Answers
Given:
The figure of a right angle triangle.
[tex]a=b[/tex]
Hypotenuse = [tex]9\sqrt{2}[/tex] in.
To find:
The missing lengths of the sides.
Solution:
In the given right angle triangle both legs a and b are equal, and hypotenuse is [tex]9\sqrt{2}[/tex] in.
Using Pythagoras theorem, we get
[tex]Hyponteuse^2=Base^2+Perpendicular^2[/tex]
[tex](9\sqrt{2})^2=(a)^2+(b)^2[/tex]
[tex]81(2)=(a)^2+(a)^2[/tex] [tex][\because a=b][/tex]
[tex]81(2)=2(a)^2[/tex]
Divide both sides by 2.
[tex]81=(a)^2[/tex]
Taking square root on both sides.
[tex]\pm \sqrt{81}=a[/tex]
[tex]\pm 9=a[/tex]
Side cannot be negative. So,
[tex]9=a[/tex]
Thus, the missing side lengths are a=9 in and b=9 in.
Therefore, the correct option is C.
Related Questions
Learning Task 1
4/625
11.
796
A. Simplify the radical expressions
1. V63
6. V24
2. 48
7. 781
3. 775
8. V128
4. 99
9. 340
5. 92
12. 128
13. 4/243
14.
V3000
10. V135
15.
NO
Answers
Answer:
Step-by-step874747634734634347
PLS PLS PLS HELPPP please...
Answers
Answer: x=12
Step-by-step explanation: 10(x−3)=90
(10)(x)+(10)(−3)=90 (Distribute)
10x+−30=90
10x−30=90
Step 2: Add 30 to both sides.
10x−30+30=90+30
10x=120
Step 3: Divide both sides by 10.
x=12
Simplify and write the trigonometric expression in terms of sine and cosine:
tan u + cot u = 1/f(u)
Answers
Answer:
we have the expression as;
1/sin u cos u
Step-by-step explanation:
tan u = sin u/cos u
cot u = cos u/sin u
Thus;
sin u/cos u + cos u/sin u
The lcm is sin u cos u
Thus, we have that;
(sin^2 u + cos^2 u)/sin u cos u
But ; sin^2 u + cos^2 u = 1
so we have ;
1/sin u cos u
The requested trigonometric expression in terms of sine and cosine is;
[tex]f(u) = \frac{1}{ \frac{sinu}{cosu} + \frac{cosu}{sinu} } [/tex]
Trigonometric expressions:We must remember,
tan u = sin(u)/cos(u)and cot u = cos(u)/sin(u).Therefore we have;
sin(u)/cos(u) + cos(u)/sin(u) = 1/f(u)
By Cross-product; we have;
[tex]f(u) = \frac{1}{ \frac{sinu}{cosu} + \frac{cosu}{sinu} } [/tex]
Therefore, the required function, f(u) in terms of sin u and cos u is as represented above.
Read more on trigonometry;
https://brainly.com/question/20519838
Parallelogram R S T U is shown. Diagonals are drawn from point R to point T and from point U to point S and intersect at point V. The length of line segment U V is (x + 3) meters and the length of line segment V S is (2 x minus 7) meters. In parallelogram RSTU, what is SU? 10 m 13 m 23 m 26 m
Answers
Answer:
26m
Step-by-step explanation:
The diagonals of a parallelogram bisects each other. Hence the length of UV is equal to the length of VS
UV = VS
x+3 = 2x-7
x-2x = -7-3
-x = -10
x = 10
Get SU
SU = UV+VS
SU = x+3+2x-7
SU = 3x-4
Substitute x=10 into the expression
SU = 3(10)-4
SU = 30-4
SU = 26m
Length of SU is 26m
Answer:
26m i just did it on edg
Step-by-step explanation:
What is the product of 45.23 and 7.4?
Answers
3rd times the charm. Someone please help me.
Answers
Write an inequality that represents the graph. Please help me.
Answers
Answer:
y > 1/2x + 2
Step-by-step explanation:
The rectangles are similar. What is the value of x?
Answers
Answer:
80
Step-by-step explanation:
30 ÷ 6 = 5
16 × 5 = 80
I hope this helped!
