Answers
Given:
The figure of a right triangle.
To find:
The measure of x.
Solution:
According to the altitude on hypotenuse theorem, the length of the altitude is the geometric mean of segments of the hypotenuse.
Let "h" be the height of the altitude and it divides the hypotenuse if two pieces of lengths "a" and "b", then
[tex]h=\sqrt{ab}[/tex]
In the given figure, 14 is the height of the altitude and it divides the hypotenuse if two pieces of lengths 24 and x. So, by using the altitude on hypotenuse theorem, we get
[tex]14=\sqrt{24x}[/tex]
Taking square on both sides.
[tex]196=24x[/tex]
[tex]\dfrac{196}{24}=x[/tex]
[tex]\dfrac{49}{6}=x[/tex]
Therefore, the value of x is [tex]\dfrac{49}{6}[/tex] units and its approximate value is 8.167 units.
Related Questions
need help.................
Answers
Answer:
10218.75
Step-by-step explanation:
You should divide the two shapes into a rectangle and a triangle, find the area of each, then add them together like so:
For the rectangle:
37.5*22.5 = 843.75
For the triangle:
To find the base: 75 - 37.5 = 37.5
To find the height, use pythagoream theorem.
62.5² = 37.5² + b²
3906.25 = 1406.25 + b²
3906.25 - 1406.25 = 2500
√2500 = 50.
The height is 50, so 50*37.5(1/2)
= 937.5
Now add them together
937.5 + 843.75
Jenny collects seashells and interesting rocks. She keeps her collections in boxes shaped like rectangular prisms. Her seashell box is 5 inches tall and has a volume of 200 cubic inches. Her rock box has a volume of 280 cubic inches. The area of the base of both boxes is the same. How tall is Jenny's rock box?
Answers
Answer:
7 in
Step-by-step explanation:
volume of a rectangular prism = width x height x length
width x length = area of the base
the sea shell box
200 = width x length x 5
width x length = 200/5 = 40cm^2
rock box
280 = 40in^2 x height
height = 280/40 = 7 in
I NEEDDD HEELPPPP
There are many cylinders with a height of 9 inches. Let rrepresent the radius in inches and V represent the volume in cubic inches
A. Complete the table relating the radius and volume of cylinders with each with a height of 9 inches. Write each volume as a multiple of it, or round to the nearest cubic inch.
Answers
hm its just that i dont know so maybe try do smth else
Priscilla has some grapes that she wants to give to her friends. She wants to give \dfrac{1}{4} 4 1 start fraction, 1, divided by, 4, end fraction of a kilogram of grapes to each friend.
Answers
Answer:
24
Step-by-step explanation:
Here is the complete question
Priscilla has some grapes that she wants to give to her friends. She wants to give 1/4 of a kilogram of grapes to each friend. If Priscilla has 6 kilograms of grapes, to how many friends can she give grapes?
Number of friends she can give grapes to = total kilograms / kilogram she wants to give to each friend
6 ÷[tex]\frac{1}{4}[/tex]
6 x 4 = 24 friends
Please answer thank you so much
Answers
Answer:
2.85 and 3.45
Step-by-step explanation:
it gpea by 20s I think
What is the value of x,when x+2=0
Answers
Answer:
x can be -2
Step-by-step explanation:
Let
f(x)=x+2
x+2=0
x= -2
Answer:
x = -2
Step-by-step explanation:
subtract 2 both sides x-2 0-2
first side left with x
second side -2
so your left with x=-2
please help! it’s urgent
The expression 9^3/2 • 27^1/2 is equivalent to (SHOW WORK)
1) 3^2
2) 3^9/2
3) 243^2
4) 243^3/4
Answers
Step-by-step explanation:
[tex] {9}^{ \frac{3}{2} } \times {27}^{ \frac{1}{2} } = {(3)}^{ \frac{3}{2} \times 2 } \times {(3)}^{ \frac{1}{2} \times 3} \\ = {3}^{3} \times {3}^{ \frac{3}{2} } \\ = {3}^{3 + \frac{3}{2} } \\ = {3}^{4\frac{1}{2} } \\ = {3}^{ \frac{9}{2} } [/tex]
Can u plz help me I give brainlest
Answers
2. e
3. a
4. f
5. d
6. b
AREA OF A TRAPEZOID PLEASE HELP
Answers
18 + 8 = 26
26 divide by 2 = 13
13 x 6 = 78
area is 78
What is the area of 30/7 and 1/3
Answers
Answer:
The answer is 7/4 = 1 3/4 = 1.75 = seven quarters (or one and three quarters) ... numbers, be sure to leave a single space between the whole and fraction part.
