Given:
A figure of a right angle.
To find:
The value of x.
Solution:
We know that the measure of the altitude on the hypotenuse of a right right triangle is the geometric mean of the segments of the hypotenuse.
If the altitude "h", divides the hypotenuse in two segments "a" and "b", then
[tex]h=\sqrt{ab}[/tex]
In the given figure, the measure of the altitude is x and it divides the hypotenuse in two segments 3 units and 24 units.
Using the above theorem, we get
[tex]x=\sqrt{3\times 24}[/tex]
[tex]x=\sqrt{72}[/tex]
[tex]x=6\sqrt{2}[/tex]
Therefore, the required solutions for the given blanks are:
Blank 1: 72
Blank 2: 6
Blank 3: 2
Mrs. Smith cut an apple pie into 8 slices and a blueberry pie into 12 slices. She served
6 slices of the apple pie and 7 slices of the blueberry pie. Which correctly compares the
amounts of pie Mrs. Smith served?
Answer:
6/8>7/12
Step-by-step explanation:
6/8>7/12
36/48>28/48
I think
the ratio of hamburgers to hot dogs at the picnic is 25:10. If there are 100 hamburgers how many lunch itemd are there altogether?
Answer:
140 lunch items
Step-by-step explanation:
The unit ratio is 5:2
So if we take that and multiply it by 20 we get 100:40. 100+40 is 140
Answer:
140
Step-by-step explanation:
well if there is 25 hamburgers to 10 hot dogs, than 25 times four is 100 and 10 times four is 40 so 140 but i dont know if i did it right
5x - 3.3 = 7.2
What is the solution to the
equation?
A. X = 2.1
B. X = 5
C. X = 0.65
D. Not Here
Answer:
A
Step-by-step explanation:
5x=10.5
x=2.1
Write your answer using integers, proper fractions and improper fractions in the simplest form
PLEASE HELP
Answer:
y = ⁷/5x + 13/10
Step-by-step explanation:
Recall: equation in slope-intercept form is given as y = mx + b
Thus, let's rewrite 14x - 10y = -13 in this form.
14x - 10y = -13
Add -14x to both sides
-10y = -14x - 13
Divide both sides by -10
-10y/-10 = -14x/-10 - 13/-10
y = ⁷/5x + 13/10
find the distance between the points (-4,5), (-12,5)
Answer:
d = 8
Step-by-step explanation:
For:
(X1, Y1) = (-4, 5)
(X2, Y2) = (-12, 5)
Distance Equation Solution:
d=(−12−(−4))2+(5−5)2−−−−−−−−−−−−−−−−−−−−√
d=(−8)2+(0)2−−−−−−−−−−√
d=64+0−−−−−√
d=6–√4
d=8
Therefore, the distance between (-4,5), (-12,5) is 8.
Given Find the area of figured one area of figure two area of figured three area of figure four area of the whole figure
Answer:
culeous
Step-by-step explanation:
because it gives particular figured area
\
What the person above me said. :)
In a swimming competition, Peter swam 600m and Gabriel swam 2km .What is the ratio of Peter’s distance to Gabriel’s? Give your answer in its simplest form. b. Express the ratio 20cm to 15m in the form 1: n c. Express the ration 60 cm to 20 m in the form 1 : n
Answer:
2\6 is the ratio
Step-by-step explanation:
brainliest pls
step by step explenation
thank you
Please help me PLEASE
Answer:
the answer would be Point F
Answer:
The answer is F
Step-by-step explanation:
.HELP!!!!!...............
Answer:
132 yards
because its a hexagon so all sides are the same, meaning you do 22×6 = 132
find the measure of the angle theta
Answer:
A. 57.8°
Step-by-step explanation:
Reference angle = θ
Length of hypotenuse = 15
Length of adjacent side = 8
Recall, SOHCAHTOA.
Thus, apply CAH to find θ.
Cos θ = Adj/Hyp
Cos θ = 8/15
θ = Cos^{-1}(8/15)
θ = 57.7690474° = 57.8°
The first one, second one or third one??!
Answer:
the second one
Step-by-step explanation:
Answer: Second one
Step-by-step explanation: Because when the plus times the minus it will stay minus.
Find the volume of the cube below.
Two non-congruent circles intersect and have a common chord 40 cm
long. The centers of the circles are 63 cm apart. The radius of one circle is
52 cm. Find the radius of the other circle.
Please include all work and sketch
Answer:
25 cmStep-by-step explanation:
The chord and the segment between the centers form the diagonals of a kite with each pair of side being the radius of the circles.
As we know the long diagonal bisects the shorter one and they are perpendicular.
Using Pythagorean, lets find the distance between the center of a greater circle and the chord:
52² - (40/2)² = 2304 ⇒ √2304 = 48 cmThe distance from the center of smaller circle and the chord is:
63 - 48 = 15 cmNow using Pythagorean again, find the radius of the smaller circle:
15² + (40/2)² = 625 ⇒ √625 = 25 cmWhat amount of fencing (in feet) is needed?