What does -(-5) equal/mean?
Answers
Answer:
it means positive 5. because negative + negative = positive or you can think like -1 times -5 which is 5.
Step-by-step explanation:
The product of c and 8 is greater than or equal to - 16.
HELPPPPP
Answers
16. What probability expression is equivalent to P( / z / > 1.96)?
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
Given
[tex]P(Z > 1.96)[/tex]
To determine
What probability expression is equivalent to [tex]P(Z > 1.96)[/tex].
Suppose Z is a standard normal variable.
Therefore,
P(Z > 1.96) = 1 - P(Z ≤ 1.96)
solving
= 1 - Ф(1.96)
[tex]= 1 - 0.9750[/tex]
[tex]= 0.0250[/tex]
What's 9 + 10 ? give me the right answer
Answers
Answer:
19
Step-by-step explanation:
Add 9 to 10
Anya’s team won 4 games out of every 9 games this season. If the team played 45 games, how many games did they win?
Answers
Answer:20
Step-by-step explanation:4:9
9x5=45
4x5=20
20:45
Enter a range of values for x.
a
a
3x-90 930
26
27
[? ]
Answers
Answer:
the answer to your question is 3 and 34
7(2а - 3) - 5a = -3
please show the work
Answers
Answer:
a = 2
Step-by-step explanation:
14a - 21 - 5a = -3
9a - 21 = -3
9a = -3 + 21
9a = 18
a = 2
Question 2
Tahlia solved the equation 5 - 56 -0 by factoring.
Part A: Select the factors of ?-56
(x-7)
(+7)
(x-4)
(+14)
(X-8)
(x+8)
(x+4)
(x-14)
Answers
Answer:
The factors are: (x - 8) and (x + 7)
Step-by-step explanation:
Given
[tex]x^2 - x - 56 = 0[/tex] -- the right equation
Required
Select the factors of the equation
[tex]x^2 - x - 56 = 0[/tex]
Expand the equation
[tex]x^2 + 7x - 8x - 56 = 0[/tex]
Factorize:
[tex]x(x+7)-8(x+7) =0[/tex]
Factor out x + 7
[tex](x-8)(x+7) =0[/tex]
Hence, the factors are: (x - 8) and (x + 7)
A fitness center opens to provide exercise opportunities for a community. The fitness
center charges customers a $35.95 monthly fee plus a one-time $125 administration fee.
What is the total cost of a 12-month membership at the fitness center?
Answers
you would do 35.95 * 12 and then add 125 to the total you get when you multiplied
Jada measured the height of a plant in a science experiment and finds that, to the nearest 1/4 of an inch, it is 4 3/4 inches.
a. What is the largest the actual height of the plant could be? Express your answer in decimal form.
Answers
Answer:
I dont know
Step-by-step explanation:
sorrryy
a farmer has enough food to feed 50 animals in his cattle for 15 days . how long will the food last if there are 25 more animals in his cattle?
Answers
Answer:
The food will last for 10 days
Step-by-step explanation:
Proportions
The amount of food the farmer needs to feed his animals is proportional to the number of animals and to the number of days they are fed.
This can be written as:
Food=k*N*D
Where k is a constant, N is the number of animals and D is the number of days.
We know that the farmer has enough food to feed N=50 animals for D=15 days, thus:
Food=k*50*15=750k
If the same amount of food is used for 50+25=75 animals, then:
750k=k*75*D
Simplifying:
750=75*D
Dividing by 75:
D=10
The food will last for 10 days
Roosevelt High School is known for their marching band's attention to detail. Each band member makes sure that every step is exactly 2 feet so that the whole group stays in sync as they march across the football field. For the first part of their performance, every band member starts on the 50-yard line and marches to the 40-yard line. How many steps does each band member take for this part of the performance
Answers
Answer:
15 steps
Step-by-step explanation:
Find the value of "n" in the following equation
( n^2 x n = 216 )
plz answer asap
Answers
Answer:
Yoy add them to be 2n squared then divide by 2 on both sides then take the square root
To buy a laptop computer, Jane borrowed $5,000 for 3 years at an annual rate of 6%.
How much interest will she pay if she pays the entire loan off at the end of the third
year?