Step-by-step explanation:
Mai’s mother was 28 when Mai was born. Mai is now 12 years old.
How old will they be then?
Answers
Answer:
Mai is 12 and Mai's mother would be 40.
Donald used 1 inch cubes to make the rectangle prism shown. The volume of the prism is_____ cubic inches WILL GET BRAINLIEST
Answers
Answer:
am going to answer but it might be wrong
Step-by-step explanation:
i believe you do 12 Tom 6 * 8 because it's linked times with Tom's height which gives 576
Answer:
1, 30, 3, 90 :)
Step-by-step explanation:
you find the colume of each cube, then you go off of that
I need help in question 14
Answers
Answer:
Step-by-step explanation:
Amount she gets in a day = number of flower * cost of each flower
= (25x² +5x + 5)*5x
= 25x²*5x + 5x *5x + 5*5x
= 125x³ + 25x² + 25x
Amount she gets in 5 day = (125x³ +25x² + 25x)* 5
= 125x³*5 + 25x² *5 + 25x *5
= 625x³ + 125x² + 125x
Electric current flowing through wire produces heat that varies jointly as the resistance of the wire and the square of the current. The resistance of two wires are in the ratio
2:3. What current passing through the second wire will produce the same amount of heat as a current of 6 amperes
through the first wire?
Answers
Which expression is equivalent to 1 4 ( 3 x + 4 y ) + 3 ( 1 4 x + 2 3 y ) ? 3 2 x + 3 y 3 halves x plus 3 y 3 2 x + 2 y 3 halves x plus 2 y 3 4 x 2 + 3 y 3 fourths x squared plus 3 y 3 4 x 2 + 2 y
Answers
Answer:
3x/2 + 3y
Step-by-step explanation:
Given the expression 1/4 ( 3x + 4y ) + 3 ( 1/4 x + 2/3 y)
Open the parentheses
= 1/4(3x) + 1/4(4y) + 3(1/4x) +3(2/3y)
= 3/4 x + y + 3/4 x +2y
Collect like terms
3/4 x +3/4 x +y+2y
6/4 x + 3y
3x/2 + 3y
Hence the correct expression is 3x/2 + 3y
30
35
40
45
50
55
60
A teacher kept track of how much money each of her students raised for the fundraiser. She put the data in th
How many students raised $50 or more?
A)
2
B)
3
)
4
Answers
Answer:
4 because when you count all the x students who got $50 I could see that there where four
3. (a) Expand and simplify the following expression.
X(5x-2)-3(x^2-2x+7)
Answers
Answer:
5xX - 3x^2 - 2X + 6x - 21
Step-by-step explanation:
x(5x-2)-3(x^2-2x+7) =
5x^2-2x-3(x^2-2x+7)
=
5x^2-2x-3x^2+6x-21
=(combine the like terms)
2x^2-2x+6x-21
=
2x^2+4x-21
Please help me and also please show me work
Answers
2x
————-
3x-4
For a given set of rectangles, the length varies inversely with the width. In one of these rectangles, the length is 2 and the width is 42. For this set of rectangles, calculate the width of a rectangle whose length is 7.
