Answers
Given:
A figure of a right triangle and an altitude form the right angle vertex to hypotenuse.
To find:
The value of x.
Solution:
From the given figure, it is clear that the altitude divides the hypotenuse in two segments x and 8.
Length of altitude = 18
If an altitude divide the hypotenuse in 2 segments, then according to the geometric mean theorem, the length of the altitude is the geometric mean of two segments of hypotenuse.
By using geometric mean theorem, we get
[tex]18=\sqrt{x\times 8}[/tex] [tex][\because \text{Geometric mean of }a,b,c:b=\sqrt{ac}][/tex]
[tex]18^2=8x[/tex]
[tex]324=8x[/tex]
Divide both sides by 8.
[tex]\dfrac{324}{8}=x[/tex]
[tex]40.5=x[/tex]
Therefore, the value of x is 40.5.
Related Questions
A school store has 1200 pencils and sells 25 per day the manager reorders when the number of pencils in stock is 650
Answers
Answer:
He reorders after 22 days
Answer:
(1200÷25) ÷ans= days
Step-by-step explanation:
A,B,C, or D?
__________
Answers
2x + 8 = 14 solve the equation you may find using algebra tiles to be helpful
Answers
Answer:
x = 3
Step-by-step explanation:
2x + 8 = 14
2x = 6
x = 3
Answer:
3
Step-by-step explanation:
subtract 8 from both sides
then divide 2 from both sides to get x = 3
How do I complete the square for 4x^2+ 8x-5= 0?
Answers
Answer:
man I have no idea dude I don't really know squares if you're talking about square root I really don't know
Answer:
x = [tex]\frac{1}{2}[/tex], - [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
This is not so fun!
[tex]4x^{2} + 8x - 5 = 0\\[/tex]
Step 1: Move the 5 to the right side
[tex]4x^{2} +8x = 5[/tex]
Step 2: Divide thru by 4
[tex]x^{2} + 2x = \frac{5}{4}[/tex]
Step 3: Divide 2 (from 2x) by 2 and square the result and add that to both sides of the equation.
2/2 = 1 1 squared = 1
[tex]x^{2} + 2x + 1 = \frac{5}{4} +1 = \frac{9}{4}[/tex]
Step 4: Factor the left side
[tex](x + 1)^{2} = \frac{9}{4}[/tex]
Step 5: Take the square root of both sides
x + 1 = ±[tex]\sqrt{\frac{9}{4} }[/tex] = ± [tex]\frac{3}{2}[/tex]
Step 6: Move the 1 to the right side and add the results
x = -1 ± [tex]\frac{3}{2}[/tex] = -1 + [tex]\frac{3}{2}[/tex] or -1 - [tex]\frac{3}{2}[/tex]
= [tex]\frac{1}{2}[/tex] or - [tex]\frac{5}{2}[/tex]
And bingo, you have the solutions by completing the square. Lot of fun, huh.
Suppose $5,000 is divided into two bank accounts. One account pays 5% simple interest per year and the other pays 7% per year. If after one year there is a total of $310 in interest between the two accounts, $3,000 was invested at 5%
Answers
Answer:
What is the question?
Step-by-step explanation:
Pls help ill give 5.0/5 for helpful answer
Answers
Answer:
Step-by-step explanation:
[tex]3h+\sqrt{2}=\sqrt{5}\\ \\ 3h=\sqrt{5}-\sqrt{2}\\ \\ h=\frac{\sqrt{5}-\sqrt{2}}{3}[/tex]
3h+sqrt.2=sqrt.5
Answer:
h=sqrt.5-sqrt.2/3 (the very last option)
Method:
You have to get h on its own so you start by subtracting sqrt.2 on both sides, you subtract because you have to reverse the original symbol (+ becomes -, ^2 becomes sqrt., * becomes /, and the other way around, etc.), once you do that you have to divide by 3 on both sides and you get your answer.
Visual:
1. 3h+sqrt.2=sqrt.5
-sqrt.2 -sqrt.2
2. 3h=sqrt.5-sqrt.2
/3 /3
3. h=sqrt.5-sqrt.2 /3
Hope this helps!
4, 4, 4, 2, 1,
What is the volume of this container?