Answers
Answer:
5955.08
Step-by-step explanation:
First year: 5000×(6÷100)=300
Second year : 5300×(6÷100)=318
Third year : 5618×(6/100)=337.08
And = 5955.08
write an equation of the line that passes through the two given points: (-5, -5) and (1,-3)
Answers
Answer:
slope-intercept formula -----> Y2-Y1/X2-X1
Step-by-step explanation:
X1= -5 X2= 1
Y1= -5 Y2= -3
-3+5/1+5=1/3
Can someone tell me if my answer is correct (and correct it if it's not)?
What is the area of an EQUALATERAL triangle with a side length of 6? I'm getting 5.19615242, is this right?
Answers
Answer:
15.59.
Step-by-step explanation:
The altitude of equilateral triangle bisects the base
So 1/2 base = 3.
Altitude of the triangle is found from Pythagoras theorem:
= sqrt(6^2 - 3^2)
= sqrt27
Area = 1/2 base * altitude
= 3 * sqrt27
= 15.59
6 A pair of adjacent angles is formed by lines
AD and CE.
What is the measure of angle ABC?
F 145°
G 217
H 85°
J Not here
Answers
Answer:
x° = 145°
Step-by-step explanation:
x° + (2x - 255)° = 180°
3x = 180 + 255
3x = 435
x° = 145°
Someone plz help me I will give brainliest
Answers
Answer:
Step-by-step explanation:
3/4 + 3/4 + 3/4 + 3/4 + 3/4 + 3/4 = (6 x 3)/4 = 18/4 = 4 1/2
a=2x3^4x5 b=2^3x3^2x5^5 write down the night common factor of A and B PLEASE HELP ASAP PLEASEE!
Answers
Answer:
The HCF of [tex]a=2^1 \cdot 3^4 \cdot 5^1[/tex] and [tex]b = 2^3 \cdot 3^2 \cdot 5^2[/tex] is [tex]90[/tex].
Step-by-step explanation:
To calculate the HCF of two numbers given their prime factorization, we take the lowest exponent of every prime when comparing the two numbers.
So the HCF of [tex]a=2^1 \cdot 3^4 \cdot 5^1[/tex] and [tex]b = 2^3 \cdot 3^2 \cdot 5^2[/tex] is [tex]2^1 \cdot 3^2 \cdot 5^1 = 90[/tex].
Emir flew home from vacation with a heavy bag. With the first airline he flew, Emir had to pay $20 to check his bag, plus $10 for every pound that his bag was over the weight limit. The next flight was with another airline that had the same weight limit. Emir had to pay $5 per pound that his bag was over the weight limit, in addition to the checked bag fee of $30. By coincidence, the fees ended up being the same with both airlines. How large was each airline's fee?
Answers
Answer:
$27.5
Step-by-step explanation:
Let
x = pound over weight limit
Airline 1 = 20 + 10x
Airline 2 = 5 + 30x
Equate the fees
20 + 10x = 5 + 30x
20 - 5 = 30x - 10x
15 = 20x
x = 15/20
x = 0.75 pounds
How large was each airline's fee?
Airline 1 = 20 + 10x
= 20 + 10(0.75)
= 20 + 7.5
= $27.5
Airline 2 = 5 + 30x
= 5 + 30(0.75)
= 5 + 22.5
= $27.5
Alberto buys a 600 balloons. Some of the balloons are pink.and the rest is green. He wants a estimate of the number of pink balloons in the bag. He ask 4 of his friends to each select a random sample of 10 balloons. Each friend returns the sample before the next friend selects a sample.
What is the estimate number of the pink balloons in the bag
Answers
Answer: there are 120 baloons in the bag
Step-by-step explanation:
10/ 600 = 4/x
10x = 1200
10/1200
x= 120
2. Gerald was given the following problem to solve for the length of the "?". He has made a mistake in his work. Identify and describe how he made his mistake. Then, solve the problem correctly.
Answers
Answer:
x = 18.7
Step-by-step explanation:
Gerald's answer is almost correct.
He just needs to switch the 14 and the x.
it should be
24/x = 18/14
solve for x by cross multiplication
18x = (24)(14)
18x = 336
x = 18.7