(b)What is the total cost (in dollars) of the fencing if it costs $1.69 per foot?
John is going to plant spinach in a rectangular area of his garden. The rectangle is 11 feet long and 7 feet wide. What is the area of this rectangle
Answer:
Step-by-step explanation: A=wl=7·11=77
Answer:
75 sq ft i think
Step-by-step explanation:
Hi my question is what is ma name?
what do you mean there is no question
Write an expression for "six minus b".
Please help!!
Answer:
6 - b
Step-by-step explanation:
b doesn't have a value.
Khan uses 78ft of fence for a pen and the length is 25ft. What is the width
Answer:
The width is 14ft
Step-by-step explanation:
Given
[tex]Fence = 78[/tex]
[tex]Length = 25[/tex]
Required
Determine the width
To do this, we assume that the fence is a rectangle
So, we use the following formula.
[tex]Perimeter = 2 * [Length + Width}[/tex]
Where:
[tex]Perimeter = Fence = 78[/tex]
So, we have:
[tex]78= 2 * [25 + Width}[/tex]
Divide both sides by 2
[tex]39= 25 + Width[/tex]
Solve for Width
[tex]Width = 39 - 25[/tex]
[tex]Width = 14[/tex]
12.
The Mills Library has 1,007,199 books. The Springvale Library
has 907,082 books. Which of the following is the best
estimate of how many more books the Mills Library has than
the Springvale Library?
A.
100,000 books
B.
80,000 books
C.
10,000 books
D.
8,000 books
E.
1,000 books
What is the slope of the line that passes through (5,4) and (7,10)?
A. 3
B. -3
C. 2
D. -2
Answer:
A. 3
Step-by-step explanation:
I just did it on a calculator and got it correct
Use the quadratic formula to find both solutions to the quadratic equation
given below.
3x2 - X+5 = 0
A quadratic equation is written in the form of ax²+bx+c. The roots of the given quadratic equation are shown in options B and F.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
The roots of a quadratic equation can be found using the formula,
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
Given the quadratic equation 3x²-x+5 = 0. Comparing it with the general quadratic equation the value of a, b, and c will be 3, -1, and 5.
Now, if we substitute the values in the formula of the roots of the quadratic equation,
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4(3)(5)}}{2(3)}\\\\[/tex]
x = (1±√-59)/6
x = (1+√-59)/6, (1-√-59)/6
Hence, the roots of the given quadratic equation are shown in options B and F.
Learn more about Quadratic Equations here:
https://brainly.com/question/2263981
#SPJ2
Plsssss help it is khan academy!!!
Expand and simplify 3(C - 2d) - 2(2C - 3d).
Answer:
-C
Step-by-step explanation:
3(C - 2d) - 2(2C - 3d).
Distribute
3C - 6d - 4C +6d
Combine like terms
3C -4C -6d +6d
-C
Answer:
-C
Step-by-step explanation:
3(C - 2d) - 2(2C - 3d) =
= 3C - 6d - 4C + 6d
= 3C - 4C - 6d + 6d
= -C
please help me as fast as possible
Answer:
Skewed Right
Step-by-step explanation:
How many faces does the solid made from the net below have?
There are 5 triangles and 1 pentagon for a total of 6
The answer is 6
Plz hurry.....................
Answer:
It should be 115.2 meters^3
Step-by-step explanation:
Volume = 1/3 a^2h
= 1/3 x 12^2 x 2.4
= 115.2 m ^3
what does x and y =??????
Answer:
x=30. y=60
Step-by-step explanation:
DG is a straight segment so it sums to 180 degrees. ECG is a right angle so 90 degrees. The rest is described as 2x and x. So 3x=90 degrees. x=30. Eh is also a straight segment. since we know x, we know that ECD is 60 degrees. So y+y=120 degrees. 2y=120. y=60.
By increasing the down payment from 1,000 to 4,000, how does the total purchasing cost change?
Answer:
300%
Step-by-step explanation:
By increasing the down payment from 1,000 to 4,000, how does the total purchasing cost change?
If down payment is increased from 1000 to 4000
Icecrement = 4000-1000
Increment =3000
Percentage increase = 3000/1000×100
Percentage increase = 3000/10
Percentage increas=300%
After 1 year, $1,000 deposited in a savings account with simple interest had earned $30 in interest. What was the interest rate?
Answer:
3%
Step-by-step explanation:
The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.
I = PRT
30 = (1000)(R)(1)
30 = 1000R
R = 0.03
Multiply by 100 to get the percentage of 3%
find the value of
x!!!!!!!!!!
Answer:
x = 16
Step-by-step explanation:
7x - 12 + 5x = 180
12x = 192
x = 16
Answer:
x = 16
Step-by-step explanation:
180 = (7x-12) + 5x
192 = 12x
16 = x