Answer:
10 and please:
please see photo for detailed analysis
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
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.
please answer this question
[tex] \bold{\underline{\underline{\underbrace{Answer}}}} [/tex]
x = p and y = -q
Step-by-step explanation:
To findThe value of x and y
Givenpx + 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]
Find th areas and circumference 5 cm 2 cm
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
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
I have this question and I can’t figure it out.
Answer:
-1. 7,-1,0,2,-2
Step-by-step explanation:
Intergers are from negative to positive numbers
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?
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 homeThe 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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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
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:
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.
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
Look at the image below.
7
5
4
What is the area of the triangle?
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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please help me fast as you can
(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).
Please help Khan Academy is due soon and I must FINISH!!!!!
When you distribute, you independently multiply each term inside the parentheses by the term outside the parentheses.
So
6 x 7 = 42
and
6 x -4n = -24n
So the final answer is: 42 - 24n
*You cannot combine this answer any further since you are subtracting an unknown variable (n) from a number.
help will mark Brainliest!!
Answer:
A. (h+(h-2) =14)...
I hope this is right! And go on your test! :)
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
Answer:
50 miles
Step-by-step explanation:
20 multiplied by 2.5 = 50
Is 12 , 7 , 2 , -3 ... an arithmetic sequence ?
Answer:
Yes, you subtract 5 every time
I really need help on this one
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
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?
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
TrigonometryFrom 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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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
PLEASE HELP!!!! IMA DESPRATE!!!!!!!!Find the second term in the sequence defined by an = −5(n2 + 1n).
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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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.
Answer:
B I think..................................
Find the length of each arc. Round your answers to the nearest tenth.
5 m
285
Cuál es la respuesta???math
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 mThe 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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ayuda plis /help please
Answer:
a. 8
b. -12
c. 18
d. -22
e. 14
f. -2
g. -16
creo q seria asi no estoy muysegurappp
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?
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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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?
-15x+12
what is the 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)
• 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)
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
Use Pythagorean Theorem to solve for x. Show all work. Keep all answers in simplified
radical form.
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
25x^4-8y^4 is not the difference of two squares. Identify the correct explanation for this statement.
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
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
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
HELPPPPPPPPP MEEEE PLEASEEEEEE
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
- 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?
Answer:
8.4
Step-by-step explanation:
Add 8+8+8+9+9=42 then 42/5 equals 8.4
Hope this helps! ;-)