Answers
Answer:
put a pic i cant see the model
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
Simplify (46)
Give your answer as a power of 4.
Answers
Answer:
0.00000368
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all fractions. 3y - 40 = 9
Answers
Answer:
3y=49
Step-by-step explanation:
yeppp I'm pretty sure
Which inequality represents all values of x for which the quotient below is defined? √x+2÷√5-x
Answers
Answer:
The answer is C -2<x<5 ihope its help-2 ≤ x < 5
represents all values of x which the quotient √(x+2) ÷ √(5-x) is defined.
What is 36838e÷592019339e
Answers
Answer:
Hi! Your answer is down below!
Step-by-step explanation:
Hope this helps!
Have a nice day <3
Answer:
57.2243187
Step-by-step explanation:
it would be way too long to explain
Divide R2
848 in the ratio 3:5.
Answers
Answer:
1 = 3x = 3 x 356 = 1068
2 = 5x = 5 x 356 = 1780
Step-by-step explanation:
Rupees = 2848
3x + 5x = 2848
8x = 2848
x = 2848 / 8 = 356
1 = 3x = 3 x 356 = 1068
2 = 5x = 5 x 356 = 1780
I hope im right!!
9514 1404 393
Answer:
₹318 : ₹530
Step-by-step explanation:
One part is 3/(3+5) of the total, so is ...
(3/8)(₹848) = ₹318 . . . first part
The other part is the remaining 5/8 of the total, so is ...
(5/8)(₹848) = ₹530 . . . second part
Is that right?
Please help
Answers
Answer:
yes x = 16
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is
133 = x + 117 ( subtract 117 from both sides )
16 = x
100 points and a Brainliest
just answer this question
what is dabi real name off of my hero academia
Answers
Answer: Toya Todoroki
Step-by-step explanation:
Answer:
Touya Todoroki
Step-by-step explanation:
i used to watch the show
In ΔJKL, j = 57 cm, k = 12 cm and l=55 cm. Find the measure of ∠L to the nearest degree.
Answers
Answer:
74
Step-by-step explanation:
Answer:
74
Step-by-step explanation:
PLS HELP ME (i will give brainliest) I’m not very smart.
using 3.14 or 22/7. what is the circumference of these 3 circles.
Answers
Answer:
1) 6(3.14) = 18.84 in
2) 9(2)(3.14) = 56.52 cm
3) 1.5(3.14) = 4.71 ft
A rectangular garden has a walkway around it. The area of the garden is 6(5.5x + 2.5). The
combined area of the garden and the walkway is 7.5(8x +4). Find the area of the walkway around
the garden as the sum of two terms.
Answers
Answer:The area of the walkway around is 26 x + 16 as the sum of two terms
Step-by-step explanation:
A rectangular garden has a walkway around it
1. The area of the garden is 4(4.5 x + 1.5)
2. The combined area of the garden and the walkway is 5.5(8 x + 4)
We need to find the area of the the walkway
To find the area of the walkway by subtracting the area of the
rectangle from the combined area
∵ The combined area = 5.5(8 x + 4) ⇒ simplify it
∴ The combined area = 5.5(8 x) + 5.5(4)
∴ The combined area = 44 x + 22
∵ The area of the garden = 4(4.5 x + 1.5) ⇒ simplify it
∴ The area of the garden = 4(4.5 x) + 4(1.5)
∴ The area of the garden = 18 x + 6
Now subtract the area of the garden from the combined area
∵ Area of the walkway = (44 x + 22) - (18 x + 6)
∴ Area of the walkway = 44x + 22 - 18 x - 6
- Add like terms
∴ Area of the walkway = (44 x - 18 x) + (22 - 6)
∴ Area of the walkway = 26 x + 16
The area of the walkway around is 26 x + 16 as the sum of two terms
Step-by-step explanation:
can you help me with my homework please
Answers
Answer:
Yes
Step-by-step explanation:
What Are The Questions
The diameter of a circle is 5 cm. Find its area to the nearest tenth.
Answers
The sum of two numbers is 58. The difference between the same two numbers is 6. Find the two
numbers, and then find the PRODUCT of the two numbers.