Answers
Answer:
Width = 12
Step-by-step explanation:
L = k/w
Where,
L = length of the rectangle
w = width of the rectangle
k = constant of proportionality
length is 2 and the width is 42
L = k/w
2 = k/42
k = 42 × 2
k = 84
calculate the width of a rectangle whose length is 7.
L = k/w
7 = 84/w
7w = 84
w = 84/7
w = 12
Width = 12
Which decimal is equivalent to 40 percent
Answers
Answer:
40 percentage is 0.4 in decimal . I hope it helps you
Can Someone Help Me With This I Beg You.
Answers
12.
Given that cos θ= 1/2, we want to find the value of sin θ.
First, find the value of θ.
Answers
Answer:
sin(θ) = 0.86602540378
Step-by-step explanation:
To find the value of theta, we need to find do the acos of it
θ = acos(1/2)
θ = 60
and then you find sin(60)
sin(60) = 0.86602540378
help me plz! question shown in pic
Answers
Answer:
x=17
y=10
Step-by-step explanation:
hope this helps you
Plzzzzzz help!!!!!!!!
Answers
Claudia consigna sus cesantías en un fondo de inversión, pensando en obtener unas
ganancias, si las cesantías invertidas por Claudia son de $4.500.000 y el fondo de
inversión paga al 7.2% simple anual, determina el interés que producen las cesantías
de Claudia en 2 años.
Answers
Answer:
what I dont understand
Step-by-step explanation:
dgsvwhgshbsokakaa
2x + 2y = -16
put the following equation of a line into slope-intercept form, simplifying all fractions.
Answers
Answer:
y=-x-8
Step-by-step explanation:
2x+2y=-16
2x+2y+16=0
2x+16=-2y
x+8=-y
-x-8=y
Find the value of v (velocity) and V (volume) from the following equations.
a) v = u + at
Where u = 40, a = - 6, t = 4
( PLEASE HELP FAST)
Answers
Answer:
16m/s
Step-by-step explanation:
Given data
u = 40,
a = - 6,
t = 4
Let us substitute into the given expresssion to find v
v = u + at
v = 40+ -6*4
v= 40+ (-24)
v= 40-24
v= 16m/s
Please help
If you currently make 3200 per month and you are given a raise to 3400 per month, what is the percent change of your salary?
Answers
Answer:
6.25%
Step-by-step explanation:
% change= (chnage/original salary) × 100%
Change = new salary - original salary
Hence = 3400-3200=200
% change= (200/3200)×100%= 6.25%
can someone help me with this please
Answers
Answer:
Alternate Interior angles
Alternate Interior angles are angles that are within two parallel lines.
So for the above question, our pairs of Alternate Interior angles are:
= Angle 4 and Angle 6
Angle 3 and Angle 5
Alternate exterior angles
Alternate exterior angles are angles that are found outside the two parallel lines
For our above question, our pairs of Alternate exterior angles are:
= Angle 1 and 7
Angle 2 and Angle 8
Corresponding angles
= Angle 1 and Angle 5
Angle 2 and Angle 6
Angle 4 and Angle 8
Angle 3 and Angle 7
Step-by-step explanation:
Alternate Interior angles
= Angle 4 and Angle 6
Angle 3 and Angle 5
Alternate exterior angles
= Angle 1 and 7
Angle 2 and Angle 8
Corresponding angles
= Angle 1 and Angle 5
Angle 2 and Angle 6
Angle 4 and Angle 8
Angle 3 and Angle 7
Solve each equation
a. 1/7x + 3/4 = 9/8
b. 2/3 + 1/5x=5/6
c. 3/2 = 4/3x + 2/3
d. 0.3x + 7.9 = 9.1
e. 11.03 = 8.78 + 0.02x
Answers
Answer:
e i hope that is correct answer
Answer:
a. x=21/8
b.x=5/6
c.x=5/8
d.x=4
e.x=112.5
Step-by-step explanation: