the maximum amount that can be borrowed against a home

The maximum amount Simon Powell can borrow against his home can be calculated using the following formula:

Maximum amount that can be borrowed = (Current value of the home * Percentage of the market value that can be borrowed) - Mortgage balance …………………. (1)

Substituting all the relevant values into equation (1), we have:

Maximum amount that can be borrowed = ($350,000 * 0.80) - $150,000 = $130,000

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In a group of 60 students, 14 students take Algebra I, 20 students take
Algebra II, and 7 students take both subjects. How many students don't take
either of these subjects?
OA. 19
B. 28
O
C. 32
D. 33

Answers

The answer is D, or 33. While the question may be misleading, it’s only referring to Algebra II. 20 + 7 = 27, and 60 - 27 = 33. Therefore, your answer is 33.

ABC School has 150 students enrolled who do not speak English. It is also known that 6/7 of the students can recognize all 26 letters. How many students still needs to learn the entire alphabet? Type your answer to the nearest whole number.

Answers

Answer:

about 21 students

Step-by-step explanation:

total students: 150 students enrolled

recognize all letters: 6/7 of the students

To find 1/7 of the students: divided the 150 by 7

150/7 = 21.4285           this is for 1/7th of students

since 1/7th of the students need to learn the alphabet (7/7 - 1/7 = 6/7)

OR

150/7 = 21.4285           this is for 1/7th of students

150/7 x 6 = 128.57        this is for 6/7th of students

150 - 128.57 = 21.4285

The probability that an international flight leaving the United States is delayed in departure in (event D) is .27. The probability of an international flight leaving the United States is a transpacific flight (event P) is .58. The probability that an international flight leaving the U.S. is a transpacific flight and is delayed in departing is .14.
(Q) What is the probability that an international flight leaving the United States is delayed given that the flight is a trnaspacific flight?

Answers

The probability that an international flight leaving the United States is delayed given that the flight is a trnaspacific flight is 0.241

How to determine the probability?

The given parameters are:

P(D) = 0.27

P(P) =0.58

P(D and P) = 0.14

The required probability is then calculated using:

P(D | P) = P(D and P)/P(P)

This gives

P(D | P) = 0.14/0.58

Evaluate

P(D | P) = 0241

Hence, the required probability is 0.241

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Is 12 , 7 , 2 , -3 ... an arithmetic sequence ?

Answers

Answer:

Yes, you subtract 5 every time

25x^4-8y^4 is not the difference of two squares. Identify the correct explanation for this statement.

Answers

Answer:

8y4 is not a perfect square.

Step-by-step explanation:

Knowing that; A difference of two perfect squares,  A2 - B2  can also be factored into  (A+B) • (A-B)

Verification;

(A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Notes;

AB = BA is the commutative property of multiplication.

AB + AB equals zero and is therefore eliminated from the expression.

Answer:

25  is the square of  5

8 is not a square

Use Pythagorean Theorem to solve for x. Show all work. Keep all answers in simplified
radical form.

Answers

Step-by-step explanation:

a^2 +b^2 = c^2

8^2 +4^2= c^2

64 + 16= c^2

80= c^2

take square root of both sides and you get

c=8.94

You might need:
Calculator
f(t) = 2 + 19t + 60
1) What are the zeros of the function?
Write the smaller t first, and the larger t second.
smaller t=
larger t =
2) What is the vertex of the parabola?

Answers

Here is the answer (look at the photo)

please help me fast as you can ​

Answers

(i) 47 * 1 = 47

Why? This is because the Multiplication Identity Property states that any number w multiplied by 1 is equal to w

(ii) 135 * 0 = 0

Why? The Zero Property of Multiplication states that 0 multiplied by any number is 0.

(iii) 3 * 5 = 5 * 3

Why? The order numbers are multiplied in does not impact the answer's value according to the Commutative Property of Multiplication

(iv) 7 + 0 = 7

Why? The Zero Property of Addition states that 0 added to any number x is equal to x

(v) 125 * 315 - 125 * 215 = 125 * (315 - 215) = 12500

Why? The Distributive Property states that a * c - a * b = a * (c - b).

A scale drawn on the map shows that 1 inch represents 20 miles. If two cities
are 2.5 inches apart on the map, what is the distance between them in real
life?
O A. 50 miles
O B. 20 miles
O C. 40 miles
D. 30 miles


Answers

Answer:

50 miles

Step-by-step explanation:

20 multiplied by 2.5 = 50

ayuda plis /help please ​

Answers

Answer:

a. 8

b. -12

c. 18

d. -22

e. 14

f. -2

g. -16

creo q seria asi no estoy muysegurappp

A shark spotter is standing at lookout point 25m above the waters edge. He spots a shark in the water at an angle of depression of 50. If the swimmer that is also in the water is sim from the foot of the lookout spot, how far is the shark from the swimmer?​

Answers

The shark is 29.78 from the swimmer.

What is angle of depression?

Angle of depression is the angle between the line of sight and the vertical or perpendicular to the earth surface.

Analysis:

The height of the lookout, the distance of shark from swimmer and line of sight form a right angle triangle.

So that, tan 50 = distance of shark from swimmer/25

Distance of swimmer = 25 tan 50

Distance of swimmer from shark = 25(1.1910 = 29.78m

In conclusion, the distance of the shark from the swimmer is 29.78m

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The distance of the shark from the swimmer is 21m

Trigonometry

From the question, we are to determine the distance the shark is from the swimmer

In the diagram,

S is the position of the shark

M is where the shark spotter is standing

and B is the position of the swimmer

The distance between the shark and the swimmer is /BS/

Using SOH CAH TOA

[tex]tan 50^\circ = \frac{25}{/BS/}[/tex]

[tex]1.19175 = \frac{25}{/BS/}[/tex]

∴ [tex]/BS/ = \frac{25}{1.19175}[/tex]

/BS/ = 20.97755

/BS/ ≅ 21 m

Hence, the distance of the shark from the swimmer is 21m.

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Select the correct answer.
1
Which number is the additive inverse of –10 1/4
O A.
0
Ang
OB.
10 1/4
oc. 4/41
OD. -4 1/10
Reset

Answers

Answer:

The additive inverse of the number -10 1/4 is +41/4

The additive inverse of any number is such a number added to the given number to get zero.

Let the additive inverse of the given number be "x", hence:

-10 1/4 + x = 0

x = 0 - (-10 1/4)

x = 10 1/4

x = 41/4

Hence the additive inverse of the number -10 1/4 is +41/4

Find th areas and circumference 5 cm 2 cm

Answers

Answer:

The Area is 10cm, and the perimeter is 14cm

Step-by-step explanation:

Area:

a = w · l    5cm · 2cm =10cm

Perimeter:

p = 2(l+w)  2(5 + 2) = 14

which of the follow r-values represents the no or low coorelation

Answers

The r-value that represents the no or low correlation is 0.0

How to determine the r-value?

For a r value to show no correlation, then the r value must be 0 or close to 0

Since the r values are not given, then we can assume that the r value is 0

Hence, the r-value that represents the no or low correlation is 0.0

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Find the length of each arc. Round your answers to the nearest tenth.
5 m
285
Cuál es la respuesta???math

Answers

The length of the arc with a central angle of 285 degrees and a radius of 5 meters is 24.9 meters

How to determine the arc length?

The given parameters are:

Central angle = 285Radius, r = 5 m

The length of the arc is calculated using:

[tex]L = \frac{\theta}{360} * 2\pi r[/tex]

So, we have:

L = 285/360 * 2 * 3.14 * 5

Evaluate

L = 24.9

Hence, the length of the arc is 24.9 meters

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I have this question and I can’t figure it out.

Answers

Answer:

-1. 7,-1,0,2,-2

Step-by-step explanation:

Intergers are from negative to positive numbers

please answer this question​

Answers

[tex] \bold{\underline{\underline{\underbrace{Answer}}}} [/tex]

x = p and y = -q

Step-by-step explanation:

To find

The value of x and y

Given

px + qy = p² - q²(equation 1)

qx - py = 2py

Solution

{Taking equation 2}

[tex] \sf qx - py = 2py[/tex]

{Taking py on RHS}

[tex] \sf qx = 2py \ + py [/tex]

{Dividing both sides by q

[tex] \sf x = \frac{2pq}{q} + \frac{py}{q} \\ \\ \sf x = 2p + \frac{py}{q} (equation \: 3)[/tex]

{Now substituting the value of equation 3 in equation 1}

[tex] \sf p(2p + \frac{py}{q} ) + qy = {p}^{2} - {q}^{2} \\ \\ \sf 2 {p}^{2} + \frac{ {p}^{2}y }{q} + qy = {p}^{2} - {q}^{2} [/tex]

{Taking 2p² on RHS and taking LCM on LHS}

[tex] \sf \frac{ {p}^{2}y + {q}^{2} y }{q} = {p}^{2} - {q}^{2} - 2 {p}^{2} \\ \\ \sf \frac{y( {p}^{2} + {q}^{2} ) }{q} = - ( {p}^{2} + {q}^{2} )[/tex]

{Dividing (p² + q²) both sides}

[tex] \sf \frac{y}{q} = - 1 \\ \\ \red{ \boxed {\bold{y = - q}} }[/tex]

{Now using value of y in equation 3}

[tex] \sf x = 2p - \frac{pq}{q} \\ \\ \sf x = 2p - p \\ \\ \red{ \boxed{ \bold{ x = p}}}[/tex]

-15x+12
what is the answer

Answers

−3(5x−4) is the correct answer

Answer:

If you need to factor this equation the answer is =3(-5x+4)

Step-by-step explanation:

-15x+12

-15/3 = -5      

3/12 = 4

= 3(-5x+4)

The probability distribution for a
random variable x is given in the table.
X
-5 -3 -2 0
2 3
Probability .17
.13
.33 .16 .11
.10
Find the probability that x ≤ 0

Answers

Answer:

[tex]P(x\leq 0)=0.37[/tex]

Step-by-step explanation:

[tex]P(x\leq 0)= P(0)+P(2)+P(3)P(x\leq 0)= 0.16+0.11+0.10\\P(x\leq 0)=0.37[/tex]

Answer: 0.79

Step-by-step explanation:

• footballs – There are 8 footballs.
• basketballs – Two more than twice the number of footballs are
basketballs.
• baseballs – Four less than 5 times the number of footballs are
baseballs.
• softballs – Six more than half of the baseballs are softballs
Type of Ball
Numerical Expression for the Number of Balls
Total Number of
Each Type of Ball
football (given) 8
basketball
baseball
softball
Mainly need the last part (Numerical Expression for the Number of Balls)

Answers

Answer:

8 futballs

basketballs 18

beisballs 36

softballs 24

Step-by-step explanation:

dos mas del doble (2) de balones de fut = 8x2 = 16, 16+2 = 18

cuatro menos de 5 veces las pelotas de fut = 8x5 = 40, 40-4 = 36

seis mas de la mitad de beis = 36/2 = 18, 18+6 = 24

LISTO

Look at the image below.
7
5
4
What is the area of the triangle?

Answers

Step-by-step explanation:

the area of a triangle is always

baseline × height / 2

where baseline and height are perpendicular (with a 90° angle) to each other.

it does not matter, if the height is inside or outside of the triangle.

so, in our case the area is

4×5/2 = 2×5 = 10 units²

The area of the triangle given in the figure is 10 units².

What is Area?

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Given a triangle.

The formula to find the area of the triangle is,

Area  = 1/2 × base × height

Base = 4 units

Height = 5 units

Area of the triangle = 1/2 × 4 × 5

                                 = 10 units²

Hence the area of the triangle is 10 units².

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I really need help on this one

Answers

Answer:

-3x+9y=-57

Substitute the x for 4

-3(4)+9y=-57

-12+9y=-57

Add +12

-12+9y=-57

+12 +12

9y=-45

Now divide the 9 to get y by itself

9y=-45

÷9 ÷9

y=-5

So the value of y is -5

☆anvipatel77☆

•Expert•

Brainly Community Contributor

- On her first three quizzes Jenna averaged 8 correct answers. On the next two quizzes she averaged 9 correct answers. What decimal number shows Jenna's average score on all five quizzes?​

Answers

Answer:

8.4

Step-by-step explanation:

Add 8+8+8+9+9=42 then 42/5 equals 8.4

Hope this helps! ;-)

PLEASE HELP!!!! IMA DESPRATE!!!!!!!!Find the second term in the sequence defined by an = −5(n2 + 1n).

Answers

The second term of the given sequence aₙ = -5(n² + 1n) when solved gives us; a₂ = -20

How to find the nth term of a sequence?

We are given the formula for a sequence as;

aₙ = -5(n² + 1n)

Where n is the position of the term.

Now, for the first term, we will have;

a₁ = -5(1² + 1(1))

a₁ = -10

The second term of the sequence is;

a₂ = -5(2² + 1(2))

a₂ = -20

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