The product of the two numbers is 32
The product of the two numbers is 58
The product of the two numbers is 832
The product of the two numbers is 64
Answers
Answer:
The product of the two numbers is 832
Step-by-step explanation:
x+y= 58
x-y=6
2x = 64
x = 32
y = 26
32*26=832
Which would be an estimate for 36,004 ÷ 853
Answers
Answer:
42.21
Step-by-step explanation:
Answer:
42.2086752638
Step-by-step explanation:
calculator
When 0.5(20x – 50y + 36) – 0.25(–100x + 40y – 12) is simplified, what is the resulting expression?
10x-25y+18-25x+10y-3
-15x-15y+15
-10x+25y+18+25x-10y+3
35x-35y+21
Answers
Answer:
35x-35y+21
Step-by-step explanation:
You would have to combine the like terms together to get 35x-35y+21.
By applying algebra properties we notice that the algebraic expression 0.5 · (20 · x - 50 · y + 36) - 0.25 · (- 100 · x + 40 · y - 12) is equivalent to 35 · x - 35 · y + 21. (Correct choice: D) #SPJ5
How to simplify an algebraic expressionIn this question we must simplify an algebraic expression by applying the following list of properties:
Commutative propertyAssociative propertyModulative propertyDistributive propertyExistence of additive inverseExistence of multiplicative inverseNow we proceed to simplify the expression given in the statement:
0.5 · (20 · x - 50 · y + 36) - 0.25 · (- 100 · x + 40 · y - 12) Given
10 · x - 25 · y + 18 + 25 · x - 10 · y + 3 Distributive and associative properties/Definition of multiplication
35 · x - 35 · y + 21 Result
By applying algebra properties we notice that the algebraic expression 0.5 · (20 · x - 50 · y + 36) - 0.25 · (- 100 · x + 40 · y - 12) is equivalent to 35 · x - 35 · y + 21. (Correct choice: D) #SPJ5
To learn more on polynomials, we kindly invite to check this verified question: https://brainly.com/question/11536910 #SPJ5
Taryn buys 8 identical glasses. Her total is $48 before tax. How much did Taryn pay for each pair of glasses?
Answers
Answer:
$12 per pair of glass.
$6 per glass.
Step-by-step explanation:
48/8 = 6
A pair is 2, so I multiplied 6 by 2.
6 x 2 = 12
So, Taryn paired $12 per glass.
--
ANSWER: $12 per pair
EXPLANATION: $48 divided by 8 pairs of glasses equals $6 per glasses. So then you multiply 6 by 2 to get the amount per pair.
Save
What is the solution of the system of equations shown in the graph below?
Answers
Answer:
The point on the plane (4, 2)
That is x = 4 and y = 2
Step-by-step explanation:
Look for the point where the two lines given by the system of linear equations intersect. That point is (4, 2)
x = 4 and y = 2
how many times does the divisor 4 divides into 324
Answers
Answer:
81 times
Step-by-step explanation:
4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4
A teacher lives 8 miles from school. She drives a 2015 Chevy Camaro that gets 19 miles per gallon of gas. How much fuel will she need to get TO AND FROM work for the week?
Answers
Answer:
Step-by-step explanation:
Technically we cannot solve this without knowing how many days a week that she works.
f=(16mi*d)(gal/19mi)
f=(16/19)d
We would have to assume that she works a certain amount of days. If we assume she works every day
f=7(16/19)=112/19, approximately 5.9 gal
Which expression is equivalent to 2a^2b^11/5c^5
Answers
Answer:
The measure of angle JKL is 97 degrees.Apr 12, 2020
Step-by-step explanation:
The measure of angle JKL is 97 degrees.Apr 12, 2020
Write an
expression using scale factor, k, for each dimension?
1D
2D
3D
Answers
the table shows running speeds of 10 randomly selected lions.
speed (miles per hour) 48, 45, 50, 44, 46, 45, 42, 47, 45, 48. based on the data
select the most reasonable prediction about the speed of the lion
A. the top speed of a lion is 48 miles per hour.
B. the typical lion runs at a speed of about 46 miles per hour.
C. the typical lion runs at a speed of about 40 miles per hour.
D. the typical lion runs at speeds greater than 50 miles per hour.
Answers
Answer:
I think B
Step-by-step explanation:
Find the average
Answer:
B
how i know: i took the test
Please help me I dont have that much time